What is the equivalent of the vertical line test when we interpret the test using polar coordinates?

Answers

Answer 1

The polar angle test is the equivalent of the vertical line test in polar coordinates.

What are polar coordinates?

Pοlar cοοrdinates are a system οf cοοrdinates used in mathematics tο describe the pοsitiοn οf a pοint in a plane using a distance and an angle.

In mathematics, the vertical line test is a tοοl used tο determine whether a relatiοn is a functiοn, based οn whether a vertical line intersects the graph οf the relatiοn at mοre than οne pοint.

When working with polar coordinates, a similar tool can be used to determine whether a curve is a function of angle, called the "polar angle test" or the "polar line test." The polar angle test states that if every ray emanating from the pole intersects the curve at most once, then the curve represents a function of angle.

In other words, if we consider the polar coordinates (r, θ) of points on the curve, and we draw a ray from the origin at angle θ for each possible value of θ, then the polar angle test says that if each ray intersects the curve at most once, then the curve represents a function of angle.

For example, the curve r = 1 + sin(θ) passes the polar angle test, since every ray from the origin intersects the curve at most once. On the other hand, the curve [tex]r^2[/tex] = cos(2θ) fails the polar angle test, since some rays intersect the curve at two points, such as the rays at θ = π/4 and θ = 5π/4. Therefore, the curve [tex]r^2[/tex] = cos(2θ) does not represent a function of angle in polar coordinates.

Therefore, The polar angle test is the equivalent of the vertical line test in polar coordinates.

To learn more about vertical line test visit:

https://brainly.com/question/29263148

#SPJ1


Related Questions

HELP!!!
The graph represents a relation where x represents the independent variable and y represents the dependent variable. a coordinate plane with points at negative 5 comma 1, negative 2 comma 0, 0 comma 2, 1 comma negative 2, 3 comma 3, and 5 comma 1 What is the domain of the relation?

Answers

The domain of the relation is the set {-5, -2, 0, 1, 3, 5}.

The domain of a relation is the set of all possible input values (independent variable) that correspond to an output (dependent variable).

The domain of a function or relation is the set of all possible input values (independent variable) that correspond to an output (dependent variable). It represents the values for which the function or relation is defined.

Looking at the given points, we can see that the x-coordinates of the points are -5, -2, 0, 1, 3, and 5. Therefore, the possible input values for this relation (i.e., the domain) are:

Domain: {-5, -2, 0, 1, 3, 5}

So the domain of the relation is the set {-5, -2, 0, 1, 3, 5}.

To know more about Domain here

https://brainly.com/question/2264373

#SPJ1

You can get 52 to point if you answer every single answer hurry up this a test


Determine the number of units a given figure would be translated using the given notation.

Answers

The number of units a given figure would be translated using the given notation are shown below.

What is a translation?

In Mathematics, the translation of a graph to the left is a type of transformation that simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation of a graph to the right is a type of transformation that simply means adding a digit to the value on the x-coordinate of the pre-image.

Based on each of the transformation rule, the number of units a given figure would be translated using the given notation include the following:

(x, y)   →   (x + 7, y - 6)

7 units right.

6 units down.

(x, y)   →   (x - 9, y + 2)

9 units left.

2 units up.

(x, y)   →   (x - 11, y)

11 units left.

0 units up/down.

(x, y)   →   (x - 8, y - 5)

8 units left.

5 units down.

(x, y)   →   (x + 13, y + 3)

7 units right.

3 units up.

(x, y)   →   (x, y + 9)

0 units right/left.

9 units up.

(x, y)   →   (x - 14, y + 12)

14 units left.

12 units up.

(x, y)   →   (x, y - 4)

0 units right/left.

4 units down.

Read more on translation here: brainly.com/question/26869095

#SPJ1

A ladder forms the hypotenuse of a right triangle with a building and the ground, as shown. The ladder reaches to a height of 30 feet on the building, while the base of the ladder is 6 feet from the bottom of the building. What is the length of the ladder?

Answers

The length of the ladder is approximately 30.6 feet. The height of the building is 90 degrees.

Let "θ" be the angle between the ladder and the ground. Then, we have:

sin(θ) = 30 ÷ x

Solving for "x", we get:

x = 30 ÷ sin(θ)

Since the ladder is the hypotenuse, we know that the angle opposite the height of the building is 90 degrees. Therefore, the angle between the ladder and the ground is the complement of this angle, which is:

θ = 90 - arcsin(30 ÷ x)

Substituting this expression for "θ" into the equation for "x", we get:

x = 30 ÷ sin(90 - arcsin(30 ÷ x))

Using the identity sin(90 - θ) = cos(θ), we can simplify this to:

x = 30 / cos(arcsin(30 ÷ x))

Using the identity cos(arcsin(x)) = [tex]\sqrt[] 1-x^{2}[/tex] , we can simplify this further to:

x = [tex]\frac{30}{\sqrt{(1-(30/x^{2}))\\} }[/tex]

Squaring both sides and simplifying, we get:

x² = 30² + 6²

x² = 900 + 36

x² = 936

x = [tex]\sqrt{936}[/tex]

x = 30.6 feet is height of ladder

To learn more about height follow the link:

https://brainly.com/question/10726356

#SPJ1

|||
9
C
Erica has $120. If sweatshirts cost $28.99, estimate the maximum number of
shirts she can buy by rounding the price to the nearest ten.

Answers

Erica can buy a maximum of 4 sweatshirts by rounding the cost to the nearest ten.

How to calculate Rounding off?

A number is approximated to a certain degree of accuracy by rounding it off. The purpose of doing this is usually to make the number easier to deal with or to portray it in a clearer, more accessible manner.

You must take the following actions in order to round off a number:

The digit in the number that you want to round off is known as the rounding digit. The rounding digit is the third digit following the decimal point, or 1, in the example above, if you wish to round off 3.1416 to two decimal places.

Look at the digit that is directly above it: You should round up if this digit is 5 or higher. You should round it down if it is less than 5.

Replace the digits to the right of the rounding digit with zeros: If you are rounding to a certain number of decimal places, you will need to add zeros to the right of the rounding digit to maintain the correct level of precision. For example, if you are rounding 3.1416 to two decimal places, you will need to replace the digits to the right of the rounding digit with zeros, giving you 3.14.Adjust the rounding digit if necessary: If you round up, you will need to

To estimate the maximum number of sweatshirts Erica can buy, we need to divide her total amount of money by the cost of each sweatshirt rounded to the nearest ten.

Rounding $28.99 to the nearest ten gives us $30.

Dividing $120 by $30 gives us:

$120 ÷ $30 = 4

Therefore, Erica can buy a maximum of 4 sweatshirts by rounding the cost to the nearest ten.

Learn more about Rounding of a digit here

https://brainly.com/question/28799337

#SPJ1

you ride a bike to campus a distance of 5 miles and return home on the same route. Going to campus, you ride mostly downhill and average 9 miles per hour faster than on your return trip home. If the round trip one hour and ten minutes that is 7/6 hours; what is your average velocity on your return trip

Answers

Let's call the speed on the way to campus "x". Since you ride 9 miles per hour faster on the way to campus than on the way home, the speed on the way home is "x - 9".

We know that the distance to campus and back is a total of 5 miles in each direction, so the total distance traveled is 10 miles.

We also know that the total time it takes is 7/6 hours.

Using the formula:

Total distance = (average speed) x (total time)

we can set up two equations:

5 = x(t1) (distance to campus)
5 = (x - 9)(t2) (distance back home)

where t1 is the time it takes to get to campus and t2 is the time it takes to get back home.

We also know that t1 + t2 = 7/6, since the total time is 7/6 hours.

We can solve for t1 in terms of t2:

t1 = (7/6 - t2)

Now we can substitute this value for t1 in the first equation:

5 = x(7/6 - t2)

Solving for x, we get:

x = 30/(7 - 6t2)

We want to find the speed on the way back home, which is x - 9.

x - 9 = 30/(7 - 6t2) - 9

Simplifying:

x - 9 = (30 - 9(7 - 6t2))/(7 - 6t2)

x - 9 = (3t2 - 3)/(-6t2 + 7)

Now we can use the fact that t1 + t2 = 7/6 to solve for t2:

t1 + t2 = 7/6

(7/6 - t2) + t2 = 7/6

Solving for t2:

t2 = 1/2

Now we can plug in t2 = 1/2 into the expression we found for x - 9:

x - 9 = (3(1/2) - 3)/(-6(1/2) + 7)

x - 9 = 3/5

x = 42/5

So the speed on the way back home is x - 9 = (42/5) - 9 = 3/5, which is approximately 0.6 miles per minute.

will give brainliest please!! it's due in 30 mins!!
Question: Prove APC = angle DPB​

Answers

Answer:

We know that <APC + < APD = 180. We also know that <APD + <DPB = 180

Thus <APC =  <DPB

Answer:

angle APC is congruent to angle DPB according the theorem -Veritical Angle Theorem.

Step-by-step explanation:

Theorem 2.8 (Vertical Angles Theorem)

If two angles are vertical angles, then they are congruent.

If x/6=x+10/42 what is the value of 6x+10

Answers

Answer:

If the entire mass of the Milky Way was due to gas and stars, how would you expect the rotational speed of a star near the edge of the galaxy to compare to the rotational speed of a star near the center?

Step-by-step explanation:

Amanda was watching her little brother Mike play on a swing
set. She decided that she would like to find his distance above
the ground using a sine or cosine curve. She starts timing and
finds that at t-2 seconds Mike is at his highest point. He
reachers his lowest point exactly 1.5 seconds later. Amanda
also records the highest Mike gets as 9 feet whle the lowest
point occurs at 1 foot. Write an equation that will find Mike's
height after t seconds.

Answers

Putting all these values together, we get the equation: h(t) = 4 cos(2π/3 (t - 2)) + 1 with Mike's height above the ground as a function of time t in seconds, where h(t) is measured in feet.

What is equation?

An equation is a mathematical statement that shows that two expressions are equal. It contains an equals sign (=) and at least two expressions on either side of the equals sign. The expressions on either side of the equals sign can be numbers, variables, or a combination of both, and the equation represents a relationship between them. Equations are used in mathematics to solve problems and find unknown values by manipulating the expressions within the equation while keeping the equality true.

Here,

Assuming that Mike's motion on the swing set follows a periodic pattern, we can model his height above the ground using a sinusoidal function. Let's use the cosine function, since it reaches its maximum value when the input is 0 and decreases to its minimum value at π or 180°.

The general form of a cosine function is:

y = A cos(Bx + C) + D

where:

A = amplitude (half the distance between the maximum and minimum values)

B = frequency (the number of cycles per unit of x)

C = phase shift (horizontal shift of the graph)

D = vertical shift (vertical shift of the graph)

We are given that Mike's highest point is at 9 feet and his lowest point is at 1 foot. Therefore, the amplitude A = (9 - 1) / 2 = 4.

The frequency is determined by the time it takes for Mike to complete one cycle. We know that it takes him 1.5 seconds to go from his highest point to his lowest point and back up again. Therefore, the period of the function is 3 seconds (2 x 1.5), and the frequency is 1/3 cycles per second. Hence, B = 2π/3.

The phase shift is the horizontal displacement of the graph from the origin. We know that at t = 2 seconds, Mike is at his highest point. Therefore, we need to shift the cosine curve 2 seconds to the right to match this point. Thus, C = -2.

Finally, the vertical shift D is the position of the center of the curve. Since Mike's lowest point is at 1 foot, we need to shift the entire curve up by 1 foot. Thus, D = 1.

Putting all these values together, we get the equation:

h(t) = 4 cos(2π/3 (t - 2)) + 1

To know more about equation,

https://brainly.com/question/28243079

#SPJ1

there are several possible heights at which the higher end of the bridge can be attached to the higher end of the mountain. Fill in the table below to use 5 possible values for y, and calculate the resulting values for r

Answers

The resulting values for r will be sqrt(140).

Let's assume that the bridge is a straight line segment that connects the top of the mountain (point A) to a point on the ground (point B).

Let's also assume that the distance from the top of the mountain to point B is a fixed value d.

If we attach the higher end of the bridge to the top of the mountain at a height y, the distance between point A and the attachment point can be calculated using the Pythagorean theorem as:

x = sqrt([tex]d^2[/tex] - [tex]y^2[/tex])

The length of the bridge, which is also the hypotenuse of the right triangle formed by points A, B, and the attachment point, can then be calculated as:

r = sqrt([tex]x^2[/tex] + [tex](d-y)^2[/tex])

To find the values of r for different heights y, we can simply substitute different values of y into these equations and calculate the resulting values of r.

For example, if we use the values d=10 and y=3, we get:

To calculate the values for "r" given 5 possible values for "y," we need to use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the bridge is the hypotenuse, and we know the height of the mountain (x) and the distance from the mountain to the lower end of the bridge (d). So we can write:

r^2 = [tex]x^2[/tex] + [tex](d + y)^2[/tex]

x = sqrt([tex]10^2[/tex] - [tex]3^2[/tex])

x = sqrt(91)

r = sqrt((sqrt([tex]91))^2[/tex] + [tex](10-3)^2[/tex])

r = sqrt(91 + 49)

r =  sqrt(140)

For similar question on resulting values :

https://brainly.com/question/18136991

#SPJ11

A survey is taken at a movie theater in Winterville. The first 150 people who entered the theater were asked about their favorite type of movie. What is true about this situation?

The population is the first 150 people at the theater, and the sample is the total number of people who go to the movie theater.
The population is the number of people who go to the movie theater, and the sample is the number of people in the town of Winterville.
The population is the total number of people who go to the movie theater, and the sample is the first 150 people at the theater.
The population is the number of people in the town of Winterville, and the sample is the number of people who go to the movie theater.

Answers

Answer:

The population is the total number of people who go to the movie theater, and the sample is the first 150 people at the theater.

Step-by-step explanation:

The population is the potential people that could be sampled, and the sample is the people who are being asked the question.

Answer:ccccccccccccccccccccccccccc

Step-by-step explanation:

Tammy ran 4 2
5 miles on Saturday.
On Sunday she ran for 1
2 of the distance
she ran on Saturday. Write and solve an
equation that will help you figure out how
far Tammy ran on Sunday. Explain the
steps you took to solve the problem

Answers

Tammy ran 2.25 miles on Sunday.

What is Linear Equation?

A linear equation is a mathematical expression that describes a straight line on a graph. It is of the form y = mx + b, where "m" is the slope of the line and "b" is the y-intercept.

Let's start by figuring out how far Tammy ran on Sunday. We know that she ran for 1/2 of the distance she ran on Saturday. Therefore, if we let "x" be the distance Tammy ran on Sunday, we can set up the following equation:

x = 1/2(4.5)

Here, we used the fact that Tammy ran 4.5 miles on Saturday.

To solve for "x", we simply need to simplify the right-hand side of the equation:

x = 1/2(4.5)

x = 2.25

Therefore, Tammy ran 2.25 miles on Sunday.

In summary, we used the equation x = 1/2(4.5) to represent the distance Tammy ran on Sunday, where "x" is the unknown distance. We then solved for "x" by simplifying the equation and found that Tammy ran 2.25 miles on Sunday.

To learn more about Linear Equation from the given link

https://brainly.com/question/2030026

#SPJ1

The following table reports the percentage of stocks in a portfolio for nine quarters from
2007 to 2009.
a. Construct a time series plot. What type of pattern exists in the data?
b. Use trial and error to find a value of the exponential smoothing coefficient that results in a relatively small MSE.
c. Using the exponential smoothing model you developed in part (b), what is the forecast of the percentage of stocks in a typical portfolio for the second quarter of 2009?

Answers

1) The time series plot is attached accordingly. The percentage of stocks seems to fluctuate randomly over time.

2)  the optimal value of the smoothing coefficient is 0.5.

3) Therefore, the forecast of the percentage of stocks in a typical portfolio for the second quarter of 2009 is 30.9%.

What is the explanation for the above response?

1) See the attached time series. The percentage of stocks seems to fluctuate randomly over time.

2)  To find the optimal value of the smoothing coefficient that results in a relatively small mean squared error (MSE), we can use a trial-and-error approach. We can try different values of the smoothing coefficient α and calculate the MSE for each value. The smoothing coefficient that results in the smallest MSE is the optimal value.

Using other software, we can apply exponential smoothing to the data and try different values of α. For example, we can start with α=0.1 and increment it by 0.1 until we find the optimal value.

The following table shows the results of applying exponential smoothing with different values of α: See attached.

From the table, we can see that the smallest MSE is obtained when α=0.5. Therefore, the optimal value of the smoothing coefficient is 0.5.

c. Using the optimal value of the smoothing coefficient α=0.5, we can forecast the percentage of stocks in a typical portfolio for the second quarter of 2009. To do this, we use the following formula for exponential smoothing:

F(t+1) = α x Y(t) + (1-α) x F(t)


where F(t+1) is the forecast for the next period, Y(t) is the actual value in the current period, and F(t) is the forecast for the current period.

To apply this formula, we start with the first quarter of 2007 as the initial forecast value:

F(1) = Y(1) = 29.8

Then, we can use the formula to calculate the forecast for each subsequent quarter:


F(2) = α x Y(2) + (1-α) x F(1) = 0.5 x 31.0 + 0.5 x 29.8 = 30.4

F(3) = α x Y(3) + (1-α) x F(2) = 0.5 x 29.9 + 0.5 x 30.4 = 30.2

F(4) = α x Y(4) + (1-α) x F(3) = 0.5 x 30.1 + 0.5 x 30.2 = 30.2

F(5) = α x Y(5) + (1-α) x F(4) = 0.5 x 32.2 + 0.5 x 31.2 = 31.7

F(7) = α x Y(7) + (1-α) x F(6) = 0.5 x 32.0 + 0.5 x 31.7 = 31.9

F(8) = α x Y(8) + (1-α) x F(7) = 0.5 x 31.9 + 0.5 x 31.9 = 31.9

F(9) = α x Y(9) + (1-α) x F(8) = 0.5 x 30.0 + 0.5 x 31.9 = 30.9

Therefore, the forecast of the percentage of stocks in a typical portfolio for the second quarter of 2009 is 30.9%.

Learn more about time series plot at:

https://brainly.com/question/30898325

#SPJ1

Full Question:

Although part of your question is missing, you might be referring to this full question:

The following table (See attached image) reports the percentage of stocks in a portfolio for nine quarters from

2007 to 2009.

a. Construct a time series plot. What type of pattern exists in the data?

b. Use trial and error to find a value of the exponential smoothing coefficient that results in a relatively small MSE.

c. Using the exponential smoothing model you developed in part (b), what is the forecast of the percentage of stocks in a typical portfolio for the second quarter of 2009?

on the July 7 billing date, Marvin had a balance due of $216.71 on his credit card. the transactions during the following month were

July 14 office supplies $52.04 July 17 scarf $15.66
July 21 payment of $100
July 24 charge: toy truck $44.03

the interest rate on the card is 1.25% per month. using the previous balance method find the finance charge on August 7 then find the new balance of August 7.

simple interest formula i=prt

Answers

Answer:

The first step is to calculate the average daily balance for the billing cycle. This is done by adding up the daily balances for each day of the billing cycle and then dividing by the number of days in the billing cycle. In this case, the billing cycle is from July 7 to August 6, so there are 31 days in the billing cycle.

The daily balances are as follows:

* July 7: $216.71

* July 14: $268.75

* July 17: $284.37

* July 21: $116.71

* July 24: $260.74

The average daily balance is therefore $226.81.

The next step is to calculate the finance charge. This is done by multiplying the average daily balance by the interest rate and then by the number of days in the billing cycle. In this case, the interest rate is 1.25% and the number of days in the billing cycle is 31 days.

The finance charge is therefore $7.43.

The final step is to calculate the new balance. This is done by adding the finance charge to the previous balance. In this case, the previous balance is $216.71 and the finance charge is $7.43. The new balance is therefore $224.14.

Here is the solution in mathematical form:

* Average daily balance = (216.71 + 268.75 + 284.37 + 116.71 + 260.74) / 31 = 226.81

* Finance charge = 226.81 * 0.0125 * 31 = 7.43

* New balance = 216.71 + 7.43 = 224.14

Step-by-step explanation:

Adzo says the graph is of the function y = 2-¹x - √25.
Ben says it is y- 5 = 0.5x. Who is correct? Explain your answer.

Answers

Based on the information provided, I think that Ben is correct.

Let's analyze and compare the given expressions:

Adzo says the graph is of the function y = 2-¹x - √25.

In this expression, y is equal to 2 raised to the power of -1 multiplied by x, minus the square root of 25. This can also be written as y = (1/2)x - 5.

Ben says it is y - 5 = 0.5x.

In this expression, y - 5 is equal to 0.5 times x.

How do we compare the expressions?

Comparing the two expressions, we can see that Ben's expression, y - 5 = 0.5x, is a linear equation in slope-intercept form, where the slope is 0.5 and the y-intercept is -5, representing a straight line on a graph.

On the other hand, Adzo's expression, y = (1/2)x - 5 or y = 2-¹x - √25, also represents a straight line on a graph with a slope of 1/2, but it is shifted vertically downward by 5 units due to the subtraction of 5 in the expression.

Thus, both expressions represent straight lines on a graph, however Ben's expression is in the standard slope-intercept form.

Learn more about graph at brainly.com/question/9590016.

#SPJ1

writing an equation in standard form on a graph

what is the equation in standard form of the line shown on the graph?


O x = 4
O y = 4
O x + y = 4
O x - y = 4

graph shown in picture

Answers

Answer:

Step-by-step explanation:

y = 4

cause its at y

Decide whether ▱ABCD with vertices A(−6, 2), B(−3, 5), C(0, 2), and D(−3 ,−1) is a rectangle, a rhombus, or a square. Select all names that apply.

Answers

ABCD is a square, rhombus, and rectangle.

Checking whether ABCD with vertices A(6, 2), B(3, 5), C(0, 2), and D(3, 1) fits the definition of each shape can help us determine whether it is a rectangle, rhombus, or square.

A parallelogram with four right angles is a rectangle. We can determine the slopes of AB and CD and BC and AD separately to see if ABCD is a rectangle. It is a rectangle if the opposite sides are perpendicular and they are negative reciprocals of one another.

[tex]Slope \ of \ AB = \frac{(5 - 2)} { (-3 + 6)} = 1 \ Slope\ of\ CD = \frac{(-1 - 2)} { (-3 - 0)} = -1 \ Slope \ of\ BC =\frac{ (2 - 5)}{ (0 + 3)} = -1 \ Slope\ of\ AD = \frac{(2 - (-1))}{ (-6 + 3)} = 1[/tex]

The opposite sides are perpendicular to one another since AB and CD have negative reciprocal slopes and BC and AD do too. In light of this, ABCD is a rectangle.

A parallelogram with four congruent sides is called a rhombus. We can determine the separation between each pair of vertices in ABCD to determine if it is a rhombus. It is a rhombus if the lengths of the four sides are equal.

[tex]Distance\ between\ A \ and\ B = \sqrt{{(5 - 2)}^2 + {(-3 + 6)}^2} = \sqrt(10) \ Distance\ between\ B \ and\ C = \sqrt{({(2 - 5)}^2 + {(0 + 3)}^2)} = \sqrt(10) \ Distance\ between\ C\ and\ D = \sqrt{((-1 - 2)^2 + (-3 - 0)^2) }= \sqrt(10) \ Distance \ between\ D \ and \ A = \sqrt{((2 - (-1))^2 + (-6 + 3)^2)} = \sqrt(10)[/tex]

ABCD is also a rhombus since the lengths of all four sides are equal.

A parallelogram having four identical sides and four right angles is called a square. We can combine the tests for rectangles and rhombuses to determine whether ABCD is a square.

Since ABCD satisfies the requirements for both rectangles and rhombuses, it is also required to be a square.

Hence, ABCD is a square, rhombus, and rectangle.

learn more about parallelogram

https://brainly.com/question/29147156

#SPJ1

If an answer for this question is not a whole number, enter it as a decimal.
Students collected a random sample of data on how many seconds 7th grade boys and 7th grade girls could maintain a handstand
The data collected from the sample is shown below.
7th grade boys: 19, 17, 19, 20, 19, 18, 19, 24
7th grade girls: 16, 21, 17, 16, 18, 19, 21, 18
The difference between the boys' mean time and the girls' mean time is
second(s)
second(s)
The difference between the boys' median time and the girls' median time is
Based on the sample data, which population of students, the 7th grade boys or the 7th grade girls, would be more likely to hold a
handstand for about 19 seconds or more? the 7th grade

Answers

Based on the sample data, 7th grade boys, would be more likely to hold a handstand for about 19 seconds or more.

The difference between the boys' mean time and the girls' mean time is 1 second.

The difference between the boys' median time and the girls' median time is 1.5 seconds.

What is sample data?

A subset of data collected from a larger population. It is typically used to represent the larger population and is used for testing and analysis.

In this data set, the mean time of the 7th grade boys= 19.375 seconds, while the mean time of the 7th grade girls = 17.875 seconds.

This means that the 7th grade boys have a higher mean time than the 7th grade girls.

The difference is 1.5 seconds.

The median time of the 7th grade boys = 19 seconds, and the median time of the 7th grade girls = 18 seconds.

This also indicates that the 7th grade boys have a higher median time than the 7th grade girls.

The difference is 1 second.

Given this data, the 7th grade boys are more likely to hold a handstand for about 19 seconds or more than the 7th grade girls.

This is because the mean and median times for the 7th grade boys are higher than the mean and median times for the 7th grade girls.

This indicates that the 7th grade boys have a higher average time than the 7th grade girls, and thus, are more likely to hold a handstand for a longer period of time.

For more questions related to median

https://brainly.com/question/26177250

#SPJ1

if the volume of a cube can be represented by a polynomial of degree 9, what is the degree of the polynomial that represents each side lenght

Answers

Answer:

Each side length of the cube will be a polynomial of degree 3.

helpppppppppppppppppppppppppppp

Answers

Answer: 9+3z<-12

Step-by-step explanation: because first  -3(2-z)= -6+3z

then 15-6=9

so then it is 9+3z for the left side and we didn't touch the right side so it would be the same

Question 1 of 3
The sum of the interior angles of a regular polygon is 3060°.
Complete the statement.
How Many has the regular polygon?

Answers

Answer:

the regular polygon has 15 angles

Which is a solution for the following system of inequalities?

Answers

the answer is plus or minus 10

A speaker claimed that if the number of factories in the country increases by 3% per annum, then even if they all immediately reduced the amount of pollution they produce by 80%, the total annual pollution will be back to its present level in about 50 years. (Hint use Logarithms)​

Answers

Actual time is much longer than the 50-year timeframe suggested by the speaker.

How to verify the statement?

This claim is based on the assumption that the rate of pollution reduction from each factory remains constant at 80%, and the number of factories increases by 3% per annum.

To verify this claim, we can use the following formula to calculate the expected total pollution after n years:

Total pollution after n years = [tex]Present \: pollution \: level x (1 + 0.03)^n \times (1 - 0.8)^n[/tex]

Here, the first factor represents the increase in pollution due to the growth in the number of factories, and the second factor represents the reduction in pollution due to the 80% reduction in pollution from each factory.

We can set the expected total pollution after n years equal to the present pollution level and solve for n:

[tex]Present \: pollution \: level = Present \: pollution \: level \times (1 + 0.03)^n \times (1 - 0.8)^n[/tex]

Simplifying this equation, we get:

[tex]1 = 1.03^n \times 0.2^n[/tex]

Taking the logarithm of both sides of the equation, we get,

[tex]n \times log(1.03) + n \times log(0.2) = 0 \\ n \times (log(1.03) + log(0.2)) = 0 \\ n = \frac{0} { (log(1.03) + log(0.2))} \\ n = 271.56[/tex]

Therefore, according to this calculation, it would take approximately 272 years for the total annual pollution to return to its present level if the number of factories in the country increases by 3% per annum, and they all immediately reduce the amount of pollution they produce by 80%. This is much longer than the 50-year timeframe suggested by the speaker.

It is important to note that this calculation assumes that the pollution reduction from each factory remains constant at 80% and does not take into account any other factors that may affect pollution levels, such as changes in technology or regulations. Therefore, this should be considered as a rough estimate and not as an exact prediction.

Learn more about pollution here,

https://brainly.com/question/24704410

#SPJ1

Correct question is "A speaker claimed that if the number of factories in the country increases by 3% per annum, then even if they all immediately reduced the amount of pollution they produce by 80%, the total annual pollution will be back to its present level in about 50 years. Verify the statement. (use logarithm)"

1. I ............. she will to the party, I really want to see her.

a) expect
b) hope
c) want
d) believe

Answers

Answer:

1. I ............. she will to the party, I really want to see her.

a) expect

b) hope

c) want

d) believe

Step-by-step explanation:

You're welcome.

hope

because it’s describes that the person wants them to come in an expecting way

find x if 2x+3x+3x-4x=32x^2

Answers

Answer: x=0, x=1/8

Step-by-step explanation:

Simplifying the equation give us: 4x=32x^2

Subtract 4x from both sides: 32x^2-4x=0

Factor:4x(8x-1)=0

Using the Zero Product Property, x=0, x=1/8

Answer:

x equals 0  it wont only  let me put answer so i am typing more

3/2=4x what is x



Solve the equation.
3
2
=
4

2
3

=4xstart fraction, 3, divided by, 2, end fraction, equals, 4, x

=
x=x, equals

Answers

Answer:

  x = 3/8

Step-by-step explanation:

You want the solution to 3/2 = 4x.

One-step equation

You solve this one-step linear equation by multiplying both sides by the inverse of the x-coefficient:

  [tex]\dfrac{3}{2}=4x\qquad\text{given}\\\\\\\dfrac{1}{4}\times\dfrac{3}{2}=\dfrac{1}{4}\times4x\\\\\\\dfrac{3}{8}=\dfrac{4}{4}x\\\\\\\boxed{x=\dfrac{3}{8}}[/tex]

__

Additional comment

The "one step" is multiplying both sides by 1/4. The rest is simplifying the result.

Of course, this is the same as dividing both sides by 4. The result is x = (3/2)÷4 = 3/(2·4) = 3/8.

Ariel checked the prices of 9 dog training programs. The prices were: $78.00$78.00$80.00$77.00$78.00$77.00$78.00$77.00$79.00 What was the median price charged?

Answers

The median price charged is $78.00

The median of the data:

The median of a set of data is the middle value when the data is arranged in numerical order.

In other words, it is the value that separates the data into two halves, with half of the values being less than the median and half being greater than the median. If there is an even number of data points, the median is the average of the two middle values.

Here we have

The prices of 9 dog training programs were:

$ 78.00, $ 78.00, $80.00, $77.00, $78.00, $77.00, $78.00, $77.00, $79.00

To find the median price, we need to arrange the prices in order from least to greatest:

$77.00,  $77.00, $77.00,  $78.00, $78.00, $78.00, $78.00, $79.00, $80.00

There are nine prices, which is an odd number,

So the median is the middle number.

In this case, the middle number is the fifth number, which is $78.00

Therefore,

The median price charged is $78.00

Learn more about Median at

https://brainly.com/question/31098693

#SPJ1

Given: circle k(O) with diameter AB and CD ⊥ AB

Prove: AD·CB=AC·CD

Answers

For a circle [tex]k(O)[/tex] with diameter AB and CD [tex]\bot[/tex] AB, it is proved that [tex]AD\times CB=AC\times CD[/tex], using similarity of triangles.

Given:

circle [tex]k(O)[/tex] with diameter AB

CD [tex]\bot[/tex] AB

To Prove: [tex]AD\times CB=AC\times CD[/tex]

Proof:

In [tex]\Delta ADC[/tex] and [tex]\Delta CDB[/tex],

[tex]\angle ADC = \angle CDB = 90^\circ[/tex]

[∵Both are right angle triangles]

[tex]CB = CB[/tex] [Common side]

[tex]\implies\dfrac{AC}{CB} =\dfrac{CD}{DB}[/tex]

Thus, [tex]\Delta ACD[/tex] is similar to [tex]\Delta CDB[/tex] by RHS similarity.

Therefore, we can write,

[tex]\dfrac{AD}{CD} =\dfrac{AC}{CB}[/tex] [Since corresponding sides of similar triangles are proportional]

[tex]\implies AD\times CB = AC\times CD[/tex]

Hence proved.

Learn more about similarity here:

brainly.com/question/25882965

Recursive Rules from Word Problems

1) Sally started a new job. After depositing her 1st paycheck into her bank account she had
$225. Every week she was paid the same amount. After her 8th paycheck she had $1275 in her
bank account.

Complete the table

Answers

after her 2nd paycheck, Sally had $375 in her bank account, after her 3rd paycheck she had $525, after her 4th paycheck she had $675, after her 5th paycheck she had $825, after her 6th paycheck she had $975, and after her 7th paycheck she had $1125.

How to solve the problem?

Let's call the amount that Sally gets paid every week "x". We know that after her 1st paycheck, she had $225, so we can write:

1st paycheck: $225

2nd paycheck: $225 + x

3rd paycheck: $225 + 2x

4th paycheck: $225 + 3x

5th paycheck: $225 + 4x

6th paycheck: $225 + 5x

7th paycheck: $225 + 6x

8th paycheck: $225 + 7x = $1275

To solve for "x", we can start by subtracting $225 from both sides of the equation for the 8th paycheck:

$225 + 7x = $1275

7x = $1050

x = $150

So Sally gets paid $150 every week.

To find the amount of money she had in her account after each paycheck, we can substitute "x" into the equations above:

1st paycheck: $225

2nd paycheck: $225 + $150 = $375

3rd paycheck: $225 + 2($150) = $525

4th paycheck: $225 + 3($150) = $675

5th paycheck: $225 + 4($150) = $825

6th paycheck: $225 + 5($150) = $975

7th paycheck: $225 + 6($150) = $1125

8th paycheck: $225 + 7($150) = $1275

Therefore, after her 2nd paycheck, Sally had $375 in her bank account, after her 3rd paycheck she had $525, after her 4th paycheck she had $675, after her 5th paycheck she had $825, after her 6th paycheck she had $975, and after her 7th paycheck she had $1125.

To know more about paycheck visit :-

https://brainly.com/question/28905653

#SPJ1

which of the following describes a move away from capitalism

Answers

The nationalization of major industries in Hugo Chavez's Venezuela describes a move away from capitalism. Thus, option C is correct.

What is capitalism?

Capitalism is an economic system characterized by private ownership of the means of production and the creation of goods or services for profit in a competitive market. In capitalism, individuals and businesses are free to invest and produce goods and services that they can sell for a profit.

A move away from capitalism would entail a shift in economic system from one that is primarily driven by profit and private ownership to one that prioritizes social welfare and collective ownership.

Chavez, a clοse ally οf Cuba’s cοmmunist leaders, has steadily increased the rοle οf the state in Venezuela with a slew οf natiοnalizatiοns and tοugh cοntrοls οn prices and fοreign exchange.

Despite an ecοnοmy weakened by lοwer οil incοme, Chavez has sοlid apprοval ratings and is nοw pοwering ahead with his plan tο regulate and reduce the private sectοr in the OPEC cοuntry

Therefore, The nationalization of major industries in Hugo Chavez's Venezuela describes a move away from capitalism. Thus, option C is correct.

To learn more about Capitalism from given link.

https://brainly.com/question/25879591

#SPJ1

Complete question:

Which of the following describes a move away from capitalism?

O A. Sweden's 1980s cutback on social programs

O B. the transformation of the former Soviet Union to today's Russia

O C. the nationalization of major industries in Hugo Chavez's Venezuela

O D. economic reforms following the Great Depression in the United States

Text → Graphing Exponential Functions: Mastery Test
2
Select the correct answer.
Which statement correctly compares the graph of function g with the graph of function f?
f(x) = e - 4
g(x) =
- 4
OA.
OB.
O C.
O D.
The graph of function g is a horizontal shift of the graph of function f to the left.
The graph of function g is a vertical stretch of the graph of function f.
The graph of function g is a horizontal shift of the graph of function f to the right.
The graph of function g is a vertical compression of the graph of function f.

Answers

Answer:

x=2

Step-by-step explanation:

4 x1,2 =2

The correct statement which compares the graph of function g with the graph of function f is,

⇒ The graph of function g is a vertical compression of the graph of function f.

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Functions are,

f (x) = eˣ - 4

g (x) = 1/2eˣ - 4

Now, We have to find that;

The graph of function g is a vertical compression of the graph of function f.

Hence, The correct statement which compares the graph of function g with the graph of function f is,

⇒ The graph of function g is a vertical compression of the graph of function f.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ5

Other Questions
PLEASE HURRY! 20 POINTS! I WILL GIVE BRAINLIEST IF DONE!Creative Capacities Part 1 Directions: Use the information in the chart to answer the questions. Show your work and include equations to show how you solved each problem. Refer to the unit glossary terms to remind yourself of the measurement conversions.Mandy wants to buy a variety of beverages for her brunch party. She wants to make sure she has enough to drink for all her friends, so she decides to buy 10 liters of beverages. She also wants to buy at least one of each beverage.1. Complete the table to record the amount of each beverage in liters. Show your work in the space below. (Hint: 1 liter = 1,000 milliliters2. If she buys one container of each beverage, how many liters of beverage will she have3. What combination of beverages can she buy to equal exactly 10 liters?Part 2Directions: Use the information in the chart to answer the questions.1. Complete the table to record the amount of each beverage in liters.Show your work in the space below.(Hint: 1 liter equals 1,000 milliliters During ww1 anti war activity or suspicious behavior was sought out by which of the following After raining for most of the day, it started to snow in the evening. Which weather change is most likely responsible for this change? (2 points) a A decrease in temperature b A decrease in wind speed c An increase in pressure d An increase in the number of clouds dinitrogen monoxide gas is collected at in an evacuated flask with a measured volume of . when all the gas has been collected, the pressure in the flask is measured to be . calculate the mass and number of moles of dinitrogen monoxide gas that were collected. round your answer to significant digits. Charlie's family is going to relax at the beach all day! In preparation, Charlie made s sandwiches for them to eat when they get hungry. Charlie put 3 slices of turkey and 3 slices of ham on each sandwich did colonial leaders use the boston massacre as propaganda to turn the colonists against the british Solve problem 24 and explain how you solved it lack of emotional expression, especially in situations that call for great joy or sadness, is referred to as using the balanced chemical reaction equations, and the energies of the reactants and products, calculate the combustion of glucose O2 = 498kj/1 mol o2, 1598kj/1mol H2O = 934kj/1mol H2O, use correct units EARTH AND SPACE SCIENCE!Scientist who ushered out old astronomy by constructing a model of the solar system with the Sun at its center and the planets moving around the Sun.a.) Galileo Galileib.) Nicolaus Copernicusc.) Tycho Brahed.) Sir Isaac Newton According to the book ' Random family ' by Adrain Nicole Leblanc. We all cope with hard situations differently. Some turn to drugs, alcohol, and violence. How is Mercedes coping with the absence of her father? which effects of instructing a patient with depression to take the daily dose of clomipramine at bedtime are desirable? (select all that apply.) which concept/principle supports the notion that for companies reporting their financial statements in united states dollars, no adjustments are made for the effects of inflation? Ms. Angelino made 2 pans of lasagna andcut each pan into twelfths. Her family ate112 pans of lasagna for dinner. How manypans of lasagna were left? (Lesson 6.7)A. 11/12B.1 11/12C.2 1/12D.3 1/12 Which term describes the energy the reactant molecules must meet for a reaction to progress?O average kinetic energy of reactantsO enthalpyO activation energyO average kinetic energy of products Every storage device has a directory containing a list or its files Use the discriminant to describe the roots of each equation. Then select the best description. 2x2 + 7x + 6 = 0 real and irrational roots real and rational roots double root non-real roots During the past thirty years, there has been much scholarly work devoted to theideological conflict between two of the twentieth century's most influential blackleaders, Booker T. Washington and W.E.B. DuBois. While each participant in thestruggle was convinced of the correctness of his own way of thought, it is importantto remember that each shared the same goal, that is, the elevation of the black racefrom the state of slavery to a more acceptable level of existence. Where they dif-fered was primarily in the means of achieving this end, and in the selection of pri-orities to be met along the way. Booker T. Washington, an ex-slave and founder ofthe Tuskegee Institute, the largest and best-supported black college of the time,believed that, under the existing conditions at the turn of the century, the blacks ofAmerica should confine themselves to industrial education and manual labor ratherthan political protest. "The wisest among my race", Washington claimed in 1895,"understand that the agitation of questions of social equality is the extremestfolly." What Washington demanded in return for political docility, however, wasthat the white establishment impose no barriers to black economic advancement, butinstead work with blacks "in all things essential to mutual progress." Through thiscompromise, and through the self-determination of his race, Washington believedthat blacks could continue their slow but steady evolution upward from the bonds ofslavery toward a later date when social equality might become a reality. Thus,Washington publicly advocated the temporary compromise of civil rights for eco-nomic opportunity, a transaction which W.E.B. DuBois, after witnessing the furtherWhat is the thesis statement the equilibrium level of income will rise when: group of answer choices planned consumption spending is less than real gdp. taxes exceed saving. supply exceeds demand. planned inventory investment is negative. aggregate expenditures exceed real gdp. Lydia has a bag that contains orange chews, cherry chews, and peach chews. She performs an experiment. Lydia randomly removes a chew from the bag, records the result, and returns the chew to the bag. Lydia performs the experiment 62 times. The results are shown below:A orange chew was selected 25 times.A cherry chew was selected 24 times.A peach chew was selected 13 times.Based on these results, express the probability that the next chew Lydia removes from the bag will be orange or peach as a percent to the nearest whole number.