Answer:
A. (x - 4)² + (y + 7)² = 81
Step-by-step explanation:
The general equation for a circle is given by the formula;
x² + y² + 2hx + 2ky + c = 0 ......equation 1.
Where the center is C(-h, -k)
Also, the standard form of the equation of a circle is;
(x - h)² + (y - k)² = r² ......equation 2.
Where;
h and k represents the coordinates of the centre. r represents the radius of the circle.Given the following data;
h = 4
k = -7
r = 9
Substituting into eqn 2, we have;
(x - 4)² + (y - {-7})² = 9²
Simplifying further, we have;
(x - 4)² + (y + 7)² = 81
Question 5 Use the following information to determine your answers: The typical amount of sleep per night that adults get has a bell-shaped distribution with a mean of 7.5 hours and a standard deviation of 1.3 hours. About 68% of adults typically sleep between a minimum of ___ hours a night and a maximum of ____ hours a night. Please enter your answer in the following format and round to the first decimal place: (min_value, max_value)
Answer:
(6.2, 8.8)
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 7.5 hours
Standard deviation = 1.3 hours
About 68% of adults:
Within 1 standard deviation of the mean. So
7.5 - 1.3 = 6.2 hours
7.5 + 1.3 = 8.8 hours.
So the answer is (6.2, 8.8).
the sum of a four angles of quality is 180 true or false
Answer:
the sum of a four angles of quadrilateral is 180.False
Note: its 360°
false
hope this helps you
Write each percent as a fraction and as a decimal.
7/10%
I NEED THIS BY 2:30PM
The value of 10% as a fraction and a decimal will be 1/10 and 0.1.
How to calculate the percentage?From the information, we want to write the percentage as a fraction as well as a decimal. A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100.
10% as a fraction will be calculated by dividing 10 by 100. This will be:
= 10 / 100
= 1 / 10
10% as a decimal will be calculated by dividing 10 by 100 and giving it in decimal form.
= 1/10
= 0.1
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. Complete question
Write 10% as a fraction and a decimal
Roller coaster A can reach a top speed of 110 ft./s roller coaster B can reach the top speed of 85 mph which roller coaster has a greater top speed
Roller coaster B has greater top speed than roller coaster A.
What is unit conversion?Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.
Given,
speed of roller coaster A = 110ft./s
speed of roller coaster B = 85mph
1 mile = 5280 feet
⇒ 85 mile = 5280 × 85 = 448800 feet
1 hour = 3600 seconds
speed of roller coaster B = 448800/3600 ft/s = 124.67 ft/s
comparing speed of both
Speed of roller coaster B > speed of roller coaster A
Hence, Top speed of roller coaster B is greater than roller coaster A.
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Find each marked side or angle show the step by step
Answer:
taking b as reference angle
using cos rule
cos b=b/h
cos b=1.3/2.8
cos b=0.46
cos 62 =0.46
Step-by-step explanation:
therefore the value of b is 62 degree
I don’t understand the problem and need help
Answer:
D. In a given year, the amount spent on repair decreases by 99 for each oil change the owner gets
Step-by-step explanation:
From the equation given, the slope of the regression model is the Coefficient of x ; which is - $99 ; this means that we have a negative slope value and thus an increase in unit of x will lead to decrease of y, which is the amount spent. Hence, for every oil change athecar gets, the amount spent on repair that year decreases by $99
I need help understanding area with combined shapes
Answer:
Step-by-step explanation:
You can start by splitting one whole complex shape into multiple shapes. Then find the areas of the shapes and add them together. Check the image I attached.
What is the volume of the following rectangular prism? Express your answer in cubic millimeters. 288 mm 3 5,760 mm 3 2,880 mm 3 28,800 mm 3
answer: 2,880
explination: my program marked it as correct
7 - Select the equation that represents a true statement.
Mark all that apply.
A. 2+3 × 4 = 22 +12
B. z+zx9 = 9z O
C. -8y + 4.3y + 3.7 = 0
D. 12-1.8b+ 1.8b = 1.8b
E. m8+7(8) = m
So the only true statement among the options is C. -8y + 4.3y + 3.7 = 0
Define Equation.The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Define Algebraic expression.An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.
A. 2+3 × 4 = 22 +12 is not a true statement, because the order of operations is not followed, multiplication should be done before addition.
B. z+zx9 = 9z is not a true statement, because it is not clear what the operation is between z and x, and what the operation is between x and 9
C. -8y + 4.3y + 3.7 = 0 is a true statement because it is a linear equation with one variable y, it represents a straight line.
D. 12-1.8b+ 1.8b = 1.8b is not a true statement, as it seems to be a mathematical manipulation of one side of the equation to the other, but it doesn't seem to make sense mathematically.
E. m8+7(8) = m is not a true statement, as it seems to be a mathematical manipulation of one side of the equation to the other, but it doesn't seem to make sense mathematically.
So the only true statement among the options is C. -8y + 4.3y + 3.7 = 0
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zero of the polynomial p (x) =3x +4 is
Answer:
4
Step-by-step explanation:
Substitute by 0 in the function
Step-by-step explanation:
p(x) = 3x + 4
p(0) = 3(0) +
p(0) = 0 + 4 => 4 Ans.
To show that NMQ ≈ QPN by SAS, what must be the value or x?
I need help with this please help me
Answer:
x = 3
Step-by-step explanation:
You want to know the value of x, given that NM = 5x-1 and QP = 3x+5 in congruent triangles NMQ and QPN.
CPCTCCorresponding parts of congruent triangles are congruent, so we have ...
NM = QP
5x -1 = 3x +5
2x = 6 . . . . . . . . . . add 1-3x
x = 3 . . . . . . . . . . divide by 2
Rewrite the radical expression as an expression with a rational exponent.
the seventh root of x to the thrid power
x to the three sevenths power
x to the seven thirds power
x^21
x^4
Answer:
To rewrite the radical expression "the seventh root of x to the thrid power" as an expression with a rational exponent, we need to use the property that allows us to rewrite a root of a power as a power with a rational exponent. This property states that "the nth root of x to the mth power" is equal to "x to the m/nth power".
Using this property, we can rewrite "the seventh root of x to the thrid power" as "x to the 3/7th power". Therefore, the correct answer is "x to the 3/7th power".
The other answer choices are not equivalent to the original expression. "x to the seven thirds power" is not a valid expression because "thirds" is not a unit of measurement. "x^21" is not equivalent to the original expression because the base and exponent are not related in the same way as in the original expression. "x^4" is not equivalent to the original expression because the base is the same but the exponent is not.
Answer: x to the 3/7th power
Step-by-step explanation:
so you dont have to read a essay to get the answer lol
Based on the Theoretical Probability of rolling a 1, what is the expected number of times a 1should have been rolled out of the 15 times in the experiment? How does this compare to the Experimental Probability?
Answer:
420 69
Step-by-step explanation:
420 420
2 1/7 - 1 2/5 give your awenser as a mixed number
Answer:
dunno la saya , gak bisa bahasa ingeris
If a copy machine can copy 34 sheets of paper in one minute. How many sheets can it copy in 2 hours?
Answer:
Step-by-step explanation:
34x60
60 minutes in a hour
34x60=204
204+204= 408
408 copies in 2 hours
Answer:
4080
Step-by-step explanation:
First you would multiply 34 by 120. After you multiply those numbers you should get 4080 as your answer.
WILL GIVE POINTS
Three Algebra 1 students are comparing how fast their social media posts have spread. Their results are shown in the following table:
Student Amber Ben Carter
Description Amber shared her photo with 3 people. They continued to share it, so the number of shares increases every day, as shown by the function. Ben shared his post with 2 friends. Each of those friends shares with 3 more every day, so the number of shares triples every day. Carter shared his post with 10 friends, who each share with only 2 people each day.
Social Media Post Shares f(x) = 3(4)x
Day Number of Shares
0 2
1 6
2 18 Carter shared his post with 10 friends, who each share with only 2 people each day.
Write an exponential function to represent the spread of Ben's social media post.
Write an exponential function to represent the spread of Carter's social media post.
Graph each function using at least three points for each curve. All graphs should be placed together on the same coordinate plane, so be sure to label each curve. You may graph your equation by hand on a piece of paper and scan your work, or you may use graphing technology.
Using the functions for each student, predict how many shares each student's post will be received on Day 3 and then on Day 10. Justify your answers.
If Amber decides to mail copies of her photo to the 45 residents of her grandmother's assisted living facility, the new function representing her photo shares is f(x) = 3(4)x + 45. How does this graph compare with the original graph of Amber's photo share?
Based on your results, which student's post travels the fastest? How is this shown in the equation form of the functions?
If you had to choose, would you prefer a post with fewer friends initially but more shares, like Amber, or more friends initially but fewer shares? Justify your answer with your calculations from previous questions.
a. The exponential function to represent the spread of Ben's social media post is f(x) = 2(3)^x
b. The exponential function to represent the spread of Carter's social media post is f(x) = 10(2)^x
c. On Day 3, Ben's post will have 2(3)^3 = 227 = 54 shares, Carter's post will have 10(2)^3 = 108 = 80 shares. On Day 10, Ben's post will have 2(3)^10 = 259049 = 118098 shares, Carter's post will have 10(2)^10 = 101024 = 10240 shares.
d. Adding 45 to the function representing Amber's photo shares changes the function to f(x) = 3(4)x + 45. The new function will shift the graph upward by 45 units.
e. Based on the functions, Ben's post travels the fastest because the base of the exponent, 3, is greater than the base of the exponent, 2, for Carter's post.
f. It depends on the goal of the post. If the goal is to reach a larger audience quickly, then having more friends initially but fewer shares like Carter is preferable. But if the goal is to reach a smaller audience but with a more engaged audience, then having fewer friends initially but more shares like Amber is preferable.
What is exponential function examples?An exponential function is one in which the variable is an exponent. Mathematically, it is defined as f of R in R, such that f(x) = ax, where a ϵ R, a > 0 and a ≠ 1. The graph of this function is a curve obtained by finding some ordered pairs that belong to the function and drawing this curve that passes through them.
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22. Choose ALL the expressions that are equal to 18m+36*
3(15m+33)
6(3m+6)
2(9m+18)
6(3m+30)
3(6m+12)
18(m+2)
Answer:
6(3m + 6)
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PLS HELP NO LINKS PLEASE I NEED ANSWER.What is the surface area of the following triangular prism? 126 yd 2 96 yd 2 162 yd 2 90 yd 2
Answer:
The answer is 96 yd 2
Step-by-step explanation:
5x7=35
4x7=28
3x7=21
then you add all of the total values together:
35+28+21+12=96
Answer:
96 its right
Step-by-step explanation:
ty to the person above
The scatter plot shows the ages of people at a retreat and the number of events they participated in. The equation for the regression line is yˆ=−1.3x+45.8.
Answer:
C
Step-by-step explanation:
For each increase of one year of age, the number of events a person participated in decreases by 1.3. Option C is correct.
As there is only one projection on the x-axis and one projection on the y-axis for each point, scatter plots are graphs that depict individual points of data and are labeled with quantitative values on both coordinate axes. Scatter plots, which display data points on a horizontal and vertical axis, are used to demonstrate how much one variable influences another.
It is given that, the equation for the regression line is yˆ=−1.3x+45.8.
The scatterplot is drawn between the number of events and age which shows the age of event participants.
It is obtained that the number of events a person participated in reduces by 1.3 for every year of age increase.
Thus,option C is correct.
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50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
8.2
Step-by-step explanation:
(4.5)^2+(6.9)^2=c^2
20.25+47.61=67.86
sqrt of 67.86= 8.2 (rounded already) :)
Pls help!! I need this asappp!
∠BCD = 45°
Because,∠EDF is right angle which is 90°, its half will be of 45°. Possibly, the value of ∠CBD is given just to create confusion.
if a borrowed car averges 38 miles per gallon how many miles can u travel with 12 gallons of gas
Will mark brainliest (I also need to find the x and y intercepts)
53/100-27/100 = ?????
Answer:
26/100
Step-by-step explanation:
53/100-27/100 = ?
53-27 = 26
26/100
Someone please solve this pageee!!
On solving the provided question we can say that - the value of the equation x = y^2 -5 from the graph will be 59.
What is graphs?Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
here, the equation from the graphs is
[tex]y^2 = x^8 -7.8x-9,=.43y[/tex]
and y = 8
x = 59
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Ln 4 - Ln x = 2
Solve for x showing all steps. Round to the nearest hundredth.
Please give step by step instruction
HELP ME !! AND EXPLAIN HOW YOU GOT IT.
PLEASE ANSWER !! ILL GIVE BRAINLIEST !!
50 POINTS !!
FAKE ANSWERS WILL GET REPORTED .
Answer: G = 50°, I = 50°, H = 80°
Step-by-step explanation:
First and foremos, the sum of three angles of a triangle is 180°
2x + 2x + (4x - 20) = 180°
8x - 20 = 180°
8x = 180° + 20 (adding 20 on both sides)
8x = 200°
x = 200/8
x = 25
The value of the angles can be found by replacing the value of x with 25
2x = 2 x 25 = 50°
Therefore, the angle of two angles are 50°
And the other is (4 x 25) -20 = 80°
Simplify (write without absolute value sign): |x+3|, if x>2
Answer:
5
Step-by-step explanation:
Substitute 2 in for x
|2+3| = 5
This would take the absolute value of the answer, or in other words once you solve the equation it will remove any negatives to return a positive number. I took the test and I have links to prove it.
One final question, what would be the proper way to write this? I thought it was the last one answer but I’m not sure
Answer:
OMG NO- KEEP IT THAT WAY
You're already right! :)
Two people go to the mall,Mr A said [ I buy 5 bottle of juice and 3 bottle of water , I pay
314 dollars ] . Mr B said [ I buy 1 bottle of juice and 3 bottle of water , I pay 178 dollars ]
How much is a juice ?
Answer: $34
Step-by-step explanation:
They buy the same number of bottles of water
Mr A buys 4 extra bottles of juice and pays $136 more. (5-1=4 and 314-178=136)
Each bottle of juice must cost $34. (136 / 4 = 34)
This assumes the bottles of juice are all the same price!
The water bottles will cost (178 - 34) / 3 = $48.
The values in this problem are unrealistic!