A baseball player tosses a ball straight up into the air. The function y= -16x squared + 30x +5 models the motion of the ball, where x is the time in seconds and y is the height of the ball in feet. Write an equation you can solve to find out when the ball is at a height of 15 feet.

Answers

Answer 1

Therefore, at two separate moments, x = 0.28 and x = 1.17, the ball stands at a height of 15 feet. (rounded to two decimal places).

What sort of equation would that be?

The meaning of an equation in algebra is a mathematical assertion that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are split by the 'equal' symbol.

To find out when the ball is at a height of 15 feet, we need to solve the equation:

-16x² + 30x + 5 = 15

First, we can simplify the equation by subtracting 15 from both sides:

-16x² + 30x - 10 = 0

Now we can divide both sides by -2 to make the coefficient of the x² term positive:

8x² - 15x + 5 = 0

This is a quadratic equation in standard form, where a = 8, b = -15, and c = 5. Using the quadratic method, we can find x:

x = (-b ± √(b² - 4ac)) / 2a

Plugging in the values, we get:

x = (-(-15) ± √((-15)² - 4(8)(5))) / 2(8)

x = (15 ± √(225 - 160)) / 16

x = (15 ± √65) / 16

Therefore, the ball is at a height of 15 feet at two different times:

x ≈ 0.28 seconds and x ≈ 1.17 seconds (rounded to two decimal places).

To know more about Equation visit:

https://brainly.com/question/22688504

#SPJ1


Related Questions

State the principle of mathematical induction

Answers

The principle of mathematical induction is a method of proof used in mathematics to prove that a statement is true for all natural numbers.

It is based on the idea that if the statement is true for one number, then it can be used to prove that it is true for the next number. Mathematical induction can be expressed mathematically as follows:

Let P(n) be a statement involving an integer n

Base Case: P(m) is true for some m

Induction Hypothesis: Assume P(k) is true for some k>m.

Induction Step: Show that P(k+1) is true.

Therefore, P(n) is true for all n>m

Learn more about Mathematical induction here:

https://brainly.com/question/30893280

#SPJ1

Please help to solve this problem

Answers

When event 1, 6, and 8 are checked, probability  P(X) equals 3/8.

When event 2, 3, 4,5, and 7 are checked, P(not X) equals 5/8.

Describe probability.

Simply put, probability is the likelihood that something will occur. The study of events with a probability distribution is called statistics.

There are eight balls in the bag, numbered one to eight.

Five balls are grey, while the remaining ones are all white.

2,3,4,5, and 7 are the gray-colored balls.

The white coloured balls are 1, 6, and 8, and the probability of getting a grey ball is P(not X).

P(not X) = Chance of receiving a grey ball a) Calculate P(X) and P (not X)

1, 6, and 8 are verified for event X, and P(X) equals 3/8.

2,3,4,5, and 7 are tested for the event "not X," and P(not X) = 5/8.

To know more about event, visit:

https://brainly.com/question/12961938

#SPJ1

NEED HELP WILL GIVE BRAINLIEST AND 5 STARS ITS DUE IN 20 min

Answers

In this question, f is a one-to-one function and f(0)=7. Thus, f⁻¹(7)=0.

As we already know that f(0)=7,

then (f(0))⁻¹ = f⁻¹(7)=0.

Thus, (f(0))⁻¹=0.

What is one-to-one function?

These are important as they can be used to show the existence of an inverse function. A one-to-one function is a type of mathematical function that maps one element of its domain to exactly one element of its codomain. This means that for every element of the domain, there is a unique element of the codomain.

f⁻¹(7)=0

The inverse of a one-to-one function f is denoted by f⁻¹, and it is defined as the inverse of the function f.

In this question, f is a one-to-one function and f(0)=7.

This means that the inverse of f, f⁻¹, maps 7 to 0.

Thus, f⁻¹(7)=0.

(f(0))⁻¹=0

Since the inverse of a one-to-one function f is denoted by f⁻¹, then (f(0))⁻¹ is the inverse of f(0).

As we already know that f(0)=7, then (f(0))⁻¹ = f⁻¹(7)=0.

Thus, (f(0))⁻¹=0.

To summarize, f⁻¹(7)=0 and (f(0))⁻¹=0 since f is a one-to-one function and f(0)=7.

This is because the inverse of a one-to-one function f is denoted by f⁻¹ and it maps 7 to 0.

Thus, f⁻¹(7)=0 and (f(0))⁻¹=0.

For more questions related to domain

https://brainly.com/question/28934802

#SPJ1

Below is data for people visiting the 'Starry eyes' exhibition for the last 13 days. Calculate the Mean, Median and Mode and drag the correct answer into the table.


OPTIONS:

No Mode | 51.63 | 54 | 45.63 | 43 | 30 | 55.18 | 57 | 34 | 39.09 | 38.81| 47.5 | 42.9 | 50 | 29 | 46

Answers

The following values are in No Mode: 51.63, 54, 45.63, 43, 30, 55.18, 57, 34, 39.09, 38.81, 47.5, 42.9, 50, 29 and 46. There is no Mode; the Median is 45.63; the Mean is approximately 44.99.

In order to determine the Mean, Median, and Mode for the provided data set:

Sort the information in ascending order:

29, 30, 34, 38.81, 39.09, 42.9, 43, 45.63, 46, 47.5, 50, 51.63, 54, 55.18, 57

Mean:

The mean is calculated as follows:

Mean is the average of all values (number of values)

Mean = (29 + 30 + 34 + 38.81 + 39.09 + 42.9 + 43 + 45.63 + 46 + 47.5 + 50 + 51.63 + 54 + 55.18 + 57) / 15

Mean ≈ 44.99

Median:

When the values are organised in order, the median is the middle value in the data set. The median is the value in the middle when there are an odd number of values. The median is the average of the two middle values when there are an equal number of values.

The median is the eighth value in the data set because there are 15 values total:

Average = 45.63

Mode:

The most prevalent value in a data set is referred to as the mode. There is no mode in this instance because no value appears more than once.

As a result, there is no Mode and the Mean is roughly 44.99, while the Median is 45.63.

No Mode | 51.63, 54, 45.63, 43, 30, 55.18, 57, 34, 39.09, 38.81, 47.5, 42.9, 50, 29 and 46.

To know more about Median visit:

https://brainly.com/question/300591

#SPJ1

A capsule of paracetamol is made of a cylinder and a hemisphere at each end. The total length of the capsule is 20 mm and the width is 6 mm.
Calculate:

(a) What is the length of the cylinder? (b) Find the volume of the cylinder, to 3 significant figures
(c) Find the volume of the two hemispheres
(d) What is the total volume of the capsule?​

Answers

Answer:

Step-by-step explanation:

To solve this problem, we can use the following formulae for the volume of a cylinder and a hemisphere:

Volume of a cylinder = πr²h

Volume of a hemisphere = 2/3πr³/2

where r is the radius of the cylinder or hemisphere, and h is the height of the cylinder.

(a) To find the length of the cylinder, we can subtract the combined length of the two hemispheres from the total length of the capsule:

Length of cylinder = Total length of capsule - 2 × radius of hemisphere

Length of cylinder = 20 mm - 2 × 3 mm (radius of hemisphere)

Length of cylinder = 14 mm

(b) To find the volume of the cylinder, we need to know the radius and height. Since the width of the capsule is given as 6 mm, and we know that the cylinder runs the full length of the capsule, we can use the following formula to find the radius of the cylinder:

Width = 2 × radius of hemisphere + diameter of cylinder

6 mm = 2 × 3 mm + diameter of cylinder

Diameter of cylinder = 6 mm

Radius of cylinder = 3 mm

Now we can use the formula for the volume of a cylinder to find the volume of the cylinder:

Volume of cylinder = πr²h

Volume of cylinder = π(3 mm)² × 14 mm

Volume of cylinder ≈ 395.8 mm³ (to 3 significant figures)

(c) The radius of each hemisphere is 3 mm (since they have the same radius as the cylinder), so we can use the formula for the volume of a hemisphere to find the volume of each hemisphere:

Volume of hemisphere = 2/3πr³/2

Volume of hemisphere = 2/3π(3 mm)³/2

Volume of hemisphere ≈ 56.55 mm³ (to 3 significant figures)

(d) To find the total volume of the capsule, we can add the volumes of the cylinder and the two hemispheres:

Total volume of capsule = Volume of cylinder + 2 × Volume of hemisphere

Total volume of capsule ≈ 509.9 mm³ (to 3 significant figures)

Therefore, the length of the cylinder is 14 mm, the volume of the cylinder is approximately 395.8 mm³, the volume of each hemisphere is approximately 56.55 mm³, and the total volume of the capsule is approximately 509.9 mm³.

Which decimal is equivalent to
4/15​

Please!

Answers

.266666666666666666666666

Answer:

0.266666

Step-by-step explanation:

1) Use the algorithm method.

       0 . 2 6 6 6 6 6

      ____________________________

15   |  4  .

        3   .  0

      __________

       1  . 0  0

            9  0

       _________

                 1  0  0

                    90

           ___________

                       1  0  0

                           9 0

           ___________

                             1 0 0

                               9  0

                          ______

                                1 0 0

                                    9 0

                                    ___

                                      10

2) therefore, 4/15 ≈0.266666.

0.266666

The line plot above shows the amount of olive oil, in ounces, used in 13 different pizza recipes. Isabella wants to make one pizza from each of the recipes. Will she have enough olive oil to make the pizzas if she buys a 16-ounce bottle of olive oil? Explain or show your reasoning.​

Answers

By adding all the numbers in the line plot, we conclude that she will have enough olive oil.

Will she have enough olive oil for the 13 recipes?

To check this, we just need to add the 13 numbers and see if it is more than 16.

Each point above the line plot means how many times that number will apear in our sum, then the sum will be:

(2*0 + 4*(4/8) + 3*(6/8) + 3*1 + (1 + 2/8))

Now we need to solve that:

(2*0 + 4*(4/8) + 3*(6/8) + 3*1 + (1 + 2/8))

= 2 + 9/4 + 3 + 1 + 1/4

= 2 + 3 + 1 + 9/4 + 1/4

= 6 + 10/4

= 6 + 8/4 + 2/4

= 6 + 2 + 1/2

= 8 + 1/2

That is the amount of ounces of oil that she needs for the 13 recipes, it is less than 16 ounces, so she will have enough oil.

Learn more about sums at:

https://brainly.com/question/17695139

#SPJ1

4) It has been known that 18% of victims of financial fraud know the perpetrator of the fraud
personally. If a sample of 156 people were victims of fraud, what is the mean number of those
victims that know the perpetrator of the fraud personally?

Answers

Answer:

If 18% of victims of financial fraud know the perpetrator of the fraud personally, and a sample of 156 people were victims of fraud, we can find the mean number of those victims that know the perpetrator by multiplying the sample size by the percentage. Therefore, the mean number of victims that know the perpetrator is 156 x 0.18 = 28.08. However, since we cannot have a fraction of a person, we can round the answer to the nearest whole number. Therefore, the mean number of victims that know the perpetrator is 28.

The scale of a map is 1: 1 000 000 . What is the real distance between two points given the following distances between them on the map??
35 mm


PLEASE HELP URGENTLY

Answers

Answer:  35 000 000mm

Step-by-step explanation:

Lauren’s age is half of Joe’s age. Emma is four years old than Joe. The sum of Lauren, Emma, and Joe’ age is 54. How old is Joe?

Answers

Let:
Joe = x
Lauren = y
Emma = a

y= x/2
Therefore, 2y = x......1

a = x+4
But, since x = 2y,
Then, a = 2y+4........2

y + x + a = 54

y + 2y + 2y+4 = 54
5y + 4 = 54
5y = 54 - 4
5y = 50
y = 10

Subs y=10 into x=2y

x=2(10)
x=20

Therefore, Joe is 20 years old.

If Marie were to paint her living room alone, it would take 3 hours. Her sister Fran could do the job in 6 hours. How many hours would it take them working together? Express your answer as a fraction reduced to lowest terms, if needed.

Answers

The time it takes them to paint the living room together is 2 hours. Expressing this as a fraction reduced to lowest terms 2 hours is 2/1.

What is time working together?

Time working together refers to the amount of time that two or more people need to work together to complete a certain task. It is often used in situations where people are working collaboratively or cooperatively to achieve a common goal.

According to question:

Let's denote the time it takes Marie to paint the living room alone by M and the time it takes Fran to paint the living room alone by F.

From the problem, we know that:

M = 3 hours

F = 6 hours

To determine the time it takes them to paint the living room together, we can use the following formula:

1 / (time working together) = 1 / M + 1 / F

Substituting the values we have:

1 / (time working together) = 1 / 3 + 1 / 6

Simplifying the right-hand side of the equation:

1 / (time working together) = 2 / 6 + 1 / 6

1 / (time working together) = 3 / 6

1 / (time working together) = 1 / 2

Therefore, the time it takes them to paint the living room together is 2 hours. Expressing this as a fraction reduced to lowest terms:

2 hours = 2/1

So the answer is: 1 / (time working together) = 1 / 2, or equivalently, the time working together is 2/1.

To know more about working together visit:

https://brainly.com/question/29565362

#SPJ1

Choose all the functions that are NOT linear.
A. y = 5 (2x - 1)
B. y = x (3 - x )
C. y= -2x+4
D. y = 1/3x - 5
E. y =5

Answers

Answer:

B

Step-by-step explanation:

y = x ( 3-x) = 3x - x^2      the ' x^2 ' makes it nonlinear

What is the center and radius of a circle with the following equation

Answers

Answer:

Center: (1, -3); radius: 2

Step-by-step explanation:

(x - h)² + (y - k)² = r²

(x - 1)² + (y + 3)² = 4

(x - 1)² + (y - (-3))² = 2²

Center: (1, -3); radius: 2

what are the x- and y- coordinates of point P on the directed line segment from A to B such that P is 2/3 the length of the line segment from A to B? x= [m/m+n](x2 -x1) +x1 y = [m/m+n](y2 - y1) +y1

Answers

The coordinates of the point P on the directed line segment from A to B such that P is 2/3 the length of the line segment from A to B are (-1, 2).

How to obtain the coordinates of point P?

The coordinates of point P are obtained applying the proportions in the context of the problem.

P is 2/3 the length of the line segment from A to B, hence the equation is given as follows:

P - A = 2/3(B - A)

Then the x-coordinate of P is obtained considering the x-coordinates of A and B as follows:

x - 9 = 2/3(-6 - 9)

x - 9 = -10

x = -1.

The y-coordinate of P is obtained considering the y-coordinates of A and B as follows:

y + 8 = 2/3(7 + 8)

y + 8 = 10

y = 2.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

75% of the people in a small city have car insurance with the company Geico. This unusually high amount is due to the amount of advertising withing the city and social media ads. If 10 people are selected at random from this city, what is the probability that at least 8 of them have car insurance with Geico?

Answers

Answer:

Step-by-step explanation:

This is a binomial distribution problem, where each person either has car insurance with Geico or doesn't have.

Let's denote the probability of a person having car insurance with Geico as p = 0.75, and the probability of not having car insurance with Geico as q = 0.25.

The probability of getting exactly k people out of n people who have car insurance with Geico is given by the binomial distribution formula:

P(k) = (n choose k) * p^k * q^(n-k)

where (n choose k) is the number of ways to choose k items out of n items, which is calculated by the formula:

(n choose k) = n! / (k! * (n-k)!)

where n! denotes the factorial of n.

We need to find the probability of getting at least 8 people out of 10 who have car insurance with Geico, which is the same as the probability of getting 8, 9, or 10 people who have car insurance with Geico. So, we can calculate this probability by adding the probabilities of these three cases:

P(at least 8) = P(8) + P(9) + P(10)

P(8) = (10 choose 8) * 0.75^8 * 0.25^2 = 0.002

P(9) = (10 choose 9) * 0.75^9 * 0.25^1 = 0.054

P(10) = (10 choose 10) * 0.75^10 * 0.25^0 = 0.056

Therefore, the probability of at least 8 people out of 10 having car insurance with Geico is:

P(at least 8) = P(8) + P(9) + P(10) = 0.002 + 0.054 + 0.056 = 0.112

So, the probability that at least 8 people out of 10 have car insurance with Geico is 0.112 or approximately 11.2%.

A box of granola bars measures 22 centimeters long by 5 centimeters wide by 15 centimeters high. A box of fruit bars measures 24 centimeters long by 3 centimeters wide by 26 centimeters high. Which box has the greater​ volume? How much​ greater?
Question content area bottom
Part 1
Select the correct choice below and fill in the answer box to complete your choice.
​(Type a whole​ number.)
A.
The box of granola bars has a greater volume. It is

210 cubic centimeters greater than the fruit bars box.
B.
The box of fruit bars has a greater volume. It is

enter your response here cubic

Answers

Answer: The box of fruit bars. It is 76 cm greater.

Step-by-step explanation:

Natalie invests $2,000 into a savings account
which earns 11% per year. In 20 years, how
much will Natalie's investment be worth if
interest is compounded monthly? Round to the
nearest dollar.

Answers

Answer:

We can use the formula for compound interest to find the future value (FV) of Natalie's investment:

FV = P * (1 + r/n)^(n*t)

Where:

P is the principal amount (the initial investment), which is $2,000 in this case

r is the annual interest rate as a decimal, which is 11% or 0.11

n is the number of times the interest is compounded per year, which is 12 since interest is compounded monthly

t is the number of years, which is 20

Substituting the values into the formula, we get:

FV =

2

,

000

(

1

+

0.11

/

12

)

(

12

20

)

=

2,000 * (1.00917)^240

FV = $18,255.74

Therefore, after 20 years of compounded monthly interest at a rate of 11%, Natalie's investment of 2,000 will be worth approximately 18,256.

Answer:

$17,870

Step-by-step explanation:

You must use the formula for compound interest.

A = P(1 + r/n)^nt

I suggest you look it up at some point so that you can do these more easily in the future!

The accompanying table shows the results from a test for a certain disease. Find the probability of selecting a subject with a negative test​ result, given that the subject has the disease. What would be an unfavorable consequence of this​ error?
The individual actually had the disease

Yes
No
Positive
320
9
Negative
12
1160
Question content area bottom
Part 1
The probability is enter your response here.
​(Round to three decimal places as​ needed.)

Answers

The probability to three decimal places is 0.036 and the unfavorable consequence of this result will be that the patients who tested negative will not be treated and as such will spread the disease.

How to solve the probability

To find the probability of an event, we often use divide the total number of possible results by the total results. In this case, we are told to find the total number of persons who tested negative for the disease by the total number of positive cases. 320 + 12 persons tested positive for the disease. The sum is 332.

The total number of negative cases recorded from this sum is 12. Thus, the probability will be 12/332 = 0.036.  An unfavorable consequence of this​ error will be that the subjects who tested negative will not be treated and can thus spread the disease.

Learn more about probability here:

https://brainly.com/question/24756209

#SPJ1

please help me fast please

Answers

Step-by-step explanation:

Substituting the given values, we get:

a + b/c = 24 + 36/4

= 24 + 9

= 33

Therefore, a + b/c = 33 when a = 24, b =36, and c = 4.

3. On a state math exam the scores were normally distributed with a mean of 72 and a standard deviation of 8. Use bell curve with standard deviations to help you complete the problem.


b. What percentage of students will score less than 72?


C. What percentage of students will score above 80?

Answers

The mean is 72, which is the center of the distribution, 50% of the students will score less than 72. The area to the right of z = 1, so approximately 15.87% of students will score above 80.

a) Since the mean is 72, and we want to know the percentage of students who scored less than 72, we need to find the area under the normal distribution curve to the left of the z-score that corresponds to 72. Since the standard deviation is 8, the z-score is:

z = (72 - 72) / 8 = 0

Using a standard normal distribution table or a calculator, we can find that the area to the left of z = 0 is 0.5. Therefore, 50% of students scored less than 72.

b) To find the percentage of students who scored above 80, we need to find the area under the normal distribution curve to the right of the z-score that corresponds to 80. The z-score is:

z = (80 - 72) / 8 = 1

Using a standard normal distribution table or a calculator, we can find that the area to the right of z = 1 is 0.1587. Therefore, approximately 15.87% of students scored above 80.

To learn more about normal distribution please click on below link        

https://brainly.com/question/31197941

#SPJ1

I need help on this. Can you help me?

Answers

The expressions that are polynomials include the following: E. 13x²² + x²³ + 7x¹⁹ + 12x²

What is a polynomial function?

In Mathematics, a polynomial function can be defined as a mathematical expression which comprises intermediates (variables), constants, and whole number exponents with different numerical value.

Generally speaking, all of the variables with respect to a polynomial function would always have positive (non-negative) integer exponents. Additionally, a polynomial function does not have variables or numerical value under a radical, in its denominator, or as its argument (non-polynomial function).

In this context, we can reasonably infer and logically deduce that all of the given expression except 13x²² + x²³ + 7x¹⁹ + 12x² does not a polynomial function.

In conclusion, the polynomial function 13x²² + x²³ + 7x¹⁹ + 12x² has only positive (non-negative) integer exponents.

Read more on polynomial function here: brainly.com/question/14625910

#SPJ1

The two top concert tours in 2016 were concert A and concert B. Based on average ticket prices, it cost a total of $1707 to purchase six tickets for concert A and six tickets for concert B. Three tickets for concert B cost a total of $687. How much did an average ticket cost for each tour?

Answers

The average ticket cost for each concert is given as follows:

Concert A: $188.83.Concert B: $95.67.

How to obtain the ticket costs?

The ticket costs are obtained by a system of equations, for which the variables are given as follows:

Variable a: cost for Concert A.Variable b: cost for Concert B.

It cost a total of $1707 to purchase six tickets for concert A and six tickets for concert B, hence:

6a + 6b = 1707

a + b = 284.5.

Three tickets for concert B cost a total of $687, hence the cost for concert B is of:

3b = 687

b = 287/3

b = $95.67.

Replacing into the first equation, the cost for concert A is given as follows;

a = 284.5 - 95.67

a = $188.83.

More can be learned about a system of equations at https://brainly.com/question/30374328

#SPJ1

Find what percentage of $6500 is $4250

Answers

Step-by-step explanation:

To find the percentage that $4250 represents of $6500, we can use the following formula:

percentage = (part / whole) x 100%

where "part" is $4250 and "whole" is $6500.

Substituting these values into the formula, we get:

percentage = (4250 / 6500) x 100%

percentage = 0.6538 x 100%

percentage = 65.38%

Therefore, $4250 represents 65.38% of $6500.

Answer: It is approximately 65%

Step-by-step explanation: Divide $4,250 by $6,500 and your answer without rounding is 65.3846%

Jeremy sees a jacket that he wants that is on sale for $44.95. The original price was
$68.49. Estimate how much Jeremy can save by buying the jacket on sale. (1pt)

Answers

Answer:

$25

Step-by-step explanation:

You round 44.95 to 45 and 68.49 to 70. 70 - 45 = 25.

Which function is best represented by the graph?

Answers

Answer:This would be option letter C

Step-by-step explanation:The diagram is a gram of external geofram so the position Is fFX(4) ^N

Answer:

D

Step-by-step explanation:

f(x)= -x^2+4

Draw graph of -x^2 and shift it 4 units above

CAN SOMEONE HELP WITH THIS QUESTION?

Answers

Answer:

a. Since the half-life of the isotope is 8 hours, we know that the decay rate is exponential and we can use the formula:

A(t) = A0 * (1/2)^(t/8)

where A0 is the initial amount of the substance, t is the time elapsed, and A(t) is the amount of substance remaining after t hours.

Substituting the given values, we get:

A(t) = 7 * (1/2)^(t/8)

b. To find the rate at which the substance is decaying, we need to take the derivative of A(t) with respect to t:

A'(t) = -7/8 * (1/2)^(t/8) * ln(1/2)

Simplifying, we get:

A'(t) = -ln(2) * (7/8) * (1/2)^(t/8)

c. To find the rate of decay at 14 hours, we can plug in t=14 into the equation we found in part b:

A'(14) = -ln(2) * (7/8) * (1/2)^(14/8) ≈ -0.4346 grams per hour (rounded to four decimal places)

Whats the Surface area?

Answers

Answer:

118.4cm2

Step-by-step explanation:

Surface area of square :5×5=25

Surface area for one triangle:

square root of 9²+2.5²=9.340770846

Area of triangle 0.5×5×9.340770846=23.35192712

As there is 4 triangle do 23.35192712×4=93.40770846

After

25+93.40770846=118.4077085

1dp= 118.4cm²

K
Add the fractions. Simplify if possible.
2
9x
+
10
9x

Answers

The sum of the given fractions is (2x + 10)/x.

What is fraction ?

A fraction is a way of representing a part of a whole or a ratio between two quantities. It is written in the form of a numerator and a denominator separated by a horizontal line. The numerator represents the number of equal parts under consideration, while the denominator represents the total number of equal parts that make up the whole. For example, the fraction 3/4 represents three equal parts out of a total of four equal parts. Fractions can be added, subtracted, multiplied, and divided to perform various mathematical operations.

According to the question:
The given fractions can be added if they have a common denominator. In this case, the common denominator is 9x.

So, we need to write the fractions with 9x as the denominator:

2/1 * (9x/9x) = 18x/9x

10/1 * (9/9x) = 90/9x

Now, we can add these two fractions:

18x/9x + 90/9x = (18x + 90)/9x = 9(2x + 10)/9x = 2x + 10/ x

Therefore, the sum of the given fractions is (2x + 10)/x.

Q: Find K by Adding the fractions and simplify if possible k=(2*(9x))+(10*(9x))

To know more about fraction visit:
https://brainly.com/question/29270278
#SPJ1

Extended sheet of paper in Europe is 21.0 CM wide and 29.7 cm long which has a greater area the standard sheet of paper with using stage or the standard sheet of paper in Europe explain and show your reasoning

Answers

the extended sheet  in Europe has a greater area than the standard letter size paper. The difference in area between the two is about 20 square cm, it can make a difference in certain applications.

What is area of rectangle ?

area of rectangle = length * breath  

The standard sheet of paper commonly used in the United States and Canada is known as "Letter" size paper, which measures 8.5 inches by 11 inches (21.59 cm x 27.94 cm). To compare the area of this paper to the extended sheet of paper used in Europe, we need to convert the dimensions to centimeters.

So, the area of the standard letter size paper in centimeters would be:

21.59 cm x 27.94 cm = 603.78 square cm

On the other hand, the extended sheet of paper in Europe measures 21.0 cm by 29.7 cm. Therefore, its area would be:

21.0 cm x 29.7 cm = 623.70 square cm

the extended sheet of paper in Europe has a greater area than the standard letter size paper used in the United States and Canada. The difference in area between the two is about 20 square cm, it can make a difference in certain applications.

know more about area visit:

https://brainly.com/question/27683633

#SPJ9

Write an equation for the word problem below.

"The YMCA summer camp charges registration fee of $40 and then charges $100 per week of camp."

Y = [blank] x + [blank]

Y = MX + B

Answers

Answer:

The equation is in slope-intercept form, Y = MX + B, where M is the slope and B is the y-intercept. In this case, the slope is 100 and the y-intercept is 40.

I hope that helps!

Step-by-step explanation:

The equation for the word problem is Y = 100x + 40.

Where Y is the total cost of the summer camp, x is the number of weeks of camp, 100 is the cost per week of camp, and 40 is the registration fee.

Other Questions
as exercise intensity increases, there is a progressive increase in the reliance of carbohydrate metabolism in the exercising skeletal muscles. this fact has been described as the steps in the accounting cycle rearrange the following steps in the accounting cycle in proper sequence: a. transactions are analyzed and recorded in the journal. b. an unadjusted trial balance is prepared. Based on this excerpt, how were these nonviolent actions effective? PLEASE ANSWER IM IN A HURRYThe theme of the march is the people shall govern. We intend tomarch to Parliament in arm-linked rows of eight. . . . If the police orderus to disperse, we will sit down to kneel in the road. Kneel in the road?Nothing on earth will persuade me to kneel on the road in front of aserious, mean-looking police force. My stomach contracts with fear anddoubt. . . .The marchers brace themselves. Somewhere a critical button is pushedand a sharp jet of water bursts forth, changing in mid-stream to luridpurple.Some are hit head on, full in the face. Some are knocked off theirknees. . . . Then it stops. A lone protester has climbed on top of the truckand is diverting the nozzle away from the people. . . . The crowd staresfor a moment in disbelief then goes wild, cheering, shouting, andleaping in the air with delight for this brave young man. . . .By Monday morning an efficient graffiti artist has said it all for all of us.The purple shall govern. I can believe it. what type of marginalized people have difficulty making decisions and feel extreme pressure from both cultural groups they are a part of? a nurse is educating a postoperative client on essential nutrition for healing. what statement by the client would indicate a need for more information? (ANSWER THE FULL THING PLS OR I WILL REPORT, if you do answer it all, I will mark brainliest) In a model experiment baking soda (sodium bicarbonate) is combined with white vinegar (5% acetic acid) under the following circumstances:Sodium bicarbonate + acetic acid carbon dioxide + water + sodium acetateNaHCO3 (s) + CH3COOH (l) CO2 (g) + H2O (l) + NaCH3COO (aq)1. What are the reactants in this reaction?2. What forms are the reactants each in?3. What are the products in this reaction?4. What forms are each product in this reaction found in?5. Is this equation balanced? Why or why not?6. If I told you this reaction is endothermic and you touched the bottom of the catch tray after the reaction runs would it feel hot or cold? Why?7. If I increase the amounts of both reactants would you expect the reaction to speed up or slow down? Why?8. If I increase the amount of one reactant only, what would you expect to happen? Why?9. How do I know that carbon dioxide is being produced? What is my direct observation?10. If I went to the store and purchased apple cider vinegar which has a known concentration of 10% acetic acid and used it in place of white vinegar, what variable am I altering and what result would you expect?11. If I tried this experiment with baking soda that had been open and in my refrigerator for two months and was still cold when I started the experiment, what results might we expect? Why?12. If I was setting up my experiment and I carefully allow both the baking soda and vinegar to reach room temperature before I started my experiment - what part of an experimental design would I be affecting? Select one.a. Independent variableb. Dependent variablec. Constantd. Control13. If I warmed my vinegar to a temperature of 85 from room temperature of 72, what result would you expect and why? Select one.a. The reaction would proceed faster as you could see from more rapid foaming because there are more particle collisions between warmer reactants.b. The reaction would proceed faster as you could see from more rapid foaming because there are fewer particle collisions between warmer reactants.c. The reaction would proceed more slowly because there are more particle collisions between warmer reactants.d. The reaction would not proceed because the activation energy wouldnt be reached.14. If I used laboratory grade acetic acid (100% concentration) describe how the following variables would change:a. Concentration of reactants (independent variable) -b. Formation of products (dependent variable) -c. Rate of reaction (slope of the line) -15. If this sample unlabelled graph were used from this experiment - how could we label each portion of the graph? What type of relationship do we see? Deaf leaders found it obvious that oralism fed into the eugenics movement.a. Trueb. False 5. What conclusions can you draw about temperature and saturation of a solute? the volume of a container expands when it is heated from 159 k to 456 k. what was the oriignal volume if the final volume is 15.5 l? You usually buy the same small bottle of shampoo.There is a larger, 6.7-ounce bottle that says it gives you 25% more free.What is the size in ounces of the original smaller bottle of shampoo?Round your answer to the nearest tenth. Fill in the boxes to add the expressions.(10x-4) + (7+ x) = (10x +_____)+(-4+ _______)=__X +(__ ) HELP ASAP What accusation does Joe make about L. V. Craig?A.That he shot a man in his barB.That he drives recklesslyC.That he avoids going to churchD.That he is a con artist the nurse is teaching a client about healthy food choices and setting reasonable goals for weight loss. which recommendation(s) will the nurse provide? select all that apply. Find the density of seawater at a depth whereI the pressure atmat thethesurface is 1050 kg/m. Seawater has a bulkmodulus of 2.3 x 10 N/m. Bulk modulus isdefined to beB =Po APAp Order the functions from the narrowest graph to the widest graph. f (x) 1/3 x^2, g (x) = 4x^2, h (x) = 2x^2 a nurse is performing a physical examination of a child with a suspected fracture. which assessment technique would the nurse assume would not be used? vicki tells her new acquaintance marcus that he is the funniest person she knows. although she does not believe that he is the funniest person she knows, she likes marcus and is being nice. what type of deception is she likely using? There are six Mountain Dews, four Pepsis, five Sierra Mists, nine Orange Crushes, seven NuGrapes, three Mug root beers, and six Canada Dry ginger ales in the fridge. Find the probability of selecting a NuGrape or a ginger ale. Show work a rise in a woman's basal body temperature signals that fertilization has occurred. that ovulation has occurred. the beginning of the menstrual cycle. the end of the current menstrual period. Which experience is most likely to shape an author's perspective on healthcare?OA. Graduating from high schoolB. Getting sick and spending time in the hospitalOC. Living near a doctor's officeD. Exercising every morning before school