The bar graph shows the percentage of college freshmen in a certain country with an average grade of Ain high school.The data displayed by the bar graph can be described by the mathematical model p =4x- + 25 where xis the number of years after 1980 and p is the percentage of college freshmen who had an average

The function is power function. The power of the function is -3, the constant of variation is k, and the independent variable is d.

In this question, we have been given a function y = k/d³

We need determine whether function is power function or not.

We know that, a power function is of the form y = x ^n where n is any real number.

We can write given function as,

y = k × d^(-3)

Given that, k represents a constant.

Here, the value of y depends on the value of d.

So, d is an independent variable and y is dependent variable.

also, the power of given function is -3

Therefore, the function is power function. The power of the function is -3, the constant of variation is k, and the independent variable is d.

Learn more about the function here;

https://brainly.com/question/28193995

#SPJ1

The equation to find the cost of the shirt is s = 5h and the cost is 30.

An mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario

Cost of the hat = 6

The shirt costs 5 times as much as the hat. Therefore, this will be:

s = 5h

where s = cost of shirt

h = cost of hat

The cost will be:

s = 5h

s = 5 × 6

s = 30.

The cost is 30.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

Answer:

11

Step-by-step explanation:

You will just add 6+5=11

Answer:

5.5 inches

Step-by-step explanation: if you divide it, u will get 5.5 inches

1) There exists a 3.82% probability that at least one right-handed student in this class is forced to utilize a seat designed for a left-hander.

2) There exists a 68.35% probability that at least one left-handed student in this class is forced to use a seat designed for a right-hander.

The binomial probability exists the probability of exactly x successes on n repeated trials, and X can only contain two outcomes.

[tex]$P(X=x)=C_{n, x} \cdot \pi^x .(1-\pi)^{n-x}$$[/tex]

In which [tex]$C_{n, x}$[/tex] exists the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]$C_{n, x}=\frac{n !}{x !(n-x) !}[/tex]

And π exists the probability of X happening.

Given: 13 % of the students are left-handed and 100 - 13 = 87 % are right handed.

There are 220 sets. Of them, 25 exists designed for left handers and 220-25 = 195 for right handers.

There are 215 students, so n = 215.

In this case, a success is a student being right-handed. So [tex]$\pi=0.87$[/tex].

There are 195 seats for right handed students. If there are 196 or more right handed students, they will have to use a seat designed for a left hander. We have to find [tex]$P(X \geq 196)$[/tex]. Utilizing a binomial probability calculator, we find that [tex]$P(X \geq 196)=0.0382$[/tex]

So, there is a 3.82 % probability that at least one right-handed student in this class exists forced to utilize a seat designed for a left-hander.

There are 25 seats for left-handed students. If there exists 26 , or more, at least one exists going to be forced to utilize a seat designed for a right-hander.

In this case, a success is a student being left-handed. So [tex]$\pi=0.13$[/tex].

We have to find [tex]$P(X \geq 26)$[/tex].

Using a binomial probability calculator, we have that [tex]$P(X \geq 26)=0.6835$[/tex]

There exists a 68.35 % probability that at least one left-handed student in this class is forced to utilize a seat designed for a right-hander.

To learn more about Binomial probability distribution refer to:

https://brainly.com/question/9325204

#SPJ4

Answer: 260 is greater than 53.46 times X +.13×350

Step-by-step explanation: You know you have to stay under $260 because that’s all she has so that’s where you get to 260 is greater than

And she knows she’s going to go about 350 miles so 260 is greater than $.13 times 350+5346 times you don’t know how many days so that your variable X

The two equations that are true when x = -2 and x = 2 are x^2 - 4 = 0 and 4x^2 = 16.

We have given x = 2 and x = -2

Substitute the values in the given equations

Equation 1

x^2 - 4 = 0

Substitute x = 2 in LHS, we get

2^2-4 = 4 - 4 = 0 = RHS

Substitute x = -2 in LHS, we get

(-2)^2-4 = 4 - 4 = 0 = RHS

Equation 2

x^2 = -4

Substitute x = 2 in LHS, we get

2^2 = 4 ≠ RHS

Substitute x = -2 in LHS, we get

(-2)^2 = 4 ≠ RHS

Equation 3

3x^2 + 12 = 0

Substitute x = 2 in LHS, we get

3(2)^2 + 12 = 12 + 12 = 24 ≠ RHS

Substitute x = -2 in LHS, we get

3(-2)^2 + 12 = 12 + 12 = 24 ≠ RHS

Equation 4

4x^2 = 16

Substitute x = 2 in LHS, we get

4(2)^2 = 4(4) = 16 = RHS

Substitute x = -2 in LHS, we get

4(-2)^2 = 4(4) = 16 = RHS

Equation 5

2(x-2)2 = 0

Substitute x = 2 in LHS, we get

2(2-2)2 = 2(0)(2) = 0 = RHS

Substitute x = -2 in LHS, we get

2(-2-2)2 = 2(-4)(2) = 16

Hence, we find that Equation 1 and Equation 2 are true for x = 2 and x = -2

To learn more about equation here

https://brainly.com/question/15707224

#SPJ1

The first part of the journey took 4/3 hours (80 minutes)

The last part of the journey too 2/3 hours (40 minutes)

Here, we want to set-up equations to solve

We start by filling the table

Line 1

The rate for the first part of the race is 90 mph

The time for the first part of the race is F

Line 2

The time for the second part of the race is L

The distance (product of the rate and time) is 60L

So, adding these up give us the following equations to be added and solved below;

So, we proceed to solve these equations simultaneously

To get f, we simply substitute l into the first part of the equations;

Since an hour is 60 minutes;

We can see the next function:

And we need to translate this function 5 units down, which results in the function g(x).

To find the rule for g(x), we can follow the next steps:

1. We know that the general rule for a function translated k units down is given by:

2. Then if we translate the original function by 5 units down, we will have that:

3. Therefore, g(x) will be:

Hence, in summary, we have that the rule for g(x) is g(x) = 3x + 4 (option A).

Answer:

Step-by-step explanation:

40.833 recurring and 9.166 recurring

or 40 5/6 and 9 1/6

Call the small number 's'

Call the big number 'b'

The word problem says:

B+S=50 and also that 5(S-1)=B which multiplied out is 5S-5=B

So, 5S-5=B=50-S

Therefore 6S=55 and the rest history!

Answer:

Step-by-step explanation:

Answer:

Choice B.

Explanation:

The side length is the distance between the vertices of the triangle given.

A line's equation written using a single point on the line and the line's slope is referred to as the point-slope form. The slope is the rise over run, or the ratio of the change in the y values over the change in the x values, and the point form is denoted as (x,y).

y= 3 / 10x + 8

y=mx+b, where

y=mx+b

y=3/ 10x+8

m=3/10  b=8

Slope: 3/ 10, and the y-intercept is at (0, 8).

x           y

0         8

10        11.

To Learn more about line's equation refer to:

https://brainly.com/question/18831322

#SPJ1

Answer:

7 units

Step-by-step explanation:

Hello!

The radius of a circle is the distance from the center of the circle to it's outer edge.

The radius of this circle is 7 units, as the distance from the center to the outer edge is 7.

Answer:

7 units

Step-by-step explanation:

count from the center to the circle to one of the sides which is 7 units

Answer 3(6 + x) = -18 is 3

-18 = 3(6 + x)

-18 = 18 + 3x

3x = 18 - 18

x = 0 + 3

x = 3

____________________

Class: High School

Lesson: Equation

[tex]\boxed{ \colorbox{lightblue}{ \sf{ \color{blue}{ Answer By\:Cyberpresents}}}}[/tex]

We will solve as follows:

*First: We find out the value of the product:

Now, we find out from the other expressions:

*First:

[No]

*Second:

[Yes]

*Third:

[Yes]

*Fourth:

[No]

*Fifth:

[Yes]

In linear equation, $9.25, you can bowl a maximum of 3 games.  

What in mathematics is a linear equation?

If  it costs $2.50 to rent bowling shows and each game costs $2.25, then the total cost of playing x bowling games can be represented as

                         C = 2.50 + 2.50x

If you have a total of $9.25, then

                        9.25 = 2.50 + 2.25x

Subtracting 2.50 from both sides of the equation, we get

               9.25 - 2.50 = 2.50 + 2.25x - 2.25

                     6.75 = 2.25x

Dividing both sides of the equation by 2.25, we get

                   6.75/2.25 = 2.25x/2.25

                          x =  3

Therefore, with $9.25, you can bowl a maximum of 3 games.      

Learn more about linear equation

brainly.com/question/11897796

#SPJ13

SOLUTION:

Questions involving arrangement is permutation, while questions involving selection is combination.

Since the given question involves arrangement, so the correct option is PERMUTATION.

The number of possible arrangements for the top five finishers from the 13 horses is 13 permutation 5.

Answer:

128

Step-by-step explanation:

solve for inside parentheses:

-22x21÷4-12

do multiplication and division:

-115.5-12

subtract:

-127.5

Hope this helps

Step-by-step explanation:

Given the coordinates of two points on a line, use the slope formula to find the slope of the line. The slope formula is m=(y2-y1)/(x2-x1) or the change in y value versus the change in x value. The coordinates of the first point represent x1 and y1. The coordinates of the second point are x2, y2.

Answer:

To find the slope, use the formula Rise over Run.

1.) Insert the Y coordinates into their correct space.

2.) Plug in the X coordinates.

3.) Subtract your Y coordinates.

4.) Subtract your X coordinates.

5.) Reduce if needed.

6.) You're done!

We will see that the linear equation that passes through the two given points is:

y = 4x + 28

So the y-intercept is y = 28.

First, we need to find the linear equation that passes through the two given points. Remember that for a line that passes through two points (x₁, y₁) and (x₂, y₂), the slope is:

m = (y₂ - y₁)/(x₂ - x₁)

Here our line passes through (-8,-5) and (10, 67), then the slope is:

m = (67 + 5)/(10 + 8) = 4

So we can write:

y = 4*x + b

To find the value of b we can use the point (-8,-5), replacing these values we get:

-5 = 4*-8 + b

-4 + 4*8 = b

28 = b

So the y-intercept is 28.

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

Only $28.25 are available. After Lena uses the card for 15 minutes of calls, there are still 28.25 credits left.

Given that,

Lena spent $30.50 on a prepaid phone card. With this card, calls cost 15 cents each minute. the amount of credit, c (in dollars), remaining on the card following x minutes of calls

It can be written as,

C(x) = 30.50 - 0.15x

C(x) = 30.50-(0.15 x 15)

after Lena uses it for 15 minutes,

C(x) = 30.50 – 2.25 = $28.25 in remaining credits.

Learn more about credits click here :

https://brainly.com/question/15135221

#SPJ4

Graph C has a function

Since the line L intersects the graph at the point, A (2, -5)

To find the slope of the line we will differentiate the f(x) and substitute x by 2

The slope of the line is 8, substitute it in the form of the linear equation

To find b substitute x by 2 and y by -5

Subtract 16 from both sides to find b

Then the equation of the line is

The percentage of the tax is 11.26%

Percentage:

Percentage is defined as the number or ratio that can be expressed as a fraction of 100. If you want to calculate percent of a number, divide the number by the whole and multiply by 100.

Given,

Two people dined at the la fiesta grill where the food cost was $36.54 to that a tax of 4.12 was added .

Here we need to find the tax in percentage.

Let us consider x be the percentage of tax has been added to the food.

The the given details, we have identified the following details,

Amount of the food = $36.54

Tax amount = $4.12

So, it can be written as,

x% of $36.54 = $4.12

Here we need the percentage value so we have to move the other to the right side, then we get,

x% = $4.12/36.54

x% = 0.1126

To convert it into percentage, then we have to multiply it by 100, then we get,

x = 11.26

Therefore, the tax percentage is 11.26%.

To know more about Percentage here.

https://brainly.com/question/28269290

#SPJ1

Which graph shows the circle whose equation is (x−1)2+(y+3)2=16?

circle formula:

[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]

Given:

[tex](x-1)^{2} +(y+3)^{2} =4^{2}[/tex]

put into circle formal format:

[tex](x-h)^{2} +(y-k)^{2} =r^{2}\\(x-1)^{2} +(y-(-3))^{2} =4^{2}[/tex]

The center of the circle is at point (h,k)

[tex](x-1)^{2} +(y+3)^{2} =4^{2}[/tex]

center should be at:  (1,-3)

Answer:

lower row, left grid.

Answer:

Lower left, bottm, circle

Step-by-step explanation:

See attached graph

Slope - 2/3

y - intercept : (0,3)

               x | y

               0 | 3

               3 | 1

In general, the linear regression formula is shown below

The percentage of Rie's body that is Rie's legs is: 60%.

A percentage can be defined as an amount in each hundred or, simply put, a proportion of a quantity in relation of a whole.

To find the percentage of a quantity in a whole, divide the quantity by the whole quantity, then multiply the quotient by 100.

The "whole" in this problem is Rie's height, which is: 165 cm

The "quantity" in the context of this question is the length of Rie's leg, which is: 99 cm.

Therefore, to find the percentage of Rie's legs in Rie's body, we have the following:

99/165 × 100

= 0.6 × 100

= 60%.

Therefore, Rie's leg is 60% of Rie's body.

Learn more about percentage on:

https://brainly.com/question/24877689

#SPJ1