Please give the answer.

a) If the tank is full, using mathematical operations based on the 2004 Toyota Corolla, you will run 422.4 miles before running out of gas, according to Toyota's advert.

b) Using AAA's estimate, one could drive 381.4 miles before running out of gas.

c) Based on the AAA estimate, on a single tank of gas, you can predict that you will get 40.9 miles less.

The mathematical operations include subtraction, addition, division, and multiplication.

For our purpose, we have used the mathematical operations of multiplication and subtraction to determine the above values.

Claimed mileage per gallon, according to the Toyota advert = 32 miles

The number of gallons of gas in Toyota Corolla's full tank = 13.2 gallons.

AA fuel efficiency on 2004 Toyota Corolla = 28.9 mpg

a) Miles to run before running out of gas (Toyota advert) = 422.4 (32 x 13.2) miles

b) Miles to run before running out of gas (AAA rating) = 381.48 (28.9 x 13.2) miles

c) The difference in miles between (a) and (b) above = 40.92 (422.4 - 381.48) miles

Learn more about mathematical operations at https://brainly.com/question/20628271

#SPJ1

Answer:

Step-by-step explanation:

The reasonable price of the car after 4 years will be $8618.

What is regression analysis?

Regression analysis is a group of statistical procedures used in statistical modelling to determine the associations between a dependent variable and one or more independent variables.

Given that a dealership tracks the correlation between the age of its used cars and asking price for a car. The regression line is y = 12,338 – 930x, where x is the age of the car, in years.

The price of the car after 4 years will be calculated as follows:-

y = 12338 - 930x

y = 12338 - ( 930 x 4 )

y = 12338 - 3720

y = $8618

Therefore, the reasonable price of the car after 4 years will be $8618.

Answer:

B - For every one year in age, the price is predicted to decrease by $930

C- If the Car is new, the car is predicted to cost $12,338.

Step-by-step explanation:

correct on edge 2022

a. 11 year growth factor = 1 + (26/100) = 1.26

   1-year growth factor = (1.26)^1/11 = 1.0210

   Therefore,

    1-year growth percent = 1.0210 - 1 = 0.0210 %

     Answer: 2.10

b. 13-year decay factor = 1 - (39/100) = 0.61

   1-year decay factor = (0.61)1/13 = 0.9631

    Therefore,

    13-year decay factor = 1 - 0.9631 = 0.03686 = 3.68%

     Answer: 3.68

c. 5-year growth factor = 3

   1-year growth factor = (3) ^1/5 = 1.245

   Therefore,

   1-year growth factor = 1.2457 - 1 = 0.2457 = 2.45%

   Answer:2.45

   To learn more about growth factor click here:

    brainly.com/question/11161311

    #SPJ4

Answer:

The answer is

[tex] {(5y - 9)}^{2} [/tex]

Step-by-step explanation:

factor

[tex] {(25y }^{2} - 90y + 81)[/tex]

get the GCF of 25,-90,81=1

get the square root of leading terms

[tex] \sqrt{25 {y }^{2} } = 5y \: and \: \sqrt{81} = 9[/tex]

the final answer is

[tex] {(5y -9) }^{2} [/tex]

The answer is A x^2-3x-1+1/x-1

The expression is x²-3x-1+ 1/ (x-1).

The mathematical procedure for splitting big numbers into several smaller groups or sections is known as long division. The dividend is the number we split into smaller groups, while the divisor is the number by which we divide. A difficulty can be solved by breaking it down into manageable parts.

The mathematical procedure for splitting big numbers into smaller groups or pieces is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions. When solving an issue involving long division, the dividend—a high number—is divided by the divisor, a smaller number. The extra amount that cannot be divided yields the quotient, which is known as the residual.

Given:

x cubed minus 4 times x squared plus 2 times x plus 2 in the numerator and x minus 1 in the denominator=x³ - 4x² + 2x + 2 / x-1

Now, performing the long division method we have

= [tex]x^2+\frac{-3x^2+2x+2}{x-1}[/tex]

= [tex]= [x^2-3x+\frac{-x+2}{x-1}[/tex]

= [tex]= (x^2-3x-1)+ 1/ (x-1)[/tex]

Hence, the simplified division is x²-3x-1+ 1/ (x-1)

Learn more about long division here:

https://brainly.com/question/28824872

#SPJ1

Answer:

yw:) have a good day :)

Answer:

25, 125, 3125, 78125, 1953125

Answer:

-1 ; 1/5 ; -1/25

Step-by-step explanation:

125 : (-5) = -25

-25 : (-5) = 5

5 : (-5) = -1

-1 : (-5) = 1/5

1/5 : (-5) = -1/25

Answer: bean

Step-by-step explanation:

bean chd china bean poopies beans

In case whereby You launch a toy rocket from a height of 5 feet with the  height h, in feet of the rocket t seconds after taking off is given by the formula h = -3t2 + 14t + 5, then the value of t will be 4.67 secs.

The giving equation is h = -3t2 + 14t + 5

where the height h is been given as 5 feet, then we can substitute the value of the height they the expression can be simplified as

5 =  -3t^2 + 14t + 5

Then this equation can be re arranged as :

-3t^2 + 14t + 5 - 5=0

This can as well be expressed as

-3t^2 + 14t = 0

t(-3t + 14)= 0

Then t= 0 and -3t + 14=0

t=14/3 = 4.67 secs

Learn more about rocket from

https://brainly.com/question/18882907

#SPJ1

Answer:

Answer down below!

Step-by-step explanation:

Lets start off by finding a point we can start off at!

Since (2,0) lands perfectly on the number line, we can use that one!

From there, use the rise/run method to find your slope

We go up 2 and over -2

Thus our fraction is -2/2 BUT WE AREN'T DONE!

We can simplify this to be -1/1 or -1

Thus, our slope is -1

It's negative one, starting from the y intercept you're going down one right one and so on.

Jade give away 3/4 fraction of the cake.

Question 6 asks us to determine the period of the function.

Looking at the height of the blade tip, it varies in a sinusoidal manner.

Thus, the period is the distance between successive same heights on the table.

The function takes 360 degrees to return to its same value. At angle zero, the height was 150ft and it was still 150 ft at 360 degrees.

Thus the period is 360 degrees.

If Mark has a container in the shape of a cube and he uses 64 cubes with sides length of 1 inch to completely fill the container, then the edge length of the container is 4 inches

The shape of  the container is cube

He uses 64 cubes with side length of 1 inch to completely fill the container

The volume of cube with side length of 1 inches = [tex]a^{3}[/tex]

Where a is the side length of the cube

= [tex]1^{3}[/tex]

= 1 cubic inches

The volume of 64 cubes = 64×1

= 64 cubic inches

The volume of the container in cub shape = The volume of the 64 cubes with side length of 1 inches

[tex]a^{3}[/tex] = 64

a = 4 inches

Hence, if Mark has a container in the shape of a cube and he uses 64 cubes with sides length of 1 inch to completely fill the container, then the edge length of the container is 4 inches

Learn more about volume here

brainly.com/question/11168779

#SPJ1

The solution for the linear equation is a = -26/21, so the correct option is the first one counting from the top.

Here we have a mathematical statement that can be written as the following linear equation:

-a - 4/7= 2/3

To solve this for a, we just need to isolate a in one of the sides of the equation, so let's do taht.

-a - 4/7 = 2/3

a = -4/7 - 2/3

Now we need a common denominator in the right side, i will use 21.

a = -12/21 - 14/21 = -26/21

So the correct option is the first one.

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

The height will be 18 inches and the scale is 1 inch = 6 inches.

1.5 inches is the width of a book picture shown on a website.

And the book's length, as displayed on the website, is 3 inches

The book's real width is 9 inches.

The book image's size is

6 inches to one inch

The book is actually three and six pages long.

The size of the real book is 18 inches long and 9 inches broad.

Hence the scale is 1 inch is equal to 6 inches and height is 18 inches.

Learn more about Scaling at

https://brainly.com/question/11309724

#SPJ9

Answer:

1. m∠P + m∠Q + m∠R = 180°

2. x = 10

Step-by-step explanation:

By the triangle sum theorem, the sum of the angles in a triangle is 180°. Therefore, using the given sum theorem, m∠P + m∠Q + m∠R = 180°. Using the substitution property, (5x)° + (5x)° + (8x)° = 180°. Simplifying the equation gets 18x = 180°. Finally, using the division property of equality, x = 10.

I hope this helps!

The location of point P such that the ratio AP / PB = 2 / 3 is (1, - 2).

In this question we have the location of two endpoints of a line segment, point A (3, 0) and point B (- 2, - 5). About the line segment, we are asked to find the coordinates of a point P such that the following ratio is met:

AP / PB = 2 / 3

3 · AP = 2 · PB

3 · [P(x, y) - A(x, y)] = 2 · [B(x, y) - P(x, y)]

3 · P(x, y) - 3 · A(x, y) = 2 · B(x, y) - 2 · P(x, y)

5 · P(x, y) = 3 · A(x, y) + 2 · B(x, y)

P(x, y) = (3 / 5) · A(x, y) + (2 / 5) · B(x, y)

P(x, y) = (3 / 5) · (3, 0) + (2 / 5) · (- 2, - 5)

P(x, y) = (9 / 5, 0) + (- 4 / 5, - 10 / 5)

P(x, y) = (9 / 5, 0) + (- 4 / 5, - 2)

P(x, y) = (1, - 2)

The location of point P is (1, - 2).

To learn on partitioning line segments: https://brainly.com/question/3148758

#SPJ1

The point-slope form of equation of the line perpendicular to the line y = 5x + 6 nd passing through (-3,3) is x + 5y = 12.

If two lines are perpendicular to each other, then the product of slopes of these two lines is equal to -1.

The provided line is y = 5x + 6,

The slope M₁ of the line is equal to the coefficient of x,

M₁ = 5

Let the slope of the perpendicular line is M₂,

So, we can write,

M₁M₂ = -1

M₂ = -1/5.

Now, we can use the point slope form of the equation of line, according to which is if line passes through (a,b) and have slope m then the equation of the line will be,

(y-a) = m(x-a)

This form of line is called Point-slope form of line.

Then, the equation of the line with slope -1/5 and passing through (-3,3) will be,

(y-3) = -1/5(x+3)

-5y+15 = x+3

x + 5y = 12

The above equation is the required equation of line in point slope form.

To know more about Point-slope form, visit,

https://brainly.com/question/25240053

#SPJ1

Based on the fact that Aster Inc. paid salaries to its employees, the effect on the balance sheet and the income statement is A. Assets ↓ Expenses ↑.

When the salaries were paid by Aster Inc. to its employees, the effect was that the assets decreased. This is because cash was used to pay the salaries and cash is an asset.

Expenses will increase because when there is a payment of expenses to employees, it is recorded as a debit to the relevant asset account so this is an increase that will decrease income.

Find out more on the effects of expenses at https://brainly.com/question/18958281

#SPJ1

Option C, (x, y) - (-x, -y) is the rule which describes the transformation.

A rotation in geometry is a change of a shape that involves turning it by a given number of degrees around a certain point known as the center of rotation and is denoted as R(0,x), wherein x is an angle of rotation around a center point O.

Assume triangle ABC's subsequence to be (x, y) and the angle of rotation for rotating triangle ABC to A'B'C' to be 180° or -180° about the center of rotation (0,0).

That is under R(0,0),180°.

The image formed is (-x,-y).

The resulting picture will contain a triangle ABC in the first quadrant of the graph and a triangle A'B'C inside the third quadrant with the center of rotations (0,0).

Learn more about Coordinate Geometry at

https://brainly.com/question/27878830?referrer=searchResults

#SPJ9

The distance run by Amy per minute is 0.132 miles.

Given,

The distance run by Amy = 7 miles

Time taken by Amy to cover this distance = 53 minutes

We have to find the distance covered by Amy in one minute.

So,

Distance covered by Amy per minute = x

Then,

7 / 53 = x / 1

7 × 1 = x × 53

Here,

x = 7/53

Then,

x = 0.132

That is,

The distance run by Amy per minute is 0.132 miles.

Learn more about distance here:

https://brainly.com/question/9550837

#SPJ1

Transformations that maps ∆ABC to ∆A''B''C'' is [tex]A^{''}(8,-2)\\B^{''}(5,-2)\\C^{''}(7,0)[/tex]

A coordinate plane is a two-dimensional surface made up of two number lines. It is produced when a horizontal line crosses the origin, which is the location where the X-axes and Y-axes meet. The numbers on a coordinate grid are used to find points. Using a coordinate plane, you may graph points, lines, and many other things. It functions as a map and gives precise driving instructions between two spots.

Reflection about x - axes (x,y)→(x,-y)

Reflection about y - axes (x,-y)→(-x,-y)

combined reflection is reflection about origin.

[tex]A^{'}(5,-3) \\B^{'}(2,-3)\\[/tex]

[tex]C^{'}(4,-1)[/tex]

Shift upward by 1 unit and on right hand side by 3 units

(x,y)→(x+3;y+1)

=[tex]A^{''}(8,-2)\\B^{''}(5,-2)\\C^{''}(7,0)[/tex]

To learn more about coordinate plane visit :

brainly.com/question/13611766

#SPJ13

Answer:

3(2×4)=(3×4)2

%%%%%%%%

Answer:

3.24 years

Step-by-step explanation:

2 = e^it          Decimal interest = i    T = years     2 = double

T = 3.24 years   For ANY deposit amount to double

Answer:

135

Step-by-step explanation:

two interior angles of a triangle equal to the exterior of the angle that is neither of the interior angles

so in this case

p + t = 135

Step-by-step explanation:

Answer:

Step-by-step explanation:

variable expenses sum is 6,100

fixed expenses sum is 18,942  

The expression 8.61 x 10-1 in standard form is 0.861

The expression is given as

8.61 x 10-1

Rewrite the equation properly as follows

So, we have the following expression

8.61 x 10^-1

Express 10^-1 as 1/10

So, we have the following expression

8.61 x 1/10

Evaluate the products

So, we have the following expression

8.61/10

Evaluate the quotient

So, we have the following expression

0.861

Hence, the expression is 0.861

Read more about standard form at

https://brainly.com/question/1708649

#SPJ1

Write an equation which relates the figure number x to the number of tiles y​

x= increase a row of 4 per image

y = 1 + 4*x

Figures

1

y = 1 + 4*(1) = 5

2

y = 1 + 4*(2) = 11

3

y = 1 + 4*(3) = 13

__________________

Answer

The equation which relates the figure number x to the number of tiles y​ is

y = 1 + 4x

_

Can you see the updates?

Do you have any questions regarding the solution?

The rate of change is represented by the slope of each club.

For Club A is 12.

For Club B we calculate using the formula

The value is 21.

For Club C we apply the same formula and use the poins shown in the graphic

For club D the slope is the value that is paid each month

which in this case is $20

According to this the greatest rate of chande is for Health Club B