20. The table shows the numberof days you keep a rented movie before returning it and the total cost of renting the
movie. Find the rate of change in cost with repect to time and interpret its meaning.
Time (days)
4
5
6
Cost (dollars)
6.00
8.25
10.50

Answers

Answer 1

Step-by-step explanation:

According to given table we have pairs of points:

(4, 6.00), (5, 8.25), (6, 10.50)

The rate of change is:

(8.25 - 6.00)/(5 - 4) = 2.25

or

(10.50 - 8.25)/(6 - 5) = 2.25

It is 2.25 and the meaning is:

Rental per day is $2.25

Related Questions

Write the equation of a line that
passes through the following points
:
Point 2: (0,-8)
Point 1: (-3,0)

Answers

Answer:

[tex]y = \frac{-8}{3}x - 8[/tex]

Step-by-step explanation:

Solving for the equation of the line with two points:

Let's remind ourself of the slope - intercept formula:    [tex]y = mx + b[/tex]

We first have to find the slope of the line. This is found by using the formula :

[tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]

We have to find the change in y (Δy) and divide it by the change in x (Δx)

We then have to plug in a coordinate given to us, and use the point's x and y value to find the y - intercept

Step 1: Slope

Let's use the slope formula

[tex]\frac{0 - (-8)}{-3 - 0} = \frac{8}{-3}[/tex]

Slope = -8/3

Step 2: Y - Intercept

To find the y - intercept, we'll update our slope - intercept formula with the slope, and plugin a point. Let's use (-3,0)

[tex]y = \frac{-8}{3}x + b[/tex]

[tex]0 = \frac{-8}{3}(-3) + b[/tex]

[tex]0 = \frac{24}{3} + b[/tex]

[tex]0 = 8 + b[/tex]

[tex]b = -8[/tex]

Step 3: Equation

Let's input our slope and y - intercept to the equation     [tex]y = mx + b[/tex]

Slope = -8/3

Y - Intercept = -8

Equation:    [tex]y = \frac{-8}{3}x - 8[/tex]

-Chetan K

3
15. 6x + 10y=0
Find the slipe

Answers

Answer: y = -3/5x

............................................

The answer above me is incorrect, the slope is -3/5x

Here is how i did it:
6x + 10y = 0
-6x. -6x
10y = -6x
——. ——
10. 10
y=-3/5x


Slope intercept form is y=mx+b, and the
original equation was not in that form so 6 is not the slope, it’s is -3/5

factorize 21xy - 14xz - 28wx

Answers

Answer:

7x(3y - 2z - 4w)

Step-by-step explanation:

21xy - 14xz - 28wx ← factor out 7x from each term

= 7x(3y - 2z - 4w)

Answer:

7 x . (3y - 2z - 4w

Step-by-step explanation:

Someone plz help me :(

Answers

Answer:

A

Step-by-step explanation:

the ratio shows that for every two songs beth's mom has, beth has one more.

*3 is larger than 2 by 1

meaning, if her mom has 6 songs, then she will have 7

if Beth has 12 songs, her mom would have one less, 11

The ratio of roses to tulips is 2:3. What percent of the flowers are roses?

Answers

Answer:

  40%

Step-by-step explanation:

Roses are 2/(2+3) = 2/5 = 2/5×100% = 40% of the total.

Sheila predicted that the Doja cat concert would have 310 people attend. Only 220 attended. Find the percent Error Show your work

Answers

Answer: 29%

Step-by-step explanation: 220 out of 310 attended. This mean the error percentage is 90/310. Dividing 90 by 310, we get the answer of around 29%.

Would appreciate brainly <3

Based on information from Consumer Reports, a random sample of 35 thirty-gram cookies had a sample mean of 146 calories. The standard deviation is know to be σ = 12. Find a 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies. Round the numbers in your interval to the nearest whole number.

Answers

Using the z-distribution, it is found that the 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).

We are given the standard deviation for the population, which is why the z-distribution is used to solve this question.

The information given is:

Sample mean of [tex]\overline{x} = 146[/tex]. Population standard deviation of [tex]\sigma = 12[/tex]. Sample size of [tex]n = 65[/tex].

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

The critical value, using a z-distribution calculator, for a 95% confidence interval is z = 1.645, hence:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 146 - 1.645\frac{12}{\sqrt{35}} = 143[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 146 + 1.645\frac{12}{\sqrt{35}} = 149[/tex]

The 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).

A similar problem is given at https://brainly.com/question/16807970

11. In right triangle CAT, angle. If CA = 6 and CT = 8, find AT.

Answers

Answer:

AT=5.29 or 2√7

Step-by-step explanation:

Pythagorean  theory

a²+b²=c²

CAT means ∡ A is 90°

so CA is one of the leg (a) and AT the other leg (b)

CT is the (c)

6²+b²=8²

b²=64-36

b=√28

=5.29

2. At a rate of 50 mph, a car travels a distance
of 600 miles. How far will the car travel at
a rate of 40 mph if it is driven the same
amount of time?

Answers

Answer: 480 miles

Step-by-step explanation:

first you divide 600 by 50 and thats the amount of hours.

600 / 50 = 12

then multiply 40 x 12 and you got your answer. :)

40 x 12 = 480 therefore your answer is 480

Write 0.00000506 in scientific notation.

Answers

Answer:

5.06*10 to the power of -6

Step-by-step explanation:

you need the number to be in between one and 10 so 5.06 is where the decimal should be and the exponent is negative because when you want to put it back to the rational number you go 6 decimal places to the LEFT

wouldn’t it be 5.06*6 ?? Sorry if I’m wrong slick forgot how to do this but If I REMBER correctly this should be the answer again sorry if not


Write the equation of a line that is parallel to y = –5/4x +7
and that passes through the point -4.1).

Answers

Step-by-step explanation:

a general line equation is

y = ax + b

the slope of a line is always the factor of x (a).

it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.

so, here it is -5/4.

it says, when x changes by +4, then y changes by -5.

a parallel line must have the same slope. it just crosses the y-axis at a different point. and that is what b specifies in the equation. it tells us the y value when x = 0.

and we get it by using the point coordinates in the equation and then solve for b :

1 = -5/4 × -4 + b = (-5 × -4)/4 + b = 20/4 + b = 5 + b

b = -4

so, the full equation of the parallel line is

y = -5/4x - 4

Help finding surface area

Answers

Answer:

471.23 km²

Step-by-step explanation:

This is a cylinder.

Here's the formula to the the surface area of a cylinder.

[tex]Surface\:\:Area\:\:\:= 2\pi r(r+h)[/tex]

They have given the the diameter of the circle .

There fore we have to find the radius .

d = 2 r

10 = 2 r

5 km = r

Let's find the Surface area now.

[tex]2\pi r(r+h)[/tex]

[tex]2 *\pi *5(5+10)[/tex]

[tex]10\pi *15[/tex]

[tex]150 \pi[/tex]

471.23 km²

Hope this helps you.

Let me know if you have any other questions :-)

There is a bag filled with 3 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 green?

Answers

Answer:

35/72

Step-by-step explanation:

Given trapezoid​ WXYZ, what is​ XY?

Answers

Step-by-step explanation:

X is the mulplied

Y is the pronouns

30 POINTSSS PLEASE HELPP!!!!
What are the exact measures of the other two sides of the triangle? Use special right triangles ratios and show your work.

Answers

Answer:

Short leg: 7cm

Long leg: 7√3

Step-by-step explanation:

This is a 30 60 90 triangle.

Picture shows how to solve.

PLS WHAT IS THE REAL ANSWWR ASAP

Answers

the answer is t<-48

i hope this helped you if you need the explanation lmk

Pls help me with this question

Answers

Answer:

were is the qn?

Step-by-step explanation:

I need help quick desperate

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Determine the scale factor between the two shapes

given: abc ~ xyz

Answers

Answer:

2

Step-by-step explanation:

The scale factor between the two shapes is 2 because when you look at the number between the two triangles, 6/3 is 2 and 20/10 is also 2.

7.5t= 45 Solve this.

Answers

Answer:

t = 337.5

Step-by-step explanation:

(7.5) * 7.5t = 45 * (7.5)

t = 337.5

Just some simple algebra, please mark me brainliest!

please answer and show work ill give u 70 point

Answers

1.answer

15/8-5/8=10/8answer

2.

9/5-1/5=8/5answer

3.3/2-1/2=2/2answer

Answer:

first question= 7/8

second question= 8/5

third question= 1

fourth question=23/8

fifth question=9/8

final question= 1/3

Step-by-step explanation:

1) 15/8 - 5/8 = 7/8

since the denominator is the same, it will be easier

do 15-8

which is 7

so the final answer is 7/8

(Remember that you don't subtract the denominator)

2) 9/5 - 1/5 = 8/5

Using the same method as the first question, you should get 8/5

8/5 as a mixed fraction would be 1 3/5

3) 1 1/2 - 1/2= 1

1 1/2 into a mixed fraction = 3/2

3/2-1/2

=2/2, which is 1

4) 3 1/4 - 3/8=23/8

3 1/4 as a mixed fraction is 13/4

so the equation would be 13/4 - 3/8

however, the denominator is not the same

and the least common multiple is 8

so 13/4 = 26/8

26/8-3/8= 23/8

5) 5/4 - 1/8 = 9/8

5/4 doesn't have the same denominator as 1/8, so you change it into 10/8

10/8-1/8

9/8

6) final question :)

5/6 - 1/2= 1/3

1/2 = 3/6

5/6-3/6

=2/6

after simplifying= 1/3

Hope it helps and have a nice day!

Mark me as branliest pls

the number of fish in a lake decreasing by 400 every year,as described by the function below. f(1)=8200 f(n+1)=f(n)-400 what will be the value

Answers

The number of fish in the lake is an illustration of arithmetic sequence

The value of f(2) is 7800, and it represents the number of fish in the lake, the second year

The model is given as:

[tex]\mathbf{f(n+1) = f(n) - 400}[/tex]

Where [tex]\mathbf{f(1) = 8200}[/tex]

To calculate f(2), we simply take n as 1.

i.e. n = 1

Substitute 1 for n in [tex]\mathbf{f(n+1) = f(n) - 400}[/tex]

So, we have:

[tex]\mathbf{f(1+1) = f(1) - 400}[/tex]

Add 1 and 1

[tex]\mathbf{f(2) = f(1) - 400}[/tex]

Substitute 8200 for f(1)

[tex]\mathbf{f(2) = 8200 - 400}[/tex]

Subtract

[tex]\mathbf{f(2) = 7800}[/tex]

Hence, the value of f(2) is 7800

Read more about sequence at:

https://brainly.com/question/18109692

3 feet + 7 inches = ___ inches

Answers

Answer:

10

because when you plus 3+7 is 10

There are 12 inches in one foot
12 inches x 3 feet = 36 inches
36 + 7 = 41 inches
Answer: 41 inches

Will give brainliest!

Answers

Answer:

1[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

17/20 + 7/20

17+7=24

24/20 =1.2

1 [tex]\frac{4}{20}[/tex]

can simplify to be 1[tex]\frac{1}{5}[/tex]

Answer:

1 1/5

Step-by-step explanation:

17/20 + 7/20 is equal to 24/20. Because the denominater (20 in this case) is the same we can leave it there and just add the numerator.

Now to simplify into a proper fraction. We know that only 1, 20 goes into 24 because if there was 2, 20's it would be 40 which is greater than 24. So 24 - 20 is 4. Therefore the answer is 1 4/20 which can be simplified to 1 1/5

what is the formula for calculating midpoint​

Answers

MIDPOINT

The intersection of a line segment's two endpoints is known as the midpoint. From the midpoint to one endpoint and the midpoint to the other endpoint, you will be given two equal distances.

The formula for calculating the midpoint is given below:

[tex] \boxed{ \bold{ \: \: M = \bigg(\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2}\bigg) \: \: }}[/tex]

For example, let us try solving this sample problem below using the midpoint formula:

Sample problem: A new transmission tower will be put up midway between two existing towers. On a map drawn on a coordinate plane, the coordinates of first existing tower are (-5, -3) and the coordinates of the second existing tower are (9, 13). What are the coordinates of the point where the new tower will be placed?

From inspection on the given problem:

[tex]\sf (x_1, y_1) = (-5, -3) [/tex][tex]\sf (x_2, y_2) = (9, 13) [/tex]

Substitute the given values into the midpoint formula and solve for M:

[tex]\sf M = \bigg(\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2}\bigg)[/tex]

[tex]\sf M = \bigg(\dfrac{-5 + 9}{2}, \dfrac{-3 + 13}{2}\bigg)[/tex]

[tex]\sf M = \bigg(\dfrac{4}{2}, \dfrac{10}{2}\bigg)[/tex]

[tex]\sf M = (2, 5)[/tex]

Therefore, the coordinates of the point are (2, 5).

[tex]\\[/tex]

Now, wasn't that easy? Try this other sample problem:

The endpoints of a segment are (-5, 2) and (9, 12), respectively. What are the coordinates of its midpoint?

From the sample problem above, you may solve it on your own to enhance your skill on calculating the midpoint.

Cheers!

mike deposited a sum of rs 64000 in a post office for 4 years, compound annually at 4% per annum. What amount will he get on maturity

Answers

Answer:

79507

Step-by-step explanation:

because 64000(1+15/200)^3= 79507

The minute hand of a clock turns 6 degrees per minute. In ten minutes the minute hand turns what fraction of a full 360 turn?

Answers

Answer:

25%

Step-by-step explanation:

15 times 6 is 90

90 is 25 % of 360

a garden snail moves 1/6 foot in 1/3 hours. Find the speed of the snail in feet per hour

Answers

(1/6)/(1/3)
1/6 x 3/1
1/6 x 3
3/6
1/2

3/6 = 1/2 fph = .5fph

write a funny statement

Answers

Answer:

haaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Which of the following has 104.0032 in written form?

A. one hundred four thirty-two ten-thousandths
B. one hundred four and thirty-two ten-thousandths
C. one hundred four and thirty-two thousandths
D. one hundred four and thirty hundredths two ten-thousandths

Answers

One hundred and four point zero zero three two.

- BRAINLIEST answerer

Answer:

C.one hundred four and thirty two thousandth

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