Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be true?
The pool must have been empty for the entire interval.
The pool must have been the same depth at the start of the interval as it was at the end of the interval.
The pool must have been deeper at the end of the interval than it was at the start of the interval.
The pool must have been more shallow at the end of the interval than it was at the start of the interval.

Answers

Answer 1

The pool must have been the same depth at the start of the interval as it was at the end of the interval, option second is correct.

What is the average rate of change?

Finding out how much something changes over time is what the average rate of change is all about.

We have Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero.

As we know that the average rate of change can be calculated using:

= (Last quantity - starting quantity)/Time interval

The average rate of change, on the other hand, does not account for intermediate values, therefore you can't draw any conclusions about them.

In the given problem:

The average rate of change in depth = (Last quantity - starting quantity)/2

0= (Last quantity - starting quantity)

Final depth = Initial depth

Thus, the pool must have been the same depth at the start of the interval as it was at the end of the interval, option second is correct.

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Related Questions

this is an escape room i can't escape

Answers

Answer:

The area of the rectangle is 180 units

Step-by-step explanation:

6 + 2 + 2 = 10

But the areas of each sectioned off shape are

Big rectangle = 180

Small rectangle = 48

2 by 8 triangles = each 8

3 by 8 triangles = each 12

Altogether, it's 268

Answer:

268 square yards

Step-by-step explanation:

small L rectangle   8 x 6 =48

two L triangles   2    * 1/2 * 2 * 8 = 16

Large rectangle 18 x 10 = 180

two R triangles    2    * 1/2 3 x 8 =24    Total = 268 yds^2

Select the correct line plot that accurately shows the data set above.

Answers

Answer:

B

Step-by-step explanation:

1,2  2,3  1,6  1,9  3,10  2,11  1,13  3,15  3,16  2,17

x,y

x= how many goals they made were the same

y= the actual number of soccer goals

(This is just how I organized how to make the chart)

Evan places a rectangular birdbath in his garden. The dimensions are 24, 8, and 11
2
in. Explain how to find the maximum amount of water the birdbath can hold. Then find the amount.

Answers

The maximum amount of water the birdbath can hold is 288 cubic in which is the volume of the cuboid.

What is a cuboid?

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

We have a rectangular birdbath in his garden. The dimensions are 24, 8, and [tex]1\dfrac{1}{2}[/tex] inches

The maximum amount of water in the birdbath = volume of the birdbath

[tex]\rm = 24 \times 8 \times 1\dfrac{1}{2}[/tex]

[tex]\rm = 24 \times 8 \times \dfrac{3}{2}[/tex]

= 288 cubic in

Thus, the maximum amount of water the birdbath can hold is 288 cubic in which is the volume of the cuboid.

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One cubic foot of concrete weighs about 145 pounds. What is the weight of 19 cubic feet of concrete?​

Answers

Answer:

2755

Step-by-step explanation:

One cubic foot=145 pounds, so we can do 145x19=2755 lbs.

The required weight of 19  cubic feet of concrete is 2755 pounds.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
One cubic foot of concrete weighs about 145 pounds.
weight of 19 cubic feet of concrete = 19 × 145 = 2755 pounds.

Thus, the required weight of 19  cubic feet of concrete is 2755 pounds.

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Paul drove for one and a half hours at 65 mph before he realized he had forgotten his wallet. After Paul drove home and grabbed the wallet, he realized that he had only three hours to go one hundred eighty miles. At what speed should he drive to cover the distance in time?

Answers

60 mph, or r = 180 / 3, the third option

If f(x) = 6x+2, find f(-4).

Answers

Answer:

-22

Step-by-step explanation:

It would be negative -22

6*(-4)+2

-24+2

-22

Hope this helps :)

Answer -

[tex]f(x) = 6x + 2 \\ \\ \implies \: f( - 4) = 6( - 4) + 2 \\ \\ \implies \: f( - 4) = - 24 + 2 \\ \\ \implies \: f(x) = - 22[/tex]

hope helpful ~


Solve the following using inverse matrix also indicate the inverse matrix A-1 that was used to solve the system
7X+8Y=3
4X+6Y=-2

Answers

The answer is A-7 and it’s matrix 18 times 65

reflection across y = 1

Answers

Answer:

Vertical Reflection Apply a reflection over the line y=-1 The procedure to determine the coordinate points of the image is the same as that of the previous example with minor differences in that the change will be applied to the y-value and the x-value stays the same.

Step-by-step explanation:

BRAINLIST PLEASE

Solve for x. Round to the nearest tenth, if necessary.

Answers

36.9 is the value of x

PLEASE HELP ME IM SO CONFUSED!!! i need answers 10-12

Answers

Answer: Heyaa! ~

   10. 8√2

   11. 2h²√3

   12. 2h³√5k⁴

Step-by-step explanation:

    - Lets solve it together!

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Hopefully this helps you!

Triangle ABC represents a triangular garden with side lengths AB= 10cm ,BC= 8cm and AC=15cm .

What is the smallest and largest angle of the garden?

Answers

Answer:

Largest angle is "B" and smallest angle is "A".

Step-by-step explanation:

Given ∆ABC

AB = 10 cm , BC = 8 cm , AC = 15 cm

Angle opposite to side AB is "C"

Angle opposite to side BC is "A"

Angle opposite to side AC is "B"

we know that the angle opposite to largest side is largest angle and smallest side is smallest angle.

Here,∆ABC largest side is AC and smallest side is BC.

Hence,largest angle is "B" and smallest angle is "A".

On Tuesday 1/3 of students were absent. Thursday 1/9 were absent. If 20 more students were absent on Tuesday than Thursday, how many students are there in the school? ​

Answers

Answer:

There are 90 students in this school.

Step-by-step explanation:

Answer:

90 students are in the class

Step-by-step explanation:

So basically, you need to make this ration fraction equation:

[tex]\frac{1}{3} \\\\[/tex]  - [tex]\frac{1}{9} \\[/tex] = 20 .

you would come up with 2/9 is 20.

Times it by both sides and you will get 180=2x.

Note this x is added so you will get a variable and not get confused.

Then, your answer would become x=90.


(-2,-4)

Oy=(x + 2)² +4
Oy=(x - 2)²-4
Oy=-(x - 2)²-4
Oy=-(x + 2)² - 4

Answers

Answer:

[tex]\textsf{D)} \quad y=-(x+2)^2-4[/tex]

Step-by-step explanation:

Vertex form of a quadratic equation:  

[tex]y=a(x-h)^2+k[/tex]

where:

[tex](h, k)[/tex] is the vertex[tex]a[/tex] is some constant
If [tex]a > 0[/tex], the parabola opens upwards
If [tex]a < 0[/tex], the parabola opens downwards

From inspection of the graph, the vertex (turning point) is (-2, -4).

Substituting the vertex into the equation:

[tex]\implies y=a(x-(-2))^2+(-4)[/tex]

[tex]\implies y=a(x+2)^2-4[/tex]

As the parabola opens downwards, [tex]a < 0[/tex]:

[tex]\implies y=-a(x+2)^2-4[/tex]

The curve intercepts the y-axis at (0, -8).

Inputting this into the equation and solving for [tex]a[/tex]:

[tex]\implies -8=-a(0+2)^2-4[/tex]

[tex]\implies -4=-4a[/tex]

[tex]\implies a=1[/tex]

Therefore, the equation of the graph is:

[tex]y=-(x+2)^2-4[/tex]

Answer:

y = -(x + 2)² - 4

Step-by-step explanation:

Vertex form of an equation :

y = a(x - h)² + k

Vertex = (h, k)

Substituting the coordinates of the vertex in the equation :

y = (x -(-2))² + (-4)

y = (x + 2)² - 4

y = -(x + 2)² - 4 (as the graph  opens downwards)

4) The radius of a circle is 9 feet. What is the circle's area?
r=9 ft
4) Use 3.14 for л.
square feet

Answers

Answer:

254.34 square feet

Step-by-step explanation:

Area of a circle: πr²

Given:

π = 3.14r (radius) = 9 ft

Substitute the given values into the formula:

A = (3.14)(9)²

A = (3.14)(81)

A = 254.34 ft²

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what is blank % of 18 = 9

Answers

Answer:

50 percent, trust me.

Answer: 50%

Step-by-step explanation: 50/100 x 18 = 9

50/100 can also be written as 0.5

0.5 x 18 = 9

of = multiply

the average of two numbers is 41. If one of the numbers is 27, what is the other number?

Answers

The other number if the average of two numbers is 41 and one is 27 is 55

How to calculate the average of numbers?

Average of number is also known as the mean.

Let the unknown number be "x" such that:

x +27/2 = 41

Determine the value of x

x + 27 = 2(41)
x + 27 = 82
x = 82 - 27

x = 55

Hence the other number if the average of two numbers is 41 and one is 27 is 55

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If johnny had 609898 cupcakes and gave 2323 away how much would he have left

Answers

Answer:

607,575 cupcakes

Step-by-step explanation:

Highschool math? haha

609898 - 2323 =

607,575

Can somebody help me on this

Answers

Answer:

7 + 7 = 14

you have 7 apples and add 7 more thats 14

Step-by-step explanation:

Helpppp pleaseeeee is

Answers

Answer:

Step-by-step explanation:a(1/2 - 1/8)/(2 - 1/2)

a. (4/8 - 1/8)/(4/2 - 1/2)

3/8 / 3/2

3/8 x 2/3 = 2/8 = 1/4

y - 1/8 = 1/4(x - 1/2)

y - 1/8 = 1/4x - 1/8

y = 1/4x

b. (1400 - 1200)/(1000 - 500)

     200/500 = 2/5

y -  1200 = 2/5(x - 500)

y - 1200 = 2/5x - 200

y = 2/5x + 1000

c. (41.85 - 13.95)/(3 - 1)= 27.90/2 = 13.95

 y - 13.95 = 13.95(x - 1)

y - 13.95 = 13.95x - 13.95

y = 13.95x

d. (2.34 - 0)/(15 - 0)= 2.34/15 = .16 or .156

    y = .16(x - 0)

y = .16x

or y = .156x

PLEASE HELP ASAP!! DUE IN 10 MINUTES!! I'LL MARk BRAINLIEST ADN HIGH POINTS!! PLEASE HELP!!

Answers

Answer:

*speedrunning intensifies*

A:

Min is 15

LQ is 23

Median is 36

UQ is 38

B:

IQR is 38 minus 23, or 15, I guess that the data is not very consistent and it is spread out?

C:

Min is calculated by looking at the end of the far left line

LQ is the far left of the box

Median is the line inside the box

UQ is the the far right of the box

IQR is UQ subtract LQ

I answered because I wanted you to get brainliest!

A scientist uses a submarine to study ocean life.
• She begins at sea level, which is an elevation of o
feet.
. She travels down 20.6 feet.
. She then rises 12.5 feet.
• Next, she descends a second time, 32.4 feet.
How many feet must she now ascend to get back to
sea level?

Answers

Based on the illustration given above, the feet that she now need to ascend to get back to sea level is 40.5.

What is the sea level about?

Note that the first descend was 20.6 - 12.5 =

8.1 feet

Then she drop 32.4 feet again

So to get back up she need to add:

= 32.4 feet + 8.1 feet

= 40.5

Therefore, based on the calculation given above, the feet that she now need to ascend to get back to sea level is 40.5.

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A store pays $68 for a chest of drawers and markers the price up by 50% what is the amount of the mark up

Answers

Answer:

$102.00

Step-by-step explanation:

Simply multiply 68 by 50 percent

68 × 50% or 68 × .5 = 34

so . .

Add 68 + 34 = 102  

how i would do it is first do 68 divided by 2 bc that would be 1/2or 50% so that is 34$ so the i would do 68$+34$=102$ but the question is how much was the markup so its 34$. and you can confirm im right by putting in 68x50% in the calculator

Please help me I swear I’ll love you for freaking ever .

Answers

Answer:

m∠K = 36°

m∠L = 54°

m∠M = 90°

Step-by-step explanation:

         A triangle's angles add up to 180 degrees. We will add together all the angles and set them equal to 180. Then, we will solve for x. Lastly, we will solve for the angle measurements.

-> The little "box" in angle M means that it is equal to 90°

90° + (2x + 42)° + (4x + 12)° = 180°

90° + 42° + 12° + 2x° + 4x°= 180°

144° + 6x°= 180°

6x° = 36°

x = 6°

[m∠K]

4x + 12

4(6) + 12

36°

[m∠L]

2x + 42

2(6) + 42

54°

Answer:

m ∠ K = 36° m ∠ L = 54°m ∠ M = 90°

--------------- HappY LearninG <3 ---------

Which quadrilateral always has diagonals that are congruent but not necessarily perpendicular.

Answers

Step-by-step explanation:

a trapezoid.

the 2 sides on the left and the right are equal (congruent), and so are the diagonals.

but these diagonals are usually not perpendicular (perpendicular = intersecting each other at 90°).

Select the correct answer.
Courtney constructed this figure using a compass with its width set equal to PR, the radius of the circle.

She claims triangle PRS is equilateral because all three sides of the triangle are equal to PR. She also claims that applying the same argument to prove each triangle in the figure is equilateral proves that the inscribed hexagon is also equilateral.

Which statement is true?

A.
Courtney's reasoning about triangle PRS is correct, but the hexagon is not equilateral.
B.
Courtney's reasoning about triangle PRS is correct, and the hexagon is equilateral.
C.
Courtney's reasoning about triangle PRS is incorrect, and the hexagon is not equilateral.
D.
Courtney's reasoning about triangle PRS is incorrect, but the hexagon is equilateral.

Answers

B.Courtney’s reasoning about triangle PRS is correct, and the hexagon is equilateral.

Answer:

B.Courtney’s reasoning about triangle PRS is correct, and the hexagon is equilateral.

Step-by-step explanation:

#46 will give brainliest

Answers

Answer:

50

Step-by-step explanation:

This is the equation:
x = 5 + 3y
We know that:
x - y = 35

Meaning we only need to solve for y now:

(5 + 3y) - y = 35
5 + 2y = 35
2y = 30
y = 15

Meaning the final formula is

x = 5 + 3(15)
x = 50

Let's set some variables before we solve:

First number ⇒ xSecond number ⇒ y

Okay's lets read the question

'x' is 5 more than three times 'y'

           ⇒ [tex]x = 3y +5[/tex]

               ⇒ [tex]x-3y=5[/tex]

Their difference is 35

           ⇒ [tex]x - y = 35[/tex]

Let's put the two equations together and solve

  [tex]x-3y=5 --equation1\\[/tex]

  [tex]x-y=35 -- equation2[/tex]

 (equation2) - (equation1)

  [tex]2y = 30\\y = 15 -- equation 3[/tex]

  (equation 3)'s value of y into (equation2)

  [tex]x - 15= 35\\x = 50[/tex]

Thus: [tex]x = 50[/tex] and [tex]y = 15[/tex]

The larger number is 50

Answer: 50 or Choice 3

Hope that helps!

 

Help me please it’s l haven’t learnt it

Answers

the horizontal axis is the bottom (____), the title is usually hiden in the task name

Question 6(Multiple Choice Worth 1 points)
(03.05 LC)
What is the volume of a sphere with a radius of 9 inches?
O 108TT
O 242TT
O 642TT
O 972TT

Answers

Answer:

972TT

Step-by-step explanation:

formula for volume of a sphere is

4/3TTr3

input the radius r as 9

4/3TT9 3

4/3TT729

4TT243

972TT

PLS HURRYYYY ITS DUE TODAY!!!

Malik is cutting boards for a project. He needs boards that are 712 inches long. He cut his first board too long. His percent error was 12%.

How long did Malik cut the board?

Enter your answer as a mixed number in simplest form in the box.

in.

Answers

Answer:

85 44/100

Step-by-step explanation:

I think this is the corect anser

Answer:

8 2/5

7 1/2 times 12 divided by 100 = 0.9

7 1/2 + 0.9 = 8.4

as a mixed number it would be 8 2/5

Step-by-step explanation:

Vince is cutting fabric strips for a project. He needs fabric strips that are 1212 inches wide. He cut his first fabric strip too wide. His percent error was 5%. How wide did Vince cut the fabric strip?

Answers

answer: 1151.4 inches

what I did was if you have 1212 inches and you need to get rid of 5% you would get 1151.4 inches since 1212 times 0.95

Answer:

13.125 inches wide

Step-by-step explanation:

5% more than 12.5 which is 12 1/2 as a decimal, equals 13.125 inches.

Multiply your needed fabric  width (12.5 or 12 1/2) by (1 + %/percent you're increasing it by) to equal the width you cut instead:

[tex]12.5(1+5) = 12.5(1.05) = 13.125[/tex]

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