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 interv

Answers

Answer 1

Answer:The pool must have been the same depth at the start of the interval as it was at the end of the interval.

Step-by-step explanation:

The average rate of change is calculated as:

[final value - initial value] / time interval.

Then, the average rate of change does not take into account intermediates values, and you cannot draw any conclusion about such intermediate values.

In the given case you have:

average rate of change in depth = [final depth - initial depth] / 2 weeks.

0 = [final depth - initial depth] / 2 weeks.

⇒ 0 = final depth - initial depth

⇒ final depth = initial depth.

That is why the conclusion is the second statement of the answer choices: the pool must have been the same depth at the start of the interval as it was at the end of the interval.

In between the pool might have been deeper, more shallow, empty or change in any form, since the average rate of change does not tell the full history but only the net change.

Answer 2

Answer:

The pool must have been the same depth at the start of the interval as it was at the end of the interval.

Step-by-step explanation:

got it right on edge.


Related Questions


What is slope intercept form?
O y = mx + b
OAX + By = C
O a^2 + b^2 = c^2
m is the slope

Answers

Answer:

y = mx + b

m is the slope and b is the y intercept, if I remember correctly

hope this helps :)

What is 4 less than three sevenths of y

Answers

Answer:

[tex]\frac{3}{7}y - 4[/tex]

Step-by-step explanation:

Let's start with the part "three sevenths of y". In this statement, "of" means multiply or times. So, let's apply that. It would now be three sevenths times y. Three sevenths times y looks like this: 3/7y"4 less than" means subtraction because less than means subtractions. So our first part is 3/7y. Now let's add less 4 less than: 3/7y - 4.

I hope this helps!

January, Scott earned $8,999. In February, he earned $2,387 more than in January. In March, Scott earned the same amount as in February. How much did Scott earn altogether during those three months?

Answers

Answer:I believe it's 31,771

Step-by-step explanation: you first need to add 8,999 + 2,387 to get 11,386 then add 11,386 + 11,386 to get 22,772 and then add 8,999 to get 31,771.

Scott earns $31,771 altogether during those three months.

What are Arithmetic operations?

Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

We have to determine that Scott earn altogether during those three months.

We have been given that in January, Scott earned $8,999.

In February, he earned $2,387 more than in January.

So we have to add the amount of January and 2,387, we get

⇒ 8,999 + 2,387 = 11,386

In March, Scott earned the same amount as in February.

So the amount of March = 11,386

Therefore, He earns altogether during those three months as

⇒ 8,999 + 11,386 + 11,386

Apply the Addition operation in the above expression,

⇒ 31,771

Hence, Scott earns $31,771 altogether during those three months.

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Fractions and integer operations practice, I need help please.

Answers

40/11 = 3.63
hope this helps

Cuánto mide el lado de un cuadrado si su área es de 20 cm

Answers

Who’s I could help but doing it for points

if
f(x)=5x+7
and
g(x)=-2x-4
find
f(g(x))=___x+___​

Answers

Answer:

Step-by-step explanation:

g(x) = -2x - 4

f(-2x -4)

5(-2x - 4) + 7

-10x - 20 + 7

-10x - 13

on a time Find the midpoint of segment GL if G (- 2, 46) and L (4, 10). Write your anwer in coordinate pair form (x, y)

Answers

Answer:

(1, 28 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ]

here (x₁, y₁ ) = G(- 2, 46) and (x₂, y₂ ) = L(4, 10), thus

midpoint = ([tex]\frac{-2+4}{2}[/tex] , [tex]\frac{46+10}{2}[/tex] ) = ([tex]\frac{2}{2}[/tex] , [tex]\frac{56}2}[/tex] ) = (1, 28 )

write a word phrase for
[tex] - 5 - 4n[/tex]

Answers

-5: negative five

-: minus

4n: a number times four

Put everything together.

Negative give minus a number times four.

Best of Luck!

Help plzzzzzzzzzzzzzzzzzz

Answers

Answer:

109

Step-by-step explanation:

To solve you must work backward, she has 8 jars of 13 pieces so first do

8*13=104, she currently has 104 pieces. Then add back the five she ate and you get 109

Answer:

109

Step-by-step explanation:

If Anita split the candy into 8 jars, each jar containing 13 pieces of candy, you need to multiply 8 x 13 to get the amount of candy she had after eating the 5 pieces. 8 x 13 is 104. Then, you need to add the 5 pieces of candy she ate before splitting the candy into jars, meaning you must add 5 to 104. 5 + 104 = 109.

what is the value of (5.3x10^4)(4.2x10^3)l

Answers

Answer:

scientific notation = 2.226 * 10^8

Standard form = 222600000

As it is 22.26 * 10^7

Step-by-step explanation:

(5.3x10^4)(4.2x10^3)

Since all the numbers are being multiplied by each other, one can use the associative property to change the order in which they are multiplied.

5.3 x 10^4 x 4.2 x 10^3

= 5.3 * 4.2 * 10^4 * 10^3

= 22.26 * 10^7

Either convert back to scientific notation, standard form or keep as it is.

scientific notation = 2.226 * 10^8

Standard form = 222600000

As it is 22.26 * 10^7

Write two polynomial functions whose quotient will be the same degree as the divisor.

Answers

Answer:

[tex]f(x) = 6x^2 - 11x + 4[/tex]

[tex]g(x) = 3x - 4[/tex]

[tex]q(x) = 2x - 1[/tex]

Step-by-step explanation:

Represent the two polynomials with [tex]f(x)[/tex] and [tex]g(x)[/tex]

Let

[tex]f(x) = 6x^2 - 11x + 4[/tex]

[tex]g(x) = 3x - 4[/tex]

The quotient of two polynomial is the result of division between the two polynomials

Let q(x) represent the quotient polynomial

[tex]q(x) = \frac{f(x)}{g(x)}[/tex]

Where g(x) is the divisor

[tex]q(x) = \frac{6x^2 - 11x + 4}{3x - 4}[/tex]

Factorize the numerator

[tex]q(x) = \frac{6x^2 - 3x - 8x + 4}{3x - 4}[/tex]

[tex]q(x) = \frac{(3x -4)(2x - 1)}{3x - 4}[/tex]

[tex]q(x) = 2x - 1[/tex]

Notice that: q(x) and g(x) have the same degree of 1

Whats 1+1 ? I need help ASAP im rlly confused

Answers

Answer:

2

Step-by-step explanation:

hold one finger up, and add another, then count how many fingers you have

Answer:

2

Step-by-step explanation:

If 3x = 27, then x =

Answers

Answer:

x = 9

Step-by-step explanation:

3x = 27

3/3x = 27/3

x = 9

All 60 students in the seventh grade must choose a fall sport in which they will participate. If 2/5 of them choose volleyball, 25% of them choose soccer, and the remainder choose softball, how many students choose softball?

Answers

Answer:

21

Step-by-step explanation:

24 play volleyball

15 play soccer

Softball= 60-(24+15)=21

or

2/5 = 40%

100% -(40+25)= 35%

60x0.35=21

the mean number of goals scored is 2.5 the mean number of away goals scored is 1.8 how many home and away games have been played in total

Answers

Hey its, 4 months ago

work out 6d + 8 = 14 + 3d

Answers

In 6d + 8 = 14 + 3d , D=2

Isolate the variable by dividing each side by factors that don't contain the variable.

Reduce each fraction below 6/6= 10/2= 2/6=

Answers

Answer:

6/6 = to 1

10/2=to 5

2/6= to 1/3 or 0.3333333333

Step-by-step explanation:

6/6 divide by 1

10/2 10 divide by 2

2/6 reduce to 1/3 or o.3333333333

(6.42)-(-3.2) Btw I need to show my work...

Answers

Answer:

9.62

Step-by-step explanation:

Simplify the expression.

(6.42)+(-3.2)= 9.62

HELP ME PLS
A media research survey showed that one evening, 2/3 of all U.S. households had their televisions on, and 3/8 of them were watching a World Series baseball game. What fraction of the U.S. households was watching the game?

Answers

Answer:

sfhjty

Step-by-step explanation:

Solve the equation
-4(-3+2p) = -2(6p - 1).
Need help fast please

Answers

Answer:

-2.4

Step-by-step explanation:

distribute the -4 and -2

add 12p to both sides

subtract 12 from both sides

divide

Solving equations to find angle measure

Show work please

Answers

Step-by-step explanation:

2x + 1 + x - 13 = 180° because these angles are supplementary

3x - 12 = 180°

3x = 180 + 12

3x = 192 divide both sides by 3

x = 64

2x + 1 ➡ 2 × 64 + 1 = 129°

x - 13 ➡ 64 - 13 = 51°

a saline solution has a concentration ratio of 2.5mg of salt in 100ml of solution. How many mg of salt will be needed to produce 500ml of a saline solution having the same concentration?

Answers

Answer:

12.5mg

Step-by-step explanation:

500ml÷100ml= 5

2.5mg×5= 12.5mg

Perform matrix subtraction to find the values of w,
x, y, and z.

Answers

Answer:

w = ⇒ 21

x = ⇒ 13

y = ⇒ -11

z = ⇒ -16

Step-by-step explanation:

The value of the matrix will be   [tex]\left[\begin{array}{ccc}w &x&\\y&z\end{array}\right] = \left[\begin{array}{ccc}21&13&\\5&-16\end{array}\right][/tex]

What is the matrix?

A matrix is a rectangular array of numbers that are arranged in rows and columns. The numbers are referred to as the matrix's elements or entries. Engineering, physics, economics, and statistics, as well as various disciplines of mathematics, all use matrices.

[tex]=\left[\begin{array}{ccc}17&12&\\-3&-2\end{array}\right] - \left[\begin{array}{ccc}-4&-1&\\8&14\end{array}\right][/tex]

 

[tex]\left[\begin{array}{ccc}w &x&\\y&z\end{array}\right] = \left[\begin{array}{ccc}21&13&\\5&-16\end{array}\right][/tex]

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On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1°. He plans to use the function C of F = five-ninths (F minus 32) to convert this temperature from degrees Fahrenheit to degrees Celsius. What does C(76.1) represent?

Answers

Answer: the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius

Step-by-step explanation:

Answer:Aka) A

Step-by-step explanation:

WORTH 85 POINTS!!
explain in FULL sentences!!!

A student conducted an experiment to test whether talking to plants would help them to grow faster. He set up the following two groups: Group 1: spoken to and hand watered Group 2: not spoken to and hand watered After three weeks, the plants in Group 1 showed much more growth than those in Group 2.

Name the independent and dependent variable.

Answers

Answer: Group 1 is the dependent variable, and group 2 is the independent

Step-by-step explanation: The dependent variable is the variable that is being measured or tested in an experiment. So, Group 1 would be the dependent variable, because as it says the the group 1 plants were spoken to and hand watered as in they changed the outcome of the experiment.

The independent variable is the variable the experimenter changes or controls. So, the independent variable would be group 2 because the group 2 plants outcome was not determines anything but it's self.

Please hurry! :) Its a get more math question.

Answers

The sales price is 44. 37 dollars.

Answer: $44.37

Step-by-step explanation:

63.38 x 30/100 (or x 0.3)

You save: $19.01

$63.38 - $19.01 = Final price of $44.37

4(2x – 8) = 3(2 – Зх)​

Answers

8x-32=6-9x
8x+9x=6+32
17x=38
x=38/17

find the length of the missing side

a) 17 cm
b) 22 cm
c ) 15 cm
d) 13 cm

Answers

a^2 + b^2= c^2
5^2 + 12^2= c^2
25 + 144= 169
/169= 13

The answer is D

The missing side of the triangle is measure 13 cm.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Two sides of right triangle are,

⇒ 5 cm, 12 cm

Since, The triangle is a right triangle.

So, We can apply the Pythagoras theorem as;

Let the measure of missing side = x

⇒ x² = 5² + 12²

⇒ x² = 25 + 144

⇒ x² = 169

⇒ x = √169

⇒ x = 13 cm

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What is 4,672.183 rounded to the nearest hundredth?​

Answers

4672.18 is the answer

Answer:

The correct answer is 4,672.18.

Step-by-step explanation:

To solve this problem, we must look at the number we are given and determine what numbers are in which places.  The 4 is in the thousands place, the 6 is in the hundreds place, the 7 is in the tens place, the 2 is in the ones place, the 1 is in the tenths place, the 8 is in the hundredths place, and the 3 is in the thousandths place.  

The question asks us to round to the nearest hundredth, so this means that the number in the hundredths place should be the final digit.  In the number given, the number 8 is in the hundredths place.  Since the following digit (3) is less than 5, we round down and keep the 8 in the hundredths place.  This makes our answer 4,672.18.

Hope this helps!

ANSWER ASAP FOR QUIZ

Answers

You must try to remove one of the unknown variables from the system by multiplying one in a way that when adding (or subtracting) one to another “makes it disappear” and so whatever value you get can be substituted back in to get the other unknown!
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