The level of water in a draining pool can be modeled with the function d(t)=12(.72)^t, where d is the depth of water, measured in feet, and t is the amount of time it's been draining, measured in days. Inayah claims that the pool is draining at a rate of 1.36%per hour. Is she correct? Explain

Answers

Answer 1

Answer:

She is not correct, the claim is wrong

Step-by-step explanation:

Here, we want to check if a claim

made is correct

We can represent the exponential function as;

y = I( 1 - r)^t

So in this case;

1 - r = 0.72

r = 1 - 0.72

r = 0.28

This is same as 28%

So what this mean is that we expect a decrease of 28% per day

There are 24 hours on a day

So the decrease per hour will be 28%/24 = 1.167%

So as we can see the claim is wrong

Answer 2

The model of the level of water in a draining pool is an illustration of an exponential function.

Inayah's claim is incorrect, because the water drains at 28% per hour

The function is given as:

[tex]\mathbf{y = 12(.72)^t}[/tex]

An exponential function is represented as:

[tex]\mathbf{y = a(1 - r)^t}[/tex]

Where r represents the rate.

So, by comparison

[tex]\mathbf{1 - r = 0.72}[/tex]

Collect like terms

[tex]\mathbf{- r = 0.72 - 1}[/tex]

[tex]\mathbf{- r = -0.28}[/tex]

Multiply both sides by -1

[tex]\mathbf{r = 0.28}[/tex]

Express as percentage

[tex]\mathbf{r = 28\%}[/tex]

This means that, the water drains at 28% per hour

Hence, Inayah's claim is incorrect

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Related Questions

Please solve!
add equation.
Will Name Brainliest!!!!

Answers

Answer= $1.20

Step by step explanation-
7x+3x+2x=$14.40
12x=$14.40
x=14.40/12
x=$1.20
A pack of bracelets were $1.20

what is the measurement of the angle???

Answers

180 = full angle of trapezoid

180 - 82 - 82 = 16

Answer: 16

write 28 + 24 as a product of two factors using the GCF and the distributive property

Answers

Answer:

4 x 13

Step-by-step explanation:

GCD of 28 and 24 is 4

28 = 4 x 7

24 = 4 x 6

u take the 4 out

4 (7 + 6)

4 x 13

The product of two factors using the GCF and the distributive property is 4(13).

What is the meaning of the greatest common divisor/factor?

The largest integer of highest degree that is an exact divisor of each of two or more integers.

The greatest common divisor of 24 and 28

24=2×2×2×3

28=2×2×7

We can see that the 2 and 2 is common in 24 and 28

The GCD of 28 and 24 is=2×2= 4

For the distributive property we have

28 = 4 x 7

24 = 4 x 6

we take the 4 out

4 (7 + 6)

=4 x 13

Therefore the GCD is 4 and by distributive property product is 4(13).

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I NEED HELP ASAP!!!
Determine the best name for the quadrilateral JKLM. Justify your answer by showing all work and explaining the results of your work.
J ( 2, 4 ), K ( 7 , 4, ), L ( 3, 1 ) and M ( - 2 , 1 )

Answers

Answer:

Parallelogram

Step-by-step explanation:

This is a parallelogram

See the plotted points

Mr. Richard plans to take 25 students on a school trip. They plan to go to Zoo. The bus fee is $100 for the entire trip. Entrance fee is $2.50 per person. How much should each student pay? Note: Mr. Richard does not need to pay.

Answers

Answer:

$162.50

Step-by-step explanation:

+$100

25x2.50= $62.50

+$62.50

100+62.50=162.50

Answer:

Each student should pay $6.50

Step-by-step explanation:

The question is not very clear.

If Mr. Richard has to pay to enter:

Total cost = $100 + ($2.50×26) = $165

Cost per student = [tex]\frac{165}{25}[/tex] = $6.60

Each student should pay $6.60

If Mr. Richard doesn't have to pay to enter:

Total cost = $100 + ($2.50×25) = $162.5

Cost per student = [tex]\frac{162.5}{25}[/tex] = $6.50

Each student should pay $6.50

If f(x) = x³ - 2, find f(3). 25 24 26 20

Answers

Answer:

[tex]A.) 25[/tex]

Step-by-step explanation:

[tex]f(3)[/tex] means that the value of x is 3. Insert this into the equation for x, but DO NOT insert the value into f(x). To not get confused, remember that f(x) is basically y. You can insert y into the equation to not get mixed up:

[tex]f(x)=(3)^3-2\\\\or\\\\y=3^3-2[/tex]

Now simplify the equation, starting with exponents (PEMDAS):

[tex]x^3=x*x*x\\\\3*3*3\\\\9*3=27\\\\f(x)=27-2\\\\or\\\\y=27-2[/tex]

Simplify subtraction:

[tex]27-2=25\\\\f(x)=25\\\\or\\\\y=25[/tex]

:Done

Anne is choosing a contractor. She has narrowed down her selection to two companies and will base her decision on the likelihood that the job is done on time and on budget. Which contractor should Anne choose to maximize the probability that the job will be done on time and on budget?

Answers

Answer:

I think it should be contractor B

Answer: a

Step-by-step explanation:

Use the work shown. Which expression is equivalent to Negative two-thirds y minus three-fifths x + StartFraction 2 over 9 EndFraction minus four-fifths x + one-third y? y minus four-fifths x + StartFraction 2 over 9 EndFraction minus two-thirds y minus one-fifth x Negative y minus four-fifths x + StartFraction 2 over 9 EndFraction + two-thirds y + three-fifths x One-third y minus StartFraction 7 over 5 EndFraction x + two-thirds minus two-thirds y minus StartFraction 4 over 9 EndFraction Two-thirds y minus StartFraction 7 over 5 EndFraction x + StartFraction 2 over 9 EndFraction + y

Answers

Answer:

c

Step-by-step explanation:

Answer:

One-third y minus Start Fraction 7 over 5 End Fraction x + two-thirds minus two-thirds y minus Start Fraction 4 over 9 End Fraction

just to be clear its C i just wanted to look smart hope i helped :)

I need help pls !!!!

Answers

Answer:

See Below

Step-by-step explanation:

Ok, so in this problem you have some vertical angles. These are angles oppisites from each other. Therefore; d = 52, f = ?, and e = 77. All the angles added together will = 360. Let's add up the angles we know and subtract the whole from 360.

52 + 52 + 77 + 77 = ?

104 + 154 = 258

360 - 258 = 102

Since we know that f and the unlabeled angle are the same, we need to divide this total between the two of them.

102/2 = 51

Therefore;

d = 52

e = 77

f = 51

Misha found that the equation –|2x – 10| – 1 = 2 had two possible solutions: x = 3.5 and x = –6.5. Which explains whether or not her solutions are correct?

She is correct, because both solutions satisfy the equation.
She is not correct, because she made a sign error.
She is not correct, because there are no solutions.
She is not correct, because there is only one solution: x = 3.5.

Answers

She is not correct, because there are no solutions.

Explanation: If you isolate the absolute value by adding 1 both sides of the equation, you get -|2x-10|=3. There are no solutions, because the left side of the equation will always be negative and will never equal 3.

She is not correct, because there are no solutions. (Option C).

What is an equation?

An equation refers to any mathematical statement that contains the equality sign. Now we can see in the equation that there is a negative sign before the absolute value.

Now we have;

–|2x – 10| – 1 = 2

–|2x – 10| = 3

This is not possible because the absolute value does not return a negative value and the expression can never equal 3.

Thus, she is not correct, because there are no solutions.

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-3(5x - 7) = -4x + 3(3x + 7)

Answers

Answer:

x = 0

Step-by-step explanation:

Given

- 3(5x - 7) = - 4x + 3(3x + 7) ← distribute parenthesis on both sides

- 15x + 21 = - 4x + 9x + 21 , that is

- 15x + 21 = 5x + 21 ( subtract 5x from both sides )

- 20x + 21 = 21 ( subtract 21 from both sides )

- 20x = 0 , thus

x = 0

What is the difference between these two expressions?
(14 + 9) 4
(14 + 9) 2
(14 + 9) 4 is four times as much as (14 + 9) 2
(14 + 9) 4 is three times as much as (14 + 9) 2
(14 + 9) 4 is half as much as (14 + 9) 2
(14 + 9) 4 is twice as much as (14 + 9) 2

Answers

Answer:

The answer is:

Option 4; (14+ 9) 4 is twice as much as(14 + 9) 2

Thanks

Answer:

Step-by-step explanation:

i

Graph the line that has a slope of 8 and includes the point (0,2).

Answers

Graph the point (0,2). From there go up 8 points and right 1 point. Again, from the point (0,2) go down 8 points and left 1 point. Hope this helps!

The graph for the given slope of 8 and includes the point (0,2) is given below.

Given that, the line that has a slope of 8 and includes the point (0,2).

What is slope of a line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

Substitute m=8 and (x,y)=(0, 2) in y=mx+c, we get

2=8(0)+c

c=2

Put m=8 and c=2 in y=mx+c, we get

y=8x+2

Graph the line using the slope and y-intercept, or two points.

Slope: 8

y-intercept: (0,2)

Coordinate points are (0, 2) and (1, 10)

Hence, the graph for the given slope of 8 and includes the point (0,2) is given below.

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Name
My Homework
Independent Practice
Help
Go online for Step-by-Step Solutions
Find the greatest common factor of each set of numbers. (Sample 2)
1. 8,14
2. 21, 24, 27
3. 21, 35, 49
4. 12, 18, 26
Find the least common multiple of each set of numbers. (Examples 3 and 4)
5. 5 and 6
6. 6 and 9

Answers

Answer:

1. 2

2. 3

3. 7

4. 2

5. 30

6. 18

Step-by-step explanation:

A
SSS
OSAS
HL
AAS
ASA
None

Answers

should be SAS

i think

hope this helps lol

The cake store is having a 25 percent off sale on all of its cakes. If the cake you want reguarly cost 9$, how much would you save with the discount?

Answers

6.75 is the answer hope it helps

Solve for z.
12 = 15(z-1/5

Answers

Answer:

z=  1

Step-by-step explanation:

Rewrite the equation as  

15(z−1/5)z12

Apply the distributive property

15z+15(−1/5)=  12

Cancel the common factor of  5

15z+3*−1=  12

Multiply  3  by  −1

15z−3=  12

Divide each term by  15  and simplify

5z−1  =  4

Since the expression on each side of the equation has the same denominator, the numerators must be equal

5z−1=  4

Move all terms not containing  z  to the right side of the equation

5z=  5

Divide each term by  5  and simplify

z  =  1

Question 1 of 5 Convert 48 inches to feet. There are 12 inches in a foot. O A. 480 feet O B. 576 feet O C. 4 feet O D. 8 feet​

Answers

Answer:

C

Step-by-step explanation:

If you divide 48 by 12 you will get 4 and 4 is your answer

Please help me fast I will give point show how u got it please

Answers

Answer:

Perpendicular is opposite and reciprocal

So it's y = 1/3

C

Step-by-step explanation:

C is the correct answer for this

During the last basketball season, Alice made 320 out of 360 free-throw attempts. Betty made 300 free-throws out of 320 attempts. Cathy made 90% of her free-throws. Denise had an average of 0.913 for successful free-throws.

Which girl had the highest percentage of free throws?

Answers

Vbgc 457799866 ghjc

PLEASE HELP ASAP

Label the parts of the animal and plant cell in this diagram.

Answers

Answer:

no se

Step-by-step explanation:

no se

Find the value of x that makes A || B.

2 = 3x - 20 and 5 = x + 20
x= [?]

Answers

Answer:

20

Step-by-step explanation:

3x-20=x+20

3x-x=20+20

2x=40

x=20

good luck dude

For the two lines A and B to be parallel to each other, the value of x should be equal to 20.

What are corresponding angles?

In literal sense, corresponding means pair wise angles. Like the right corner angles of two triangles etc.

The definition of corresponding angles states that when two parallel lines cross with a third, the angles that occupy the same relative location at each junction are said to be corresponding angles to each other.

As per the given diagram of the parallel lines and the transverse the measure of the angle 2 and angle 5 should be equal, This is because the two angles are corresponding angles. Therefore, we can write,

∠2 = ∠5

3x - 20 = x + 20

3x - x = 20 + 20

2x = 40

x = 20

Hence, for the two lines A and B to be parallel to each other, the value of x should be equal to 20.

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9/6 divided 1/2 can somebody help please

Answers

The answer is 3...........

Answer:

Step-by-step explanation:

[tex]\frac{9}{6}[/tex] ÷ [tex]\frac{1}{2}[/tex] = 3

Find the volume of a sphere with the radius of 10 m.  use 3.14 for pie. Round to the nearest 10th. 

Answers

Answer:

Step-by-step explanation:

Givens

r = 10 m

pi = 3.14

Formula

V = 4/3 * 3.14 * r^3

Solution

V = 4/3  * 3.14 * 10^3

V = 4/3 * 3.14 * 3140

V = 4186.67 m^3

If mr gardener had 185 chocolate kisses and he wants to divide them between his 6 students how many will each student get

Answers

Each will get thirty kisses, and there'll be five left over, unless he has favorite students.

The value of y varies directly with x. If x = 3, then y = 13. Show your work for finding the value of x when y = 39

Answers

Answer:

x = 9 when y = 39

Step-by-step explanation:

To solve this, we will use a proportion, since x varies directly with y, each will increase proportionately to the other.

3 / 13 = x / 39

Step 1: Cross Multiply

13x = 117

Step 2: Divide both sides by 13

13x / 13 = 117 / 13

x = 9

Step 3: Check

3 / 13 = 9 / 39

117 = 117 ✅

x = 9 when y = 39

Evaluate
-4-5+4+(-5)

Answers

Answer:

-10

Step-by-step explanation:

-4 - 5 + 4 + (-5)

-9 + 4 - 5

-5 - 5 =

-10

Answer:

-10

Step-by-step explanation:

the answer is -10

combine the negatives to get -14

and positives to get 4

so you have -14+4=-10

Joey entered a chicken wing eating contest. He ate 160 wings in ten minutes. If
Joey ate the wings at a constant rate, what is the constant of proportionality
relative to this situation?

Answers

Answer:

16

Step-by-step explanation:

160 ÷ 10 = 16 wings per minute

Wings: y

Constant of proportionality: k

Minutes: x

y = kx

y = 16x

Describe the end behavior of a 9th degree polynomial with a negative leading coefficient??

Answers

Answer:

Up left, down right

Step-by-step explanation:

First, polynomials with odd degrees will have end behaviors in two different directions.

Since the leading coefficient is negative, the end behavior will be up left and down right.

So, the end behavior is up left, down right.

The end behavior of a 9th-degree polynomial with negative leading coefficients is up left, downright.

We have to determine

The end behavior of a 9th-degree polynomial with a negative leading coefficient??

What is a negative leading coefficient?

If the leading coefficient is negative and the exponent of the leading term is even, the graph falls to the left and right.

What is the equation of 9th-degree polynomial?

The equation of the 9th-degree polynomial is;

[tex]\rm x^9+3x^8+4x^7+x^6+x^5+9x^3+2x^2+x+1=0[/tex]

The degree of the polynomial is 9 which is odd.

Hence, the end behavior of a 9th-degree polynomial with negative leading coefficients is up left, downright.

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Pls help I will mark brainlist!!!

Answers

Answer It’s b
Explanation
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