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, measure in days.

Calculate the average rate of change for 0 greater or equal to t and 4 is greater or equal to t.

Answers

Answer 1

Answer:

[tex]\approx[/tex] -2.195

Step-by-step explanation:

Given the function:

[tex]d(t)= 12 (.72) ^ t[/tex]

[tex]d[/tex] is the depth of water in feet and

[tex]t[/tex] is the amount of time

To find:

The average rate of change for [tex]t[/tex] in the interval [0, 4].

Solution:

The required rate of change in the time interval [0, 4] can be represented as:

Change in the function over the interval [0, 4] and the change in the interval.

OR

[tex]\Rightarrow \dfrac{d(4)-d(0)}{4-0}\\\Rightarrow \dfrac{12 (.72) ^ 4-12 (.72) ^ 0}{4-0}\\\Rightarrow \dfrac{3.22-12 \times 1}{4}\\\Rightarrow \dfrac{3.22-12}{4}\\\Rightarrow \dfrac{-8.78}{4}\\\Rightarrow \bold{-2.195}[/tex]


Related Questions

Write a recursive rule for the sequence 10, 18, 26, 34….

Answers

Answer:

42

Step-by-step explanation: It keeps going up by 8

Kevin ate 2/3 of a pizza and Louisa ate 1/12 of the same pizza. How
much pizza is left? *

Answers

Answer:

7/12

Step-by-step explanation:

multiply 2/3 by 4 on both the numerator and denominator which is 8/12

8/12-1/12=7/12 (final answer because it cannot be simplified)

Which shape has six square, flat sides that are equal in size?

Answers

Answer: cube

Step-by-step explanation:

Think of a box .... it has 4 sides, a top, and a bottom = 6 total sides

Which of the following statements are true for a rhombus? It has two pairs of parallel sides. It has two pairs of equal sides. It has only two pairs of equal sides. Two of its angles are at right angles. Its diagonals bisect each other at right angles. Its diagonals are equal and perpendicular. It has all its sides of equal lengths. It is a parallelogram. It is a quadrilateral. It can be a square. It is a square.

The perimeter of a triangle is 59 cm. The first side is 7 cm shorter than the second side. The third side is 4 cm less than twice the length of the first side. Find length of each side

Answers

Given:

The perimeter of a triangle is 59 cm.

The first side is 7 cm shorter than the second side.

The third side is 4 cm less than twice the length of the first side.

To find:

The length of each side.

Solution:

Let x be the second side.

Then, according to the question,

First side = x-7

Third side = 2(x-7)-4

Perimeter of a triangle is the sum of all of its sides.

[tex](x-7)+x+(2(x-7)-4)=59[/tex]

[tex]x-7+x+2x-14-4=59[/tex]

[tex]4x-25=59[/tex]

Add 25 on both sides.

[tex]4x=59+25[/tex]

[tex]4x=84[/tex]

Divide both sides by 4.

[tex]x=21[/tex]

Now,

First sides =21 - 7=14 cm

Second side = 21 cm

Third side = 2(14)-4 = 24 cm

Therefore, the three sides of triangle are 14 cm, 21 cm and 24 cm respectively.

Mr.marquez had 123 eggs in a refrigerator in his restaurant he put 32 more cartons of eggs in the refrigerator each carton contained 18 egg which if these is the best estimate of the number of eggs mr Marquez now has in his refrigerator

Answers

32*18= 576 eggs + 123 eggs

Answer= 699 eggs

Pls let me know in 5 min or I’m dead

Answers

Answer:

( 0 , 4 )

Step-by-step explanation:

Your estimate is correct

Answer:

(-1, 6)

Step-by-step explanation:

sub the points into the equation if LHS and RHS are equal to each other, it is correct

The order pairs (1, 2), (2, 5), (3, 10), (4, 17), and (5, 26) represent a function. What is a rule that could represent this function?

A. y = x2 + 1
B. y = x2 − 1
C. y = x2
D. y = x + 1

Answers

Answer:

The answer is A

Step-by-step explanation:

1 to the second power is 1 + 1 = 2

2 to the second power is 4 + 1 = 5

3 to the second power is 9 + 1 = 10

4 to the second power is 16 + 1 = 17

5 to the second power is 25 + 1 = 26

y = x² + 1 is a rule that could represent the given function.

Given that,
The order pairs (1, 2), (2, 5), (3, 10), (4, 17), and (5, 26) represent a function, what is a rule that could represent this function is to be determined.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
While observing the pattern of pair it is found that every ordinate is 1 more the square of its abscissa, so the general equation for the function is given as,
y = x² + 1

Thus,  y = x² + 1 is a rule that could represent the given function.

Learn more about function here:

brainly.com/question/21145944

#SPJ2

Determine the mass of an object, if it requires a force of 6,000 kg: m/s2 to accelerate at the rate of 2 m/s^2

Answers

Answer:

The answer is 3000 kg

Step-by-step explanation:

The mass of an object can be found by using the formula

[tex]m = \frac{f}{a} \\ [/tex]

f is the force

a is the acceleration

From the question we have

[tex]m = \frac{6000}{2} \\ [/tex]

We have the final answer as

3000 kg

Hope this helps you

[tex] \boxed{ \red{AnswEr:-}}[/tex]

Mass = 3000 kg

GivEn :-

Force = 6000 kg • m/s^2Acceleration = 2 m/s^2

To Find :-

The value of mass

Solution :-

From Newton's 2nd law of motion we get the equation,

[tex]{ \boxed{ \red{ \sf{F =

m \times a}}}}[/tex]

where,

F = Force m = mass of the objecta = acceleration

[tex] \implies \sf \: m = \dfrac{F}{a} [/tex]

Putting the values,

[tex] \implies \sf \: m = \dfrac{6000}{2} [/tex]

[tex] \implies \red{\sf \: m = 3000}[/tex]

Therefore, mass of the object = 3000 kg

Could anyone help please?

Answers

Answer:

9.6 or round it to 10

Step-by-step explanation:

brainliest pls

What is 75% of 80?
A.
20
B.
45
C.
60
D.
75

Answers

Answer:

the answer is C. 60 .....

Answer:

C 60 is the answer

Step-by-step explanation:

75x80 divided by 100= 60

   

8x+2 factored using the GCF.

My friend is wondering this, I have seen responses but like all are different. Please help!

7th grade math.

Answers

Answer:   2(4x+1)

Explanation:

For now, ignore the x.

The GCF of 8 and 2 is 2 since 2 is a factor of both

2 = 2*1

8 = 2*4

So if we had 8+2 we can factor 2 out like so to get 2*(4+1)

Notice that I divided each term by 2 when going from 8+2 to 4+1. Then I stuck a 2 outside. You can use the distributive property to check the result.

Similarly,

8x+2 = 2(4x+1)

which you can also check using the distributive property.

16) Find the surface area of a square pyramid: square base is 3 centimeters by 3 centimeters and the slant
height is 4.6 centimeters.

Answers

Answer:

73.2 cm

Step-by-step explanation:

area = 2 bases + 4 sides

area = 2× 3×3 + 4× 3×4.6

area = 2×9 + 4×13.8

area = 18 + 55.2

area = 73.2 cm

Helppp will mark brainliestttt

Answers

The set of ordered pairs represents a function because every input has only one corresponding output.

If there are 3 apples for every 4 oranges, how many apples would you have if you had 20 oranges?

Answers

Answer:

6 Apples

Step-by-step explanation:

There would be six apples and 2 oranges left over.

Hope this Helps!

:D

Answer:

I was kind of confused on this one but is it 15 apples?

Step-by-step explanation:

3, 6, 9, 12, 15

4, 8, 12, 16, 20

I think the answer is 15 apples.

Which equation has the steepest graph?
a) y = 8x - 6
b) y = 3x + 7
c) y = -9x - 1
d) y = 42 x + 10
30 POINTS!
plz i need help ASAP

Answers

D. y = 42x + 10

This is because the gradient is the largest in this one :)

The table shows the results of a survey of 200 randomly selected people on whether they like watermelon,
cantaloupe, or both.
Which is the marginal relative frequency for the people who do not like cantaloupe?

A. 25/91
B. 66/200
C. 91/200
D. 66/91

Answers

Answer:

C

Step-by-step explanation:

Marginal relative frequency for the people who do not like cantaloupe is 0.455

or

91/100

Answer:

C is correct

Step-by-step explanation:

Which angles are vertical angles?

Answers

Answer:

T and Q

Step-by-step explanation:

It is right

Answer:

<STQ and <UTV

Step-by-step explanation:

Problem D: PRABG4G2
Which one doesn't belong? Explain your reasoning.
A. 5 miles in 15 minutes
B. 3 minutes per mile
C. 20 miles per hour
D. 32 kilometers per hour

Answers

Answer:

D.

Step-by-step explanation:

angle of elevation and depression​

Answers

Answer:

Solved Examples on Angle of Depression: 1. From the top of a tower, a man finds that the angle of depression of a car on the ground is 30°. If the car is at a distance 40 metres from the tower, find the height of the tower.

Step-by-step explanation:

What is the slope of this line?

y+2=−2(x−3)

Answers

Answer:

-2

Step-by-step explanation:

The final equation is y= -2x+4, so the slope is -2

Answer:

The slope is -2

Step-by-step explanation:

This equation is in point slope form

(y-y1) = m(x-x1)  where m is the slope and ( x1,y1) is a point on the line

y+2=−2(x−3)

y- -2=−2(x−3)

The slope is -2 and a point on the line is ( -3,-2)

In a survey of 2,200 people who owned a certain type of​ car, 880 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?
*blank*% of the people surveyed were satisfied with the car.

Answers

Answer:

40%

Step-by-step explanation:

Given parameters:

Number of people surveyed  = 2200

Number of people who said they would buy the car again  = 880

Unknown:

The percentage of people satisfied with the car  = ?

Solution:

The percentage of people satisfied with the car purchase can be determined using the expression below:

Percentage of people satisfied  = [tex]\frac{Number of people who said they would buy the car again}{Number of people surveyed} x 100[/tex]

Percentage of people satisfied  = [tex]\frac{880}{2200}[/tex]  x 100  = 40%

Please help will give brainliest if its correct

Answers

Answer:

radius squared

Step-by-step explanation:

Anthony read 46 pages of a book in 23 minutes.

To find the unit rate, use
.
Anthony read
pages per minute.

Answers

Answer: Anthony read 2 pages per minute.

Step-by-step explanation:

Answer: 2 pages/ 1 minute or (2 pages per minute)

Step-by-step explanation: To find the unit rate for how many pages of a book Anthony finds in 23 minutes, you’ll have to divide 46 by 23, which gives you a final result of 2 pages/ 1 minute or (2 pages per minute).

The hypotenuse of a right triangle is 8.2 inches long and one of the legs is 6.4 inches long. What is the length of the other leg?

Answers

Answer:

5.1

Step-by-step explanation:

To solve this equation I will use the formula a²+b²=c². For these terms I will represent the missing value as the variable a. The equation should be renewed as this: a²+6.4²=8.2², simplified: a²+40.96=67.24. I will now subtract 40.96 from 67.24 to get "a" by itself, as of which now I have a²=26.28. Next I square root both values: √a² =√26.28. The final answer is "a"= 5.1264022471905, otherwise, when rounded, "5.1". Hopefully this helps. A word of advice, when a problem gives you two values for a triangle, always refer to the equation a²+b²=c², as you will always find the missing value. Also remember that the legs cannot be of greater value than the hypotenuse which is the diagonal line. The hypotenuse is always "c".

Use the equation p= 8.31/v where p = pressure and V = volume.

What happens to the pressure as the volume approaches 0? Explain your reasoning.

Answers

Answer: pressure increases

Step-by-step explanation:

because Boyle's law states that pressure and volume have an inverse relationship, if we decrease volume the pressure will increase.

Another explanation: since volume approaches 0, we're dividing by a smaller number, and doing this gives us a larger value for pressure

Answer:

The pressure approaches infinity.

The function is undefined for V = 0.

There is an asymptote at V = 0.

Step-by-step explanation:

Exact answers for edge

Allison has a $35 budget for the county fair. She spends $15 at a craft booth and she wants to buy some kettle corn for her friends that cost $4 for each bag.
Let x = number of friend's

Answers

Answer: she can buy it for 5 friends

Step-by-step explanation:

$35(budget)- $15(craft booth) =$25

then $25 divided by $4 equals 5

So 5 people she can but for.

sina=3/5 find cos2a​

Answers

Answer:

[tex] \huge \purple{\therefore \cos2a} \orange{= }\red{\frac{7}{25} } [/tex]

Step-by-step explanation:

[tex] \because \cos2a =1 - 2 { \sin}^{2} a \\ \\ \therefore \cos2a =1 - 2 \bigg( { \frac{3}{5} }\bigg) ^{2} \\ \\\therefore \cos2a =1 - 2 \times \frac{9}{25} \\ \\\therefore \cos2a =1 - \frac{18}{25} \\ \\\therefore \cos2a = \frac{25 - 18}{25} \\ \\ \huge \purple{\therefore \cos2a} \orange{= }\red{\frac{7}{25} } \\ \\[/tex]

Two friends tried to rewrite the expression 12 + 20 using the distributive property. Which friend is correct? Explain.

Ahmad: 6(3+7)

Deena: 4(3+5)

Answers

Answer:

Deena

Step-by-step explanation:

I WILL GIVE BRAINLIEST

Answers

Answer:

it should be b but if i'm wrong im really sorry :(

Step-by-step explanation:

C is the correct answer

Which statement is true about 1?
A. It is a prime number.
B. It is a composite number.
C. It is a whole number that is neither prime nor composite.
D. It is not a whole number.
Please dont be greedy and answer the question saying something like "i have no idea" Thanks

Answers

Answer:

C. It is a whole number that is neither prime nor composite.

Step-by-step explanation:

A prime number is a number that has two factors: one and another number. Thus, since 1 only has one factor (itself), it cannot be a prime number.

However, a composite number must have more than two factors, which 1 doesn't have either.

Since 1 is a whole number (not a decimal or fraction), and it is neither prime nor composite, the answer would be C.

Have a nice day!

Answer:

C!

Step-by-step explanation:

hope it helped

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