An empty bathtub is filled at a constant rate of 8 gallons per minute. The bathtub will hold 36
gallons of water when full. The volume. V. of water in the bathtub is a function of t. the time
in minutes.
Which is the best description for the domain of the function V?

Answers

Answer 1

Answer:

0 ≤ t ≤ 4.5.

Step-by-step explanation:

Since the volume of the tub, V is increasing at a rate of 8 gallons per minute, the volume of the bathtub at any time, t is V = 8t.

Now, to find the domain of the function, V, we know that the minimum value for V is zero and the maximum value is 36. Now, at V = 0,

V = 8t

0 = 8t

t = 0 and at V = 36 gallons,

V = 8t

36 = 8t

t = 36/8

t = 4.5 minutes

Since 0 ≤ V ≤ 36, 0 ≤ t ≤ 4.5.

So, the domain of the function V is 0 ≤ t ≤ 4.5.


Related Questions

Identify proportional relationships
Does the following table show a proportional relationship between the variables g and h?
g
3
6
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Answer:

sure easy man the carrot is blue and green and orange there naswer soled

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Answer:

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Step-by-step explanation:

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48ft

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Laura bought some books. She spent a total of $71 after a discount of $5 off of her total purchase. Each book cost $4. How many books did she buy?


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Answer:

19. books

Step-by-step explanation:

thats a lot

Answer:

19 books

Step-by-step explanation:

4b-5=71

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Answer:

y=3x

Step-by-step explanation:

Answer:

im sure its y=3x

Evaluate -5-15+4+15−5−15+4+15minus, 5, minus, 15, plus, 4, plus, 15.

Answers

Answer:

-2

Step-by-step explanation:

ur welcome

-1

Step-By step Explanation:

1 block: 19 houses = 20 blocks:???? Houses?

Answers

Answer:

380

Step-by-step explanation:

as 1 block =19 houses

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Answer: 380

Step-by-step explanation: 19 x 20 = 380

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Step-by-step explanation:

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Which line is parallel to y = -5/2x - 7?*
O 2x + 5 y = -5
O 2x - 5 y = 30
O 5x + 2y = 4
O 5x-2y = 8

Answers

Answer:

the answer is

5x + 2y = 4

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Answer:

pfft no lol

Step-by-step explanation:

yeah no

have a good day!  :)

plz give me brainliest

Answer:

yes

Step-by-step explanation:

i think,because it goes past the center it all

Ron measured his garden to be 12‘ x 8 1/3‘. He plant vegetables in 3/4 of his garden. What is the area of his vegetable garden?

Answers

Answer:

4/4

Step-by-step explanation:

Hope this helped have an amazing day!

[tex]\sqrt{x + 12} = x+5[/tex]

Answers

We can solve the equation that has square root by completing the square (The purpose is to get rid of the square root.)

From [tex]\sqrt{x+12}=x+5[/tex]

Completing the square for both sides.

[tex](\sqrt{x+12})^2=(x+5)^2\\x+12=x^2+10x+25\\x^2+10x+25-x-12=0\\x^2+9x+13=0[/tex]

Because this polynomial cannot be factored. We have to use the Quadratic Formula to solve the equation.

[tex]x=-\frac{b±\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-9±\sqrt{9^2-4(1)(13)} }{2}\\x=\frac{-9±\sqrt{81-52} }{2}\\x=\frac{-9±\sqrt{29} }{2}[/tex]

But from the graph, the radical function graph doesn't intercept y = x+5 at (-9+√29)/2

Therefore, the answer is (-9-√29)/2

Also Ignore A' in the Quadratic Formula. It appears there whenever I want to put "plus-minus" symbol in the formula.

a soup recipe calls for 1 1/2 quarts of vegetable broth and 3/4 quart of chicken broth. what is the total number of cups of chicen broth and befetable broth needed for yhe soup revipe?

Answers

Answer:

2 3/4 - 1/2 = 2 6/8 - 4/8 = 2 2/8 = 2 1/4

Step-by-step explanation:

Question is in Screenshot/Attachment! Hurry pls.

Answers

Answer:

[tex] y = 6x + 2 [/tex]

Step-by-step explanation:

To write a linear function to represent the situation in the form of y = mx + b, we need to find,

m = slope of the graph

b = y-intercept or starting value

✔️Finding slope (m) using two points on the line, (0, 2) and (1, 8):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{8 - 2}{1 - 0} = \frac{6}{1} = 6 [/tex]

y-intercept (b) = 2 (i.e the value of y when x = 0, which is the starting value oflr the point where the line intercepts the y-axis)

Substitute m = 6, and b = 2 in [tex] y = mx + b [/tex]

[tex] y = 6x + 2 [/tex]

-2.5(4w-4)= -6 and check​

Answers

Answer:

y=60

Step-by-step explanation:

Steven needs to unload a truck containing boxes filled with video consoles. He wants to determine the time required to unload the truck. Which quantity will help Steven to determine the time required?

Answers

Answer:

the last one

Step-by-step explanation:

Find x in the equation?

Answers

Its 9cm do not mind the K.E (top answer).

Write an equivalent expression. 2 + 4(c + 7)
A) 4c + 9
B) 30 + 4c
C) 6c + 9
D) 15 + 4c

Answers

2 + 4 (c + 7)
2 + 4c + 28
combine liked terms
4c + 30

Answer:
B) 30 + 4c

Which function is represented by this graph

Answers

y=-1/2x +3 it's last one

sophia used 1/10 of a liter of water to fill 1/4 of a fish aquarium. How much water, in liter is required to fill the aquarium?​

Answers

Answer:

4/10 of a liter

Step-by-step explanation:

if 1/10 of a liter fills 1/4 of the aqauium then your ratio is .1:.25 out of 100 so

100/25=4

what is the relationship of the angles

Answers

Answer:

Alternate Interior Angles

Answer:

a

Step-by-step explanation:

god please help me i’ve been stuck on this problem for hours and i’m so hungry:(

Answers

Answer:

B

Step-by-step explanation:

u should go eat

Answer:

A)

because it passes the line twice instead of once

(fuctions only cross once)

hope that helped you:)

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Which of the three ordered pairs represent the
unit rate?
(1,4)
(3, 12)
(2,8)

Answers

Answer:

(1,4)

Step-by-step explanation:

That's the rate that each coordinate point goes up by as well as it's the first point in the table

What is 3×7×7×7×7 using index notation

Answers

Answer: 3 x 7^4

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Step-by-step explanation:

which of the following is a characteristic of the circumcenter of a triangle? multi-choice. A. it is the center of the only circle that can be inscribed in the triangle. , B. it is the center of the circle that can be inscribed in given a given triangle. C. it is the center of the only circle that can be circumscribed about the triangle. D. it is equidistant from all three sides of the triangle.

Answers

Answer:

C

Step-by-step explanation:

The circumcenter is called ”the circumcenter” because it is the center of the circle that ”circumscribes” the triangle.

I hope this helps!

Further explanation:

For a circle to circumscribe something, it circles it so that each of the vertices are on the circle, so each of the vertices are equidistant from the circumcenter. The circumcenter of a triangle is formed by the perpendicular bisectors of its sides.

Side note:

The rest of the choices describe an incenter.

1- The Canada Urban Transit Association has reported that the average revenue per passenger trip during a given year was $1.55. If we assume a normal distribution and a standard deviation of 5 $0.20, what proportion of passenger trips produced a revenue of Source: American Public Transit Association, APTA 2009 Transit Fact Book, p. 35.
a. less than $1.55?
b. between $1.15 and $1.95? c. between $1.35 and $1.75? d. between $0.95 and $1.55?

Answers

Answer:

0.5

0.9545

0.68268

0.4986501

Step-by-step explanation:

The Canada Urban Transit Association has reported that the average revenue per passenger trip during a given year was $1.55. If we assume a normal distribution and a standard deviation of 5 $0.20, what proportion of passenger trips produced a revenue of Source: American Public Transit Association, APTA 2009 Transit Fact Book, p. 35.

a. less than $1.55?

b. between $1.15 and $1.95? c. between $1.35 and $1.75? d. between $0.95 and $1.55?

Given that :

Mean (m) = 1.55

Standard deviation (s) = 0.20

a. less than $1.55?

P(x < 1.55)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.55 - 1.55) / 0.20 = 0

p(Z < 0) = 0.5 ( Z probability calculator)

b. between $1.15 and $1.95?

P(x < 1.15)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.15 - 1.55) / 0.20 = - 2

p(Z < - 2) = 0.02275 ( Z probability calculator)

P(x < 1.95)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.95 - 1.55) / 0.20 = 2

p(Z < - 2) = 0.97725 ( Z probability calculator)

0.97725 - 0.02275 = 0.9545

c. between $1.35 and $1.75?

P(x < 1.35)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.35 - 1.55) / 0.20 = - 1

p(Z < - 2) = 0.15866 ( Z probability calculator)

P(x < 1.75)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.75 - 1.55) / 0.20 = 1

p(Z < - 2) = 0.84134 ( Z probability calculator)

0.84134 - 0.15866 = 0.68268

d. between $0.95 and $1.55?

P(x < 0.95)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (0.95 - 1.55) / 0.20 = - 3

p(Z < - 3) = 0.0013499 ( Z probability calculator)

P(x < 1.55)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.55 - 1.55) / 0.20 = 0

p(Z < 0) = 0.5 ( Z probability calculator)

0.5 - 0.0013499 = 0.4986501

What is (8 - i) + (5 + 7i)?
O (A) 3 - 8i
O (B) 8i - 3
O (C)-5i
O (D) 13 + 61

Answers

Answer:

13 + 6i

Step-by-step explanation:

expand the brackets (basically drop them), then rearrange the numbers (8 + 5 + 7i - i) then you will get your answer.

George is standing at the end of a 72 ft shadow cast by a tall building. The angle of elevation to the top of the tall building is . What is the height of the building?

Answers

Answer:

Errm please where is the angle of elevation

I think there should be an angle before we can find the height of the building

The height of the building is 44.91 feet

What are trigonometric identities?

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Given that George is standing at the end of a 72 ft shadow cast by a tall building. The angle of elevation to the top of the tall building is 34.

Therefore we have;

tan ° A = opposite / adjacent

° A = 31;

The adjacent (height) = 72 ft

Now replacing;

tan 34 ° = x / 72

x = tan 34 ° ( 72)

x = 44.91

Therefore, the height of the building is 44.91 feet

Learn more about trigonometric;

https://brainly.com/question/21286835

#SPJ2

Which math expression means "33 more than an unknown number"?
O A. 33. x
O B. X-33
O C. X+33
O D. X=33

Answers

C is the answer it’s supposed to be X+33

What is the standard deviation of the data set {2,1,1,2,2,3}?

Answers

Answer:

0.687

Step-by-step explanation:

step 1:  find mean of 6 data values (should be 11/6)

step 2:  find the difference of the mean and each of the six data values

step 3: square each of those six differences

step 4:  find the mean of the squared values (should be 102/216)

step 5:  take the square root of 102/216

Answer:

0.6

Step-by-step explanation:

i just took the test

HELP IS FOR TODAY EXERCISE 2 SIMPLIFY FRACTIONS

Answers

Answer:

Do u have English version?

Step-by-step explanation:

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