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

plz help this is very confusing

Answers

Answer:

[tex] x \ge 15 [/tex]

Step-by-step explanation:

An isosceles ∆ has 2 equal sides. The perimeter of a ∆ is the sum of all its sides.

Given that the perimeter of the triangle above is "at least 137 ft", this means the sum of all its sides is equal to or greater than 137 ft.

Thus, using inequality, this can be represented as:

[tex] 2(2x + 7) + 4x + 3 \ge 137 [/tex]

Solve for x

[tex] 4x + 14 + 4x + 3 \ge 137 [/tex]

Add like terms

[tex] 8x + 17 \ge 137 [/tex]

Subtract 17 from both sides

[tex] 8x + 17 - 17 \ge 137 - 17 [/tex]

[tex] 8x \ge 120 [/tex]

Divide both sides by 8

[tex] \frac{8x}{8} \ge \frac{120}{8} [/tex]

[tex] x \ge 15 [/tex]

Make h the subject of the formula x = 5h + 8

Answers

Answer:

h=(x/5)-8

Step-by-step explanation:

i hope that helps

Formula for h is, h = 1/5 (x - 8).

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The formula is,

⇒ x = 5h + 8

Now, We can solve the formula for h as;

⇒ x = 5h + 8

Subtract 8, we get;

⇒ x - 8 = 5h + 8 - 8

⇒ x - 8 = 5h

Divide by 5;

⇒ 1/5 (x - 8) = h

⇒ h = 1/5 (x - 8)

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16 > 2y - 4 solve for y ​

Answers

Answer: y<10

Step-by-step explanation:

2y<16+4

2y<20

y<10

Answer:

Step-by-step explanation:

Simplifying

16 = 2y + -4

Reorder the terms:

16 = -4 + 2y

Solving

16 = -4 + 2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2y' to each side of the equation.

16 + -2y = -4 + 2y + -2y

Combine like terms: 2y + -2y = 0

16 + -2y = -4 + 0

16 + -2y = -4

Add '-16' to each side of the equation.

16 + -16 + -2y = -4 + -16

Combine like terms: 16 + -16 = 0

0 + -2y = -4 + -16

-2y = -4 + -16

Combine like terms: -4 + -16 = -20

-2y = -20

Divide each side by '-2'.

y = 10

Simplifying

y = 10

Please answer quick

Answers

Answer:

4# 4x2 + 6x - 6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

x^2+2x-5+3x^2+4x-1=4x^2+6x-6=4x^2+6x-6

Hope you'll find it helpfull

Find θ. Round to the nearest degree. Right Triangle Trigonometry.

Answers

Answer:

64 =theta

Step-by-step explanation:

We have a right triangle.

We know the adjacent side and the hypotenuse

adjacent/ hypotenuse = cos theta

7/16 = cos theta

Take the inverse cos of each side

cos ^-1 ( 7/16) = cos ^ -1 cos theta

64.05552023 = theta

64 =theta

Answer:

≅ 64°

Step-by-step explanation:

using rule of cos invers

[tex]Cos^{-1} (\frac{7}{16} )=64.05\\[/tex]

3/4 + 1/12 helppppppppppppppp

Answers

Answer:

The answer is 5/6.

Step-by-step explanation:

Sam's age is 2 years less than 3 times Kim's age. If Kim's age is x years, which expression best shows Sam's age?

x
x − 1
2x − 3
3x − 2

Answers

Answer:

3x - 2

Step-by-step explanation:

3 times Kim's age (x), so 3x; minus 2 years (Sam's age).

Answer:

The answer is 3x - 2  :)

Step-by-step explanation: 3x = 3 times Kim's age (x) minus 2

42. Which of the following is TRUE about the princal square riot
number?
A. always positive
C. sometimes positive
B. always negative
I sometimes negative​

Answers

Answer:

a. always positive

Step-by-step explanation:

Alex learning?

HELP ASAP PLEASE LEAVE SMALL EXPLANATION ITS DUE RLLY SOON

Answers

Answer:

1.  y=3x-4

2. y=-3x+4

3. y= -1/3x+4

4. y= 1/3x-4

Step-by-step explanation:

1. slope= change in y/ change in x

  slope= -1-(-4)/1-0=3

  y=3x+b

 -4=3(0)+b

   b=-4

y=3x-4

2. slope=4-10/0-(-2)= -3

y=-3x+b

b=4

y=-3x+4

3. slope= -1/3

y=-1/3x+b

3= -1/3(3)+b

3= -1+b

b=4

y= -1/3x+4

4. y= 1/3x-4 (last one)

Anyone can answer?? if u can thank u soooo much it means the world to me

Answers

Answer:

Tulips• 7, 14, 21, 28 and 35.

Carnations• 3, 6, 9, 12 and 15.

Other:

Find above the whole number ratio for the tulips and carnations graph. Brainliest? Thanks!

please help me with this one :(​

Answers

Answer:

I can assure you, that this is not that hard. but. I will help you with one of them.

Step-by-step explanation:

audience-look it up in the dictionary

it's basically a crowd of people.

sebtence- I listened to the audio of the audio book.

1 4/7
_______
- 15/ 21​

Answers

Answer: -11/5

Step-by-step explanation:

[tex]\frac{11}{7}[/tex]÷[tex]\frac{-15}{21}[/tex]

-[tex]\frac{11}{7}[/tex]× [tex]\frac{21}{15}[/tex]

-11×[tex]\frac{3}{15}[/tex]

-11 × [tex]\frac{1}{5}[/tex]

Write 5.7% as an equivalent decimal.
O
A 5.7
O
B 0.57
O
C 0.057
D 570

Answers

Answer:

the answer is C

Step-by-step explanation:

[tex]5.7\% = \frac{5.7}{100} = 0.057[/tex]

C. Move the decimal point two places to the left, and that's your answer.


Pls help I’ll mark brainliest

Answers

the awnser is option D
I’m pretty sure it’s D

A basketball player makes 65% of all free throws in her first 5 seasons. In her 6th season she makes 105 out of 150 free throws. How does the observed frequency of her 6th season compare to the expected frequency? Provide a possible explanation for any similarities or differences in the frequencies. 7.50.3.7
(35 points i think)

Answers

If a basketball player makes 65% of all free throws in her first 5 seasons. The observed proportion is higher than the expected proportion, indicating that the player performed better than expected in her 6th season.

What is the observed frequency of her 6th season?

The expected frequency of successful free throws in the 6th season can be calculated based on the player's overall success rate in the first 5 seasons. Since the player made 65% of all free throws in her first 5 seasons, we can expect her to make 65 out of 100 free throws in any given season. Therefore, the expected frequency of successful free throws in the 6th season would be:

Expected frequency = (65/100) * 150 = 97.5

The observed frequency of successful free throws in the 6th season is 105.

To compare the observed and expected frequencies, we can calculate the standardized residual (z-score) as follows:

z-score = (observed frequency - expected frequency) / sqrt(expected frequency * (1 - expected frequency / total sample size))

total sample size = 150

expected frequency = 97.5

observed frequency = 105

z-score = (105 - 97.5) / sqrt(97.5 * (1 - 97.5/150)) = 1.28

The z-score of 1.28 suggests that the observed frequency is 1.28 standard deviations above the expected frequency. This indicates that the player's success rate in the 6th season is higher than what would be expected based on her overall success rate in the first 5 seasons.

Possible explanations for the difference in frequencies could be due to factors such as improvements in the player's technique, changes in the player's physical or mental state, or random variation. It is also possible that the sample size of 150 free throws in the 6th season is not large enough to draw definitive conclusions about the player's success rate in that season.

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I need the answer ASAP, i will give you brainliest FR‼️‼️⁉️

Answers

Answer:

well for me I think

Step-by-step explanation:

+10

T=-4.3+10

T=5.7°C

Write the slope-intercept form of the equation of the line through the given point and slope.

Point: (-1, 2)

Slope: 1.

Answers

Answer:

y=x+3

Step-by-step explanation:

same as the last one =)

What is the solution to the equation x + 14 = 63? (Input a whole number only.) (3 points)

Answers

The answer is:

Substitute 49 for x

49 + 14 = 63

Hope this helps!

Answer:

49

Step-by-step explanation:

49 + 14 = 63

so that means:

x = 49

Nola hiked down a trail at a steady rate for 10 minutes. Her change in elevation was -170 feet. Then she continued to hike down another 20 minutes at a different rate. Her change in elevation for this part of the hike was -260 feet. During which portion of the hike did she walk down at a faster rate?
PLEASE HELP

Answers

If you divide 170 by 10, you get:
170/10 = 17
I turned the -170 into a positive because when you divide them, you get 17 miles per minute, you can’t get -17 miles.
Then, you divide 260 by 20, and you get :
260/20 = 13
So, 17>13
Which means that’s Nola walked faster when she walked for 10 minutes.
I’m pretty sure that this is the answer, hope this helps. Do you mind making this brainliest?

whats 7, −6, 4, −10, 3 least to greatest

Answers

Answer:

-10, -6, 3, 4, 7

Step-by-step explanation:

Hope it helps ^^

A gas tank holds exactly 13 gallons. If the tank is 2/3 empty, how many gallons remain in the tank? (Round your answer to the nearest tenth)
Group of answer choices-

4.3

5.5

6.5

8.7

Answers

The answer is 8.7 gallon

y=-x-4
4y - 2x = 8
Using the graphing method, which of the following choices is the solution of the system:
ОООО
(-6, -2).
(-4, 0)
Infinite solutions
No solution

Answers

Answer:

(-4 , 0)

Step-by-step explanation:

Graph attached

What’s three more than seventeen?

Answers

twenty

hope this helps :)
20! Hope this helps!

Evaluate Ss 15 51 when s =
5 and t = 7.

Answers

Jejsjdjdjdjdjdjdjnejeje

Suppose a normal distribution has a mean of 62 and a standard deviation of
4. What is the probability that a data value is between 57 and 65? Round your
answer to the nearest tenth of a percent.
A.66.8%
B.67.8%
C.69.8%
D.68.8%

Answers

Answer:

0.66772

Step-by-step explanation:

Given that :

Mean (m) = 62

Standard deviation (s) = 4

probability that a data value is between 57 and 65

P(57 < x < 65)

Using the relation :

(x - m) / s

P(x < 57) :

(57 - 62) / 4 = - 1.25

P(Z < - 1.25) = 0.10565 ( Z probability calculator)

P(x < 65) :

(65 - 62) / 4 = 0.75

P(Z < 0.75) = 0.77337 (Z probability calculator)

P(Z < 0.75) - P(Z < - 1.25)

0.77337 - 0.10565 = 0.66772

Answer:

66.8%

Step-by-step explanation:

Just took the test

Estimate the value of y when x=2.5

Answers

Go to 2.5 on the X-axis. Move up from there until you hit a point. That is the value of Ŷ.

Find the errors and identify them
1. (x) (Ew) (y) (Abaxwy v (Ez) Bzzxy) p
2. ~Abaawc p
3. (Ew) (y) (Abaawy v (Ez) Bzzxy) UI, 1
4. (y) (Abaawy v (Ez) Bzzxy) EI, 3
5. Abaawc v (Ez) Bzzxy UI, 4
6. (Ez) Bzzxy DS 2,5
7. Byyxy EI, 6
8. (x) Byyxy UG, 7
9. (x) Byyxy v ~Axxaabb ADD 8
10. (Ez) ( (x) Byyzy v ~ Azzaabb) EG, 9 g

Answers

Answer:

this is confused me so much is it supposed to be a trick or is that a actual question-

Ana Completed 40% of her homework assignment How to Assignments contain 30 math problems how many problems does Anna still need to complete

Answers

Answer:

18

Step-by-step explanation:

30*0.4=12

This means 40% of 30 is 12 and Ana has completed 12 problems.

30-12 = 18, so she still needs to do 18 problems.

can somebody do this please

Answers

Answer:

12y - x - 28 = 0

Step-by-step explanation:

............

12y what the guy above my said is right

Write 8% as a fraction or mixed number in simplest form.

Answers

Answer:

[tex]\frac{2}{25}[/tex]

Step-by-step explanation:

All percents can be written as a fraction with their denominator as 100.

So, first we can write the fraction as 8/100 and start making it smaller and simplifying it.

[tex]\frac{8}{100}[/tex] can be divided by 4 since that is the GCF ( Greatest common factor)

Now, the numerator would be 2 and the denominator would be 25 as shown below ...

[tex]\frac{2}{25}[/tex]

This is the simplest form of 8% as a fraction

Hope this Helps!!! :)

Let me know in the comments if the answer was perfect or if I should change anything!!!

The simplest form of the 8% as a fraction is 2 / 25.

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %.

All percentages can be written as a fraction with their denominator as 100. First, write the fraction as 8/100 and start making it smaller and simplifying it.

Fraction = 8 /100

Fraction = ( 4 x 2) / ( 4 x 25)

Fraction  = 2 / 25

Thus, the 8% in the fraction is 2 / 25.

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look below please help Subject Pronouns Work sheet.For each of the following, write the corresponding subject pronoun in Spanish.1-Marta y ella __________________________________2-Maria y Juan __________________________________3-Mariana y Rosa __________________________________4-Usted,Manol y yo __________________________________5-Carlos __________________________________6-Tu y yo __________________________________7-Luisa y Marisela __________________________________8-Tu y tu y tu __________________________________9-Mariana ___________________________________10-Los estudiantes ___________________________________11-La chica y el chico ___________________________________12- La clase y yo ___________________________________13-La clase y tu ____________________________________14-La clase y usted _____________________________________15-Las estudiantes _____________________________________16-Jose, Carlos y Maria ____________________________________17-Las amigas ______________________________________18-Los amigos _______________________________________19-Mario y Sandra _______________________________________20-Los Dominicanos y los Colombianos __________________________ what is the correct answer? What does the author of "Doing Nothing is Something" mean when she says that kids are "overscheduled"? Solve the following equation: 3x + 6 = 9 please help me please please help me answer this i will give you brainiest if its right and a thanks!! :) Which of the following is an example of a plant responding to the external stimulus of gravity?A.) A seedling growing toward a sunny window B.) A plant root growing down into the soilC.) Flowers producing nectar to attract bees D.) a potted plant wilting when it dries out Why was the property of people who settled in the west often a strange shape?A. That is how the lines on the map were drawn.B. The government divided the land in strange shapes.C. That is how it had always been done.D. People tried to claim only the best parts of the land How fast can you answer correct..? How fast can i give you brainliest. Explain Your answer:D/ HELP A solution outside of a cell that contains an equal water concentration with the cytoplasm of a cell is called: In your own words, explain the benefits and limitations of using tanks in WWI. Which equation is represented by the graph below? What is the slope of the line shown? Read this line from "Song of the Open Road." Going where I list, my own master, total and absolute,What does the phrase "going where I list" mean in the poem?listing important things in lifemaking a list of places to gogoing the same way the wind movesfollowing a set of directions Ill mark you brainlist write in y=mx+b form A beetle that Hannah observed was too small to draw at its actual size. Hannah decided to make a scale drawing of the beetle as shown above. The beetle in the drawing is 7.62 cm long and 3.81 cm wide. The scale factor of her drawing is 3. Part A: Find the actual length of the beetle Hannah observed. Show all work. Part B: Find the actual width of the beetle Hannah observed. Show all work. Part C: The actual length of each of the beetle's antennae is 0.2 cm. What is the size of each antenna on Hannah's scale drawing? Show all work. Retired cowboy chases the wild horse in the barn. Highlight the preposition Choose the best graph that represents the linear equation:6x = y + 8Graph AOn a coordinate plane, a line goes through (negative 2, 4) and (0, negative 8).Graph BOn a coordinate plane, a line goes through (0, negative 8) and (2, 4).Graph COn a coordinate plane, a line goes through (negative 2, negative 4) and (0, 8).Graph DOn a coordinate plane, a line goes through (0, 8) and (2, negative 4).a.Graph Ac.Graph Cb.Graph Bd.Graph D Working towards the good of clients and doing no harm Any power not directly stated in the constitution itself is designated to what level of government?a) Federalb) statec) localBRANILEST WILL BE GIVEN