let r(t) be the rate in gallons per hour at which water enters a tank. what are the units of r'(t)?

Answers

Answer 1

The units of [tex]r'(t)[/tex] are gallons per square hour.

Dimensionally speaking, [tex]r(t)[/tex], expressed in gallons per hour, is length raised to third power divided by time. Capacity units are volume units.

As rate of change represents the instantaneous change of [tex]r(t)[/tex] in time, then we find that units are length raised to third power divided by time raised to second power.

Hence, the units of [tex]r'(t)[/tex] are gallons per square hour.

To learn more on dimensional analysis, we kindly invite to check this verified question: https://brainly.com/question/10874167


Related Questions

Simplify the expression
8h+​(−7.3d​)−14+5d−3.7h.

Answers


−2.3d+4.3h−14 is the answer .

Find x and y. Give reasons to justify your solution. Pleaseee help

Answers

Answers:

x = 40 and y = 40

========================================================

Explanation:

The three angles involving x add up to 180 since they form a straight line or straight angle.

3x+0.5x+x = 180

4.5x = 180

x = 180/(4.5)

x = 40

Then note how the 0.5x and 0.5y angles are vertical angle pairs. Vertical angles form when we have two lines cross to form an X shape, and vertical angles are always opposite one another. Also, vertical angles are always the same measure.

0.5x = 0.5y

x = y

40 = y

y = 40

In the second step, I multiplied both sides by 2. Then I plugged in x = 40 we found earlier.

Grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. Which equation can he use to find n, the number of gallons of water he should remove? 3. 52 (22 minus n) = 0. 24 StartFraction 22 minus n Over 3. 52 EndFraction = StartFraction 24 Over 100 EndFraction StartFraction 3. 52 Over 22 minus n EndFraction = StartFraction 24 Over 100 EndFraction 3. 52 (22 minus n) = 0. 24.

Answers

Answer:

The correct answer is 33.4516

Approximately it is 33.452

Will give brainliest

Proof (7 points)

2. Given BC Il DE. Prove triangle ADE - Triangle ABC.

STATEMENTS

REASONS

Answers

well i got this answer by using my brain stinky

Evaluate the expression x=7.x+8

Answers

Answer:

15

Step-by-step explanation:

For each time I see x, I replaced it with 7 because I know that x is equal to 7.

I only see one x so I am only replacing that one x so instead of x + 8, I get 7 + 8 and you could split 8 into 5 + 3 and split 7 into 5 + 2.

5 plus 5 is 10. If you are having trouble adding the numbers you could put up 5 fingers first and then add one finger up one by one to still the number 10. Now that just leaves you with 3 + 2.

You could first put up 3 fingers and then add two more to get a total of 5 fingers.

At last, you could just add 10 + 5 to get 15 in total.

Hope this works you!!!

3.(08.01 MC)
Find the length of the base of a square pyramid If the volume is 48 cubic inches and has a height of 9 inches.
O 4 inches
O 8 inches
O 16 inches
0
24 inches

Answers

Answer:

4 inches

Step-by-step explanation:

The formula is L=√((3×V)/h)

what would 2 x (x-3) sum be

Answers

Answer:

2x-6 I think

Step-by-step explanation:

Somebody, please help me with this MATH question.

Answers

Answer: F(x)= 4,800(1.5)^X

[Please, help me. I need it quickly]
If cosA+sinA=√2, then prove A=45°.

Answers

Step-by-step explanation:

Start by squaring both sides

cosA+sinA=[tex]\sqrt{2}[/tex]

[tex]cos^2A+2cosAsinA+sin^2A=2[/tex]

Apply Trig identity

[tex]cos^2x+sin^2x=1[/tex]

2cosAsinA+1=2

2cosAsinA=1

Apply Trig Identity

2cosxsinx=sin(2x)

sin(2A)=1

2A=arcsin1

arcsin(1) is a known value [tex]\frac{\pi }{2}[/tex]

2A=[tex]\frac{\pi }{2}[/tex]

A=[tex]\frac{\pi }{4}[/tex]

[tex]\pi[/tex] [tex]radians=180^o[/tex]

A=[tex]\frac{180^o}{4}[/tex]=[tex]45^o[/tex]

Find the domain of the function.

Answers

Answer:

  all real numbers except x=8

Step-by-step explanation:

There is apparently a vertical asymptote at x = 8. The function is not defined for that value of x, but is defined everywhere else.

  The domain is all real numbers except x=8.

  In interval notation: (-∞, 8) U (8, ∞)

Draw a line PQ. Take any point outside it and construct a line parallel to the given line through this point​

Answers

Parallel means same slope, so in the image, line PQ is connected by a line. The other point I made has a line parallel through it.

Write an exponential equation in the form y = ab^x whose graph passes through points (1,0.84) and (2,1.008)

Answers

Answer:

y = 0.7 * 1.2^x

Step-by-step explanation:

(1, 0.84)

0.84 = ab^1

(2, 1.008)

1.008 = ab^2

-------------------------

To find b divide the second point by the first

ab^2 / ab^1 = 1.008 / 0.84

b = 1.2

----------------------

To find a plug b = 1.2 into the first point

0.84 = a * 1.2^1

0.84 = a * 1.2

Divide both sides by 1.2

0.7 = a

------------------------

The equation is

y = 0.7 * 1.2^x

Write a rule to describe each transformation.

- A
- B
- C
- D

Answers

Answer:

A, a dilation of 2

Step-by-step explanation:

The answer is, A dilation of 2 because the image is getting dilated to a  bigger form. If it was a decimal or a fraction; the image would be smaller and than the pre-image.

(Pre-image is a shape before a transformation, image is after a ransformation.)

Have a great day friend! :D

Identify the form the following equation is in y = 2/3x - 7

Answers

Answer:

Point slope form

[tex]y=mx+b[/tex]

HELP ME PLEASE AAAAAAAAAAA

Answers

Answer:

180°consecutive interior angles are supplementary∠620°, 160°

Step-by-step explanation:

The blanks get filled in like this:

Statement 3: m∠6 +m∠4 = 180°

Reason 3: Consecutive interior angles are supplementary

Statement 4: m∠6 +8·m∠6 = 180°

Statement 5: m∠6 = 20°, m∠4 = 160°

_____

You can see from the diagram that angles 4 and 6 are consecutive interior angles. You know the relation between those angles is that they are supplementary. The problem is asking you to state that relationship as Reason 3.

The given relation between the angles, m∠6 = 1/8·m∠4, can be recast as ...

  8·m∠6 = m∠4

This is the substitution that is used in statement 4.

Simplifying that statement gives 9·m∠6 = 180°   ⇒   m∠6 = 180°/9 = 20°. Then m∠4 = 8·m∠6 = 8·20° = 160°.

Dr. Smith purchased a used car for $11,325. Her state charges 8% tax for the car, $53 for the license plates, and $40 for a state safety and emissions inspection. How does she need to play for these extra charges, not including the price of the car?

Answers

Answer:

999

Step-by-step explanation:

8% of 11,325 is 906

53 plus 40 is 93

906 plus 93 is 999

Help!

How do you find the change in the output value and the change in the input value, in a table?

Thank you, I just need simple instructions :)

Answers

Answer:

You can use ratio to compare the input and output

Step-by-step explanation:

Who knows what is 2 x 5 ?

Answers

2 x 5= 10 =) just add 5+5 since it’s times 2

Which of the ordered pairs is a solution to the system of inequalities?

y ≥ 3

y > x

(-3, 2)
(2, 3)
(-4, 3)
(0, 0)

Answers

I think it’s the 2 and 3 one

Sorry if it’s wrong

Ray uses 1/4 of a gallon of gasoline to drive a distance of 5 1/2 miles. At this rate, how many miles can he drive on 1 gallon of gas?
Any help is appreciated!

Answers

Answer:

22

Step-by-step explanation:

JoJo Seaweed walks at a constant rate of 8 ft in 2 s. The table shows the relationship of feet to seconds. What is the constant of proportionality for the relationship of feet to minutes? Record your answer on the grid. Then fill in the bubbles

Answers

Answer:

240 ft/min

Step-by-step explanation:

PLEASE HELP MEEE

1st pic. Referring to the figure, given ray BD bisects ∠ABC,
find the value of x.

2nd pic. Referring to the figure, given ray BD bisects ∠ABC,
find the value of x.

Given ∠A and ∠B are supplementary. The measure
of ∠B is three times the measure of ∠A. Find m∠A.

Given ∠A and ∠B are supplementary. The measure
of ∠B is three times the measure of ∠A. Find m∠B.

Answers

Answer:

x1=15, x2=10, angle A=45, angle B=135

Step-by-step explanation:

1st pic: since ray BD bisects angle ABC, 2x=x+15, subtract x from both sides to get x=15

2nd pic: using the same logic as above, x=4x-30. add 30 and subtract x from both sides to get 3x=30, divide by 3 to get x=10

since angle A and angle B are supplementary, A+B=180, since B=3A, we have A+3A=180, or 4A=180. divide to get A=45. since B=3A, B=3*45=135

Answer:

Refer to the explanation for the answer!

Step-by-step explanation:

Hello! Here is what I've found:

<ABC and <DBC in the first picture are both 30 degrees.

<ABC and <DBC in the second picture are both 10 degrees.

For m<A: It would be <A = x and <B = 3x

For m<B: It would be <A = 3x and <B = x

answer this questtion​

Answers

Answer:

69 degrees

Step-by-step explanation:

Answer:

21gb

Step-by-step explanation:

did the test

How do you solve for x?

2(x - 3)^2 - 32 = 0

Answers

[tex] \: \: \: \: \: \: \: \: [/tex]

[tex]x = - 1 \\ x = \: 7[/tex]

Step-by-step explanation:

[tex]2(x - 3 {)}^{2} - 32 = 0[/tex]

divide both sides

[tex](x - 3 {)}^{2} - 16 = 0[/tex]

use - b² =(a - b ) (a + b) to factor the expression

[tex](x - 3 - 4) \times (x - 3 + 4) = 0[/tex]

calculate the difference and the sum

[tex](x - 7) \times (x + 1) = 0[/tex]

when the product of factors equals 0 ,at least one factor is 0

[tex]x - 7 = 0 \\ x + 1 = 0[/tex]

solve the equation for x

[tex]x = 7 \\ x + 1 = 0[/tex]

the equation has 2 solutions

[tex]x = - 1 \\ x = 7[/tex]

hope it helps

[tex] \: \: \: \: \: \: \: [/tex]

pls help…. quickkkkkkkkkkk

Answers

Answer: b

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

The shading is above the line, so it must be ≥ or >.

The line is solid, so it must be ≥.

The only choice with ≥ is the answer.

Answer: B.

Russell is eating at a restaurant. His total bill comes to $44.85. If Russell decides to leave a tip that is approximately 20% of the total bill, how much should he leave for the tip?
$9.00
$0.09
$54.00
$8.00

Answers

Answer:

I'm thinking is I'm not sure is is answer 0.9

Step-by-step explanation:

am not sure my answer guys because naka tulong din na man too

The Tokyo Skytree in Japan is 634 m high. Meanwhile, the Canton Tower in China is 600 m high.
How much taller is the Tokyo Skytree?

Answers

Answer:

34

Step-by-step explanation:

634 - 600 = 34

physics book is moved once around the perimeter of a table of dimensions 2.0 m by 0.5 m.

(a) If the book ends up at its initial position, what is its displacement?


(b) What is the distance traveled?

Answers

Step-by-step explanation:

(a) 0. no displacement.

(b) rectangle perimeter :

2×length + 2×width = 2×2 + 2×0.5 = 4 + 1 = 5 m

Solve the equation
x2 + 4x - 7 = 0
by completing the square.
Give your answers correct to 2 decimal places.

Will make brainliest

Answers

See the steps below:

x² + 4x - 7 = 0x² + 4x + 4 - 4 - 7 = 0(x + 2)² - 11 = 0(x + 2)² = 11x + 2 = ± √11x = - 2 ± √11x = -2 ± 3.32x = 1.32, x = - 5.32

How to write in Simplified slope intercept form

Answers

Answer:

y = -5/3x + 8

Step-by-step explanation:

So the y - intercept is 8 and from that point the line goes down by 5 and right by 3.

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