12. Water is being pumped into a pool at a constant rate of 8.25 gallons per minute. If the pool contained 1250
gallons of water initially, write a function for the number of gallons of water, g(t),in the pool after t minutes
of pumping water into the pool.

Answers

Answer 1

Answer:

[tex]g(t)=8.25t+1250[/tex]

Step-by-step explanation:

You can input any value for t, and that would give you the amount of water pumped in. Then, the +1250 represents the initial 1250 gallons that are in the pool.


Related Questions

Customers of a utility company received notices in their monthly bills that heating costs for the average customer had increased 125% over last year because of an unusually severe winter. In January of last year, the Garcia's paid $120 for heating. What should they expect to pay this January if their bill increased by 125%?

Answers

Answer: $270

Step-by-step explanation:

Cost of heating last year = $120

The amount that they will expect to pay this January if their bill increased by 125% will be the addition of $120 and 125% of $120. This can be mathematically expressed as:

= $120 + (125% × $120)

= $120 + (1.25 × $120)

= $120 + $150

= $270


[tex] - 5 {u}^{4} \times ( {u}^{4} )[/tex]
PLEASE HELP ME

Answers

it equals to - 5u to the power of 8

Please help me immediately I’m very stuck

Answers

Answer:

D

Step-by-step explanation:

because you want to find the sum of the amount.

Find the next three term of this sequence 3.2,4.3,5.4,

Answers

Answer:

6.5, 7.6, 8.7

Step-by-step explanation:

It increases by 1.1 each time.

6.5, 7.6, 8.7

This pattern is to add 1.1 each time.

Length breadth and height of a room are 5 metre 4 metre and 4 metre Calculate its area​

Answers

Answer:

Area = L x B

= 5m x 4m =20m square

Solving Inequalities
-4x/5 < 20
(Show your work)

Answers

Answer:

x > -25

Step-by-step explanation:

Write it out: [tex]-\frac{4x}{5} < 20[/tex]  Multiply each side by 5 to cancel out the 5 under -4x. It should now look like this: -4x < 100Divide each side by -4 to cancel out the -4 next to x. It should now look like this: x > -25

I hope this helps!

After a baby was born, he began to gain weight at a rate of 1.5 pounds per month. The weight of the baby at birth was 10 pounds. Write an equation for W,W, in terms of t,t, representing weight, in pounds, of the newborn baby tt months after birth. W=? Please answer !!!

Answers

Answer:

W = 10 +1.5t

Step-by-step explanation:

10 pounds

addition of 1.5 pounds

A contractor purchases ceramic tile to remodel a kitchen floor. Each tile costs $4.00, and the adhesive and grouting material needed for the whole job costs $15.82. The contractor is charged a total of $655.82, how many ceramic tiles did the contractor purchase?

Answers

Answer:

160 tiles.

Step-by-step explanation:

First let's make an equation.

Each tile costs $4, let's make t=number of tiles.

+$15.82, and the total cost being $655.82

So ideally our equation would look like

4t+15.82=655.82

Now solve.

First, subtract 15.82 on both sides.

4t=640

Second, divide 4 on both sides to make the variable t by itself.

t=160

So, the contractor purchased 160 tiles.

In 1819, the United States purchased Florida from Spain for
$5 X 106. The area of Florida is about 6.6 x 104 square miles.
Which key strokes on a calculator will give the cost the
United States paid for each square mile of Florida?
A) 6.6EE4×5EE(-)6
B) 6.6EE4÷5EE6
C)5EE6×6.6EE4
D)5EE6÷6.6EE4

Answers

Answer:

D. 5 x 10⁶ ÷ 6.6 x 10⁴

Step-by-step explanation:

If 6.6 x 10^4 square miles of florida costs $5 X 10^6, then to get one square miles we will follow the given steps below;

6.6 x 10^4 mi² = $5 X 10^6

1mi² = $x

Cross multiply;

$5 X 10^6 * 1 = 6.6 x 10^4 * x

6.6 x 10⁴ x = 5 X 10⁶

Divide both sides by 6.6 x 10⁴  to get x;

6.6 x 10⁴ x /6.6 x 10⁴ = 5 x 10⁶/6.6 x 10⁴

x = 5 x 10⁶ ÷ 6.6 x 10⁴

x = 0.76*10⁶⁻⁴

x = $0.76*10²

Hence the key strokes on a calculator will give the cost the  United States paid for each square mile of Florida is 5 x 10⁶ ÷ 6.6 x 10⁴

Which values represent solutions to Cosine (StartFraction pi Over 4 EndFraction minus x) = StartFraction StartRoot 2 EndRoot Over 2 EndFraction sine x, where x Is an element of [0, 2Pi)?

Left-brace 0, pi right-brace
Left-brace 0, StartFraction 3 pi Over 2 EndFraction right-brace
Left-brace StartFraction pi Over 2 EndFraction, StartFraction 3 pi Over 2 EndFraction right-brace
Left-brace pi, StartFraction 3 pi Over 2 EndFraction

Answers

Answer:

C.

Step-by-step explanation:

got it right on edge :)

The given trig function consist of trig values of common angles;

The values that represent the solution to [tex]\mathbf{cos \left(\dfrac{\pi}{4} - x\right)} = \dfrac{\sqrt{2} }{2} \cdot sin \, x[/tex], x ∈ [0, 2·π) are;

[tex]x = \left\{\dfrac{\pi}{2} , \, or \ \dfrac{3 \cdot \pi}{2} \right \}[/tex]

Reason:

The given function is presented as follows;

[tex]cos \left(\dfrac{\pi}{4} - x\right) = \dfrac{\sqrt{2} }{2} \cdot sin \, x[/tex]

Where;

x ∈ [0, 2·π)

We have;

cos(A - B) = cos(A)·cos(B) - sin(A)·sin(B)

[tex]cos \left(\dfrac{\pi}{4} \right) = \dfrac{\sqrt{2} }{2}, \ sin\left(\dfrac{\pi}{4} \right) = \dfrac{\sqrt{2} }{2}[/tex]

Which gives

[tex]cos \left(\dfrac{\pi}{4} - x\right) =\dfrac{\sqrt{2} }{2} \cdot cos \, x + \dfrac{\sqrt{2} }{2} \cdot sin \, x[/tex]

Therefore, we get;

[tex]\dfrac{\sqrt{2} }{2} \cdot cos \, x = \dfrac{\sqrt{2} }{2} \cdot sin \, x - \dfrac{\sqrt{2} }{2} \cdot sin \, x = 0[/tex]

cos x = 0

[tex]cos \left(\dfrac{\pi}{2} \right) = 0[/tex]

Therefore;

The possible solutions (x-values) to cos x = 0 are; [tex]0 \leq \dfrac{n \cdot \pi}{2} \leq 2 \cdot \pi[/tex]

Where;

n = 1, 3, 5, ...

x ∈ [0, 2·π)

We get;

[tex]x = \left\{\dfrac{\pi}{2} , \, or \ \dfrac{3 \cdot \pi}{2} \right \}[/tex]

Learn more here:

https://brainly.com/question/12774575

(Will give Brainliest)

Answers

Answer:

b-4.2<-7.5

Step-by-step explanation:

b-4.2<-7.5

this is because the number given as "b" minus 4.2 (as shown on the left) is less than (<) -7.5, so this inequality makes sense.

Answer:

b-4.2<-7.5

Step-by-step explanation:

b
It takes 4 workers 6 days to build a shed.
How many sheds could 2
of the workers make in 36
days, if all of the workers
work at the same rate?

Answers

Two workers can only make 3 sheds in 36 days

Assume the two lines ↔AB and ↔XY intersect as in the diagram below. Which of the following statements are true?

Check all that apply.

Answers

A and B are true because if there is a 90 angle for two intersecting lines, then the two lines are perpendicular. As well, vertical angles are the angles opposite of one another and these angles are opposite sides. Complimentary means they add up to 90 and supplementary angles add up to 180

HEY CAN ANYONE ANSWER DIS PLS!

Answers

1.2 times 15 = 18 so your answer will be A

If m<1 = 88 , find the m<3.

Answers

Answer:

87?

Step-by-step explanation:

slipknot is the answer to all your problems

7.) What is -10 has a fraction?

Answers

-10/1 is the correct answer
ANSWER : -10/1
Nothing further can be done to this topic

POSSIBLE POINTS: 4 The length of a rectangle is 4 inches more than the width. The area of the rectangle is 45 in2 Find the length and the width.​

Answers

Answer:

x (x + 4) = 45

x^2 + 4x - 45 = 0

factor

(x + 9)(x - 5) = 0

x = -9 or 5

 

your length cannot be negative so x= 5 and x+4 =9

Step-by-step explanation:

Hope this answer is Wright

What is the simplest form of 4a + 8b/12​
Step by step pls

Answers

Answer:

4a + 2b/3

Step-by-step explanation:

focus on 8b/12 first:

factor 8b/12 by 4 ---> 8b/12 = 4(2)b/4(3) ----> cancel 4 in the denominator and the nominator ---> 8b/12 = 4(2)b/4(3) = 2b/3

then, go back to 4a:

4a is in its simplest form, it can't be factor

therefore, plus 4a and 2b/3 = 4a + 2b/3

Simplify the ratio.

14 ft to 21 ft

Answers

14 ft to 21 ft = 2 ft to 3 ft

You go out to lunch with some friends at your favorite restaurant. The bill is $25.56 and you want to leave a 20% tip. What is the TOTAL COST of the bill with tip included?

$20.45

$30.67

$127.80

$5.11

Answers

Answer:

30.67

Step-by-step explanation:

20 percent of 25.56 is 5.1

DIRECTIONS: Use this information to answer Parts A and B.

A home sold for S286,000. The amount the homeowner received, before taxes and closing costs, was the selling price minus the commission to the real estate
agent, which was 6%.

Part A
How much commission did the real estate agent earn on the sale?

Enter the correct answer in the box.

Answers

Answer:

$17,160

Step-by-step explanation:

286,000·0.06=17,160

What is the slope of a line that is perpendicular to the
line shown on the graph?

Answers

Answer:

D or four

Step-by-step explanation:

The slope of a perpendicular line is always the reciprocal of the first lines slope :) have a nice day!

Gianna paid $4.75 for a strawberry smoothie. She now has $12.35. How much money did Gianna have before she bought the smoothie? Select all that apply. m - 4.75 = 12.35 A. Add 4.75 to both sides of the equation. B. Subtract 4.75 from both sides of the equation. C. 12.35 + 4.75 = 17.10. D. 12.35 - 4.75 = 7.60. E. Gianna had $7.60 before she bought the smoothie. There is more than one answer.

Answers

Answer:

Add 4.75 to both sides of the equation.

Step-by-step explanation:

using the notation from the options in the answer, say the money that Gianna had was m

And she paid  $4.75 for a strawberry smoothie.

then we can calculate the money she had by subtracting the $4.75  paid for a strawberry smoothie from m and equating it to her the balance she has currently

so mathematically

m-4.75=12.34

Add 4.75 to both sides of the equation we have

m-4.75+4.75=12.34+4.75

m=$17.09

The correct answer is

Gianna had $17.09 before she bought the smoothie

Answer:

A. add 4.75 to both sides of the equation.

C. 12.35 + 4.75 = 17.10

Step-by-step explanation:

How do I round up this number 86,088

Answers

to the nearest hundredth

Answer:

86,000

Step-by-step explanation:

You look at the 88 and 88 would round up to one, but since 1 is less than four the number becomes 86,000

Solve for g: k=wv2/2g

Answers

Answer:

g = k/vw

Step-by-step explanation:

Really need Help with this One..

Answers

Answer: 49.5

Step-by-step explanation:

All triangles equal 180 degrees

We know two of these degrees

73+57.5=130.5

180-130.5=49.5 degrees

73 + 57.5 = 135.5
180 - 135.5 = 44.5

If the weather forecast calls for a 20% chance of light rain tomorrow, would you say that it is likely to rain tomorrow?

Answers

Answer:

Unlikely

Step-by-step explanation:

There are more chances that tomorrow there will be no rain than the raining we can say that it is unlikely to rain tomorrow.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

The weather forecast calls for a 20% chance of light rain tomorrow.

Probability of rain:

P(rain) = 20% = 0.2

Complement event: Not rain tomorrow

Probability of complement event P(not rain) = 1 – 0.2 = 0.8 or 80%

P(not rain) > P(rain)

Thus, there are more chances that tomorrow there will be no rain than the raining we can say that it is unlikely to rain tomorrow.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

what is the additive inverse of x+3 ​

Answers

Answer:

-x-3

Step-by-step explanation:

(x+3) + the additive inverse = 0

the additive inverse = -(x+3)

The product of four and a number +17 is five

Answers

Answer:  n = -3

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

This is really confusing can someone help?

Answers

Answer:

D.780.8

Step-by-step explanation:

multiply 244 and 3.2 and you get D. hope this helps.

Answer:

B (780 4/5)

Step-by-step explanation:

He’s buying 24 boxes, and each box weighs 3 1/5 pounds. So we need to multiply 24 x 3 1/5, resulting in 780 4/5

So sorry if I’m wrong. Have a good day!

~Louella Marie Smith♥️

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