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Scorpion4ik [409]
2 years ago
7

water enters a pool at an increasing rate given by W(t)=1+3t gallons per minute from t=0 to t=5 minutes. Find the amount of wate

r that has entered the pool over these five minutes.
Mathematics
1 answer:
Scorpion4ik [409]2 years ago
4 0

The amount of water that has entered the pool over these five minutes is 42.5 gallons.

Given the rate at which water enter the pool W(t). To calculate the amount of water that has entered the pool over these five minutes, we integrate W(t) over the interval t = 0 to t = 5.

Amount\ of \ water=\int\limits^0_5 {W(t)} \, dt \\\\\\Amount\ of \ water=\int\limits^0_5 {(1+3t)} \, dt \\\\\\Amount\ of \ water=[t+1.5t^2]_0^5\\\\\\Amount\ of \ water=42.5\ gallons

The amount of water that has entered the pool over these five minutes is 42.5 gallons.

Find out more on integration at: brainly.com/question/23976638

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A theater has a discount pass that cost nine dollars with the past admission is $6.50 per movie. mike tyrell and juanita all bou
tia_tia [17]

Answer:

They saw <u>24</u> movies.

Step-by-step explanation:

The question is incomplete so the complete question is below:

A theater has a discount pass that cost nine dollars with the pass, admission is $6.50 per movie. Mike, Tyrell and Juanita all bought a pass and went to see movies together they spent a total of $183. Write and solve an equation to find out how many movies they saw.

Now, to find the number of movies they saw.

Let the number of movies they saw be x.

Discount pass = $9.

With the pass admission per movie is $6.50.

Total number of people = 3.

Total money spent = $183.

So, to get the number of movies they saw we write an equation:

3(9)+6.50(x)=183

Now, to solve the equation:

3(9)+6.50(x)=183

27+6.50x=183

<em>Subtracting on both sides by 27 we get:</em>

6.50x=156

<em>Dividing both sides by 6.50 we get:</em>

x=24.

Therefore, they saw 24 movies.

4 0
3 years ago
3. Theresa has 20 coins that are dimes and quarters. Together
KiRa [710]

Answer:

  • 15 dimes
  • 5 quarters

Step-by-step explanation:

Let q represent the number of quarters Theresa has. Then the value of her coins is ...

  0.25q + 0.10(20 -q) = 2.75

  0.15q = 0.75 . . . . . . . . . subtract 2.00, collect terms

  q = 0.75/0.15 = 5

Theresa has 5 quarters and 15 dimes.

3 0
3 years ago
The table below displays the purchases that Graphic DesignWorks made from
AveGali [126]

If Graphic Design Works uses LIFO and has 125 shorts left in its inventory, the value of its current stock is <u>D. $1485</u>.

<h3>What is the LIFO inventory system?</h3>

The Last-In, First-Out (LIFO) method is an inventory valuation method that assumes that the last units to arrive in inventory are sold first.

The LIFO method is allowed under US GAAP.  It is the opposite of FIFO (First-in, First-Out).  The FIFO method assumes that the units bought first are the first to be sold.

<h3>Data and Calculations:</h3>

Month of                    Number    Price per        Total Cost

Purchase                  of shorts       shorts

June                             40                $11                    440 (40 x $11)

July                              60                $12                   720 (60 x $12)

August                        80                 $13                1,040 (80 x $13)

September                 90                 $14                1,260 (90 x $14)

Ending inventory      125

Using LIFO:

Value of ending inventory = $1,485 ($440 + $720 + $13 x 25)

Thus, if Graphic Design Works uses LIFO and has 125 shorts left in its inventory, the value of its current stock is <u>D. $1485</u>.

Learn more about the LIFO inventory method at brainly.com/question/6640325

#SPJ1

6 0
2 years ago
kali bought 6 books for a total of $154. math books cost $27 and English books cost $23. how many of each type of book did she b
kipiarov [429]
She bought 4 English books and 2 math books

27 x 4 = 108
23 x 2 = 46
108+46=154
5 0
2 years ago
Jake is going to the store to buy candles. Small candles cost $3.50 and
Tanzania [10]

Answer:

Let

S= #small candles

L= #Large candles

S+ L =>20

3.50S + 5.00L < 80

Step-by-step explanation:

3 0
3 years ago
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