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adelina 88 [10]
2 years ago
5

A 21,000 gallon swimming pool contains 9000 gallons of water when a hose is placed into the pool and begins adding water at a ra

te of 1500 gallons per hour.   Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed into the pool until it is full.
Mathematics
2 answers:
fenix001 [56]2 years ago
5 0

Answer:

<h2>It would take 8 hours to reach the maximum capacity of the swimming pool.</h2>

Step-by-step explanation:

We know that:

  • Pool's capacity is 21,000 gallons.
  • Already contains 9,000 gallons of water.
  • The hose is adding water at a rate of 1500 gallons per hour.

So, the pools needs 12,000 gallons more to be full. So, to solve the problem we could apply the rule of three. If 1500 gallons takes 1 hour, how much time would take 12,000 gallons:

12,000 \ gallons\frac{1 \ hour}{1500 \ gallons}=8 \ hours

So, using a linear model, it would take 8 hours to reach the maximum capacity of the swimming pool.

Natasha2012 [34]2 years ago
3 0
It will take 8 more hours to fill the pool completely

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So first you have to find the perfect square that matches up with x^2 + 6x

so half of 6, and square it. your perfect square is 9

x^2 + 6x + 9 = 7 + 9

then, condense the left side of the equation into a squared binomial:

(x + 3)^2 = 16

take the square root of both sides:

x + 3 = ± √16

therefore:

x + 3 = ± 4

x = - 3 ± 4

so your solution set is:

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2 years ago
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What is the value of k in the equation below? 5k - 2k = 12? 1 1/5, 1 5/7, 3, 4
valkas [14]
Hi there!

5k - 2k = 12
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The correct answer is : 4


I hope that helps!
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2 years ago
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Between 1896—when the Dow Jones index was created— and 2012, the index rose in 65% of the years. Based on this information, and
forsale [732]

Answer:

a) P(x) = 0.67

b)  P(y) = 0.67

c) P(x=4) = 0.3325

d) P( x = 0 ) = 0.0039

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Step-by-step explanation:

A) The probability that the stock market will rise next year = P(x) = 0.67

assuming next year to be X

B) Probability that the stock market will rise the year after next year

= P(y) = 0.67 and this is because the probability is independent of that of the previous years

C) Probability that the stock market will rise in four of the next five years

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Brock is training for a Crossfit competition. He began the training completing pull-ups and box jumps origanally, his training p
siniylev [52]

If the adjusted ratio was 2:7, then

2x is the number of pull-ups

and

7x is the number of box jumps.

You can state that since he completed 63 box jumps at the end of his training, then

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x=9

and

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The total number of exercises performed is 2x+9x=18+63=81.

As at start the ratio was 5:4, then

5y was the number of pull-ups

and

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Therefore, 5y+4y=81,

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Answer: Initially: 45 pull-ups and 36 box jumps. At the end: 18 pull-ups and 63 box jumps.

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There are 10 boys and 12 girls in the tennis club. The coach wants to select two players to practice first. Which statements are
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