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Papessa [141]
2 years ago
7

Solve: 55) A pool is filling at 3 pts per min. How many gallons per hour is that?

Mathematics
1 answer:
Novay_Z [31]2 years ago
6 0
Conversion factors:
2 pints = 1 quart
4 quarts = 1 gallon
60 minutes = 1 hour

15 pints/minute x 60 minutes/hour x 1 quart/2 pints x 1 gallon/4 quarts = 112.5 gallons/hour
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Marizza181 [45]

Answer:

  21,550

Step-by-step explanation:

An increase of 5% means the population is multiplied by 100% +5% = 1.05. This occurs each year for 12 years, so the multiplier is ...

  1.05¹² ≈ 1.7958563

When the initial population is multiplied by this factor, it becomes ...

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5 0
3 years ago
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Bezzdna [24]

Answer:

x²-9=x²-3²=(x+3)(x-3)

Step-by-step explanation:

use formula

a²-b²=(a+b)(a-b)

7 0
3 years ago
The graph of f ′ (x), the derivative of f(x), is continuous for all x and consists of five line segments as shown below. Given f
Nataliya [291]

The maxima of f(x) occur at its critical points, where f '(x) is zero or undefined. We're given f '(x) is continuous, so we only care about the first case. Looking at the plot, we see that f '(x) = 0 when x = -4, x = 0, and x = 5.

Notice that f '(x) ≥ 0 for all x in the interval [0, 5]. This means f(x) is strictly increasing, and so the absolute maximum of f(x) over [0, 5] occurs at x = 5.

By the fundamental theorem of calculus,

\displaystyle f(5) = f(0) + \int_0^5 f'(x) \, dx

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\displaystyle \int_0^5 f'(x) \, dx = \frac{5+2}2 \times 2 = 7

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8 0
3 years ago
Please solve and explain how. Photo attached
geniusboy [140]

Answer:

Step-by-step explanation:

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multiply by \frac{k^2-2k}{1} on each side

2=k^2-2k-1

add 1 on both sides 3=k^2-2k

make it equal 0

0=k^2-2k-3

Factor

(k-3)(k+1)

answer is 3 and -1

7 0
3 years ago
Ing One Step Equations - Barb knows that she needs 8.5 hours of sleep every night to feel rested and sharp. If Barb has been get
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Answer:

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Step-by-step explanation:

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