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2 years ago

If f(x) = (3 + x) (x-3) what is f(a + 2)?

Mathematics

1 answer:

ipn [44]2 years ago

5 0

Answer:

(a^2)+4a-5

Step-by-step explanation:

(3+a+2)(a+2-3)

(a+5)(a-1)

use FOIL or box method

5a-5+(a^2)-a simplifyes to

(a^2)+4a-5

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If a fire is burning a building and it takes 2 hours to put it out using 2000 gal./min., what minimum diameter cylindrical tank

strojnjashka [21]

Answer:

The minimum diameter of the cylindrical tank needed to store the quantity needed to put out the fire is approximately 58.415 feet.

Step-by-step explanation:

A gallon equals 0.134 cubic feet. First, we determine the amount of water ( $Q$ ), measured in cubic feet, needed to put out the fire under the assumption that water is consumed at constant rate:

$Q = \dot Q \cdot \Delta t$ (1)

Where:

$\dot Q$ - Volume rate, measured in feet per minute.

$\Delta t$ - Time, measured in minutes.

If we know that $\dot Q = 2000\,\frac{gal}{min}$ and $\Delta t = 120\,min$ , then the amount of water is:

$Q = \left(2000\,\frac{gal}{min} \right)\cdot (120\,min) \cdot \left(0.134\,\frac{ft^{3}}{gal} \right)$

$Q = 32160\,ft^{3}$

And the diameter of the cylindrical tank based on the capacity found above is determined by volume formula for a cylinder:

$Q = \frac{\pi}{4}\cdot D^{2}\cdot h$ (2)

Where:

$D$ - Diameter, measured in feet.

$h$ - Height, measured in feet.

If we know that $Q = 32160\,ft^{3}$ and $h = 12\,ft$ , then the minimum diameter is:

$D^{2} = \frac{4\cdot Q}{\pi\cdot h}$

$D = 2\cdot \sqrt{\frac{Q}{\pi\cdot h} }$

$D = 2\cdot \sqrt{\frac{32160\,ft^{3}}{\pi\cdot (12\,ft)} }$

$D \approx 58.415\,ft$

The minimum diameter of the cylindrical tank needed to store the quantity needed to put out the fire is approximately 58.415 feet.

8 0

2 years ago

Help me Plzz I need help with this !!

Ilya [14]

Answer:

B. -11 + 7

Step-by-step explanation:

Minus a negative translates to add.

-11 - (-7) = -11 + 7

4 0

2 years ago

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Find the distance between -2 3/5 and -2 3/10 on a number line.<br>

alina1380 [7]

Answer: 3/10. -2 3/5 = -2 6/10. -2 6/10 - -2 3/10 = - 3/10. -3/10 = 3/10 away on a number line

7 0

2 years ago

Which points in the scatter plot are outliers?

____ [38]

Its H and K.... they are the only 2 dots that are not in the close group

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2 years ago

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I'm confused, can someone help?

sergiy2304 [10]

To solve for S, you would want to get rid of the denominator so multiply 360 onto both sides. then the equation is 360A=pi times r squared times S. Divide both sides by pi and r squared and you get S=360A/pi times r squared

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3 years ago