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3 years ago

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If you know the rate of a water leak in gallons per hour, how can you find the number of hours it takes for 1 gallon to leak out

? Justifyyour answer

1 answer:

Evgen [1.6K]3 years ago

7 0

1/the rate of leakage per hour

This will give you the time it takes for 1 gallon to leak out in hours.

For example, if something is leaking at the rate of 12 gallons per hour, it will take 1/12 of an hour for 1 gallon to leak out. ( or 5 min)

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Answer:

20

Step-by-step explanation:

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The radius of the base of a right circular cone is 5 times greater than the radius of a second right circular cone. If the heigh

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2 years ago

24x^5-8x^4+12x^3-4x^2 / 4x^2

Margaret [11]

Answer:

The detailed process of simplification is :

Step-by-step explanation:

$\frac{24x^{5} - 8x^{4} + 12x^{3} - 4x^{2} }{4x^{2} }$

= $\frac{24x^{5} }{4x^{2} }$ - $\frac{8x^{4} }{4x^{2} }$ + $\frac{12x^{3} }{4x^{2} }$ - $\frac{4x^{2} }{4x^{2} }$ ..........................separate the terms

= 6 $x^{5-2}$ - 2 $x^{4-2}$ + 3 $x^{3-2}$ - 1 ................ subtract the power of x from denominator

= 6 $x^{3}$ - 2 $x^{2}$ + 3 $x$ -1

= 2 $x^{2}$ ( 3 $x$ -1 ) + (3 $x$ -1 )................................... Take (3 $x$ -1 ) common in (6 $x^{3}$ - 2 $x^{2}$ )

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3 years ago

Write an equation in slope-intercept form for the following line:<br> (-14.1) and (13,-2)

vesna_86 [32]

Answer:

$y=-\frac{1}{9}x-\frac{5}{9}$

Step-by-step explanation:

$(-14,1)(13,-2)$

Use the slope-intercept formula:

$y=mx+b$

m is the slope and b is the y-intercept. Use the slope formula first:

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}$

Rise over run is the change in the y-axis over the change in the x-axis. Plug in the coordinates:

$(-14(x_{1}),1(y_{1}))\\(13(x_{2}),-2(y_{2}))$

$\frac{-2-1}{13-(-14)}$

Simplify parentheses (two negatives makes a positive):

$\frac{-2-1}{13+14}$

Simplify:

$\frac{-3}{27} =-\frac{3}{27}=-\frac{1}{9}$

The slope is $-\frac{1}{9}$ . Insert into the equation:

$y=-\frac{1}{9}x +b$

Now, to find the y-intercept, take one of the points and substitute for the x and y values of the equation:

$(13,-2)\\-2=-\frac{1}{9} (13)+b$

Solve for b, the y-intercept. Simplify parentheses:

$-\frac{1}{9}*\frac{13}{1}=-\frac{13}{9}$

$-2=-\frac{13}{9} +b$

Add $-\frac{13}{9}$ to both sides:

$-2+\frac{13}{9}=-\frac{13}{9} +\frac{13}{9} +b\\\\-2+\frac{13}{9} =b$

Simplify:

$-\frac{2}{1} +\frac{13}{9}\\\\-\frac{18}{9}+\frac{13}{9}\\ \\b=-\frac{5}{9}$

The y-intercept is $-\frac{5}{9}$ . Insert this into the equation:

$y=-\frac{1}{9} x-\frac{5}{9}$

Finito.

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3 years ago

Easy points let’s gooo

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Answer:

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120 divided by 2 = 60

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B(base) x H(height) x 1/2(basically dividing by 2)

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3 years ago