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3 years ago

8

An inverted square pyramid 20 ft high with a square base having 8-foot sides is filled with oil at the rate of 2 cubic ft/s. How

fast is the oil rising when it is at 4 ft deep?
A.
0.313 ft/s
B.
0.625 ft/s
C.
0.78 ft/s
D.
1.25 ft/s

1 answer:

Dmitrij [34]3 years ago

3 0

Answer:

D

Step-by-step explanation:

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Given the trinomial, what is the value of the coefficient B in the factored form? 2x2 + 4xy − 48y2 = 2(x + By)(x − 4y) −12 12 −6

Sonja [21]

Answer:

B is 6.

Step-by-step explanation:

We are trying to find a value for $B$ such that:

$2x^2+4xy-48y^2=2(x+By)(x-4y)$ is true for every $x,y$ .

So let's choose $x=0,y=1$ :

$2(0)^2+4(0)(1)-48(1)^2=2(0+B(1))(0-4(1))$

$2(0)+0-48=2(B)(-4)$

$0-48=-8B$

$-48=-8B$

Divide both sides by -8:

$\frac{-48}{-8}=B$

$6=B$

$B=6$

Note: I didn't want to choose y to be 0 because the value of B would disappear from the equation. So you should be able to have chosen any x and y except for y=0 to solve the equation for B.

Check:

So let's check and use foil to multiply out the right hand side.

$(x+6y)(x-4y)$

$x(x)+x(-4y)+6y(x)+6y(-4y)$

$x^2-4xy+6xy-24y^2$

$x^2+2xy-24y^2$

There was a 2 in front of that multplicapltiation:

$2(x+6y)(x-4y)$

$2(x^2+2xy-24y^2)$

$2x^2+4xy-48y^2$

This is exactly what we have on the left hand side of your given equation.

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A small pond contains nine catfish and five bluegill. If nine fish are caught at random, what is the probability that all of the

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Answer:

c

Step-by-step explanation:

c is the correct answer because there is a pretty high possibility but not a extremely low possibility either

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4 years ago

Describe how to multiply a number by a power of 10

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When multiplying a number by the power of 10, you are multiplying that number by itself 10 times. EX: 5^10 = 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5

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4 years ago

P divided by 6 pls help me out pls pls

kirill115 [55]

Answer: P/6
I hope this helps!

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3 years ago

Help please will mark brainliest

labwork [276]

Answer:

150.80 sq ft

Step-by-step explanation:

Area of a cylinder = area of circle x length

r = 8/2 = 4

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3 years ago

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