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3 years ago

12

A rectangular box has a square base. The combined length of a side of the square base, and the height is 20 in. Let x be the len

gth of a side of the base of the box.
Write a polynomial function in factored form modeling the volume V of the box.

2 answers:

zmey [24]3 years ago

7 0

Function is in the attachment below.

xxMikexx [17]3 years ago

4 0

V = (l)(w)(h)
V = (x)(x)(20-x)
V = x²(20-x)
V = -x³ + 20x²

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Nimfa-mama [501]

Answer:

<em>-1</em>

Step-by-step explanation:

1. A water wheel rung’s height as a function of time can be modeled by the equation:

h - 8 = -9 sin6t

(b) Determine the maximum height above the water for a rung.

Given the rung's height modeled by the equation;

h - 8 = -9 sin6t

h(t) = -9sin6t + 8

At maximum height, the velocity of the rung is zero;

dh/dt = 0

dh/dt = -54cos6t

-54cos6t = 0

cos6t = 0/-54

cos6t = 0

6t = cos^-1(0)

6t = 90

t = 90/6

t= 15

Substitute t = 15 into the expression to get the maximum height;

Recall:

h(t) = -9sin6t + 8

h(15) = -9sin6(15) + 8

h(15) = -9sin90 + 8

h(15) = -9(1)+8

h(15) = -9+8

<em>h(15) = -1</em>

<em>hence the maximum height above the water is -1</em>

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2 years ago

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3 years ago

A Ferris wheel has a diameter of 42 feet. It rotates 3 times per minite. Approximately how far will a passenger travel during a

UkoKoshka [18]

Hello!

First of all we will need to find the circumference, as it is the distance around the wheel. We will use 3.14 for pi.

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131.88(3)=395.64

Now we multiply by 5 to see five minutes.

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I hope this helps!

5 0

3 years ago

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I try to look this up and people said yes or no I just need a straight answer

Anna11 [10]

start inside the square root, replace X with -7.

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The number 4 comes out of the square root as 2.

Now there's a minus factor out there. Let's multiply this negative factor by 2 and get -2.

Now let's add -2 and -3.

Our output is -5.

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2 years ago

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Deffense [45]

Answer:

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Step-by-step explanation:

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2 years ago

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