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VladimirAG [237]
3 years ago
5

Farmer Jim is building a new chicken coop in the shape of a rectangular prism. He needs the height of the coop to be 2 feet shor

ter than the width, and needs the length of the coop to be 10 feet longer than the width.
Create an equation to represent the volume of the chicken coop, y, in terms of the width, x, in feet. Enter the equation in the field by replacing the values of a, b, c, and d.

y = ax^3 + bx^2 + cx + d
Mathematics
2 answers:
Nataly [62]3 years ago
6 0
Let the width of the coop be x. Then the height is x - 2, and the length is x + 10. Then the volume of the coop (a rectangular prism) is:
y = x(x-2)(x+10) = x^3 + 8x^2 - 20x
Based on the given format, this means that:
a = 1
b = 8
c = -20
d = 0
Greeley [361]3 years ago
5 0

Answer:

y=x^3+8x^2-20+0

Step-by-step explanation:

x(x-2)(x+10)

x= width x-2= height x+10=length

Distribute x

(x^2-2x)(x+10)

Use FOIL method

x^3 + 10x^2 - 2x^2 -20x

Simplify

x^3 + 8x^2 - 20x + 0

Therefore y=x^3+8x^2-20+0

(Got correct in Plato :) )

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Answer:

g(g(-2))

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-32

This is the correct solution

8 0
3 years ago
Samir is an expert marksman. When he takes aim at a particular target on the shooting range, there is a 0.950.950, point, 95 pro
bearhunter [10]

The question is incomplete. Here is the complete question:

Samir is an expert marksman. When he takes aim at a particular target on the shooting range, there is a 0.95 probability that he will hit it. One day, Samir decides to attempt to hit  10 such targets in a row.

Assuming that Samir is equally likely to hit each of the 10 targets, what is the probability that he will miss at least one of them?

Answer:

40.13%

Step-by-step explanation:

Let 'A' be the event of not missing a target in 10 attempts.

Therefore, the complement of event 'A' is \overline A=\textrm{Missing a target at least once}

Now, Samir is equally likely to hit each of the 10 targets. Therefore, probability of hitting each target each time is same and equal to 0.95.

Now, P(A)=0.95^{10}=0.5987

We know that the sum of probability of an event and its complement is 1.

So, P(A)+P(\overline A)=1\\\\P(\overline A)=1-P(A)\\\\P(\overline A)=1-0.5987\\\\P(\overline A)=0.4013=40.13\%

Therefore, the probability of missing a target at least once in 10 attempts is 40.13%.

6 0
3 years ago
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On average, 6 traffic accidents occur every 3 months at a certain intersection.
lions [1.4K]
The answer to this question is 2/3.
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3 years ago
Help me please I need it
7nadin3 [17]

Answer:

A

Step-by-step explanation:

The formula for a rectangular prism is length*width*height. Thus, the equation would be 6*4*16, which equals 384 cm^3.

6 0
2 years ago
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