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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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The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 800 voters i
Hunter-Best [27]

Answer:

A political strategist wants to test the claim that the percentage of residents who favor construction is more than  30%, so then that represent our claim and needs to be on the alternative hypothesis.

Based on this the correct system of hypothesis are:

Null hypothesis: p \leq 0.3

Alternative hypothesis p >0.3

Step-by-step explanation:

We have the following info given from the problem:

n= 800 the random sample of voters selected from the town

\hat p = 0.34 represent the proportion of residents favored construction

p_o = 0.30 represent the value desired to test.

A political strategist wants to test the claim that the percentage of residents who favor construction is more than  30%, so then that represent our claim and needs to be on the alternative hypothesis.

Based on this the correct system of hypothesis are:

Null hypothesis: p \leq 0.3

Alternative hypothesis p >0.3

And in order to test this hypothesis we can use a one sample z test for a population proportion and the statistic would be given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

And with the data given we have:

z=\frac{0.34 -0.3}{\sqrt{\frac{0.3(1-0.3)}{800}}}=2.469  

7 0
2 years ago
Y = x/3 - 4<br> Change this equation into y=mx+b form
dusya [7]
Y=3x+4 beacause the slope is m and b is the y-intercept
5 0
3 years ago
Read 2 more answers
Which ordered pair is a solution of the equation?<br> -3x – y = 6<br> Choose 1 answer:
Aleks [24]

Answer:

Step-by-step explanation:

I can not see your answers to choose but with this equation for 2 variables, you can replace the values of x and y and see if that is right or not.

For example, to know (-2,5) is a solution, you replace x= -2 and y= 5

into this equation: -3x -y = 6

and you have: -3*(-2) -5 =6

or 6-5 =6, and you find that is impossible, so (-2.5) is not a solution.

Hope you understand it

5 0
3 years ago
In the graph shown, suppose that f(x) = ax, g(x) = bx, and h(x) = cx. Choose the true statement.
faltersainse [42]
Where a, b, and c are real numbers and a ≠ 0 . The quadratic term is ax 2 , the linear term is bx, and the constant term is c. Quadratic functions have degree two. The graph of a quadratic function is called a parabola. If a < 0, then the parabola opens downward, like function g. If a > 0, then the parabola opens upward like function f. If the parabola opens upward, then the vertex is the point whose yvalue is the minimum value of f. If the parabola opens downward, then the vertex is the point whose y-value is the maximum value of f. The vertical line that goes through the vertex is called the axis of symmetry of the parabola.
5 0
3 years ago
Read 2 more answers
Can someone help me please!!!
Andre45 [30]

Answer: 3

<u>Explanation:</u>

Since we want the least number of integers, divide by the largest integer (9).

2018 ÷ 9 = 224 remainder 2

So, N = 2999...999 <em>(there are 224 of the 9's) </em>

Thus, N + 1 = 2999...999 + 1 <em>(there are 224 of the 9's) </em>

<em>                   </em>= 3000...000     <em>(there are 224 of the 0's) </em>

The sum of the digits is: 3 + 0 + ... + 0  <em>(there are 224 of the 0's) </em>

                                      = 3

6 0
3 years ago
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