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icang [17]
3 years ago
11

A garden has a diameter of 8 yards. What is the area of the garden. use 3.14 for pi.

Mathematics
1 answer:
Alex17521 [72]3 years ago
6 0
The volume of a gas in a container varies inversely with the pressure on the gas. If a gas has a volume of <span>250 </span>cubic inches under a pressure of<span>
</span><span>4 </span>pounds per square inch, what will be its volume if the pressure is increased to 20 pounds per square inch? (Round off your answer to the nearest cubic inch.) 
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Find the​ fourth-degree polynomial function with zeros 4​, -4, 4i ​, and -4i . Write the function in factored form.
Iteru [2.4K]

Given:

A fourth-degree polynomial function has zeros 4​, -4, 4i ​, and -4i .

To find:

The fourth-degree polynomial  function in factored form.

Solution:

The factor for of nth degree polynomial is:

P(x)=(x-a_1)(x-a_2)...(x-a_n)

Where, a_1,a_2,...,a_n are n zeros of the polynomial.

It is given that a fourth-degree polynomial function has zeros 4​, -4, 4i ​, and -4i. So, the factor form of given polynomial is:

P(x)=(x-4)(x-(-4))(x-4i)(x-(-4i))

P(x)=(x-4)(x+4)(x-4i)(x+4i)

P(x)=(x-4)(x+4)(x^2-(4i)^2)           [\because a^2-b^2=(a-b)(a+b)]

On further simplification, we get

P(x)=(x-4)(x+4)(x^2-4^2i^2)

P(x)=(x-4)(x+4)(x^2+16)                [\because i^2=-1]

Therefore, the required fourth degree polynomial is P(x)=(x-4)(x+4)(x^2+16).

6 0
2 years ago
What is the Surface area of a cylinder with a radius of 5in and height of 4in
9966 [12]

Answer:

282.74in 2

Step-by-step explanation:

r Radius = 5in

h Height = 4in

3 0
3 years ago
You have been saving $12 each week for many weeks. One day, you decide to count your savings and find that you have $384. Choose
Alex_Xolod [135]

Answer:

D or the last one.

Step-by-step explanation:

Honestly, you got me kinda confused. Is it saying that there is multiple equations to answer this? Well anyways, D would be the answer. When the variable (w) is beside the coefficient, it means you multiple them together. (W) standing for weeks multiplied by 12 which is how much you earn each week would get you the total amount. The rest just don't make sense.

4 0
3 years ago
Mickey used these calculations to find how much he would spend on 7 cartons of eggs, if 12 cartons of eggs cost $22.20. Describe
Stels [109]

Answer: you would divide the total price of $22.20 by the amount of cartons, which is 12, giving you the unit rate of $1.85 per carton. the unit rate, $1.85 multiplied by 7 is $12.95, so it would cost $12.95 for 7 cartons of eggs

Step-by-step explanation:

5 0
3 years ago
Use Substitution to solve the following System of Equations.<br> y=-22 - 4<br> y = 4x + 2<br> Oh
Elan Coil [88]

Answer:

X=4

Y=18

I think

7 0
3 years ago
Read 2 more answers
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