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vodka [1.7K]
4 years ago
7

7÷10p^3 ÷ 2÷ 8p^2 please help

Mathematics
1 answer:
Y_Kistochka [10]4 years ago
5 0
7p^5/160 is the answer
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I need to algebraically prove that a polynomial I created is true for a project.
natta225 [31]

The factors are

(x-y)(x-y)
or
(x-y)^2

Explanation:

We need to factor the trinomial
x^2-2xy+y^2

The factors of x^2 = (x)(x)
The factors of y^2 = (y)(y)

Since the second sign is positive we are adding the factors meaning the signs of the factors need to be the same. Since the first sign is negative both signs must be negative.

The factors are

(x-y)(x-y)
or
(x-y)^2

Check by FOIL
Firsts (x)(x) = x^2
Outers (x)(-y) = -xy
Inners (-y)(x) = -xy
Lasts (-y)(-y) = y^2
combine the middle terms
(-xy)+(-xy) = -2xy

<span>x^2-2xy+y^2</span>

7 0
3 years ago
Two pyramids are similar. The volume of the larger pyramid is 125 mº and the volume of the smaller pyramid is 27 mº. The height
GREYUIT [131]

Answer:

5 m

Step-by-step explanation:

\sqrt[3]{125} = 5

3 0
3 years ago
IM BEING TIMED PLEASE HELP!! Which relation diagram represents a function?
sesenic [268]

Answer:

Option 1 I believe

Step-by-step explanation:

6 0
3 years ago
The speed of light is 186,182 miles per second. How many miles can light travel in a non-leap year? Express your answer in scien
zepelin [54]
So theres 366 days in a leap year, 
you need to find hours, minutes, and then seconds
366 x 24 = 8,784 hours 
8,784 x 60 = 527,040 minutes
527,040 x 60 = 31,622,400 seconds
31,622,400 seconds x 186,182 mps = 5.88 x 10^10 
therefore light travels 5.88 x 10^10 in one leap year
7 0
3 years ago
Mrs. Adams deposited $12,000 into an account that earns an annual simple interest rate of 3.25%. She makes no other deposits or
lisabon 2012 [21]

Answer:

<em>Mrs. Adams will earn $3,120 of interest at the end of year 8.</em>

Step-by-step explanation:

<u>Simple Interest</u>

In simple interest, the money earns interest at a fixed rate, assuming no new money is coming in or out of the account.

We can calculate the interests earned by an investment of value A in a period of time t, at an interest rate r with the formula:

I=A.r.t

Mrs. Adams deposited an amount of A=$12,000 into an account that earns an annual simple interest rate of r=3.25%. We must find the interest earned in t=8 years. The interest rate is converted to decimal as:

r=3.25/100=0.0325

The interest is then calculated:

I=12,000\cdot 0.0325\cdot 8=3,120

Mrs. Adams will earn $3,120 of interest at the end of year 8.

7 0
3 years ago
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