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stealth61 [152]
3 years ago
5

What is the volume of a cube that measures 3.5 inches on each edge?

Mathematics
1 answer:
Bas_tet [7]3 years ago
4 0

Answer:

42.9 in

Step-by-step explanation:

Volume of a cube = side cubed

V = (3.5)^3

V = 42.875

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Use synthetic division to find P (-10) for P(x)=2x^3+14x^2-58x
Savatey [412]
The polynomial remainder theorem states that the remainder upon dividing a polynomial p(x) by x-c is the same as the value of p(c), so to find p(-10) you need to find the remainder upon dividing

\dfrac{2x^3+14x^2-58x}{x+10}

You have

..... | 2 ...  14  ... -58
-10 |    ... -20  ... 60
--------------------------
..... | 2 ...  -6  ....  2

So the quotient and remainder upon dividing is

\dfrac{2x^3+14x^2-58x}{x+10}=2x-6+\dfrac2{x+10}

with a remainder of 2, which means p(-10)=2.
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6 0
2 years ago
Suppose PV =NRT, where P=8, V=2X, N=2 and R=2X.you are given X=3. Solve for T
FromTheMoon [43]

Answer:  T = 4

Step-by-step explanation:

1. Write all the variables down

P = 8  V = 2X  N = 2  R = 2X  X = 3

2. Since you know that X = 3 substitute it in to find V and R

V = 2X = 2(3) = 6

R = 2X = 2(3) = 6

3. Find PV

PV = P x V

     = 8 x 6

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4. Find NRT

NRT = N x R x T

       = 2 x 6 x T

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       = 12T

5. Find T

PV = NRT

48 = 12T

12T = 48

divide both sides by 12

  T = 48 ÷ 12

  T = 4

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15:15

Which is simplified to
1:1

Hope this helps!
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3 years ago
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