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aivan3 [116]
3 years ago
15

What is the volume of the prism? *Do NOT round your answer.

Mathematics
2 answers:
natulia [17]3 years ago
7 0

Answer:

300 in³

Step-by-step explanation:

Hello There!

The prism shown is a rectangular prism

The formula for volume of a rectangular prism is

Volume=lwh

where l = length w = width h = height

so we are given all of the dimensions so to find the volume all we have to do is plug in the values into the formula

so

V=10*5*6\\10*5=50\\50*6=300\\V=300 in^3

Assoli18 [71]3 years ago
6 0

Answer:

the volume of the prism=length ×breadth ×height =10×5×6=<em>300in³ </em>

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Solving Quadratic Equations with Complex SolutionsThe discriminant: D=b^2-4acQuestion:5x^2-2x+1=0
fomenos

• The value of the discriminant ,D= -16

,

• The solution to the quadratic equation is

x=\frac{1+2i}{5}\text{     or    }\frac{1-2i}{5}

Step - by - Step Explanation

What to find?

• The discriminant d= b² - 4ac

,

• The solution to the quadratic equation.

Given:

5x² - 2x + 1=0

Comparing the given equation with the general form of the quadratic equation ax² + bx + c=0

a=5 b=-2 and c=1

Uisng the quadratic formula to solve;

x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}

The discriminant D=b² - 4ac

Substitute the values into the discriminant formula and simplify.

D = (-2)² - 4(5)(1)

D = 4 - 20

D = -16

We can now proceed to find the solution of the quadratic equation by substituting into the quadratic formula;

x=\frac{-(-2)\pm\sqrt[]{-16}}{2(5)}

Note that:

√-1 = i

x=\frac{2\pm\sqrt[]{16\times-1}}{10}

x=\frac{2\pm\sqrt[]{16}\times\sqrt[]{-1}}{10}x=\frac{2\pm4i}{10}x=\frac{2}{10}\pm\frac{4i}{10}x=\frac{1}{5}\pm\frac{2}{5}ix=\frac{1\pm2i}{5}

That is;

\text{Either x=}\frac{1+2i}{5}\text{ or     x=}\frac{1-2i}{5}

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Bob decided to go to college, the cost of going to school will be $4,474 per semester, (there are 2 semesters per year) plus $38
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Answer:

Step-by-step explanation:

1 semester = 4474

8 semester = 8* 4474                    35792

1 semester books = 389

8 semester books = 8* 389            <u> 3112 </u>

Total                                                38904  

If he is going to pay this off in 10 years, he would have to have an increase of 3890.40 (after all income taxes) to pay it off. Fewer years would mean dividing by the number of years.

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That number is obtained by dividing 38904 / 8

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38904/6 = 6484 extra dollars.        

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