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horsena [70]
3 years ago
5

Multiply. give your answer in standard form. (2n^2-7n+2)*(3n+1)

Mathematics
1 answer:
noname [10]3 years ago
6 0
For this case we have the following polynomials:
 (2n ^ 2-7n + 2)
 (3n + 1)
 Multiplying we have:
 (2n ^ 2-7n + 2) * (3n + 1)
 (6n ^ 3-21n ^ 2 + 6n) + (2n ^ 2-7n + 2)
 Rewriting we have:
 6n ^ 3 + n ^ 2 (-21 + 2) + n (6-7) + 2
 6n ^ 3 - 19n ^ 2 - n + 2
 Answer:
 
6n ^ 3 - 19n ^ 2 - n + 2
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A large washer has an outer radius of 10mm and a hole with a diameter of 14mm. What is the area of the top surface of the washer
choli [55]
<h2>Answer:</h2>

The area of the top surface of the washer is:  160.14 square mm.

<h2>Step-by-step explanation:</h2>

The top of the surface is in the shape of a annulus  with a outer radius of 10 mm and a inner radius of 7 mm ( since the diameter of the hole is: 14 mm and we know that the radius is half of the diameter)

Now, we know that the area of the annulus region is given by:

Area=\pi (R^2-r^2)

where R is the outer radius and r is the inner radius.

Here we have:

R=10\ mm\\\\and\\\\r=7\ mm

Hence, we have:

Area\ of\ top\ surface=\pi (10^2-7^2)\\\\i.e.\\\\Area\ of\ top\ surface=\pi (100-49)\\\\i.e.\\\\Area\ of\ top\ surface=\pi\cdot 51\\\\i.e.\\\\Area\ of\ top\ surface=160.14\ mm^2

4 0
3 years ago
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The picture below shows a portion of a river dam:
NNADVOKAT [17]
Hello,

If you are starting with the angle of 40 degrees, you have an adjacent side and hypotenuse. Therefore, it is a cosine relationship.

We can write:

cos(40) = adj / hyp
cos(40) = x / 220

To solve for x, simply multiply 220 by the cos(40).
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X+13/2=4 what x equal
Harlamova29_29 [7]

Step-by-step explanation:

x+13÷2×2=4×2

x+13=8

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3 years ago
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The length of a rectangle is three times its width. if the area of the rectangle is 75 in2, find its perimeter.
UkoKoshka [18]

Answer:

  40 in

Step-by-step explanation:

For a width of w, the length is 3w and the area and perimeter are ...

  A = LW = (3w)(w) = 3w^2

  P = 2(L+W) = 2(3w +w) = 8w

We are given the area, so we can find w to be ...

  75 in^2 = 3w^2

  25 in^2 = w^2 . . . . . divide by 3

  5 in = w . . . . . . . . . square root

Then the perimeter is ...

  P = 8w = 8(5 in) = 40 in

7 0
3 years ago
Use the table below to find f ( 4) - f (0) + f(-8), Choose your correct response from the options below.
marshall27 [118]

Answer:

-4f

Step-by-step explanation:

Hi! Let's work on simplifying this.

f(4) = 4f

f(0) = 0, because anything x 0 is 0

f(-8) = -8f

Our equation is 4f + -8f

We can get rid of the plus negative...

4f - 8f

So we get:

-4f

6 0
3 years ago
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