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Sergio039 [100]
2 years ago
3

Simplify 3 x n x p x 6

Mathematics
2 answers:
Brilliant_brown [7]2 years ago
4 0
18 x to the power 3 n p
vovikov84 [41]2 years ago
3 0

Answer:18np

Step-by-step explanation:

3 x n x p x 6=18np

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Since -56897 -(-17) = -56897 + 17 is less negative than
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John can type 2/3 of a manuscript in 12 hours. How much of the manuscript can John write in 1 hour?
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A rectangular piece of plywood has a diagonal which measures two feet more than the width. The length of the plywood is twice th
icang [17]

Answer:

The length of the plywood's diagonal(to the nearest tenth) is, 3.6 and 1.4

Step-by-step explanation:

let l be the length and w be the width of the rectangle respectively;

Diagonal(D) of a rectangle is given by:

D = \sqrt{l^2+w^2}                              ......[1]

As per the given statement we have;

Diagonal(D) = width + 2

and

l = 2 \times w = 2w

Now, substitute these in  [1] we have;

\sqrt{(2w)^2+w^2} = w+5

Squaring both the sides we get;

4w^2+w^2 = (w+2)^2

5w^2 = w^2 + 4 + 4w

or

5w^2 -w^2 = 4w + 4 or

4w^2= 4w + 4

Simplify:

w^2-w-1 =0                         ......[2]

The quadratic equation is in the form  of ax^2+bx+c = 0

the solution is given by:  x = \frac{-b \pm\sqrt{b^2-4ac}}{2a}

On comparing with [1] we get

a= 1 , b = -1 and c = -1

Then the solution is:

w= \frac{-(-1) \pm\sqrt{(-1)^2-4(1)(-1)}}{2(1)}

w =\frac{1 \pm\sqrt{1+4}}{2} = \frac{1 \pm\sqrt{5}}{2}

Simplify:

w \approx 1.62 and w \approx -0.62

Then, the diagonal D = w+2

For w \approx 1.62

D = 1.62 +2 \approx 3.62

For w \approx -0.62

D =-0.62 +2 \approx 1.38

therefore, the length of the plywood's diagonal(to the nearest tenth) is, 3.6 and 1.4





5 0
2 years ago
On a coordinate plane, polygon GHIJ translates 8 units to the left to form polygon G'H'I'J'. Which of the following equations is
lana66690 [7]
A. True. This is because distances are preserved and kept the same. 

B. True. Moving any point to it's corresponding image is having you travel 8 units.

C. True. Corresponding angles are congruent. 

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2 years ago
On Monday, the ABC Company stock was at $12.80 per share. On Tuesday it gained $3.42, and then lost $9.70 on Wednesday. What is
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Answer:

Step-by-step explanation:

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6 0
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