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Olenka [21]
3 years ago
10

What is the remainder of (x 3 + 5x 2 − 32x − 7) ÷ (x − 4)?

Mathematics
1 answer:
Leto [7]3 years ago
8 0
(x^3+5x^2-32x-7)/(x-4)

x^2 remainder 9x^2-32x-7

9x  remainder 4x-7

4  remainder 9

(x-4)(x^2+9x+4)+9/(x-4)

The remainder is 9/(x-4)
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A force of 50 pounds is exerted at an angle of 80 with the horizontal. What is its horizontal component?
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Option A is the correct answer.

Explanation:

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Consider a vector F which is at angle θ⁰ to the horizontal, we can resolve this vector in to two.

Horizontal component = F cos θ

Vertical component = F sin θ

Here we have Force , F = 50 pounds

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Horizontal component = F cos θ = 50* cos 80 = 8.68 pounds

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Option A is the correct answer.

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Suppose a normal distribution has a mean of 38 and a standard deviation of 2. What is the probability that a data value is betwe
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P( (37 - 38) / 2 <  Z) =  P(-0.5 < Z)  

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P(-0.5 < Z < 1.5) =  1  - 0.3085 -  0.0668

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