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Zepler [3.9K]
3 years ago
5

S ={x|x are numbers completely divisible by 5 and x<100}

Mathematics
1 answer:
Liula [17]3 years ago
7 0

Answer:

Step-by-step explanation:3

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The product of two numbers is -30, but their sum is -13. What are these two numbers?
Nata [24]
<h3>Answer:  -15 and 2</h3>

You find this through trial and error.

A much more efficient way is to solve x^2-13x-30 = 0 using the quadratic formula. You'll find the two solutions to be x = 15 and x = -2

Going from those solutions, we get x-15 = 0 and x+2 = 0 which then turn into (x-15)(x+2) = 0 through the zero product property.

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A laundry owner's estimate of her weekly profits, is given by the equation p=-4w2+160w, where w represent the number of workers
kirza4 [7]

Answer:

Number of workers = 20.

Step-by-step explanation:

p = - 4w^2 + 160 w

We need to find the value of w when p is a maximum.

We need to convert the equation to vertex form:

p = -4w^2 + 160w

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p =  -4(x - 20)^2 + 1600.

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The maximum profit is 1600 and the number of workers = 20.

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3 years ago
Find the exact value
ivann1987 [24]

Answer:

A

Step-by-step explanation:

cos~ \theta=\sqrt{1-sin^2 \theta} =\sqrt{1-(\frac{1}{2})^2 } =\frac{\sqrt{3} }{2} \\1+cos~\theta=2cos^2\frac{\theta}{2} \\1+\frac{\sqrt{3}}{2} =2~cos^2 \frac{\theta}{2} \\cos^2\frac{\theta}{2} =\frac{2+\sqrt{3}}{2 \times 2} \\cos \frac{\theta}{2} =\frac{\sqrt{2+\sqrt{3}}}{2} \\1-cos \theta=2 ~sin^2\frac{\theta}{2} \\1-\frac{\sqrt{3}}{2}=2~sin^2 \frac{\theta}{2} \\sin^2 \frac{\theta}{2} =\frac{2-\sqrt{3} }{2 \times 2} \\sin \frac{\theta}{2}=\frac{\sqrt{2-\sqrt{3} } }{2}

as 0≤θ≤90

so θ/2 is also in 0≤θ≤90

hence sin θ/2 and cos θ/2 are positive.

3 0
3 years ago
What is the answer to 10-A=3
nikitadnepr [17]
-A=-7
A=7 would be the answer.
3 0
3 years ago
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