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Naily [24]
3 years ago
5

On a certain island there are two populations of deer. after t years the numbers of deer in the two populations are p(t)=100et a

nd q(t)=1000e−t. when is the total population smallest?
Mathematics
1 answer:
nasty-shy [4]3 years ago
6 0
<span>t = .602 years = between 7 and 8 months</span>
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A hollow ball is made of rubber that is 1 centimeter thick. The ball has a radius of 5 centimeters at the outside surface.
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Given that the ball has a thickness of 1 cm and the radius at the outside is 5 cm, thus the radius from inside is 5 - 1 = 4cm.

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i.e.
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<span>Volume\ of\ rubber= \frac{4}{3} \pi\left(5^3-4^3\right) \\  \\ = &#10;\frac{4}{3} \pi(61)= \frac{244}{3} \pi\approx255.5\ cm^3</span>
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2 years ago
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2 years ago
Find the exact value of sin (x-y) if sinx=4/9 and siny=1/4
Svetach [21]

Answer:

sin(x - y) = 0.21

Step-by-step explanation:

we have the sin values which we need to get cos values

sin (A-B) = sin A cos B - sin B cos A

sin² A + cos² A = 1

sin x = 4/9

cos² x = 1 - sin² x = 1 - 16/81 = 65/81

cos² x = 65/81

cos x = √65/9

sin y = 1/4

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cos² y = 15/16

cos y = √15/4

sin(x − y) = sin x cos y - sin y cos x

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sin(x - y) = (4√15-√65)/36

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3 years ago
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The number of subsets of a set is 256, and the number of subsets of a set is 128. If | ∪ | = 2 × | ∩ |, then what is the value of | ∩ |? and what will be the number of subsets of the set ∩ ?

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