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Doss [256]
3 years ago
5

How many positive integers not exceeding 1000 are not divisible by either 4 or 6?

Mathematics
1 answer:
san4es73 [151]3 years ago
7 0
\left\lfloor\dfrac{1000}4\right\rfloor=250

\left\lfloor\dfrac{1000}6\right\rfloor=166

\left\lfloor\dfrac{1000}{\mathrm{lcm}(4,6)}\right\rfloor=\left\lfloor\dfrac{1000}{12}\right\rfloor=83

250+166-83=333
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Find the range of the following equation for the domain {-4, 0, 3} f (x) = -2x^2 -3
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The range of the function is {-34, -2, -20}

<h3>How to determine the range?</h3>

The function is given as:

f(x) = -2x^2 - 2

The domain is {-4, 0, 3}

Substitute the domain values in the function.

f(-4) = -2(-4)^2 - 2 = -34

f(0) = -2(0)^2 - 2 = -2

f(3) = -2(3)^2 - 2 = -20

This means that the range of the function is {-34, -2, -20}

Read more about range at:

brainly.com/question/10197594

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2 years ago
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forsale [732]
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8 0
3 years ago
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3 years ago
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Write the direction cosines of the vector -21-5k​
AlekseyPX

Answer:

a=-2î+j-5k

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a = √√4+1+25

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6 0
3 years ago
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shutvik [7]

Answer:

5. 9 8. 2\sqrt{10}

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a²+b²=c²

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For #8

9²+b²=11²

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b²=40

b=\sqrt{40}

\sqrt{40}=

2\sqrt{10}

6 0
4 years ago
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