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2 years ago

5

Suppose we call a number funny if it is the product of three prime factors, of which exactly two are the same. (For example: 12=

2*2*3, so 12 is funny.) What is the total number of funny numbers between 30 and 60?

1 answer:

Schach [20]2 years ago

6 0

Step-by-step explanation:

31 37 41 43 47 51 53 57 59

are the prime numbers between 30 and 60

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Analysis of an accident scene indicates a car was traveling at a velocity of 69.5 mph (31.1 m/s) along the positive x-axis at th

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We can find the acceleration via

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We have

$\left(5.20\dfrac{\rm m}{\rm s}\right)^2-\left(31.1\dfrac{\rm m}{\rm s}\right)^2=2a(115\,\mathrm m)$

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Then by definition of average acceleration,

$a_{\rm ave}=\dfrac{v_f-v_i}t$

so that

$-4.09\dfrac{\rm m}{\mathrm s^2}=\dfrac{5.20\frac{\rm m}{\rm s}-31.1\frac{\rm m}{\rm s}}t$

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We alternatively could have found the time without knowing the acceleration. Since acceleration is constant, the average velocity is

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Then

$\dfrac{115\,\rm m}t=\dfrac{5.20\frac{\rm m}{\rm s}+31.1\frac{\rm m}{\rm s}}2$

$\implies\boxed{t=6.33\,\mathrm s}$

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<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>

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