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3 years ago

11

Jude estimates that his index finger is 3 inches long. He calculates the circumference of one of his bongo drums to be 27 inches

. Suppose Jude used his finger as a referent to measure the circumference of the drum. How many finger lengths along the circumference of the drum would he have counted?

1 answer:

anzhelika [568]3 years ago

7 0

Answer: 9 finger lengths

Step-by-step explanation: Since the circumference is the middle line passing through (usually a circle....) 27/3 equals 9, which basically means that 9 of Jude's index fingers can pass through the circumference of one of his bongo drums. Hope this helps, 15402256.

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3 years ago

Express the ratio 14 inches to 3 feet as a fraction in simplest form

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3 years ago

The position function of a particle in rectilinear motion is given by s(t) = 2t3 – 21t2 + 60t + 3 for t ≥ 0 with t measured in s

Norma-Jean [14]

The positions when the particle reverses direction are:

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Why?

To solve the problem, we need to remember that if we derivate the position function, we will get the velocity function, and if we derivate the velocity function, we will get the acceleration function. So, we will need to derivate two times.

Also, when the particle reverses its direction, the velocity is equal to 0.

We are given the following function:

$s(t)=2t^{3}-21t^{2}+60t+3$

So,

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$v(t)=\frac{ds}{dt}=(2t^{3}-21t^{2}+60t+3)\\\\v(t)=3*2t^{2}-2*21t+60*1+0\\\\v(t)=6t^{2}-42t+60$

Now, making the function equal to 0, to find the times when the particle reversed its direction, we have:

$v(t)=6t^{2}-42t+60\\\\0=6t^{2}-42t+60\\\\0=t^{2}-7t+10\\(t-5)*(t-2)=0\\\\t_{1}=5s\\t_{2}=2s$

We know that the particle reversed its direction two times.

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$a(t)=\frac{dv}{dt}=6t^{2}-42t+60\\\\a(t)=12t-42$

Now, substituting the times to calculate the accelerations, we have:

$a(t_1)=a(2s)=12*2-42=-18\frac{ft}{s^{2}}\\ \\a(t_2)=a(5s)=12*5-42=18\frac{ft}{s^{2}}$

Now, substitutitng the times to calculate the positions, we have:

$s(t_1)=2*(2)^{3}-21*(2)^{2}+60*2+3=16-84+120+3=55ft\\\\s(t_2)=2*(5)^{3}-21*(5)^{2}+60*5+3=250-525+300+3=28ft$

Have a nice day!

3 0

3 years ago

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juin [17]

Answer:

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Step-by-step explanation:

Given

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Required

The equation of the function

The given parameters means that:

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Open bracket

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Take LCM

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