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Anuta_ua [19.1K]
3 years ago
13

A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet. (If an answer does

not exist, enter DNE.) f(t) = t3 − 8t2 + 27t
Mathematics
1 answer:
NNADVOKAT [17]3 years ago
6 0

The question is not clear, but it is possible to obtain distance, s, from the given function. This, I would show.

Answer:

s = 17 units

Step-by-step explanation:

Given f(t) = t³ - 8t² + 27t

Differentiating f(t), we have

f'(t) = 3t² - 16 t + 27

At t = 0

f'(t) = 27

This is the required obtainaible distance, s.

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Two buses leave towns 304 miles apart at the same time and travel toward each other. One bus travels 14 mih slower than the othe
8090 [49]

Answer:

The faster bus moves at 83mi/h and the slower one moves at 69mi/h.

Step-by-step explanation:

Let's define:

R₁ = rate of bus 1, this is the faster one.

R₂ = rate of bus 2, this is the slower one.

We know that one bus travels 14mi/h slower, then:

R₂ = R₁ - 14mi/h.

Now we know that:

Distance = Speed*Time.

If we add the distances that both busses travel in 2 hours, it should be equal to the initial distance between the buses, then:

R₁*2h + R₂*2h = 304 mi

Then we have the two equations:

R₂ = R₁ - 14mi/h

R₁*2h + R₂*2h = 304 mi

The first step is to replace the first equation in the second one, to get:

R₁*2h + (R₁ - 14mi/h)*2h = 304 mi

And now we can solve this for R₁.

R₁*2h + R₁*2h - 14mi/h*2h = 304 mi

R₁*4h - 28mi = 304mi

R₁*4h = 304mi + 28mi = 332mi

R₁ = 332mi/4h = 83mi/h

The faster bus moves at 83mi/h

And we know that the slower one moves at 14mi/h slower than this, then:

R₂ = R₁ - 14mi/h = 83mi/h - 14mi/h = 69 mi/h

7 0
2 years ago
The slopes of perpendicular lines are _______ reciprocals.
MariettaO [177]
The negative reciprical


7 0
3 years ago
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jeka57 [31]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
What is the multiplicative inverse of 3y2?
kolbaska11 [484]

Answer:

A multiplicative inverse is a reciprocal. ... A reciprocal is one of a pair of numbers that when multiplied with another number equals the number 1. For example, if we have the number 7, the multiplicative inverse, or reciprocal, would be 1/7 because when you multiply 7 and 1/7 together, you get 1!

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3 years ago
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An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with
goblinko [34]

Answer:

Step-by-step explanation:

54 customers paid with cash

42 paid with debit card

153 paid with credit card

Add them up to find the total amount of people:

54 + 42 + 153 = 249

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54/249

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