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yarga [219]
2 years ago
8

Find the quotient. Simplify your answer.

Mathematics
1 answer:
brilliants [131]2 years ago
8 0

Let's see

\\ \rm\Rrightarrow \dfrac{s+1}{s^2+1}\div \dfrac{s^2}{6s^2}

\\ \rm\Rrightarrow \dfrac{s+1}{s(s+1)}\div\dfrac{1}{5s^2}

\\ \rm\Rrightarrow \dfrac{1}{s}\times{5s^2}

\\ \rm\Rrightarrow \dfrac{5s^2}{s}

\\ \rm\Rrightarrow 5s

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It would be 13 and 1/2
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3 years ago
The population of a small town is decreasing exponentially at a rate of 14.3% each year. The current population is 9,400 people.
KonstantinChe [14]

Using an exponential function, the inequality is given as follows:

9400(0.857)^t < 6000

The solution is t > 2.9, hence the tax status will change within the next 3 years.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^t

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

For this problem, the parameters are given as follows:

A(0) = 9400, r = 0.143.

The population after t years is modeled by:

A(t) = A(0)(1 - r)^t

A(t) = 9400(1 - 0.143)^t

A(t) = 9400(0.857)^t

The tax status will change when:

A(t) < 6000

Hence the inequality is:

9400(0.857)^t < 6000

Then:

(0.857)^t < \frac{6000}{9400}

\log{(0.857)^t} < \log{\left(\frac{6000}{9400}\right)}

t\log{0.857} < \log{\left(\frac{6000}{9400}\right)}

Since both logs are negative:

t > \frac{\log{\left(\frac{6000}{9400}\right)}}{\log{0.857}}

t > 2.9.

The solution is t > 2.9, hence the tax status will change within the next 3 years.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

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2 years ago
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3 years ago
A ramp into a building forms an 8° angle with the ground. If the entry point of the ramp is 7 feet from the building, how many f
frosja888 [35]

Answer: The correct answer is A) 0.98 feet

Step-by-step explanation: I took the test and got it correct.

8 0
4 years ago
2/5 times 8/15 didided by 1/4
MA_775_DIABLO [31]

Answer: 64/75 or .85333333

Step-by-step explanation:

2/5*8/15=16/75

16/75÷1/4=16/75*4/1

Because dividing by a number is the same as multiplying by the reciprocal

16/75*4/1=64/75

64/75=0.85333333

3 0
3 years ago
Read 2 more answers
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