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serious [3.7K]
3 years ago
7

For which rational expressions is 8 an excluded value? Check all that apply.

Mathematics
1 answer:
sukhopar [10]3 years ago
6 0

Answer:

im pretty sure its c and d

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Please help me i rlly need it
iogann1982 [59]

Answer:

8.2

Step-by-step explanation:

Use cosine law:

BC² = 7² + 9² - 2(7)(9)cos(60)

BC² = 67

BC = sqrt (67)

BC = 8.1853

BC = 8.2 (nearest tenth)

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What is the Mean Absolute Deviation of the following data set?<br> {23, 25, 28, 29, 30}
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Answer:

The mean absolute deviation is 2.4

Step-by-step explanation:

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3 years ago
A biologist observed a population of bacteria that grew at a rate expressed by the exponential equation
bearhunter [10]

Answer:

<em>It will take 26.34 minutes for the population to reach 5 times its initial value</em>

Step-by-step explanation:

<u>Exponential Growing</u>

The population of bacteria grows at a rate expressed by the equation:

f(t)=256e^{0.06111t}

Where t is in minutes.

We need to know when the population will reach 5 times its initial value. The initial value can be determined by setting t=0:

f(0)=256e^{0.06111\cdot 0}=256\cdot 1=256

Now we find the time when the population is 5*256=1,280. The equation to solve is:

1,280=256e^{0.06111t}

Dividing by 256:

e^{0.06111t}=1,280/256=5

Taking natural logarithms:

ln\left(e^{0.06111t}\right)=ln5

Applying the logarithm properties:

0.06111t=ln5

Solving for t:

t=ln5/0.06111=26.34

It will take 26.34 minutes for the population to reach 5 times its initial value

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4 years ago
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