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almond37 [142]
3 years ago
11

If f(x) = -9x – 7, then f-'(x) = Enter the correct answer.

Mathematics
1 answer:
Debora [2.8K]3 years ago
6 0
The derivative would be f'(x)= -9
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Given a force of 10N and an acceleration of 5m/s? What is the mass?
likoan [24]

Answer:

<h3>2kg = mass</h3>

Step-by-step explanation:

<h3>What is the mass?</h3>

Mass is a body of matter without definite shape.

Use the Newton's second law of motion formula.

Note: \longrightarrow \sf{F=M*A}

<u>Given:</u>

  • Force = 10N
  • Acceleration = 5m/s

First thing you do is divide.

10/5=2

= 2kg (mass)

Therefore, the final answer is 2kg (mass).

I hope this helps, let me know if you have any questions.

To learn more about the mass:

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5 0
2 years ago
Suppose the lifetime of a cell phone battery is normally distributed with a mean of 36 months and a standard deviation of 2 mont
solong [7]

Answer:

They should guarantee the lifetime of their batteries for 32 months.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 36 months and a standard deviation of 2 months.

This means that \mu = 36, \sigma = 2

If the company wants to replace no more than 2% of all batteries, for how many months should they guarantee the lifetime of their batteries?

The guarantee should be the 2th percentile of lengths, which is X when Z has a pvalue of 0.02. So X when Z = -2.054.

Z = \frac{X - \mu}{\sigma}

-2.054 = \frac{X - 36}{2}

X - 36 = -2.054*2

X = 31.89

Rounding to the closest month, 32.

They should guarantee the lifetime of their batteries for 32 months.

3 0
3 years ago
Julie runs a catering business. Last year she catered 212 dinner events and 148 lunch events. Which proportion could be used to
siniylev [52]

Answer:

Step-by-step explanation:

the percent = # of dinner events/(total # of events)

= 212/(212 + 148)

= 212/360

= 0.5889

= 58.89%

3 0
3 years ago
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How to find the rate in exponential growth formula A=P(1-r)^t
erma4kov [3.2K]
R = rate
A = P(1-r)^t
A^t = P(1-r)
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Triangle ABC is reflected to form Triangle A’B’C
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Answer:

I believe it is reflection across the x axis.

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