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DENIUS [597]
3 years ago
9

F an object moves along the​ y-axis (marked in​ feet) so that its position at time x​ (in seconds) is given by f (x )equals 117

x minus 13 x squared​, find the following.
​(A) The instantaneous velocity function v equals f prime (x )
​(B) The velocity when xequals0 and xequals3 sec
​(C) The​ time(s) when vequals0
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
5 0

Answer:

117, 9

Step-by-step explanation:

given that an object  moves along the​ y-axis (marked in​ feet) so that its position at time x​ (in seconds) is given by

f (x )equals 117 x minus 13 x squared​,

f(x) = 117x-13x^2

a)Instantaneous velocity function

v(x) = f'(x) = 117-26x

b) When x=0 we get

v(0) = 117 feet /sec

c) When v =0 we have

117=13x\\x=9

At 9 seconds  velocity will be 0

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The line width used for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micrometer and a st
Alinara [238K]

Answer:

There is a 0.82% probability that a line width is greater than 0.62 micrometer.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

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

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. The sum of the probabilities is decimal 1. So 1-pvalue is the probability that the value of the measure is larger than X.

In this problem

The line width used for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micrometer and a standard deviation of 0.05 micrometer, so \mu = 0.5, \sigma = 0.05.

What is the probability that a line width is greater than 0.62 micrometer?

That is P(X > 0.62)

So

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

Z = \frac{0.62 - 0.5}{0.05}

Z = 2.4

Z = 2.4 has a pvalue of 0.99180.

This means that P(X \leq 0.62) = 0.99180.

We also have that

P(X \leq 0.62) + P(X > 0.62) = 1

P(X > 0.62) = 1 - 0.99180 = 0.0082

There is a 0.82% probability that a line width is greater than 0.62 micrometer.

3 0
3 years ago
Can someone please help
Rashid [163]

Answer:

It shifted 6 units down

Step-by-step explanation:

Do the graph normally without the k and compare them side by side.

8 0
2 years ago
Select the correct answer. If the function 5x + y = 1 has the domain (-2, 1, 6), then what is the corresponding range? OA. {-9,
Leokris [45]

Answer:

D) {11,-4,-29}

Step-by-step explanation:

rewrite the equation as y= -5x+1 and plug in -2,1 and 6 to get y

-5*-2+1=11

-5*1+1=-4

-5*6+1=-29

3 0
3 years ago
If you answer this you are swag!!
trapecia [35]
It’s the third one, if not I’m sorry
8 0
3 years ago
Please someone I need help!!
frosja888 [35]

Answer:

Step-by-step explanation:

The answer is 1.3

4 0
3 years ago
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