Answer:
1st Question
A. 85
2nd Question
B. 71
Step-by-step explanation:
1st Question
{90 + 94 + 96 + 90} = 370/4 = 92.5
{95 + 99} = 194/2 = 97
{87 + 75 + 82 + 85} = 329/4 = 82.25
{71} = 71/1 = 71
.20(92.5) +.25(97) +.30(82.25) +.25(71) = 85.175 Rounded-up = 85
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2nd Question
.10(95) +.20(80) +.50(67) +.20(60) = 71
Answer:
32
Step-by-step explanation:
take 128 divide by 4
Answer:
x= -11/4 is a maximum.
Step-by-step explanation:
Remember that a function has its critical points where the derivative equal zero. Therefore we need to compute the derivative of this function and find the points where the derivative is zero. Using the chain rule and the product rule we get that
And then we get that if 
then 
. So it has a critical point at .
Now, if the second derivative evaluated at that point is less than 0 then the point is a maximum and if is greater than zero the point is a minimum.
Since
x= -11/4 is a maximum.
Based on your distance from the state border and the cruise control speed, the minimum and maximum hours you will have cruise control on is:
- Minimum - 1/3 hours
- Maximum - 1.5 hours
<h3>How long will cruise control be on?</h3>
You are 55 miles from the state border. You want to put the cruise control off within 35 miles of the border on either side.
This means that you might put it off in:
= 55 - 35
= 20 miles
The time to 20 miles is the minimum time the cruise control will be on:
= 20 miles / 60 miles per hour
= 1/3 hours
If you put it off 35 miles after the border, the distance is:
= 55 + 35
= 90 miles
The maximum time is:
= 90 / 60
= 1.5 hours
Find out more on time and distance at brainly.com/question/17146782
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Answer:
d. None of the above.
Step-by-step explanation:
The period is the change in x required to make a change of 2π in the argument to the sine function:
2x = 2π
x = π
The frequency is the reciprocal of the period, so is 1/π. There are no matching answer choices.
