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patriot [66]
3 years ago
11

Karl starts the engine on his small private airplane. The engine drives a propeller with a radius of 9 feet and its centerline 1

2.5 feet above the ground. At idle, the propeller rotates at a constant speed of approximately 750 revolutions per minute. The height of one propeller tip as a function of time is given by h = 12.5 + 9 sin(750t), where h is the height in feet and t is the time in minutes. Find h when t = 3.5 minutes.
Mathematics
2 answers:
Marta_Voda [28]3 years ago
5 0

Answer:

a=21.1

Step-by-step explanation:

sukhopar [10]3 years ago
4 0

Answer:

  • 3.68 feet using given equation (wrong)
  • 12.5 feet using correct equation

Step-by-step explanation:

You can use the given (incorrect) equation and fill in the value of t to find h:

  h = 12.5 +9sin(750(3.5)) = 3.68 . . . . feet

__

Or, you can use the correct equation, or just your knowledge of revolutions:

  h = 12.5 +9sin(750(2π·3.5)) = 12.5 . . . . feet

in 3.5 minutes at 750 revolutions per minute, the propeller makes 2625 <em>full revolutions</em>, so is back where it started — at 12.5 feet above the ground.

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Margaret makes bracelets and sells them to tourists. the function s(t) approximates how many bracelets margaret makes per hour.
Fantom [35]

The units for the composite function s(w(h)) is <u>bracelets over a week</u> when the function s(t) approximates how many bangles Margaret makes per hour and the function w(h) represents how many hours per week Margaret spends making the bracelets.

To define the unit of the composite function s(w(h)), we first need to find the units of the functions s(t) and w(h).

The function s(t)  represents the number of bangles per hour, so its unit will be bangles over an hour.

The function w(h) represents the hours per week spent on making the bracelets, so its unit will be hours over a week.

Now, we can define the unit of the composite function s(w(h)).

To find the unit of the composite function we follow these steps:-

s(w(h)),

= s(hours over a week) {replacing the function w(h) by its units},

= (bangles over an hour(hours over a week)) {replacing the function s(t) with its units},

= bangles over a week {Simplifying}.

Thus, the units for the composite function s(w(h)) is <u>bracelets over a week</u> when the function s(t) approximates how many bangles Margaret makes per hour and the function w(h) represents how many hours per week Margaret spends making the bracelets.

Learn more about the units of a composite function at

brainly.com/question/15056566

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4 0
2 years ago
HELP ME PLEASE <br> What is the value of z?
dybincka [34]

Answer:23

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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vampirchik [111]
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6 0
3 years ago
What is the volume of the cone to the nearest cubic millimeter? (Use ​π = 3.14)
rjkz [21]

Answer:

given:

height[h]=8mm

radius [r]=5mm

Now,

Volume of cone=1/3 πr²h=⅓×3.14×5²×8=209mm³

<u>C) 209 </u><u>mm³</u><u> </u><u>is</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u><u>.</u>

3 0
3 years ago
Read 2 more answers
P=f/a, where f=70 and a=20 f is increased by 10 a is increased to by 10 <br><br>​
valina [46]

Answer:

P=3.5

P=2.667

Step-by-step explanation:

p=f/a

P=70/20

P=3.5

then f is increased by 10

f=70+10=80

and a is increased by 10

a=20+10

a=30

therefore; P=f/a

P=80/30

P=2.667

3 0
2 years ago
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