Answer:
a=21.1
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 full revolutions, so is back where it started — at 12.5 feet above the ground.
<h2>
Answer:</h2>
<em>Question 1)</em>
5x
<em>Question 2) </em>
0.22a
<em>Question 3)</em>
8 + 6n
<em>Question 4)</em>
25
<em>Question 5) </em>
ab+c=14
<h2>
Step-by-step explanation:</h2>
<u>Ques 1)</u>
The product of 5 and x.
Product of two numbers means that it is obtained by multiplying them.
Hence, the expression so obtained is: 5x
<u>Ques 2)</u>
22% of a
It means that:
22%×a
Also, we know that:
22% =0.22
This means that:
22% of a=0.22×a
i.e.
22% of a=0.22a
<u>Ques 3)</u>
8 more than the product of 6 and n.
The product of 6 and n is given by: 6n
and 8 more than there product will be given by:
8+6n
<u>Ques 4)</u>
Evaluate: 30 − m/6 for m = 30
i.e. we put m=30 in the expression and get the resulting value.
i.e. we have:
30-m/6=30-(30/6)
i.e.
30-m/6=30-5
i.e.
30-m/6=25
<u>Ques 5)</u>
Evaluate ab + c for a= 2, b = 5, c = 4.
i.e. we will put the value of a,b and c in the given expression and find the value.
i.e.
2×5+4= 10+4
i.e.
ab+c=14
To find the time to reach the maximum height you can subtract the constant 6 and write the function as:
h'(t) = -16t^2 + 50t
Then factor it: h'(t) = -2t(8t-25)
Then find the two roots:
t =0 and
8t - 25 = 0 ⇒ t = 25/8 = 3.125
The vertex is in the half between 0 and 3.125, i.e. [0+3.125]/2 = 1.5625
Then the time searched is approximately 1.56 seconds.
