Answer:the output for a wind speed of 40 miles per hour is 810.8 kilowatts.
Step-by-step explanation:
The power P produced by a wind turbine is directly proportional to the cube of the wind speed S. This means that
P is directly proportional to S
Introducing a constant of proportionality, k, it becomes
P = kS
A wind speed of 37 miles per hour produces a power output of 750 kilowatts. This means that
750 = k × 37
k = 750/37 = 20.27
The expression becomes
P = 20.27S
Therefore, the output for a wind speed of 40 miles per hour would be
P = 20.27 × 40
P = 810.8
Answer:
27 ft
the maximum height of the arrow is 27 ft
Step-by-step explanation:
Given;
The height of the arrow is given by the function;
h(t) = -16t^2 + 32t + 11
Maximum height is at point when dh(t)/dt = 0.
Differentiating h(t), we have;
dh/dt = -32t + 32 = 0
Solving for t;
-32t = -32
t = -32/-32 = 1
t = 1 (time at maximum height is t = 1)
Substituting t=1 into h(t), to determine the value of maximum height;
h(max)= -16(1^2) + 32(1) + 11
h(max) = 27 ft
the maximum height of the arrow is 27 ft.
Answer:
The extra amount to be paid = $ 309.15
Step-by-step explanation:
Credit card bill = $ 7250 .
Interest rate = 16 % .
<h3>
AMOUNT TO BE PAID IN 1 YEAR</h3>
Monthly payment = $ 657.80
Total amount to be paid in a year = $ 657.80 × 12 = $ 7893.6
Interest amount in 1 year = $ 7893.6 - $ 7250 = $ 643.6.
<h3>AMOUNT TO BE PAID IN 18 MONTHS </h3>
Monthly payment = $ 455.71.
Total amount to be paid in a 18 months = $ 455.71 × 18 = $ 8202.78
Interest amount to be paid in 18 months = $ 952.78 .
The extra amount to be paid = $ 8202.78 - $ 7893.6 = $ 309.15
Answer:
Fahrenheit = 50°F
Step-by-step explanation:
Equation: F = ⁹/₅C + 32, C = 10
Plug in: F = ⁹/₅(10) + 32
Multiply: F = 18 + 32
Add: F = 50
