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lbvjy [14]
3 years ago
5

The power P produced by a wind turbine is directly proportional to the cube of the wind speed S. A wind speed of 37 miles per ho

ur produces a power output of 750 kilowatts. Find the output for a wind speed of 40 miles per hour.
Mathematics
1 answer:
vfiekz [6]3 years ago
6 0

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

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A theatre ticket costs £37 plus a booking fee of 4%.<br>What is the total price of the ticket?​
Studentka2010 [4]

Answer:

£38.48

Step-by-step explanation:

First, we have to find what 4% of 37 is, so our equation is:

37 x 0.04 = 1.48

Then we have to add that 4% to the original cost:

1.48 + 37 = 38.48

So the total price of the theatre ticket is  £38.48

6 0
3 years ago
Write a polynomial function, p(x) with degree 3 that has p(7)=0
MArishka [77]

Answer:

p (x) = x^{3} - 21x^{2}+ 147x - 343

is the required polynomial with degree 3 and p ( 7 ) = 0

Step-by-step explanation:

Given:

p ( 7 ) = 0

To Find:

p ( x ) = ?

Solution:

Given p ( 7 ) = 0 that means substituting 7 in the polynomial function will get the value of the polynomial as 0.

Therefore zero's of the polynomial is seven i.e 7

Degree : Highest raise to power in the polynomial is the degree of the polynomial

We have the identity,

(a -b)^{3} = a^{3}-3a^{2}b +3ab^{2} - b^{3}

Take a = x

        b = 7

Substitute in the identity we get

(x -7)^{3} = x^{3}-3x^{2}(7) +3x(7)^{2} - 7^{3}\\(x -7)^{3} = x^{3}-21x^{2} +147x - 343

Which is the required Polynomial function in degree 3 and if we substitute 7 in the polynomial function will get the value of the polynomial function zero.

p ( 7 ) = 7³ - 21×7² + 147×7 - 7³

p ( 7 ) = 0

p (x) = x^{3} - 21x^{2}+ 147x - 343

4 0
3 years ago
After 2 days, the Johnsons had used
salantis [7]

Answer:

11.5 tanks of gas

Step-by-step explanation:

23/2

11.5

6 0
3 years ago
What value should be added to the expression to create a perfect square?
Lilit [14]
Answer is D.Don't take out the square

8 0
3 years ago
Allan and Dave bowled together and their combined total score for one game was 375 points. Allen's score was 60 less than twice
boyakko [2]
315. You just need to take the total and subtract by 60.
7 0
3 years ago
Read 2 more answers
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