On a windmill, the tip of one blade moves in a circular motion. The maximum height is 18 feet and the minimum height is 4 feet. The height of the tip of the blade (in feet) can be modeled by the function h(x)=−14sinx+18 h(x)=−14sinx+18 where x is time in seconds. Use the inverse function to determine how many seconds it will take to make a full rotation for one blade.


A 0.3 second


B 0.6 second


C 1.6 seconds


D 3.2 seconds

Answers

Answer 1

Answer:

The correction is  D

Step-by-step explanation:

From the question we are told that

    The maximum height is  [tex]h_m = 18 ft[/tex]

    The minimum height is [tex]h_i = 4 ft[/tex]

     The function that models the height of the blade is [tex]h(x) =- 14 sin(x) + 18[/tex] here x is time in seconds

 Now at maximum height

       [tex]18 = - 14 sin(x) + 18[/tex]

=>     [tex]-14 sin(x) =0[/tex]

=>     [tex]sin(x) =0[/tex]        

=>     [tex]x =sin^{-1}[0][/tex]

=>     [tex]x =0 \ s[/tex]    

 Now at minimum  height

        [tex]4 = -14 sin(x) + 18[/tex]

=>      [tex]-14 = -14 sin(x)[/tex]

=>     [tex]sin (x) = 1[/tex]

=>     [tex](x) = sin^{-1}[1][/tex]

=>     [tex]x = 1.6 \ s[/tex]

Now this values is the time taken to move from the higher position of the blade to the lower position of the blade

Now it will take this same amount of time to complete the circle

So the total time take is

    [tex]x_t = 2 * |x|[/tex]

=>   [tex]x_t = 2 * 1.6[/tex]

=>   [tex]x_t = 3.2 \ s[/tex]


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Step-by-step explanation:

I just searched it on google. i got you my guy

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Answer:

We can assume X is the number of girl, so the number of boy should be X+6.

 

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Step-by-step explanation:

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Answer:

C) The resulting figure will be congruent to the original rectangle, because dilations with a scale factor of 1 have the same coordinates.

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Answer: c.

Step-by-step explanation:

x^2 + 2x - 5 - (x - 3)

distribute the negative

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Step-by-step explanation:

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Step-by-step explanation:

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I need Your help plish​

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5

Step-by-step explanation:

Because there is zones

another way to write 2 5/2×4

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4 1/2(4)

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Step-by-step explanation:

5(2x - 4) < -100

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Answer:

3rd option from the top (open circle arrow going left)

Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

3240

Step-by-step explanation:

3.24

×

10

3

=

3.24

×

1000

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Count 3 spaces:

3.2.4.0 →

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So then your number becomes

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Answer:

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Step-by-step explanation:

Hi there !

10.7 + (-3.5) =

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Good luck !

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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A

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Evaluate the equation for the indicated value, f(n)=5n+8 for f(4),

Answers

you would need to put 4 in for (n)so, 5(4)+8 then solve. 5 times 4=20 plus 8 is 28. I hope I could help!

The value of the function f(n)=5n+8 for f(4) will be 28.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given function is f(n)=5n+8. The value of the function at equal to 4 will be calculated as below:-

f(n)=5n+8

f(4) = ( 5 x 4 + 8 )

f(4) = 20 + 8

f(4) = 28

Therefore, the value of the function f(n)=5n+8 for f(4) will be 28.

To know more about functions follow

https://brainly.com/question/17043948

#SPJ2

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