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3 years ago

Find the inverse, please help.

Mathematics

1 answer:

igomit [66]3 years ago

6 0

Replace f(x) with y

Y = 2x -5

Swap roles of x

X= 2y-5

5+x =2y

Divide by 2

5+x /2 = y

Replace y with inverse f^-1(x)

Answer= f^-1(x) = 5+x / 2

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A Ferris wheel has a diameter of 380 feet and the center of the wheel is 195 feet above the ground. The wheel makes a complete t

Aleksandr [31]

Answer:

y = -190 cos(π t / 120) + 195

Step-by-step explanation:

General form of a sinusoidal function: y = A cos(Bt - C) + D

Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative.

A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet.

2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120.

C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0.

D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet.

Your final function will be:

y = -190 cos(π t / 120) + 195

7 0

3 years ago

A dollar bill is worth _____ pennies. When written in decimal format, each penny can be written as ______ of a dollar. 100:10 10

erik [133]

Hey there! :D

A dollar bill is worth 100 pennies.

$1.00-> .01*100 <=== same thing

When written in decimal format, each penny can be written as 100:1, because there are 100 pennies in a dollar. One penny would just be one out of 100.

I hope this helps!
~kaikers

5 0

3 years ago

Read 2 more answers

Umference of a Circle: Mastery Test

sasho [114]

Answer:

•26.376 units

•23.236 units

•34.54 units

•59.66 units

Step-by-step explanation:

The formula for the circumference of a circle is ...

C = 2πr = πd

C = 2(3.14)r = 6.28r or C = 3.14d

where r is the radius and d is the diameter.

Put the given radius or diameter into the relevant formula and compute the product. The results are all in "units".

r = 4.2 ⇒ C = 6.28×4.2 = 26.376

d = 7.4 ⇒ C = 3.14×7.4 = 23.236

d = 11 ⇒ C = 3.14×11 = 34.54

r = 9.5 ⇒ C = 6.28×9.5 = 59.66

6 0

2 years ago

Paola is planning her summer vacation. She wants to buy maps and atlases to use in her planning. The maps cost $3.00 and the atl

VladimirAG [237]

She can buy 4 atlases and 5 maps

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3 years ago

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The percent frequency for S&P 100 companies in the Consumer Staples sector is

torisob [31]

The percent frequency for S&P 100 companies in the Consumer Staples sector is 8.2%

<h3>How to determine the percentage frequency?</h3>

From the pie chart of the dataset (see attachment for the pie chart), we have:

Consumer Staples = 8.2%

This means that the percent frequency for S&P 100 companies in the Consumer Staples sector is 8.2%