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Sauron [17]
3 years ago
5

What is the inverse of the function

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
6 0

Answer:

A

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = \frac{19}{x^3} ( multiply both sides by x³ )

x³y = 19 ( divide both sides by y )

x³ = \frac{19}{y} ( take the cube root of both sides )

x = \sqrt[3]{\frac{19}{y} }

Change y back into terms of x, then

f^{-1} (x) = \sqrt[3]{\frac{19}{x} } = \frac{\sqrt[3]{19} }{\sqrt[3]{x} } → A

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angles 2 and 10 are corresponding Angles while angles 6 and 11 are alternate Angles

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3 necklaces were sold and they have got 45 revenue
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3 years ago
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An architect makes a model of a new house. The model shows a tile patio in the backyard. In the​ model, each tile has length 1/4
Semmy [17]

Answer:

The answer is below

Step-by-step explanation:

The model is a tile with length 1/4 in. and width 1/6 in while the actual tile has length 1/6 ft. and width 1/9 ft.

Firstly we have to convert the model length and width from inches to feet.

1 feet = 12 inches

model length =  1/4 in. = 1/4 in * (1/12) ft./in = 1/48 ft.

model width =  1/6 in. = 1/6 in * (1/12) ft./in = 1/72 ft.

Therefore:

Ratio of model length to actual length of tile = (1/48 ft.) / (1/6 ft.) = 1 / 8

Ratio of model length to actual length of tile = (1/72 ft.) / (1/9 ft.) = 1 / 8

Area of model tile = length * width = 1/48 ft. * 1/72 ft. = 1/3456 ft²

Area of actual tile = length * width = 1/6 ft. * 1/9 ft. = 1/54 ft²

Ratio of model area to actual area of tile = (1/3456 ft²) / (1/54 ft²) = 1 / 64

6 0
2 years ago
Jerry calculates that if he makes a deposit of $6 each month at an APR of 4.8%, then at the end of two years he'll have $100. Be
Nimfa-mama [501]

Assuming Jerry calculates that if he makes a deposit of $6 each month at an APR of 4.8%, then at the end of two years the correct balance will be: $158.5

First step is to determine Jerry total deposit

over the two years

Total deposit = 24×$5

Total deposit= $144

Now let determine what the correct balance will be at end of two years

Using this formula

Maximum Amount=Principal (1+r)^t

<em>Where</em>:

Principal=$144

r=4.8%/12 = 0.4% or 0.004

t=24 months

Let plug in the formula

Maximum Balance = $144 (1.004)^24

Maximum Balance  = $158.5

Based on the above calculation both Jerry $100 and Benny $163 balance are  ​eliminated or rule out because the correct balance after two years is $158.5

Inconclusion Assuming Jerry calculates that if he makes a deposit of $6 each month at an APR of 4.8%, then at the end of two years the correct balance will be: $158.5

Learn more here:

brainly.com/question/3658861

4 0
2 years ago
The complement of angle A is 38 degrees more than angle A
ozzi
I assume that you want the measurement of angle A
A + (A + 38) = 90
angle A + (38 more than angle a) = are complementary
2A = 52
A = 26

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