Is y=3/2x 6 a non linear or linear equation?

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

7 0

This is a linear equation as when you graph it you get a line

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Michael works 30 hours per week and makes $15.00 per hour. How much does he make in a 4-week month?

Wewaii [24]

Answer:

$1,800

Step-by-step explanation:

If Michael works 30 hours a week for $15 an hour we can use the equation:

15 x 30 = 450.

Now just multiply the given answer by 4 and you're left with:

450 x 4 = 1800.

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2 years ago

Plot the points and decide if the rectangular cakes are scale drawings of each other.

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Step-by-step explanation:

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3 years ago

Read 2 more answers

A standard piece of paper is 0.05 mm thick. Let's imagine taking a piece of paper and folding the paper in half multiple times.

tatyana61 [14]

Answer:

(a) $g(n)=0.05\cdot 2^n$

(b) $g^{-1}(n)=\log_{2}20g(n)$

Step-by-step explanation:

Part A

The paper's thickness = 0.05mm

When the paper is folded, its width doubles (increases by 100%).

The thickness of the paper grows exponentially and can be modeled by the function:

$g(n)=0.05(1+100\%)^n\\\\g(n)=0.05\cdot 2^n$

Part B

$g(n)=0.05\cdot 2^n\\2^n=\dfrac{g(n)}{0.05}\\ 2^n=20g(n)\\$Changing to logarithm form, we have:\\\log_{2}20g(n)=n\\$Therefore:\\g^{-1}(n)=\log_{2}20g(n)$

Part C

If the thickness of the paper, g(n)=384,472,300,000 mm

Then:

$g^{-1}(n)=\log_{2}20g(n)\\g^{-1}(n)=\log_{2}20\times 384,472,300,000\\=\dfrac{\log 20\times 384,472,300,000}{\log 2} \\g^{-1}(n)=42.8 \approx 43\\n=43$