2 years ago

Find the slope and y-intercept of y=2/5x+5

Mathematics

1 answer:

velikii [3]2 years ago

4 0

slope = -2/5

y-intercept = 5

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Flour

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A culture started with 3000 bacteria. After 4 hours, it grew to 3,600 bacteria. Predict how many bacteria will be present after

Vlad [161]

Hello Shannonrodrigue. You can solve this by setting up an exponential growth equation.

$A = A_ob^t$
$3600 = 3000b^4$

Now we solve for b
$3600 = 3000b^4$
$\frac{3600}{3000} = \frac{3000b^{4}}{3000}$
$\frac{6}{5} = b^4$
$\sqrt[4]{\frac{6}{5}} = \sqrt[4]{b^4}$
$\sqrt[4]{\frac{6}{5}} = b$

Now that we have found b, we can use the equation $A = 3000b^t$ to predict how many bacteria will be present after 10 hours.
$b = \sqrt[4]{\frac{6}{5}}$
t = 10
$A = 3000b^t$
$A = 3000\sqrt[4]{\frac{6}{5}}^{10} = 4732.3228 = 4732$

Answer = 4732

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2 years ago

A sheet of plastic has an area of 35 square cm. If the sheet is 5 cm thick, what is the volume?

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Answer:

175 cm³

Step-by-step explanation:

Volume = área * thick

Volume = 35cm² * 5cn

Volume = 175 cm³

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