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3 years ago

Convert the given function into a logarithmic function: f(x)=36.77e^(-0.72x)

1 answer:

7 0

F(x) = 36.77e^(-0.72x)
log f(x) = log36.77e^(-0.72x)
log f(x) = log 36.77 + log e^(-0.72x)
log f(x) = 3.6 + (-0.72x)log e
log f(x) = 3.6 - 0.72x
0.72x = 3.6 - log f(x)
x = 5 - 1.39 log f(x)

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3 years ago

find the quadratic equation if its solutions are 1.5 and -.25, and the equation coefficients are not decimals.

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$\left(x-\dfrac{3}{2}\right)\left(x+\dfrac{1}{4}\right) = x^2-\dfrac{5}{4}x-\dfrac{3}{8}$

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3 years ago

A machine at a graphic design studio produces paper labels for juice bottles. This graph represents the number of labels produce

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Answer:

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Hope this helps!

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3 years ago

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The price of a hat is $27.When it goes on sale, it wll be 1/3.How much would you save if you were to buy ti on sale

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Answer:

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Step-by-step explanation:

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3 years ago

Frank has a sheet of paper which is 1/624 inch thick. If the sheet is folded in half, the total thickness will be 1/312 inch A s

netineya [11]

Answer:

The thickness of the sheet will be 16/39 inch after folded 8 times

Step-by-step explanation:

* Lets explain how to solve the problem

- Frank has a sheet of paper of 1/624 inch thick

- The sheet is folded in half, the total thickness is 1/312 inch

- The sheet folded in half again and the total thickness is 1/156 inch

- We need to know the thickness of the sheet after folded 8 times

∵ The 1st thickness is 1/624 inches

∵ The 2nd thickness is 1/312 inch ⇒ after 1st fold

∵ The 3rd thickness is 1/156 inch⇒ after 2nd fold

∵ 1/312 ÷ 1/624 = 2

∵ 1/156 ÷ 1/312 = 2

∴ There is a common ratio 2 between each two fold

∴ The thicknesses of the sheet after each fold formed a

geometric series

∵ Any term of the geometric series is $a_{n}=a(r)^{n-1}$ , where

a is the first term, r is the ratio between each two consecutive

terms and n is the position of the term

∵ a = 1/312 because it is the thickness of the 1st fold

∵ r = 2 , n = 8

∴ $a_{8}=\frac{1}{312}(2)^{8-1}=\frac{16}{39}$

∴ The thickness of the sheet will be 16/39 inch after fold 8 times

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4 years ago

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