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3 years ago

In65 - lnX = 39 What does X=?

Mathematics

1 answer:

Hunter-Best [27]3 years ago

3 0

Answer:

<h2>The answer is 7.47</h2>

Step-by-step explanation:

In this problem we are going find the natural logarithmic of the numbers involved and solve for x

$ln65-Ln x= 39\\$

from tables

$4.17-ln x= 39\4.17-39= lnx\\-34.83=lnx\\$

taking the exponents of both sides we have

$e^-^3^4^.^8^3= x\\x= 7.47$

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1 year ago

Soft drinks are sold in aluminum cans that measure 6 inches in height and 2 inches in diameter. How many cubic inches of drink a

pychu [463]

Answer:

113.04 cubic inches.

Step-by-step explanation:

We have been given that soft drinks are sold in aluminum cans that measure 6 inches in height and 2 inches in diameter.

To find the amount of drink contained in 6 cans, we will find the volume of 1 can using volume of cylinder formula.

$\text{Volume of cylinder}=\pi r^2h$ , where,

r = Radius of cylinder,

h = Height of cylinder.

First of let us divide diameter of given cylinder by 2 to get the radius of our cylinder as diameter is 2 times the radius.

$\text{Radius}=\frac{2\text{ inches}}{2}$

$\text{Radius}=1\text{ inch}$

Upon substituting our given values in volume formula we will get,

$\text{Volume of can}=\pi*\text{(1 inch)}^2*\text{6 inch}$

$\text{Volume of can}=3.14*\text{(1 inch)}^2*\text{6 inch}$

$\text{Volume of can}=18.84\text{ inch}^3$

Therefore, one can of soft drink contains 18.84 cubic inches of drink.

To find the amount of drink contained in 6 cans we will multiply volume of 1 can by 6.

$\text{Volume of 6 cans}=6\times 18.84\text{ inch}^3$

$\text{Volume of 6 cans}=113.04\text{ inch}^3$

Therefore, 6 cans of soft drink contain 113.04 cubic inches of drink.

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3 years ago