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belka [17]
1 year ago
10

Solve the following equation for X. Round your answer to four decimal places.

Mathematics
1 answer:
strojnjashka [21]1 year ago
4 0

ANSWER

x = 1.2226

EXPLANATION

To solve this equation we have to apply the property of the logarithm of the base,

\log _bb=1

Thus, we can apply the natural logarithm - whose base is e, to both sides of the equation,

\ln e^{4x}=\ln 133

Now we apply the property of the logarithm of a power,

\log a^b=b\log a

In our equation,

\begin{gathered} 4x\ln e^{}=\ln 133 \\ 4x^{}=\ln 133 \end{gathered}

Then divide both sides by 4 and solve,

\begin{gathered} \frac{4x^{}}{4}=\frac{\ln 133}{4} \\ x\approx1.2226 \end{gathered}

The solution to this equation is x = 1.2226, rounded to four decimal places.

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In order to figure out who will go first in a game, your friend asks you to pick a number between 1 and 25. What are the possibl
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Answer:

Step-by-step explanation:

The possible outcomes include 1, 2, 3, etc., up through 25.  This in itself is insufficient to specify who will go first.  There must be some further criteria.

Suppose each player chooses and announces a number from this set by writing it down on a scrap of paper which is placed face-down on the table.  The person who chooses the smaller number goes first.  Or, the person who chooses the larger number goes first.

8 0
3 years ago
Andre has enough to fill 3500 in.3.. he decides to change the length of the step so that he will use all of the cement. What wil
Mrac [35]

Answer:

43.75 inches or 43 and 3/4 inches.

Step-by-step explanation:

Ok, thanks for the complement of information.

So, to find the volume of that step, which is a rectangular prism, we would use the simple formula:

V = length *  width * height

In this case, we have the total volume (3,500 cu in), we have the width (10 inches)  and we have the height (8 inches).  But we need to find out the new length in order for him to use all 3,500 cu in of cement.

So, we transform the formula above into:

length = V / (width * height)

then we plug-in the numbers:

length = 3,500 / (8 x 10) = 3,500 / 80 = 43.75

So, the new length of the step would be 43.75 inches or 43 and 3/4 inches.

7 0
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"Come back to me" was written by?
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Zac maloy, espen lind, amund bjorklund.
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A major convention center, whose floors are covered by a square carpet tiles with side lengths of 9 inches laid out in a 48 by 9
bearhunter [10]

Answer:

option B

$28.80

Step-by-step explanation:

Given the question,

side length of one square tile = 9 inches

area of square tile = l² = 9² = 81 inches²

<h3>Step1</h3>

There are 48(96) = 4608 carpet tiles, so the company was making 4608($.05) = $230.40.

<h3>Step2 </h3>

Now, the company countered with square feet. We have a total of 4608(81) = 373,248 square inches.

1 square foot = 144 square inches.

373,248/144 = 2592 square ft.

2592($.10) = $259.20

$259.20 - $230.40 = $28.80

4 0
3 years ago
(7x-3) ( 11y+5) what’s the value of x
timofeeve [1]

Answer:

7x - 3 = 60

7x = 63

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if you need to find for y

11y + 5 = 60

11y = 55

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Step-by-step explanation:

plz mark brainest

7 0
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