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Arte-miy333 [17]
4 years ago
8

Which of the following equations is equivalent to log(y) = 5.112

Mathematics
2 answers:
Alecsey [184]4 years ago
7 0

Answer: y=10^5.112

Step-by-step explanation:

A P E X

belka [17]4 years ago
3 0
We are given the following equation:

log(y)=5.112

When a log is written without a base it is understood that its base is 10. So we can also write the above equation as:

log_{10}(y)=5.112

In order to transform logarithmic equation to exponential equation we move the base of log to other side of the equation and place the values on the other side in its exponent. So the above equation becomes:

y= 10^{5.112}

Thus, option b gives the correct answer
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Answer:

The coordinates are:

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Step-by-step explanation:

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The original coordinates of C is ( 4,1 ). Hence you could add the x value with 3 and y value with 6. 4 + 3 and 1 + 6 giving you the coordinates after translation = ( 7,7 )

6 0
3 years ago
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3 years ago
Determine, to one decimal place, the length, width & height of the rectangular prism that would have the greatest volume, wi
Leya [2.2K]

Answer:

The length = The width = The height  ≈ 5.8 cm

Step-by-step explanation:

The volume of a rectangular pyramid, V = l × w × h

The surface area of the pyramid = 2 × l × h + 2 × w × h + 2 × l × w = 200

∴  l × h + w × h + l × w = 200/2 = 100

We have that the maximum volume is given when the length, width, and height are equal and one length is not a fraction of the other. Therefore, we get;

At maximum volume, l = w = h

∴ l × h + w × h + l × w = 3·l² = 100

l² = 100/3

l = 10/√3

Therefore, the volume, v = l³ = (10/√3)³

The length = The width = The height = 10/√3 cm ≈ 5.8 cm

7 0
3 years ago
Can someone help me with this? please<br><br>alguien me puede ayudar con esto? porfavorr
soldi70 [24.7K]

See attachment for the number line that compares the numbers 5.3, 5 1/5 and 5

<h3>How to plot the numbers on the number line?</h3>

The numbers are given as:

5.3, 5 1/5 and 5

We start by representing the numbers as decimals (i.e. real numbers).

So, we have:

5.3, 5.2 and 5

Reorder the numbers in ascending number (i.e. from least to greatest)

So, we have

5, 5.2 and 5.3

Next, we plot the numbers on a number line using a scale of 0.1

This can be visualized as

5        5.2      5.3

See attachment for the number line that compares the numbers 5.3, 5 1/5 and 5

Read more about number line at

brainly.com/question/24644930

#SPJ1

8 0
2 years ago
Which of the following could be the first step in solving the equation below? 6^x=24
qaws [65]
D. Take the log of both sides first. You would then go on to solve by pulling the x down in front of the log 6 to get x log 6 = log 24. Divide both sides by log 6 to get x = log 24/log 6 and x = 1.7737
3 0
3 years ago
Read 2 more answers
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