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3 years ago

Log41024 = 5 in exponential form

Mathematics

2 answers:

Doss [256]3 years ago

7 0

<span>Since logA C=B is the same as A^B=C and vice versa:
4^5 = 1024 is exponential form.</span>

adoni [48]3 years ago

6 0

Short Answer: y = 8.3677^x
Meaning
What this expression means is that if there is some base = a and this base is raised to the 5th, you will get 41024

y = a^5
Log_8.3677 (41024) = 5 * log(a)

y = a^x
where a = 8.3677

Check
y = 8.3677 ^5
y = 41023. 29 which is a rounding error.

How was 8.3677 derived.
$\sqrt[5]{41024}$ = 8.3677

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Answer:

h=1.27 in.

Step-by-step explanation:

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Plugin the values and solve

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3 years ago

Use the confidence level and sample data to find a confidence interval for estimating the population mu. Round your answer to th

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Answer:

c. 9.5 lb < mu < 11.1 lb.

Step-by-step explanation:

Confidence interval can be stated as M±ME where

M is the sample mean (10.3)
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margin of error (ME) around the mean can be calculated using the formula

ME= $\frac{z*s}{\sqrt{N} }$ where

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s is the standard deviation of the sample (2.4)

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Putting thesenumbers in the formula we get:

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3 years ago

Which angle measures are correct? Select three options,

zhenek [66]

Answer:

m∠W = 125°

m∠X = 55°

m∠Z = 55°

Step-by-step explanation:

The explanation of angle measures is shown below:-

The shape which is parallelogram WXYZ. m∠Y = 125

A parallelogram represents the shape of quadrilateral in which both opposite sides and opposite angles are similar to each other. One parallelogram diagonals bisect each other. Consecutive angles are also supplementary to a parallelogram.

In WXYZ parallelogram is there

m∠Z + m∠Y = 180° is an angle of Consecutive in a parallelogram is supplementary

m ∠ Z + 125 = 180

m ∠ Z = 180 - 125

m ∠ Z = 55°

m ∠ W which equals to m∠Y where equal angles are Opposite

m∠W = 125°

m ∠ W + m ∠ X = 180°

which is the angle of Consecutive in a parallelogram called supplementary)

m ∠ X + 125 = 180

m ∠ X = 180 - 125

After solving the above equation we will get

m ∠ X = 55°

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2 years ago

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Answer:

Step-by-step explanation:

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3 years ago

What is the equation of the line that passes through the points (0,4) and (3,-2)?

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***NOTE: Please check that you wrote the numbers in the question/answer choices correctly. The answer to this problem doesn't match the answer choice. Thank you!

Remember that the slope intercept formula is:

y = mx + b

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b is the y-intercept

First let's find the slope (m)

The formula to find slope using two points is

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

In this case...

$y_{2} =-2\\y_{1} =4\\x_{2} =3\\x_{1} =0$

^^^Plug these numbers into the formula for slope...

$\frac{-2-4}{3 - (0)}$

$\frac{-6}{3}$

-2

^^^This is your slope

Here is what we have so far for the slope intercept formula:

y = -2x + b

Now we must find b

To do that you must plug in a point the line goes through in the x and y of the equation, then solve for b

For this explanation we will use the point (0,4) although you could also do it with point (3, -2) and you should get the same answer

4 = -2(0) + b

4 = 0 + b

4 = b

NOTE: For this particular problem you wouldn't technically need to go through the steps above to find b. In this case one of the points given, (0, 4) is already the y-intercept of the line (b)

y = -2x + 4

Hope this helped!

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2 years ago