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Archy [21]
3 years ago
10

Use the fact that (a^x)^y=a^xy to prove that log a^(b^y)= y•log a^b

Mathematics
1 answer:
raketka [301]3 years ago
4 0

Answer:the answer is 45x

Step-by-step explanation:

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Draw a model to show a fraction that is equivalent to 1/3 and a fraction that is not equivalent to 1/3
klemol [59]
Steps:
1. Draw a long box
2. Draw a horizontal line down the center of the box
3. Draw three equal sections in the top half ; shade in 1 segment
4. Draw 6 equal sections in the bottom half; shade in 2
4 0
3 years ago
Find the difference 42 2/3 - 34 1/8
Valentin [98]

Answer:

8 13/24

Step-by-step explanation:

42 2/3= 42 16/24

34 1/8= 34 3/24

42 16/24- 34 3/24= 8 13/24

4 0
4 years ago
Simplify the expression and write your answer in<br> scientific notation: (1.4 X 103)3
Soloha48 [4]

Step-by-step explanation:

(1.4 X 10³)³

2.744×10⁹

Hope it helps u

5 0
3 years ago
Test scores are normally distributed with a mean of 500. Convert the given score to a z-score, using the given standard deviatio
Bond [772]

Answer:

The percentage of students who scored below 620 is 93.32%.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 500, \sigma = 80

Percentage of students who scored below 620:

This is the pvalue of Z when X = 620. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{620 - 500}{80}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

The percentage of students who scored below 620 is 93.32%.

3 0
3 years ago
Read 2 more answers
Which of the following best approximates the value g(h(1))?
34kurt

Answer:

Option (B)

Step-by-step explanation:

From the graph attached,

There are two functions 'f' and 'g' graphed.

Value of the function 'h' at x = 1,

y = h(1) = 0

Now we know g[h(1)] = g(0) [By substituting the value of h(1) = 0]

Therefore, value of the function 'g' at x = 0,

y = g(0) = -5 [y-intercept at x = 0]

Option (B) will be the correct option.

6 0
4 years ago
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