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3 years ago

8 squared by 6 ÷ 4 squared by 3 =

Mathematics

2 answers:

loris [4]3 years ago

3 0

8^6 ÷ 4^3

8^6 = 262,144

4^3 = 64

So, 262,144 ÷ 64 = 4,096.

Done!

rewona [7]3 years ago

3 0

Answer:

2^12 = 4096

Step-by-step explanation:

Assuming that the problem is:

8^(6) / 4^(3)

1. Convert all numbers to the same base

In other words, rewrite the problem such that all the bases (the numbers under the exponent) are the same.

8 can be rewritten as 2^3

4 can be rewritten as 2^2

Hence the problem is:

((2^(3))^(6)) / ((2^(2))^(3))

2. Combine the exponents on the numerator and denominator

((2^(3))^(6)) / ((2^(2))^(3))

Simplify, remember an exponent to the power of another exponent is the same as multiplying the two exponents, applying this:

(2^(18)) / (2^(6))

3. Simplify the fraction and solve

(2^(18)) / (2^(6))

Dividing two exponents, with the same base is the same as subtracting the exponents, hence:

(2^(12))

= 4096

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vampirchik [111]

1. Divide the percent amount by 100 or move the number's decimal point over two places to the left to convert it to its decimal equivalent.

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3 years ago

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Vaselesa [24]

Answer:

1) The correct z* to to construct a 92% confidence interval is 1.75

2) these results are not good evidence that the new curriculum has improved Math SAT scores.

3) the results are not statistically significant at level α = 0.05, but they are practically significant.

Step-by-step explanation:

1) z-score for 92% confidence level is ≈ 1.75

2) P-value for testing whether the mean score in senator's state is more than the national average of 480 is less than 0.0001 means that

the probability that the sample is drawn from the population where senator's state is more than the national average of 480 is <0.0001.

Thus we have to reject this hypothesis since the probability is too small.

3) if we calculate the statistic of the sample we get (560-480)/100=0.8 where

560 is the mean score of trained 4 students
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100 is the standard deviation of the test.

Since t-critical at 0.05 significance for 3 degrees of freedom ≈ 2.35 is bigger than 0.8, the result is not significant statistically.

But 80 points higher than the national average is a practically significant result since its effect size is large.

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3 years ago

What is the value of x?

satela [25.4K]

Answer:

x = 4

Step-by-step explanation:

By property of intersecting secants outside of circle.

$PC \times PA = PB \times PD \\ 10(2x + 10) = 9(2x + 3 + 9) \\ 20x + 100 = 18x + 108 \\ 20x - 18x = 108 - 100 \\ 2x = 8 \\ x = \frac{8}{2} \\ \huge \red{ \boxed{ x = 4}}$

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3 years ago

you deposited $5500 in a account that pays 3.6% annual interest. find the balance after 2 years if the interest is compound mont

Sedaia [141]

Answer:

$5,909.97

Step-by-step explanation:

We will use the compound interest formula for this problem as shown below:

$A=P(1+\frac{r}{n} )^{nt}$

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 3.6% into a decimal:

3.6% -> $\frac{3.6}{100}$ -> 0.036

Now plug in the values:

$A=5,500(1+\frac{0.036}{12})^{12(2)}$

$A=5,909.97$

After 2 years, the balance would be $5,909.97

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3 years ago

Katie's baby took 3 naps. Each nap was of an hour long.

viva [34]

Answer:

18 naps

Step-by-step explanation:

We have the keyword each, so we are multiplying, so our equation is:

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So, Katie's baby napped for 18 hours in all

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3 years ago