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2 years ago

Simplify to a single power of 2: 2^4/ 2^3

Mathematics

1 answer:

Natali [406]2 years ago

3 0

Step-by-step explanation:

This leads to another rule for exponents—the Power Rule for Exponents. To simplify a power of a power, you multiply the exponents, keeping the base the same. For example, (23)5 = 215. For any positive number x and integers a and b: (xa)b= xa· b.

Answer:

2^1

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A) how many 3/5s are in 1<br> b) use the answer to part A to find the number of 3/5s in 2

BabaBlast [244]

$a)\frac{1}{\frac{3}{5}}=1*\frac{5}{3}=\frac{5}{3}\\\\
There\ are\ 1\frac{2}{3}\ of\ \frac{3}{5}s\ in\ 1.\\\\
b)\frac{2}{\frac{3}{5}}=2*\frac{5}{3}=\frac{10}{3}\\\\There\ are\ 3\frac{1}{3}\ of\ \frac{3}{5}s\ in\ 2.$

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3 years ago

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Evaluate the expression when m = 2.

dalvyx [7]

11 - 3m (replace m with 2)
$11-3*2$
11 - 6
5

The answer is A. 5

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2 years ago

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A soft drink machine outputs a mean of 27 ounces per cup. The machine's output is normally distributed with a standard deviation

Rzqust [24]

Answer: 0.6065

Step-by-step explanation:

Given : The machine's output is normally distributed with

$\mu=27\text{ ounces per cup}$

$\sigma=3\text{ ounces per cup}$

Let x be the random variable that represents the output of machine .

z-score : $z=\dfrac{x-\mu}{\sigma}$

For x= 21 ounces

$z=\dfrac{21-27}{3}\approx-2$

For x= 28 ounces

$z=\dfrac{28-27}{3}\approx0.33$

Using the standard normal distribution table , we have

The p-value : $P(21$

$P(z$

Hence, the probability of filling a cup between 21 and 28 ounces= 0.6065

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3 years ago

John writes a number sequence starting with 8. Write the next number 8, 22, 36, _______

BlackZzzverrR [31]

Answer:

Step-by-step explanation:

from the question that we have been given, we have to find out the next number after 36.

John's next number sequence will be 50. Every number after 8 can be gotten by adding 14. So when we add 14 to 36, we get the final answer, which is the next number in the sequence.

This can be seen below:

14 + 8 = 22

14 +22 =36

14 +36 =50

therefore the next sequence would be 50

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2 years ago

Write the equation of a circle with center (7.0) with radius 3.

harina [27]

Answer:

2.3

Step-by-step explanation:

so the 7.0 gets dived by the 3 because the radius is half of the circle.

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3 years ago

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