Evaluate n + 11 for n = 3. ! plz help 8 14 33 311

Applying Properties of Exponents In Exercise,use the properties of exponents to simplify the expression.

Mkey [24]

Answer:

$1.~e^{-2} \\2.~e^{\frac{7}{2}}\\3.~e^8\\4.~e^{\frac{-11}{2}}$

Step-by-step explanation:

We have to simplify the given exponential exponents.

Exponential Properties:

$e^0 =1\\e^a.e^b = e^{a+b}\\\\\displaystyle\frac{e^a}{e^b} = e^{a-b}\\\\(e^a)^b = e^{ab}\\\\e^{-a} = \frac{1}{e^a}$

Simplification takes place in the following manner:

a)

$(e^{-3})^\frac{2}{3}\\(e^a)^b = e^{ab}\\=e^{-3\times \frac{2}{3}}\\=e^{-2}$

b)

$(e^4)(e^{\frac{-1}{2}})\\e^a.e^b = e^{a+b}\\=e^{(4+\frac{-1}{2})} \\= e^{\frac{7}{2}}$

c)

$(e^{-2})^{-4}\\(e^a)^b = e^{ab}\\= e^{-2\times -4}\\=e^8$

d)

$(e^{-4})(e^{\frac{-3}{2}})\\e^a.e^b = e^{a+b}\\=e^{(-4+\frac{-3}{2})} \\= e^{\frac{-11}{2}}$

4 0

3 years ago

Suppose the population of IQ scores in the town or city where you live is bell-shaped, with a mean of 104 and a standard deviati

SVEN [57.7K]

Answer:

The mean of samples of 100 IQ scores taken out from this population will have a distribution with mean M=104 and standard deviation s=3.5.

Step-by-step explanation:

We know the population mean and standard deviation, that has a bell-shaped distribution:

$\mu=104\\\\\sigma=35$

The sampling distribution, the distribution of the mean of samples of size n out of this population, will have the same mean as the population mean.

$\mu_M=\mu=104$

The standard deviation will be related to the population standard deviation and the sample size as:

$\sigma_M=\frac{\sigma}{\sqrt{N}} =\frac{35}{\sqrt{100}}=3.5$

Then, the mean of samples of 100 IQ scores taken out from this population will have a distribution with mean M=104 and standard deviation s=3.5.

6 0

3 years ago

Use the graphs of f(x) = 2

Ipatiy [6.2K]

Answer:

A

Step-by-step explanation:

The solution to f(x) = g(x) occurs where the two graphs cross. That's at the point (-2, -1).

Answer A.

7 0

3 years ago

Hey anyone in 7th grade I need advise, on a guy

nadezda [96]

Answer:

im in 6th but i gotchu, spilllll

Step-by-step explanation:

7 0

2 years ago

45 points! I have this die soon so, please answer

sweet-ann [11.9K]

Answer:

5/9cd

Step-by-step explanation:

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2 years ago

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Evaluate n + 11 for n = 3. ! plz help 81433311