If the area of the right triangle is 72 what is the value of x

<img src="https://tex.z-dn.net/?f=%20%7B2%7D%5E%7Bm%7D%20%20%3D%20n%20" id="TexFormula1" title=" {2}^{m} = n " alt=" {2}^{m} =

sveta [45]

Answer:

$\displaystyle n^3-\frac{1}{n^{2}}$

Step-by-step explanation:

Exponents Properties

We need to recall the following properties of exponents:

$(a^x)^y=(a^y)^x=a^{xy}$

$\displaystyle a^{-x}=\frac{1}{a^x}$

We are given the expression:

$2^m=n$

We need to express the following expression in terms of n.

$8^m-4^{-m}$

It's necessary to modify the expression to use the given equivalence.

Recall $8=2^3 \text{ and }4 = 2^2$ . Thus:

$(2^3)^m-(2^2)^{-m}$

Applying the property:

$(2^m)^3-(2^m)^{-2}$

Substituting the given expression:

$n^3-n^{-2}$

Or, equivalently:

$\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}$

5 0

3 years ago

A certain brand of jelly beans are made so that each package contains about the same number of beans. The filling procedure is n

pantera1 [17]

Answer:

p=0.063

Step-by-step explanation:

Let X be number of the certain brand of jelly beans that are made so that each package contains about the same number of beans.

X is N(375, 8)

YOu are collecting a sample size of

n = 8

Findings from the sample

$\bar x =370\\$

$H_0: \bar x =375\\H_a: \bar x$

(Left tailed test at 5% level)

Since sample size is small though sigma is known we use Z test, since norm

Mean difference = -5

Std error = $\frac{8}{\sqrt{8} } =2.828$

Test statistic t = mean diference / std error = $\frac{-5}{2.828} \\=-1.768$

df = n-1 =5

p value = 0.063

7 0

3 years ago

Silver is a white metal and is an excellent conductor of heat and electricity. The density of silver is 10.49 g/cm3. Silver does

sveta [45]

A physical property is that it is a white metal. The other descriptions are all chemcial properties such as how it reacts and conducts. Density could also be another answer as it is also physical.

7 0

3 years ago

Read 2 more answers

Suppose that work hours in new zombie are 200 in year 1 and productivity is $8 per hour worked. what is new zombie's real gdp? i

olasank [31]

Given that work hours in new zombie are 200 in year 1 and productivity is $8 per hour worked.

The new zombie's real gdp in year 1 is given by 200 x $8 = $1,600

If work hours increase to 210 in year 2 and productivity rises to $10 per hour.

The new zombie's real gdp in year 2 is given by 210 x $10 = $2,100

The new zombie's rate of economic growth is given by

$\frac{\$2,100-\$1,600}{\$1,600} \times 100\%= \frac{\$500}{\$1,600} \times100\%=31.25\%$

7 0

3 years ago

A cyclist travels 15km due north and then 18 km due east. How far is she from the starting point?

zavuch27 [327]

Answer:

DONT KNOW SRY

Step-by-step explanation:

8 0

2 years ago