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rusak2 [61]
2 years ago
8

Evaluate the expression \dfrac{x^5}{x^2} x 2 x 5 ​ start fraction, x, start superscript, 5, end superscript, divided by, x, squa

red, end fraction for x=2x=2x, equals, 2.
Mathematics
1 answer:
Elza [17]2 years ago
7 0

Answer:

  8

Step-by-step explanation:

Fill in the variable value and do the arithmetic.

  \dfrac{2^5}{2^2}=\dfrac{32}{4}=8

___

Of course, the fraction can be simplified first:

  \dfrac{x^5}{x^2}=x^{5-2}=x^3\\\\2^3=8

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First you turn both fractions into improper fractions, (-23/20-47/20) then yousubtract the numerator(the top of the fraction) -23-47=-70--> -70/20=7/2. Hope i helped;)
5 0
3 years ago
The___ of a figure is a measurement of the space inside it
aksik [14]

The answer is the AREA of a figure is a measurement of the space inside it.

6 0
3 years ago
Given a required reserve ratio of 10 percent for all banks, total bank reserves of $400 billion could support maximum deposits o
serious [3.7K]

Answer:

The maximum deposit is $4,000 billion.

Step-by-step explanation:

Consider the provided information.

It is given that the required reserve ratio of 10 percent for all banks.

It is given that total bank reserves of $400 billion.

Let the maximum deposit is x.

Therefore, 10% of x = $400 billion

\frac{10}{100}\times x=\$400\text{ billion}

x=\frac{100}{10}\times \$400\text{ billion}

x=10\times \$400\text{ billion}

x=\$4000\text{ billion}

Hence, the maximum deposit is $4,000 billion.

8 0
3 years ago
There are two formulas that can be used to find the volume of a rectangular prism. Find the volume using both formulas.
Rina8888 [55]

Answer:

Volume = \frac{1}{8} cubic units.

Step-by-step explanation:

The volume of a rectangular prism is given by,

V =  (\textrm {Length}) \times (\textrm {Width}) \times (\textrm {Height})  .......... (1) and

V = (\textrm {Base Area})\times (\textrm {Height}) .......... (2)

Now, the length of the given prism is \frac{1}{2} units, width is \frac{1}{2} units and the height is \frac{1}{2} units.

So. from equation (1) the volume, V = (\frac{1}{2}) \times (\frac{1}{2}) \times (\frac{1}{2}) = \frac{1}{8} cubic units.

Now, base area = B = (\frac{1}{2}) \times (\frac{1}{2}) = \frac{1}{4} sq. units.

So, from equation (2) we get

V = (\frac{1}{4}) \times (\frac{1}{2}) = \frac{1}{8} cubic units. (Answer)

4 0
3 years ago
Use the Change of Base Formula to evaluate log3 58. Then convert log3 58 to a logarithm in base 4. Round to the nearest thousand
Natali5045456 [20]
Hello,

log_3(58)= \dfrac{ln(58)}{ln(3)}=3,69597450... \\

log_3(58)=log_4(x)\\

 \dfrac{ln(58)}{ln(3)} = \dfrac{ln(x)}{4}==\textgreater\ x=e^{ \frac{ln(58)*ln(4)}{ln(3)}}\\

 =167,957104437222249066099...



≈167.96
5 0
2 years ago
Read 2 more answers
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