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2 years ago

15

What is the answer of:

le="2 \div 3 + \sqrt{5} " alt="2 \div 3 + \sqrt{5} " align="absmiddle" class="latex-formula">

1 answer:

pshichka [43]2 years ago

4 0

Answer:

$\frac{2 \: + \: 3 \sqrt{5} }{3}$

Step-by-step explanation:

$\frac{2}{3} + \sqrt{5} =$

$= \frac{2}{3} + ( \sqrt{5} \times \frac{3}{3} )$

$= \frac{2}{3} + \frac{3 \sqrt{5} }{3}$

$= \frac{2 \: + \: 3 \sqrt{5} }{3}$

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PLZ HELP ASAP!!!!! <img src="https://tex.z-dn.net/?f=" id="TexFormula1" title="" alt="" align="absmiddle" class="latex-formula">

AveGali [126]

The simplified expression of $$4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$ is $4x^3$ .

Solution:

Given expression is $4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$ .

To simplify the given expression.

$$\Rightarrow4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$

Using exponent rule: $\frac{1}{a^{-m}}=a^m$

$$\Rightarrow4x \cdot x^{5}.x^{-3}$

Using another exponent rule: $a^m \cdot a^n=a^{m+n}$

$$\Rightarrow4x \cdot x^{5-3}$

$$\Rightarrow4x \cdot x^{2}$

Using exponent rule: $a^m \cdot a^n=a^{m+n}$

$$\Rightarrow4x^{1+2}$

$$\Rightarrow4x^3$

Hence the simplified expression of $$4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$ is $4x^3$ .

8 0

3 years ago

A perfect square is a number that has an integer square root<br><br> True or false

Sati [7]

This is true.
These are perfect squares: 4, 9, 25. These are not: 7, 8, 11

8 0

3 years ago

Read 2 more answers

Find the interest<br> earned:<br> $26,000 for 36 months<br> at 7.5% annual<br> compound interest

stich3 [128]

Answer:

Interest = $6,300 (Approx.)

Step-by-step explanation:

Given:

Amount deposit (P) = $26,000

Number of month = 36 month

Number of year (n) = 36 / 12 = 3 year

Rate of interest (r) = 7.5% = 0.075

Find:

Interest earned

Computation:

Interest = p[(1+r)ⁿ-1]

Interest = 26,000[(1+0.075)³-1]

Interest = 26,000[(1.075)³-1]

Interest = 6,299.71

Interest = $6,300 (Approx.)

7 0

2 years ago

7/8*16/21<br><br> i need help

Pavlova-9 [17]

Answer:

$\frac{7}{8} \times \frac{16}{21} = \frac{2}{3}$

Step-by-step explanation:

this is the answer.hope this helps you

6 0

3 years ago

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Which solid has five faces, four lateral faces, one base, five vertices, and eight edges?

Tanzania [10]

The solid that has five faces , four lateral faces, one base, five vertices, and eight edges would be :
Square pyramid

Hope this helps

6 0

3 years ago