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Mathematics

1 answer:

ser-zykov [4K]3 years ago

4 0

First, I'm going to separate factor the expression inside of the square root.

sqrt[ (2/18) * (x^5) ]

sqrt[ (1/9) * (x^5) ]

We can take the square root of 1/9 easily, because 1 and 9 are both perfect squares. The square root of 1/9 is 1/3.

Looking at the x^5, we can separate it into x^2 * x^2 * x^1. The square root of x^2 is x. So, we now also have an x^2 on the outside because there are two x^2s in our expanded form.

ANSWER: (x^2 * sqrt(x)) / 3

(Option 1)

Hope this helps!

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3+-1/1/3 the first half is 3+-1 the second half is 1/3

kolbaska11 [484]

$\bf \cfrac{3\pm1}{\frac{1}{3}}\implies 
\begin{cases}
\cfrac{3+1}{\frac{1}{3}}\\\\
\cfrac{3-1}{\frac{1}{3}}
\end{cases}\\\\
-------------------------------\\\\$

$\bf \cfrac{3+1}{\frac{1}{3}}\implies \cfrac{4}{\frac{1}{3}}\implies \cfrac{\frac{4}{1}}{\frac{1}{3}}\implies \cfrac{4}{1}\cdot \cfrac{3}{1}\implies \cfrac{4\cdot 3}{1\cdot 1}\implies \cfrac{12}{1}\implies \boxed{12}
\\\\\\
\cfrac{3-1}{\frac{1}{3}}\implies \cfrac{2}{\frac{1}{3}}\implies \cfrac{\frac{2}{1}}{\frac{1}{3}}\implies \cfrac{2}{1}\cdot \cfrac{3}{1}\implies \cfrac{2\cdot 3}{1\cdot 1}\implies \cfrac{6}{1}\implies \boxed{6}$

6 0

3 years ago

You just bought a new laptop and paid an initial payment of $150.00. You will make 12 payments of $69.50. How much will the comp

kicyunya [14]

The computer will cost $924.96 after 6% tax.

<h3>Total cost of laptop</h3>

The initial payment of the laptop made = $150.00

The remaining balance that would be made = 12 × 69.50

=$834

Therefore total cost of laptop before tax = 834 + 150

= $984

But tax is 6% of total cost =

$\frac{6}{100} \times 984$

$\frac{5904}{100}$

= $59.04

Therefore, total cost of laptop after tax = 984 - 59.04

= $924.96

Learn more about costs of products here:

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8 0

3 years ago

Ellentown college has appoximately 3 times 10 to the 3 power students and pengrove university approximate 30,000 students. how m

Andreas93 [3]

Answer:

Given: Ellentown college has approximately 3 times 10 to the 3 power students and pengrove university approximate 30,000 students.

⇒ number of students approximately in Ellentown college = $3 \times 10^3$

also,

the number of students approximately in Pengrove university = 30,000 or $3 \times 10^4$

We have to find how many times as much is the number of students at pengrove university as the number of students at Ellentown college.

$\frac{number of students in Pengrove University}{number of students in Ellentown college}$ = $\frac{3 \times 10^4}{3 \times 10^3} = 1 \times 10^1 = 10$