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3 years ago

Can someone please explain this.

Mathematics

1 answer:

Vitek1552 [10]3 years ago

5 0

Answer:

The correct option is option A

Step-by-step explanation:

We have the following expression:

sqrt(18x^3) - sqrt(9x^3) + 3sqrt(x^3) - sqrt(2x^3)

We know that sqrt(a*b) = sqrt(a)sqrt(b)

Applying this, we have:

sqrt(18)sqrt(x^3) - 3sqrt(x^3) + 3sqrt(x^3) - sqrt(2)sqrt(x^3)

sqrt(x^3)[ sqrt(18) - sqrt(2)]

sqrt(x^3)[ 3sqrt(2)- sqrt(2)]

sqrt(x^3)[2sqrt(2)]

Then we now that:

sqrt(x^3)[2sqrt(2)] = 2x*sqrt(2x)

The correct option is option A

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Which set of graphs can be used to find the solution set to 3e* > >-x?

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The attached graph represents the solution set of $3e^x > \frac 12^x$

<h3>How to determine the graph?</h3>

The complete options are not given.

So, I would plot the graph that represents the solution set

The inequality is given as:

$3e^x > \frac 12^x$

Start by splitting the inequalities as follows:

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Read more about inequalities at:

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2 years ago

HELP!!!

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Answer:

(a) $ 30000 + 1500 t

(b) $ 52500

Step-by-step explanation:

Initial profit = # 30,000

Profit increases every year by 5 %.

(a) Let the profit after t year is

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(b) t = 15 years

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2 years ago

The sum of two numbers is 21 and their difference is 7 what are those two numbers

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3 years ago

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A container is shaped like a triangle prism. Each base of container is an equilateral triangle with the dimensions shown. The co

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Answer:

$\text{Lateral surface area of container}=270\text{ cm}^2$

Step-by-step explanation:

Please find the attachment.

We have been given that a container is shaped like a triangle prism. Each base of container is an equilateral triangle with each side 6 cm. The height of container is 15 cm.

To find the lateral surface area of our given container we will use lateral surface area formula of triangular prism.

$\text{Lateral surface area of triangular prism}=(a+b+c)*h$ , where, a, b and c represent base sides of prism and h represents height of the prism.

Upon substituting our given values in above formula we will get,

$\text{Lateral surface area of container}=(\text{6 cm+ 6 cm+6 cm})*\text{15 cm}$

$\text{Lateral surface area of container}=\text{18 cm}*\text{15 cm}$

$\text{Lateral surface area of container}=270\text{ cm}^2$

Therefore, lateral surface area of our given container is 270 square cm.

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3 years ago