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3 years ago

7

Which expression is equivalent to 3 sqrt 27x^18

1 answer:

shusha [124]3 years ago

6 0

Assuming your original expression was 3√(27x¹⁸), the answer is 9x⁹√(3).

We split up the radicand into perfect squares. Once we do, we take out the things that were squared:
$3\sqrt{27x^{18}} = 3\sqrt{3\times3\times3x^2x^2x^2x^2x^2x^2x^2x^2x^2x^2} = 3*3*xxxxxxxxx\sqrt{3}
$
$=9x^9\sqrt{3}$

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Which of the following is equal to C(10, 3)?<br> C(3, 10)<br> C(10, 7)<br> P(10, 3)

Ghella [55]

Answer:

P

Step-by-step explanation:

C and P are both (10,3).

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3 years ago

Read 2 more answers

Consider circle H below.

hram777 [196]

We have been given a circle H, in which length of arc XY is 78 miles and measure of arc XY is 70 degrees. We are asked to find the radius of circle.

We will use arc length formula to solve our given problem.

$\text{Arc length}=2\pi r\cdot \frac{\theta}{360^{\circ}}$ , where,

r = Radius of circle,

$\theta$ = Central angle corresponding to arc.

We know that the measure of central angle that corresponds to arc XY will be equal to measure of arc XY.

$78=2\cdot 3.14\cdot r\cdot \frac{70^{\circ}}{360^{\circ}}$

$78=2\cdot 3.14\cdot r\cdot \frac{7}{36}$

$78= 3.14\cdot r\cdot \frac{7}{18}$

$78= r\cdot \frac{21.98}{18}$

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Upon rounding to nearest hundredth, we will get:

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3 years ago

The nth term of a sequence is 3n2/2

Anna71 [15]

Question:

The nth term of a sequence is $\frac{3n^2}{2}$ . Find the fifth term of the sequence

Answer:

The 5th term of the sequence is 37.5

Step-by-step explanation:

Given

$nth\ term = \frac{3n^2}{2}$

Required

Find the 5th term

To find the 5th term, we simply substitute 5 for n in the above expression.

This gives

$5th\ term = \frac{3 * 5^2}{2}$

$5th\ term = \frac{3 * 5 * 5}{2}$

$5th\ term = \frac{75}{2}$

$5th\ term = 37.5$

<em>Hence, the 5th term of the sequence is 37.5</em>

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3 years ago

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atroni [7]

Answer:

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=> D is correct

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3 years ago

If h(x) = x – 7 and g(x) = x2, which expression is equivalent to (907)(5)?

stiv31 [10]

Answer:

$(5-7)^{2}$

Step-by-step explanation:

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h(5) = 5-7

plug in h(5) where you have x.

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3 years ago