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4 years ago

What is the cube root of 27x18? 3x6 3x9 9x6 9x9

Mathematics

2 answers:

Citrus2011 [14]4 years ago

8 0

Answer:

3x6 would be your answer

Step-by-step explanation:

vredina [299]4 years ago

3 0

Solution:

A is the correct option.

Explanation:

We have to find the cube root of $27x^{18}$

In order to find the cube root of the expression, we find the factors of 27.

$27= 3 \times 3\times 3= 3^3$

Also x^18 can be written as

$x^{18}=(x^6)^3$

Replace the given expression with these values, we get

$\sqrt[3]{27x^{18}} =\sqrt[3]{3^3 \cdot (x^6)^3 }$

Now, we have the formula,

$\sqrt[n]{x^n} =x$

Using this formula, the cube with the cube root got cancelled and we are left with

$\sqrt[3]{27x^{18}} = 3\cdot x^6$

Therefore, the cube root of 27x^18 is 3x^6.

A is the correct option.

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Write the number, 81.402 in expanded form using powers of ten.

stich3 [128]

Answer:

the answer is 81.402 in expanded form using the powers of ten = (8 x 10^1) + (1 x 10^0) + (4/10^1) + (0/10^2) + (2/10^3)

Step-by-step explanation:

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3 years ago

How do you solve this problem and what did you do to gain the answer 1/64+5/8-3/32=?

valentinak56 [21]

The answer is 35/64 or 0.546875 in decimal form

first we write all numerators above the least common denominator 64
1+40-6
————
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next we solve the numerators by doing 1+40-6 to get 35/64

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3 years ago

Read 2 more answers

Plot the complex number 5i and find its absolute value

cupoosta [38]

Check the picture below.

$\bf 5i\implies \stackrel{a}{0}~~\stackrel{b}{+5}i\implies \stackrel{\stackrel{absolute~value}{modulus}}{r=\sqrt{a^2+b^2}}\implies r=\sqrt{0^2+5^2}\implies r=5$

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4 years ago

A one-sided hypothesis test is to be performed with a significance level of 0.05. Suppose that the null hypothesis is false. If

vova2212 [387]

Answer:

E) The probability of a Type II error would increase and the power of the test would decrease.

3 0

3 years ago

Ice Cream Scoops - In shops with lots of ice-cream flavors there are many different flavor combinations, even with only a 2-scoo

blondinia [14]

Answer:

The general formula that can be used to find the required combinations for n flavor ice-cream.

$N_n = \frac{n(n+1)}{2}$

For 10 ice-cream flavors

$N_{10} = \frac{10(10+1)}{2}$

$N_{10} = 55$

Step-by-step explanation:

Let V = Vanila, C = Chocolate, S = Strawberry, P = Pineapple, B = Berry

2 ice-cream flavor:

V, C

{V/V, V/C, C/C}

3 possible combinations

3 ice-cream flavor:

V, C, S

{V/V, V/C, V/S, C/S, C/C, S/S}

6 possible combinations

4 ice-cream flavor:

V, C, S, P

{V/V, V/C, V/S, V/P, C/S, C/P, S/P, C/C, S/S, P/P}

10 possible combinations

5 ice-cream flavor:

V, C, S, P, B

{V/V, V/C, V/S, V/P, V/B, C/S, C/P, C/B, S/P, S/B, P/B, C/C, S/S, P/P, B/B }

15 possible combinations

So we have a series of

3, 6, 10, 15...

This series is known as Triangular number series

1 + 2 = 3

1 + 2 + 3 = 6

1 + 2 + 3 + 4 = 10

1 + 2 + 3 + 4 + 5 = 15

The general formula for this series is

$N_n = \frac{n(n+1)}{2}$

Using the above formula we can predict the number of 2-scoop combinations with 10 flavors.

$N_{10} = \frac{10(10+1)}{2}$

$N_{10} = 55$

Therefore, there are 55 different combinations of 2-scoop with 10 flavors.

5 0

3 years ago