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2 years ago

Simplify. 3/(square root)-125n^12 -5 n9 -5 n4 5 n4

Mathematics

1 answer:

Alex17521 [72]2 years ago

7 0

Answer:

B) $-5n^4$

Step-by-step explanation:

We want to simplify $\sqrt[3]{-125n^{12}}$

$\sqrt[3]{-125n^{12}} = \sqrt[3]{-1 * - 1 * -1 * 5 * 5 * 5 * n^4 * n^4 * n^4} \\\\= \sqrt[3]{(-1)^3 * 5^3 * (n^4)^3}\\\\= -1 * 5 * n^4\\\\= -5n^4$

The answer is $-5n^4$

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5. How long will it take Greg to earn $500.00? Round to the nearest hour

Hunter-Best [27]

Answer:

61 hours

Step-by-step explanation:

See the attached figure to better understand the problem

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

To find out the constant of proportionality k , divide the variable y (total earned) by the variable x (number of hours)

<em>Kevin's wage</em>

Take any point from the table

I take the point (2,16.50)

$k=\frac{16.50}{2}=\$8.25\ per\ hour$

The equation of the proportional relationship is equal to

$y=kx$

substitute the value of k

$y=8.25x$

For y=$500.00

substitute the value of y in the equation and solve for x

$500=8.25x$

Divide by 8.25 both sides

$x=\frac{500}{8.25}=61\ h$

5 0

2 years ago

Why does multiplying a + bi by the complex conjugate a -bi eliminate I from the expression

navik [9.2K]

<u>EXPLANATION</u>

The reason is that

$i^2=-1$

If we multiply $a+bi$ by its conjugate $a-bi$

We obtain;

$(a+bi)(a-bi)$

This is difference of two squares so we obtain;

$(a+bi)(a-bi)=a^2-(bi)^2$

This further gives us,

$(a+bi)(a-bi)=a^2-b^2i^2$

Since the $i^2=-1$ , we substite to get;

$(a+bi)(a-bi)=a^2-b^2(-1)$

The $i$ is now eliminated and we get,

$(a+bi)(a-bi)=a^2+b^2$

6 0

2 years ago

What is 2 hundreds + 15 tens + 6 ones

qwelly [4]

Two one hundred is 200.
15 tens is 150.
Six ones is the same.
$200 + 150 + 6 = 456$

5 0

2 years ago

Read 2 more answers

Factor 18p-3618p−3618, p, minus, 36 to identify the equivalent expressions. Choose 2 answers: Choose 2 answers:

lisabon 2012 [21]

Answer:

18(p-2)

Step-by-step explanation:

We want to factor $18p-36$

We know that the greatest common factor is 18.

So we can rewrite to obtain:

$18*p-18*2$

We factor the GCF to obtain:

$18(p-2)$

Therefore $18p-36=18(p-2)$

Therefore the equivalent expression to 18p-36 is 18(p-2)

5 0

2 years ago

Read 2 more answers

Sven is trying to find the maximum amount of time he can spend practicing the five scales of piano music he is supposed to be wo

Katena32 [7]

Answer:

He should spend 3 minutes or less on each scale

Sven made a mistake in the symbol of inequality, placing lesser or equal instead of greater or equal

Step-by-step explanation:

Let

t ------> is the number of minutes he spends on each scale

Remember that the phrase "at least" is equal to "greater than or equal"

The inequality that represent this scenario is

$70-5t \geq 55$

solve for t

$-5t \geq 55-70$

$-5t \geq -15$

Multiply by -1 both sides

$5t \leq 15$

Divide by 5 both sides

$t \leq 3$

Sven is incorrect

He should spend 3 minutes or less on each scale

Sven made a mistake in the symbol of inequality, placing lesser or equal instead of greater or equal

5 0

2 years ago