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2 years ago

PLS HELP

Mathematics

1 answer:

alexandr1967 [171]2 years ago

3 0

Answer:

Option 2

Step-by-step explanation:

Given :

$\frac{xy^{-6} }{x^{-4}y^{2} }$

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Applied Rule :

$\frac{x^{a} }{x^{b} } = x^{a-b}$

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Solving :

⇒ To remove negative exponents, bring to the opposite side (e.g. if in the denominator, bring to the numerator)

⇒ $\frac{x(x^{4}) }{y^{2}(y^{6}) }$

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Whats the process you would use to find the volume of the shipping box

iren2701 [21]

Answer:

Find length, width and height of the shipping box.

Step-by-step explanation:

In order to find the volume of the shipping box, you should measure the lengths of all its dimensions, that is length, width and height.

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3 years ago

Arithmetic sequences et sn} be an arithmetic sequence that starts with an initial index of 0. The initial term is 3 and the comm

navik [9.2K]

Answer:

(a) The value of $s_z$ is (z+1)(3-z).

(b) The next term in the sequence is -2.

Step-by-step explanation:

(a)

It is given that arithmetic sequence that starts with an initial index of 0.

The initial term is 3 and the common difference is -2.

$a_0=3$

$d=-2$

We need to find the value of $s_z$ .

$s_z=\sum_{n=0}^{n=z}(a+nd)$

where, a is initial term and d is common difference.

$s_z=\sum_{n=0}^{n=z}(3-2n)$

The sum of an arithmetic sequence with initial index 0 is

$s_n=\frac{n+1}{2}[2a+nd]$

where, a is initial term and d is common difference.

Substitute n=z, a=3 and d=-2 in the above formula.

$s_z=\frac{z+1}{2}[2(3)+z(-2)]$

$s_z=\frac{z+1}{2}[2(3-z)]$

$s_z=(z+1)(3-z)$

Therefore the value of $s_z$ is (z+1)(3-z).

(b)

The given arithmetic sequence is

7, 4, 1, ...

We need to find the term in the sequence.

In the given arithmetic sequence the first term is

$a=7$

The common difference of the sequence is

$d=a_2-a_1\Rightarrow 4-7=-3$

The first term is 7 and common difference is -3.

Add common difference in last given term, i.e., 1, to find the next term of the sequence.

$1+(-3)=1-3=-2$

Therefore the next term in the sequence is -2.

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4 years ago

A 21,000 gallon swimming pool contains 9000 gallons of water when a hose is placed in the pool and begins adding water at a rate

Pavel [41]

It will take 8 hours to fill the swimming pool. There is already 9,000 gallons filled, that leaves you with 12,000. 12,000 divided by the rate per hour 1,500. That gives you 8.

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3 years ago

Read 2 more answers

HELPPPP ME NOWWWW PLEASEE

sergiy2304 [10]

X = 101
Z = 30
Explanation:
A straight line is equal to 180 degrees. You see the angle equal to 79 is the opposite angle of x. 180 - 79 = 101.

You see that (3z - 11) is the same angle as the one equal to 79. So (3z - 11) = 79. So you think what minus 11 equals 79? 79 + 11 = 90. Now what times 3 equals 90? 90 divided by 3 = 30.

I know this explanation is probably confusing so let me know if I need to explain my explanation lol

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1 year ago

What is the area of the composite figure?

Evgesh-ka [11]

Answer:

Area of the semi circle is given by

$= \frac{\pi \: {r}^{2} }{2 } = \frac{\pi {(4)}^{2} }{2} = 8\pi$