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3 years ago

13

Click on the volume of this cube.

2 answers:

musickatia [10]3 years ago

5 0

512, the formula for volume is length x width x height :)

Vedmedyk [2.9K]3 years ago

3 0

Answer: C

Step-by-step explanation:

You might be interested in

I NEED HELP!! Please

Lilit [14]

Answer:

Step-by-step explanation:

P represents the original price of the sandwich

1.5 represents the discount

6 0

3 years ago

A study of the relationship between age and various visual functions (such as acuity and depth perception) reported the followin

maks197457 [2]

Answer:

(a) $\sum x_i=56.68$ and $\sum x_i^2=197.46$

(b) The sample variance is $s^2=0.530$ and the sample standard deviation is $s=0.728$

Step-by-step explanation:

(a)

The sum of these 17 sample observations is

$\sum x_i=2.79\:+2.57+\:2.73\:+3.75\:+2.27+\:2.75+\:4.00+\:4.22+\:3.88+\:4.35+\:3.41+\:4.57+\:2.38+\:3.73\:+2.75+\:3.47+\:3.06\\\\\sum x_i=56.68$

and the sum of their squares is

$\sum x_i^2=2.79^2\:+2.57^2+\:2.73^2\:+3.75^2\:+2.27^2+\:2.75^2+\:4.00^2+\:4.22^2+\:3.88^2+\:4.35^2+\:3.41^2+\:4.57^2+\:2.38^2+\:3.73^2\:+2.75^2+\:3.47^2+\:3.06^2\\\\\sum x_i^2=197.46$

(b)

The sample variance, denoted by $s^2$ , is given by

$s^2=\frac{S_{xx}}{n-1}$

where $S_{xx} =\sum x_i^2-\frac{(\sum x_i)^2}{n}$

Applying the above formula we get that

$S_{xx}=197.46-\frac{(56.68)^2}{17}\\\\S_{xx} =8.482$

$s^2=\frac{8.482}{17-1}=0.530$

The sample standard deviation, denoted by <em>s</em>, is the (positive) square root of the variance:

$s=\sqrt{s^2}$

Applying the above formula we get that

$s=\sqrt{0.530}=0.728$

3 0

3 years ago

In what quadrant does the angle 2pi/3 terminate? I II III IV

dem82 [27]

Answer:

The angle 2pi/3 terminate in quadrant II

Step-by-step explanation:

Quadrant I ⇒ 0 < θ < (π/2)

Quadrant II ⇒ (π/2) < θ < (π)

Quadrant III ⇒ (π) < θ < (3π/2)

Quadrant IV⇒ (3π/2) < θ < (2π)

When θ = 2π/3

∴ (π/2) < θ < (π)

So, The angle 2pi/3 terminate in quadrant II

4 0

4 years ago

Read 2 more answers

What should replace x in the equation X/4-3=6 ?

umka21 [38]

Answer:

36

Step-by-step explanation:

36 divided by 4 is 9

9-3 is 6

5 0

3 years ago

Practice simplifying rational expressions with negative exponents.

Gelneren [198K]

Answer:

Part 1:- option first is correct

$-\frac{1}{2}ab^{12}$

Part 1:- option third is correct

$\frac{w^{10}}{3y^{4}}$

Step-by-step explanation:

Given:

The given ration expressions are.

1. $\frac{-2a^{2}b^{4}}{4ab^{-8}}$

2. $\frac{-5w^{4}y^{-2}}{-15w^{-6}y^{2}}$

We need to simplify the given expressions.

Solution:

Part 1:-

Given expression is

$=\frac{-2a^{2}b^{4}}{4ab^{-8}}$

Using law of exponents $\frac{x^{m} }{x^{n} } = x^{(m-n)}$

$=-\frac{a^{2-1}b^{4-(-8)}}{2}$

$=-\frac{a^{1}b^{4+8}}{2}$

$=-\frac{ab^{12}}{2}$

$=-\frac{1}{2}ab^{12}$

Therefore, option first $-\frac{1}{2}ab^{12}$ is correct.

Part 2:-

Given expression is.

$=\frac{-5w^{4}y^{-2}}{-15w^{-6}y^{2}}$

Using law of exponents $\frac{x^{m} }{x^{n} } = x^{(m-n)}$

$=\frac{w^{4-(-6)}y^{-2-2}}{3}$

$=\frac{w^{4+6}y^{-4}}{3}$

$=\frac{w^{10}y^{-4}}{3}$

$=\frac{w^{10}}{3y^{4}}$

Therefore, third option $\frac{w^{10}}{3y^{4}}$ is correct.

4 0

3 years ago