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2 years ago

Which expression is equivalent to (x Superscript one-fourth Baseline y Superscript 16 Baseline) Superscript one-half?

1 answer:

5 0

The expression that is equal to (x Superscript one-fourth Baseline y Superscript 16 Baseline) is x Superscript one-eighth Baseline y Superscript 8.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression that is equal to (x Superscript one-fourth Baseline y Superscript 16 Baseline) can be found by simplifying the given algebraic equation,

$(x^{\frac14}y^{16})^{\frac12}\\\\=x^{(\frac14 \times \frac12)} \times y^{(16 \times \frac12)}\\\\= x^{\frac18}y^{8}$

Hence, the expression that is equal to (x Superscript one-fourth Baseline y Superscript 16 Baseline) is x Superscript one-eighth Baseline y Superscript 8.

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Which is the side length of a cube with a volume of 1331 m3?

suter [353]

Let's remember the equation for the volume of a cube:
V= x^3 where x is the length of one side
Since a cube has equal length for length, width, and height.

Now, use what you're given
V= 1331

And put that in terms of x
x^3 = 1331

Now solve for x!
x= cube root (1331)

Think about it! cube root of 1331 * cube root of 1331 * cube root of 1331... will equal 1331 m^3!

Hope this helps

8 0

3 years ago

A figure in the first quadrant is rotated 180° counterclockwise about the origin. In which quadrant will the rotated figure appe

amm1812

I believe quadrant 3

4 0

3 years ago

Read 2 more answers

In testing a certain kind of missile, target accuracy is measured by the average distance X at which the missile explodes. The d

3241004551 [841]

Answer:

The answer is c) 761.0

Step-by-step explanation:

Mathematical hope (also known as hope, expected value, population means or simply means) expresses the average value of a random phenomenon and is denoted as E (x). Hope is the sum of the product of the probability of each event by the value of that event. It is then defined as shown in the image, Where x is the value of the event, P the probability of its occurrence, "i" the period in which said event occurs and N the total number of periods or observations.

The variance of a random variable provides an idea of the dispersion of the random variable with respect to its hope. It is then defined as shown in the image.

Then you first calculate E [x] and E [ $x^{2}$ ], and then be able to calculate the variance.

$E[x]=0*\frac{1}{40} +10*\frac{1}{20} +50*\frac{1}{10} +100*\frac{33}{40}$

$E[x]=0+\frac{1}{2} +5+\frac{165}{2}$

E[X]=88

So <em>E[X]²=88²=7744</em>

On the other hand

$E[x^{2} ]=0^{2} *\frac{1}{40} +10^{2} *\frac{1}{20} +50^{2} *\frac{1}{10} +100^{2} *\frac{33}{40}$

E[x²]=0+5+250+8250

Then the variance will be:

Var[x]=8505-7744

5 0

3 years ago

The length of a shadow of a building is 26 m. The distance from the top of the building to the tip of the shadow is 37 m. Find t

Juliette [100K]

Answer:

26.3 m

Step-by-step explanation:

The length of a shadow of a building is 26 m. The distance from the top of the building to the tip of the shadow is 37 m. Find the height of the building.

We solve the above question using Pythagoras theorem

c² = a² + b²

Where

c = Longest part of the triangle = 37 m

a = Height of the triangle = ?

b = Length of the shadow = 26 m

Hence:

37² = a² + 26²

a² = 37² - 26²

a = √37² - 26²

a = √(693)

a = 26.324893162m

Approximately = 26.3 m

3 0

3 years ago

Help with 9 pls thx

ziro4ka [17]

The answer to the problem is -25

4 0

3 years ago