All categories

3 years ago

Make an argument for why(4^2)4=(4^4)^2

1 answer:

3 0

Questions is incomplete however from what i understand it is asking (4^2)^4 which can be made that the arguement of the function is correct because its is the multiplication of radicals which however way you put it will equal the same

You might be interested in

How would you graph, y=-x-2

Natali5045456 [20]

Well you would start at Y= 0(-x) -2. So (0, -2) then you would move to the left by 1 and move down by 1.

6 0

3 years ago

Find all points (x, y) on f(x) = X^3 – 4x + 3 where the slope of the tangent line is 8.

MrRa [10]

Answer:

if you want answer that question go to qanda

4 0

3 years ago

How do I simplify (6^-2)(3^-3)(3 x 6)^4? Not the answer, just the simplified expression.

Mazyrski [523]

The simplification form of the provided expression is 108 after applying the integer exponent properties.

<h3>What is integer exponent?</h3>

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

We have an expression:

$=\left(6^{-2}\right)\left(3^{-3}\right)\left(3\:\cdot \:6\right)^4$

$=\dfrac{1}{36}\cdot \dfrac{1}{27}\left(3\cdot \:6\right)^4$

$=\dfrac{1}{36}\cdot \dfrac{1}{27}\cdot \:81\cdot \:1296$

$=\dfrac{1}{36}\cdot \dfrac{1}{27}\cdot \dfrac{104976}{1}$

$=\dfrac{104976}{972}$

= 108

Thus, the simplification form of the provided expression is 108 after applying the integer exponent properties.

Learn more about the integer exponent here:

brainly.com/question/4533599

#SPJ1

5 0

2 years ago

A rectangular box has a base that is 4 times as long as it is wide. The sum of the height and the girth of the box is 200 feet.

enyata [817]

Answer: V(W) = (1/3)*(*W^2*800ft - 8W^3) and the domain is 0 < W < 100ft.

Step-by-step explanation:

The dimensions of the box are:

L = length

W = width

H = heigth.

We know that:

L = 4*W

And the girth of a box is equal to: G = 2*W + 2*H

then we have:

2*W + 2*H + H = 200ft

2W + 3*H = 200ft

Then we have two equations:

L = 4*W

2W + 3*H = 200ft

We want to find the volume of the box, which is V = W*L*H

and we want in on terms of W.

Then, first we can replace L by 4*W (for the first equation)

and:

2*W + 3*H = 200ft

3*H = 200ft - 2*W

H = (200ft - 2*W)/3.

then the volume is:

V(W) = W*(4*W)*(200ft - 2*W)/3

V(W) = (1/3)*(*W^2*800ft - 8W^3)

The domain of this is the set of W such that the volume is positive, then we must have that:

W^2*800ft > 8W^3

To find the maximum W we can see the equality (the minimum extreme is 0 < W, because the width can only be a positive number)

W^2*800ft = 8W^3

800ft = 8*W

100ft = W.

This means that if W is equal or larger than 100ft, the equation gives a negative volume.

Then the domain is 0 < W < 100ft.

6 0

3 years ago

What is the decimal equivalent of 6/13 ? Round to tenths place. If answer doesn't

Arte-miy333 [17]

Answer:

0.5

Step-by-step explanation:

6/13 is the same as saying 6 ÷ 13

6 ÷ 13 = 0.4615384615

The first position after the decimal is the tenths column. Round up, because 6>5.

6 0

2 years ago