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3 years ago

Simplify (8 ^2/3) ^4

Mathematics

2 answers:

BabaBlast [244]3 years ago

7 0

Answer:

$8^{\frac{8}{3}}$

Step-by-step explanation:

Rule of Exponents: $(r^n)^m=r^{m(n)}$

Simply multiply the powers together:

2/3(4) = 8/3

$8^{\frac{8}{3}}$

vredina [299]3 years ago

6 0

Answer:

Its 8 and eight-thirds

Step-by-step explanation:

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Square root of 512m^3. show work

ElenaW [278]

The solution would be like this for this specific problem:

√512m³ = √256m² × √2m

= 16 × √2m

I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

6 0

4 years ago

The Volume of a sphare is 28/3 times the surface area calculate The surface area and the Volume of the sphere, correct to the ne

Aloiza [94]

Given:

Volume of a sphere is $\dfrac{28}{3}$ times the surface area.

To find:

The surface area and the volume of the sphere.

Solution:

Volume of a sphere:

$V=\dfrac{4}{3}\pi r^3$ ...(i)

Surface area of a sphere:

$A=4\pi r^2$ ...(ii)

Where, r is the radius of the sphere.

Volume of a sphere is $\dfrac{28}{3}$ times the surface area.

$V=\dfrac{28}{3}\times A$

$\dfrac{4}{3}\pi r^3=\dfrac{28}{3}\times 4\pi r^2$

Multiply both sides by 3.

$4\pi r^3=112\pi r^2$

$\dfrac{\pi r^3}{\pi r^2}=\dfrac{112}{4}$

$r=28$

Using (i), the volume of the sphere is:

$V=\dfrac{4}{3}\times \dfrac{22}{7}\times (28)^3$

$V\approx 91989$

Using (ii), the surface area of the sphere is:

$A=4\times \dfrac{22}{7}\times (28)^2$

$A=9856$

Therefore, the surface area of the sphere is 9856 sq. units and the volume of the sphere is 91989 cubic units.

3 0

3 years ago

16. All natural numbers are:

Kitty [74]

Answer:

Answer is C.Whole number.

Step-by-step explanation:

Natural numbers are all numbers 1, 2, 3, 4… They are the numbers you usually count and they will continue on into infinity. Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4… Integers include all whole numbers and their negative counterpart e.g. …

I hope it's helpful!

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3 years ago

The function C(x) = 25x + 50 represents the labor cost (in dollars) for Certified Remodeling to build a deck, where x is

Whitepunk [10]

Answer:

Master Remodeling

Step-by-step explanation:

<em>Original question is attached</em>

<h3>Option 1</h3>

C(x) = 25x + 50
C(8) = 25*8 + 50 = $250

<h3>Option 2</h3>

As per table, the rate of change is $30 per 2 hours.
So 8 hours will cost
$190 + $30 = $220

As we see the second option is cheaper so we should hire the Master Remodeling

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3 years ago

Which expression is equivalent to 6(2x + 4)

aleksley [76]

Answer:

12x+24

Step-by-step explanation:

by multiplying the number 6 into the term inside of the bracket gives 12x + 24

6 0

3 years ago