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Alborosie
3 years ago
6

Match each expression with its verbal description.

Mathematics
1 answer:
elena-s [515]3 years ago
3 0

Answer:

Part 1) 6(x-4)^3

Part 2) (6x)^3-4

Part 3) (6x^3)-4

Part 4) (6x-4)^3

Step-by-step explanation:

Part 1) The difference of x and 4, cubed, times 6

we know that

The difference of x and 4 is (x-4)

cubed is (x-4)^3

times 6 is 6(x-4)^3

therefore

6(x-4)^3

Part 2) 4 less than the 3rd power of the product of 6 and X

we know that

the product of 6 and X is (6x)

the 3rd power is (6x)^3

4 less is (6x)^3-4

therefore

(6x)^3-4

Part 3) the product of x cubed and 6, minus 4

we know that

the product of x cubed and 6 is (6x^3)

minus 4 (6x^3)-4

Part 4) 4 less than 6x, cubed

we know that

4 less than 6x is ((6x-4)

cubed is (6x-4)^3

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The mass of the sphere is 800 lbs. Find the density of the sphere to the nearest tenth.
AURORKA [14]

Answer:

7.1 lbs / ft^3

Step-by-step explanation:

In this question, we are asked to calculate the density of the sphere in the diagram.

Firstly, to calculate the density , we apply a mathematical formula.

Mathematically, density = mass/volume

We have the mass already from the question but we will need to calculate what the volume is.

Mathematically, the volume of a sphere = 4/3 * pi * r^3

From the diagram, we can see that the radius of the sphere is 3 ft. Plugging this into the equation of the volume of a sphere, we have;

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Density = 800 lbs/ 113.143 ft^3 = 7.07 lbs/ ft^3 which is approximately 7.1 lbs/ ft^3

5 0
3 years ago
(4-3√3)(2-√3)???? (the question marks signal the gap between the question and then me starting to distribute)
katen-ka-za [31]

You have two binomials.  I would just FOIL them:

First:           4 x 2 = 8

Outside:  4 (-√3) = -4√3

Inside:   -3√3 (2) = -6√3

Last:   -3√3 (-√3) = 9

Addummup:  8  -  4√3  -  -6√3  +  9  =  17 - 10√3

6 0
3 years ago
Read 2 more answers
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Answer:

the answer is 2.

Step-by-step explanation:

How do I know this? well, those red arrows on the line show that those 2 sides (ED) and (AB) are congruent which means they are equal. therefore if they are equal and we know ED is 2, then we know AB is also 2. Hope this helped :)

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