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2 years ago

Use inequality symbol to compare -3 + 7--------10 - 2

Mathematics

2 answers:

Maurinko [17]2 years ago

6 0

4 greater than negative 12
basically ≥ this but without the line on the bottom

melisa1 [442]2 years ago

5 0

$-3+7=4$

$-10-2=-12$

$4>-12$

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A sphere is inscribed in a cube with a volume of 64 cubic inches. What is the volume of the sphere? Round your answer to the nea

erma4kov [3.2K]

Answer:

the volume of the sphere is

$33.51 in^{3}$

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere and cube.

Given data

Volume of cube v = 64 cubic inches

since we are dealing with a cube the height and the radius of the sphere is same as the sides of the cube,

we know that volume of cube is expressed as

$v= l*b*h$

$v=l^{3}$

$64= l^{3}$

$l= \sqrt[3]{64}$

$l= 4 in$

also diameter d=length l

Diameter d= $4in$

Radius r = $\frac{d}{2}$ = $\frac{4}{2}$ = ${2 in}$

Height h= $4in$

we know that the volume of a sphere is given by

$v= \frac{4}{3} \pi r^{3}$

substituting into the formula we have

$v= \frac{4}{3} \ *3.142*2^{3} \\v=\frac{4*3.142*8}3} \\v= \frac{100.54}{3} \\v= 33.52in^{3}$

8 0

2 years ago

Why would "-7" in the expression (x^2+3)-(x-7) become positive?

ryzh [129]

You would use the distributive property with the negative. So the second x becomes negative, but since the 7 is already negative it becomes positive. Think of it as if you put the two dashes together you can make a plus sign.

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2 years ago

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In how many ways can 3 cards from a deck of 52 cards can be laid in a row face up?

tresset_1 [31]

Ok slot method
3 slots
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2nd slot has 51 optoins (1 went to first slot)
3rd slot has 50 options (1 went to previous slot)

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2 years ago

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What is the value of x?

tigry1 [53]

Sense -4 and +2 would be 6 digits away from each other, we would then have to figure out, what would 4 times x - 2 would equal "x".

We would do, 4×2 = 8.

8 - 2 = 6.

Sense 6 is the amount of how much -4 and +2 would be from each other, this would then mean that x would then equal 8.

$\boxed{x=8}$

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2 years ago

Please helppp why is he right or wrong!!

bagirrra123 [75]

Answer:

We cannot agree with Andre because x = 3.

Step-by-step explanation:

Assuming the diagram is a weighing scale which can also be represented as an equation having two sides that is balanced. We can express the situation as follows using equation:

x + 2 = 5

Solve for x

x + 2 - 2 = 5 - 2 (subtraction property of equality)

x = 3

If you plug in the value of x on the diagram given, the scale becomes balance on each side.

Therefore, x = 3. Andre is wrong and we cannot agree with Andre.

7 0

2 years ago