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3 years ago

Please answer number 2

Mathematics

1 answer:

viva [34]3 years ago

8 0

They aren't necessarily equal because, for example, 3/2 = 1 remainder 1 and 5/4 = 1 remainder 1 aren't equal because it takes 2 x 1 = 2 + 1 = 3 while 4 x 1 = 4 + 1 = 5. They are the same quotient and remainer, except they aren't used to check if it multiplys back to the same divended.

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You wish to package a spherical globe inside a cubical box . The diameter of the globe is 30 centimeters . How much empty space

Aneli [31]

Answer:

<h2>The empty inside the box is 12,870 cubic centimeters, approximately.</h2>

Step-by-step explanation:

Givens

The diameter of the globe (sphere) is 30 centimeters,
The box must has dimensions 30x30.

We need to find each volume to subtract them.

$V_{box}=(30cm)^{3}= 27,000 \ cm^{3}$

$V_{sphere}=\frac{4}{3} \pi (15cm)^{3} \approx 14,130 \cm^{3}$

The difference betweem the box and the sphere is

$\Delta V=27,000 - 14,130 = 12,870 \ cm^{3}$

Therefore, the empty inside the box is 12,870 cubic centimeters, approximately.

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2 years ago

How to evaluate the limit

anzhelika [568]

$\displaystyle\lim_{x\to2}\frac{x^2-x+6}{x+2}$

Both the numerator and denominator are continuous at $x=2$ , which means the quotient rule for limits applies:

$\dfrac{\displaystyle\lim_{x\to2}(x^2-x+6)}{\displaystyle\lim_{x\to2}(x+2)}=\dfrac{2^2-2+6}{2+2}=\dfrac84=2$

Perhaps you meant to write that $x\to-2$ instead? In that case, you would have

$\displaystyle\lim_{x\to-2}\frac{x^2-x+6}{x+2}=\lim_{x\to-2}\frac{(x+2)(x-3)}{x+2}=\lim_{x\to-2}(x-3)=-2-3=-5$

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3 years ago

Natalie has 412 apples that she must package into bags. Each bag must hold 8 apples. Natalie divides 412 by 8 and gets an answer

worty [1.4K]

Answer:

Natalie has 4 apples left

Step-by-step explanation:

one bag is 8 apples and only has 4 left so it cant fill another bag let alone 4, so a is out. Natalie has 4 apples, not 4 bags, so there goes B. The only one left is C Natalie has apples left after filling 51 bags.

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2 years ago

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nikklg [1K]

You question implies simple subtraction is needed:

28-8=20

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2 years ago

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kompoz [17]

Answer: 16 ounces : 1 pound

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3 years ago

Read 2 more answers