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Tatiana [17]
3 years ago
8

A paper cup holds a volume of 6 fluid ounces. Is the volume of 6 paper cups greater than 5 cups?

Mathematics
1 answer:
joja [24]3 years ago
4 0

Answer:

No

Step-by-step explanation

8 oz per cup meaning 40oz in 5 paper cups

6 oz per paper cup meaning 36 oz in 6 paper cups

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1. To convert cubic inches to cubic feet we divide the figure by 1728 (there are 1728 cubic inches in a cubic foot).

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Which of the following represents the zeros of f(x) = x3 − 3x2 − 2x + 6?
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D. {3, √ 2, -√ 2}. 
<span>The cubic factors- (x - 3)(x² - 2) = 0.</span>
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Maria divides 2015 by 1. Then she divides 2015 by 2 and then in order by 3, 4 etc. up to and including 1000. For each division s
9966 [12]

The biggest remainder obtained by dividing 2015 by either 1, 2, 3,

4,...,1000 is the option;

(C) 671

<h3>How can the biggest remainder be found?</h3>

The given number Maria divides is 2015

The divisors = 1, 2, 3, 4,..., 1000

Required:

The biggest remainder Maria noted down.

Solution:

From remainder theorem, we have;

p(x) = (x - a) × q·(x) + r(x)

Where;

r(x) = The remainder

q(x) = The quotient

(x - a) = The devisor

Which gives;

\dfrac{r(x) }{(x - a)}  = \dfrac{p(x) }{(x - a)} -\dfrac{(x - a) \times q(x) }{(x - a)} = \mathbf{ \dfrac{p(x) }{(x - a)} -q(x)}

Therefore;

r(x) = \mathbf{\left(\dfrac{p(x) }{(x - a)} -q(x) \right) \times (x - a)}

The remainder is largest when both  \left(\dfrac{p(x) }{(x - a)} -q(x) \right) and (x - a) are large

\left(\dfrac{p(x) }{(x - a)} -q(x) \right) is largest when the quotient changes to the next lower

digit and the divisor is not a factor.

By using MS Excel, we have, at 672, the remainder is found as follows;

r(x) = \left(\dfrac{2015}{672} -2\right) \times (672) = 671

At 672,  \left(\dfrac{p(x) }{(x - a)} -q(x) \right) ≈ 0.999, which when multiplied by 672, gives

the biggest remainder of 671, which is the biggest remainder.

  • The biggest remainder obtained by dividing 2015 by either 1, 2, 3, 4,...,1000 is <u>(C) 671</u>

Learn more about the remainder theorem here:

brainly.com/question/3283462

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