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True [87]
3 years ago
13

If $1000 is divided equally among twelve people, about how much will each person receive?

Mathematics
2 answers:
MissTica3 years ago
6 0
Each person will receive $83 and 33¢ with 4 pennies left over
grigory [225]3 years ago
6 0
Each person would get $83.33
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Find the limit. use l'hospital's rule if appropriate. if there is a more elementary method, consider using it. lim x→1 1 − x + l
AfilCa [17]

\displaystyle\lim_{x\to1}\frac{1-x+\ln x}{1+\cos5\pi x}

Evaluating the limand directly at x=1 gives an indeterminate form \dfrac00. Apply L'Hospital's rule once and we get

\displaystyle\lim_{x\to1}\frac{-1+\frac1x}{-5\pi\sin5\pi x}

Again, plugging in x=1 returns \dfrac00. Apply the rule once more:

\displaystyle\lim_{x\to1}\frac{-\frac1{x^2}}{-25\pi^2\cos5\pi x}=\frac1{25\pi^2}\lim_{x\to1}\frac1{x^2\cos5\pi x}

Now, in the denominator, when x=1 we get x^2\cos5\pi x=-1, so the limit is -\dfrac1{25\pi^2}.

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3 years ago
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Jlenok [28]
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5 0
3 years ago
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What else would need to be congruent to show that ABC=DEF by SAS?
KonstantinChe [14]

Answer:

A

Step-by-step explanation:

SAS = side-angle-side

This means that, in order to prove that the triangles are congruent, they must have two congruent sides with the angle between them to the same.

We know that sides AB, ED, AC, and DF are all congruent as they all have a single mark through them. From this, you can conclude that the triangles already share two sides. All we need now is the angles in between to be congruent. This means that angle A and angle D need to be congruent.

I hope this helps!

7 0
3 years ago
When choosing a new class color, 90 students voted for crimson and 60 voted for royal blue. What percent of these students voted
neonofarm [45]
The percentage of students voted for colour crimson
=
\frac{90}{60 + 90} \times 100\%  \\  =  \frac{90}{150}  \times 100\%\\  =  \frac{9}{15} \times 100\% \\  = 60\%
hope it helps!
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3 years ago
Suppose that the relation H is defined as follows.
9966 [12]
ANSWER:
Domain: {3, 7, 4, a}
Range: {a, b, 4, 0}
3 0
3 years ago
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