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hjlf
2 years ago
10

Max and Tyler collected 174 plastic bottles from the playground. Tyler collected twice as

Mathematics
1 answer:
drek231 [11]2 years ago
5 0
The answer is 116.
You would do 174 / 3 since Tyler collect twice as many as max did, to get how much max has, and doubled it by doing 58 x 2
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Please calculate this limit <br>please help me​
Tasya [4]

Answer:

We want to find:

\lim_{n \to \infty} \frac{\sqrt[n]{n!} }{n}

Here we can use Stirling's approximation, which says that for large values of n, we get:

n! = \sqrt{2*\pi*n} *(\frac{n}{e} )^n

Because here we are taking the limit when n tends to infinity, we can use this approximation.

Then we get.

\lim_{n \to \infty} \frac{\sqrt[n]{n!} }{n} = \lim_{n \to \infty} \frac{\sqrt[n]{\sqrt{2*\pi*n} *(\frac{n}{e} )^n} }{n} =  \lim_{n \to \infty} \frac{n}{e*n} *\sqrt[2*n]{2*\pi*n}

Now we can just simplify this, so we get:

\lim_{n \to \infty} \frac{1}{e} *\sqrt[2*n]{2*\pi*n} \\

And we can rewrite it as:

\lim_{n \to \infty} \frac{1}{e} *(2*\pi*n)^{1/2n}

The important part here is the exponent, as n tends to infinite, the exponent tends to zero.

Thus:

\lim_{n \to \infty} \frac{1}{e} *(2*\pi*n)^{1/2n} = \frac{1}{e}*1 = \frac{1}{e}

7 0
3 years ago
Luke subtracted 128° from 180° and found that the measurement of ∠STR is 52°. How can Luke use this information to find the meas
Karolina [17]
STR is a triangle as shown in the picture. If Luke decided to subtract 128º from 180º, that's because he understood that the sum of the internal angles in a triangle is 180º, and therefore the angles RST and TRS together make 128º.
As a result, RST will be
128º - TRS
where TRS is the angle at R, as shown in the picture

6 0
3 years ago
Read 2 more answers
Anyone know how to do this?
IrinaVladis [17]
H(x) = x - 5

However, it had a domain of all real numbers such that x does not equal 3, since that would cause you to divide by 0. 
7 0
2 years ago
Read 2 more answers
PLEASE ANSWER PLEASEE!!!!!!!
Montano1993 [528]

Answer:

they would both be 61°

Step-by-step explanation:

when the angles make out a straight line it equals to 180 and 180 subtracted to 119 comes out to 61 and both b and c are vertical angles which would make them congruent

4 0
2 years ago
Read 2 more answers
. Twelve coworkers go out for lunch together and order three pizzas. Each pizza is cut into eight slices. If each person gets th
fomenos

Answer: each person gets 2 slices of pizza

Step-by-step explanation: 3 pizza 8 slices each pizza 3•8=24 divided by 12=2

7 0
3 years ago
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