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Vikentia [17]
2 years ago
10

Darius had 1/2 an inch of hair cut off. Anna had 3/4 an inch of hair cut off. Penelope had 5/8 an inch of hair cut off. Who had

the most hair cut off?
Mathematics
2 answers:
Anestetic [448]2 years ago
4 0
I don’t know I just need points
Alecsey [184]2 years ago
3 0

Answer:

Anna

Step-by-step explanation:

Convert all fractions so that the denominator is 8.

Darius: 4/8

Anna: 6/8

Penelope: 5/8

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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
= Solving a word problem with two unknowns using a linear... A washer and a dryer cost $650 combined. The washer costs $100 less
nikdorinn [45]

Answer:

Washer 225

Dryer 425

.....

7 0
3 years ago
A piece of paper is 11 inches long and 8.5 inches wide. What is the area of the paper in square centimeters? (Please show work!)
goldenfox [79]
If you would like to know what is the area of the paper in square centimeters, you can calculate this using the following steps:

1 inch equals to 2.54 centimeters.

11 inches = 11 * 2.54 = <span>27.94 centimeters long
8.5 inches = 8.5 * 2.54 = </span><span>21.59 centimeters wide

11 inches long * 8.5 inches wide = 27.94 centimeters long * 21.59 centimeters wide = </span>27.94 * 21.59 = 603.22 square centimeters
<span>
The correct result would be </span>603.22 square centimeters.<span>
</span>
3 0
3 years ago
The price of a gallon of unleaded gas was $2.83 yesterday. Today, the price fell to $2.78 . Find the percentage decrease. Round
avanturin [10]
2.105% is the answer!
8 0
3 years ago
What is the area of the triangle?
Alika [10]

Answer:

15 I think

Step-by-step explanation:

7 0
3 years ago
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