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grin007 [14]
3 years ago
11

The variables x and y vary directly. Use the given values to write an equation that relates

Mathematics
1 answer:
faust18 [17]3 years ago
6 0

Answer:

the 3rd

Step-by-step explanation:

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Show that sec^2x+csc^2x/sec^2xcsc^2x
professor190 [17]

Answer:

\frac{1}{csc^{2}(x)}+\frac{1}{sec^{2}(x)}

Step-by-step explanation:

The image below shows step-by-step on how to solve it.

<em>Hope this helps! </em>:)

4 0
3 years ago
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
What symbol makes the comparison true
olga_2 [115]
Depend on the comparison. if u want to see greater or less then use = < > or the difrent subtract . add if finding the total.
3 0
2 years ago
Nelson needs 3 and 3/4 cups of flour to make a loaf of bread and 2 and 2/3 cups of flour to make pretzels. How many cups of flou
matrenka [14]

Answer:

that is 6 and 5/ 12 cups of flour are required

Step-by-step explanation:

total number of cups required to make a loaf of bread

= 3 + ¾

making their denominators equal and that to 4

= 12/ 4 + 3/ 4

adding numerators

= (12 + 3)/ 4

= 15/ 4

total cups of flour required to make pretzels

= 2 + ⅔

making their denominators equal and that to 3

= 6/ 3 + 2/ 3

adding nunerators

= (6 + 2)/ 3

= 8/ 3

Total cups required:-

= 15/ 4 + 8/ 3

taking lcm of denominators to make the fractions equivalent

= {(15 × 3) + (8 × 4)}/ 12

= {45 + 32}/ 12

= 77/ 12

6 \frac{5}{ 12}

<em>that is 6 and 5/ 12 cups of flour are required</em>.

4 0
3 years ago
Read 2 more answers
2
yawa3891 [41]

Answer:

a

Step-by-step explanation:

5 0
2 years ago
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