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Tatiana [17]
3 years ago
15

Find the product. (3p+2)(5p-7)

Mathematics
2 answers:
ryzh [129]3 years ago
6 0
15p^2-11p-14 is the product
g100num [7]3 years ago
5 0
5p X -29p = - 10 this is your answer 
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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
2(g+5)=-7-4g+g include instructions plz!
Elza [17]
First distribute the 2, then add 7 to that side, so you have 2g+17=-4g+g , subtract 2g and it should be easy to find from there lol
4 0
3 years ago
As a salesperson, Jonathan is paid $50 per week plus 3% of the total amount he sells. This week, he wants to earn at least $100.
Hoochie [10]

Answer:

sorry ima need to use your page

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
X^2+16x+64 can anyone show the work for this and find the factor.
Alexandra [31]

Answer:

should i simplify it? or factorise it?

<u>I</u><u> </u><u>g</u><u>u</u><u>e</u><u>s</u><u>s</u><u> </u><u>i</u><u>t</u><u>s</u><u> </u><u>f</u><u>a</u><u>c</u><u>t</u><u>o</u><u>r</u><u>i</u><u>s</u><u>e</u><u>!</u><u> </u><u>S</u><u>o</u><u> </u><u>i</u><u> </u><u>m</u><u> </u><u>f</u><u>a</u><u>c</u><u>t</u><u>o</u><u>r</u><u>i</u><u>s</u><u>i</u><u>n</u><u>g</u><u>!</u>

x^2+16+64

(x)^2+2×x×8+(8)^2

(x+8)^2

=(x+8)(x+8)

8 0
3 years ago
What is the solution of the equation sqrt 2 x+4-sqrt x=2
ivann1987 [24]
There are 2 answers to this 

x=0 
x=16
3 0
3 years ago
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