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melisa1 [442]
3 years ago
6

Needhdjdjdjdjdjdnhiskdjdjdjdjdjdjjshdjdjdjdjdjdjdjd​

Mathematics
1 answer:
Lilit [14]3 years ago
5 0

9514 1404 393

Answer:

  -(√2)/2

Step-by-step explanation:

The expression evaluated at n=a gives the indeterminate form 0/0, so L'Hopital's rule can be used to find the limit. The second expression comes from differentiating numerator and denominator. Then the form with n=a is no longer indeterminate.

  \displaystyle\lim_{n\to a}{\frac{\sqrt{2n}-\sqrt{3n-a}}{\sqrt{n}-\sqrt{a}}}=\lim_{n\to a}{\frac{\frac{2}{2\sqrt{2n}}-\frac{3}{2\sqrt{3n-a}}}{\frac{1}{2\sqrt{n}}-0}}\\\\=\sqrt{a}\left(\frac{2}{\sqrt{2a}}-\frac{3}{\sqrt{3a-a}}}\right)=\boxed{-\frac{1}{\sqrt{2}}}

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Simplify the expression. Write your answer as a power. (−4)^5⋅(−4)^7
vlada-n [284]

Answer:

(-4)^12

Step-by-step explanation:

3 0
2 years ago
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The LCD for the fraction 1/3, 3/4, 5/32, and 8/9 is
timama [110]
D 288 1/3 = 96/288     3/4 = 216/288     5/32 = 45/288      8/9 = 256/288 

1/3 times 96    3/4 times 72     5/32 times 9     8/9 times 32 

Hope This Helped! :3
5 0
3 years ago
Read 2 more answers
2/5 ÷ 22/35 <br>simplify​
Sliva [168]

Answer:

7/11 (Simplified Already)

Step-by-step explanation: 25÷2235=?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

25×3522=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

2×355×22=70110

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 70 and 110 using

GCF(70,110) = 10

70÷10110÷10=711

Therefore:

25÷2235=711

Solution by Formulas

Apply the fractions formula for division, to

25÷2235

and solve

2×355×22

=70110

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(70,110) = 10

70÷10110÷10=711

Therefore:

2/5÷22/35=7/11

6 0
3 years ago
Read 2 more answers
3² • 9³ = [ ]<br>solve ​
RideAnS [48]

Answer:

3⁸ or 6561

Step-by-step explanation:

First, let's look at PEMDAS - Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.

There are no parentheses, so let's solve the exponents.

3² • 9³

3² = 9

9³ = 729

Your expression is:

9 • 729

Now let's multiply.

= 6561

This number can also be expressed with exponents.

Since 9 = 3², 9³ = 3²⁽³⁾

Now your expression is:

3² • 3²⁽³⁾

First, solve the exponents by multiplying.

3² • 3⁶

When you multiply two expressions with exponents that have the same base (3), you add the exponents.

3² • 3⁶ = 3⁽²⁺⁶⁾ = 3⁸

3⁸ also equals  6561.

Your answer is 3⁸ or 6561.

Hope this helps!

4 0
2 years ago
Find the midsegment of the triangle which is parallel to CA.​
Nataliya [291]

Answer:

\pmb{ \pink{QUESTION�}}

Find the midsegment of the triangle which is parallel to CA.

\pmb{ \pink{ANSWER:-}}

Tip

  • A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle.
  • This segment has two special properties. It is always parallel to the third side, and the length of the midsegment is half the length of the third side.
  • If two segments are congruent, then they have the same length or measure.In other words, congruent sides of a triangle have the same length.

\frak{Explanation:-}

We have to find the segment which is parallel to CA.

From the given data,

The segment EG is the midsegment of the triangle\triangle ABC.

So we have,

A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle. This segment has two special properties. It is always parallel to the third side.

\implies\rm{midsegment \:  EG \: parallel \: to \:  CA}

\frak{RainbowSalt}~

6 0
2 years ago
Read 2 more answers
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