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liraira [26]
3 years ago
12

Lim(x-0) of sin3x/sin8x

Mathematics
1 answer:
MrRa [10]3 years ago
7 0
Hello,
$ \lim_{x \to 0} \dfrac{sin(3x)}{sin(8x)} =  \lim_{x \to 0}  \dfrac{3*sin(3x)}{3x} * \dfrac{8x}{8*sin(8x)}=3*1* \frac{1}{8} =\boxed{ \frac{3}{8}}


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find two positive even consecutive integers such that a square of the smaller integer is 10 more than the larger integer
nalin [4]

Answer:

the two positive consecutive integers are 4 and 6.

Step-by-step explanation:

Let the smaller integer be s; then s^2 = (s + 2) + 10.

Simplifying, s^2 - s - 2 - 10 = 0, or

s^2 - s - 12 = 0.

Solve this by factoring:  (s - 4)(s + 3) = 0.

Then s = 4 and s = -3.

If the first even integer is 4, the next is 6.  We omit s = -3 because it's not even.

The smaller integer is 4.  Does this satisfy the equation s^2 = (s + 2) + 10?

4^2 = (4 + 2) + 10  True or False?

16 = 6 + 10 = 16.

True.

So the two positive consecutive integers are 4 and 6.

6 0
4 years ago
Emma decides to invest $990,000 in a period annuity that earns a 2.2% APR,
Pani-rosa [81]

Answer: B) 6462.32

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4 0
3 years ago
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vazorg [7]

Answer:

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Step-by-step explanation:

3 0
3 years ago
Olivia is making chocolate chip pancakes for breakfast. The recipe calls for 0.5 quart of milk and 2.5 cups of flour. When she c
vlada-n [284]

Given:

The recipe calls for 0.5 quart of milk and 2.5 cups of flour.

She has \dfrac{3}{8} quart of milk and \dfrac{18}{8} cups of flour.

To find:

Whether she have the correct amount of milk and flour to make the pancakes from the recipe.

Solution:

Required Milk = 0.5 quart

Milk she has =  \dfrac{3}{8}=0.375 quarts

Clearly, 0.375 < 0.5.

Required Flour = 2.5 cups

Flour she has = \dfrac{18}{8}=2.25 cups

Clearly, 2.25 < 2.5

Since, the amount of milk and flour she has is less than the required amount, therefore she does not have the correct amount of milk and flour to make the pancakes from the recipe

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4 years ago
I need to know the answer
34kurt

Answer:

32 =  - 8u

u =  - 4

4 0
3 years ago
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