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cluponka [151]
3 years ago
14

How do you evaluate lim(x->0) sin(9x)/6x?

Mathematics
1 answer:
irinina [24]3 years ago
6 0
Hello,
we know that lim sin x /x =1 when x->0

lim sin(9x)/6x=1/6 lim sin (9x)/ x=1/6 lim sin( 9x) /(9x)  *9=9/6=3/2

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PLEASE HELP ASAP !!!!<br><br><br> Explain Larissa's mistake using 1-3 complete sentences.
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Answer:

Line 6

Step-by-step explanation:

The graph intersects at (-5, 16) and (2, 2)

Because she needs to plug the x's back into the equation

so  16 = -2(-5) + 6  or  16 = -5^{2} + -5 - 4

and  2 = -2(2) + 6  or  2 = 2^{2} + 2 - 4

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3 years ago
Which of the following is a figure rotated about in rotational symmetry?
sammy [17]
The answer is C. Mid point
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2(2x - 4) = 4(x - 2)<br> What is the solution
galben [10]

Answer: 0

Step-by-step explanation:

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Hope this helps!

4 0
3 years ago
What is the kinetic energy of an object with a mass of 3 kg that has been in freefall for 22 s?
Volgvan
E=0.5mv^2
That's the formula for kenetic energy. The only unknown we don't have is the velocity. In perticular the final velocity. To find this final velocity we need to use kinematic equations. Since we have the time and I'm also assuming that the initial velocity was zero we're going to use Vf=Vi+at. The acceleration is 9.8m/s^2 because its free fall and we have the time 22s. Vf= 9.8*22=215.6m/s

Now that we have the final velocity plug it in to the kenetic energy formula.
=0.5*3*215.6^2= 69725.04J
5 0
3 years ago
A store finds that the number of shirts sold increases each week. In the first week, only 15 shirts were sold. In the next week,
Pepsi [2]

The explicit rule for the arithmetic sequence is a(n) = 7n + 8 if the arithmetic series is 15, 22, 29,...

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

In the first week, only 15 shirts were sold. In the next week, 22 shirts were sold and in the third week, 29 shirts were sold.

15, 22, 29,...

The first term a = 15

The common difference d = 22 - 15 = 7

a(n) = 15 + (n - 1)7

a(n) = 7n + 8

Thus, the explicit rule for the arithmetic sequence is a(n) = 7n + 8 if the arithmetic series is 15, 22, 29,...

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ1

6 0
2 years ago
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