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Varvara68 [4.7K]
1 year ago
7

2^2x = 2^3 ,what is the value of x?

Mathematics
1 answer:
Firdavs [7]1 year ago
6 0

Answer:

x =  \frac{3}{2}

Step-by-step explanation:

{2}^{2x}  =  {2}^{3 }  \\ 2x = 3 \\ x =  \frac{3}{2}

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Katyanochek1 [597]

Write tan in terms of sin and cos.

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\displaystyle \lim_{x\to0}\frac{\sin(x)}x = 1

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\displaystyle \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)} = \lim_{t\to0} \frac{\sin(6t)}{6t} \times \frac{2t}{\sin(2t)} \times \frac{6t}{2t\cos(6t)} \\\\ = \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right)

Then using the known limit above, it follows that

\displaystyle \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right) = 1 \times 1 \times \frac3{\cos(0)} = \boxed{3}

4 0
1 year ago
Kevin plans to watch 3 movies each month. Write an equation to represent the total number of movies n that he will watch in m mo
GREYUIT [131]

Answer:

Step-by-step explanation:

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6 0
3 years ago
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Sauron [17]

Answer:

B

Step-by-step explanation:

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Step-by-step explanation:

use SOCATOA

or an online calculator

https://www.calculator.net/triangle-calculator.html?vc=x&vx=z&vy=y&va=39&vz=125&vb=90&angleunits=d&x=59&y=16

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2 years ago
The graph of a linear function passes through the point (1, 1) and has a slope of -3. What is the equation of the function in sl
Zigmanuir [339]
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