The function given is a composite function. Let's work from the outside in:
First step:
![\frac{d}{dx}[y]= \frac{d}{dx}[ln(sinh(2x))]](https://tex.z-dn.net/?f=%20%5Cfrac%7Bd%7D%7Bdx%7D%5By%5D%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bln%28sinh%282x%29%29%5D)
Now, let's work it out:
![\frac{dy}{dx} = \frac{1}{sinh(2x) } * \frac{d}{dx}[sinh(2x)]](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%20%5Cfrac%7B1%7D%7Bsinh%282x%29%20%7D%20%2A%20%20%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bsinh%282x%29%5D)
Next step:
![\frac{dy}{dx} = \frac{1}{sinh(2x) } * cosh(2x) * \frac{d}{dx}[2x]](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%20%5Cfrac%7B1%7D%7Bsinh%282x%29%20%7D%20%2A%20cosh%282x%29%20%2A%20%20%5Cfrac%7Bd%7D%7Bdx%7D%5B2x%5D%20)
Next step:
Simplify:
Simplify further:
Remember that:
So,
your final answer is:
So, your answer is
C. Hope I could help you!
Answer:
after 42 mm the next one is 63mm and after 198mm it is 946mm
Step-by-step explanation:
So to do this, you would use the formula:
Number of favorable outcomes
________________________
Total number of outcomes.
In the first question you are asked: Probability of an even number being spun. We can see that there are 4 even numbers, which is our favorable outcome and that over the number of outcomes, which is 8, would be 4/8 = 0.5 or 50%. Therefore the answer to #1 is 0.5 as a decimal or 50% as a percent. (Do it the way the directions tell you to).
In the second question you are asked the probability to spin a number greater than 3. This does not include 3, so you have 4, 5, 6, 7, and 8. That is 5 numbers. 5 numbers divided by the total number of outcomes is 5/8, which is equal to 0.625, or 62.5%. Therefore the answer to #2 is 0.625 as a decimal or 62.5% as a percent.
The third question asks for the probability that an odd number would be spun. We can see the odd numbers are: 1,3,5,7. This is 4 favorable outcomes divided by 8, the total number of outcomes. 4/8 is equal to 0.5 or 50%. Therefore the answer to #3 is 50% as a percent or 0.5 as decimal.
Hope this helps. Please rate, leave a thanks, and mark a brainliest answer. (Not necessarily mine). Thanks, it really helps!
Answer:
p = 35
Step-by-step explanation:
Complementary angles sum to 90°
Sum the 2 given angles and equate to 90, that is
20 + 2p = 90 ( subtract 20 from both sides )
2p = 70 ( divide both sides by 2 )
p = 35
Answer:
you know you really need to watch what you say that comes out of your mouth
