Answer:
Option B, x = ![\frac{1 + ln(3)}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%20%2B%20ln%283%29%7D%7B4%7D)
Step-by-step explanation:
e^4x-1 = 3
<u>ln both side</u>
ln(e^4x - 1) = ln(3)
<u>ln(e) = 1</u>
4x - 1 + 1 = ln(3) + 1
4x / 4 = (ln(3) + 1) / 4
x = ![\frac{ln(3) + 1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7Bln%283%29%20%2B%201%7D%7B4%7D)
Answer: Option B, x = ![\frac{1 + ln(3)}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%20%2B%20ln%283%29%7D%7B4%7D)
Answer: It was the “high light” of his career
Answer: x=40, y=70,
Step-by-step explanation:
To find angle x you first need to find O. You do this by subtract <u>180-40.</u> Then you would get <u>140.</u> Take this 140 and subtract it by 180. Your answer for x should be <u>40. </u>
To find angle y you first need to know that <u>x=40</u>. Taking this you would subtract it by <u>180</u>. It would leave you with <u>140</u>. Taking <u>140</u> your going to dive it in half to get y. Your answer for y should be <u>70.</u>
Sorry I'm not sure how to find z.
Answer: Nancy needs 26 minutes to driving to work.
Explanation:
Since we have given that
Time taken in eating breakfast = 10 minutes
Time taken in making her bed = 5 minutes
Let the total time taken by her in doing routine activities be x
Time taken in getting dressed is given by
![\frac{1}{3}x](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dx)
So, According to question,
![\frac{x}{3}+10+5=35\frac{1}{2}\\\\\frac{x}{3}+15=\frac{71}{2}\\\\\frac{x}{3}=\frac{71}{2}-15\\\\\frac{x}{3}=\frac{71-30}{2}=\frac{41}{2}\\\\x=\frac{123}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D%2B10%2B5%3D35%5Cfrac%7B1%7D%7B2%7D%5C%5C%5C%5C%5Cfrac%7Bx%7D%7B3%7D%2B15%3D%5Cfrac%7B71%7D%7B2%7D%5C%5C%5C%5C%5Cfrac%7Bx%7D%7B3%7D%3D%5Cfrac%7B71%7D%7B2%7D-15%5C%5C%5C%5C%5Cfrac%7Bx%7D%7B3%7D%3D%5Cfrac%7B71-30%7D%7B2%7D%3D%5Cfrac%7B41%7D%7B2%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B123%7D%7B2%7D)
Now, we need to find the time taken in driving to work which is given by
![\frac{123}{{2}-\frac{71}{2}=\frac{52}{2}=26\ minutes](https://tex.z-dn.net/?f=%5Cfrac%7B123%7D%7B%7B2%7D-%5Cfrac%7B71%7D%7B2%7D%3D%5Cfrac%7B52%7D%7B2%7D%3D26%5C%20minutes)
Hence, Nancy needs 26 minutes to driving to work.
Answer:
-0.6 yards
Step-by-step explanation: