C. dispute the valuation if he or she disagrees with it.
Total brownies: 50
Ava : 0.14 of brownies
Grace : 4 of the 50 brownies
Jayden : 24% of the brownies
Zoe: remaining
50 - (50 x 0.14) - 4 - (50 x 24%) = 50 - 7 - 4 - 12 = 50 - 23 = 27
Zoe stacked the most brownies. She stacked 27 brownies out of the 50 brownies.
So first you take the words and put them into an equation. "a number" that never gets directly told to you will always be a variable, which is easiest to make X. "The sum of a number and 8" will mean that 8+something is the sum so they have to go in parenthesis... giving you
4/3*(x+8)=24
now just solve for X, remembering to use the reverse of PEMDAS, since you're solving for the variable.
remove what is furthest away to the X first.
x+8=24*3/4
x+8=18
x=18-8
x=10
Now, remember to always go through and replace your variable with its value and solve. if it is not equal on both sides, retry the problem because you may have missed a small +, -, or * somewhere!
Hope this helped:)
Let
, so that



Then the integral transforms to


Integrate by parts, taking


For 0 < y < 1, we have |1 - y²| = 1 - y², so

It's easy to show that uv approaches 0 as y approaches either 0 or 1, so we just have

Recall the Taylor series for ln(1 + y),

Replacing y with -y² gives the Taylor series

and replacing ln(1 - y²) in the integral with its series representation gives

Interchanging the integral and sum (see Fubini's theorem) gives

Compute the integral:

and we recognize the famous sum (see Basel's problem),

So, the value of our integral is

Answer:
y=-3/2x+3
Step-by-step explanation:
The slope is rise over run. It rises 3 and goes back -2 so the slope is -3/2 and it crosses the y-axis at 3 so the y-intercept is 3. The slope equation is y=mx+b.