If 3/5 of the tree is unripe, then 2/5 of the tree is ripe.
2/5 = 0.4
0.4 x 100 = 40% of the tree is ripe
Answer:
$5
Step-by-step explanation:
medium popcorn- 2x
total - $23
large- 2x+3
23=4x+3
20=4x
x=5
You can either use the inverse function theorem or compute the general derivative using implicit differentiation. The first method is slightly faster.
The IFT goes like this: if f(x) is invertible and f(a) = b, then finv(b) = a (where "finv" means "inverse of f").
By definition of inverse functions, we have
f(finv(x)) = finv(f(x)) = x
Differentiating both sides of the second equality with respect to x using the chain rule gives
finv'(f(x)) * f'(x) = 1
When x = a, we get
finv'(b) * f'(a) = 1
or
finv'(b) = 1/f'(a)
Now let f(x) = sin(x), which is invertible over the interval -π/2 ≤ x ≤ π/2. In the interval, we have sin(x) = √3/2 when x = π/3. We also have f'(x) = cos(x).
So we take a = π/3 and b = √3/2. Then
arcsin'(√3/2) = 1/cos(π/3) = 1/(1/2) = 2
Answer:
The line has a slope of -1.
Step-by-step explanation:
To solve for the slope of the line, use the rise over run formula. The rise over run formula is a measure of how much something changes vertically compared to how much it changes in the horizontal direction. The rise over run formula calculates the difference between the two points in the vertical direction (rise) and then divide it by the difference in the horizontal direction (run). The formula looks like 
, but in terms of finding a slope, it looks like 
.
For finding the slope of this line with the points (-3,5) and (5,-3), start by writing down the information given from the question.
Next, plug in the information given from the question into the formula, and the formula will look like 
. Then, simplify the equation, which will look like 
. The final answer will be -1.
