Answer:
10 percent
Step-by-step explanation:
The "distance formula" an extension of the Pythagorean Theorem is:
d^2=(x2-x1)^2+(y2-y1)^2 in this case:
d^2=(-8-7)^2+(-9--1)^2
d^2=(-15)^2+(-8)^2
d^2=15^2+8^2
d=√(15^2+8^2)
So the answer is 15^2+8^2
Answer:
Wavelength
Step-by-step explanation:
The picture below is an example of a wavelength which is very similar.
a. By the chain rule,
h'(x) = f'(g(x)) * g'(x)
h'(1) = f'(g(1)) * g'(1) = f'(1) * 1 = 3
b. I suspect there's a typo here somewhere, but if you really mean j(x) = f(x), and you're only supposed to find j(1), then
j(1) = f(1) = 2
Possibly you're supposed to instead find j'(1), in which case
j'(1) = f'(1) = 3
Or maybe j is defined like
j(x) = 1/f(x)
in which case the chain rule gives
j'(x) = -f'(x)/f(x)^2
j'(1) = -f'(1)/f(1)^2 = -3/2^2 = -3/4
c. By the chain rule,
k'(x) = g'(x)/g(x)
k'(1) = g'(1)/g(1) = 5/1 = 5
Answer: Andre picked 252 pounds of apples
Step-by-step explanation:
Let x = number of pounds of apple picked by Jane.
Let y = number of pounds of apple picked by Andre
Let z = number of pounds of apple picked by Maria
Andre picks three times as many pounds as maria. It means that
y = 3z
Jane picks two times as many pounds as Andre. It means that
x = 2y
The total weight of the apples is 840 pounds. It means that
x + y + z = 840 - - - - - - - - - 1
We will substitute z = y/3 and x = 2y into equation 1
2y + y + y/3 = 840
Cross multiplying with 3
6y + 3y + y = 2520
10y = 2520
y = 2520/10 = 252
x = 2y = 252× 2 = 504
z = y/3 = 252/3 = 84
