Answer:
184
Step-by-step explanation:
convert percentage into decimal:
40% = 40/100 = 0.4
Therefore 40% of 460 = 0.4 x 460 = 184
Answer:
y = (2/3)x + 8
Step-by-step explanation:
Parallel lines have the same slope. In the given equation, the slope is 2/3 so the slope of the parallel line will also be 2/3.
y = (2/3)x + ?
Plug in (-3, 6) for (x, y) in the equation.
6 = (2/3)(-3) + ?
6 = -2 + ?
? = 8
Final equation: y = (2/3)x + 8
67 is the correct answer trust me i just answered and got it correct.
Answer:
-10
-5
5
Step-by-step explanation:
From the answers given, you probably mean f(x) = x^3 + 10x2 – 25x – 250
The Remainder Theorem is going to take a bit to solve.
You have to try the factors of 250. One way to make your life a lot easier is to graph the equation. That will give you the roots.
The graph appears below. Since the y intercept is -250 the graph goes down quite a bit and if you show the y intercept then it will not be easy to see the roots.
However just to get the roots, the graph shows that
x = -10
x = - 5
x = 5
The last answer is the right one. To use the remainder theorem, you could show none of the answers will give 0s except the last one. For example, the second one will give
f((10) = 10^3 + 10*10^2 - 25*10 - 250
f(10) = 1000 + 1000 - 250 - 250
f(10) = 2000 - 500
f(10) = 1500 which is not 0.
==================
f(1) = (1)^3 + 10*(1)^2 - 25(1) - 250
f(1) = 1 + 10 - 25 - 250
f(1) = -264 which again is not zero
This is the formula for the surface area of a cylinder including the ends, like the total surface area of a can of peas.
S = 2·π·r² + 2·π·r · H
Divide each side by 2·π·r :
S/2·π·r = r + H
Subtract r from each side :
H = (S/2·π·r) - r
or
H = (S - 2·π·r²) / (2·π·r)