Answer:
b is 10 times greater
Step-by-step explanation:
If we multiply the first ratio by 2/2, we get 2/10. Since b=10 and c=1, b is 10 times greater.
Answer: The slope of p is 1/3
Step-by-step explanation:
If the lines are perpendicular, this means they are opposite.
Thus, O is opposite P and since O = -3, P = 1/3
we are given the expression (4e) ^x and is asked to derive the expression. we distribute first the equations resulting to 4^x e^x = y. using the rule of products,
y = 4^x e^xy' = 4^x ln 4 e^x + 4^x e^x
The final answer is y' = 4^x ln 4 e^x + 4^x e^x
10 in; if the original 100% was 5 in, then you multiply that by 2.
Answer:
X = 0, π/2 in the interval [0, 2pi).
Step-by-step explanation:
Use the auxiliary angle method:
R sin(x + a) = Rsin x cos a + Rcos x sin a = 1
sin x + cos x = 1
Comparing coefficients:
R cos a = 1 and R sin a = 1, so
tan a = R sin a / R cos a = 1
So a = π/4 radians.
Also R^2(sin^2 a + cos^2 a) = 1^2 + 1^2 = 2
Therefore R = √2.
So √2 sin (x +π/4 = 1
sin x + π/4 = 1/√2
x + π/4 = π/4
x = 0 radians
Also
x = 0 + π/2 = π/2.
