Answer:
9.16
Step-by-step explanation:
You have to make 1% into a fraction, which is 0.01. and then you just multiply 0.01 times 916.
You would plug in 40 for x making the equation 12.5(40) and the answer would be $500
Answer:
The correct option is y ≤1/3 x – 4
Step-by-step explanation:
If you look at the attached graph you will see that the inequality is the shaded area below the solid line.
The slope of the line is positive which is 1/3.
The y intercept is equal to -4
Thus the inequality must be:
y ≤1/3 x – 4
Therefore the correct option is:
y ≤1/3 x – 4 ....
Answer:
(e) csc x − cot x − ln(1 + cos x) + C
(c) 0
Step-by-step explanation:
(e) ∫ (1 + sin x) / (1 + cos x) dx
Split the integral.
∫ 1 / (1 + cos x) dx + ∫ sin x / (1 + cos x) dx
Multiply top and bottom of first integral by the conjugate, 1 − cos x.
∫ (1 − cos x) / (1 − cos²x) dx + ∫ sin x / (1 + cos x) dx
Pythagorean identity.
∫ (1 − cos x) / (sin²x) dx + ∫ sin x / (1 + cos x) dx
Divide.
∫ (csc²x − cot x csc x) dx + ∫ sin x / (1 + cos x) dx
Integrate.
csc x − cot x − ln(1 + cos x) + C
(c) ∫₋₇⁷ erf(x) dx
= ∫₋₇⁰ erf(x) dx + ∫₀⁷ erf(x) dx
The error function is odd (erf(-x) = -erf(x)), so:
= -∫₀⁷ erf(x) dx + ∫₀⁷ erf(x) dx
= 0
For the same numerator, bigger denominators mean smaller fractions (if everything's positive). 2/3 is bigger than all the other ones , which are 1/2 or less.
Answer: 2/3, 1/2, 1/4, 1/5, 1/6