Using log3(5) = x, which expression is equivalent to log9(0.6)? (first number beside log is the base)
A) 1/2 - x
B) 1/2 - x/2
C)2 - x
D) 2 - 2x
*The answer is B, but could someone explain to me how
3cos(x)=5-3cos(x) = 5
Divide by 3:
cos(x) = 5/3
Use arccos to solve:
x = arccos(5/3), which isnt possible, so there is no solution.-there is no real value of x so that 3cosx = 5
3cosx = 5
cosx =
A recent survey showed that in a sample of 100 elementary school teachers, 15 were single. In a sample of 180
high school teachers, 36 were single. Is the proportion of high school teachers who were s
1--A piece of rope 60 m long is cut into two pieces so that the longest piece is twice the length of the shorter. How long are the two pieces.
2--Mario is 18 years older than Joshua. If the sum of th
I had to show that the angle between the planes is approx 43 degrees. The two vectors is and using the cos theta = (a dot b) / (|a||b|) theta was approx 136. I subtracted 180 and got -43. Does that
A company establishes a fund of $120,000 from which it wants to pay an amount C to any of its 20 employees who achieve a high performance level during the coming year. Each employee has a 2% chance of
1/(e^x+4e^-x)using the substitution u=e^x. I got 1/4e^x - e^-x + c ,
however the answers in my textbook say 1/2tan^-1(1/2e^x + c).
Thanks in advance for your time and help-Let u = e^x, du = e^x dx =
Im posting this math problem for a friend. She is having trouble solving this. It says that a race cars velocity increases from 4 meters per second to 36 meters per second in 4 seconds. She found acce
1. Short Answer. State the degree of the given polynomial:
-6x6 + 5x5 + 9x3 – 2
8. Essay question: show all work.Suzie’s flower shop estimates that supplies costs for one month will be given by the
I have a list of five words. They are PINT, RATE, TURN, NEST and WIND. One of these words is the magic word. Your task is to figure it out. Here is your clue: if I tell you any one letter in the magic
A and B are independent events. Find The missing probability.
P(A) = 3/7, P (A and B)= 1/3. Find P (B-since A & B are independent events,
P(A & B) = P(A).P(B)
P(B) = P(A & B)/P(A) = (1/3) /(3/7) =
Any help is appreciated, thanks.-A d2y/dt2 = -B/y^2
d2y/dt2 = -B/Ay^2
Multiply both sides by 2dy/dt
2(dy/dt)(d2y/dt2) = -2B (dy/dt) /Ay^2
Integrate both sides with respect to t:
(dy/dt)^2 = 2B/Ay
Got stuck trying to figure out this proof.
Got here:
sin(x)cos(x) ÷ x
Trying to get here:
cos(x)
If I divided both sides by (sin(x)÷x) then wont it turn cos(x) into x*cot(x)? I dont know what to
Prove the following identity for the Fresnel integrals:
lim ∫ sin(x²) dx = lim ∫ cos(x²) dx = sqrt(2π) /4
when R → ∞
where both integrals goes from 0 to R
Hint:
Integrate the function f(z) = e^(-z²)
