Answer:
4
Step-by-step explanation:
3 + 4(2x - 1) = 23
4(2x - 1) = 20
8x - 4 = 20
8x = 24
x = 3
---------
2(3) - 2
6 - 2
4
My guess is that you're doing the Law of Cosines? You have everything you need for that except the angle theta, which is the thing you need to find. It's set up like this: (8)^2 = (10)^2 + (5)^2 -[2(10)(5)cos A] I used A instead of theta. Doing that math, you have: 64 = 100 + 25 -[ 100 cos A]; 64 = 125 - 100 cos A;
-61 = - 100 cos A; -61 / -100 = cos A; .61 = cos A. Now use your inverse function on your calculator to find cos^-1(.61) and that equals 52.4
Power and chain rule (where the power rule kicks in because
):

Simplify the leading term as

Quotient rule:

Chain rule:


Put everything together and simplify:







Answer:
3.333 hours
Step-by-step explanation:
Given the total distance is 30 miles, and boat 1 travels at 3 mph and boat 2 travels at 6 mph, and the time for both is the same. Distance is speed S times time T so
30 = D(boat 1) + D(boat 2)
30 = (S1 * T) + (S2 * T)
30 = 3T + 6T
30 = 9T
3.333 = T
Answer:
5.8% or 6%
Step-by-step explanation:
6 face cards in a deck minus the red ones so it would be [6-3=3]
52 cards are in a deck and you have 3 black face card so it would be [3/52=0.0576]
Then to get your percentage it would be [0.0576 x 100=5.76%]
5.76 rounded up is 6%