Answer:

Step-by-step explanation:
The given function is

Interchange x and y.

Solve for y.

Take logarithm of both sides to base e.

Divide both sides by 2.

Answer:
91
Step-by-step explanation:
p^6×q^12 will have (6+1)(12+1) = 7×13 = 91 positive integer divisors.
Since it is given that the triangle is a right angle, and one of the other angles is 30 degrees, then we know that this triangle is a 30, 60, 90 triangle. In a 30, 60, 90 triangle, the opposite side of the shortest angle is half of the hypotenuse (which is given as 6). So knowing this, the value of y would be D. 3.
Answer:
Step-by-step explanation:
You would never buy a 10-pack, because two 5-packs cost less.
To buy 3 bars you need a single bar and a pair of single bars for £0.82 + £0.82+ £0.41 = £2.05
To buy 30 bars you need 3 pairs of 5-bar packs = 3×£5.75 = £17.25
To buy the remaining 5 bars you need one 5-bar pack = £3
cost = £2.05 + £17.25 + £3 = £22.30