The first thing you should do is write each speed in vector form.
v1: vector water velocity
v2: vector boat speed with respect to water
writing the vectors we have
v1 = (5 * COS (20 * (PI () / 180)) i) + (5 * SENO (20 * (PI () / 180)) j)
v2 = (30 * COS (30 * (PI () / 180)) i) - (30 * SENO (30 * (PI () / 180)) j)
The vector representing the ship's current motion will be given by the sum of vectors v1 and v2
v1 + v2 = (30.67922522 i) + (15.67922522 j)
Answer:
x=7/3
Step-by-step explanation:
8 ^ (x - 1 ) = 16
We need to rewrite 8 as 2^3 and 16 as 2^4
2^3 ^ (x - 1 ) = 2^4
We know that a^b^c = a^(b*c)
2^(3(x-1)) = 2^4
The bases are the same so the exponents are the same
3(x-1) = 4
Distribute
3x-3 = 4
Add 3 to each side
3x-3+3 = 4+3
3x = 7
Divide by 3
3x/3 = 7/3
x=7/3
Graphing it @ https://www.desmos.com/calculator , we get that f(x) clearly approaches inf at x=10 and a vertical asymptote is clearly 10
7. 233
8. 4
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10. 5
11. 4
12. 7
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