Answer: 1/8
Step-by-step explanation:
Since flipping a coin once and it landing on tails is 1/2, multiply it by however many times you flip it, and that will be you're answer.
By definition, the unit vector of v = (a,b) is

Therefore,
The unit vector of v₁ = (3,5) in the direction of |v₁| s
(3,5)/√[3² + 5²]
= (3,5)/√34
The unit vector of v₂ in the direction of |v₂| is
(-4,7)/√[(-4)² + 7²]
= (-4,7)/√65
Answer:
The unit vector of v₁ in the direction of |v₁} is

The unit vector of v₂ in the directin of |v₂| is
Answer:
15 2/3, or 47/3
Step-by-step explanation:
I'm going to assume, correctly or not, that you actually meant f(x) = 2x^2 - (1/3)x + 5. Double check on this right now, please.
If I'm right, then evaluate f(x) at x = 0 and x = 8:
f(0) = 5
and
f(8) = 2(8)^2 - (1/3)(8) + 5 = 128 - 8/3 + 5 = 133 - (2 2/3), or: 130 1/3
Then the average rate of change of f(x) = 2x^2 - (1/3)x + 5 over the interval [0,8] is:
130 1/3 - 5 125 1/3
a. r. c. = ------------------- = ---------------- = 15 2/3, or 47/3
8 - 0 8
Answer:
Just about 2100 people
Step-by-step explanation:
2 out of 5 is 60% and 7*5 is 35 so if you multiply 7 by 3 then you get 21 and if you multiply that by 100 then you get 2100
2,640 this year
2,112 last year
the 1760 is 20% less than - so 120% of 1760 is the previous year:
1760 * 1.2 = 2112
2112 increased by 25% is a total of 125%:
2112 *1.25 = 2640