It would be 12% because .3 divided by 2.5 is .12 which is equivalent to 12%
Answer:
The circumference of the horse pin is 150.86 feet
Step-by-step explanation:
In this question, we are to calculate the circumference of the horse pin, given that the diameter is 48 feet.
Mathematically, the circumference can be calculated using the formula
C = 2 * pi * r
where r = D/2 = 48/2 = 24 feet
The circumference C is thus = 2 * 22/7 * 24 = 1056/7 = 150.86 feet
<span>N(t) = 16t ; Distance north of spot at time t for the liner.
W(t) = 14(t-1); Distance west of spot at time t for the tanker.
d(t) = sqrt(N(t)^2 + W(t)^2) ; Distance between both ships at time t.
Let's create a function to express the distance north of the spot that the luxury liner is at time t. We will use the value t as representing "the number of hours since 2 p.m." Since the liner was there at exactly 2 p.m. and is traveling 16 kph, the function is
N(t) = 16t
Now let's create the same function for how far west the tanker is from the spot. Since the tanker was there at 3 p.m. (t = 1 by the definition above), the function is slightly more complicated, and is
W(t) = 14(t-1)
The distance between the 2 ships is easy. Just use the pythagorean theorem. So
d(t) = sqrt(N(t)^2 + W(t)^2)
If you want the function for d() to be expanded, just substitute the other functions, so
d(t) = sqrt((16t)^2 + (14(t-1))^2)
d(t) = sqrt(256t^2 + (14t-14)^2)
d(t) = sqrt(256t^2 + (196t^2 - 392t + 196) )
d(t) = sqrt(452t^2 - 392t + 196)</span>
Separating variables, we have
Integrate both sides.
Given that 
, we find
Then the particular solution is
and because , we take the negative solution to accommodate this initial value.
Answer:
J: 2/45
Step-by-step explanation:
You multiply the probabilities together then simplify
2/15 x 5/15
to get 10/225
simplify to get your answer of 2/45
