Answer:

Step-by-step explanation:
According to the problem, the hot-air ballon and the wind are movind in the same direction, which means the component form of the velocity of the ballon is the net vector between both velocities.
Basically, the net velocity is

Because both velocities have the same direction.
Assuming they are moving in a horizontal direction, the component of this velocity is

A1 is the 1st term
r is the difference, they can say "r" or "d" for the difference
1st a1 is the first term = -3
2nd "r" is the difference between each consecutive terms (coming after each other) = 1.5
the rule to get any term of the sequence as we add 1.5 each time is --> a1+(n-1)*d
a1 --> 1st term , n --> order of the term u want whether 2nd, 3rd , 25th
d --> difference
so to get the 2nd--> -3+(2-1)*1.5= -1.5
to get the 3rd --> -3 +(3-1)*1.5 = 0
<span>and so on </span>
Answer:
.
Step-by-step explanation:
We have been given two sets as A: {71,73,79,83,87} B:{57,59,61,67}. We are asked to find the probability that both numbers are prime, if one number is selected at random from set A, and one number is selected at random from set B.
We can see that in set A, there is only one non-prime number that is 87 as it is divisible by 3.
So there are 4 prime number in set A and total numbers are 5.

We can see that in set B, there is only one non-prime number that is 57 as it is divisible by 3.
So there are 3 prime number in set B and total numbers are 4.

Now, we will multiply both probabilities to find the probability that both numbers are prime. We are multiplying probabilities because both events are independent.



Therefore, the probability that both numbers are prime would be
.
Answer:
D, because for every x, the 3 slowly become slower. IF the thing that is being taken to the power of x is less than one it is a decay
3j+2t=14 subtract 2t from both sides
3j=14-2t divide both sides by 3
j=(14-2t)/3
...
5j+6t=28, using j found above in this equation yields.
5(14-2t)/3+6t=28 perform indicated multiplication on left side
(70-10t+18t)/3=28 multiply both sides by 3
70-10t+18t=84 combine like terms on the left side
70+8t=84 subtract 70 from both sides
8t=14 divide both sides by 8
t=$1.75, and since j=(14-2t)/3
j=(14-2(1.75))/3
j=$3.50
So a pound of trail mix costs $1.75 and a pound of jelly beans costs $3.50.