Answer:
60 different ways.
Step-by-step explanation:
We have been given that you have 5 reindeer, Bloopin, Rudy, Ezekiel, Prancer, and Balthazar, and you want to have 3 fly your sleigh. You always have your reindeer fly in a single-file line. We are asked to find the number of ways in which we can arrange reindeer.
We will use permutations to solve our given problem.
The number of way to choose r objects from a set of n objects is 
.
Upon substituting our given values in permutations formula, we will get:
Therefore, you can arrange your reindeer in 60 different ways.
Answer:
The following system of equation has no solution.
Step-by-step explanation:
since both of them are equal to y, set them equal to each other:
3x+1=3x+7
if you subtract both sides by 3x, you get 1=7. That is a contradiction, so this has no solutions.
Answer:
The answer is 3 (13/12)
Step-by-step explanation:
Cosine is the inverse of Secant. Cosine is adj/hyp and Secant is hyp/adj. Cos(B) is 12/13 so Sec(B) is 13/12
Answer:
For any exponential function in which the base is less than 1, it will be an exponential decay situation. In this problem, the base is 0.97. The amount that the base is less than 1 ( i.e. 1 - base) represents, in decimal form, the percent of decrease, which in this case is 0.03 or 3%.
Step-by-step explanation:
The formula for exponential decay is y=a(1-r)x.
r is the decay rate.
Answer:
x > -1
Step-by-step explanation:
-10 < x - 9
Add 9 to each side
-10+9 < x - 9+9
-1 < x
x > -1
