Answer: 60480
Step-by-step explanation:
Given : The number of empty seats in a theater = 9
The number of customers need to find places to sit =6
Since order matters here, so we use permutations
The permutations of n things taking r at a time is given by :-
Then, the number of ways to arrange 6 seat in 9 seats :-
Hence, the number of ways to arrange 6 seat in 9 seats = 60480
Answer:
Step-by-step explanation:
y = sin(t^2)
y' = 2tcos(t^2)
y'' = 2cos(t^2) - 4t^2sin(t^2)
so the equation become
2cos(t^2) - 4t^2sin(t^2) + p(t)(2tcos(t^2)) + q(t)sin(t^2) = 0
when t=0, above eqution is 2. That is, there does not exist the solution. so y can not be a solution on I containing t=0.
Answer:
XZ=12 in
Step-by-step explanation:
area of a rhombus is A=pq/2
where p=WY=15.5 and A=93 and q=XZ
93=15.5(XZ)/2
93(2)=15.5(XZ)
186/15.5=XZ
XZ=12 in
<em>Answer:</em>
<em />
<em>C.) $6,584.91</em>
<em></em>
<em>Step-by-step explanation:</em>
<em />
<em>Amount earned in compound interest = P(1 + r)^n; </em>
<em>where P is the principal, </em>
<em>r is the rate and n is the number of periods.</em>
<em />
<em>
</em>
<em>Amount = 3,000(1 + 14%)^6 = 3,000(1 + 0.14)^6 = 3,000(1.14)^6 = </em><u><em>$6,584.91</em></u>
Answer:
1_11/20 pounds, or 1.55 pounds.
Step-by-step explanation:
Since at the beginning, he had 5 1/4 pounds and used 3/5, we subtract the amount of pounds. We are then left with 93/20 pounds, which he then splits among 3 containers. Dividing by three, we then get 31/20 pounds in one aquarium, or 1 11/20 pounds in each aquarium or 1.55 pounds.
