The answer to this question is D.
Answer:
80a^9 + 70a^8
Step-by-step explanation:
Use the distributive property and multiply each term in the expression by 10a7
10a7(8a2 + 7a)
80a9+70a8
Answer:
A current of 5 amperes will produce the maximum power.
Step-by-step explanation:
Let be 
, where 
is measured in watts and 
in amperes. At first we must obtain the first and second derivatives of the function to determine the current associated with maximum power. That is:
First derivative
Second derivative
Now, we equalize the first derivative to zero and solve it afterwards: (First Derivative Test)
The only critical point is .
As next step we need to assure that critical point leads to an absolute maximum by evaluating the critical point found above in the second derivative: (Second Derivative Test)
Which indicates that critical point leads to an absolute maximum.
A current of 5 amperes will produce the maximum power.
Answer:
m+2n+2p=16 tokens or m+2(n+p)= 16 tokens
Step-by-step explanation:
First, we must understand how many tokens they have.
Janie played the 3-token game four times, so she used 12 tokens (3n x 4 = 12). Jasmine played the 4-token game five times, so she used 20 tokens (4p x 5 = 20).
Added up, the girls have 32 tokens (12+20 = 32 tokens (t)).
In order to play a round of the three games, 9 tokens are required (m+n+p = 9 / 2+3+4 = 9) by each girl. (32t-18t=14) 14 tokens are left after taking a ride in every game each. 14 left divided by 2 will leave 7 more tokens for each girl. You can split these 7 tokens into an n+p = 7 tokens
Thus,
Each girl can ride as follows:
m+2n+2p=16 tokens or m+2(n+p)= 16 tokens
