Answer:
x^7/2187.
Step-by-step explanation:
9x^7/27^=
9x^7/19683 =
x^7/2187 =
x^7/2187.
Answer: 1,045 passengers
Step-by-step explanation:
This question involves multiple steps. Let's first try to figure the number of children on the cruise.
The ratio of girls to the total number of children was 2:5. There are 198 boys.
This information tells me that for every 5 children, there's 2 girls and 3 boys.
Based off of this information, we can divide the total number of boys by 3 in order to find the number of children.
198÷3=66
Let's multiply 66 by 5 since that's the number of groupings based off the ratio.
66×5=330
Let's check the number of children. Since the ratio of girls to total children is 2:5 and we already confirmed there's 198 boys, there should be 132 girls. We can turn this ratio into a fraction where 2/5 of the children are girls. we can confirm this by multiply 330 by 2/5 (0.4) and getting 132.
There are 330 children on the cruise.
The ratio of the number of adults to the number of children was 13:6.
For every 6 children, there were 13 adults. Let's divide the number of children by 6 in order to find the number of groupings.
330÷6=55
Let's now multiply the groupings by 13 to find the number of adults.
55×13=715
So there should be 715 adults and 330 children on the cruise.
715+330=1,045
Answer:
nth term = 523 + 24(n - 1
Step-by-step explanation:
This is modelled by an arithmetic series where first term a1 = 523 and common difference d = 24.
nth term = a1 + d(n - 1).
Here it is 523 + 24(n - 1) (answer)
Answer:
a) "ascend"
Step-by-step explanation:
a)
The equation is 
This question is asking for the value of the directional derivative in the direction of -j [since south that's y negative]
So, this is the negative of partial derivative of y. Thus we have:
Now we are at (100,120,1106), we take y value of 120 and put it in the partial:
We take the negative, that is -(-2.4) = 2.4
Since this is positive, we can say the hill is sloping upward at this point, so you will start to ascend.
Answer:
84
Step-by-step explanation:
4v^2 - m^2
let v=5 and m=-4
4 * (5)^2 - (-4)^2
4* (25) - (16)
100 - 16
84
