Answer:
Shyla's have not done any mistake.
Step-by-step explanation:
We have given that, The explicit rule for the series 0, 1, 2, 3, ... is given by
.
Shyla's attempt to find the fifth term in the sequence is shown below:
i.e. substitute n=5

Looking at the sequence, the 4th number would be 3.
According to explicit rule the fourth term is

Which is correct.
Similarly all the terms will get in this way.
So, Shyla's have not done any mistake.
Answer:
Step-by-step explanation:
The answer is: H equals 3 plus 0.5 D
It's this because the plant grows at 0.5 each day so that would be: 0.5xD or 0.5D and the plant is already 3 so that would make it +3. In all the height would be H = 3 + 0.5D which is indicated in words above.
Answer: x = -1 and y = -2
Step-by-step explanation:
You are given two expressions that have a relationship. There are two ways to solve this problem, but I will be going over the easy way. I'm assuming you know how to solve for one variable such as x? Well we can put the y varaible from the first equation in terms of x, from the second equation. Ill show you what I mean:
6x + 5(7x + 5) = -16
I replaced y in the first one in terms of x, so that we can solve just for x.
6x + 35x + 25 = -16
41x +25 = -16
41x = -41
x = -1
Now simply find y by plugging the now known x value into either equation
y = 7(-1) + 5
y = -2
Original volume = 2.5 million liters.
After evaporation, the remaining volume is 2 million liters, therefore
Evaporated volume = 2.5 - 2 = 0.5 million liters.
Percent of water evaporated = 100*(0.5/2.5) = 20%
Answer: 20%