Answer:
12,600mg per 21 days
Step-by-step explanation:
200mg three times a day → (200mg)(3) = 600mg per a day
21 days → (21)(600mg) = 12,600mg per 21 days
Answer: c)[50,60]
Step-by-step explanation:
The Empirical rule says that , About 68% of the population lies with the one standard deviation from the mean (For normally distribution).
We are given that , The heights of students in a class are normally distributed with mean 55 inches and standard deviation 5 inches.
Then by Empirical rule, about 68% of the heights of students lies between one standard deviation from mean.
i.e. about 68% of the heights of students lies between 
i.e. about 68% of the heights of students lies between 
Here, 
i.e. The required interval that contains the middle 68% of the heights. = [50,60]
Hence, the correct answer is c) (50,60)
Answer:
See Below
Step-by-step explanation:
The function is a piecewise function defined as:

a)
We need to find the limit of the function as t goes to infinity. This means what is the max value of fish in the pond given times goes to infinity (on an on).
We will take the 2nd part of the equation since t falls into that range, t is infinity, which is definitely greater than 8.

This means the maximum number of fish at this pond is 1600, no matter how long it goes on.
b)
A function is continuous at a point if we have the limit and the functional value at that point same.
Functional value at t = 8 is (we use 2nd part of equation):

We do have a value and limit also goes to this as t approaches 8.
So, function is continuous at t = 8
c)
We want to find is there a "time" when the number of fishes in the pond is 250, during t from 0 to 6. We plug in 250 into N(t) and try to find t. Make sure to use the 1st part of the piece-wise function. Shown below:

The time is 4 years when the number of fishes in the pond is 250
Hello!
This submarine rose 100 feet (+100) and then descended (-100). Usually in an equation this would cancel out and make 0. Therefore, our answer is 0.
I hope this helps!
Answer:
See below in exact form
or
2.42, -12.42 to the nearest hundredth.
Step-by-step explanation:
x^2 + 10x - 13 = 17
(x + 5)^2 - 25 - 13 = 17
(x + 5)^2 = 17 + 38 = 55
x + 5 = +/- √55
x = -5 + √55, -5 - √55.