Answer:
6.84 ≤ x ≤ 37.39
Step-by-step explanation:
we have
-----> equation A
we know that
The company wants to keep its profits at or above $225,000,
so
-----> inequality B
Remember that P(x) is in thousands of dollars
Solve the system by graphing
using a graphing tool
The solution is the interval [6.78,39.22]
see the attached figure
therefore
A reasonable constraint for the model is
6.84 ≤ x ≤ 37.39
Answer:
-11
Step-by-step explanation:
First we plug -2 in for c
4(-2)-3=-8-3=-11
For this case we have a function of the form:
![y = A * (b) ^ x](https://tex.z-dn.net/?f=%20y%20%3D%20A%20%2A%20%28b%29%20%5E%20x%20%20)
Where,
A: initial population of bacteria
b: growth rate
x: number of hours
Since the diameter is double every hour, then:
![b = 2](https://tex.z-dn.net/?f=%20b%20%3D%202%20%20)
We must now look for the value of A.
To do this, we evaluate an ordered pair of the graph:
For (1, 2):
![2 = A * (2) ^ 1](https://tex.z-dn.net/?f=%202%20%3D%20A%20%2A%20%282%29%20%5E%201%20%20)
Clearing A we have:
![2 = A * 2](https://tex.z-dn.net/?f=%202%20%3D%20A%20%2A%202%20%20)
![A = \frac{2}{2}\\A = 1](https://tex.z-dn.net/?f=%20A%20%3D%20%5Cfrac%7B2%7D%7B2%7D%5C%5CA%20%3D%201%20%20%20)
Then, the function is given by:
![y = 1 * (2) ^ x](https://tex.z-dn.net/?f=%20y%20%3D%201%20%2A%20%282%29%20%5E%20x%20%20)
For after 9 hours we have:
![y = 1 * (2) ^ 9\\y = 512](https://tex.z-dn.net/?f=%20y%20%3D%201%20%2A%20%282%29%20%5E%209%5C%5Cy%20%3D%20512%20%20)
Answer:
the diameter of the bacteria after 9 hours is:
![y = 512](https://tex.z-dn.net/?f=%20y%20%3D%20512%20)
Answer:
12
Step-by-step explanation:
we use Pythagoras law
√13^2-5^2
Answer:
0.14
Step-by-step explanation:
The way to solve this problem is to add everything together. 20+60 is 80, and there are two 30 gram slices of bread (30 x 2 = 60) so you add the 80 from before to the two slices of bread, which is 80 + 60, and that equals 140 grams total. Since there are 1000 grams in 1 kilogram, you have to divide this by 1000, giving you 0.14 or 14/1000.