Answer:
y = 52
Step-by-step explanation:
For this case we have a function of the form:
y = A * (b)^x
Where,
A: initial population of bacteria
b: growth rate
x: number of hours
Since the diameter is double every hour, then:
We must now look for the value of A.
b = 2
To do this, we evaluate an ordered pair of the graph:
For (1, 2):
2 = A * (2)^1
Clearing A we have:
2 = A * 2
A = 2/2
A = 1
Then, the function is given by:
y = 1 * (2)^x
For after 9 hours we have:
y = 1 * (2)^9
y = 512
I hope this helped. I am sorry if you get this wrong.
Answer:
The measure of arc BC is 96 degrees
Step-by-step explanation:
we know that
The inscribed angle is half that of the arc it comprises.
so
![m\angle BAC=\frac{1}{2}[arc\ BC]](https://tex.z-dn.net/?f=m%5Cangle%20BAC%3D%5Cfrac%7B1%7D%7B2%7D%5Barc%5C%20BC%5D)
we have
![m\angle BAC=48^o](https://tex.z-dn.net/?f=m%5Cangle%20BAC%3D48%5Eo)
substitute
![48^o=\frac{1}{2}[arc\ BC]](https://tex.z-dn.net/?f=48%5Eo%3D%5Cfrac%7B1%7D%7B2%7D%5Barc%5C%20BC%5D)
![arc\ BC=2(48^o)=96^o](https://tex.z-dn.net/?f=arc%5C%20BC%3D2%2848%5Eo%29%3D96%5Eo)
Answer:
-17.3
Step-by-step explanation:
To solve for x, we can divide both sides by -3:
x = -52 / 3 which = -17.3
1/4 is 5oz, so you have 15 oz left
<span>Subtract 3 oz and you have 12/20 oz left </span>
<span>Divide numerator and denominator by gcf WHICH IS 4 </span>
<span>and you'll see that 3/5 is left over.</span>
4/9 because if you change 1/6 to 3/18 by multiplying by 3 you'll get 3/18 then you subtract and 11/18 by 3/18 you get 8/18 and then simplify 8/18 by dividing by 2 you'll get 4/9