The half life of the substance is 6.92 days.
<h3>What is the Half life ?</h3>
Half life can be defined as the time required to reduce the concentration to half of its initial value.
Here the equation given is
The concentration will reduce to half therefore
so,
ln 0.5 = - 0.1001 * t(1/2)
-0.693 = -.1001 * t(1/2)
t(1/2) = 6.92 days.
Therefore the half life of the substance is 6.92 days.
To know more about Half Life
brainly.com/question/24710827
#SPJ1
Answer:
292 inches^2
Step-by-step explanation:
So to start off this is a picture of the fish tank.
Next we will find the area of the bottom and top rectangles.
The side lenghts for those two is 7 and 8.
So the area of one is 56 and the area of 2 is 112 inches^2.
Now we will find the area of the left and right rectangles.
The side lenghts are 6 and 8.
So the area of 2 is 96 inches^2.
Now for the front and back rectangles.
The side lenghts for those two are 6 and 7.
So the area of both is 84 inches^2.
So after adding all the areas up the surface area is 292 inches^2.
So first, you have to remember the order of operations. That means that whatever is in the parentheses is what has to be done first
However, because one of the numbers in the parentheses is a variable and the other isn't, we can distribute instead
Therefore, 3(12+4x) distributes by multiplying the 3 into both numbers in the parentheses. So we get 36+12x
Now the equation is 20=8+36+12x
Now, bring all numbers without variables on the left side
20-8-36=8-8+36-36+12x
20-8-36=12x
Now simplify
20-8-36=12x
12-36=12x
-24=12x
Divide both sides by 12, and you get x=-2
Hope this helped!!! :D
The correct students about the function are;
B: The function represented by the table has a greater rate of change.
C: The function y = 7x + 8 has the greatest y-intercept.
<h3>How to Interpret the Function Table?</h3>
We are looking at the equation;
y = 7x + 8
The general equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Thus, the slope of the given equation is 7 while the y-intercept is 8.
From the table, the rate of change which is also is simply the slope from the formula;
m = (y₂ - y₁)/(x₂ - x₁)
m = (32 - 16)/(4 - 2)
m = 8
Looking at the given options, only options that are correct are Options B and C.
Read more about Function Table at; brainly.com/question/9404442
#SPJ1
Given :
A function, f(x) = -6 + 12
To Find :
The value of f(x) when x= -3, x= 0 and x=1.
Solution :
Given function is f(x) = -6 + 12 .
Simplifying above function, we get :
f(x) = 6
Now, the given function is independent of x.
So, for any value of x the the value of functions remains constant.
Hence, this is the required solution.
