Expand and simplify (× + 1)(×^2 + 2× +3)
1 answer:
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Let be the unknown number. So, three times that number means
, and the square of the number is
We have to sum 528 and three times the number, so we have
Then, we have to subtract this number from , so we have
The result is 120, so the equation is
This is a quadratic equation, i.e. an equation like . These equation can be solved - assuming they have a solution - with the following formula
If you plug the values from your equation, you have
So, the two solutions would be
But we know that x is positive, so we only accept the solution
Answer:
% Remaining
And replacing the value t =5.5 hours we got:
% Remaining
Step-by-step explanation:
Previous concepts
The half-life is defined "as the amount of time it takes a given quantity to decrease to half of its initial value. The term is most commonly used in relation to atoms undergoing radioactive decay, but can be used to describe other types of decay, whether exponential or not".
Solution to the problem
The half life model is given by the following expression:
Where A(t) represent the amount after t hours.
represent the initial amount
t the number of hours
h=2.6 hours the half life
And we want to estimate the % after 5.5 hours. On this case we can begin finding the amount after 5.5 hours like this:
Now in order to find the percentage relative to the initial amount w can use the definition of relative change like this:
% Remaining =
We can take common factor and we got:
% Remaining
And replacing the value t =5.5 hours we got:
% Remaining