Answer:
% Remaining![= [1-(1/2)^{\frac{t}{2.6}}]x100](https://tex.z-dn.net/?f=%20%3D%20%5B1-%281%2F2%29%5E%7B%5Cfrac%7Bt%7D%7B2.6%7D%7D%5Dx100%20)
And replacing the value t =5.5 hours we got:
% Remaining![= [1-(1/2)^{\frac{5.5}{2.6}}]x100 =76.922\%](https://tex.z-dn.net/?f=%20%3D%20%5B1-%281%2F2%29%5E%7B%5Cfrac%7B5.5%7D%7B2.6%7D%7D%5Dx100%20%3D76.922%5C%25)
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 ![= [1-(1/2)^{\frac{5.5}{2.6}}]x100 =76.922\%](https://tex.z-dn.net/?f=%3D%20%5B1-%281%2F2%29%5E%7B%5Cfrac%7B5.5%7D%7B2.6%7D%7D%5Dx100%20%3D76.922%5C%25)
X intercept is when y = 0
3x -15(0) = 60
3x = 60
x = 20
y intercept is when x=0
3(0) -15y = 60
-15y = 60
y = -4
Answer is C
Hi!
<h3>Use the distribution property</h3>
1.4t — 0.4 * t - 0.4 * —3.1 = 5.8
1.4t — 0.4t - 1.24 = 5.8
<h3>Simplify</h3>
1t - 1.24 = 5.8
<h3>Add 1.24 to both sides</h3>
1t - 1.24 + 1.24 = 5.8 + 1.24
1t = 7.04
<u>t = 7.04</u>
<h2>The answer is t = 7.04</h2>
Hope this helps! :)
-Peredhel
Hello!
First off, (-inf, -2) was half of the domain, so you were right on track, but almost there!
Since this function has a vertical asymptote at x = -2, any x-values that are equal to -2 cause the function to be undefined. So, we show that as (-∞, -2) because this function is a continuous function from that interval.
Since this function is also continuous from the interval -2 to ∞, we show that as the second part of our domain; written as (-2, ∞).
Remember that parentheses and brackets have different meanings when using them to state the domain/range of a function. Parentheses are used to <u>not</u> include that value, while brackets are used <u>to</u> include it.
In that case, we need to combine this two intervals using the "union" symbol, which is "U".
Therefore, the domain of the function is (-∞, -2) U (-2, ∞).
The Area of a Triangle is 0.5 x Base x Height. The area of one mosaic triangle = 0.5 x 3 x 5 = 7.5. The area of the whole mosaic is : 7.5 x 200 = 1500cm^2. You're welcome.
