0.53(3) + 5 = <span>6.59
</span><span>6.59 is the answer.
</span>
Hi!
A is the answer:⏬⏬⏬⏬⏬⏬⏬⏬
The distance around a triangle, better noun as de "perimeter of a triangle"
is the total distance around the outside, which can be found by adding together the length of each side.
Perimeter (P) = Length A + Length B + Lenght C
In this case, we know that each side measure 2 \frac{1}{8}81 feet, 3 \frac{1}{2}21 feet, and 2 \frac{1}{2}21feet but we have to rewrite each one of this mixed fractions as improper fractions:
2 \frac{1}{8}81 = \frac{16 + 1}{8}816+1 = \frac{17}{8}817
3 \frac{1}{2}21 = \frac{6 + 1}{2}26+1 = \frac{7}{2}27
2 \frac{1}{2}21 = \frac{4 + 1}{2}24+1 = \frac{5}{2}25
Then we just add all of them to find the perimeter:
 = \frac{17 + 28 + 20}{8}817+28+20 = \frac{65}{8}865
A: The distance around a triangle is \frac{65}{8}865feet
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![= [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=%3D%20%5B1-%281%2F2%29%5E%7B%5Cfrac%7B5.5%7D%7B2.6%7D%7D%5Dx100%20%3D76.922%5C%25)
To be able to determine the number of M&Ms that are needed in order to measure the length of Mississippi River, we convert the units to a common one. For this purpose, we convert kilometers to centimeter such that,
Length of Mississippi River = (4000 km)(1000 m/1 km)(100 cm/1 m)
= 400,000,000 cm
Since there are 400,000,000 cm in the entire length of the river, the answer would also be 400,000,000.