Answer:
5.1 days
Step-by-step explanation:
Given in the question,
initial amount of substance = 34 grams
k-value = 0.137
To find the half life of this substance we will use following formula

here N(0) is initial amount of substance
t is time in days
Plug values in the formula

1/2 = e^{-0.137t}
Take logarithm on both sides
ln(1/2) = ln( e^{-0.137t})
ln(1/2) = -0.137t
t = ln(1/2) / -0.137
t = 5.059
t ≈ 5.1 days (nearest to tenths)
Answer: f(x)= 3/2x-2
Step-by-step explanation:
So if you know how to graph on a calculator and put all the points in, it'll give you all the points plotted and when i did that i got
f(x)= 3/2x-2
You know that BC is congruent to x so you need to solve for x using the ratio:

So then we need to find BC.
We know:


Therefore BC =8
Then:

20
Constant in a mathematical expression is a term whose value never changes.
The terms with x and y will vary based on the variable x and or y.
Answer: x=3 units. Perimeter:22 units
Step-by-step explanation:
P=perimeter
3x-1=2x+2
x-1=2
x=3 units
P=3x-1+2x+2+2x
P=3(3)-1+2(3)+2+2(3)
P=9-1+6+2+6
P=8+8+6
P=22 units