Answer:
True
Step-by-step explanation:
5 X 5 X 5 = 125 because 5 X 5 would be 25. And 25 X 5 would be 125.
The answer is 3 because 12-9=3
Answer:
the equation should be corrected to fit the data of the problem. With the corrected equation a mass of 0.5 grams remains after 150 years
Step-by-step explanation:
for the mass y( in grams)
y=23* (1/2)^(t/45), t ≥ 0.
the initial mass is at t=0 , then
y= 23 grams → should be 16 grams
half-life from the equation = 45 years → should be 30 years
the correct equation should be
y=16*(1/2)^(t/30), t ≥ 0
then after 150 years → t= 150
y=16*(1/2)^(150/30)= 16*(1/2)^5 = 16/32 = 0.5 grams
then a mass of 0.5 grams remains after 150 years
5-3^x = -40
subtract 5 from each side to get
-3^x=-45
divide both sides by -1 to make them positive
3^x = 45
need to do the natural logarithm on both sides to remove the variable from the exponent
so ln(3^x) = ln(45)
use logarithm rule to move x out
x ln (3) = ln(45)
dive each term by ln(3) then simplify to get
ln(3)/ln(45)
so x = ln(3)/ln(45) which calculates out to 3.46497352
round off to ten thousandths is 3.4650
