Answer:
m=0.833333
Step-by-step explanation:
(1/16)−3m+1=64
log((1/16)−3m+1)=log(64)
(Take log of both sides)
(−3m+1)*(log(1/16))=log(64)
−3m+1=log(64)
log(1/16)
−3m+1=−1.5
−3m+1−1=−1.5−1
(Subtract 1 from both sides)
−3m=−2.5
−3m
−3
=
−2.5
−3
(Divide both sides by -3)
Answer:
8.5 inches
Step-by-step explanation:
First let's find the time t when the depth of the snow is 7 inches.
To do this, we just need to use the value of D = 7 then find the value of t:



We want to find the depth of snow one hour from now, so we just need to use the value of t = 3 to calculate D:


The depth of snow one hour from now will be 8.5 inches.
0.77777778 is 7/9 as a decimal
Answer:
Step-by-step explanation:
The distance to the lookout is the sum of distances before and after the rest stop:
... "to" distance = 2 mi + 1 3/4 mi = 3 3/4 mi
The distance from the lookout is 1/2 mile shorter, so is ...
... "from" distance = 3 3/4 mi - 2/4 mi = 3 1/4 mi
Then the total hike is ...
... total distance = "to" distance + "from" distance
... = 3 3/4 mi + 3 1/4 mi = 6 4/4 mi
... total distance = 7 mi
The water each hiker will bring is ...
... (7 mi) × (1/4 gal/mi) = 7/4 gal = 1 3/4 gal
That would be the first choice:
5^0 = 1 , 5^1 = 5, 5^2 = 25 and so on up to 5^4 = 625