3.6 / 1.2 = 3.0
and
10^8 / 10^3 = 10^5
Answer is 3.0 * 10^5
Answer:
V = πr²h
S=2πrh
h= 2/3 millimeters
new height= 8/3 millimeters
S= 8π millimeters square
New surface area = 32π millimeters square
Step-by-step explanation:
The volume of the cylinder is given by V = πr²h where r is the radius and h is the height.
The surface area of the cylinder is given by S= 2πrh + 2πr²
Where πr² gives the area of the base and 2πr² gives the area of the top and bottom surfaces. The surface area S of a cylinder, not including the top and bottom of the cylinder, is therefore S=2πrh.
V = πr²h
96π= π (6*6) (h+2)
96 = 36 (h+2)
96/36= h+2
h= 96/36-2
h= 96-72/36
h= 24/36
h= 4/6
h= 2/3 millimeters
New height
h + 2= 2/3 + 2
= 2+6/3= 8/3 millimeters
Now S =2πrh
S = 2π(6) (2/3)
S= 8π millimeters square
New Surface area
S = 2π(6) (8/3)
S= 32π millimeters square
Remember that the general decay equation is:
where
is the amount after a time
is the initial amount
is the the decay percent in decimal form
The first ting we are going to do is find
by dividing our <span>decay rate of 25% by 100%: </span>
.
We also know from our problem that
. Lets replace
and
in our formula:
We know now that our decay rate is 0.75, and since 0.75<1, we can conclude that
this situation represents exponential decay.
Now, to find the initial amount, we are going to solve our equation for
:
Notice that
will depend on the number of ours
. <span />
Answer: 4.8 ft
To answer this question you need to know how much shadow: actual height ratio. Flagpole is having 8 ft shadow with 20 ft actual height. The ratio should be= 8 ft: 20 ft= 0.4
Then multiply the ratio with the oak tree shadow. The equation would be:
0.4 x 12 ft= 4.8 ft
Answer:
n=6
Step-by-step explanation:
4n + 1= 25
Move constant to the right
4n=25-1
Calculate
4n=25-1
Then divide on both sides