Volume of a cylinder is V=pi r^2h =42.41
3/4 *42.41=31.81ft
Answer:
12 rolls
Step-by-step explanation:
Jason wants to cut roll into pieces that are each 1/2 inches thick. 1/2 is equal to 0.5, so thickness of each roll is 0.5 inches
Total length of the roll is 6 inches. We have to find how many small 0.5 inch rolls can he cut.
In simple words we can say that we have to find: how many 0.5 inches can be out from 6 inches. This type of problem is solved by division. Dividing 6 inches by 0.5 inches will give us: How many 0.5 inches can be cut out from 6 inches i.e. how many 0.5 inches roll can be made from 6 inches roll
6 divided by 0.5 is 12.
This means Jason can cut 12 rolls of sausages each with thickness of 0.5 inches from a roll of 6 inches.
Answer:
The graph of 
crosses the x-axis at (1,0) and (-4, 0). It touches the x-axis at (-5, 0).
Step-by-step explanation:
g(x):
.
There are three factors:
- (x - 1), where k = 1,
- (x - (-4)), where k = -4, and
- (x - (-5)), where k = -5.
The first and second factors are raised to odd powers. The graph will cross the x-axis at all these two points:
- (1, 0) as a result of the factor (x - 1),
- (-4, 0) as a result of the factor (x - (-4)).
The third factor is raised to an even power. The graph will touch the x-axis at that point.
- (-5, 0) as a result of the factor (x - (-5)).
Answer:
Step-by-step explanation:
Each year, he gets a 3 percent raise. This means that his salary between consecutive years increasing by a common ratio. The formula for determining the sum of the first n terms, Sn of a geometric sequence is expressed as
Sn = (ar^n - 1)/(r - 1)
Where
n represents the number of term in the sequence.
a represents the first term in the sequence.
r represents the common ratio.
From the information given,
a = 35000
r = 1 + 3/100 = 1 + 0.03 = 1.03
Therefore, the expression that gives the total amount Alex has earned in his first n years of his career is
Sn = [35000(1.03)^n - 1]/(1.03 - 1)
Sn = [35000(1.03)^n - 1]/0.03
x-5>-2
x> -5+2
X>3
Answer is: {x | x R, x > 3}
