Answer:
7.57 cm
Step-by-step explanation:
Volume of a cylinder = πr²h
π = 3.14
r= radius
h = height
1,800 = 3.14 x r² x 40
r² = 1800 /(3.14 x 40)
r² = 14.33121
√14.33121 = r
r = 3.785658 cm
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
Diameter = 2 x 3.785658 cm = 7.57cm
Q.34

The infinite geometric series is converges if |r| < 1.
We have r =1.002 > 1, therefore our infinite geometric series is Diverges
Answer: c. Diverges, sum not exist.
Q.35

The infinite geometric series is converges if |r| < 1.
We have r = 4/5 < 1, therefore our infinite geometric series is converges.
The sum S of an infinite geometric series with |r| < 1 is given by the formula :

We have:

substitute:

Answer: c. Converges, -25.
Answer:
The graph of function g is the graph of function f shifted 6 units up
Step-by-step explanation:
If you plug in the values,
. If the 6 was added or subtracted from the x in the exponent, it would shift horizontally (left and right), but adding 6 to f(x) separately moves the graph vertically (up and down). Hope this helps.
Answer:
Step-by-step explanation:
<u>Amount paid for food booth</u>
- 15*$100 + 15*d*$5 = 75d + $1500
<u>Amount paid for game booth</u>
- 20*$50 + 20*d*$7 = 140d + $1000
<u>Total amount paid</u>
- 75d + $1500 + 140d + $1000 = 215d + $2500