Step-by-step explanation:
a.) To model this scenario
Let the height of ball = y
The height of 1st= 0.5y
2nd =0.5(0.5y)
3rd = 0.5*(0.5(0.5y))
Hence the height of nth bounce can be modeled as
Height of nth bounce =(0.5ⁿ-1)*y
The exponential equation is
hn= (0.5ⁿ-1)*y
b.) if the ball is dropped from 9ft above the ground
y= 9ft
On the 4th bounce
n=4
Substituting in the exponential equation we have
h4=(0.5^4-1)*9
h4=0.5³*9
h4= 0.125*9
h4= 1.125ft
On the 4th bounce, the ball will reach a height of 1.125ft
Answer:

Step-by-step explanation:
Given
Shape: Right Circular cone
Height, h = 12.5 cm
Base circumference, C = 5.8cm
Required:
Calculate Volume
The volume of a cone is calculated as thus;
Volume, 
Where V, r and h represent the volume, the radius and the height of the cone respectively
But first we need to calculate the radius of the cone.
Using formula of circumference.

We have C to be 5.8cm
By substituting this value;

Divide through by 



Now, we can calculate the volume of the cone
By substituting
and h = 12.5 cm;
becomes



Take
as 3.14


---- Approximated
Hence, the volume of the cone is; 
The answer is 160, multiply 12 by 4 to get 48 cats. 40 multiplied by 4 = 160.
If that makes since.
Hope this helps
Answer: 210
Step-by-step explanation:
55×12=660-500=160+50(down payment)=210
Answer:
See explanation
Step-by-step explanation:
A. Solution set is in the attachment (dark green shading in the middle)
B. Yes, 2(5) + 3(1) ≤ 15; 13 is less than or equal to 15
5 + 1 > 3, 6 is greater than 3
C. (4, 2) means that he buys 4 sandwiches and 2 hot lunches