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
The slope of the line is the fraction 3/3
Answer:
The maximum number of pounds of potato salad that Charlie can buy is 0.375
Step-by-step explanation:
see the attached figure to better understand the problem
Let
a ----> the cost of one tuna sandwich
b ----> the cost of a bottle of apple juice
c ----> the cost per pound of potato salad
x ----> pounds of potato salad
we have



we know that
He wants to buy a tuna sandwich, a bottle of apple juice, and x pounds of potato salad and can spend up to $8
The inequality that represent this situation is

substitute the given values

Solve for x
Combine like terms

Subtract 6.50 both sides


Divide by 4 both sides


therefore
The maximum number of pounds of potato salad that Charlie can buy is 0.375
Mel moves 50-35=15 feet in 5-2=3 seconds. Descent rate=15/3=5 ft/sec.
Victor moves 60-50=10 feet in 4-1=3 seconds. Descent rate=10/3=3⅓ ft/sec. Mel is faster at 5 ft/sec.
Answer: B) 0
Step-by-step explanation:
1. When you add complex numbers you must add the whole parts and then the imaginary parts.
2. One of the properties of complex numbers is called "Additive identity" which is represented by:

3. Then, for the complex number
, you have:

4. Therefore, the answer is the option B.