Answer:
A) 2144.66 in³
Step-by-step explanation:
A fishbowl shaped like a sphere is filled with water. The fishbowl has a diameter of 16 inches. Which measurement is closet to the volume of water in the fishbowl in cubic inches?
Volume of a sphere = 4/3πr³
Diameter = 16 in
Radius = Diameter/2 = 16 in/2 = 8 in
Volume of a Sphere = 4/3 × π × 8³
= 2144.66 cubic Inches
Option A.is correct
The ratio 3:9 can also be written as a fraction 3/9.
Divide the numerator and denominator by 3 to get 1/3.
3:9 = 1:3
Answer:
Please Specify
Step-by-step explanation:
Answer:
Conjecture : 2xy / ( x + y ) ≤ √xy
Step-by-step explanation:
Harmonic mean of x and y = 2xy/( x + y )
<u>Formulate a conjecture about their relative sizes </u>
we will achieve this by computing harmonic and geometric means
Geometric mean = √xy
harmonic mean = 2xy/( x + y )
Conjecture : 2xy / ( x + y ) ≤ √xy
attached below is the proof
Answer: the expected population of the city in 30 years is 5470781
Step-by-step explanation:
The population growth is exponential. The growth rate is exponential. We would apply the formula for exponential growth which is expressed as
A = P(1 + r)^t
Where
A represents the population after t years.
t represents the number of years.
P represents the initial population.
r represents rate of growth.
From the information given,
P = 3.5 × 10^6
r = 1.5% = 1.5/100 = 0.015
t = 30 years
Therefore,
A = 3.5 × 10^6(1 + 0.015)^30
A = 3.5 × 10^6(1.015)^30
A = 5470781