Surface area of a sphere=4pi(r^2)
Volume of a sphere=(4/3)pi(r^3)
You need to find the r value to calculate surface area, so I'll solve for that first.
(4/3)pi(r^3)=2254pi
(4/3)(r^3)=2254
r^3=1690.5
r=(1690.5)^(1/3), around 11.9126m
Substitute this in to find surface area
A=4pi(r^2)=4pi(11.9126)^2
=1783.2818 m^2
There are 651.335 million cells in the petri dish after 11 hours and the cells will reach 1 billion cells after 14.068 hours
<h3>How to determine the number of cells after 11 hours?</h3>
The given parameters are:
At t = 0, Bacteria = 140 million
At t = 6, Bacteria = 320 million
This can be represented as:
f(0) = 140
f(6) = 320
An exponential function is represented as:
f(t) = f(0) * r^t
When t = 6, we have:
320 = 140 * r^6
Divide both sides by 140
r^6 = 2.28571428571
Take the 6th root of both sides
r = 1.15
So, we have:
f(t) = f(0) * 1.15^t
Substitute f(0) = 140
f(t) = 140 * 1.15^t
After 11 hours, we have:
f(11) = 140 * 1.15^11
Evaluate
f(11) = 651.33
Hence, there are 651.335 million cells in the petri dish after 11 hours
Time to reach 1 billion cells
This means that
f(t) = 1 billion i.e. 1000 million
So, we have:
1000 = 140 * 1.15^t
Divide by 140
1.15^t = 7.14285714286
Take the logarithm of both sides
t * log(1.15) = log(7.14285714286)
Divide both sides by log(1.15)
t = 14.068
Hence, the cells will reach 1 billion cells after 14.068 hours
Read more about exponential functions at:
brainly.com/question/2456547
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If they are just looking for the “inverse” which means flip it it’ll be 5radical (which the the v shape looking bar) x-4 = h(x)
Answer: This is possible because of the total of matches played. If the Badgers have won a greater percentage of their games than the Cougars, it means that they played less games.
Step-by-step explanation: The percentage of games won is related to the total number of games played. For example, let's suppose that the Badgers played 10 games, won 6 and lost 4, they won 60% of their games. If the Cougars played 12 games, won 6 and lost 6, their percentage is 50%. This way, they have the same number of wins but different percentages.
Answer:
6 cups of yellow paint and 9 cups of red paint are required for 3 batches of orange paint.
Step-by-step explanation:
Consider the provided information.
A particular shade of orange paint has 2 cups of yellow paint for every 3 cups of red paint.
We need to find the numbers of cups of yellow and red paint needed for 3 batches of orange paint.
For one batches of orange paint we need 2 cups of yellow and 3 cups of red.
So for 3 batches of orange paint we need:
2×3 = 6 cups of yellow paint.
3×3 = 9 cups of red paint.
The required number line is shown below.
