Answer:
The answer to the question is
25 % increase in production rate
Step-by-step explanation:
To solve the question, we note that
Initial number of products = 84 toy robots per day
Present production rate = 105 robots per day
The percentage increase is given by the increase in production rate divided by the original production rate multiplied by 100
Where increase in production rate = 105 - 84 = 21
Percentage increase = 21/84 ×100 = 25 % increase
Answer:
Step-by-step explanation:
False you must multiply the coefficient (numbers) and add the exponents.
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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The angles will add up to 180 degrees.
Answer:
1 / 8
Step-by-step explanation:
I'm assuming that is meant to be 3/4 and 1/6...
Area = Length * Width
A = 3/4 * 1/6
A = 3 / 24
simplify the fraction to get your answer
