<h3>
Answer: x3 +2 +x+x+</h3>
Step-by-step explanation:
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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Answer: x = (-3,3), y = (-5,5)
Step-by-step explanation:
Add both of the equations together, for . Now we can divide both sides by 3, getting. we subtract the first equation from our equation we just got, getting y= (5,-5). once we plug that in, we get , x = (-3,3)
Answer:
x=9
Step-by-step explanation:
−4(4−x)=4/5(x+16)
(−4)(4)+(−4)(−x)=(4/5)(x)+(4/5)(16)(Distribute)
−16+4x=4/5x+64/5
4x−16=4/5x+64/5
4x−16−4/5x=4/5x+64/5−4/5x
16/5x−16=64/5
16/5x−16+16=64/5+16
16/5x=144/5
(5/16)*(16/5x)=(5/16)*(144/5)
x=9
hopfully this helps answer: x=9
Answer:
a. -2
b. 48, -96, 192
Step-by-step explanation: