Meters are used to measure everything between the length of a ruler and the distance between things in a room. Most household objects such as tables, rooms, window frames, television screens, etc. would be measured in meters. Kilometers are used to measure long distances.
The curves cross at coordinates (x, y) = (1, 4). The x-value is said to represent the increase in temperature, while the y-value is said to represent the numbers of visitors and those and who leave early.
The "solution" is the temperature change at which the number of visitors is equal to the number who leave early.
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:
3. 25
4. 22,31,46
5. One reason beth might not want to join is because she would be the oldest person in the club. according to the stem and leaf chart the oldest person currently in the class is 55 and the next few down are all in their 40s.
Step-by-step explanation:
question 3 is 25 because the median is the middle number, which in this case is 25. question 4 you got correct but there are multiple modes for this set of data being 22,31,46 because all of these numbers tie with 2 of them being repeated throughout the table. question 5 just shows that beth would be the oldest in the club by a marginal number too so that is why beth might not want to join the club.
Answer:
1. x=6
2. x=9
Step-by-step explanation:
1.
2.
<u>Written Explanation: </u>
1.
-2x(3x+9)=-54
-6x-`8=54 (Distributive property)
Add 18 to both sides
-6x=-36
Divide both sides by -6 (negative divided by a negative equals a positive)
x=6
2.
2(3x+4)-3x=35
6x+8-3x=35 (distributive property)
3x+8=35 (combine Iike terms and then subtract them 6x-3x=3x)
Subtract 8 from both sides
3x=27
Divide both sides by 3
x=9
