Answer:
B
Step-by-step explanation:
Answer: 7877
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Work Shown:
x = elapsed time (in hours) since 7:00 AM
y = bacteria population in thousands
eg: something like y = 2 means 2000 bacteria
At 7:00 AM, x = 0 and y = 6
y = a*b^x
6 = a*b^0
6 = a*1
6 = a
a = 6
At 12:00 PM noon, which is 5 hours after 7:00 AM, the population is 6500.
So (x,y) = (5,6.5)
y = a*b^x
y = 6*b^x
6.5 = 6*b^5
6.5/6 = b^5
1.083333 = b^5
b^5 = 1.083333
b = (1.083333)^(1/5)
b = 1.016137
which is approximate
The approximate exponential growth model is
y = 6*1.016137^x
Plug in x = 17 to find the population at midnight. Keep in mind that midnight is 12 hours after 12:00 PM noon, so 12 additional hours elapse after the initial 5, meaning a total of 12+5 = 17 hours pass by from 7:00 AM to 12:00 AM the next day.
y = 6*1.016137^x
y = 6*1.016137^17
y = 7.876618
I made y be the population in thousands, so you'll need to multiply that y value by 1000 to get
7.876618*1000 = 7876.618 which rounds to 7877 when rounding to the nearest whole number
So that's why the answer is roughly 7877
Answer:
The three values are: 9, 10 and 11
Answer:
x=15
Step-by-step explanation:
Well, you have 2 numbers that sum up to 90 (the angle) so you can first minus the one you know, making your number from 90-30=60. Now all thats left is the 4x=60, which you can do 60/4=15 to get your answer that x=15.
If the only perimeters are that the length has to be twice the width and less than 108 meters then there are an infinite amount of possible values for width. For example: 1.0002 and 2.0004 or 4 and 8. You can use an infinite amount of decimal places and therefore have an infinite amount of values.
The largest the width can be is the limit approaching 18 and it has to be greater than 0 tho