URGENT HELP!! ASAP please!
1 answer:
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Answer:
1)f(x)=2(3)^x
2)f(x)=10(2)^x
3)Graph attached
4) Amber will have 192 and 3145728 shares on day 3rd and 10th respectively
Ben will have 54 and 118,098 shares on day 3rd and 10th respectively
Carter will have 80 and 10240 shares on day 3rd and 10th respectively
5)the graph has moved 45 unit up
6)Amber's posts will travel fastest
7)Amber' function
Step-by-step explanation:
1)
Ben shares posts with two friends and then they share with 3 more everyday, so her the growth rate is 3
f(x)=2(3)^x
x=number of days
2)
Carter shares posts with ten friends and then they share with 2 more everyday, so her the growth rate is 2
f(x)=10(2)^x
x=number of days
3)
Graph attached contain graph's of following
Ben's f(x)=2(3)^x in red
Carter's f(x)=10(2)^x in blue
Amber's f(x)=3(4)^x in green
4)
Finding how many shares each student will get on day 3 and day 10:
For Amber:
substituting x=3,
f(x)=3(4)^3
= 192
Now substituting x=10,
f(x)= 3(4)^10
= 3145728
Amber will have 192 and 3145728 shares on day 3rd and 10th respectively
For Ben:
substituting x=3,
f(x)=2(3)^3
= 54
Now substituting x=10,
f(x)= 2(3)^10
= 118,098
Ben will have 54 and 118,098 shares on day 3rd and 10th respectively
For Carter:
substituting x=3,
f(x)=10(2)^3
= 80
Now substituting x=10,
f(x)= 10(2)^10
= 10240
Carter will have 80 and 10240 shares on day 3rd and 10th respectively
5)
If Amber's graph changes to
f'(x)=3(4)^x +45
then as per translation, it means the graph has moved 45 unit up from original position as shown in attached graph
original f(x)=3(4)^x in green
translated f'(x)=3(4)^x +45 in blue
6)
In exponential function the base of function effects the growth and in given cases of Amber, Ben and Carter; base of Amber's function is greatest i.e 4 other two have 2 and 3.
So Amber's posts will travel fastest
7) A post with fewer friends initially and then more shares like Amber. Because at the end of the day the growth rate is important and as explain above the number of shares i.e base of exponential function is important.
Hence for more shares and likes Amber' function is the best choice !
Answer:
76.25°
Step-by-step explanation:
The solution to the differential equation is an exponential curve with a horizontal asymptote at Tm. It passes through (0, 145) and (30, 95), so the equation can be written as ...
T = 80 +65((95-65)/(145-65))^(t/30)
T = 80 +65(3/8)^(t/30)
That is, the temperature difference is reduced to 3/8 of its original value in 30 minutes.
Since the coffee in cup B cools twice as fast, it will cool to the same temperature (95°) in 15 minutes. In the next 15 minutes, the temperature difference will be reduced to (3/8)^2 of the original 80°, so will be 11.25°. That is, the temperature of cup B will be ...
11.25° +65° = 76.25°
after 30 minutes.
a. Use the inclusion/exclusion principle.
b. By definition of conditional probability,