3x 2 + 2x - 5 and -4 + 7x 2
2 answers:
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Complete question:
Rory records the percentage of battery life remaining on his phone throughout a day. The graph represents the percentage of battery life remaining after a certain number of hours.
Rory’s battery was full at 6:00 a.m, or t = 0. Which times could Rory's phone have been plugged into the charger? Select three options.
12:00 p.m.
3:00 p.m.
5:00 p.m.
8:00 p.m.
11:00 p.m.
The graph is attached
Answer:
3:00 p.m
5:00 p.m
11:00 p.m
Step-by-step explanation:
From the graph, there are rise times, fall times and there are times the movement is steady (no rise or fall).
The rise time represents the time the phone was plugged. The fall time represents when the charger has been unplugged so the battery level starts depreciating. When it is constant, it means the battery level is at 100 but the charger is still connected to the phone.
We are told at initial condition, time was 6 a.m (t = 0). To get the exact time, we are to add the initial condition, i.e 6
From the graph, the times the phone could have been plugged are 8:00 to 12:00 hrs and 16:00 to 20:00 hrs.
Converting from 24 hr to 12 hr time, we have:
6 + 8hrs = 14:00 = 2:00 p.m
6 + 9hrs = 15:00 = 3:00 p.m
6 + 10 hrs = 16:00 = 4:00 p.m
6 + 11 hrs = 17:00 = 5:00 p.m
6 + 12 hrs = 18:00 = 6:00 p.m
6 + 16 hrs = 22:00 = 10:00 p.m
6 + 17 hrs = 23:00 = 11:00 p.m
6 + 18 hrs = 00:00 = 12:00 am
6 + 19 = 1 : 00 = 1:00 a.m
6 + 20 = 2:00 = 2:00 a.m
From the options given in the question, we have:
3:00 p.m; 5:00 p.m; 11:00 p.m
Therefore, times could Rory's phone have been plugged into the charger are:
3:00 p.m
5:00 p.m
11:00 p.m
Answer:
k =
Step-by-step explanation:
Fisherman noticed a stretch in the spring = 'b' centimetres
Weight of the fish = a kilograms
If force applied on a spring scale makes a stretch in the spring then Hook's law for the force applied is,
F = kΔx
Where k = spring constant
Δx = stretch in the spring
F = weight applied
F = mg
Here 'm' = mass of the fish
g = gravitational constant
F = a(9.8)
= 9.8a
Δx = b centimetres = 0.01b meters
Therefore, 9.8a = k(0.01b)
k =
k =
Therefore, spring constant of the spring will be determined by the expression, k =
Answer:
Step-by-step explanation:
The given line passes through the points;
and
Let us find the slope using;
The equation is given by;
We substitute the values into the formula to obtain;
There the equation of the line is