Answer:
Option D. 5.45 Ω
Explanation:
From the question given above, the following data were obtained:
Resistance 1 (R₁) = 10 Ω
Resistance 2 (R₂) = 20 Ω
Resistance 3 (R₃) = 30 Ω
Voltage (V) = 120 V
Equivalent resistance (R) =?
The equivalent resistance can be obtained as follow:
1/R = 1/R₁ + 1/R₂ + 1/R₃
1/R = 1/10 + 1/20 + 1/30
Find the least common multiple (lcm) of 10, 20 and 30. The result is 60
Divide 60 by each of the denominators and multiply by their numerators respectively. We have:
1/R = (6 + 3 + 2)/60
1/R = 11/60
Invert
R = 60/11
R = 5.45 Ω
Thus, the equivalent resistance in the circuit is 5.45 Ω
Answer:
The speed of the cyclist is 2.75 km/min.
Explanation:
Given
To determine
We need to find the speed of a cyclist.
In order to determine the speed of a cyclist, all we need to do is to divide the distance covered by a cyclist by the time taken to cover the distance.
Using the formula involving speed, time, and distance
where
substitute d = 88, and t = 32 in the formula
Cancel the common factor 8
km/min
Therefore, the speed of the cyclist is 2.75 km/min.
Gregor Mendel is considered the "Father of Genetics" because of his work with pea plants.
Well, since the question GIVES you the initial velocity, the acceleration, and the time, and ASKS for the final velocity, you'd be smart to find an equation that USES the initial velocity, the acceleration, and the time, and FINDS the final velocity.
Have a look at equation B ..... vf = vi + a*t . That's pretty durn close !
vf = (initial velocity) + (acceleration)*(time)
vf = (3 m/s) + (5 m/s²)*(4 sec)
vf = (3 m/s) + (20 m/s)
vf = 23 m/s
Answer: 16.22 m/s^2
Explanation: g= GM/r^2 G= (6.67x 10^-11) M= 1.66(6x 10^24) r=(6400x 10^3) so
((6.67x10^-11)(1.66x 6x 10^24))/ (6400x10^3)^2 = 16.22 m/s^2
