Answer:
There are 25 students in the class.
Step-by-step explanation:
Let x be the number of students in the class
12% failed and the number of students is 3
x*12% = 3
x*.12 = 3
Divide each side by .12
x * .12 /.12 = 3/.12
x =25
There are 25 students in the class
Answer:
A) (1 s, 2.3 s)
B) (-4 m/s², 3.8 m/s²)
Step-by-step explanation:
The car's position which is the distance is given by the equation;
s(t) = t³ - 5t² + 7t
A) Velocity is the first derivative of the distance. Thus;
v(t) = ds/dt = 3t² - 10t + 7
At v = 0, we have;
3t² - 10t + 7 = 0
Using quadratic formula, we have;
t = 1 and t = 2.3
Thus, time at velocity of 0 is t = (1 s, 2.3 s)
B) acceleration is the derivative of the velocity. Thus;
a(t) = dV/dt = 6t - 10
At velocity of 0, we got t = 1 and t = 2.3
Thus;
a(1) = 6(1) - 10 = -4 m/s²
a(2.3) = 6(2.3) - 10 = 3.8 m/s
Thus, a(t) at v = 0 gives; (-4 m/s², 3.8 m/s²)
Answer:
3/5, 30%, 0.1
Step-by-step explanation:
0.4 + 1/2 + 40% = 0.4 + 0.5 + 0.4 = 1.3
3/4 + 0.25 + 1/2 = 0.75 + 0.25 + 0.5 = 1.5
3/5 + 30% + 0.1 = 0.6 + 0.3 + 0.1 = 1
The last choice is a probability complement because all values add to 1.
Answer: $62.25
Step-by-step explanation:
The mark-up is $477.25 - 415 = $62.25
