Answer:
a, the first option
Step-by-step explanation:
You solve the inequality equation just like any other equations. The only difference is that you gotta flip the sign whenever you multiply or divide by a negative number.
The result is p>32, which is an open-circle at 32 that points toward all values greater than 32
The top later is 5 because if the ladder is 10 inches half is 5 and the other half is 5
Answer:
- The probability that the locker code begins with a prime number is 40%.
- The probability that the last digit of the locker code is an odd number is 40%
Step-by-step explanation:
- Prime numbers are the numbers that only divide with 1 or itself. So in this case it is 5 and 7.
The possible combinations are
1*4*3 (with 5) + 1*4*3(with 7) = 24
Total combinations are 5*4*3=60
(24/60)*100 = 40 %
2. Odd numbers are those which don't divide with 2. So in this case it is 6 and 8.
The possible combinations are
1*4*3 (with 6) + 1*4*3(with 8) = 24
Total combinations are 5*4*3=60
(24/60)*100 = 40 %
The motion of the mass as it moves on the bottom of the spring is a
repetitive motion.
Reasons:
The general form of the equation of the simple harmonic motion of the
mass is <em>d</em> = a·sin(ω·t)
Where;
d = The distance of the mass from the rest position
a = The maximum displacement of the mass from the equilibrium position = 6 cm
ω = The frequency of rotation
t = The time of motion
ω = The frequency of rotation

Where;
T = The time to complete one cycle (the period of oscillation) = 4 seconds

Combining the above values gives the modelling equation as follows;

Learn more here:
brainly.com/question/12904891
Answer:
dv = surface area * dh
so
dv/dt = surface area * dh/dt
width at surface = 40 + (80-40)(30/40)
= 40 + 30 = 70 cm = 0.70 m
so
surface area = 9 * .7 = 6.3 m^2
so
.3 m^3/min = 6.3 m^2 * dh/dt
and
dh/dt = .047 meters/min or 4.7 cm/min
Step-by-step explanation: