Answer:
3/8
Step-by-step explanation:
1/8 of the bag is blue, 1/2 is red add that and you get 5/8 then subtract 8/8 with 5/8 and that gives you 3/8.
Answer:
(x-3)^2+(y+6)^2=41
Step-by-step explanation:
Answer:
An object moving along the x-axis is said to exhibit simple harmonic motion if its position as a function of time varies as
x(t) = x0 + A cos(ωt + φ).
The object oscillates about the equilibrium position x0. If we choose the origin of our coordinate system such that x0 = 0, then the displacement x from the equilibrium position as a function of time is given by
x(t) = A cos(ωt + φ).
A is the amplitude of the oscillation, i.e. the maximum displacement of the object from equilibrium, either in the positive or negative x-direction. Simple harmonic motion is repetitive. The period T is the time it takes the object to complete one oscillation and return to the starting position. The angular frequency ω is given by ω = 2π/T. The angular frequency is measured in radians per second. The inverse of the period is the frequency f = 1/T. The frequency f = 1/T = ω/2π of the motion gives the number of complete oscillations per unit time. It is measured in units of Hertz, (1 Hz = 1/s).
The velocity of the object as a function of time is given by
v(t) = dx(t)/dt = -ω A sin(ωt + φ),
and the acceleration is given by
a(t) = dv(t)/dt = -ω2A cos(ωt + φ) = -ω2x.
Answer:
Step-by-step explanation:
The amount of money that Jason earns is dependent on the amount of time, t in hours that he works
The function f(x) = 15t represents the money he earns for working t hours. Therefore, the dependent variable is f(x) and the independent variable is t
Jason works at least 5 hours but not more than 10. This means that The minimum amount that he can earn is 15×5 = $75
The maximum amount that he can earn is 15×10 = $150
The practical domain is all possible values for t. It becomes
5 lesser than or equal to t lesser than or equal to 10
The practical range is all possible values for f(x). It becomes
75 lesser than or equal to f(x) lesser than or equal to 150
Answer:
5400 m
Step-by-step explanation:
60 m/h x 1 : 30
=60 x 90
=5400
