Step-by-step explanation:
The displacement of a particle d (in km) as a function of time t (in hours) is given by :

Displacement at t = 4 hours,

Velocity of particle is given by :

Velocity at t = 4 hours,

Acceleration of the particle is given by :

At t = 4 hours,

Therefore, the displacement, velocity and acceleration at t = 4 hours is 205 km, 136 km/h and 58 km/h² respectively.
We know that
if <span>the probability of hitting the blue circle is the same as the probability of hitting the green region
then
the area of the blue circle is equal to the area of the green region
Let
x----> diameter of the blue circle
area of the blue circle=pi*(x/2)</span>²----> (pi/4)*x² m²-----> equation 1
area of the green region=area of the larger circle-area of the blue circle
area of the green region=pi*(1/2)²-(pi/4)*x²
=(pi/4)-(pi/4)*x² m²----> equation 2
equate equation 1 and equation 2
(pi/4)*x²=(pi/4)-(pi/4)*x² -----> divide by (pi/4)---> x²=1-x²
2x²=1-----> x²=1/2----> x=1/√2-----> x=√2/2 m
the diameter of the blue circle is √2/2 m
Answer:Assuming a 3-inch diameter, pillar candles of 3, 4 and 6 inches in height will burn for 45, 60 and 75 hours, respectively. Three-inch Party Lite pillar candles will burn 30-35 hours; 5-inch, 65 to 70 hours; and 7-inch, 90 to 95 hours. The three-wick 6-by-5-inch candles burn for more than 100 hours.
Step-by-step explanation:
Answer:
t(99)= -2.89
Step-by-step explanation:
-To places after the decimal point is equivalent to rounding off to the nearest hundredth.
-To round off to the nearest hundredth, we check the thousandths digit:
- If the thousandths digit is less than5, we round down to the previous hundredth.
- If the thousandths digit is greater than 4, we round up to the next hundredth:
Hence,