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Mass of the roller coaster = 1000 kg
Velocity of the roller coaster = 20.0 m/s
We know the formula for finding the kinetic energy is
Kinetic energy = 0.5 * mass * (velocity) ^2
= 0.5 * 1000 * (20)^2
= 0.5 * 1000 * 400
= 200000 Joules
So the Kinetic energy of the roller coaster is 200000 joules.
Answer:
- Both have 4 imaginary roots
Step-by-step explanation:
1)
1.
- x^2 + 9 = 0
- x^2 = - 9
- x = ± √-9
- x = ± 3i
2.
- x^2 + 6 = 0
- x^2 = -6
- x = ±√-6
- x = ± i√6
It has 4 imaginary roots and no real roots
2)
1.
- x^2 + 7 = 0
- x^2 = -7
- x = ± √7
- x = ± i√7
2.
- x^2 + 5 = 0
- x^2 = - 5
- x = ± √-5
- x = ± i√5
It has 4 imaginary roots and no real roots
The relative frequency probability that an accurate forecast will be made the next day is ratio of the number of correct predictions made to the total number of predictions is 0.575
The total number of predictions made = 40
The number of correct predictions = 23
The relative frequency probability is given by ;
- Number of correct predictions ÷ total number of predictions made
Therefore, the relative frequency probability that an accurate forecast will be made tomorrow is 0.575
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You would multiply 8.25 by 3 which equals 24.75. Then multiply 1.50 by 8 which is 12.00.