Answer: 0.1
Step-by-step explanation:
If we spin a fair spinner numbered 1 - 5 and flips a fair coin.
Then, the possible outcomes will be :-

i.e. total 10 possible outcomes.
The favorable outcomes = a 2 and a head i.e. only 1 .
Now, the probability of obtaining a 2 and a head will be :_

Hence, the probability of obtaining a 2 and a head = 0.1
Step-by-step explanation:
The coefficent of the x variable is b.
The formula for the period is

Here, b is 6 so we have

So the period is pi/3, or 60 degrees
Answer:
9. Force is required to change an object velocity.Force is equal to mass times acceleration.
10. Force acting on object are paired with equal and opposite forces
Step-by-step explanation:
9.
Newton's 2nd law states that force is a product of mass and acceleration.In this case, the force of friction is causing deceleration of the ball.This is an example of rolling friction.Acceleration of the ball depends directly on this friction but indirectly on its mass.
10.
From Newton's 3rd Law ,for every action there is an equal and opposite reaction.The astronaut throwing the ball will experience the effect of an external force againts his own which is equal and in the opposite direction to the force she applied.This is why the astronaut moves backward but slower.
Answer:
3
Step-by-step explanation:
3/4 (5x -3)+8=17
3/4 (5x -3) = 17 - 8 = 9
(5x -3) = 9 * (4/3)= 36/3 = 12
5x = 12 + 3 = 15
x = 3
Answer:
The area of the region between the graph of the given function and the x-axis = 25,351 units²
Step-by-step explanation:
Given x⁵ + 8 x⁴ + 2 x² + 5 x + 15
If 'f' is a continuous on [a ,b] then the function

By using integration formula

Given x⁵ + 8 x⁴ + 2 x² + 5 x + 15 in the interval [-6,6]

<em>On integration , we get</em>
= 

= 
After simplification and cancellation we get
= 
on calculation , we get
= 
On L.C.M 15
= 
= 25 351.2 units²
<u><em>Conclusion</em></u>:-
<em>The area of the region between the graph of the given function and the x-axis = 25,351 units²</em>