Y=ax² + bx + c and A(-2,18), B(0.4), C(4,24) given
1)Let's determine 1st the value of c in using the pair of B
4= a(0)² + b(0) + c , c=4 and y=ax²+bx+4
2) Use the pair of A: 18 = 4a -2b + 4===> 4a-2b=14
3) Use C pair: 24 = 16a+4b+4 ==> 16a+4b=20
4) solve the system equation in 2) and 3) and you'll find a=2 and b=-3
Hence the equation is y =2x²-3x+4
Answer:
14ft
First get the cones volume formula v=(3.14*r^2*h)/3
Second find the radius which is 1/2 the diameter.
Third plug in given and solve 366= (3.14*5^2*h)/3
366*3=3*(3.14*25*h)/3
1098=78.5h
1098/78.5=78.5h/78.5
13.987=h
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:
<h3 /><h3><em>Interest:</em></h3>
<em>Interest is the cost of borrowing money, and the money you earn from your savings.</em>
<h3 /><h3><em>Interest rate</em></h3>
<em>Interest rates indicate this cost or return as a percentage of the amount you are borrowing or lending (since you are “lending” your savings to the </em><em>bank)</em>
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#<em>k</em><em>e</em><em>e</em><em>p</em><em> </em><em>learning</em><em>!</em><em>!</em>
We know, Volume of a Cylinder = πr²h
Here, r = 2/2 = 1 ft
h = 3 ft
Substitute their values,
v = 3.14 * (1)² * 3
v = 9.42 ft³
In short, Your Answer would be: 9.42 Ft³
Hope this helps!