Answer:
Hi, there your answer is C or D and the second page is C
Step-by-step explanation:
60 divided by 4 is 15. so 2*15= 30 // 6*15= 90 // 8*15=120
Dy/dx=10,15,20,25,30
d2y/dx2=5,5,5,5,5 (there is no "rate of change" that is constant because acceleration is positive meaning that velocity keeps increasing...)
Since d2y/dx2 is constant, acceleration is constant, and this means that it is a quadratic equation of the form y=ax^2+bx+c
There are only three unknowns so we can use just three data points.
9a+3b+c=60
4a+2b+c=40
a+b+c=25 getting differences between these...
5a+b=20
3a+b=15 and again...
2a=5, so a=2.5, making 3a+b=15 become:
7.5+b=15, so b=7.5, making a+b+c=25 become:
2.5+7.5+c=25, so c=15
So the quadratic which produced the table is:
y=2.5x^2+7.5b+15
This is the regular old position function you see with any object moving with constant acceleration (like gravity when simplified).
The acceleration is 2.5 it has an initial velocity of 7.5 and an initial position of 15.
Add both amounts together but both multiplied by an unknown value, x.
3x+5x=600
8x=600
8x/8=600/8
x=75
3(75)=225
225 boys
5(75)=375
375 girls
225 boys and 375 girls
Answer:
height of the cone = 4.01273885 units
Step-by-step explanation:
Volume of a cone(V) is given by:
....[1]
where,
r is the radius and h is the height of the cone.
As per the statement:
A cone with radius 5 units and ts volume is 105 cubic units
⇒r = 5 units and V = 105 cubic units
Substitute these given values and use in [1] we have;
Multiply both sides by 3 we have;
⇒
Divide both sides by 78.5 we have;
or
h = 4.01273885 units
Therefore, the height of the cone is, 4.01273885 units