Cannot see your image, but the formula for the volume of a sphere is
V=(4/3)πr³
to solve for r: r³=v÷(4/3)π=v*3/(4π)=3v/(4π) (three v out of 4 pi)
r=∛(3v/4π)
r equals the cubic root of (three v over 4π)
To get the points at which the two boats meet we need to find the equations that model their movement:
Boat A:
vertex form of the equation is given by:
f(x)=a(x-h)^2+k
where:
(h,k) is the vertex, thus plugging our values we shall have:
f(x)=a(x-0)^2+5
f(x)=ax^2+5
when x=-10, y=0 thus
0=100a+5
a=-1/20
thus the equation is:
f(x)=-1/20x^2+5
Boat B
slope=(4-0)/(10+10)=4/20=1/5
thus the equation is:
1/5(x-10)=y-4
y=1/5x+2
thus the points where they met will be at:
1/5x+2=-1/20x^2+5
solving for x we get:
x=-10 or x=6
when x=-10, y=0
when x=6, y=3.2
Answer is (6,3.2)
In statistics, the amount of degrees of freedom is
the quantity of values in the final computation of a statistic that are free to
differ. In this case, you can get the answer by adding the number of bags
and subtracting 1.
So in computation, this would look like: 3 + 2 + 1 + 2 - 1 =
7
Therefore, 7 is the degrees of freedom.
Dina : Yana : Difference
4 :1 : 4-1
4: 1: 3
she threw away 26 and is now 2 less (which means if she has threw away 24, they wil have the same)
Given from the ratio above, the difference is 3 parts
3 parts = 24
1 part = 24 ÷ 3 = 8
4 parts = 8 x 4 = 32
Dina had 32 at first
