Answer:
5.4, -5, -9/10
Step-by-step explanation:
The common difference if there is one is the constant difference that occurs between any term and the term before it.... in this case:
There is no common difference,
dx=18,20,16,18 the difference or velocity is not constant...
d2x=2, -4,2 the acceleration is not constant...
d3x=-6,6 the thrust is not constant
Now we might be tempted to say that:
d4x=12 and say that that is constant and we COULD make a quartic equation fit all the data points, but without further data points in the sequence there is no mathematical proof that the quartic equation would produce accurate data points outside of the range given...
And solving a system of five equations for five unknowns is tedious for such a problem...a^4+bx^3+cx^2+dx+e=y
X = cos(pi/6) = √3/2
y = sin(pi/6) = 1/2
So at point (√3/2, 1/2)
Lets x = missing angle
x = 180 - (60+80)
x = 180 - 140
x = 40
answer
40
Answer:
money saved by james = 30/2 = 15
equation used
money with James = 3/4 (money with sister)
x/2 + 30 =3/4( x + 30 )
Step-by-step explanation:
Let money saved by sister be x
given
James has saved half the amount of money as his sister has saved.
Money saved by James = x/2
Total money saved by both of them = x + x/2
If they both save 30 more
Then
money with sister = x + 30
money with james = x/2 + 30
given that If they both save 30 more, james will have saved 3/4 as much as her sister
thus,
money with james = 3/4 (money with sister)
x/2 + 30 =3/4( x + 30 )
=> 4(x+30*2) /2 = 3x+90
=> 2x + 120 = 3x + 90
=> 3x-2x = 120-90
=> x = 30
Thus,
money saved by james = 30/2 = 15
equation used
money with james = 3/4 (money with sister)
x/2 + 30 =3/4( x + 30 )
