a little math help from you smart guys plse?

Question

1-find the center and radius of the circle: x^2+y^2-4x+6y-23=0
2-for the function f described by f(x)=x^2-3x, find f(-2), f(0), f(a+b)
3-y varies directly as the cube of x and x is multiplied by 0.5. What is the effect on y?
4-solve log(small 2)(log(small3)x)=2
5-a chemist has 2 solutions of ammonia&water. Sol A is 6% ammon. Sol B is 2% ammon. How many liters of each solution are needed in order to obtain 80 liters of a Sol that is 3.2% Ammon
6-a plane can fly 190 miles with the wind in the same time that it takes to fly 160 miles agst the wind. Wind speed is 30 MPH. How fast can the plane fly in still air?
7-The centripetal force F of an object moving in a circle varies directly as the square of the velcity V and inversely as the radius R of the circle. If f=8 when V=1 and R=10, what is F when v=2 and r=16?
thanks vm in advance plse show the work thanks again for helping a not so good math student, (but im trying)

Answer 1

1: (x^2-4x+4)+(y^2+6y+9)=36
(x-2)^2+(y+3)^2=6^2
center=(2,-3); radius=6

2: f(-2)=4+6=10
f(0)=0+0=0
f(a+b)=a^2+2ab+b^2-3a-3b

3.y=kx^3
y/8=k(x/2)^3
Y is reduced by a factor of eight.

4. log(base 2)(log(base 3)(x))=2
log(base 3)(x)=2^2=4
x=3^4=81

5. Let # of litres of A=x
.06x+.02(80-x)=.032*80
1.6+.04x=2.56
x=.96/.04=24 litres A, 56 litres B

6. let mph airspeed = x
distance=rate*time therefore d/r=t
190/(x+30)=160/(x-30)
cross multiply
x^2-900=30400
x=sqrt(31300)=176.918

7. F=(kV^2)/R
8=k/10
80=k
Therefore
F=4*80/16=20

You've got quite the assignment there. At least you're not waiting until Monday.

Answer 2

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Answer 3

Error in number 6.
Cross-multiply
190x-5700 = 160x + 4800
30x = 10500
x = 350 mph

Answer 4

Its Friday night and I really don't feel like doin' math. I'll let you know on Monday. I'll find out the answers on the bus ( I hope)

Answer 5

WHOA! thats really confusing. i think it would have been easier to call someone in your class who knew the answer then type all that out.

Answer 6

Please give out more points and break this up into 7 questions. More motivation for people to answer.

Answer 7

HUH?!?...i'm just as confused as u are!!