# Posts by Damon

Total # Posts: 30,127

Math
21 7/8 * 2 1/2 one way is to use distributive property (21 + 7/8)(2 + 1/2) =(2 + 1/2)(21) +(2 + 1/2)(7/8) = 42 + 21/2 + 7/4 + 7/16 = 42 + 168/16 + 28/16 + 7/16 = 42 + 203/16 = 42 + 12 + 11/16 = 54 11/16

Physics
yes,your table is for a = dv/dt = 4 so dv = 4 * dt dv/dt = a = 4 v = a t = 4 t x = (1/2) a t^2 t a v x 0 4 0 0 1 4 4 2 2 4 8 8 3 4 12 18 4 4 16 32 5 4 20 50 It is that v column you want, how far it moves PER SECOND not how far it moved total.

Physics
so dx/dt = a t dx = a t dt at t = 0, dx = 0 at t = 1, dx = a at t = 2, dx = 2a at t = 3, dx = 3a at t = 4, dx = 4a etc in other words you are looking at v(t), the velocity, which is linear with time (the CHANGE in position, not the position) v = a t the POSITION itself will be...

College Calc
sqrt 576 = 24 24*4 = 96

College Calc
LOL,square min P, given A A = L w so L = A/w P =2L+2w P = 2A/w + 2 w 2 w^2 - w P = -2 A w^2 -(P/2)w = A w^2 -P/2 w + P^2/16 = -A + P^2/16 (w-P/4)^2 = -(1/16)(16A-P^2) vertex when w = P/4 (that is a square :) Area = P^2/16 = (P/4)^2 of course P given, max A A = L w P =2L+2w so ...

Physics
R is speed of rain r is angle of rain to vertical horizontal rain we see = Rsinr+bike speed vertical rain we see = R cos r case 1 hor = R sin r + 20 ver = R cos r tan 45 = (R sin r +20) /Rcos r case 2 tan 19deg48 min = (R sinr +12)/R cos r

Algebra
It is as if she got 89 on 5 of the 6 tests! (89*5 + x)/6

Physics
http://formulas.tutorvista.com/physics/doppler-shift-formula.html

Physics
As the ambulance approaches, the pedestrian will hear a higher frequency. As it recedes a lower frequency. Add the absolute values of the changes. For the formula, Google Doppler shift (classical not relativistic)

chemistry
4/2 = 2 mols of CO2 for every mol of C2H6 mol of C2H6 = 2*12+6 = 30 g mol of CO2 = 12+32 = 44 g 7500 * 2 * 44/30

history knowledge
I guess I would have to go along with that but wonder if it would have lasted if he had lived. The last few years of scooting around the Middle East and western Asia did not seem to be aimed at establishing any sort of permanent government but rather putting people in titular ...

Physics
Fup = m (9.81 + v^2/R) 2*265 = 30 (9.81+v^2/1.4) (b) 2*265 up assuming the seat has no mass :)

Math
55% is Cu and FE so 45% is zinc .45 *720 = 324 grams That is assuming this is a MATH, not a Chemistry problem. If it were Chemistry they might be looking at 1/4 of the molecules are Cu, not 1/4 of the mass.

Math
2^n

Math
5(.07)(8000)=2800

Calculus
Yes, of course -4-1 = -5 :)

Calculus
where do they hit? 4 x^2 = 45 - x^2 x^2 = 9 x = +/- 3 cylinder height = 45-x^2 - 4 x^2 = 45 - 5 x^2 cylinder thickness = dx cylinder circumference = 2 pi x so V=?[0,3]2 pi x(45-5x^2)dx

So what?

physics
Vertical problem: at max height (half the trip) 600 = Vi t - .5*9.8 t^2 .5*9.8 t^2 - Vi t + 600 = 0 also v = 0 so 0 = Vi -gt t = Vi/g = Vi/9.8 so .5*9.8(Vi^2/9.8^2) - Vi^2/9.8 +600 = 0 600 = .5*VI^2/9.8 Vi = 108 m/s initial up speed t = rising time = 108/9.8 = 11.1 s total ...

Finite Math
A (1.0465)^6 = 15,000 A = 15,000/1.313516 = 11,419.73

physics
Ke = (1/2)(1260)(14.8^2) Joules go ahead and integrate m a dx if you want but energy is a lot easier.

Physics
total weight = (251+350)(9.81) + rhogas 9.81(4/3) pi (9.5)^3 where rhogas is the mass per unit volume of the gas in the balloon weight must = weight of air displaced = rhoout g (4/3)pi(9.5)^3 rho gas = kg/mol * n = .029 n where n is mols in PV =nRT T = 273 + T that we want rho...

Pressure in Physics
60 *9.81/10 N/m^2 or Pascals if you mean on the floor on earth and 10 is the floor area

maths
2 pi Ro = 44 solve for Ro then Ri = Ro - 2 so inner circumference = 2 pi Ri and Path area = pi(Ro^2-Ri^2)

math
16 = 4*4 12 =4*3 so 4*4*3 is LCM = 48 of each 3 packs HD 4 packs buns

Physics
google Bernoulli constant= v^2/2 + g z + p/rho in your units v in m/s p in Pascals(N/m^2) rho = 1000 kg/m^3 for water g about 9.8 v at bottom = 1.2 m/s v at top = 2 v at bottom =2.4 m/s z at top = z at bottom + .2 meters p/rho bottom =143000/1000 so 2.4^2/2 + 9.8(.2)+ 143 = 1....

Math
B yes C 128(0.5)^3 128*.125 = 16 yes D 128*.5^8 = 128* .00390525 = 0.5 YES !!!!!

Math
Gabby drove t-3 hours she drove 2 hours so t-3 = 2 and Ryan drove 5 hours D = Ryan speed * 5 D = Gabby speed * 2 so 5 R = 2 G but G = R+42 so 5 R = 2(R+42) 3 R = 84 R = 84/3 = 28 HUY - The DIFFERENCE is 42

Calculus 1
v = x^3 dv/dx = 3 x^2 dv/dt = dx/dt * dv/dx dv/dt = 4 * 3(121) cm^3/s

math
1000-850 = 150 interest 150 = 850 (.08) t

Pre-Calculus
satellite position is likely to be x, y , z of t :)

science
1. I disagree with you. People just assumed we were at the center. Partly religious 2. agree 3. agree 4. I agree with you. A and B are obvious. D is the sun and moon working together to produce spring tides when the moon is full and new and neap tides when the moon s half moon...

Algebra
v = dh/dt = 32 -32 t at top, v = 0 t = 1 h = 9+16 = 25 ====================== now with algebra 16 t^2 -32 t =9 - h complete square t^2 -2 t = (-1/16)(h - 9) t^2-2t+1 = (-1/16)(h - 9)+16/16 (t-1)^2 = -(1/16)( h-25) t = 1, h=25 same answer

precalculus
1 x +1 y = 2 1 x +1 y = 3 1 1 2 1 1 3 subtract top one from this 1 1 2 0 0 1 oh my! 0x+0y=1 ?

College alegbra
I assume this does not mean the perimeter but the total length of fencing. I assume x is the length and there are 3 y fences P = 2 x + 3 y x y = 1500 so y = 1500/x then P = 2 x + 4500/x x P = 2 x^2 + 4500 2 x^2 - xP = -4500 x^2 -xP/2 = -2250 x^2 -xP/2 + P^2/16 = -2250 + P^2/16...

Calculus
the function climbs uphill 15 from -3 to +12 in its jaunt of +5 from -1 to +4 that means that somewhere in between there the slope of the function is slope = 15/5 = 3 so at some x = c between x = -1 and x=+4slope = f'(c) = 3 so a)

Physics
(1/2) m v^2 = m g h or use Bernoulli (1/2) rho v^2 + rho g h + P = constant here P = 1 atm on top of the tank and at the outflow so the two ways are the same v = sqrt (2 g h ), just like the water fell amount that comes out per second = Q = Area*v = pi r^2 v = pi*10^-4 v so Q...

Physics
F/m = 2/60

physics
a = F/1 = i + 2 j -2 k v = Vi + a t x = Xi + Vi t + (1/2)a t^2 v at 5 = i+0j+2k + 5i +10j -10k = 6i + 10j - 8k x at 5, well assume start at (0,0,0) x = 0 +(i+0j+2k)5 +(1/2)(i + 2 j -2 k)25 = 5i+0j+10k+(1/2)(25i+50j-50k) =17.5 i +25 j -15 k check my arithmetic !

Physics
yes, both in watts or Joules/second

Math
same as when tan = -1 which is when theta = 90+45 =135 = 3 pi/4 or when theta = 360 - 45 = 315 = 7 pi/4

Physics
m v^2/r = 50 * 64 / 8 = 400 m/s^2

Calculus AB
-(x^4 - 5 x^2 + 6) / (x +3^.5) -(x^2-3)(x^2-2) /(x+3^.5) OH LOOK! -(x-3^.5)(x+3^.5)(x^2-2)/(x+3^.5) = -(x-3^.5)(x^2-2) when x is -3^.5 = -(-2*3^.5)(1) = 2 sqrt 3 Now there is a limit and I am at it without you doing some.

Calculus
is x^(1/5) defined and continuous in that interval? (-1)^(1/5) = -1 etc, seems ok how about arc cos x that looks fine x/(x-3) woukld blow up at x = 3, but we do not go there so it is ok but Oh my, sqrt(-1) is imaginary! and is called i for want of a real number to use. It is a...

Integral Calculus
Height = sin x radius = (3 pi/2 -x) = r so dr=-dx d volume = sin x (2 pi r (-dr)) = 2 pi sin x (3pi/2-x)dx =2 pi(3pi/2) sin x dx - 2pixsin x dx = -3 pi^2 cos x - 2 pi [sinx-xcosx] = [-3 pi^2+2pix]cos x -2 pi sin x at pi - at 0 sin is 0 at both so cos pi = -1 so - [-3 pi^2+2pi^...

4. James attached a diagonal brace across a rectangular frame that measures 6 feet by 8 feet. What is the length of the diagonal brace? ~ 2 feet ~ 10 feet ~ 14 feet ~ 48 feet*** =================== 36+64 = 100 sqrt(100) = 10

ss
I am inclined to think you made the correct guess.

Math
Hmm be sure to put the numbers back in to check. a = 20 and c = 10 13 + 3 = 16

Math
a = 2 c a-7 + c-7 = 16 2 c + c - 14 = 16 3c = 30 c = 10

Math
x+35 + 5x-21 =180

CHEM 1301
H = 8/3 *12.2 = 32.5 12.2 + 32.5 = 44.7

cal
Good :)

cal
g = (x-1)/(2x+4) dg/dx = [(2x+4)-2(x-1)]/(2x+4)^2 at x = -1 dg/dx = m the slope = [(-2+4)-2(-2)]/(2)^2 = 6/4 = 3/2 and g = -2/2 = -1 so y = m x + b -1 = 3/2 (-1) + b b = 1/2 so y = (3/2) x + 1/2 or 2 y = 3 x + 1 check my arithmetic!

cal typo ?
g = x -.5 x + 4 did you mean x^2 maybe? or what?

Algebra
4 a + 5.5 c = 92 a + c = 20 4 a + 5.5 c = 92 4 a + 4 c = 80 ------------------subtract 0 + 1.5 c = 12 c = 8 etc

math
maximize .085 x + .068 y x+y <= 50,000 x>=6,000 x<=27,000 y<=34,650 x+y>=1 phony to fill fields I get \$3859 at (27000, 23000) ==================== http://www.wolframalpha.com/widget/widgetPopup.jsp?p=v&id=1e692c6f72587b2cbd3e7be018fd8960&title=Linear%...

cal
You are welcome.

cal
3 x^2 dx + 3 y^2 dy = 3 x dy + 3 y dx (y^2 -x)dy = -(x^2-y)dx dy/dx = - (x^2-y)/(y^2-x)

Math
56 = 2 * 28 = 2*2*14 = 2*2*2*7 can not have more than one 2 2*7 = 14

math
2 by 3/2

value
4/5 = .8

Math
+ C :)

Math
x - 6?xdx/( x^2+1) let z = x^2+1 dz = 2 x dx so x dx = (1/2)dz then x - 6?(1/2)dz/z x - 3 ln z x - 3 ln(x^2+1)

Math
?(x^2-6x+1)/(x^2+1) dx =?(x^2+1)dx/( x^2+1)-6?xdx/( x^2+1) = ?dx - 6?xdx/( x^2+1)

Portions and integers
Zero just gives you an arbitrary point on the number line to measure the other two points from. The fact that it happens to be the melting point of ice is irrelevant to this problem. -89 is colder than -39 -89 is LEFT of -39 on our number line -89 < -39 how much colder is ...

Not sure
skin, hair, nails the only thing listed that is related is the hand.

physics -- impossible
if r is the radius above earth center the speed is totally impossible. I suspect a typo

Huh initial height?
If the velocity is only 3 m/s at the bottom, no way it will go up 10 meters. Typo? Did you leave out an initial height?

math
2 x/5 + 35000 = 3 x/4 35000 = 15x/20 - 8x/20 = 7 x/20 5000 = x/20 x = 100,000

genetics - no idea
not my thing - need biology teacher

Physics
LOL valve straight down is stable (pendulum) valve straight up is unstable (balancing pencil on nose) I = mr^2 = 1.005(.36) (about .36) for angle x in radians, restoring moment is about .005*9.81 x r = .003*9.81 x oh well call g = 10 instead of 9.81 = .03 x .03x = -I alpha = -...

Algebra 2
74-m = m/2 + 11 63 = 3 m/2 m = 63*2/3 = 42 74 - 42 = 32

maths
yes

maths
250 - 80 = 170 girls (170/250)100 = ?

2
You can not row cotton profitably everywhere. You need the right soil and water conditions and preferably a large area of flat land. Rice in particular uses very different soil conditions, like wet. Virginia climate was very good for tobacco as was Ky and Tenn.

CHECK! LAST TIME MATH!
100% - 20% = 80% or .8 100% - 10% = 90%

CHECK! LAST TIME MATH!
call it 150 .8 *150 = 120 so yes .9 *120 = 108 so save about 42 total

math
15 is 1/4 of the way around to 60 min 360/4 = 90

Check It, Math
.06*5000 + .08*(10000-5000) = .14*5000 = 700

Math
5(0/10)+ 10/2=5

Interest Finite Math
huh? amount deposited = A Interest earned in 8 years on that is .05 * 8 * A = 1213 A = 1213/0.40

Physics
a 42*9.81 b 42*9.81 cos 34 c force down slope = 42*9.81 * sin 34 so a = 9.81 sin 34 d 3 = .5 (9.81*sin34) * t^2 t is answer to e v = a t = 9.81 sin 34 *t

Linear Algebra
or http://geomalgorithms.com/a02-_lines.html

math
3.25 * 360 = ?

Math
2 n/3 + 8 = 48

Social Studies
I do not see your map. However a major advantage for the North in the Civil War was that the North had a lot more rail transportation, even before Sherman went through.

y = -2 x -16 ???? you do not say what you want done

linear programming
did with linear programming, no need for simplex

The Simplex Method
164 at (8,12) http://www.wolframalpha.com/widget/widgetPopup.jsp?p=v&id=1e692c6f72587b2cbd3e7be018fd8960&title=Linear%20Programming%20Calculator&theme=blue max 10x+7y x+y<=20 x>=3 x<=8 x+y>=1 phony to fill all the blanks

Algebra2
(8^3)^x = 60 ?? 512^x = 60 x = log60/log512

algebra
looks like a letter V with the bottom on the y axis at -2 and slopes of 1 on the right and -1 on the left

social studies
Oh, sorry !

social studies
Van Buren was never president by the way.

Social Studies
I agree with you.

Social Studies
Well, it did not make slavery legal really in Massachusetts for example, but it said the owner could come get him which pretty much amounts to the same thing.

Social Studies
I guess, sort of.

Social studies
Even after they got here it happened google roger williams

College Algebra
2 ln (x-6) well I think x better be greater than 6

precalculus
(2x-1)/(x^2-1) = a/(x+1) + b/(x-1) 2x-1 = ax-a + bx + b 2 = a+b -1 = -a+b -----------add 1 = 2 b b = 1/2 a = 2-b = 3/2 so (3/2) / (x+1) + (1/2)/(x-1)

Math
(3 days/5 gal) * 60 gal = 36 days