Thursday
July 24, 2014

Posts by Damon


Total # Posts: 17,501

algebra 2
7^(1/5) = fifth root of 7

Science
It did not result. The force caused the acceleration ! F = m a F = 3000*20 = 60,000 N

Algebra
total females = 80+80+70 = 230 80 of those in humanities first 80/230 = .348

algebra
1/sin (7pi/6) 7 pi/6 is pi/6 or 30 degrees below -y axis in quadrant 3 so sin 7 pi/6 = -1/2 inverse is csc = -2

math
sketch it in quadrant 2 y = 1 x = -1 tan theta = y/x = -1

geometry
1 meter by 0.2 meter boards? area board = .2 m^2 area floor = 50 m^2 50/.2 = 500/2 = 250

Math
when does 4 x = 2 pi , a full circle ? x = 2 pi/4 = pi/2 the single amplitude is given, 3

Algebra
d^2 = (y2-y1)^2 + (x2-x1)^2 d^2 = 5^2 + 12^2 = 13^2 (5 12 13 right triangle) 13

math help
x = -7717/335 y = -36738/335 z= 16662/335

typo?
-3 ??? x ???? +13y+29z=81 and what do you want? A solution using Gauss Jordan ? If so go to: http://www.gregthatcher.com/Mathematics/GaussJordan.aspx

algebra 1
multiply both sides by -1 This changes the direction of the arrow 2 x/7 + 8 < 9 2 x/7 < 1 2 x < 7 x < 3.5

math help
Just told you, 4/5

math help
sin R = 3/5 = r/s t^2 = 5^2 - 3^2 = 25 - 9 = 16 so t = 4 tan T = t/s = 4/5

Algebra 2
ten scores in order: 81 81 82 84 85 86 89 93 94 95 sum = 870 mean = 870/10 = 87 median 85.5 (5 above, 5 under) mode = 81 (there are two of them)

algebra1
LOL - Yes, I suppose.

algebra1
******** -6 x^2 + 4 x + 3 ********____________________________ (3x+2) | -18 x^3 + 0 x^2 + 17 x + 6 *********-18 x^3 -12 x^2 *****************12 x^2 + 17 x + 6 *****************12 x^2 + 8 x *************************9 x + 6 *************************9 x + 6 remainder = 0 ========...

Algebra 2
area bulls eye = pi (6^2) total area = pi (16)^2 6^2/16^2 = 2^2*3^2 /2^8 = 9/2^6 = 9/64 = .140625

Algebra/can you explain how this is set up
150 * 150 * 150 ------ P1 times or log x = P1 log 150 using for example ten base then x = 10^log x

Math help
1, 2, 3, 4, 5, 6 p greater than 2 = 4/6 = 2/3 p 2 or smaller and prime = 2/6 = 1/3 2/3 + 1/3 = 1 every single side of the cube is either greater than 2 or prime (two and one) so you simply will get the desired result in 100% of your rolls :)

Algebra
combinations of 10 three at a time = 10!/ [ 3! (10-3)! ] = 10 * 9 * 8 *7* .......1 /[3*2(7*....1) ] = 10 * 3 * 4 = 120 or look up binary coefficient (10,3) = 120 or look at Pascal's triangle row 10, element 3 (the eleventh row, fourth element really since zero counts) agai...

Science
Note from wikioedia: Uranium-238 - Wikipedia, the free encyclopedia en.wikipedia.org/wiki/Uranium-238 Wikipedia Jump to Radioactivity and decay - [edit]. 238U radiates alpha-particles and decays **** (by way of thorium-234 ****** and protactinium-234) into uranium-234. 234U ...

Science
U238 for example has 92 protons and therefore 146 neutrons It loses an alpha particle which is a helium nucleus, 2 protons and 2 neutrons so NOW we have an element with 92 - 2 = 90 protons 238 - 4 = 234 atomic mass ignoring E = mc^2 What has 90 protons? Th Thorium 232 is usual...

math
33/77 , 21/77 , 7/11 Now which is big and which is small ?

Social Studies
Gee, remarkable. You are welcome :)

Social Studies
1 yes 2 yes 3 yes !!! 4 yes 5 I think d because of shape of Mexico city valley between mountains 6 yes 7 yes 8 yes 9 yes

Algebra 2
I still do not have any idea what the question is.

Algebra 2
| 3 2 5 | |B11 B12 B13| |5| | 2 -1 8|+|B21 B22 B23|=|0| | 4 7 -3| |B31 B32 B33| |3| Is that what you mean ??? or what ?

Algebra 2
Are they matrices? is A square and C a column?

Algebra 2
Sorry, I don't get it. Is A a square matrix and B and C columns or what? do you mean A * B or A + B ???

Algebra 2
|+3 +2 -5 | |x| |20| |+5 -10 8 |*|y|=|17| |-8 +11 -2| |z| |29| to solve: http://www.gregthatcher.com/Mathematics/GaussJordan.aspx

CHEMISTRY
22.4 liters/mole for perfect gas at STP C + O2 --> CO2 46 g of C which is 12 grams/mole so we need 46/12 = 3.83 moles of carbon and 3.83 moles of O2 3.83 * 22.4 = 86 liters

Math Help? Check my answers.
4. Write the expression using a single exponent. 2^2 • 2^8 Oh my ! a^x * a^y = a^(x+y) !!!!! 2^2 * 2^8 = 2^(2+8) which is 2^10

Math Help? Check my answers.
3. ***** -7x***** - 5x^2 + 5, what is the coefficient of x -7x so -7 is coef of x !!!

Math Help? Check my answers.
2. 6x^4 + 3x^3 - 2x^2 + 15x - 14 one ,,, two,,,three,,four, five

Math Help? Check my answers.
2. disagree 3. disagree 4. disagree 5. disagree sort of. A works but 10*10^7 is usually written 1 * 10^8 which is C

Algebra 2
For heavens sake look up the definition of these terms instead of guessing !!!

Physics
b) w = 2 pi/T = sqrt (k/m) (2 pi)^2 /T^2 = k/m k = 2 (2 pi)^2/ 1.8^2 = 24.4 n/m (I do not know how you got the same answer) !!!! c) when it is stopped at x = .08 meters, all the energy is potential (1/2) k x^2 (1/2)(24.4) (.08)^2 = .0781 Joules d) Ke = .0781 Joules = (1/2)mv^2...

algebra/have no idea how to do this one
That is what I did Mary Ann I use r = interest rate/number of payments in a year so your n t is my n and your r/n is my r and my n is 40 *12, your n t

algebra/have no idea how to do this one
are we doing amount of an annuity here? here? If so: A = payment [ (1+r)^n -1 ]/r r is interest PER PERIOD = .08/12 = .006667 n is number of periods = 40*12 = 480 months payment = 150 A = 150 [1.006667^480 -1 ] / .006667 A = 150(23.27339)/.006667 A = $ 523,624.99

math
Try tessellating a circle.

Calculus
Ah hah, a real calculus problem :) dV/dt = - k V dV/V = -k dt ln V = -k t + C e^ln V = V = e^(-kt+C) = c e^-kt so here at t = 0 e^0 = 1 so V = c = 70,000 and V = 70,000 e^-kt now when t = 10/12 years, V = 22,222 22,222 = 70,000 e^-k(.83333) ln (22,222/70,000) = - .83333 k -1.1...

Calc
total lift if you release water to the atmosphere .5 meter up at the pump = .5 + .75 meters = 1.25 meters total mass = 1000kg/m^3 * 50*25*1.5 = 1.875 *10^6 kg total weight = m g = 9.81*1.875*10^6 = 1.84*10^7 Newtons total work done = weight * distance = 1.84*10^7 *1.25 = 2.23 ...

Calc
The same. You have to lift the center of mass of the water up to the pump either way. Of course if you attach a tight hose to the outlet you save lifting a half meter by releasing the water at ground level rather than .5 meter up.

Calculus
See the reply to the question above this one from "Jen". Find the mass and m*g, the center of mass, and how far you lift the center of mass. In all these questions if you lower the outlet with a tight outlet hose you can siphon the water out without doing any work at...

Calculus
In your earlier question you did not "factor out" the log function. you (or Reiny) said if log x = log y then x = y

Calculus
Not calculus. algebra .08/4 = .02 per quarter n = number of quarter years 15825 = 4500 (1.02)^n log (15825/4500) = n log 1.02 .546131 = n log 1.02 n = 63.5 quarter years so 63.5 /4 = 15.88

Need help with pre cal hw
LOL, physicist / mathematician again.

Need help with pre cal hw
note 160 = south - 20 North distance = 8 cos 30 - 6 cos 20 East distance = 8 sin 20 + 6 sin 20 distance = sqrt (North^2 + east^2) 2. call it 132 = south - 48 north distance=-61.1cos 48 +76.5sin 36.5 east distance =61.1sin48 +76.5cos 36.5 tan theta = north/east

Physics
How far does it go in 30 seconds (1/2 minute)? (1/2)min * 1 hr/60 min *120,000 m/hr = 1000 meters 360/20 = 18 the circumference of the turn = 18,000 meters 2 pi r = 18,000 r = 2865 meters Ac = v^2/r = (120,000/3600)^2 / 2865 = .388 m/s Check my arithmetic !! usually plane bank...

HELP PLEASE !!
b a

algebra/I appreciate your help
.055/4 = .01375 per quarter 3 * 4 = 12 quarters 625 * 1.01375^12 = 736.29

Calculus
You are NOT factoring it out You are saying that if log x = log y then x = y

Physics
Max force at bottom = 20 = m v^2/r + m g 20/.25 = v^2/1.2 + 9.81 v^2 = 70.19 *1.2 = 84.2 v = 9.17 m/s

Physics
ax = 5 m/s^2 ay = 8 m/s^2 vx = Vi + ax t = 5 + 5 t vy = 0 + ay t = 8 t x = Xi + Vi t +(1/2) ax t^2 x = 0 + 5 t + (1/2)5 t^2 y = 0 + 0 t + (1/2)8 t^2 at t = 2 x = 0 + 10 +2.5(4) = 20 y = 0 + 0 + 4 (4) = 16

Algebra 1
when x = 0, undefined (very big to the right, very negative to the left of origin) when x = 1, y = 2 when x = -1, y = -2 when x = 2, y = 1 when x = -2, y = -1 when x = 5218575, y is very close to x axis above it when x = -5218575, y is very close to the x axis under it.

Physics
You are welcome.

Physics
Maybe in c you mean what is the velocity angle to the x direction at t = 1 ??? dx/dt = 4 dy/dt = 3-2 = 1 tan^-1 (1/4) = 14.03 degrees

error - sorry
|V| = sqrt (16+4) = 4.47 m/s theta = tan^-1 -2/4 = -26.6 degrees

Physics
dx/dt = 4 dy/dt = 3 t -2 so at t = 0 V = 4 i - 2 j |V| = sqrt (16+9) = 5 m/s theta = tan^-1 -2/4 = -26.6 degrees b) Ax = 0 Ay = 3 m/s^2 c) is a typo I think.

physics
angular velocity constant = omega = 2 pi radians/3600 seconds tip speed is also constant = omega * r

physics
d is diameter of circle :) C = pi d t = pi d/v

physics
v = sqrt (2 g h) u = 14.4 so |V|= sqrt(u^2+v^2) = sqrt (2 g h + 14.4^2)

physic
twice

pre algebra
SKETCH A GRAPH !! Always note symmetric about x = 0 note hits bottom at (0,-20) (so that is the vertex) so (y +20) = a x^2 at (10,80) 100 = a(100) a = 1 so I claim x^2 = y + 20

algebra
(m-1) or (1-m) 7 - m + 1 = 3 or 7 -1 + m = 3 m = 5 or m = -3 check if m = 5 |m-1| = 4 4 = 4 good if m = -3 |m-1| = 4 good

Math - Int Trig
for every a+bi there is a a-bi solution (x-2i)(x+2i)(x-3i)(x+3i) = 0 (x^2 +4)(x^2+9) = 0 x^4 + 13 x^2 + 36 = 0 ================= (x-i)(x+i)(x+10) = 0 etc

Precalculus
2 x^2 + 4 x = y^2 - 4 y +4 2 x^2 + 4 x = (y-2)^2 x^2 + 2 x - (1/2) (y-2)^2 = 0 x^2 + 2 x + 1 - (1/2) (y-2)^2 = 1 (x+1)^2 - (y-2)^2/(sqrt 2)^2 = 1 Hyperbola, you look up the stuff for it.

math
when x = 0, y = 3 so make a point (0,3) when y = 0, x = -1 so make a point (-1,0) the line goes through those two points and off into the distance left and right

Science
sorry, typo 1.5 * 63 Joules

Science
4.5 * 63 Joules

Algebra 1 Answer Evaluation
Yes, the only solutions to the first problem are the imaginary numbers +/- i sqrt 7 where i is the sqrt of NEGATVE one

Algebra 1 Answer Evaluation
x^2 + 0 x + 7 = 0 x = [ 0 +/- sqrt(-28) ]/2 x = +/- 2 sqrt -7/2 x = +/- sqrt(-7) or +/- i sqrt 7 ================================= x^2 - 0 x -16 = 0 x = [ 0 + /- sqrt (0 +4*16) ]/2 x = +/- 2*4/2 x = +/- 4 what else is new :)

math
position = speed * time + initial position or d = s t + di 90 = s (2) + di 135 = s(3) +di subtract 45 = 3 s - 2 s = s and 135 = 45(3) + di or di = 0 so in the end d = 45 t check that for example does 270 = 45(6) ???

math
-4 = (1/4) (0) + b b = -4 y = (1/4) x -4 or 4 y = x - 16 graph that line

math
(-2 - 2) / (4-6) -4 / -2 2

trig
sin 15 = 135/ hypotenuse tan 15 = 135/d along ground

Calculus answer check
s = .7 t^2 ds/dt = v = 1.4 t 4 = 1.4 t t = 4/1.4 = 2.86 seconds It asked for t given v = 4 m/s

maths
(p-7)(p+6)

Pre - Cal
start at the middle up 4 end up 20 (16 above middle y = kx^2 16 = k(40)^2 16 = k (4)^2(10^2) 1 = 100 k k = .01 so , adding the 4 at the middle y = 4 + .01 x^2 at x = 20 y = 4 + .01 (4)(100) = 8

Pre - Cal
(x+3)^2 = a(y-1) (4+3)^2 = a (-5-1) 49 = -6 a a = -49/6 x^2 + 6 x + 9 = -49/6 (y-1) x^2 + 6 x + 54/6 = - 49 y/6 + 49/6 x^2 + 6 x - 5/6 = -49 y/6 6 x^2 + 36 - 5 = -49 y

Pre - Cal
4y^2+4y-16x=0 y^2 + y = 4 x y^2 + y + 1/4 = 4 (x + 1/16) (y+1/2)^2 = 4 (x+16) vertex at (-16 , -1/2)

Calculus
integral f(t) dt from 5 to 7 sin 7 - sin 5 = .657 - .959 = -.30 if angle is in radians or .121 - .087 = .0347 if angle is in degrees I suspect you left a pi out or something.

English
d cautionary is correct

Help math only 1 question easy!
3 * 2 * 1 = 6

physics
distance = speed * time wavelength = speed * period = speed / frequency = 3 * 10^8 m/s / 76 = 3.95 * 10^6 meters = 3950 km Either you have a typo or you are talking about a super low frequency system that is used to communicate with submarines underwater. It is 360 degrees aro...

Physics
7 m/s * 3600 s/hr /1000 m/km = 25.2 km/hr which is about 15 miles/hour 10m/s = 36 km/hr which is about 22 miles/hour If you are really, really fast you might run 100 meters in around 10 seconds :) I am sure you can think of something :)

Algebra
-10 (x^3 - 3 x + 2) /[-5(x-1)] 2 (x^3 - 3 x + 2) / (x-1) 2 (x^2+x-2)(x-1)/(x-1) 2 x^2 + 2 x -4

pre calculus
Vx = 1200 cos 6 Vy = 1200 sin 6 |V| = sqrt (Vx^2 + Vy^2)

maths
18 - 24 j 9 - 8 j

maths
That is not an equation.

maths
[(x+a)(x+b)] / [(x+a)(x+a)] = (x+b)/(x+a)

math?
82 - 5(15) = 82 - 75 = 7

AP Physics B
4.2 * heat of fusion of water 4.2 * 79.5 kcal/kg = 334 kCal

maths
I have no idea. You did not say how much he spent total.

physics
The net horizontal force is 35 -2.9 = 32.1 N

Calculus
if dP/dx = x e^-x^2 then p = -(1/2)e^-x^2 + C 15,000 = -.5 /e + C agree so C = 15,000 + .1839 = 15,000.1839 so p = -(1/2)e^-x^2 + 15,000.18

Physics/Calculus
f = -k x 21714 = k (3) W = (1/2) k x^2 do for x = 1/2 inch then for 1 inch and subtract the half inch result

Calculus
work = integral w dz w = 4.5 (180-z) so work = integral from z = 0 to z = 180 of 4.5 (180-z)dz = 4.5*180 (180) - 4.5 (1/2)(180)^2 = (1/2)(4.5)(180)(180) or half the weight over the whole distance of course :)

Physics
half the weight times the distance

Physics
twice as far (1/2) k x^2 where k = force/distance

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