Saturday
August 29, 2015

Posts by Damon


Total # Posts: 21,799

Math
x = log5 (27) 5^x =27 = 3^3 log3 (3^3) = log3 (5^x) 3 log 3 (3) = x log3 (5) but log 3 (3) = 1 so 3 = x log3 (5) log3 (5) = 3/x and y = log3 (5) so y = 3/x x y = 3
December 15, 2014

physics
V = omega r = 255 (.320) 382 = (1/2)V t because distance = average speed time time if a is constant solve that for t t = 764 / V 382 = (1/2) a t^2 solve for a, LINEAR aceleration alpha = angular acceleration = a/r
December 15, 2014

physics
mu m g = 88 = m g mu = 88/(32.1*9.81)
December 15, 2014

algebra
no solution 15 y = 15 y + constant
December 15, 2014

astronomy
Well, if it is a pine forest I suppose you are somewhere around 42 degrees north latitude Take a guess at 22 degrees south declination at Dec 22 add your latitude to that for example if 42 degrees north latitude the sun is 42 + 22 = 62 degrees below straight up at noon on the ...
December 15, 2014

algebra
anything except 1/0 times 0 is 0
December 15, 2014

math
when you eat half of something you multiply by 1/2 (which is the same as dividing by two)
December 14, 2014

physics
m1 = 428/9.81 m2 =195/9.81 195 - T = m2 a T = m1 a so 195 - m1 a = m2 a a = 195 /(m1+m2) which we should have said without doing all that
December 14, 2014

physics
a/g = .258 because mu m g = m a
December 14, 2014

physics
h = 6.52/sin 19.8 loss of potential E = m g h (1/2) m v^2 = m g h + (1/2) m (2.24)^2 m cancels v^2 = 2 g h + 2.24^2
December 14, 2014

calc urgent
It lies on the 45 degree line by symmetry so all we need to do is find the y coordinate, the mass does not matter, only uniform density call it 1 mass = 1/4 pi (1)^ 2 = pi/4 divide moment by this in the end moment about x axis of strip at y of width dy = y (x dy) integrate ...
December 14, 2014

algebra
let z = x^2 -3 z^2 + 27 z + 1200 = 0 divide by -3 z^2 - 9 z - 400 = 0 (z-25)(z+16) = 0 z = 25 ---> x = 5 or -5 z = -16 --> x = 4 i or -4i
December 14, 2014

math
100 (572-498)/498
December 14, 2014

Math
2*2*2*11 http://www.mathwarehouse.com/arithmetic/numbers/prime-number/prime-factorization.php?number=44
December 14, 2014

gen chem
1.38*10^3 I assume one mol Fe3O4 for every 4 mol H2 1380/4 = 345 mols of Ferric oxide 345 * (3*56+4*16) grams
December 14, 2014

Social Studies
Most say c.
December 14, 2014

Algebra
Vdownwind = v + 5 Vupwind = v - 5 5600 = (v+5) t 5600 = (v-5)(t+10) so 5600 = v t + 5 t 5650 = v t + 10 v -5 t ================ -50 = 0 +10 t -10 v or t = v-5 go back up 5600 =(v+5)(v-5) = v^2 - 25 v^2 = 5625 v = 75
December 14, 2014

Math
32 = 2^5 1 we can have 32 in a row 2 or 16*2 3 or 8 * 4 4 or 4 * 8 5 or 2 * 16 6 or 1 * 32 now of course different items can go in each of those spaces but that gives you an awful lot of choices.
December 14, 2014

math
K + ( K- 15 ) = 99 2 K = 99 + 15 = 114 K = 57
December 14, 2014

chem
AREA is NOT in cm^3 but in cm^2 Should I trust the rest of what you tyoed? Oh well 3 * 10^-6 meters(10^2 cm/m) = 3*10^-4 cm 3*10^-4 * .55*10^2 = 1.65*10^-2 cm^3 19.3 g/cm^3 * 1.65*10^-2 cm^3 = .318 g
December 14, 2014

question
yes, think so
December 14, 2014

question
Is it your fate to respond again, or is it your choice?
December 14, 2014

question
You are doing so right now.
December 14, 2014

math
to convert units, always multiply by something/the same thing in other units. For example there are ten gophs in one bork 10 gophs/ 1 bork is the same top and bottom so if I multiply by that or its inverse I change nothing. so if I have 15 borks and want to express that in ...
December 14, 2014

Sixth Grade Math
(1/4)^2 = (1/4)(1/4) = 1/16 (1/4)^3 = (1/4)(1/4)(1/4) = 1/64 etc
December 14, 2014

Sixth Grade Math
1/16 <1/4
December 14, 2014

Sixth Grade Math
2(55) + 2(88) + 2(40)
December 14, 2014

Math Question
25 + 64 = 79 = hypotenuse^2 in quadrant 2 and quadrant 4 because sin is - sin = 8/sqrt79 or -8/sqrt 79 cos = -5/sqrt 79 o 5/sqrt 79 etc, draw pictre
December 14, 2014

Math
35 (pi/180) 250 (pi/180)
December 14, 2014

algebra 2
2. 36 -4(9) = 36 -36 = 0 so repeated real root [ 6 +/- 0 ] / 18 = 1/3 and 1/3 (same, parabola just touches the x axis)
December 14, 2014

algebra 2
p^2 + 12 p + 4 = 0 b^2-4ac = 144 -16 = 128 positive so there will be two real roots [ -12 +/- sqrt(128) ] / 2
December 14, 2014

algebra 2
(b/2)^2 always :)
December 13, 2014

Math
amazing - it got the same thing I did :)
December 13, 2014

Math
here is the link Steve is sending you to (I went and looked( http://calc101.com/webMathematica/long-multiply.jsp
December 13, 2014

Math
(3x-7)(4x+3) = 12 x^2 -19 x - 21 now use distributive property 2x (12 x^2 -19 x - 21) -1 (12 x^2 -19 x - 21) = 24 x^3 - 38 x^2 - 42 x _________- 12 x^2 + 19 x + 21 =============================== = 24 x^3 - 50 x^2 - 23 x + 21
December 13, 2014

Math
slope = (y-5)/(x-2) = (0-5)/(3-2) = -5/1 or y - 5 = -5 (x-2) =========================== huh, it says the answer right in the sentence y = 10.5 x + 65
December 13, 2014

physics
P V = n R T
December 13, 2014

physics
delta L/34 = coef of expansion * delta T
December 13, 2014

physics
Force * time = change of momentum = 125 * 33 often called impulse Why on earth would a baseball player push on a baseball for 33 seconds? Is that a typo?
December 13, 2014

math
4 5 or 6 p(passed) = .6 p(failed) = .4 Binomial distribution for example for 4 of 6 passed C(6,4) .6^4 .4^2 C(6,4) = 6!/[ 4!(2!)] = 6*5/2 = 15 15 * .6^4*.4^2 = .311 do that also for 6,5 and for 6,6 and add those three results
December 13, 2014

math
I am going to assume that you mean [ (n^2-4)/(n^2-2n) ] * n/(n^2+10n+16 ) Immediately you can see that n = 0 and n = 2 are excluded from the domain, also if n^2+10 n + 16 = 0 which is if n = -2 or -8 now [(n-2)(n+2)/n(n-2)] *n /[(n+2)(n+8)] = 1/(n+8)
December 13, 2014

precalculus
if a denominator is zero, you have a vertical asymptote (look at 14 as x becomes 2) if the function becomes constant you have a horizontal. look at 14 as x gets big positive and as x gets big negative
December 13, 2014

math
14 1/3 = (14*3+1)/3 = 43/3 and 43/3 = 86/6 so 86 sixths
December 13, 2014

History
agree
December 13, 2014

Algebra
1 , x^2 , 9 x^2 - 1 = d -x^2 + 9 = d --------------- 0 + 8 = 2 d d = 4 so 1 , 5 , 9 x = sqrt(5)
December 13, 2014

Geometry
Remember anything with a pointy top and straight sides has volume of base area times height times (1/3) V = (1/3) pi r^2 h
December 13, 2014

math
10 h >/= 55 so h >/= 5.5 the top one, assuming she runs an average speed for the week :)
December 13, 2014

Algebra
a , a+d, a+2d ..... a+(n-1)d or an = a +(n-1)d a5 = a + 4 (1) = 11 so a = 7 7 * 8 = 64-8 :)
December 13, 2014

algebra
It is certainly off. Perhaps it means -16 t^2 + zero initial speed up + 34 feet high but it is impossible to be certain. Good luck. The only thing you can be sure of there is -16 t^2
December 13, 2014

typo
no way On earth in the ancient feet, inches, slugs, seconds system h = Hi + Vi t - 16 t^2 please get it right so someone can answer
December 13, 2014

math
Google says 5.6 lb/gal = oz/gal yields 5.6 lb/gal = 89.6 oz/gal which is what happens if you have 16 oz/ lb 16 *5.6 = 89.6
December 13, 2014

statistics
I suppose you would use the mean but a mean of 3.8 with a standard deviation of 17.4 is pretty strange. in general this is handy: http://davidmlane.com/hyperstat/z_table.html
December 13, 2014

Physics
distance = speed time time so wavelength = speed of sound * period T but f = 1/T so wavelength = speed of sound / f f = speed /wavelength look up speed of sound at 20 C in your book (different tables available)
December 13, 2014

Geography
Oh, thanks, I thought she maybe meant the waterfall looked like Abraham Lincoln with a full moon and therefore did not reply.
December 13, 2014

Reiny or Steve can you help ?
I can not.
December 13, 2014

Algebra
n</= 2t+3 ??? is that not any n equal to or greater than -3
December 13, 2014

Physics
You are welcome.
December 13, 2014

Physics
.05 m on a side volume = .05^3 = 125 * 10^-6 m^3 mass of water displaced = 10^3 kg/m^3 * 125*10^-6 m^3 = .125 kg Archimedes says force up = weight of water displaced g = 10 m/s^2 so m g = 1.25 Newtons
December 13, 2014

scholarship 7th std
try dividing 56324 by 12 then 54324 and get 4527 exact so 4
December 13, 2014

algebra 2
4 x^2 + 4 x - 15 = 0 x = [ -4 +/- sqrt(256) ]/8 = [ -4 +/- 16] / 8 =12/8 or 20/8 = 3/2 or -5/2 or (2x-3)(2x+5) = 0
December 13, 2014

Algebra
|a-b| = 20 - |b-c|-|c-a| If b>c and c>a |a-b| = 20 - b + c - c + a =20+(a-b) if a>b then a-b = 20 + a-b and a-b = 0 if a < b then b-a = 20 -b+a 2b-2a = 20 |a-b| = 10 try others but I think you will find 10
December 13, 2014

science
anything that is different at one end like F or A
December 13, 2014

math
+i +j +k +1 -2 -1 +3 -1 +1 ================== cross product (-3)i + (-4)j + (+5)k so yes V = -3 i - 4 j + 5 k opposite to that is also parallel +3 i + 4 j -5 k add any old point to that and it is still parallel
December 13, 2014

Science
Hey, really, in one sentence? This might help: https://www.caymanchem.com/app/template/chemAssistant,Tool.vm/itemid/4001
December 13, 2014

math
geometric series a + a r + a r^2 + a r^3 ... a r^10 a =19,000 r = 1.04 S = a (1-r^n)/(1-r)
December 13, 2014

no idea
I do not know what your question is? do you want the variation sigma^2 of that data set or something?
December 13, 2014

Algebra 1
It is always negative or 0 it is a straight line with slope of -1 It is -4 when x = 0 it is 0 when x = 4
December 13, 2014

statistics
http://davidmlane.com/hyperstat/z_table.html
December 13, 2014

art
Make an educated guess. I am sure you will be correct. http://www.pbs.org/faithandreason/gengloss/enlight-body.html
December 12, 2014

algebra
complete the square to find the vertex if you do not know calculus 16 t^2 -32 t -48 = -h t^2 - 2 t - 3 = -h/16 t^2 - 2 t = -h/16 + 3 t^2 - 2 t + 1 = -h/16 + 4 = -1/16(h-64) (t-1)^2 = -(1/16) (h-64) max height is vertex at t = 1 second and h = 64 ft c) t^2 - 2 t - 3 = 0 (t-3)(t...
December 12, 2014

physics 1
Yes, but be sure to use distances in meters not cm (1.61 meters apart)
December 12, 2014

Physics
Use conservation of momentum to get initial speed of bullet/block system (m+M)V = m v so V =mv/(m+M) calculate (1/2) (m+M) V^2 then (m+M) g h = (1/2) (m+M)V^2 calculate V then go back to v = (m+M)V/m
December 12, 2014

Math
You are looking for the sum of the series? r (not d usually, that is for arithmetic) = 3 not 1/3 a = 1/27 1/27 * 3 = 1/9 1/9 * 3 = 1/3 etc then for sum of first n terms a(1-r^n)/( 1-r ) If so, yes that is for the first n terms but watch out. If you want the sum for an infinite...
December 12, 2014

Math
sister has 2 n yes boy has arithmetic sequence a1 = 2 d = 2 an = a1 + (n-1) d = 2 + (n-1)2 or an = 2n sum from n = 1 to n = n S = (n/2)(a1+an) = (n/2 )(2 + 2n) S = n + n^2 you got twice as many somehow
December 12, 2014

correction
The formulas are for the END of the year so do it for 14 years, then add that 15th deposit of 3150 (tricky wording)
December 12, 2014

Math Check!!
You get e^rt for EACH deposit for its time t 3150 [ e^14(.04) + e^13(.04) + ....e^.04] I am sorry I do not know an easy way to do that
December 12, 2014

Math Check!!
sorry, no. Your formulas are for ONE deposit at the start, not for annual deposits. Look up "amount of a sinking fund" S = 3150[ 1.04^n - 1 ] /.04
December 12, 2014

calculous (check)
By the way, on earth I think it travels 16, not 13 feet with no air resistance in the first second and d = 32, not 26 but perhaps your book is on another planet.
December 12, 2014

calculous (check)
in general an = a 1 + (n-1) d so I think f(n) = 13 + (n-1)26 that is how far it falls DURING second number n now I bet F(n) is the total distance fallen which should approximate d = 16 t^2 if we are talking feet and seconds and g = 32 ft/s^2 that is the sum of our sequence ...
December 12, 2014

Math
3937.44
December 12, 2014

physics
Glad that is settled :)
December 12, 2014

magic
How on earth would I know what this problem is asking for? Is the floor tilted? Is someone pushing? Is there a spring involved somewhere with constant k Newtons/meter ?
December 12, 2014

Algebra
by the way I would call 1994 x = 0 1996 x = 2, 1998 x = 4 , 2000 x = 6, 2001 x = 7, 2004 x = 10 then add 1994 to t at the end.
December 12, 2014

Algebra
http://www.xuru.org/rt/pr.asp you need fifth degree a x^5 + b x^4 etc to go through all the six points but can use fourth all right and get a least square fit.
December 12, 2014

physics
y component = -185 x component = -60 speed = sqrt(185^2 + 60^2) tan angle south of west = 185/60 angle south of west = 72 72+180 = 252 in math convention counterclockwise from +x axis 270-72 = 198 in navigation convention clockwise from north (about SSW)
December 12, 2014

algebra parenthess needed
(5/3) x or 5x/3 ??????? or maybe you mean 5 /(3x+3)
December 12, 2014

science
water to ice
December 12, 2014

science
air is about 80% Nitrogen and 20% Oxygen both of which are matter. guess again 3) volume is correct 4) is correct although actually chemical bonds are electrical in the end.
December 12, 2014

algebra
3 v + (1/2) y = 40 half is half, not twice
December 12, 2014

Science
seems to be pretty ductile.
December 12, 2014

math
18 = 3*3*2 15 = 3*5 LCM = 3*3*2*5 = 90 minutes so 1:30
December 12, 2014

Math
juice + bottle = 2.00 or j + b = 2.00 j - b = 1.50 ===============subtract 0 + 2 b = .50 b = .25
December 12, 2014

Chemistry
55+ 273 = 328 K He = 4 g/mol so we have 10 moles P1V1/(n1 T1) = P2V2/(n2 T2) 22.4/273 = 1.05 V2/(10*328) V2 = 269 dm^3 side of cube = 6.48 dm = 64.8 cm or 0.648 m
December 12, 2014

Chemistry
at STP 1 mol is 22.4 liters n = P V/R T 1 = 1*22.4 /R(273) R = 22.4/273 Now our problem 1 = 1 * 18.2 *273/ (22.4)K K = 222 222-273 = - 51 deg C
December 12, 2014

Algebra
or y = (11/4) x - 8
December 12, 2014

Algebra
yes
December 12, 2014

Algebra
y = (9/7) x + 1
December 12, 2014

Algebra
9 x - 7 y = -7
December 12, 2014

Algebra
Only if you really mean y = (9/7) x + 1 or in other words y = 9x/7 + 1
December 12, 2014

math
yes
December 12, 2014

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