Sunday
April 20, 2014

Posts by henry


Total # Posts: 8,521

physics
a. Vo = 14m/s[45o] Xo = 14*cos45 = 9.9 m/s. Yo = 14*sin45 = 9.9 m/s. Y = Yo + g*t = 0 Tr=Yo/g = 9.9/9.8 = 1.01 s. = Rise time. hmax = ho + Yo*t + 0.5g*t^2 hmax=2.16 + 9.9*1.01 - 4.9*1.01^2=7.16m Above gnd. h = 0.5g*t^2 = 7.16 4.9t^2 = 7.16 t^2 = 1.46 Tf = 1.21 s. = Fall time. ...

Physics
2.80km[35o] X = 2.80*cos35 = 2.29 km Y = 2.80*sin35 = 1.61 km dmin = 2.29 + 1.61 = 3.9 km

Physics
1. Check calculations and have another person check it also. 2. Check Power supply voltage. 3. Remove all resistors from circuit and check them individually. 4. Make sure circuit is wired correctly.

business math
80 * 3.50 =

business math
0.75*P = 2484 P = $3312.

Physics
h = 0.5g*t1^2 = 20 m. 4.9*t1^2 = 20 t1^2 = 4.08 t1 = 2.02 s. d = r * t2 = 4.6 m. 1.6t2 = 4.6 t2 = 2.9 s. T = t1 + t2 = 2.02 + 2.9 = 4.92 s.

Physics
Vr = -10 + 20 = 10 km, East.

physics
See previous post.

physics
h1 = Vo*t + 0.5g*t^2 h1 = 16*0.65 - 4.9*0.65^2 = 8.33 m. Head start. V1 = Vo + g*t = 16 - 9.8*0.65=9.63 m/s. h2 = Vo*t + 0.5g*t^2=8.33+V1*t+0.5g*t^2 27*t - 4.9t^2 = 8.33 + 9.63t - 4.9t^2 27t - 9.63t - 4.9t^2 + 4.9t^2 = 8.33 17.37t = 8.33 t = 0.48 s. h = 27*0.48 - 4.9*0.48^2 = ...

Math term definitions
See your previous post.

physics
m*g = 15,400 N. m = 15400/g = 15400/9.8 = 1540.4 kg Fr = -2000 + 4000[120o] X = -2000 + 4000*cos120 = -4000 N. Y = 4000*sin120 = 3464 N. tan Ar = Y/X = 3464/-4000 = -0.86603 Ar = -40.9o = Reference angle. A = -40.9 + 180 = 139.1o CCW = 49.1o W. of N. Fr = Y/sinA = 3464/sin139...

Math Definitions
See previous post.

Math Please Urgent
See your previous post: Wed,9-18-13,8:04 PM.

Math definitions
1. A perfect cube. Example: 125 = 5*5*5. 2. A perfect square. Example: 36 = 6*6. 3. 1*sqrt (4) 4. 8*sqrt(4)

Math
((1/4)^-3/(1/4)^2)^-2 = ((1/4)^-5)^-2 = (1/4)^10 = 9.54*10^-7 (3^1/2)^3 = 3^(3/2) = 5.196. -56r^2/-7r^2 = 8. x*y*x*2y = 2X^2Y^2 3600X^4Y^6. sqrt(16*10^4) = 4*10^2 = 400. sqrt means Square root. sqrt(0.04) = sqrt(4*10^-2) = 2*10^-1 = 0.20 3*sqrt(81) = 3*9 = 27 sqrt(900) = sqrt(...

Physics
F = m*a

physics
a. d = Xo * t = 2.75m/s * 0.866s=2.38 m. b, d=0.5g*t^2 = 4.9*(0.866)^2 = 3.67 m. c. d = 0.5g*t^2 = 10 m. 4.9t^2 = 10 t^2 = 2.04 Tf = 1.428 s. = Fall time. D = Xo * Tf = 2.75 * 1.428 = 3.93 m.

pressure
To = (2.7/1.75) * 25C = 38.57oC

Physics
h = 0.5g*t^2 = 44 m. 4.9t^2 = 44 t^2 = 8.98 t = 3 s. = Time in flight. Range = Vo*cos10 * t = 109 m. Vo*cos10 * 3 = 109 Vo = 109/3*cos10 = 36.9 m/s[10o]

Business Math
I = 2600-2000 = $600 I = Po*(0.06/360)*t = 600 2000*(0.06/360)*t = 600 0.333t = 600 t = 1800 Days = 5 yrs(Assuming 360 days/yr)

physics
See previous post.

physics
Xo = 75 m/s. Y^2 = Yo^2 + 2g*h Y^2 = 0 + 19.6*50 = 980 Y = 31.3 m/s. V = 75 + 31.3i tan A = Y/Xo = 31.3/75 = 0.41740 A = 22.7o

physics
I = 10*Log 105 = 20.2 db.

math
N(-2,-3), O(0,0), P(6,p). m1 = (0-(-3))/(0-(-2)) = 3/2 m2 = (p-0)/(6-0) = 3/2 p/6 = 3/2 2p = 18 p = 9.

Physics
d = 0.5a*t^2 = 2.5*3.9^2 = 38 m.

Physics
See previous post.

Physics
P = V^2/R = 120^2/15 = 960 Watts. Energy = P * t = 960 * 60s = 57,600 Watt-seconds.

Physics
Correction: R + 11=(11A/6.6A)*R= 1.666R.

Physics
R + 11 = (11A/6.6A)R 1.666R 1.666R - 1R = 11 0.666R = 11 R = 16.5 Ohms. = Original Resistance.

Physics
h1=a*t^2 = 28.3*5.5^2=856.1 m Above gnd. V1 = a*t = 28.3 * 5.5 = 155.7 m/s. V = V1 + g*t = 0 155.7 - 9.8t = 0 -9.8t = -155.7 t = 15.9 s. To reach max ht. h2 = V1*t + 0.5g*t^2 h2 = 155.7*15.9 - 4.9*15.9^2 = 1236 m Above h1. h = h1 + h2 = 856 + 1236 = 2092 m. Above gnd.

12
cot E = -9/12 = X/Y. r^2 = X^2 + Y^2 = (-9)^2 + 12^2 = 225 r = 15 sin E = Y/r = 12/15.

Physics
D = 9.6-2.59i D^2 = 9.6^2 + (-2.59)^2 = 98.89 D = 9.94 m. tan A = Y/X = -2.59/9.6 = -.26979 A = -15.1o = 15.1o S of E.

Physics
h = 0.5g*t^2 = 4.9*1.7^2 = 14.2 m.

finance
P = Po(1+r)^n. P = 1000(1.02)^n = 2000 1.02^n = 2 n*Log 1.02 = Log 2 n = Log 2/Log 1.02 = 35 Compounding periods. 35Comp / 1Comp/yr = 35 Yrs. To double.

algebra 2
1. $40/7.50 = 5.33 Or 5 tickets. 2. $40/7.50 = 8 Tickets.

math
N - 0.25N = sqrt(576) = 24 = Length of each side of the square. 0.75N = 24 N = 32 = Length of long sides of rectangle. A = L * W = 32 * 24 = 768 = Area of rectangle.

Geometry
Radius of R = r units. Radius of Q = (4/5)*r = 4r/5 units. Ar/Aq = pi*r^2/pi*(4r/5)^2 Ar/Aq = r^2/(4r/5)^2 = r^2/(16r^2/25) Ar/Aq = r^2*25/16r^2 25/16 = 25/16 = 1.5625 = 156.25% Ar = 156.25% - 100% = 56.25% > Aq.

physics
See previous post: Tue,9-17-13,6:20PM.

physical science
V = (575/950) * 1*10^6 =

math
r1*t + r2*t = 3 Mi. 4t + 5t = 3 9t = 3 t = 3/9 = 1/3 h. = 20 min.

physics
d = Xo * t d = 327*cos37.2 * 7.83 =

PHYSICS
D = 5.2i - 3.6 - 2.6i = -3.6+2.6i D^2 = -3.6^2 + 2.6^2 = 19.72 D = 4.44 km.

Physics
V^2 = Vo^2 + 2g*d Vo^2 = V^2 - 2g*d Vo^2 = 10^2 - (-19.6)98*5 Vo^2 = 100 + 98 = 198 Vo = 14.1 m/s. = Speed at which ball was thrown.

Physics
Xo = 12.2 m/s. Range = 21 m. Range = Xo * Tf = 21 m. 12.2 Tf = 21 Tf = 1.72 = Fall time. h = 0.5g*Tf^2 = 4.9 * 1.72^2 = 14.5 m.

Physics
d = 0.5g*t^2 = 490 m 0.5g*10^2 = 490 0.5g*100 = 490 100g = 980 g = 9.8 m/s^2.

finance
See previous post.

finance
P = Po(1+r)^n r = (2%/365)/100% = 0.00005479 = Daily % rate expressed as a decimal. n = 365Comp./yr * 20yrs. = 7300 Compounding periods. P = !000(1.00005479)^7300 = $1491.76

physics
a. Speed=1mi/4min * 1min/60s * 3600s/h = 15 mi/h. b. S=15mi/h * 5280Ft/mi * 1h/3600s = 22 Ft./s. c. S = 15mi/h * 1600m/mi * 1h/3600s=

Physics
h = 117*sin 31 = 60.26 m. V^2 = Vo^2 + 2g*h V^2 = 0 + 19.6*60.26 = 1181.09 V = 34.37 m/s

Physics
d = 0.5a*t^2 = 200 m. 2*t^2 = 200 t^2 = 100 t = 10 s.

Physics
Wt. = m*g = 69kg * 9.8N/kg = 676.2 N. F1 = 676.2*sin47 = 494.54 N. = Force parallel to the slope. F2 = 676.2*cos47 = 461.2 N. = Force perpendicular to the slope. 160-Fs = = m*a 160-u*F2 = m*0 = 0 u*461.2 = 160 u = 0.35 = Coefficient of static friction.

Physics
d1 = (9.5+0.9)t1 = 300 t1 = 300/(9.5+0.9) = d2 = (9.5-0.9)t2 = 300 t2 = 300/(9.5-0.9) = T = t1 + t2

math
d1 = 50mi/h * 1h + 50mi/h * 4h = 250 mi d2 = r*t = 250 mi r*4 = 250 r = 62.5 mi/h = Wife's speed.

Physics
a. D = -2 + 5i + 8 = 6 + 5i. D2 = 6^2 + 5^2 = 61 D = 7.81 Blocks. b. ta A = Y/X = 5/6 = 0.83333 A = 39.8o

Physics
V = Vo + a*t = o 9.6 + (-5.1)t = 0 -5.1t = -9.6 t = 1.88 s.

Math
6. 4 + 2(13-4)/3^2 = 4 + 2(9)/9 = 4 + 2 = 6.

math
a. TILE: L = 1/3 Ft. BOARD: L = 1/4 Yd. = 3/4 Ft. RATIO = (1/3)/(3/4) = 1/3 * 4/3 = 4/9. b. At = L*W = 1/3 * 1/3 = 1/9 Ft^2 Ab = 3/4 * 3/4 = 9/16 Ft^2. At/Ab = (1/9)/(9/16) = 1/9 * 16/9=16/81.

Physics
19t + 0.5a*t^2 = 49t + 49*0.6 19t + 0.5*6*t^2 = 49t + 29.4 3t^2 - 30t - 29.4 = 0 t = 10.9 s.

physics
a = (V^2-Vo^2)/2d a = (5.5^2-8^2)/14.8 = -2.28 m/s^2.

Physics
D = 1.2m/s * 10min *60s/min = 720 m.

Math
a. I = Po*r*t I=40,000*(0.13/365days)*160days = $2279.45 b. 40,000 + 2279.45 = $42,279.45 c. October 30.

Algebra 2
a. R = 0.00829s^2 = 5Lbs s^2 = 603.14 s = 24.6 mi/h. b. R = 0.008299*(2s)^2 = 4*0.00829s^2 The resistance increases by a factor of 4.

Physics
Vo = 9.4m/s[23o] Xo = 9.4*cos23 = 8.65 m/s. Yo = 9.4*sin23 = 3.67 m/s. c. X = Xo * t = 8.65t Y = Yo*t + 0.5g*t^2=3.67t+4.9t^2 e. h = 3.67t + 4.9t^2 h = Y = 3.67*6 + 4.9*6^2 = 198.4 m. Above gnd. f. 3.67t + 4.9t^2 = 10 m. 4.9t^2 + 3,67t _- 10 = 0 t = 1.10 s. (Use Quad. Formula).

physics
a. P = V^2/R = 24W. 120^2/R = 24 R = 600 Ohms. .

Physics
D=3.96m[90o] + 2.06m[45o] + 1.13m[240o] X=3.96*cos90+2.06*cos45+1.13*cos240 =0.892 m. Y = 3.96*sin90+2.06*sin45+1.13*sin240 = 4.44 m. tan A = Y/X = 4.44/0.892 = 4.98 A = 78.6o D = X/cos A = 0.892/cos78.6 = 4.51 m @ 78.6o N of E.

algebra
What does the "a" mean?

Physics
F = m*g = 30 N. 120*g = 30 g = 0.25 m/s^2

Physics
V^2 = Vo^2 + 2a.d a = (V^2-Vo^2)/2d a = (0-1.57^2)/2(6.25-1.83)=-0.279 m/s^2 Vo^2 = V^2-2a*d Vo^2= 0-2*(-0.279)*6.25 = 3.49 Vo = 1.87 m/s. Required.

Physics
Correction: hi/h2 = 4.9*(2t)^2/4.9*t^2 h1/h2 = 4.9*4*t^2/4.9*t^2 = 4.

Physics
h1/h2 = 4.9*(2t^2)/4.9*t^2 h1/h2 = 4.9*4*t^2/4.9t^2= 4.

physics
See Related Questions: Sat,9-14-13,1:23 PM.

Physical Science
d = V * t = 381*10^6 m. 11,000 * t = 381*10^6. Solve for t.

physics
c. ER2/(R1+R2)

Mechanics
20in *0.0254m/in = 0.5084 m. P = F * d/T = mg * d/T P = 200*9.8 * 0.5084/60 = 16.6 J/s = 16.6 Watts. P = (16.6/746) * 1 hp = 0.0223 hp.

Algebra
Test Average = (72+80+65+78+60)/5 = 71 Test Points = 2/3 * 71 = 47.33 47.33 + S/3 = 76 142 + S = 228 S = 86 = Final Exam score.

Math Homework HELP!
(k,-8), (-3.-5). (9,7), (12,5). m1 = m2 = (5-7)/(12-9) = -2/3. m1 = (-5-(-8))/(-3-k) = -2/3 (-5+8)/(-3-k) = -2/3 3/(-3-k) = -2/3 6+2k = 9 2k = 3 k = 3/2.

physics
a=(V-Vo)/t=(13.9-16.90)/3.5=-0.769m/s^2 V = Vo _ a*t V = 13.9- 0.769*2 = 12.4 m/s.

physics
d2 = d1 + 26 m. r2*t = r1*t + 26 6t = 4.2t + 26 1.8t = 26 t = 14.44 s. d = d1 = 4.2*14.44 = 60.67 m..

Math
(1,4),(3,5). Slope = (5-4)/(3-1) = 1/2 (1,4). Y = mx + b = 4 (1/2)*1 + b = 4 b = 7/2 Eq: Y = x/2 + 7/2.

physics
CORRECTION: Change 2.31 io 2.51 m. Vo^2 = 49.2 Vo = 7.01 m/s, Up ward. a = (-7.01-9.2)/12.6 = -1.29 m/s^2.

physics
V1^2 = Vo^2 + 2g*d V1^2 = 0 + 19.6*4.31 = 84.48 V1 = 9.2 m/s. V^2 = Vo^2 + 2g*d = 0 Vo^2 + (-19.6)*2.31 = 0 Vo^2 = 45.3 Vo = 6.73 m/s. a =(Vo-V1)/t a=(6.73-9.2)/12,6=-0.196m/s^2

physics
a. d = Vo*t + 0.5g*t^2 = 98 m. 0 + 4.9t^2 = 98 t^2 = 20 Tf = 4.47 = Fall time. V = Vo + g*t = 0 + 9.8*4.47 = 43.8 m/s.= Velocity @ 98 m. b. d = Vo*t + 0.5g*t^2 = 98 m. 43.8*t + 4.9t^2 = 98 4.9t^2 + 43.8t - 98 = 0 Tf = 1.85 s.

physics
Correction: d1=0.5g*t^2=4.9*1.14^2=6.37 m Head start. V = Vo + g*t = 0 + 9.8*1.14=11.17m/s. = Velocity after falling 6.37 m. h1 = Vo*t + 0.5g.t^2 =45.4-6.37 11.17t + 4.9t^2 = 39 4.9t^2 + 11.17t - 39 = 0 Tf = 1.9 s. = Fall time of both stones. h2 = Vo*t + 0.5g*t^2 = 45.4 1.9Vo ...

physics
d1 = 0.5g*t^2 = 4.9*1.14^2 = 6.37 m. head start. h = 0.5g*t^2 = 45.4 m. 4.9t^2 = 45.4 t^2 = 9.27 Tf = 3.04 s. = Fall time of both stones d2 = d1+ 6.37 m. Vo*t + 0.5g*t^2 = 0.5g*t^2 + 6.37 Vo*t + 0.5g*t^2 -0.5g*t^2 = 6.37 Vo*t = 6.37 Vo*3.04 = 6.37 Vo = 2.09 m/s. NOTE: The 2 Fr...

Physics
h = Vo*t + 0.5g*t^2 = 9.14 m. -2.27t + 4.9*t^2 = 9.14 4.9t^2 - 2.27t = 9.14 4.9t^2 - 2.27t - 9.14 = 0 t = 1.617 s. (Use Quad. Formula) NOTE: The initial velocity is negative, because its' movement is in a direction opposite to the falling object.

Pre-calc
Incomplete.

physics
Vo = 20.1m/2[36.4o] Xo = 20.1*cos36.4o = 16.18 m/s. Yo = 20.1*sin36.4o = 11.93 m/s. Y = Yo + g*t = 0 @ max. ht. 11.93 + (-9.8)*t = 0 -9.8t = -11.93 Tr = 1.22 s. = Rise time. d = Xo * Tr = 16.18m/s * 1.22s = 19.7 m.

physics
D = 29km[153o] - 42km[143o] a. X = 29*cos153 - 42*cos143 = 7.70 km. Y = 29*sin153 - 42*sin143 = -12.1 km. D^=X^2 + Y^2 = 7.7^2 + (-12.1)^2=205.94 D = 14.35 km. = The dist. between the 2 teams. b. tan A = Y/X = -12.1/7.70 -1.57142857 A = -57.53o = 57.53o South of East.

Physics
V = Vo +a*t = 18.1 m/s. 0 + 3*t = 18.1 t1 = 6.03 s. t2 = 24.5 s. t3 = 5.7 s. T = t1 + t2 + t3 T = 6.03 + 24.5 + 5.7 = 36.23 s.

Algebra
81-9t^2-6t-6t-4 = 81-9t^2-12t-4 = -9t^2-12t+77 Use AC Method of factoring: A*C = -9*77 = -693 = 3*-231 = 21*-33. Use the part whose sum equals -12, the coefficient of B: 21, and -33. -9t^2+(21t-33t)+77 Divide the 4 terms into 2 factorable binomials: (-9t^2+21t) + (-33t+77) = -...

Algebra I
X = The number. -X = The opposite of the number. X = -X + 96 2x = 96 X = 48

physics
a. D^2 = X^2 + Y^2 D^2 = 5.8^2 + 38.8^2 = 1539.1 D = 39.2 m. b. tan A = Y/X = 38.8/5.8 = 6.68966 A = 81.5o, CCW. A = 90-81.5 = 8.5o East of North.

physics
d = r * t = 2.65m/s * 4.5s = 11.9 m = Distance ran by Henrietta in 4.5s. h = 0.5g*t^2 = 54.8 m. 4.9t^2 = 54.8 t^2 = 11.18 Tf = 3.34 s. = Fall time. d = Vo*Tf = 11.9 m. Vo*3.34 = 11.9 Vo = 3.56 m/s.

Physics
V^2 = Vo^2 + 2a*d Vo = 60,000m/3600s = 16.7 m/s d = (V^2-Vo^2)/2a d = (0-16.7^2)/-500 = 0.56 m.

Physics
a. 38 * t1 = 44 mi. Solve for t1. 89*t2 = 44. Solve for t2. T = t1-t2 b. d = 38(14/60) = 8.9 mi.

geometry
Scale Factor = 8/6 = 4/3.

geometry
Your answers are correct.

algerbra
-3b + ac = c-4 ac-c = -4+3b c(a-1)=-4+3b Divide both sides by (a-1): C = (-4+3b)/(a-1).

algebra
Please clarify your problem.

math
V1 = X mi/h d1 = X * 3 = 3x miles head start. V2 = (X+15)mi/h (X+15)*T = X*T + 3x (X+15)*6 = 6x + 3x 6x + 90 = 9x 3x = 90 X = 30 mi/h X+15 = 30+15 = 45 mi/h.

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