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Posts by Henry

Total # Posts: 13,458

Algebra
See previous post: Fri, 10-9-15, 2:o4 PM.

Algebra
P = Po(1+r)^n. Po = $4185. r = (4.1%/4)/100% = 0.010. n = 4Comp./yr. * t yrs. = 4t Compounding periods. P = 4185(1.010)^4t = 5019. 1.010^4t = 1.19928. 4t*Log 1.010 = Log 1.19928. 4t = Log 1.19928/Log 1.010. 18.26. t = 4.57 Yrs.

Algebra
Molly's Time = 3 + 2 = 5 h.

Algebra
Molly: d1=V*t = 27 * 2 = 54 Miles head- start. d2 = d1 + 54. 45*T = 27*T + 54 18T = 54. T = 54/18 = 3 h.

Math
3/4 + 1/8 + 1/2 = 6/8 + 1/8 + 4/8 = 11/8 = 1 3/8 Glasses.

adv functions urgent
Yes, what is your question?

Physics
Vo = 36 m/s. @ What angle?. We need the angle.

business mathematics
V = Vo + Vo*r*t. V = 20,000 + 20000*(0.07/360)*75 = $20,291.67

FINANCE SIMPLE INTEREST
I = Po*r*t = 665*(0.099/365)*80

physics help
Fn = 32 N. = Normal force. Fap = 8 N. = Force applied. Fap-Fs = M*a. 8-Fs = M*0 = 0. Fs = 8 N. = Force of static friction. Fs = u*Fn = 8. u*32 = 8. u = 0.25.

MAth
(Vs - Vc)*t = 8 Miles. (15 - Vc)t = 8. Eq1: 15t - Vc*t = 8. (15 + Vc)*t = 12. Eq2: 15t + Vc*t = 12. Add Eqs #1 and #2: Sum: 30t = 20. t = 2/3 s. In Eq2, replace t with 2/3 s. and solve for Vc. Vc = 3 m/s.

physics help
Note: Co-linear forces act along the same line but not necessarily in the same direction.

physics help
F1 = -45 N. F2 = 63 N. F3 = ?. Fr = -12. Fr = F1 + F2 + F3 = -12 N. -45 + 63 + F3 = -12. 18 + F3 = -12. F3 = -30 N. = 30 N., West.

physics
X = Vw = -100 m/s. Y = Vp = 350 m/s. Q2. Vr = Sqrt(X^2 + Y^2). Tan A = Y/X = 350/-100 = -3.500. A = -74o = 74o N. of W. = 16o W. of N. = Direction. d = Vr * 3600s = Meters. Note: 3600 s = 1 hour.

Physics
Vo = 22.6 m/s[60o]. Xo = 22.6*Cos60 = 11.3 m/s. Yo = 22.6*sin60 = 19.6 m/s. Y = Yo + g*Tr = 0 @ Apex. 19.6 - 9.8*Tr = 0. Tr = 2.0 s. = Rise time or time to reach apex. Tf = Tr = 2.0 s. = Fall time. Range = Xo*(Tr+Tf) = 11.3m/s * 4s. = 45.2 m. Note: Your procedure is correct, ...

physics
The angles = 70o?. T1*sin70 + T2*sin70 = 1530 N. T1 = T2. 2T1*sin70 = 1530. T1 = 814 N. = T2.

Physics
F*d = 48 * 10.3 =

Physics
a. Fn = Mg-200*sin30. b. 200*Cos30-Fk = M*a. Fk = ?. c. u = Fk/Fn

Physics
h = Vo*t + 0.5g*t^2. h = 3.40 m/s. Vo = -2.65 m/s. g = +9.8 m/s^2. t = ?.

Finance
Correction: P1 = Po(1+r)^n.

Finance
P1 = Po(1=r)^n. Po = $100. r = 10%/100% = 0.10. n = 1Comp./yr. * 1yr. = 1 Compounding period. P1 = ?. P2 = Po(1+r)^n. Po = $.100 r = (10%/2)/100% = 0.05. n = 2Comp./yr. * 1yr. = 2 Compounding periods. P2 = ?. P3 = Po(1+r)^n. r = (10%/4)/100% = 0.025. n = 4Comp./yr. * 1yr. = 4 ...

physics
F = M*a. a = (Vf-Vo)/t. Vf = 43.7 m/s. Vo = 0.

Physics
X = Vc = 3 m/s. Y = Vb = 5 m/s. Tan A = Y/X = 5/3 = 1.66667. A = 59o N. of E. = 31o E. of N. Direction = 31o W. of N.

Physics
Fn = Mg-F*sin29.4.

algebra please help
1. 2x + 3y = 1470. 3y = -2x + 1470. Y = (-2/3)x + 490. m = -2/3, b = 490 = y-intercept.

Algebra
(-4,6), (1,1). m = (1-6)/(1-(-4)) = -5/5 = -1. Y = mx + b = 6. -1*-4 + b = 6. b = 2. Y = -x + 2.

Physics
Vo = 21 m/s. Vf = Vo + a*t = 21 + 1.6*6.8 = 31.9 m/s.

Physics
Vo = 72m/s[Ao]. Xo = 46 m/s. Xo = 72*Cos A = 46. Cos A = 46/72 = 0.63889. A = 50.3o

Physics
Vo = 24.3 m/s.[29o] Yo = 24.3*sin29 = 11.8 m/s. Yf = Yo + g*Tr = 0 at max h. 11.8 - 9.81Tr = 0. Tr = 1.20 s. = Rise time. h = Yo*Tr + 0.5g*Tr^2. g = -9.81 m/s^2.

science
Vo = 2 m/s. t = 4 s. a = 3 m/s^2. d = Vo*t + 0.5a*t^2.

math
Correction: V = 69.3 Ft/s.

math
1. h = 75 Ft ?. V = Sqrt(64*75) = Sqrt(4800) = 69.3Ft^2. 2. Sqrt(N) = N^(1/2). Curt(N) = N^(1/3).

Physics
Vo = 15 m/s?. V1 = 15 m/s. Vf = Vo + g*Tr = 0 at max h. 15 - 9.8*Tr = 0. Tr = 1.53 s. = Rise time. Tf = Tr = 1.53s. = Fall time. T = Tr+Tf = 1.53 + 1.53 = 3.06 s.

Physics
Vo = 15m/s[39o]. Yo = 15*sin39 = 9.44 m/s. Y = Yo + g*Tr = 0 @ h max. 9.44 - 9.8Tr = 0. Tr = 9.44/9.8 = 0.96 s. = Rise time. Tf = Tr = 0.96 s. = Fall time. T = Tr+Tf = 0.96 + 0.96 = 1.92 s.

physics
1. Vo = 55m/s[52o]. Xo = 55*Cos52 = 33.9 m/s. Yo = 55*sin52 = 43.3 m/s. h = Yo*t + 0.5g*t^2 = g = -9.8 m/s^2. h = ?. 2. Range = Vo^2*sin(2A)/g. Vo = 22 m/s. A = 30o. g = 9.8 m/s^2.

physics
C = C1*C2/(C1+C2) = 3*6/(3+6) = 2 uF. Ct = C + C3 = 2 + 4 = 6 uF. Total Energy = 0.5C*E^2 = 0.5*6*6^2 = 108 J.

Physics
Vf = Vo + a*t = 0. 3.08 + a*0.21 = 0. 0.21a = -3.08. a = -14.7 m/s^2. F = M*a.

Physics
Tr = 23.2/2 = 11.6 s. = Rise time. Vf = Vo + g*Tr = 0. 16 + g*11.6 = 0. 11.6g = -16. g = -1.38 m/s^2.

Physics
All angles are CCW from +x-axis. Vp + Vw = 420km/h[97o]. 420[90o] + Vw[225o] = 420[97o] 420i + Vw*Cos225+Vw*sin225 = 420*Cos97 +420*sin97 = 420i - 0.707Vw - i0.707Vw = -51.2 + 417i = -51.2 -3i. 0.707Vw (-1-1i) = -51.2 - 3i. 0.707Vw(1.41[225o]) = 51.3[183.4o]. Vw[225o] = 51.3[...

PHYSICS
X = -47.9 N. Y = 81.2 N. Q2. a. F3 = Sqrt(X^2 + Y^2) b. Tan A = Y/X = 81.2/-47.9 = -1.69520. A = -59.5o = 59.5o N. of W. Direction = 59.5o S. of E.

PHYSICS
See previous post: Sat, 8-15-15, 7:29 AM

PHYSICS
Wc = M*g. Fn = Mg*Cos15. a. Fn/Wc = Mg*Cos15/Mg = Cos15 = 0.966. b. Fn/Wc = Mg*Cos32/Mg = Cos32 = 0.848.

PHYSICS
Wb = M*g = 50.5 * 9.8 = 494.9 N. = Normal force, Fn. Fs = u*Fn = 0.624 * 494.9 = 308.8 N. = Force of static friction. Fk = 0.364 * 494.9 = 180.1 N. a. F-Fs = M*a. F-308.8 = M*0 = 0 F = 308.8 N. b. F-Fk = M*a. F-180.1 = M*0 = 0. F = 180.1 N.

physics
-16t^2 + 100t + 140 = 200. -16t^2 + 100t - 60 = 0. Divide by 4: -4t^2 + 25t - 15 = 0. Use Quadratic Formula. Solutions: T1 = 0.67 s, T2 = 5.8 s.

physics
h = 0.5g*t1^2 = 22 m. g = 9.8 m/s^2. t1 = ?. 1.4m/s * t2 = 4 m. t2 = ?. T = t1 + t2.

Physics
Vr = 120km/h[0o] + 50km/h[202o,CCW]. Vr = 120+50*Cos202 + i50*sin202 = 120 - 46.4 - 18.7i = 73.6 - 18.7i, Q4. Vr = 73.6 - 18.7i = 76[-14.2o] = 76km/h[14.2o] S. of E.

Physics
See Related Questions: Fr1, 10-17-14, 9:38 PM.

Algebra
a. Scale = 30Ft/6in = 5 Ft/in. 0r 1in = 5 Ft.

Physics
a. F = M*g = 80 * 9.8 = 784 N. b. F-784 = M*a. F-784 = 80*2 = 160. F = 944 N. c. F-784 = M*a. F-784 = M*0 = 0. F = 784 N. d. F-784 = M*a. F-784 = 80*(-1.5). F-784 = -120. F = 664 N.

Physics
Tr = 6/2 = 3 s. = Rise time. Vf = Vo + g*Tr = 0 @ max h. Vo - 9.8*3 = 0. Vo = 29.4 m/s.

Physics
1. X = 10 mi/h. Y = 80 mi/h. Vr = Sqrt(X^2 + Y^2). 2. Same Procedure as #1. 3. Vr = Vp + Vw = 80 + 10 = 90 mi/h. 4. Vr = Vp + Vw = 80 + (-10) = 70 mi/h.

Physics
Vo = 20m/s[40o]. Xo = 20*Cos40 = 15.3 m/s. Yo = 20*sin40 = 12.9 m/s. Dx = Xo*t = 15.3m/s * 2.55s. = 39 m. h = Yo*Tr + 0.5g*Tr^2 Tr = 2.55/2 = 1.275 s. = Rise time. g = -9.8 m/s^2.

physics
F = M*a = 40 * 5*9.8 = 1960 N.

PHYSICS
Fr = 3N[0o] + 4N[90o] + 12N[180o] = 3 + 4i -12 = -9 + 4i, Q2. Fr = Sqrt ((-9)^2 + 4^2)

science
See previous post: Sat, 10-3-15, 12:51 PM.

wcience
a. M*2V/M*V = 2. b. 0.5M*V/M*V = 0.5 = 1/2. c. 3M*3V/M*V = 9.

science
h = 0.5g*t^2

physical science
d = V*T = 3*10^8m/s * T = 3.5*10^5 m. T = ?.

physics
a. Yf^2 = Yo^2 + 2g*h. Yo = 0. g = 9.8 m/s^2. h = 1013 m. Yf = ?. Vf = Sqrt(Xo^2 + Yf^2), Xo = 123 m/s. b. Tan A = Yf/Xo.

Physics acceleration
Vf = 91.4mi/h * 1600m/mi * 1h/3600s. = m/s. a = (Vf-Vo)/t = m/s^2. Vo = 0. a = ?

physics
Fa+Fb = M*a = 12.3 * 0.443 = 5.45 N. Fa-Fb = 12.3 * 0.280 = 3.44 N. a. Fa + Fb = 5.45. Fa - Fb = 3.44. Sum: 2Fa = 8.89. Fa = 4.45 N. b. Fa + Fb = 5.45 4.45 + Fb = 5.45. Fb = 1.00 N.

Physics help!!
a = (Vf-Vo)/t = (-25-49)/0.0022 = -33.64 m/s^2. F = M*a. Note: The force will be negative, because it opposes the initial motion.

Physics
See previous post: Fri, 9-11-15, 12:45 PM.

physics
See Related Questions: Tue, 4-29-14, 1:34 PM.

Physics
h = 0.5g*t^2 = 0.024 m. 4.9*t^2 = 0.024. t = ? Dx = Xo^t = 50 m. Xo*t = 50. Xo = ?. 6

Physics
d1 = V1*t = 14m/s * 3.5s. = 49 m. Head-start. a. d2 = 49 + V1*t. 0.5a*t^2 = 49 + V1*t. 0.5*4*t^2 = 49 + 14*t. 2t^2-14t-49 = 0. Use Quadratic Formula. t = 9.56 s. b. d = 0.5a*t^2.

Physics
See Related Questions: Thu, 1-31-13, 2:29 AM.

physics
X = 172*Cos23. Y = 172*sin23.

physics
X = 18 * Cos13.

physics
X = 5.2 m. Y = 37.8 m. Disp. = Sqrt(X^2 + Y^2). Tan A = Y/X = 37.8/5.2 = 7.26923. A = 82.2o N. of E. = 7.8o E. of N.

physics
Incomplete.

physics
Y = 37.8 m. X = 5.2 m. Disp. = Sqrt(X^2 + Y^2) =

Pre-Algebra
(1/5)^9 = 1/5^9 = 5^-9.

conversion
2kw = 2000 W. hp = 2000/746.

conversion
20 Watts = 20 J/s.

PHYSICS
M1*V1 + M2*V2 = M1*V + M2*V. 5000*15 + 1000*(-30) = 5000V + 1000V. V = ?.

PHYSICS
Density = 100g/600cm^3 = g/cm^3.

PHYSICS
F = 155N/m * 0.05m = 7.75 N.

physics
a = (Vf-Vo)/t = (-4.1-2.1)/0.36 = -17.2 m/s^2. a. F = M*a = 0.19 * (-17.2) = -3.27 N. b. Direction = West. c. a=(-4.1i-2.1)/0.36=(4.61[243o]/0.36 = 12.8 m/s^2[243o]. F = M*a = 0.19 * 12.8[243o] = 2.43N.[243o] d. Direction = 243o CCW.

physics
a = (Vf-Vo)/t = (36-5.5)/0.0316 = 965.2 m/s^2. d = Vo*t + 0.5a*t^2 = 5.5*0.0316 + 0.5*965.2*0.0316^2 = 0.656 m.

math
3(x-2) + 4 > 2(2x-3). 3x-6 + 4 > 4x-6. 3x-4x > -6 + 2. -x > -4. X < 4. 1. X => 45 min. 2. X =< 2 hrs. 3. $8500 =< X < $12,000.

math
d = 6mi * 5,280Ft/mi * 1yd/3Ft + 551yds = 11,111 yds. d = 11,111yds. * 3Ft./yd. * 1m/3.3Ft. = 10,100.9 m.

Physics
See previous post: Mon, 9-28-15, 9:46 PM

Physics
225o = 180 + 45o. So the vector is 45o below West. Therefore, it will point to the left and downward at an angle of 45o. The three vectors can also be drawn from the origin.

PHYS 101
Wb = M*g = 1.70 * 9.8 = 16.7 N. Fp = 16.7*sin27.4 = 7.67 N. = Force parallel to the incline. a. a = Fp/M = 7.67/1.70 = 4.51 m/s^2. b. PE = Mg*h = 16.7*0.485 = 8.08 J. KE = 0.5M*V^2 = 8.08. 0.85*V^2 = 8.08. V^2 = 9.51. V = 3.08 m/s. c.

math help
Y = 3x^2-6x-9 = 0. A*C = 3 * -9 = -27. sum = 3 + (-9) = -6 = B. 3x^2 + (3x-9x) - 9 = 0. Form two factorable binomials: (3x^2+3x) - (9x+9) = 0. 3x(x+1) - 9(x+1) = 0. (x+1)(3x-9) = 0. x+1 = 0, X = -1. 3x-9 = 0, 3x = 9, X = 3. Intercepts = -1, and 3.

welkin
Wb = M*g = 50 * 9.8 = 490 N. = Normal force, Fn. Fk = u*Fn = 0.2 * 490 = 98 N. Work = Fk*d = 98 * 1 = 98 J.

Physics
a. d1 + d2 = 30 m. 0.5a1*t^2 + 0.5a2*t^2 = 30. 0.5*0.49*t^2 + 0.5*0.43*t^2 = 30. t = ?. b. d1 = 0.5a1*t^2.

Physics
a = (Vf-Vo)/t = (6.20-0)/3.56. d = 0.5a*t^2.

physics
Vc + Vb = 6 + 10i = 11.7km/h[59o] CCW. = 31o E. of N. Boat should sail 31o W. of N.

Physics Projectile Motion
See previous post: Mon, 9-28-15, 10:47 PM.

Advanced functions
No. Going twice as far does not change the braking distance if the initial velocity(Vo) remains constant over that distance.

Physics Kinematics.
Xo = 21 m/s. Yo = 16 m/s. a. V = Vo = Sqrt(Xo^2 + Yo^2). b. Y = Yo + g*Tr = 0. 16 - 9.8*Tr = 0. 9.8Tr = 16. Tr = 1.63 s. = Rise time. Tf = Tr = 1.63 s. Tr+Tf = 1.63 + 1.63 = 3.26 s. = Time in air. c. h = 0.5g*Tf^2 = 4.9*1.63^2 = 13 m.

Physics 2D Kinematics
Incomplete.

Physics
Tb + Ts = 2.5 s. Ts = 2.5-Tb. d = Vs*(2.5-Tb) = 16.5 m. 340*(2.5-Tb) = 16.5. 850-340Tb = 16.5. 340Tb = 833.5. Tb = 2.45 s. = Time of the ball. d = Vb*Tb = 16.5. Vb*2.45 = 16.5. Vb = 6.73 m/s.

Physics
Vf = Vo + a*t. Vo = 8.1 m/s. a = 2.8 m/s^2. t = 5.3 s. Vf = ?

math
10^5cal./s * 10s. = 10*10^5 cal. = 1 Million calculations.

Physics
See previous post: Mon. 9-28-15, 3:51 PM.

Physics
X = -4 km. Y = -3.0 km. Q3. Tan A = Y/X = -3/-4 = 0.750 A = 36.9o S of W. = 216.9o CCW. = Direction. Disp. = X/Cos216.9 = -4/Cos216.9=5.0 km.

Physics
Disp. = 48.1*sin15.5 =

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