# Posts by henry

Total # Posts: 14,135

mechanics
V = Vo + a*t. 12 = 15 + a*0.25, a = -12 m/s^2. a. Fe = M*a = 1200*(-12). b. M1*V1 + M2*V2 = M1*V3 + M2*V4. 1200*15 + 800*10 = 1200*12 + 800V4, 18,000 + 8000 = 14,400 + 800V4, -14,400 + 26,000 = 800V4, 800V4 = 11,600, V4 = 14.5 m/s. = Velocity of the car.

Phyisics
Vs = Vo + 0.6m/s/Co. Vs = 340 + 0.6*127 = 416 m/s.

math
1. S = 5000. 2. S = 5000 + 1500 = 6500. 3. S = 6500 + 1500 = 8,000. 4. S = 8000 + 1500 = 9,500. S = 5000 + 5000*0.3*(n-1). Factor out 5000: Eq: S = 5000(1 + 0.3*(n-1)). 2. S = 5000(1+0.3*(2-1)) = 6500. 3. S = 5000(1+0.3*(3-1)) = 8000. 4. S = 5000(1+0.3*(4-1)) = 9500.

Physics
1-0.8 = 0.2 N. lost. M*g = 0.2, M = 0.2/9.8 = 0.0204 kg = 20.4 grams lost

Math Fractions
6cups * 8oz/cup = 48 oz. of sports drink concentrate. 48oz + 9*48oz. = 480 oz. 480oz./(128oz/gal) = 3.75 Gal.

Math
P = (Po*r*t)/(1-(1+r)^-t). Po = \$20,300. r = 0.0975/12 = 0.008125/mo. t = 4yrs. * 12mo./yr. = 48 mo. P = (20,300*0.008125*48)/(1-1.008125^-48). P = 7917/(1-1.008125^(-48)), P = 7917/0.32187535 = \$24,596.48. M.P. = P/48. = 24,596.48/48 = \$512.43.

Physics
A. V2^2 = V1^2 + 2g*h. V2^2 = 0 + 19.6*1.25 = 24.5, V2 = 4.95 m/s.

physics
Avg. Speed = (20+60+120)/3 = 66.67 km/h.

physical sciences
V2 = a*t = 4 * 40 = 160 m/s = Take-off speed. V2 = V1 + a*t. 160 = V1 + 4*40, V1 = 0.

Physics
Vr = 25 + 100i = 103m/s[76o].

Physics
output = 0.8 * Input =

Physics
V1 = 610rev/min * 6.28rad/rev * 1min/60s = 63.85 rad/s. V2 = V1 + a*t. = 63.85 + 5.9*3.2 = 82.73 m/s.

Math
kids ticket = \$X each. Adult tickets = \$2X each. 9x + 2*2x = 72. X = ?.

math
Width = X ft. Length = 2x+3 Ft. A = L*W = (2x+3)x = 65. 2x^2+3x = 65, 2x^2 + 3x - 65 = 0, Use Quadratic Formula: X = (-3 +- sqrt(9 + 520))/4 X = (-3 +- 23)/4 = 5, and -6.5. X = 5 Ft. = Width. Length = 2*5 + 3 = 13 Ft. P = 2L + 2W.

physics
F = M*g = 0.50 * 9.8 = 4.9 N. X = (1m/175N)*4.9N. + (1m/270N)*4.9N = 0.028 + 0.0181 = 0.0461 m.

Physicd
a. Fap = M*a. 10 = 2a, a = 5 m/s^2. b. V = Vo + a*t = 10 + 5*5 = 35 m/s.

MATH
d = 15mi/h*(40/60)h + 10mi/h*(20/60)h = 13.33 miles. - Total dist. traveled. r = 13.33mi/1h = 13.33 mi/h.

3 + 6*(5+4/2)-7 = 38.

physics
V^2 = Vo^2 + 2g*h. V = 0, Vo = 10 m/s, g = -9.8 m/s^2, h = ?.

Physics
M*g = 85*9.8 = 833 N. = Force of load. Effort = 833/0.85 =

eec115 electrical and electronic engineering science
C1 = 10uF, C2 = 5uF. C = C1*C2/(C1+C2) = (10*5)/(10+5) = 3.33 uF. a. Q1 = Q2 = C*V = 3.33 * 20 = 66.6 Micro Coulombs. b. V1 + V2 = 20 V2 = 10uF/5uF * V1 = 2V1, V1 + 2V1 = 20, V1 = 6.66 Volts.

Pre-calculus
Disp. = 4km[30o] + 10km[160o]. X = 4*Cos30 + 10*Cos160 = -5.93km. Y = 4*sin30 + 10*sin160 = 5.42km. Tan A = Y/X = 5.42/(-5.93) = -0.91403, A = -42.43o N. of W.137.6o CCW from + x-axis. Disp. = X/Cos A = (-5.93)/Cos137.6 = 8.03 km[137.6]

Physics - Voltage across a wire of unknown length
p = 1.68*10^-8 Ohm m = 1.68*10^-6 Ohm cm. R1 = pL/A = (1.68*10^-6)L/1cm^2 = (1.68*10^-6)L Ohm. R2 = (1.68*10^-6)L/2cm^2 = (0.84*10^-6)L Ohm. R3 = (0.56*10^-6)L Ohm. R4 = (0.42*10^-6)L Ohms. R = R1 + R2 + R3 + R4. R = (1.68L+0.84L+0.56L+0.42L)10^-6 = (3.5*10^-6)L Ohms. I = E/R...

Algebra
P = Po*e^(r*t). r*t = 0.05*6 = 0.3. P = 1200 * e^0.3 = \$1619.83.

P = (Po*r*t)/(1-(1+r)^-t). Po = 0.7*200,000 = 140,000. r = 0.115/12 = 0.009583/mo. = Monthly % rate. t = 30yrs. * 12mo./yr. = 360 mo. P = (140,000*0.009583*360)/(1-(1.009583)^-360) = 499,091.50. M.P. = P/360.

physics
Circumference = pi*D = 3.14 * 150 = 471.2 m. V = 471.2m/30min * 1min/60s = m/s.

Maths
P = Po + Po*r*t. P = \$24,200, r = 0.07, t = 3 yrs. Po = ?.

Physics 2
T1 = 20oC. T2 = 140oC. D = Do + Do*a*(T2-T1) Density = 19.3 + 19.3*14.3*10^-6/oC*(140-20)oC = 19.333 g/cm^3.

Physics
M*g = 10 * 9.8 = 98 N. = Wt. of mass. The system is in equilibrium: T1*Cos60 = -T2. T1 = -T2/Cos60 = -2T2. T1*sin60 = 98 N. T1 = 98/sin60 = 113.2 N. -2T2 = T1 = 113.2, T2 = -56.6 N. = Tension in horizontal string.

Math
State A: 23rep./13.5mil. = 1.70 reps/mil. State B: 16reps/12.4mil = 1.29 reps/mil. State B has the least number of reps per mil; therefore, the last rep should be assigned to state B.

Geometry
The diagonals bisect each other. Therefore, DO = 0C = 20/2 = 10 in. CD = AB = 13 in. P = DO + OC + CD = 10 + 10 + 13 = 33 in.

math-consumer arithmentic
APR = (1567/37,536)*100 = 4.17%.

math-consumer arithmentic
Po = \$25,000. t = 8yrs. * 12mo./yr. = 96 mo. P = 391/mo. * 96mo. = \$37,536. Int./yr. = (P-Po)/t = (37,536-25,000)/8yrs. = \$1567. APR

Math
a. D.P. = 0.05 * 20,800 = \$1,040. b. Po = 20,800 - 1040 = \$19,760 = Amt. borrowed. c. P = Po*r*t/(1-(1+r)^-t). r = 0.0325/12 = 0.0027/mo. t = 4yrs. * 12mo./yr. = 48 mo. P = (19,760*0.0027*48)/(1-1.0027^-48) = \$21,034.03. 21,034.03/48mo. = \$438.21/mo. d. \$21,034.03 + 1040 = \$...

Math
a. 0.05 * 17,900 = Down payment(D.P.). b. Amt. = 17,900 - D.P. =

math
L = 15 * 5cm =75 cm. Breath = 15 * 3cm = 45 cm.

Trig
AB = sqrt((2-0)^2+(7-2)^2 = 5.39. BC = sqrt((0-2)^2+(10-7)^2 = 3.61. AC = sqrt(10-2)^2 = 8. P = 5.39 + 3.61 + 8 = 17. A^2 = (P*AB*BC*AC)/16. a^2 = (17*5.39*3.61*8)/16 = 165.4. A = sqrt(165.4) = 12.86.

Trig
(AB)^2 = (2-0)^2 + (7-2)^2 = 29, AB = 5.39. (BC)^2 = (6-2)^2 + (10-7)^2 = 25, BC = 5. (CD)^2 = (9-6)^2 + -2-6)^2 = 73, CD = 8.54. (AD)^2 = ((9-0)^2 + (-2-2)^2 = AD = P = AB + BC + CD + AD = A^2 = (P*AB*BC*CD*AD)/16 = A =

Maths
100-23-9-20 = 48% That voted for A and B in ratio of 1:2. A/B = 1/2. B = 2A. A + B = 48%. A + 2A = 48, A = 16%, B = 2A = 32%. A = 23 + 16 = 39% Total. B = 9 + 32 = 41% Total.

angular accleration
t = 50rev. * 1s/10rev = 5 s. acc. = (V2-V1)/t = (10-0)/5 = 2 rev/s^2. 2rev/s^2 * 6.28rad/rev = 12.56 rad/s^2.

Physics
a. a = 0. b. Fp-Fk = M*a. a = (Fp-Fk)/M =

Physics
M*g = 2.5 * 9.8 = 24.5 N. = Wt. of block. Fp = 24.5*sin53 = 19.6 N. = Force parallel to the incline. Fn = 24.5*Cos53 = 14.7 N. = Normal force. Fs = us*Fn = 0.5 * 14.7 = 7.37 N. Fk = uk*Fn = 0.25 * 14.7 = 3.69 N.

Math1
S = 285 + 285*0.75(1994-1985). S= 285 + 1924 = 2209 Subscribers.

Math
t = 9:00 - 6:50 = 2 h, and 10 min. = 2 1/6 h. = 13/6 h. t1 + t2 = 13/6. 3t1 + 30t2 = 20. Multiply Eq1 by -30 and add: -30t1 - 30t2 = -65. +3t1 + 30t2 = 20, Sum: -27t1 = -45, t1 = -45/-27 = 5/3 h = The girl's walking time. d = r*t = 3 * 5/3 = 5 Miles.

Physics
b. V^2 = Vo^2 + 2g*h. V^2 - 0 + 19.6*19.5 = 382.2, V = 19.5 m/s.

Physics
h = 0.5g*Tf^2 = 21.3-1.8 = 19.5 m 4.9*Tf^2 = 19.5, Tf^2 = 3.98, Tf = 1.99 s. = Fall time. a. d = Xo * Tf = Xo * 1.99 = 61, Xo = 30.6 m/s = Hor. velocity at time it leaves the road.

physics
Vf = If*Rg = 10*10^-3 * 25 = 0.25 Volts. Rs = (10-Vf)/If.

Math
P = Po(1+r)^n. r = 0.03/365 = 8.22*10^-5/day = Daily % rate. n = 365 Compounding/yr. Let Po = \$1.00 for this calculation. P = 1(1.00008.22)^365 = 1.03045. APY = 1.03045 - 1 = 0.03045 = 3.05%.

Science
Vw = 500g * 1cm^3/g = 500 cm^3. = 500 mL. We have 500 cm^3 of water which = 500 mL.

V = Vo + Vo*r*t. V = 30,000 + 30,000*(0.05/12)*4.

Physics
V = Vi + a*t = 20 + 2*7 = 34 m/s.

Algebra
2. Iguana food: V = pi*r^2*h = 3.14 * 3^2 * 8 = 226.1 in^3. Hamster food: V = 3.14 * 2.5^2 * 10 = 196.3 in^3.

Algebra
1. Vt = 187*89*77 = 1,281,511 in^3 per truck. Vb = 24*14*27 = 9,072 in^3 per box. 9,072in^3/box * 200boxes = 1,814,400 in^3 of space needed. 1,281.511*N = 1,814,400. N = 1,814,400/1,281,511 = 1.4 or 2 trucks.

math
As = 2(W*h) + 2(L*h) + 2(L*W). As = 2(6*3) + 2(11*3) + 2(11*6) = 234 m^2. Does W = 6mm or 6 m ?.

physics
Connect a resistor in series with lamp.

Physics/Mechanics
M1 = 150g = 0.150 kg. M2 = 100g = 0.10kg. M1*V1 + M2*u = M1*4 + M2*4. 0.150*0 + 0.10*u = 0.15*4 + 0.10*4. 0.1u = 1.0, u = 10 m/s. KE1 = 0.5M*u^2 = 0.5*0.1 * 10^2 = 5 Joules = Total kinetic energy before collision. KE2 = 0.5M1*V1^2 + 0.5*M2*V2. KE2 = 0.5*0.15*4^2 + 0.5*0.10*4^2...

physics
Connect a resistor in series with it.

Algebra
a. V^2 = Vo^2 + 2g*hc. hc = (Vf^2-Vo^2)/2g = Ht. above the cliff. b. h max = ho + (Vf^2-Vo^2)/2g h max = 58.8 + (0-49^2)/(-19.6) = 181.3 m. Above gnd. c. V = Vo + g*Tr = 0. 49 -9.8Tr = 0, Tr = 5 s. = Rise time. h max = 0.5g*Tf^2 = 181.3. 4.9Tf^2 = 181.3, Tf = 6.08 s. = Fall ...

math
F(x) = 7 - 2x. F(x+5) = 7-2(x+5). F(x+5) = 7 - 2x - 10, F(x+5) = -3 - 2x. After you multiply the terms inside the parenthesis by (-2), you move the parenthesis.

Science
V = (1.8m)^3 = 5.83 m^3. Density = 0.070kg/5.83m^3 = 0.012 kg/m^3.

Physics
M1*V1 + M2*V2 = -6.10*10^5i + 7.20*10^5. Tan A = Y/X = (-6.10*10^5)/7.20*10^5 = -0.84722, A = -40.3o = 40.3o S. of E. Resulting momentum = X/Cos A = 7.20^10^5/Cos(-40.3) =

Physics
Remember that the total momentum before the collision = The total momentum after the collision.

Physics
Resulting momentum: M1*V1 + M2*V2 = 4.60*10^4i + 6.25*10^4. Tan A = Y/X =4.60*10^4/6.25*10^4 = 0.736, A = 36.4o Res. Momentum = X/Cos36.4 = 6.25*10^4/Cos36.4 = 7.76*10^4 kg km/h.

math
P = Po(1+r)^n. Po = 25 * 12 = \$300. r = 0.105/12 = 0.00875/mo. n = 1Comp/mo. * 12mo. = 12 Compounding periods. P = ?.

physical science
P = E*I = 12*0.25 = 3.0 Watts.

Math
P = Po + Po*r*t. P = 3200 + 3200*0.05*4 =

physics
0 = 5^2 - 2*10*h, 20h = 25, h = 1.25 m. A 2nd method: V = Vo + g*t 0 = 5 -10t, t = 0.5 s. h = Vo*t + 0.5g*t^2, h = 5*0.5 - 5*0.5^2, h = 2.5 - 1.25 = 1.25 m. A 3rd Method: KE = PE. 0.5M*Vo^2 = Mg*h 1.4*5^2 = 2.8*10*h 35 = 28h, h = 1.25 m. Based on the information given, your ...

physics
Vo = 5 m/s = Initial velocity. V = 0 = Final velocity = Velocity at max. ht. g = -10 m/s. V^2 = Vo^2 + 2g*h. h = ?.

math
P = Po + Po*r*t. r = 1.14/12 = 0.095/mo. = Monthly % rate. 12,150 = Po + Po*0.095*25, Po = ?.

science
The ball is considered a free fall after reaching it's max. ht.

science
Vo = 25 m/s. V = 35 m/s. d = 500 m. Fk = 800 N. V^2 = Vo^2 + 2a*d. 35^2 = 25^2 + 2a*500. a = ?. 35^2-25^2 = 1000a, a = 0.6 m/s^2. F-Fk = M*a. F = ?.

Science
Oops! Not anonymous.

Math! Help Hurry!
post.

Math! Help Hurry!
Cubes = Vp/Vc. 96 = Vp/(1/2)^3, Vp = (1/2)^3 * 96 =

Math! Help Hurry!
Vr = L*W*h = 8 * 4 * 2.25 = 14.22 in^3 = Vol. of rectangle. Vc = L*W*h = 0.25 * 0.25 * 0.25 = (0.25)^3 = 0.0156 in^3 Vr/Vc = 14.22in^3/0.0156in^3 = 910 Cubes.

P = Po(1+r)^n = 20,000. r = 0.1/yr * 0.25yr. = 0.025 = Quarterly % rate expressed as a decimal. n = 4Comp/yr * t yrs. = 4t. 15,000(1.025)^4t = 20,000. (1.025)^4t = 20,000/15,000 = 1.333, 4t*Log1.025 = Log1.333. 4t = Log1.333/Log1.025 = 11.7, t = 2.91 Yrs.

physical science
PE = M*g*h =

science
a. An ideal jack: Work output = Work input = 2750 J. b P = Work/t = 2750J./8s.= 344 J/s = 344 Watts. c. Efficiency = Po/Pi = 344/344 = 1.0 = 100 %.

science
See 4:55 PM post.

science
M*g = 645 * 9.8 = 6321 N. = Wt. of of the mass. = Normal force, Fn. Fex = 15,000 N. Fk = u*Fn = 0.8 * 6321 = 5057 N. = Force of kinetic friction. Fex-Fk = M*a. a = ?.

Physics
b. I/(pi*r^2) = 1.59e2/4. r = ?.

Physics
Replace each parallel combination by a single equivalent resistor : R1 = 8 Ohms, R2 = 12 Ohms, R3 = 24 Ohms. 1/Req1 = 1/8 + 1/12 + 1/24. 1/Req1 = 3/24 + 2/24 + 1/24 = 6/24. Req1 = 24/6 = 4 Ohms. R4 = 10 Ohms, R5 = 10 Ohms, R6 = 20 Ohms. 1/Req2 = 1/10 + 1/10 + 1/20. 1/Req2 = 2...

Elastic Collisions-Physics
M1*V1 + M2*V2 = M1*V3 + M2*V4. 0.16*1.2 + 0.16*0 = 0.16*0.6 + 0.16*V4. V4 = ?.

Math
4^(x/4) = 1^x. 1 raised to any power = 1: 4^(x/4) = 1. 4^0 = 1, Therefore, x/4 = 0, X = 0.

Math
1. Or 4^x = 2. (2^2)^x = 2^1, 2x = 1, X = 0.5.

Math
1. 4^x = 2. Take Log of both sides: x*Log4 = Log2, X = Log2/Log4 = 0.5.

P = Po(1+r)^n = 4298.73. Po = \$3500. n = 1comp./yr. * 3yrs = 3 Compounding periods. 3500(1*r)^3 = 4298.73, (1+r)^3 = 4298.73/3500 = 1.228, Take cube root of both sides: 1+r = 1.071, r = 0.07/yr.

math
L = 2/3 * 5cm =

physics
Change = 100km[45o] - 100km[90o]. 100*Cos45 + 100*sin45(i) - 100i = 70.7 + 70.7i - 100i = 70.7 - 29.3i = 76.5km[-22.5o] = 76.5km[22.5o] S. of E. Change = 76.5 km.

Algebra
d = 5.88*10^12mi/light-yr. * 320light-yrs. = 1.88*10^15 miles.

pre calc
Yes,thanks!

pre calc
(900,000 - 800,000)/2 = 50,000/yr. P = 800,000 - (50.000/yr. * 3yrs) = 800,000 - 150,000 = 650,000.

math
ab = 8, a^2 + b^2 = 16. (a + b)^2 = a^2 + 2ab + b^2 = (a^2 + b^2) + 2ab. 16 + 2*8 = 32.

algebra 1
F(x) = Y = -2x^2 + 4x + 1. a. h = Xv = -B/2A = -4/-4 = 1 = Axis of symmetry. b. k = -2*1^2 + 4*1 + 1 = 3. V(h,k) = (1,3). c. Use the given Eq(Y = -2x^2+4x+1) to calculate "Y" for each value of "X" shown below. (X,Y). (-2, (-1, (0,1). (1,3)V. (2, (3, (4, Use...

Math,science,social,Hindi,english
F = M*g = 50 * 9.8 = 490 N. Power = F * d/t.

physics
95 km/h = 95,000m/3600s = 26.4 m/s. V^2 = Vo^2 + 2a*d. V^2 = 26.4^2 - 8.4*80 = 24.96, V = 5 m/s. The car is still moving after traveling 80 m. Therefore, the car hits the deer!

Physics
d. 1. Increase Fap; 2. Decrease Fk.

Physics
b. F(net) = Fap-Fk = 3700 - 189 = 3511 N. c. F(net) = M*a. 3511 = 4700a, a = 0.747 m/s^2. d. 1.

physics
F = M*g = 200 * 10 = 2000 N. Work = F*d/0.8 = 2000 * 3/0.8 =

Physics
L = 0.375 m. p = 2.4*10^-8 Ohm m. r = 0.590/2 = 0.295 mm. = 2.95*10^-4 m. A = pi*r^2 = 3.14*(2.95*10^-4)^2 = 2.7*10^-7 m^2. R = pL/A = 2.4*10^-8*0.375/2.7*10^-7 = 0.033 Ohms. I = V/R = 1.7/0.033 = 51A.