# Posts by Henry

Total # Posts: 13,538

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.

1. d = 66t. 5. Y - 3x + 3. 7. (-2,-16), (-1,-6), (0,4). (1,14), (2,24).

physics
125g = 0.125kg, 172.5g = 0.1725 kg. a. M1*V1 + M2*V2 = M1*V3 + M2*V4. 0.125*V1 + 0.1726*0 = 0.125*0.10 - 0.1725*0.58. 0.125V1 = 0.0125 - 0.10 = -0.0875, V1 = -0.70 m/s. = 0.70 m/s To the left.

Math
p = 8/(8+40) = 8/48 = 1/6.

Physics
M*g = 0.1035 * 9.8 = 1.014 N. = Wt. of object. = Normal force(Fn). F = 86.2 N/m * 0.132m = 11.4 N. Fk = u*Fn = 0.47 * 1.014 = 0.477 N. = Force of kinetic friction. F-Fk = M*a. 11.4 - 0.477 = 0.1035a, a = ?.

Math
Bags s (5 3/8)/(1/4) = (43/8)/(1/4) = 43/8 * 4/1 = 172/8 = 21 4/8 = 21 1/2 Bags or 21 Full bags.

Physics
Work = F * d = Mg * d = 25*9.8 * 2 = 490 J. sin30 = 2/L. L = 4 m. = Length of incline. Fp = Mg*sin30 = 25*9.8*sin30 = 122.5 N. = Force in parallel with the incline. Work = Fp*L = 122.5 * 4 = 490 J.

Physic
M*g = 10 * 9.8 = 98 N. = Wt. of box. a. Work = F*d = 100*Cosw50 * 27 = b. Fn = 98-100*sin50 = Fk = u*Fn. Work = Fk*d = d. Work = Fn*d

Physics
M*g = 9.8M = Wt. of skier. Fp = 9.8M*sin30 = 4.9M. = Force parallel to the slope. Fn = 9.8M*Cos30 = 8.49M. = Normal force. Fk = u*Fn = u*8.49M Fp-Fk = M*a. 4.9M-u*8.49M = M*2, Divide both sides by M: 4.9-8.49u = 2, u = 0.342 = Coefficient of kinetic friction.

Algebra
50 min. = 5/6 h. t h. = time to get to work. (5/6-t) h. = time to return home. r1 * t = r2 * (5/6-t) 45 * t = 30 * (5/6-t). 45t = 25 - 30t, t = 1/3 h. 5/6-t = 5/6 - 1/3 = 5/6 - 2/6 = 3/6 = 1/2 h. d v= 45 * 1/3 = 15 mi.

Algebra
h = -16t^2 + 48t + 160. a. V = Vo + g*Tr. 0 = 48 - 32Tr, Tr = 1.5 s. = Rise time. b. h = -16*1.5^2 + 48*1.5 + 160 = 196 Ft. above gnd. c. h = 0.5g*Tf^2. 196 = 16Tf^2, Tf^2 = 12.25, Tf = 3.5 s. = Fall time. Tr + Tf = 1.5 + 3.5 = 5 s. = Time to hit gnd. d. h = -16*2^2 + 48*2 + ...

electrical
Io = 20/(5+6) = 1.82A. = Output current. Po = (1.82)^2 * 6 = 19.83 Watts. Io^2 * Rt = 19.83. (1.82)^2 * Rt = 19.83, Rt = 2.06 Ohms. 6*X/(6+X) = 2.06. 6X = 12.36 + 2.06X, 3.94X = 12.36, X = 3.14 Ohms.

math
Thanks, Reiny! I see my mistake now: I should have added instead of multiplying.

math
John is X yrs. old. Pamela is (X-8) yrs. old. 5x + 5(x-8) = 40. X = ?, (x-8) = ?. The numbers don't add-up; check your problem for typos.

Math
There are 52 white keys on a piano. The lowest key is A. The keys are designated A, B, C, D, E, F, and G in succession, and then the sequence of letters repeats, ending with a C for the highest key. a) If five notes are played simultaneously, in how many ways could the notes ...

Physics
M*g = 103 N. = Wt. of box. M = 103/g = 103/9.8 = 10.5 kg. Fn = 103*Cos 0 + 25 = 128 N. = normal force. Fk = u*Fn = 128u. Fx-Fk = M*a. 20-128u = 10.5*(-0.9), u = ?.

math
Tan A = h/L = 10/20 = 0.5. A = ?.

algebra
X Qtrs.. 77-x nickels.. 25x + 5(77-x) = 1385 cents. X = ?, 77-x = ?.

Maths
r= 0.8m/0.5s = 1.6 m/s.

Physics
d = V*t. 170 = V*1.1, V = ?.

physics
Let M1 = 2kg. M2 = 1 kg. W1 = F1*d1 = (M1g)*(25-5) = (2*9.8)*20 = W2 = (1*9.8)*(24-14) = W1/W2 =

physics
Power = F*d/t = Mg*d/t = 588*10/8 = 735 J/s = 735 Watts.

physics

physics

Physics
1. M1*V1 + M2*V2 = M1*V + M2*V. 1000*50 - 1000*20 = 1000V + 1000V, 30,000 = 2000V, V = 15 m/s. 3. Momentum = 2000*50 - 2000*20 = 60,000 kg*m/s.

Correction: Please disregard the solution in part b.

a. Mg = (2220+3220)*9.8 = 53,312 N. = Wt. of the barges. Fap = 34,000 N. Fk = 8,000 + 10,000 = 18,000 N. Fap-Fk = M*a. 34,000-18,000 = 5440*a, a = ?. b. (M1+M2)*g =

comsumer math
9. 1151.65/mo. * 4mo. = \$4606.60 = Amt. saved. I = Po1*r1*t + Po2*r2*t. Po1 = 0.25*4606.60 = \$1151.65. Po2 = 0.75*4606.60 = \$3454.95. I = 1151.65*(0.033/360)*60 + 3454.95*(0.043/360)*60 = 6.33 + 24.76 = \$31.09 Total. 10. I = 4606.60*(0.033/360)*60 = \$25.34. Diff. = 31.09-25.34...

Physics

trigonometry
Vr = 185km/h[120]+32km/h[165]. X = 185*Cos120 + 32*Cos165 = -123.4 km/h. Y = 185*sin120 + 32*sin165 = 168.5 km/h. Tan A = Y/X = 168.5/(-123.4) = -1.36548, A = -53.8o = 126.2 CCW. Vr = Y/sin(126.2) = 168.5/sin(126.2) = 209km/h[126.2o].

geometry
Please proof-read your work. L = 25*Cos36 = W = 25*sin36 = Ar = L*W. = Area of rectangle. Pr = 2L + 2W. At = 0.5L*W = Area of triangle. Pt = L+W+25.

Personal Finance
P = Po + Po*r*t. t = 90days/360days = 0.25 yrs. 100 = 95 + 95*r*0.25. r = ?.

1. Given: m = 3/4. P(4,7). Y = mx + b. 7 = (3/4)4 + b, b = 4 = Y-intercept. P1(0,4). 2. X/Y = Z. X = 0. If Y = 0, X/Y would be undefined. I'm assuming "a" is a constant. 3. (2x^2+4x-30)/(x-3) = 2(x^2+2x-15)/(x-3) = 2(x-3)(x+5)/(x-3) = 2(x+5). 4. Cubic inches. 5...

Álgebra
The lateral area is the sum of the areas of all of the vertical sides(4). Lateral Area = 2(W*h) + 2(L*h).

Science
Incomplete.

Phyiscs
Incomplete.

Maths
1. P = Po*(1+r)n. Po = \$300.000. r = 0.12/12 * 2mo. = 0.02 = Bi-monthly % rate expressed as a decimal. n = 6comp./yr. * 3yrs. = 18 Compounding periods. 300,000 = Po(1+0.02)^18. Po = 300,000/1.02^18 = \$210,048. 2. Same procedure as #1 except for 5 yrs. and \$500,000.

Science
g = 9.8 m/s^2 on earth. g = 1.6 m/s^2 on the moon. So the wt. of an object is less on the moon because the acceleration due to gravity is less. Wt. = M*g. The mass doesn't change.

Math
A. (15dogs/12cats) * 100% = B. ((15-3)/15) * 100% = C. Questions B and C are identical. D. E. 0.14 * 33 = 4.62?. Check your problems for accuracy.

math
a. M = 64grams/4wafers = 16 grams = 0.016 kg. b. Wafers = 4wafers/0.016kg * 3.2kg =

physics
M*g = 25 * 9.8 = 245 N. = Wt. of child. At bottom of slide: a. PE = Mg*h = 245*4 = 980 J. b. KE = 0.5M*V^2 = 0.5*25*5^2 = 312.5 J. c. PE-KE = Energy lost to friction.

Physics
h = 0.5g*t^2. 54 = 4.9t^2, t = 3.32 s. = Fall time. d = V*t, 130 = V*3.32, V = ?. V in m/s.

math
Remainder = 8/8 - 1/8 = 7/8. a. 1/2 * 7/8 = 7/16 of the money. b. 7/8 - 7/16 = 14/16 - 7/16 = 7/16 Remaining. c. 7/16 * \$240. =

Math
15. 0.42 * 175 = 18. 100% + 15% = 115%. 1.15 * 15.50 = 19. Tax = 0.07 * 550 = 20. Discount = 0.4 * 160 =

Math
10. 3.6/8 = Y/5. 11. 0.65, 13/20. 13. 1 - 5/25 = 5/5 - 1/5 = 4/5 = 0.80 = 80%. 14. L/W = 8/4 = 20/W. W = ?.

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