# Posts by henry

Total # Posts: 13,500

Science: Physics
1. P = E*I= 2500. 230I = 2500, I = 10.9A. 2. R = E/I. 3. T = 365 * 15/60 = 91.25 h/yr. 4. Energy = kW * h = 2.5 * 91.25 = 228.125 kWh.

physics
R = 1.02 + 0.0039*(60-20)= 1.176 Ohms.

math

maths
3.25x + 3.85(80-x) = 272. 3.25x - 3.85x + 308 = 272, X = ?.

Algebra 1
Multiply Eq1 by 3, and convert Eq2 to standard form: Eq1: 6x + 3y = 9. Eq2: 6x + 3y = 9. The 2 Eqs are identical. Therefore, we have an infinite number of solutions.

math
5F + 5S = 575. F = S+15. 5(S+15) + 5S = 575.

Physics
Are you sure the child is only 5 m ahead? Vo = 50km/h = 50,000m/3600s = 13.89 m/s. a. V = Vo + a*t = 0. 13.89 + a*5 = 0, a = -2.80 m/s^2. V^2 = Vo^2 + 2a*d. V = 0, Vo = 13.89 m/s, a = -2.80m/s^2, d = ?. b.

Math
Or 5/4 = 1.25 = 125%. 125% - 100% = 25%.

physics
See previous post: Thu, 12-15-16, 9:33 PM.

PHYSICS
What is the question?. Vo = 30m/s[60o]. Xo = 30*Cos60 = 15 m/s. Yo = 30*sin60 = 25.0 m/s. Range = Vo^2*sin(2A)/g. A = 60o. Y^2 = Yo^2 + 2g*h. Y = 0, Yo = 25 m/s, g = -9.8 m/s^2, h = ?.

p[hysics
See previous post: Thu, 12-15-16, 9:33 PM.

PHYSICS HELP!!!!!
Vo = 25m/s[20o]. Xo = 25*Cos20 = 23.5 m/s. Yo = 25*sin20 = 8.55 m/s. Y = Yo + g*Tr = 0. 8.55 - 9.8Tr = 0, Tr = 0.873 s. = Rise time. Y^2 = Yo^2 + 2g*h = 0. (8.55)^2 - 19.6h = 0, h = 3.73 m. Above the cliff. 0.5g*Tf^2 = 3.73+8.4 4.9Tf^2 = 12.13, Tf = 1.57 = Fall time. Dx = Xo(...

PHYSICS HELP
Tan A = Y/X = (-50)/400 = -0.125, A = -7.125o = 7.125o S. of E.

PHYSICS HELP
X = 400 km/h. Y = 50 km/h. V = sqrt(X^2+Y^2).

physics hw
Vo = 87km/h = 87,000m/3600s = 24.2 m/s. = Initial velocity. a. d1 = 24.2 * 2 = V^2 = Vo^2 + 2a*d2. V = 0, Vo = 24.2 m/s, a = -4.0 m/s^2, d2 = ?. d1+d2 = Stopping distance. b. V^2 = Vo^2 + 2a*d2. V = 0, Vo = 24.2 m/s^2, a = -8.0 m/s^2, d2 = ?. d1+d2 = stopping distance.

physics
V1 = a*t = 2.5 * 5 = 7.5 m/s. a. V2 = V1 + a*t = 7.5 -(3 * 2) = 1.5 m/s. After the braking period. b. d1 = 0.5a*t^2 = 0.5*2.5*5^2 = 31.25 m. d2 = V1*t + 0.5a*t^2. d2 = 7.5*2 - 0.5*3*2^2 = 9 m. d = d1+d2 = 31.25 + 9 = 40.25 m.

physics
V^2 = Vo^2 + 2g*h = 0 + 19.6*29 = 568.4, V = 23.8 m/s. Work = KE2-KE1 = KE2-0 = KE2. Work = KE2 = 0.5M*V^2 = 0.5*41,000*(23.8)^2 = 11.7*10^6 J. Work = F*d = F*29 = 11.7*10^6, F = 4.03*10^5 N. d = 1m/4.1*10^5N. * 4.03*10^5N. = = 0.983 m.

Physics
M*g = Wt. of box = Normal force(Fn). Fp = Mg*sin o = 0. = Force parallel to the surface. Fk = u*Fn = u*M*g. V^2 = Vo^2 + 2a*d = (3.3)^2. (4.56)^2 + 2a*0.7 = 10.9, a = -7.07 m/s^2. Fp-Fk = M*a. 0-u*Mg = M*(-7.07), 0-u*M*9.8 = -7.07M, Divide both sides by -9.8M: u = 0.722.

Physics
Vo = 17.7 m/s[39.8o]. Yo = 17.7*sin(39.8) = 11.33 m/s. = Vert. component of Vo. Y = Yo + g*Tr = 0. 11.33 - 9.8Tr = 0, Tr = 1.16 s. = Rise time. T = Tr+Tf. Tf = Tr. T = Tr+Tr = 1.16 + 1.16 = 2.32 s.

Physics
A. F = M*g*30 = 71*9.8*30 = 20,874 N. = 2.09*10^4 N. B. Vo = 95km/h = 95,000m/3600s = 26.4 m/s. F = M*a = -20,874. a = -20,873/71 = -294 m/s^2. V^2 = Vo^2 + 2a*d. V = 0, Vo = 26.4 m/s, a = -294 m/s^2, d = ?.

P = Po - Po*r*t. P = 9500-9500*(0.10/365)*95 = \$9252.74. = Proceeds.

Math
db = 10*Log(Po/75) = 12. Log(Po/75) = 1.2, Po/75 = 10^1.2, Po = 1189 W.

Physics
a. Vo = 20m/s[45o]. Xo = 20*Cos45 = 14.14 m/s. Yo = 20*sin45 = 14.14 m/s. Y = Yo + g*t = 0. 14.14 - 9.8t = 0, t = 1.44 s. b. Y^2 = Yo^2 + 2g*h = 0. (14.14)^2 - 19.6h = 0, h = ?. c. Range = Vo^2*sin(2A)/g. A = 45o. d. T = Tr+Tf. Tf = Tr, T = Tr+Tr = 1.44 + 1.44 = 2.88 s. d.

Math
Invested: Po @ 2%. (2Po+2300) @ 9%. t = 1 yr.? I = Po*r*t + (2Po+2300)*r*t = 647. Po*0.02*1 + (2Po+2300)*0.09*1 = 647, 0.02Po + 0.18Po + 207 = 647, 0.20Po = 440, Po = \$2200. 2Po+2300 = 2*2200 + 2300 = \$6700.

Mathematics
1. (8,11). y/x = 11/8, Y = 1.375x. 2. correct. 3. y/x = 232/4 = 58/1. 4. (2,5), (8,3). m = (3-5)/(8-2) = -2/6 = -1/3.

math
Correction: 360cm^3/2^3 = 45 Cubes.

physics
Work = KE2-KE1 = KE2-0 = KE2. KE2 = 0.5M*V^2 = 10,000 J. 500*V^2 = 10,000, V = ?.

Physics
a. M*g = 1.35 * 9.8 = 13.2 N. = Wt. of book. = Normal force(Fn). Fs = us*Fn = 0.45 * 13.2 = 5.95 N. F-Fs = M*a. F = Fs+M*a = 5.95+M*0 = 5.95 N. b. Fk = uk*Fn = 0.30 * 13.2 = 3.96 N. F-Fk = M*a. a = (F-Fk)/M. c. Fap-Fk = M*a. Fap = Fk+M*a = 3.96 + M*0 = 3.96 N. = Force applied...

Physics
e. Fnet = M*a. a = Fnet/M.

Physics
a. M*g = 475 * 9.8 = 4655 N. = Wt. of sleigh. = Normal force(Fn). b. Fs = u*Fn = 0.20 * 4655 = c. Fk = uk*Fn = 0.15 * 4655 = d. Fnet = Fh-Fk = 150,000-4655 =

Science
F = M*a. = 20. a = 20/M = 20/60 = 0.333 m/s^2.

physics
See previous post: Sun, 12-11-16, 7:32 PM.

Physics
M*g = 180 * 9.8 = 1764 N. = Wt. of trunk. Fn = 1764 - 400*sin15 = 1661 N. = Normal force. Fap*Cos A-Fk = M*a. Fk = Fap*Cos A-M*a = 400*Cos15-M*0 = 386.4 N. = Force of kinetic friction. Fk = u*Fn = 386.4. u = 386.4/Fn = 386.4/1661 = 0.233 = Coefficient of kinetic friction.

Physics
3. V = Vo + a*t = 0. 25 + a*8 = 0, a = -3.1025 m/s^2 Thrust = M*a = 958/9.8 * (-3.125) = -305.5 N. 5. M*g = 3.0 * 9.8 = 29.4 N. = Wt. of block = Normal(Fn). Fs = u*Fn = 0.4 * 29.4 = 11.8 N. 7. M*g = 50 * 9.8 = 490 N. = Wt. of box = Normal(Fn). Fk = u*Fn = 0.35*490 = 171.5 N. F...

Physics
Y^2 = Yo^2 + 2g*h = 0. Yo^2 - 64*20 = 0, Yo = 35.8 Ft/s. Vo*sin30 = 35.8, Vo = 71.6 Ft/s.

algebra
See previous post: Sun, 9-11-16, 2:24 PM.

algebra
Donuts: \$X ea. Coffee: \$Y ea. Eq1: 3x + 4y = 4.91 Eq2: 5x + 6y = 7.59 Multiply Eq1 by 5 and Eq2 by (-3): +15x + 20y = +24.55 -15x - 18y = -22.77 Sum: 2y = 1.78, Y = 0.89 In Eq1 replace Y with 0.89: 3x + 4*0.89 = 4.91. X = ?

algebra 1
Right!

algebra 1
(-3,-7), (-5,-7). m = (-7-(-7))/(-5-(-3)) = 0/-2 = 0. Y = mx + b = -7. 0*x + b = -7, b = -7, Eq: Y = -7 = A horizontal line.

algebra 1
X 2-pointers. (16-x) 3-pointers. 2x + 3(16-x) = 38, 2x + 48 - 3x = 38, X = 10. 16-x = 16-10 = 6.

algebra
X 2-pointers. (16-x) 3-pointers. 2x + 3(16-x) = 38, 2x + 48 - 3x = 38, X = 10. 16-x = 16-10 = 6.

math
post it.

Algebra
x^2 - 6x + 9 > 0. (x-3)^2 > 0, Take sqrt of both sides: x-3 > 0, X > 3.

Algebra
h(t) = 240 - 16tT^2 = 0. 16t^2 = 240, t = 3.87 s. 6

Math
a. Net Cash = 780,000 - 270,000 - 60,000 - 0.05(780,000-200,000) = \$421,000.

Algebra
18a. F(x) = x - 5. 18b. F(x) = x - 0.25x = x(1-0.25) = 0.75x.

math
Randy: 28min.-11.0 s. Julie: 28min.-03 s. Pat: 28min.-2.9 s.

Science physics
See Related Questions: Feb 13, 2008, 11:12 PM.

Physics
%Eff. = Output/Input * 100% = 40/150 * 100% =

Trigonometry

Trigonometry

math
d = V*t = 21*10^6 m. t = 21*10^6/3*10^8 = 7*10^-2 s. = 70 ms.

Algebra
2. (-2,-3), (1,1). m = (y2-y1)/(x2-x1) = (1-(-3))/(1-(-2)) = (1+3)/(1+2) = 4/3. 4. 24/8 = y/10, Y = 30. 5. Y = (2/3)x + 9. 6. (1,-3), (3,1). m = (1+3)/(3-1) = 2. Y = 2x + b = -3. 2*1 + b = -3, b = -5. Eq: Y = 2x - 5.

Mathematics
I = Po*r*t = 800*0.02*2 = \$32.

Physics
M*g = 15 * 9.8 = 147 N. = Wt. of box. Fp = 147*sin30 = 73.5 N. = Force parallel to the incline. Fx = Fp*Cos30 = 73.5*Cos30 = 63.6 N.

Physics
M*g = 1.5, M = 1.5/g = 1.5/9.8 = 0.153 kg. PE = Mg*h = 1.5 * 4 = 6.0 J. V^2 = Vo^2 + 2g*h = 0 + 19.6*4 = 78.4 (m/s)^2. KE = 0.5M*V^2 = 0.5*0.153*78.4 = 6.0 Joules. Energy Lost = PE - KE = 6-6 = 0.

PreCalc
A = Po(1+r)^n. Po = \$14,000. r = 0.052/12 = 0.0043/mo. n = 12comp./yr. * t yrs. = 12t compounding periods.

Maths
Bisi is X yrs. old. Musa is (x+12) yrs. old. Four yrs. later: Bisi is (x+4) yrs. old. Musa is 2(x+4) = 2x+8. 2x+8 = (x+4) + 12. 2x+8 = x+16, X = 8. x+12 = 8+12 = 20.

Physics
Vo = 5.6m/s[10o]. Xo = 5.6*Cos10 = 5.51 m/s. Yo = 5.6*sin10 = 0.97 m/s. Y^2 = Yo^2 + 2g*h = 0. 0.97^2 - 19.6h = 0, h = 0.048 m. Y = Yo + g*Tr = 0. 0.97 - 9.8Tr = 0, Tr = 0.099 s. = Rise time. 0.5g*Tf^2 = (0.048+3). 4.9Tf^2 = 3.048, Tf = 0,789 s. = Fall time. Dx = Xo*(Tr+Tf) = ...

MATH
11,450-10,000 = \$1450 = profit on the remaining 2/3. 1450/10,000 * 100% = 14.5 % = Gain % on remaining 2/3.

MATH
15,000/3 = \$5,000 = selling price to break even. 0.95 * 5000 = \$4750 = selling price. Loss = 5000-4750 = \$250. 10,000 + 250 = \$10,250 = selling price to break even. 15,000 * 1.08 = \$16,200 = total selling price for 8% profit. 16,200-4750 = \$11,450 = Selling price of the ...

Math
M*g = 2 * 9.8 = 19.6 N. = Wt. of flowers. Fp = 19.6*sin A. = Force parallel with incline. Fn = 19.6*Cos A. = Normal force. Fs = u*Fn = 0.4*19.6*Cos A = 7.84*Cos A. = Force of static friction. Fp-Fs = M*a. 19.6*sin A-7.84*Cos A = M*0 = 0, 19.6*sin A = 7.84Cos A, 19.6*sin A/Cos ...

mathematics
A = L*W + 2W*h + 2L*h. A = 11*8 + 2(8*5) + 2(11*5) = 278 ft^2.

Math
(Vb-Vr) * T1 = 36 (Vb-Vr)3 = 36 Eq1: Vb - Vr = 12 (Vb+Vr) * T2 = 36 (Vb+Vr)2 = 36 Eq2: Vb + Vr = 18 Add Eq1 and Eq2: Vb - Vr = 12. Vb + Vr = 18. Sum: 2Vb = 30, Vb = 15 mi/h. In Eq1, replace Vb with 15: 15 - Vr = 12, Vr = 3 mi/h.

Math

Propotion
When speed = 60km/h. time = T1. When speed = 80 km/h, time = (60/80)T1 = 0.75T1.

ALGEBRA PLZ HELP!1
L = 2in * 12ft/1n = 24 ft. W = 1.75in * 12ft/1n =

Math
10/35 = 8/W. W = ?.

Math
Length = 12 cm. Width = 1/1.414 * 12cm = 8.49 cm. Area = L * W.

math
65%/35% * 20Litres. = 37.1 Litres.

Physics
Va = 65mi/h * 1600m/mi * 1h/3600s = 28.9 m/s. F1 = (Vs+Vp)/(Vs-Va) * Fa. F1 = (330+0)/(330-28.9) * 500 = 548.0 Hz. F2 = (330-0)/(330+28.9) * 500 = 459.7 Hz. F1-F2 = 548 - 459.7 = 88.3 Hz. = Total shift in freq.

math
P = Po(1+r)^n. Po = 200 r = (9%/12)/100% = 0075/mo. n = 1comp./mo. * 24mo = 24 Compounding periods. P = 200(1.0075)^24 = \$239.28

FINANICIAL
Po = 46,000/(1.0755)^12 = \$19,205.82

FINANICIAL
P = Po(1+r)^n = 46,000. r = 7.55%/100% = 0.0755. n = 1comp./yr. * 12yrs. = 12 Compounding periods. Po = ?.

Physics
h = 0.5g*t^2 = 2.4-0.91. 4.9t^2 = 1.49. t1 = 0.551 s. d1 = Xo*t1 = 22.3 * 0.551 = 12.3 m. = Distance from back line to net. 0.5g*t2^2 = 2.4. 4.9t2^2 = 2.4, t2 = 0.70 s. to fall to gnd. d2 = Xo*t2 = 22.3 * 0.7 = 15.6 m. = Maximum distance travelled. a. Yes. b. d = 12.3 + 6.4 = ...

algerba
X pennies, and Y nickels. Eq1: 1x + 5y = 920 cents. Eq2: 5x + 1y = 2680 cents. -5x - 25y = -4600 +5x + 1y = 2680 Sum: -24y = -1920 Y = 80 nickels. In Eq1, replace Y with 80: x + 5*80 = 920, X = 520 Pennies.

MATH
Po = 46,000/(1.0755^12) = \$19,205.82 = Amt. invested now.

math algebra
A = P*e^rt. P = \$2,000 rt = 0.0475/yr. * 30yrs. = 1.425. A = ?.

Math
W = -(40*Cos30+60*Cos(theta)). -40*sin30 + 60*sin(theta) = 0. 60*sin(theta) = 40*sln30, sin(theta) = 2/3 * sin30 = 0.3333, theta = 19.5o W = -(40*Cos30+60*Cos19.5) = -91.2 N.

physics

physics
M*g = 30, g = 30/M.

physics
d = 0.5g*t^2.

Science
d = 0.5a*t^2 = 1500 m. 2.5*t^2 = 1500, t = 24.5 s.

physics
Range = Vo^2*sin(2A)/g.

Physics
See previous post.

Science Physics
See previous post: Wed, 11-30-16, 11:53 AM.

Science, physics
You have 2 vectors: one pointing north and one pointing west. Vr = -6 + 15i = 16.2km/h[-68.2o] = 16.2km/h[68.2o] N. of W.

Science
KE = 0.5M*V^2. KE = 0.5M*(V/2)^2 = 0.5M*V^2/4. So KE is reduced by a factor of 4(divided by 4).

physics
a. Vm - 2i = 4.2. Vm = 4.2 + 2i = 4.65m/s[25.6o] N. of E. = Velocity and Heading. b. Vm = 4.65m/s[25.6o]. c. d = Vm*t = 800. t = 800/Vm = 800/4.65 = 172 s.

Algebra
When B^2-4AC < 0, No real solutions. When B^2-4AC = 0, One real solution. When B^2-4AC > 0, Two real solutions.

Algebra
1. X = (-B +- Sqrt(B^2-4AC))/2A. X = (-0.8 +- sqrt(0.64+2.96))/-0.04 = -27.43, and 67.43. Solution: X = 67.43. 2. 0 = 5x^2+2x-12. B^2 - 4AC = 4 - (-240) = 244. Two solutions. 3. -8x^2 - 8x - 2 = 0. B^2-4AC = 64 - 64 = 0. One solution.

consumers math
Ar = Ab-I = Ab - Ab*r*t. Ar = 290 - 290*(0.16/360)*90, Ar = 290 - 11.60 = \$278.40 = Amt. received(proceeds). I = \$11.60.

precalculus
See previous post: Tue, 11-29-16, 3:33 PM.

Math
1. When X = 5, Y = 3*5 = 15. Since Y varies directly with X, Y will ALWAYS be 3 times X: Y = 3x. 2. Slope-Intercept Form: Y = (-2/3)x - 1. Multiply both sides by 3: 3y = -2x - 3, Add 2x to both sides: 2x + 3y = -3,

pre-calculus

math
See previous post: Tue, 11-29-16, 5:38 PM.

maths
a. 4.8kg/(0.25kg/pk.) = 19.2 or 19 packets. b. 250g/pk. * 0.2pk. = 50 g.

pre calculus
Eq2 was obtained by multiplying both sides of Eq1 by 2. Therefore, the two Eqs are identical. So we have an infinite number of solutions.

pre calculus
Eq2 was obtained by multiplying both sides of E

science
Circumference = pi*2r = 3.14 * 0.5 = 1.57 m. Vo = 72,000m/3600s * 6.28rad/1.57m = 80 rad/s. d = 20rev * 6.28rad/rev = 125.6 rad. V^2 = Vo^2 + 2a*d. V = 0, Vo = 80 rad/s, d = 125.6 rad, a = ?. "a" will be negative.

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