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Posts by Henry

Total # Posts: 13,504

Easy Maths QuestioPn
1. Y = 5.80n. 2. P = 5.80n - 0.8n - 1250, P = 5n - 1250. 3. P = 5n - 1250 = 0, n = 250.

electrical energy and power
Pi = E*I = 240 * 7.5 = 1800 W. 2hp * 746W/hp = 1492 W. Eff. = Po/Pi = 1492/1800 = 0.829 = 82.9%.

algebra
(2m-4)(m^2+2m+4) = 2m^3 + 4m^2 + 8m-4m^2-8m-16 = 2m^3-16 = 2(m^3-8).

Science: Physics
Cost = 0.0479/kW * 228.125kWh =

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
Please correct the errors in your problem.

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 = ?.

Business Math
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
correction: 2.5rev/10s * 6.28rad/rev = 1.57 rad/s.

Trigonometry
Va = 2.5rev/10s. * 6.28rad/rev = 15.7 rad/s.

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
Please proofread your problem; it doesn't make sense as written.

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
6.28rad/rev * 2rev = 12.56 rad. 12.56rad/24h * 1h/3600s = 1.45*10^-4 rad/s.

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
A. 1rev/5.4min * 6.28rad/rev = 1.16 rad/min. B. Circumference = pi*2r = 3.14 * 78 = 245.0 feet. 5.6ft/s * 6.28rad/245ft. = 0.144 rad/s. C. 0.9rad/3s = 0.3rad/s.

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

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