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March 23, 2017

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Posts by Henry

Total # Posts: 13,329

Math
1. (8+12+14)/8 2. 45/60. 3. d = 226mi/2h * 8h = 4. 82.15/31gal. 5. Cost = 0.65/Lb * P. 1.95 = 0.65P. P = ?. 6. 6/27 = 2/9. 7. Y/22 = 3/11. Multiply both sides by 22: 8. 1/6 = 8/x Cross-multiply:
February 27, 2017

Math
Let S1 = S2 = S3 = S4 = 10 units. A1 = L*W = 10 * 10 = 100 sq. units. S1 = S3 = 1.5*10 = 15. S2 = S4 = 0.5*10 = 5. A2 = L*W = 15 * 5 = 75 sq. units. A2/A1 = 75/100 = 0.75 = 75%. P2/P1 = (2L+2W)/(4*10) = (2*15+2*5) = 40/40 = 1.00 = 100%.
February 27, 2017

Physics-Work, Energy, and Power
At the top of hill: PE = M*g*h = 56.9 * 9.8 * 8.21 = 4578 J. At bottom of hill: KE = PE - Fk*d. 0.5M*V^2 = 4578 - 11.7*31.7 0.5*56.9*V^2 = 4207, V^2 = 148, V = 12.2 m/s.
February 26, 2017

Physics
R = (1.72*10^-80/2.82*10^-8) * 0.527 Ohms = 0.321 Ohms.
February 26, 2017

Physics
R = Ro + a(T2-T1)*Ro. 55.6 = 31.8 + a(53-28)31.8. 55.6 = 31.8 + 795a, a = 0.03/deg. C = Temp. coefficient.
February 26, 2017

physics-sound
Fd = (Vs+Vd)/(Vs-Vp) * Fp. Fd = (343+17)/(343-41) * 800. = 953.6 Hz. = Freq. heard by driver of the truck. Change = 953.6 - 800 = 153.6 Hz.
February 26, 2017

physics
A. Fg = (Vs+Vg)/(Vs-Vp) * Fp. 578 = (343+0)/(343-Vp) * 475. 578 = 343/(343-Vp) * 475, Divide both sides by 475: 1.21 = 343/(343-Vp), 416-1.21Vp = 343, Vp = 60.3 m/s. B. Fg = (Vs-Vg)/(Vs+Vp) * Fp. Fg = (343-0)/(343+60.3) * 475. Since the distance between the people on the gnd. ...
February 26, 2017

Physics
M1*V1 + M2*V2 = M1*V + M2*V 0.08*50i+0.06*50j = 0.08V+0.06V. 4i + 3j = 0.14V. 5[36.9o] = 0.14V, V = 35.7m/s[36.9o]. KE before the collision: KE1 = 0.5M1*V1^2 + 0.5M2V2^2. i^2 = 1, j^2 = 1. KE after the collision: KE2 = 0.5M1*V^2 + 0.5M2*V^2. KE(Lost) = KE1-KE2.
February 26, 2017

Math
A. Y/X = 6/3 = 2/1, Y = 2x. 2/3 = 2x, X = 1/2 * 2/3 = 2/6 = 1/3. B. F = M*a, 25 = M*1.25, M = 28 kg.. F = M*a. 35 = 28*a, a = ?.
February 26, 2017

Science
a. V^2 = Vo^2 + 2g*h1. Vo = 0. b. V^2 = Vo^2 + 2g*0.5h1. Vo = 0.
February 25, 2017

Science
1. Vo = 15m/s[60o]. Yo = 15*sin60 = 13 m/s. Y^2 = Yo^2 + 2g*h. 0 = 13^2 - 19.6h. h = ?. 2. h = 4.9*t^2. 1.8 = 4.9t^2, t = ?. d = V*t. d = 8*t.
February 25, 2017

Science
1. h = 4.9t^2. 12.5 = 4.9t^2. t = ?. d = V*t. d = 8*t. 2. Y = Yo + g*t. Yo = 0, g = 9.8 m/s^2, t = Value cal. in prob. 1.
February 25, 2017

Maths
Wage = 40*18.60 + 6.5*1.5*18.60 + 4*2*18.60 =
February 25, 2017

maths
P = 6 + 6 + 6 = 18 cm. P/2 = 18/2 = 9 cm. S1/2 = S2/2 = S3/2 = 6/2 = 3 cm. At = sqrt(9*3*3*3) = 15.6 cm^2 = 5pi = Area of triangle. Ac > 5pi = 12pi.
February 25, 2017

Physics
M*g = 10 * 9.8 = 98 N. = Wt. of box. Fp = 98*sin 0 = 0. = Force parallel with the surface. Fn = 98*Cos 0 - T*sin45 = 98 - 0.707T = Normal force. Fk = u*Fn = 0.5(98-0.707T) = 49-0.354T. T*Cos45-Fp-Fk = M*a 0.707T-0-(49-0.354T) = 10*1, 0.707T+0.354T = 59, T = 55.6 N.
February 25, 2017

Physics
M*g = M*9.8 = 9.8M = Wt. of skier. Fp = 9.8M*sin30 = 4.9M. = Force parallel with 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 = 2M, u*8.49M = 2.9M, u = 0.342.
February 25, 2017

Math
A. Y = mx + b. Y = (-2/3)X + 4. B. ax + by = c. (0,-2), (3,0). m = (0-(-2))/(3-0) = 2/3. Y = mx + b. Y = (2/3)x - 2, -2x/3 + y = -2, Multiply both sides by -3: 2x -3y = 6. STD. form. C. m = -3, P(1,2). Y = mx + b. 2 = -3*1 + b, b = 5. Eq: Y = -3x + 5.
February 25, 2017

math
Tan45 = h/d, h = d*Tan45. Tan75 = h/(d-50), h = (d-50)*Tan75. Therefore, h = d*Tan45 = (d-50)*Tan75. d*Tan45 = (d-50)*Tan75. divide both sides by Tan75: 0.268d = d-50, d-0.268d = 50, d = 68.3 m. h = d*Tan45 = d = The hor. distance between point A and the foot of the tower.
February 25, 2017

Math
A. Ao = 7.5*15 + 585 = $697.50 = Initial amount. Y = 697.5 - 7.5x Y = -7.5x + 697.5. P1(X1,Y1) = (15,585). Y-Y1 = m(X-X1). Point-slope form. Y-585 = -7.5(X-15). B. Y = mx + b. Slope-intercept form. Y = -7.5x + 697.5. C. Y = -7.5*52 + 697.5.
February 25, 2017

Algebra
1st hiker walks X mi/h. 2nd hiker walks (x+2.2) mi/h. d1 + d2 = 22 miles. sx + 5(x+2.2) = 22. X = ?.
February 24, 2017

Math
L = 3.5 Ft. W = 18 1n. = 1.5 Ft. h = 2 Ft. As = 2(W*h) + 2(L*h) + 2(L*W). As = Surface area.
February 23, 2017

Trigonometry
X^2 + Y^2 = C^2. x^2 + 7^2 = 25^2, x^2 = 25^2 - 7^2 = 576, x = 24. If Cos C is negative, X is negative. Cos C = (-24)/25 = -0.96, C = 163.7o CCW from +x-axis. = 73.7o W. of N. P(-24,7).
February 23, 2017

Algebra
X is unknown until the Eqs has been solved. N or any letter can be used for the unknown. 1. 3x + 7 = -15. Isolate 3x by subtracting 7 from both sides: 3x+7-7 = -15-7, 3x = -22, divide both sides by 3: X = -22/3 = -7 1/3. 2. -2x - 6 = 12. -2x-6 + 6 = 12 + 6, -2x = 18, X = 18/-2...
February 23, 2017

Math
If a boat was 36' long and i built a model of it 18" long what scale would the model be
February 23, 2017

physics
Density = 0.72*Density of water. Density = 0.72 * 1000kg/m^3 = 720kg/m^3.
February 23, 2017

Maths
Cost of a cup = $X. Cost of a plate = $Y. Y = 4x.
February 23, 2017

Science
F = M*a. 5 = 10*a, a = 0.5 m/s^2. a = (V-Vo)/t. 0.5 = 2/t, t = 4 s.
February 23, 2017

Math
Exponential growth(n^10) is greater.
February 22, 2017

Álgebra
360o/8sections * 3sections =
February 22, 2017

physics
V^2 = Vo^2 + 2a*d. 0 = (29.17)^2 - 500*d, d = ?.
February 22, 2017

Algebra
1 st integer = X. 2nd integer = x+1. 3x + 4(x+1) = 95. x = ?.
February 22, 2017

maths
P1 = 2L + 2W = 2*15 + 2*10 = 50 M. = P2. W/L = 4/5. W = 0.8L. P2 = 2W + 2L. P2 = 2*0.8L + 2L, 50 = 1.6L + 2L, L = 13.9 M. W = 0.8L = 0.8*13.9 = 11.1 m.
February 22, 2017

Math
X = The # of min. used. C = Total cost. Plan A: C = 0.1x. Plan B: C = 0.075x + 10.
February 21, 2017

Physics
30o W. of N. = 120o CCW from + x-axis. The system is in equilibrium: A*Cos120 = - B*Cos (0). A = -B*Cos(0)/Cos120 = 2B. A*sin120 = -(-200), A = 200/sin120 = 231 Lbs. A = 2B, 231 = 2B, B = 115.5 Lbs.
February 21, 2017

physics
A. X = -23*125 = -2875 m. Y = -12*255 = -3060i. Disp. = sqrt(x^2+y^2). B. Tan A = Y/X. A = ?. = Direction.
February 20, 2017

physics
Vo = 17m/s[39o]. Xo = 17*Cos39 = 13.2 m/s. Yo = 17*sin39 = 10.70 m/s. A. d = Xo*t. 3.8 = 13.2*t, t = 0.288 s. B. h = Yo*t +0.5g*t^2. h = 10.7*0.288 - 4.9*0.288^2 = 2.67 m.
February 20, 2017

Science
A. Work = F * d. They did the same amount of work. B. Power is the rate of doing work: P = F * d/t. The one that took the least time used the most power.
February 20, 2017

Vectors
50o W. of N. = 140o CCW. Vr = Vb + Vc. 20[140] = Vb + (-8i), Vb = 20[140] + 8i, Vb = 20*Cos140+20*sin140 + 8i. Vb = -15.3 + 12.9i + 8i = -15.3 + 20.9i Tan A = Y/X = 20.9/(-15.3) = -1.36601. A = -53.8o = 53.8o N. of W. = 126.2o CCW = 36.2O W of N.
February 20, 2017

Vectors
B. sin50 = 1.7/d. d = 2.22 km.
February 20, 2017

Vectors
Your last question doesn't make sense.
February 20, 2017

Vectors
A. Vr = Vb + Vc. 20[50o] = Vb - 8i, Vb = 20[50]+8i, Vb = 20*Cos50+20*sin50 + 8i, Vb = 12.9 + 15.3i + 8i = 12.9 + 23.3i. Tan A = Y/X =23.3/12.9 = 1.80620, A = 61o.
February 20, 2017

Math
3n = 5n-14. n = ?.
February 20, 2017

math
The opposite angles of a parallelogram are equal: A = C = 35 + 25 = 60o. 360-120 = 240o. B = D = 240/2 = 120o.
February 20, 2017

Maths
$5400 * 1m/$13.50 = 400 m. Cost = 400m * 28.50/m =
February 20, 2017

Algebra
Po1*r1*t + Po2*r2*t = 2730. Po1*0.06*1 + Po2*0.09*1 = 2730, 0.06Po1 + 0.09Po2 = 2730. Eq1: 6Po1 + 9Po2 = 273,000, Eq2: Po1 + Po2 = 39000. Multiply Eq2 by -6 and Add: +6Po1 + 9Po2 = 273000. -6Po1 - 6Po2 = -234,000. Sum: 3Po2 = 39,000, Po2 = $13,000 Invested in acc. #2. Po1 = 39...
February 19, 2017

Physics
post it.
February 19, 2017

Physics
V = 80m/s[-20O]. Vx = 80*Cos(-20) = 75.2 m/s. Vy = 80*sin(-20) = -27.4 m/s. A. Range = V^2*sin(2A)/g. Range = 80^2*sin(2*20)/9.8 = 420 m. B. Tan20 = h/420, h = 153 m. h = Vy*t + 0.5g*t^2. 153 = -27.4*t + 4.9t^2, 4.9t^2 - 27.4t - 153 = 0, Using the Quadratic Formula: t = 9.04 s...
February 18, 2017

Math
L = 23.5 ft. W = 11 ft. h = 2/3 ft. 1 yd^3. = 27 ft^3. V = L*W*h. Yards = V/27.
February 18, 2017

physics
Incomplete.
February 18, 2017

electronic
Incomplete.
February 18, 2017

physical science
R = pL/A. p = 110*10^-8 Ohm.m = 110*10^-6 ohm.cm. L = 220 cm. r = 0.056 cm. A = pi*r^2 = 3.14*0.056^2 = 9.85*10^-3 cm^2. R = (110*10^-6*220)/(9.85*10^-3) = 2.46 Ohms.
February 17, 2017

pyhsical science
R = pL/A A = pi*r^2 = pi*(2r)^2 = pi*4r^2. R2 = 2pL/(pi*4r^2) = pL/Pi*2r^2.
February 17, 2017

Maths
Wt. of box = 20 N. Fp1 = 4*Cos20 = 3.76 N. = Force acting Parallel to ramp(upward). Fp2 = 20*sin A = Force acting parallel to ramp(downward). Fp2-Fs-Fp1 = 0. 20*sin A-5-3.76 = 0. Equilibrium. A = ?. 9 20*sin A-5-3.76 = 0. 20*sin A = 8.76, A = 10.8o. = Angle of elevation.
February 17, 2017

algebra
1. a^2 + b^2 = c^2. 15^2 + b^2 = 20^2, 225 + b^2 = 400. b^2 = 400-225 = 175, b = sqrt(25*7) = 5*sqrt7. 2. 9^2 + 12^2 = c^2. c^2 = 81 + 144 = 225, c = sqrt(225) = 15.
February 16, 2017

Algebra
Eq1: A = x * y = 48ft^2. Eq2: P = 2x + 2y = 28 Ft.
February 16, 2017

Scienc
2. Acceleration. 3. A. 6. D. Friction opposes motion. 7. A. Velocity includes magnitude and direction. 8. A. 10. C. 11. F = M*a = 3 * 7 = 21 N.
February 16, 2017

Math
A. V(t) = Vo - 899t. Vo = Initial value. B. V(t) = Vo + 899t.
February 15, 2017

Science
M*g = 50 * 9.8 = 490 N. = Wt. of box. Fp = 490*sin30 = 245 N. = Force parallel with incline. Fn = 490*Cos30 = 424 N. = Normal force. Fs = u*Fn = = 424u. = Force of static friction. Fp-424u = M*a. 245-424u = M*0 = 0, U = ?.
February 15, 2017

Physics
1 gal. = 8 Lbs. = 3.63 kg. M = 10,000gal * 3.63kg/gal. = 36,320 kg. PE = M*g*h = 36,320*9.8*61.5 Joules.
February 14, 2017

physics
V*a*(T2-T1) = 136. 1.53*a*(15.1-92.2) = 136, a = ?.
February 14, 2017

physics
a = 13*10^-6/oC = Temp. coeff. h*a*(T2-T1) = 0.197. h*13*10^-6(40-(-9)) = 0.197, h*0.000637 = 0.197, h = 309.3 m.
February 14, 2017

physics
a = 13*10^-6/deg.C = Temp. coeff. 358*a*(T2-T1) = 358*13*10^-6*(22-1.99) = 0.093 m. = 9.3 cm.
February 14, 2017

Math 115
C = 0.79P, P>100.
February 14, 2017

physics
d = 0.5a*t^2. 8 = 0.5a*4^2, a = 1 m/s^2. V = Vo + a*t.= 0 + 1*4 = 4 m/s.
February 13, 2017

physics
(14*10^-6/19*10^-6) * 3600cm = 2653 cm.
February 13, 2017

physics
M*g = 532 * 9.6 = 5214 N. = Wt. of piano. Work = F*d = 372 * 14 = 5208 J. PE = Mg*h = 5208. 5214h = 5208, h = 1.0 m.
February 12, 2017

Physics
M = 28.44 kg. F1 = 3964N[63.74o]. F2 = 130N[180o]. Fx = 3964*Cos63.74 - 130*Cos180 = 1624 N. Fx = M*a. a = Fx/M = 1624/28.44 = 57 m/s^2.
February 12, 2017

Physics
Fr = 5.9[28o] + 5[90o]. X = 5.9*Cos28 = 5.2Units. Y = 5*sin28 + 5*sin90 = 7.35 Units. Fr = sqrt(x^2+y^2) = Tan A = Y/X = 7.35/5.2 = 1.41346, A = 54.7o = The direction.
February 12, 2017

Math
1. x + y = 9. 2xy = 40, xy = 20, X = 20/y. x + y = 9. 20/y + y = 9, Multiply by Y: 20 + y^2 = 9y, y^2 - 9y + 20 = 0, (x-4)(x-5) = 0, Y = 4, and 5. x + y = 9. Solution set: (x,y)=(4,5),(5,4). So the numbers are 4, and 5. 2. 1st number = X. 2nd number = x+4. x^2 + (x+4)^2 = 208...
February 12, 2017

Physics
Vo = 5m/s[60o]. Xo = 5*cos60 = 2.5 m/s. Yo = 5*sin60 = 4.33 m/s. 1. Y = Yo + g*t. 0 = 4.33 - 9.8t, t = ?. 2. Y^2 = Yo^2 + 2g*h. 0 = 4.33^2 - 19.6h, h = ?. 3. Range = Vo^2*sin(2A)/g. Range = 5^2*sin(120)/9.8 =
February 12, 2017

science
The Elasticity of the balloon. The balloon can be stretched beyond its' normal size and can return to normal if the elastic limit is not exceeded.
February 11, 2017

physics
a. (185+182+183+182+182+184+183)/7 =
February 11, 2017

Physics
I drew out image of the situation but still need help. Can someone help with this problem about swinging on wrecking ball when at 1st: wrecking ball is in line with birdbath when at a peak in its trajectory, and in line with front door at the lowest point in the trajectory. ...
February 11, 2017

math
M*g = 35 * 9.8 = 343 N. = wt. of carton. Fp = 343*sin40 = 220.5 N. = Force parallel to the incline. Fn = 343*cos40 = 262.8 N. = Normal force. Fp-Fs = M*a. 220.5 - Fs = 35*0, Fs = 220.5 N. = Force of static friction.
February 11, 2017

math
Correction: 326 = 0.816T2, T2 = 400 N.
February 11, 2017

math
60o W. of N. = 150o CCW from +x-axis. 45o E. of N. = 45o CCW from +x-axis. The system is in equilibrium: 326*cos150 = -T2*cos45. 326 = 0.742T2, T2 = 400 N. Fb = -(T1*sin150+T2*sin45). Fb = -(326*sin150+400*sin45) = -446 N. = 446 N. Downward. M*g = 446. M = 446/g = 446/9.8 = 46...
February 11, 2017

Physics
While swinging on the wrecking ball, a student notices that, at first, the wrecking ball is in line with her birdbath when it is at a peak in its trajectory, and in line with her front door at the lowest point in the trajectory. However, since drag is acting against the ...
February 10, 2017

Physics
I was able to figure out mass of ball = to 720kg and velocity of ball and her is 1.90m/s
February 10, 2017

Physics
While swinging on the wrecking ball, a student notices that, at first, the wrecking ball is in line with her birdbath when it is at a peak in its trajectory, and in line with her front door at the lowest point in the trajectory. However, since drag is acting against the ...
February 10, 2017

Slopes
m = (7-4)/(-5-0) = -0.6 Y = mx + b. 4 = -0.6*(6) + b, b = 7.6. Eq: Y = -0.6x + 7.6
February 9, 2017

Math
r = 226mi/2h = 113 mi/h. d = r*t =
February 9, 2017

Math
csc A = 4/3. sin A = 3/4, x^2 + 9 = 16, X = sqrt7 = 7^(1/2). Cot A = sqrt7/3. sin A + sin A * cot^2 A = 3/4 + 3/4*(7^(1/2))^2 = 3/4+3/4*7 = 24/4 = 6.
February 9, 2017

Finance
My answer is unsecured debt.
February 8, 2017

math
Income/wk. = $12/wash * XWASHES = $12X. Cost/wk. = ($12/h*40h)2 + $450/wk. = $1410. Profit/wk. = 12x - 1410 = $3.25/wash * xwashes. = $3.25x. Profit/wk. = 12x - 1410 = 3.25x, X = 161.14 or 162 Washes.
February 8, 2017

algebra
Vp*t = 1600. Vp*5 = 1600, Vp = 320 mi/h. in still air. (Vp-Vw)*5.5 = 1600. 5.5Vp - 5.5Vw = 1600. 5.5*320 - 5.5Vw = 1600, Vw = ?.
February 7, 2017

Physics
8 - 5 = 3 N. M*g = 3, M = 3/9.8 = 0.306 kg = Mass of water displaced. V*D = 306 grams. V*1 = 306, V = 306 cm^3. volume of water displaced = volume of candle holder. M*g = 8 N. M = 8/g = 8/9.8 = 0.816 kg = Mass of candle holder. D = 816g/306cm^3 = 2.67 g/cm^3.
February 7, 2017

Science
F = M*G = 500 * 10 = 5000 N. P = F*d/(t*0.4) = 5000*80/(10*0.4) = 100,000 Watts.
February 7, 2017

Science
F = M*a. a = F/M. = 15,000/500.
February 7, 2017

Physics
2. F4 =-(F1*sin90+F2*sin170+F3*sin34.8)F4 = -(70 + 8.68 + 34.2) = -113 N. = 113 N. Downward.
February 6, 2017

Physics
F1 = 70N[90o]. F2 = 50N[170o], CCW from +x-axis. F3 = 60N[Xo]. 1. The hor. component of F2 and F3 must be equal and opposite: F3*Cos X = -F2*Cos170. 60*Cos X = -50*Cos170, Cos X = 0.82067, X = 34.8o. 2.
February 6, 2017

Physics
F1 = 70N[90o]. F2 = 50N[170o], CCW from +x-axis. F3 = 60N[Xo]. F3*Cos X = -F2*Cos170. 60*Cos X = -50*Cos170, Cos X = 0.82067, X = 34.8o.
February 6, 2017

Physics
V = 1000mi/2wks * 1wk./7days * 1day/24h = 2.98 mi/h.
February 6, 2017

Physics
a. V = Vo + a*t. -45 = 36 + a*0.002, a = ? F = M*a. b. V = Vo + a*t. 45[30o] = 36 + a*0.002, 39 + 22.5i = 36 + a*0.002, 3 + 22.5i = a*0.002, a = 1500 + 11,250i = 11,350 m/s^2[82.4o]. F = M*a = 0.15 * 11,350[82.4o] = 1,702N[82.4o]. Magnitude = 1,702 N.
February 6, 2017

math
I don't see the scale.
February 6, 2017

Physics
Range = Vo^2*sin(2A)/g. Range = 65^2*sin(2*37)/9.8 = 414.4 m.
February 5, 2017

Physics
V = Vo + a*t. 55 = 70 + a*25, a = ?.
February 5, 2017

Physics
V = 68mi/72min * 60min/h =
February 5, 2017

Physics
V^2 = Vo^2 + 2g*h. 0 = 69^2 - 19.6h, h = ?. V = Vo + g*t. 0 = 69 - 9.8t, t = ?.
February 5, 2017

physics
V^2 = vo^2 + 2g*h. V^2 = 0 + 19.6*27, V = 23 m/s.
February 5, 2017

Math
(x-2)/x > 1/2. 2x-4 > x, X > 4. Let x = 5. (5-2)/5 = 3/5.
February 5, 2017

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