Tuesday
May 31, 2016

Posts by Henry

Total # Posts: 11,831

sound
B.
August 26, 2015

maths
1. Do the multiplication. 2. Combine like-terms. 4. Factor if possible.
August 26, 2015

maths
2(x+2)^2 - (2x-1)(x+2). 2(x^2+4x+4) - (2x^2+4x-x-2). 2x^2 + 8x + 8 - 2x^2 - 3x + 2. 5x + 10 = 5(x+2).
August 26, 2015

maths
2ax - 4bx - ay - 2by. 2x(a-2b) - y(a-2b). (a-2b)(2x-y).
August 26, 2015

maths
x^2 - 4x - 5. -5 = 1*(-5). -5+1 = -4 = B. x+1 = 0. X = -1. x + (-5) = 0. or x-5 = 0. X = 5. x^2 - 4x - 5 = (x+1)(x-5).
August 26, 2015

maths
Factor out (a-3).
August 26, 2015

maths
ax^2 - 2ax - apx. ax(x - 2 - p).
August 26, 2015

Math
A.
August 25, 2015

Math
See previous post: Tue, 8-25-15, 2:55 PM.
August 25, 2015

Algebra
8/(15x+24y) * (5x+8y)/10 = 8/3(5x+8y) * (5x+8y)/10 = 8/3 * 1/10 = 8/30 = 4/15.
August 25, 2015

math
My answers: 1. No 2. No 3. Yes. 2/5 * 8/9 = The amount drunk. 4. Yes. 2/5 * 8/9 = 16/45 = The amount drunk.
August 25, 2015

Math
4X^0.5/(6-X^0.5) = 4X^0.5(6+X^0.5)/(6-X^0.5)(6+X^0.5) = (24x^0.5 + 4x)/(36-X) = (24sqrt(X)+4x)/(36-X). Recall: (a+b)(a-b) = a^2-b^2. sqrt X = X^0.5.
August 25, 2015

Physics
V1 = a*t = 1.5 * 5 = 7.5 m/s. V2 = V1 + a*t = 7.5 - 2*3 = 1.5 m/s.
August 25, 2015

Science
B.
August 25, 2015

Physics
V1 = 15mi/h * 5280Ft/mi * 1h/3600s = 22Ft/s. V2 = 50/15 * 22 = 73.3 Ft/s. a. a = (V2-V1)/t=(73.3-22)/13 = 3.95 Ft/s. b. d = V1*t + 0.5*a*t^2. t = 13 s. Solve for d.
August 25, 2015

Physics
Vo = 200 cm/s = 2 m/s. V = 10,000 cm/s = 100 m/s. V^2 = Vo^2 + 2g*d = !00^2. 2^2 + 19.6*d = 100^2. Solve for d.
August 25, 2015

physics
The initial velocity is negative,because the stone was moving upward before it began to free fall. In other words, the balloon containing the stone was moving upward as the stone began to move downward. If the stone had been THROWN downward from a stationary object, the ...
August 25, 2015

physics
See previous post: Sat, 8-22-15, 11:06 AM
August 25, 2015

Physics
A. V^2 = Vo^2 + 2g*h = 9.5^2 - 19.6*3.6 = 19.69. V = 4.44 m/s. B. V = Vo + g*t = 4.44. 9.5 - 9.8t = 4.44. -9.8t = -5.06. t = 0.533 s.
August 24, 2015

Physics
M*g = 1.5 * 9.8 = 14.7 N.=Wt. of blk A. a. PE = M*g*h = 14.7*0.5 = 7.35 J. b. V^2 = Vo^2 + 2g*h = 0 + 19.6*0.5 = 9.8. 3.13 m/s. KE = 0.5M*V^2 = 0.5*1.5*3.13^2 = 7.35 J. c. M1*V1 + M2*V2 = M1*V + M2*V. 1.5*3.13 + 1.5*0 = 1.5V + 1.5V. 4.7 + 0 = 3V. V = 1.57 m/s. d. KEa = KEb = ...
August 24, 2015

Physics
Vo = 20mi/h * 5280Ft/mi * 1h/3600s. = 29.3 m/s. V = 30/20 * 29.3 = 44 m/s. a = (V-Vo)/t = (30-20)/t = 10/t. d = 0.5*a*t^2 = 500 Ft. 0.5*(10/t)*t^2 = 500. 5t = 500. t = 100 s. a = 10/t = 10/100 = 0.10 Ft/s^2
August 24, 2015

Physics
d1 = d2. V1*t1 = 0.5a*t^2. V1*12 = 0.5*4.4*12^2. Solve for V1(m/s).
August 23, 2015

physics
See Related Questions: Thu, 9-15-11, 4:06 PM.
August 23, 2015

physics
d1 = V1*t1 t1 = d1/V1 = 20/30 = 0.667 h. V2=40Ft/s * 1m1/5280Ft * 3600s/h = 27.3 mi/h. t2 = d2/V2 = 20/27.3 = 0.733 h. V3 = 90km/h * 1m1/1.6km = 56.3 mi/h. t3 = d3/V3 = 20/56.3 = 0.355 h. d = d1+d2+d3 = 20 + 20 + 20 = 60 mi. T = t1+t2+t3 = 0.667 + 0.733 + 0.355 = 1.76 h. V = d...
August 23, 2015

Physics
See previous post: Sat, 8-22-15, 10:49 AM
August 23, 2015

calc
V = t^2 - 2t = 3^2 - 2*3 = 3 Ft/min. d = V*t = 3Ft./min. * 3min. = 9 Ft.
August 22, 2015

Physics
h = Vo*t + 0.5g*t^2 = -8*6 + 4.9*6^2 = 128.4 m.
August 22, 2015

Physics
M*g = 1500 * 9.8 = 14,700 N. = Wt. of block. = Normal(Fn). Fap-Fs = M*a. 200-Fs = M*0 = 0. Fs = 200 N. Fs = u*Fn. u = Fs/Fn = 200/14,700 = 0.0136.
August 22, 2015

physics
W1*d1 = W2*d2. 10 * 2.5 = 15*d2. d2 = 25/15 = 1.67 m. from the center. d2 = 2.5-1.67 = 0.83 m. from the end.
August 22, 2015

Maths proportions
1. 9/4.5 = 5/L. Solve for L. 2. 36/20.52 = 120/C. 3. Same procedure as #1and #2. 4. 20 Grams = 0.02 kg. C = 0.020kg * 60/kg = 5. ht. = 623Ft. * 1m/3.281Ft
August 22, 2015

Physics.
d = V*t.
August 21, 2015

math
B is my answer also.
August 21, 2015

Algebra
2x(x-5)^-3(1-2x(x-5)^-1) = 2x/(x-5)^3 * (1-2x/(x-5)) = 2x/(x-5)^3 * ((x-5)/(x-5)-2x/(x-5) = 2x/(x-5)^3 * (-x-5)/(x-5) = 2x(-x-5))/(x-5)^4).
August 21, 2015

Trigonometry and Analysis
To avoid the decimals: $1.00 = 100 Cents. $0.84 = 84 Cents. 0.01 = 1 Cent.
August 21, 2015

Trigonometry and Analysis
X Dimes. 2x Pennies. 10*x + 1*2x = 84 Cents. 12x = 84. X = 7 Dimes. 2x = 2*7 = 14 Pennies.
August 21, 2015

Physics
Vsw = Vs + Vw = 3 + 2i, Q1. Tan A = 2/3 = 0.66667. A = 33.7o E. of N. Body angle = 33.7o W. of N.
August 21, 2015

ALGEBRA
1b. 3. Divide each price by the wt of the cereal and choose the lowest price: 4.29/28oz = $0.15/oz.
August 21, 2015

Physics
Range = Vo^2*sin(2A)/g=200^2*sin(60)/9.8 = 3535 m.
August 21, 2015

physics
V = Vo + a*t = 6 + 1.5*4 = 12 m/s. d1 = Vo*t + 0.5*a*t^2=6*4 + 0.5*1.5*4^2 = 24 + 12 = 36 m. d2 = (V^2-Vo^2)/2a = (0-144)/-2.4=60 m. d = d1+d2 = 36 + 60 96 m.
August 21, 2015

Physics
See previous post: Thu, 8-20-15, 4:47 PM.
August 20, 2015

Physics
V=34mi/h * 1609m/mi * 1h/3600s.=15.2 m/s. d = V*t = 80 m. 15.2t = 80. t = 5.3 s.
August 20, 2015

Physics-PLEASE HELP
d1 = V1*t1 = 1 km. t1 = 1/V1 = 1/5 = 0.20 h. t2 = 1/V2 = 1/7 = 0.143 s. V=d/(t1+t2)=2km/(0.20+0.143)h=5.8 km/h.
August 20, 2015

Pre-Calculus
1. D(0.5,1), V(h,1), F(1.5,1). F - D = 1/2a. 1.5-0.5 = 1/2a. 1/2a = 1. 2a = 1. a = 0.5. h-0.5 = 1/4a = 1/2 = 0.5. h = 1.0. X = a(y-k)^2 + h. X = 0.5(y-1)^2 + 1. Vertex form. X = 0.5(y^2-2y+1). X = 0.5y^2 -y + 1.5. Standard form.
August 19, 2015

math
Y = x^4 - x^3 - 12x^2 = 0. Roots are: -3, 0, and 4.
August 19, 2015

math
Y = x^3 - 13x - 12 = 0. X = -1, x+1 = 0. (x^3 - 13x - 12)/(x+1) = x*2 - x - 12. x^3-13x-12 = (x+1)(x^2-x-12). Factor the Quadratic: (x+1)(x+3)(x-4) = 0. x+3 = 0, X = -3. x-4 = 0, X = 4. The roots are: X = -1, -3, and 4.
August 19, 2015

math
Y = x^3 -2x^2 - 7x - 4 = 0. By trial and error, I found that (-1) satisfies the Eq, and it is our 1st root. x = -1, x + 1 = 0. Using synthetic(Long-hand) division, divide the cubic Eq by x+1: (X^3 - 2x^2 - 7x - 4)/(x+1)=x^2 - 3x - 4 x^3 - 2x^2 -7x - 4 = (x+1)(x^2-3x-4). Factor...
August 19, 2015

physics
post it.
August 19, 2015

physics
D = 10.3[90o] + 6.1[45] + 5[180]. X = 10.3*Cos90 + 6.1*Cos45 + 5*Cos180 = 0 + 4.31 - 5 = -0.69 Blocks. Y = 10.3*sin90 + 6.1*sin45 + 5*sin180 = 10.3 + 4.31 + 0 = 14.61 Blocks. D = sqrt(X^2+Y^2) = sqrt((-0.69)^2 + 14.61^2) = 14.6 Blocks. Tan A = Y/X = 14.61/-0.69 = -87.3o = 87....
August 18, 2015

usiness math
P = Po + Po*r*t = 30,000 + 30,000*(0.04/360)*45 - 10,000 = 30,000 + 150 -10,000 = $20,150.
August 18, 2015

physics
Xo = 15 m/s = Hor. component of initial velocity. Tr = 1.2 + 1.2 = 2.4 s. = Rise time. Y = Yo + g*Tr = 0. Yo = -g*Tr = -(-9.8)*2.4 = 23.5 m/s. = Ver. component 0f initial velocity. Y = Yo + g*t = 23.5-9.8*1.2 = 11.74 m/s. a. V = sqrt(Xo^2+Y^2)=sqrt(15^2+11.74^2) = 19 m/s. b. Y...
August 18, 2015

Physics PLEASE HELP!
KE = 0.5M*V^2. M = 1.*10^-3 kg. V = 1.*10^3 m/s. Solve for KE.
August 17, 2015

physics
d = V*t = 8.69*10^-2. 4.61*10^-6m/s * t = 8.69*10^-2. t = 8.69*10^-2/4.61*10^-6 = 1.89*10^4 = 18900 s. = 5.25 h.
August 17, 2015

physics
Xo = 25 m/s. Remains constant. Yo = 45 m/s. Decreases to zero at max ht. Therefore, V = 25 m/s at max ht.
August 17, 2015

physical science
V = a*t = 3.125 * 4 = 12.5 m/s.
August 17, 2015

physics
Vo = 20m/s.[50o]. Xo = 20*Cos50 = 12.9 m/s. Yo = 20*sin50 = 15.3 m/s. Y = 0 m/s at max ht. KE = 0.5M*Xo^2 = 0.5*0.8*12.9^2 = 66.6 J.
August 17, 2015

Physics
Impulse = F*t.
August 16, 2015

Physics
D = 1200m[90o] + 2000[0] + 500[225]. X = 1200*Cos90 + 2000*Cos0 + 500*Cos225 = 0 + 2000 - 354 = 1646 m. Y = 1200*sin90 + 2000*sin0 + 500*sin225 = 1200 + 0 - 354 = 846 m. Tan A = Y/X = 846/1646 = 0.51397. A = D = X/Cos A.
August 16, 2015

physics
a. F = 160N/m * 0.15m = 22.5 N. b. a = F/m = 22.5/0.40 = 56.25 m/s^2.
August 16, 2015

physics
Vo = 180000,/3600s. = 50 m/s. a. V = Vo + a*t = 0. t =-Vo/a = -50/-0.4 = 125 s. b. D = Vo*t + 0.5a*t^2. D = 50*125 - 0.2*2500 = 3125 m.
August 16, 2015

science
M1*V1 + M2*V2 = M1*V + M2*V. 6.4*9.9 + 2.1*0 = 6.4V + 2.1V. Solve for V.
August 16, 2015

science
p1 = M*V = 3.4 * 9.9 = 33.7. = Momentum. p2 = 3.4 * (-4.5) = -15.3. p2-p1 = -15.3 - 33.7 = -49. Magnitude = 49. The negative sign means the momentum decreased.
August 16, 2015

math
A. d = 6t + 5t = 11 km. 11t = 11. t = 1 hr. = Time they meet. d1 = 6km/h * 1h = 6km. = Distance Rodney traveled when they met. d2 = 5km/h * 1h = 5km = Distance Ca0uls traveled. B. 6(t-1/12) + 5t = 11 km. 6t-0.5 + 5t = 11. 11t = 11.5. t = 1.045 h.
August 15, 2015

AP Physics
a. Dp + Df = 345 m. 27*(T-0.36) + 5.9T = 345. 27T-9.72 + 5.9T = 345. 32.9T = 354.72. T = 10.78 s. = Time they meet. V = Vo + a*T = 0. a = -Vo/T = -27/10.78 = -2.50 m/s^2. = Min. rate.
August 15, 2015

physics
a. V1 = Vo + a*t=12.5 + 0.450*7=15.7m/s. d1 = 12.5*7 + 0.225*7^2 = 98.5 m. b. d2 = V1*T2 = 300-98.5 = 201.5 15.7*T2 = 201.5 T2 = 12.8 s. T1+T2 = 7 + 12.8 = 19.8 s. To travel 300 m with acceleration. d = Vo*T3 = 300 m. 12.5*T3 = 300. T3 = 24 s. To travel 300 m without ...
August 15, 2015

Physics
M*g = 96.3 * 9.8=943.7 N.=Wt. of player. = Normal force(Fn). a. Fk = u*Fn = 0.619 * 943.7 = 584.2 N. b. a = u*g = 0.619 * (-9.8)=-6.07 m/s^2. V = Vo + a*t = 0. Vo = -a*t = -(-6.07)*1.0 = 6.07 m/s.
August 15, 2015

Algebra 1
The ans. is B.
August 14, 2015

Algebra 1
Y = (x+3)(x-2) = 0. x+3 = 0. x = -3. x-2 = 0. x = 2. So the ans. is a.
August 14, 2015

Algebra 1
Y = a(x-h)^2 + k = -1. a(0-4)^2 - 5 = -1 16a - 5 = -1. 16a = 4. a = 0.25. Y = 0.25(x-4)^2 - 5.
August 14, 2015

physics
R = 4m[90o] + 15m[0o] + 18m[-37o]. X = 4*Cos90 + 15*Cos0 + 18*Cos(-37o) = 0 + 15 + 14.4 = 29.4 m. Y = 4*sin90 + 15*sin0 + 18*sin(-37) = 4 + 0 -10.8 = -6.8 m. a. sqrt(X^2+Y^2)=sqrt(29.4^2+(-6.8)^2) = 30.2 m. = Magnitude. b. Tan A = Y/X = -6.8/29.4 = -0.23129. A = -13.3o = 13.3o...
August 14, 2015

physics
M*g = 14.4 * 9.8 = 141.1 N.=Wt. of sled. Fn = 141.1 - 66.9*sin32 = 105.7 N. = Normal force. Fap*Cos A-Fk = M*a. 66.9*Cos32-Fk = M*0 = 0. Fk = 56.7 N. = Force of kinetic friction. u = Fk/Fn.
August 14, 2015

physics
a. D=0.744[0o] + 0.925[270o] + 3.97[161.7o] CCW. X = 0.744+0.925*Cos270+3.97*Cos161.7 = 0.744 + 0 - 0.949 = - 0.205 km. Y = 0 + 0.925*sin270 + 3.97*sin161.7 = 0 - 0.925 + 1.25 = 0.325 km. Tan A = Y/X = 0.325/-0.205 = -1.58537. A = -57.8o = 57.8o N. of W. = 122.2o CCW D=Y/sinA=...
August 14, 2015

physics
V1 = 36,000m/3600s. = 10 m/s. V1 = a*T1 = 10 m/s. 0.5*T1 = 10. T1 = 20 s. d1 = 0.5a*T1^2 = 0.5*0.5*20^2 = 100 m. d2 = V1*T2 = 1000 m. 10 * T2 = 1000. T2 = 100 s. V = V1 + a*T3 = 0. a = -V1/T3 = -10/20 = -0.5 m/s^2. V^2 = V1^2 + 2a*d3 = 0 d3 = -V1^2/2a = -(10^2)/-1 = 100 m. d...
August 14, 2015

Math
Glad I could help.
August 13, 2015

Math
Width = W. L = 2W - 5. 2W + 2L = 62 cm. 2W + 2(2W-5) = 62. 2W + 4W - 10 = 62. 6W = 72. W = 12 cm.
August 13, 2015

Physics
See previous post: Wed, 8-12-15, 9:20 PM.
August 12, 2015

Physics
d = Vo*t + 0.5*a*t^2 = 245 m. V = a*t = 34 m/s. a = 34/t. d = Vo*t + 0.5(34/t)t^2 = 245. 0 + 17t = 245. t = 14.4 s. a = 34/t = 34/14.4 = 2.36 m/s^2.
August 12, 2015

physics
V1 = a*T1 = 2.4 * 10 = 24 m/s. d1 = 0.5a*T1^2 = 1.2*10^2 = 120 m. a. d2 = V1*T2 = 24 * 25 = 600 m. V^2 = V1^2 + 2a*d3 = 0 d3 = -V1^2/2a = -(24^2)/-3 = 192 m. d = d1+d2+d3 = 120 + 600 + 192 = 912 m. = Total distance traveled. b. V = V1 + a*T3 = 0. T3 = -V1/a = -24/-1.5 = 16 s. ...
August 12, 2015

Finance
Account A: P = Po + Po*r*t = $6500. Po + Po*0.06*1 = 6500. Po + 0.06Po = 6500. 1.06Po = 6500. Po = $6,132.08 = Present value. Account B: Same procedure as A.
August 12, 2015

Finance
P = Po + Po*r*t = $15,000. Po + Po*0.07*1 = 15,000. 1.07Po = 15,000. Po = 14,018.69 = Present value.
August 12, 2015

physics
M*g = 1870 * 9.8 = 18,326 N.=Wt. of car. Fp = 18,326*sin12.1 = 3841 N. a. Fn = 18,326*Cos12.1=17,919 N.= Normal. b. Fp-Fs = M*a. 3841-Fs = 1870*0 = 0. Fs = 3841 N. = Force of static friction.
August 12, 2015

physics
M*g = 15.5 * 9.8 = 151.9 N.=Wt. 0f sled. Fn = 151.9 - 76.7*sin27 = 117 N. Fap-Fk = M*a. 76.7*Cos27-Fk = M*0 = 0. Fk = 68.3 N.=Force of kinetic friction. u = Fk/Fn 68.3/117 = 0.584.
August 12, 2015

physics
See previous post: Wed, 8-12-15, 12:14 AM.
August 12, 2015

Physics
V1 = a*t = = 76.7 * 1.89 = 145 m/s. h1 = 0.5a*t^2 = 0.5*76.7*1.89^2 = 137 m. h2 = h1 + -V1^2/2g=137 + (-145)^2/-19.6 = 1210 m. Above gnd.
August 12, 2015

Urgent math
a. Let n = 3. 2*3^2 > (3+1)^2. 18 > 16. True. Let n = 4. 2*4^2 > (4+1)^2. 32 > 25. True. Check b, and c.
August 11, 2015

physics
Vo = 6.87m/s.[51.9o]. Yo = 6.87*sin51.9 = 5.41 m/s. = Vertical component of initial velocity. Y^2 = Yo^2 + 2g*h = 0. h = -Yo^2/2g = -6.87^2/-19.6 = 2.41 m.
August 11, 2015

Math
119-108 = 11db. db = 10*Log I2/I1 = 11. Log I2/I1 = 1.1. I2/I1 = 10^1.1 = 12.59 or 13.
August 10, 2015

Algebra 2
The answer is 1.
August 10, 2015

engineering physics 1-science
a = F/M = 68/32 = 2.125 m/s^2.
August 9, 2015

physics
See previous post: Sat, 8-8-15, 7:02 PM.
August 8, 2015

physics
M*g = 50.9 * 9.8 = 499 N. = Wt. of crate. = Normal(Fn). Fs = u*Fn = 0.526 * 499 = 264 N. = Force of static friction. Fk = 0.311 * 499 = 155.2 N. = Force of kinetic friction. a. (Fap-Fs) = M*a. Fap-264 = M*0 = 0. Fap = 264 N. = Fore applied. b. (Fap-Fk) = M*a. Fap-155.2 = M*0...
August 8, 2015

physics
Tan A = 1.31/1.81 = 0.72376. A = 35.9o Tan 35.9 = d/2.290. d1 = 2.290*Tan35.9 = 1.658 km downstream. sin35.9 = 1.31/V2. V2 = 1.31/sin35.9 = 2.23 m/s d2 = sqrt(2.29^2+1.66^2) = 2.83 km = Distance across with wind. d2 = V2*t = 2830 m. 2.23*t = 2830. t = 1269 s. = 21 Min. to cross.
August 8, 2015

physics
Vo = 19m/s[36o]. Xo = 19*Cos36 = 15.4 m/s. Yo = 19*sin36 = 11.2 m/s. Y^2 = Yo^2 + 2g*h = 0. h = -Yo^2/2g = -(11.2^2)/-19.6 = 6.4 m. Y^2 = Yo^2 + 2g*h = 0 + 19.6(6.4-2.7) = 72.52. Y = 8.5 m/s = Ver. component of final velocity. V = sqrt(Xo^2+Y^2) = sqrt(15.4^2+8.5^2)= 17.6 m/s.
August 8, 2015

Physics
D = sqrt(20^2+20^2) = 28.3 m. Tan Ar = 20/20 = 1. Ar = 45o A = 45 + 180 = 225o. CCW from +x-axis.
August 8, 2015

Physics
See previous post: Fri, 8-7-15, 10:42 AM.
August 8, 2015

Physics
Glad I could help.
August 7, 2015

Physics
d = V*t = 20 m = 0.02 km. 160 * t = 0.02. t = 1.25*10^-4 hr. = 0.45 s. To travel 20 meters. Rev = 1800rev/60s * 0.45s. = 13.5. Yes!!
August 7, 2015

physics
a. a = 10.5/3.18 = 3.3 m/s^2. b. d = 0.5a*t^2 = 0.5*3.3*3.18^2 = 16.7 m.
August 7, 2015

physics
M*g = 1000 * 9.8 = 9800 N. = Wt. of car. a = 25/10 = 2.5 m/s^2. d = 0.5a*t^2 = 1.25*10^2 = 125 m. P = F * d/t = 9800 * 125/10 = 122,500J/s = 122,500 Watts.
August 7, 2015

calculus
h = Vo*t + 0.5g*t^2 = -15*8 + 16*8^2 = -120 + 1024 = 904 Ft.
August 6, 2015

trigonometry
Tan(75/2) = &an37.5o = 0.76733.
August 6, 2015

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