# Posts by henry

Total # Posts: 13,538

maths,science, physics
M1*V1 + M2*V2 = M1*V + M2*V. 4000*3.5 + M2*0 = 4000*2 + M2*2 14,000-8000 = 2M2 M2 = 3,000 kg.

Physics
V = Vo + g*Tr = 0. Tr = -Vo/g = -20/-9.8 = 2.04 s. = Rise time. h = ho + Vo*Tr + 0.5g*Tr^2. h = 29 + 20*2.04 - 4.9*2.04^2 = 49.4 m Above gnd. 0.5g*Tf^2 = 49.4, 4.9Tf^2 = 49.4, Tf^2 = 10.08, Tf = 3.18 s. = Fall time. T = Tr + Tf = 2.04 + 3.18 = 5.22 s. To strike the water.

physics
F = 8beats/8s. = 1beat/s = 1cycle/s = 1 Hz.

Physics
All angles are measured CCW from due east. D = 29km[60o] + 20km[270o] + 10km[150o] =

Physics
Correction: D = 23i + 19.9+11.5i = 19.9 + 34.5i = 39.8m[60.0o]. Direction = 60.0o N . of E.

Physics
D = 23[90o] + 23[30o]. D = 23i + 19.9+11.5i = 19.9 + 42.9i = 47.3m[65.1o]. Direction = 65.1o N. of E.

Physics
V = 36km/h = 36000m/3600s = 10 m/s. V = Vo + a*t = 10 m/s. 0 + a*10 = 10, a = 1 m/s^2. V = Vo + a*t = 0. 10 + a*20 = 0, 20a = -10, a = -0.5 m/s^2.

physics
Vb = Di/Dw * Vi = Vi/9. Di/1000 * Vi = Vi/9, Divide both sides by Vi: Di/1000 = 1/9, Di = 1000/9 = 111.11 kg/m^3 = Density of the ice cube.

Physics
k = 50N/(25-20)cm = 10N/cm. L = 20 + 100N*1cm/10N = 20 + 10 = 30 cm.

finance
a. Net Income = 591,000 - 255,000 - 0.36*591,000 = b. \$591,000. c. 0.36 * 591000 =

General Chemistry
Thank you bobpursley..how can I determine the max concentration for Fe(OH)3 that will dissolve though?

General Chemistry
Ferric Hydroxide, Fe(OH)3, is an insoluble salt with a solubility of 10^-39. 1) What is the maximum concentration of ferric hydroxide that can dissolve? 2) Using Le Chatalier's Principle, explain why iron (III) solutions are more soluble in acidic solution.

math
Smaller box = 2*2*3. Larger box = 3*4*5. 2 small boxes stacked = L*W*2h = 2*2*6. Too tall to fit in large box. 2 small boxes side-by-side = L*2W*h = 2*4*3. So 2 smaller boxes will fit in the larger box.

Physics
K = 0.5N/0.0.6cm = 0.833 N/cm. Length = 35 + 2N*1cm/0.833N = 37.40 cm. Increasing the force above 2N do not increase length further.

Science
GPS or Geographic Positioning System

math
The first and the last terms of an Arithmetic Progression are 6 and 171 in that order. If there are 14 terms, find the 16th term of the Arithmetic Progression.

Physics
See previous post.

Physics
3.10km[25o]. 3.1*sin25 = 1.31 km due north, 3.1*Cos25 = 2.81 km due east. I assumed you meant 25o N. of E, because northeast = 45o.

physics
Convert to unit Vector: (51.2,30.8). Tan A = Y/X = 30.8/51.2 = 0.60062, A = 31o. R = = X/Cos A = 51.2/Cos31 = 59.7km[31o]. (x/59.7,y/59.7) = (51.2/59.7,30.8/59.7) = (0.86,0.52).

physics
a. 30km[315o,CCW] = 21.21 - 21.21i. b. 60km[60o,CCW] = 30 + 52i. R = 21.21-21.21i + 30+52i = 51.2 + 30.8i.

physics
Vo*t + 0.5a*t^2 = 62.4 m. Vo*4.2 - 0.5*5.6*4.2^2 = 62.4, 4.2Vo - 49.39 = 62.4, 4.2Vo = 111.79, Vo = 26.6 m/s. V^2 = Vo^2 + 2a*d. Vo = 26.6 m/s, a = -5.6 m/s^2, d = 62.4 m, V = ?.

physics
V = Vo + a*t. V = 0, a = -2.5 m/s^2, t = 10 s, Vo = ?.

Math?
The Lateral area is the area of the 4 vertical sides: A = 2(5*7) + 2(16*5) = 230 m^2.

Maths
2. V = Vo(1-r)^n. a. V = 1500(1-0.21)^6 = \$364.63 b. V = 1500(1-0.21)^n = 60. 1500(0.79)^n = 60, 0.79^n = 60/1500 = 0.04, n*Log0.79 = Log0.04, n = Log0.04/Log0.79 = 13.7 Years.

math
Ar = Ab - Ad. Ar = 15000 - 15000*(0.075/360)*120 = \$14,625 = Amt. received(proceeds). Ar = Amount received. Ab = Amount borrowed. Ad = Amount discounted.

L = 5/6 yds. = 2 1/2 Ft. W = 3*2 1/2 = 15/2 = 7 1/2 Ft. Area = L*W = 2 1/2 * 7 1/2 = 5/2 * 15/2 = 75/4 = 18 3/4 square Ft. Or Area = L*W = 5/6 * 2 1/2 =[ 5/6 * 5/2 = 25/12 = 2 1/12 sq. yds. 1yd = 3ft, 1sq yd. = 3^2 = 9 sq. Ft. A = 2 1/12sq yds * 9sq ft/sq yd = 25/12 * 9 = 225/...

physics
Vo = 2 m/s[30o]. Xo = 2*Cos30 = 1.73 m/s. Yo = 2*sin30 = 1.0 m/s. Y = Yo + g*Tr. Y = 1 -9.8*Tr = 0, -9.8Tr = -1, Tr = 0.102 s. = Rise time or time to reach max ht. Tf = Tr = 0.102 s. = Fall time. Tr+Tf = 0.102 + 0.102 = 0.204 s. = Time in air. Y = 1 - 9.8*0.2 = -0.96 m/s. Y = ...

physics
Cos30 = V/10. V = ?.

physics
Correction: B. Impulse = F*t.

physics
a = (V-Vo)/t. V = 50 m/s, Vo = 0, a = ?. A. F = M*a. B. Impulse = M*t. C. Momentum ch. = M*V-M*Vo. C.

Science (PhYsics)
C = pi*2r = 3.14 * 1 = 3.14 m. Vo = 200rev/min * 3.14m/rev. * 1min/60s = 10.5 m/s. Since the velocity is constant, the acceleration is zero: a = (V-Vo)/t = (10.5-10.5)/t = 0/t = 0.

Mathematics
P1/P2 = 2/5, A1/A2 = (2/5)^2 = 4/25.

physics
b. Fk = u*Mg = 0.25 * 1.5*9.8 = 3.675 N. PE = KE - Fk*d = 19-3.675*d = 1.5*9.8*d, 19-3.675d = 14.7d, -18.375d = -19, d = 1.03 m.

physics
V = 75000m/h * 1h/3600s = 20.83 m/s. a. KE = 0.5M*V^2. b. PE = Mg*h = KE(Part "a"). g = 9.8 m/s^2, h = ?.

Physics
d = r*t =

math
Vb = 40km/2h = 20 km/h. Downstream. Vb = 40km/4h = 10 km/h. Upstream. Vb = (20+10)/2 = 15 km/h. In still water. Vs = 20 - 15 = 5 km/h. = Velocity of the stream.

physics
A. Work = F*d = 75 * 2 = 150 J. B. Work also = Change in kinetic energy = 0.5M*V^2 = 150, M = 65 kg, V = ?.

physics
A. k = 15N/0.450m = 33.3 N/m. B. F = 0.75m * 33.3N/m = 25 N.

Physics
D = 2.5 + 5i = 5.24 km[63.43o].

HELP MATH ASAP
Your problems are written in a very unconventional manner which makes them difficult to read and understand. Normal format: (x,y) = (3,4), (6,7).

phy
V = 45rev/min * 6.28rad/rev * 1min/60s = 4.71 rad/s. V = Vo + a*t = 4.71. 0 + a*4.5 = 4.71, a = 1.05 rad/s^2. D = Vo*t + 0.5a*t^2. D = 0 + 0.5*1.05*3^2 = 4.73 rad. V = Vo + a*t = 0 + 1.05*3 = 3.15 rad/s.

Science
E = 40 Volts, r = 5 Ohms, R = 15 Ohms. I = E//(r+R) = 40/20 = 2A. Vt = I*R = 2 * 15 = 30 Volts.

science
Q1. Matter. Q3. Density = 9g/45mL = 0.2 g/mL.

science

physics
Cos30 = d/1780, d = ?.

Math
8W = 3F, 1W = 3/8F, 4W = 12/8F = 3/2F, 1D = 3/2F, 8D = 12F.

Solid Mensuration
There are 6 identical circles; the radius of each circle is 2 in.

Solid Mensuration
Diameter = 2/6 = 1/3 Ft. = 4 in. Radius = 1/2 * 4 = 2 In.

Maths
2^n = 50. n*Log2 = Log50, n = Log50/Log2 = 5.64 or 6 10-day periods to reach 50 times current populat5ion.

See previous post: Thu, 4-28-16, 8:26 PM.

The number 25 should be 24. K = 27/24 = 9/8 = 1.125. Eq: Y = kx, or Y = 1.125x.

math
sin55 = Y/82, Y = 82*sin55 = 67.2 Ft., h = 67.2 + 3 = 70.2 Ft.

science
M*g = 2 * 9.8 = 19.6 N. d = 19.6N. * 1m/1500N. = 0.0130 m. = 1.30 cm.

math
a. Vb*t + Vc*t = 210. 60t + 80t = 210, t = ?. b. d = Vc*t.

math
A. V = 50mi/(45/60)h = 62.5 mph. d = V*t = 300. t = 300/62.5 = 4.8h. B. t = 4.8h - 48min. = 4.8h - 0.75h = 4.05h. d = V*t. d = 300 mi., t = 4.05h., V = ?.

physics
V^2 = Vo^2 + 2a*d. V = 45 m/s, a = -6.1 m/s^2, d = 59.7m+25m, Vo = ?. V = Vo + a*t. V = 45 m/s, Vo = previous calculation, a = -6.1 m/s^2, t = ?.

Physics
d = Vo*t, d = 18.3 m, Vo = 40 m/s, t = ?.

Science
Z = Sqrt(560^2+1200^2) = 1324.2 Ohms. I = E/Z, Vl = I*Xl. You didn't give the supply voltage, E.

Algebra
X^2 + Y^2 = 25^2, X^2 + (-7)^2 = 625, X^2 = 625-49 = 576, X = 24. Cos A = x/r = 24/25.

Physics
k = 0.8N/0.0050m = 160 N/m. L = 1.5 + 3.5N*1m/160N. = 1.5219 m.

Physics
40o E. to N. = 50o N. t0 E. D = 1000km[50o] + 500km[20o]. X = 1000*Cos50 + 500*Cos20o = Y = 100*sin50 + 500*sin20 = Tan A = Y/X, A = ? = Direction. X/Cos A = Magnitude.

pre calc
Correction: The decay rate is exponential. 50/e^x = 32, e^x = 50/32 = 1.5625, X = 0.446 = kt, K = 0.446/t = 0.446/18 = 0.0248. Mr = M/e^kt = M/e^(0.0248t) = Mass remaining.

pre calc
(50-32)grams/18yrs = 1 Gram/yr. Mr = M-1*T = M-T = 50 - 18 = 32 grams. = Mass remaining.

Geometry
x + 2x + 3x = 180, X = 30o = the Smallest.

physics
K = 2N./(2/100)m = 100 N/m. d = 4N. * 1m/100N = 0.04 m. Work = 2 * 0.04 = 0.08 J.

physics
1. KE = 0.5M*V^2 = 0.5*3*2^2 = 6 Joules. 2. PE = KE, M*g*h = 6, 3*9.8*h = 6, h = 0.204 m. sin30 = 0.204/d, d*sin30 = 0.204, d = 0.408 m. = Distance along the incline.

math
P Dollars @ 6%, 2P Dollars @ 3%, (50,000-3P) @ 5.5 0.06P + 0.03(2P) + 0.055(50,000-3P) = 2165. 0.06P + 0.06P + 2750 - 0.165P = 2165, -.045P = 2165-2750 = -585, P = \$13,000 @ 6%. 2P = \$26,000 @ 3%. (50,000-39,000) = \$11,000 @ 5.5%.

physics
V = Vo + g*t = 0 + 9.8*6 = 58.8 m/s. KE = 0.5M*V^2, M = 0.05 kg.

physics
Range = Vo^2*sin(2A)/g. Vo = 80 m/s, A = 30o, g = 9.8 m/s^2.

physics
V = Vo + a*t = 27.5, 25 + a*20 = 27.5, 20a = 2.5, a = 0.125 m/s^2. = Acceleration of car B. Vo*t + 0.5a*t^2 = Vo*t + o.5a*t^2 + 300, Vo*t-Vo*t + 0.5a*t^2 = 0.5*0.125*20^2 + 300, 0.5a*20^2 = 25 + 300 = 325, 200a = 325, a = 1.625 = Acceleration of car A. Va = Vo + a*t = 25 + 1....

math
I = Po*r*t = 100,000*0.06*30 =

geometry
or 2:48 = 1:24.

geometry
Scale Factor = 4Ft/2In = 2 Ft./In.

Pre-Calculus
A = Po(1+r)^c r = 0.03/n = 0.03/2 = 0.015 = Semi-annual % rate. c = 2Comp./yr. * 10yrs. = 20 Compounding periods(N*t). A = 1000(1+0.015)^20 = \$1346.86. Repeat for the remaining values of N.

Physics
V = a*t, V = 57 m/s, t = 3.5 s, a = ?. d = 0.5a*t^2.

science
Work = F*d = 53,000 * 20 =

Science- Density
Density = Weigh per unit volume. Unit means one. Therefore, Density = Weight of one volume of a substance. One volume can be 1m^3, 1cm^3, or 1in^3 depending on which unit you are using. Water has a density of 1 gram per cm^3(1g/cm^3) which means that 1 cm^3 of water weighs 1 ...

Physics2
a. E = 3 * 500 = 1500 Volts. b. Ceq = 120/3 = 40 pF. Q = Ceq*E = 40 * 1500 = 60,000 Pico Coulombs. c. Energy = 0.5Ceq*E^2 = 0.5*40 * 1500^2 =

math
21 Ways to score 15 points.

math
1. 5 Long shots. 2. 4 Long shots, 1 field goal, 1 free throw. 3. 4 Long shots and 3 free throw. 4. 3 Long shots, 3 field goals. 5. 3 Long shots, 2 field goals, and 2 free throws. 6. 3 Long shots, 1 field goal, 4 free throws. 7. 3 Long shots, 6 free throws. 8. 2 long shots, 4 ...

Physics
V^2 = Vo^2 + 2a*d. V = 1.4 rad/s, Vo = 4.5 rad/s, a = -0.5 rad/s^2, d = ?. Note: d is angular distance in radians.

Physics
V^2 = Vo^2 + 2a*d. V = 0, Vo = 36 m/s, d = 414 m, a = ?. a will be negative. F = M*a. W = F*d Joules.

Physics
Po = F*d/t = M*g * V = 101 W. = 101 J/s, 121*9.8 * V = 101, V = 0.085 m/s.

Physics
V^2 = Vo^2 + 2g*h. Vo = 0.8 m/s, g = 9.8 m/s^2, h = 7.8 m, V = ?.

Physics
Work = Fx*d = 2.8*Cos26.8 * 8.3 =

Physics
V^2 = Vo^2 + 2a*d. V = 0, Vo = 9.5 m/s, d = 0.24 m, a = ? F = M*a, M = F/a.

Physics
Fn = M*g + Fap*sin64. g = 9.8 m/s^2, Fap = 11 N.

Physics
M*g = (2.5+4.4)*9.8 = 67.6 N. = Total wt. Fx-Fk = M*a, 19*Cos23.5-1.5 = 6.9*a, 6.9a = 15.9, a = 2.31 m/s^2.

Physics
Fo = ((Vs-Vo)/(Vs+Ve)) * Fe = 480 Hz. (345-0)/(345+Ve) * 560 = 480, 345/(345+Ve) * 560 = 480, 193,200/(345+Ve) = 480, 165,600 + 480Ve = 193,200, 480Ve = 27600, Ve = 57.5 m/s. = Velocity of the emitter or source. v

Physics
Change = 5.22*10^-5/oC*(52-14.4)oC = 1.96*10^-3 m. = 1.96 mm.

algebra
\$X @ 9%, \$Y @ 12%. Eq1: X + Y = \$290,000. Eq2: 0.09x + 0.12y = \$31,500. Multiply both sides of Eq1 by 0.12 and subtract Eq2 from Eq1.

algebra
1,2,3,4,5,6. 1,2,3,4. 2,3,4,5. 3,4,5,6. 4,5,6,1. 5,6,1,2. 6,1,2,3. 6 Ways.

Math
20,322*12/.004 = 60,966,000 Sheets. The answer is B.

Physics

classical mechanics
A projectile is launched down ward from the top of inclined plane of angle alpha in the direction making an angle beta with the incline. assuming the projectile hits the incline, find the expression for the range and determine the maximum expression for the range down the ...

calculus.can you help me on these as well@sir collins
let sin^7x =(sin^2(x))^3sin(x) dx. sin^6x= (sin^2(x))^3 integral of(sin^2(x))^3sinx using identity sin^2x= 1-cos^2x integral of (1-cos^2x)^3sinx dx what if u=cosx du=-sinx. -integral(-u^6+3u^4-3u^2+1)du. =-(-u^7/7+3u^5/5-u^3+u)+k substituting for u give us the following -(-...

Math
Range = (1200)^2*sin(2A)/32 = 3000, 45,000*sin(2A) = 3000, sin(2A) = 0.0667, 2A = 3.82, A = 1.9 Degrees.

math
Train B travels X mi/h. Train A travels (x-6) mi/h. X*t/(x-6)t = 230/200, X/(x-6) = 230/200, 200x = 230x-1380, -30x = -1380, X = 46 mi/h, x-6 = 46-6 = 40 mi/h.

Physcis- Energy
KE = 0.5M*V^2.

Math
(4/11)/24 = (7/11)/L, (4/11)L = 24(7/11), L = 42 litres in tank.

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