Friday
August 1, 2014

Posts by Henry


Total # Posts: 8,921

Physical sciences
Vd=100,000m/1h * 100000m/3600s=27.8 m/s = Velocity of driver. Fd = ((Vs-Vd)/(Vs+Ve))*Fe Fd = ((343-27.8)/(343+0))*900Hz Fd = (315.2/343) * 900 = 827 Hz = Freq. heard by driver. Vs = Velocity of sound in air. Ve = Velocity of the sound emitter (siren). Fe = Freq. emitted.

consumer math
I = Po*r*t = $60. 472.46*r*1 = 60 r = 0.127 = 12.7% = APR 0.25 * 629.95 = $157.49 = Down payment. 629.95 - 157.49 = $472.46=Amt. financed. (472.46+60)/12 = 532.46/12 = $44.37/mo. 472.46 + 60 = $532.46 = Total paid.

physics
Do/Dw = 0.84 Do/1 = 0.84 Do = 0.84 g/cm^3 = Density of the object Do/Df = 0.74 0.84/Df = 0.74 0.74Df = 0.84 Df = 1.135 g/cm^3 = Density of the fluid.

math
(680cm^3/s) / (1767cm^2/s) = 0.3848 cm = 0.003848 m.

Geometry
Divide both sides of Eq1 by (-4): Eq1: +3x + 2y = 5 Eq2: -3x + 9y = -27 Sum: 11y = -22 Y = -2 In Eq1, replace Y with (-2) and solve for X: 3x + 2*(-2) = 5 3x - 4 = 5 3x = 9 X = 3 Solution set: (x,y) = (3,-2)

physics
Circumference=pi*2r = 3.14 * 4m=12.57 m. V = 1800rev/min * 12.57m/rev * 1min/60s= 377 m/s.

math
Tan(90-31) = Y1/31 Tan(59) = Y1/31 = 1.66428 Y1=31 * 1.66428 = 51.6 = Ht. of shorter tower. Y1+Y2 = 51.6 + 31*sin25 = 64.7 m. = Ht. of taller tower.

physical science
d = V*t = 800 m. V * 5/2 = 800 V = 320 m/s.

science
Momentum = m*V = 20 * 5 = 100 kg-m/s.

Physics
C(-1.5,0.5), P(x,y) r^2 = (x+1.5)^2 + (y-0.5)^2 = 3^2 x^2+3x+2.25 + y^2-y+0.25 = 9 x^2+3x + y^2-y = 9-2.25-0.25 = 6.5 x^2+3x=(3/2)^2 + y^2-y+(-1/2)^2 = 6.5 x^2+3x+9/4 + y^2-y+1/4 = 26/4+9/4+1/4 x^2+3x+9/4 + Y^2-y+1/4 = 36/4 Multiply both sides by 4: 4x^2+12x+9 + 4y^2-4y+1 = 36...

algebra
Isn't there a sign between 30,000 and 1?

maths
KE = 0.5m*V^2 = 1000 J. 0.5*0.0081V^2 = 1000 0.00405V^2 = 1000 V^2 = 246,913 V = 497 m/s.

Physics
Vo = 210m/s[70o] Xo = 210*cos70 = 71.82 m/s. Yo = 210*sin70 = 197.3 m/s. 1. h = (Y^2-Yo^2)/2g=(0-197.3^2)/-19.6 = 1986 m.

physics
d = 0.5a*t^2 = 6 m. 0.5a*3.3^2 = 6 5.445a = 6 a = 1.102 m/s^2. V^2 = Vo^2 + 2a*d = 0 + 2.204*6 = 13.22 V = 3.64 m/s.

math
L = ? W = 8 h = 4 2W*h + 2L*h = 256 mm^2 2(8*4) + 2(L*4) = 256 64 + 8L = 256 8L = 256-64 = 192 L = 24 mm. Vol. = L*W*h = 24 * 8 * 4 = 768 mm^3

Math
P = 6 + 6*0.019*42 = 10.8 Billion.

Algebra
sqrt(-70)^2 = sqrt(70*(-1))^2 = 70*i^2 = 70 * (-1) = -70

physics
V=110km/h = 110,000m/3600s = 30.56 m/s. a=(V-Vo)/t = (30.56-0)/0.005=6111 m/s^2. F = m*a = 0.35 * 6111 = 2139 N.

physics
a = (V-Vo)/t = (30-0)/4 = 7.5 m/s^2.

physics
d = 53 + 53/5 = 63.6 m. T = d/r = 63.6/5 = 12.72 s.

physics
Fs = m*g = 127kg * 9.8N/kg = 1245 N. = Wt. of skier and toboggan. sin A = Y/r = 1.65/2.53 = 0.6522 A = 40.7o Fk = u*mg-u*T*sinA Fk = 1245u - u*148*sin40.7 Fk = 1245u - 96.5u = 1148u 148*cos40.7 - 1148u = m*a = m*0 = 0 1148u = 112.2 u = 0.098

Physical sciences
Fc = m*g = 330kg * 9.8N/kg = 3234 N. = wt. of crate. Fp = 3234*sin30 = 1617 N. = Force parallel to the incline. Fe - Fp = m*a Fe - Fp = m*0 = 0 Fe = Fp = 1617 N. = Force exerted.

physics
Circumference=pi*2r = 3.14 * 0.53=1.665 m. Va = 33.4m/s * 6.28rad/1.665m=126 rad/s a=(V-Vo)/t = (126-0)/11.6=10.87 rad/s^2.

Physics
Correction: Fk = u*Fc-u*Fap*sin27.3 Fk = 0.442*218.54 - 0.442*Fap*sin27.3 Fk = 96.6 - 0.203Fap Fap*cos27.3-(96.6-0.203Fap) = m*a 0.889Fap - 96.6 + 0.203Fap = m*0 1.092Fap = 96.6 Fap = 88.5 N. = Force applied. W = Fap*cos27.3 * d W = 88.5*cos27.3 * 9.3 = 731.3 J.

Physics
Fc = m*g = 22.3kg * 9.8N/kg = 218.54 N = Wt. of cart. Fk = u*Fc = 0.442 * 218.54 = 96.6 N. = Force of kinetic friction. Fap*cos27.3-Fk = m*a Fap*cos27.3-96.6 = m*0 = 0 Fap*cos27.3 = 96.6 N. W=Fap*cos27.3 * d = 96.6 * 9.3=898.3 J. Fap = Force applied = Tension in rope.

Math
X Tickets @ $75 each. (3500-X) Tickets @ $110 each. 75x + 110(3500-x) = 245,000+0.25*245,000 75x + 385,000-110x = 306,250 -35x = 306,250-385,000 = -78,750 X = 2250 Seats @ $75 each. 3500-x=3500-2250 = 1250 seats @ @110each

math
9x^2 * x^3 = 32 x^5 = 32 x^5 = 2^5 x = 2

Physict
d = d1(V2/V1)^2 = 15(150/50)^2 = 135 m.

math
0.05 * 173,000,000

math word problem
See previous post: Mon, 4-7-14, 3:36 PM.

math
See previous post.

geometry
2. m AB = (5-2)/(2-0) = 3/2. m BC = (0-5)/(3-2) = -5/1 = -5. 3. A'(-4,4), B'(-2,7), C'(1,2). 4. m AB' = (7-4)/(-2+4) = 3/2. m BC' = (2-7)/(1+2) = -5/3

Math word problems
L = 15x + 15y L = 15(x + y) x = 5 3/8 Yards y = 3/4 Yard L = Total length x + y = 5 3/8 + 3/4 = 43/8 + 6/8 = 49/8 = 6 1/8 Yards. L=15 * 49/8 = 91.875 Yards = 91 7/8 Yds.

physics
KE = m*V^2/2 = 4 * 4^2/2 = 32 Joules.

Math
See previous post: Sat, 4-5-14, 10:04 PM.

physics
Freq. = 5*10^6rad/s * 1rev/6.28rad = 7.958*10^5 rev/s = 7.958*10^5 Hz. Xl = WL = (6.28*7.958*10^5)*100*10^-6 = 500 Ohms. Xc=1/WC = 1/(6.28*7.958*10^5)*100*10^-12 = 2000 Ohms. Z = R + j(Xl-Xc) = 30 + j(500-2000) = 30 - j1500 = 1500.3Ohms [-88.9o] I = V/Z = 1.0[0o]/1500.3[-88.9]...

Math
P(t) = 100(1-e^-0.12*3) P(3) = 100(1-0.6977) = 30.23% Fails. 100% - 30.23% = 69.7% Usable.

Math
The largest exponent of the variable is 2. Therefore, it is a 2nd degree polynomial.

College Physics
F1 = 8.2N[125o] F2 = 6.40N[233.4o] A. Fx = 8.2*cos125 + 6.40*cos233.4 = -8.519 N. B. Fy = 8.2*sin125 + 6.40*sin233.4 = 1.579 N. C. F^2 = -8.519^2 + 1.579^2 = 75.07 F = 8.66 N. D. Tan Ar=Fy/Fx = 1.579/-8.519=-0.18535 Ar = -10.5o = Reference angle. A = -10.5 + 180 = 169.5o = 10....

Algebra
C = (B/2)^2 = (9/2)^2 = 81/4.

physical science
Yes.

Math, Geometry
See previous post: Fri,4-4-14,1:14 AM.

Algebra
Use Quadratic Formula: X = (-0.8 +- sqrt(0.64+2.96))/-0.04 = -27.43, and 67.43 X = 67.43 m.

math
P = Po(1+r)^n Po = $10,000 r = 8%/100% = 0.08 = APR expressed as a decimal. n = 1comp/yr. * 18yrs. = 18 Compounding periods. Solve for P.

Math
Correction: c. % Grade = Slope expressed as a percentage.

Math
a. Y/X = Y/2.5 = 0.06 Y/2.5 = 0.06 Y = 0.15 Miles = 792 Ft. b. Y/X = Y/90 = 0.06 Y = 90 * 0.06 = 5.4 Miles = 28,512 Ft. c. % Grade = Slope expressed as a decimal.

math
P = Po(1+r)^n Po = $8500 r = (12%/4)/100% = 0.03 = Quarterly % rate expressed as a decimal. n = 1yr * 4comp/yr. = 4 compounding periods. Plug the above values into the given Eq and sole for P.

Physics
Va=63rev/min * 6.28rad/rev * 1min/60s= 6.594 rad/s. Angle=0.57 + 6.594rad/s*9.5s=63.21 rad. or 0.4132 rad.

percentages/word problem
(3456-1600)/1600

percentages/word problem
(30.60-18)/18 = 0.70 = 70%

percentages/word problem
C + 0.45C = 79.75 1.45C = 79.75 C = $55.00

Physics
Correction: Vo = 460.6 rad/s V = 45 rad/s a = -84.3 rad/s^2

Physics
Vo=4401rev/min * 6.28rad/rev * 1min/60s= 460.6 m/s V = 430 * 6.28/60 = 45 m/s. a=(V-Vo)/t = (45-460.6)/4.93=-84.3 m/s^2

physics
Depth = V*T = 1530 * 3.65/2 = 2792 m.

PHYSICS
V = Vo + g*Tr = 0 14 - 9.8Tr = 0 9.8Tr = 14 Tr = 1.43 s. = Rise time. h = ho + Vo*Tr + 0.5g*Tr^2 hmax = 70 + (14*1.43 -4.9*1.43^2)=80 m. Above gnd. hmax = 0.5g*t^2 = 80 4.9t^2 = 80 t^2 = 16.33 Tf = 4.04 s = Fall time. Tr+Tf = 1.43 + 4.04 = 5.47 s. = Time to strike gnd. V=Vo + ...

physics
Incomplete.

physics.
The liquid with the highest density will have the largest percentage of its' volume above the water. Find the density of each liquid and compare them.

Pre Algebra
(9+3+4+16+11+5+T)/7 = 6. Solve for T.

Physics
d = V*t = 1500m/s * 1.5/2 = 1125 m.

PHYSICS!!!
T = d/V = 200/7 = 28.57 s.

physics
P = F * d/t = mg * d/t P = 66*9.8 * 14/44 Joules/s.

Physic
The voltage across a battery is equal to the e m f of the battery only when there is no load on the battery. When a resistive load is connected across the terminals, a portion of the voltage is lost across the internal resistance of the battery.

Physics Help
L = V(1/F) + 0 Slope = V. V is a constant. y-intercept = 0

physics
All of the parameters change.

physics
PE = m*V^2 = 0.164 J. .0508*V^2 = 0.164 V^2 = 3.228 V = 1.80 m/s.

Physics
Va=219rev/20s * 6.28rad/rev=68.8 rad/s a=(V-Vo)/t = (68.8-0)/20=3.44 rad/s^2. Circumference=pi*2r = 6.28 * 68=427 cm= 4.27 m. d = 219revs * 4.27m/rev = 935.2 m.

Physics -- check answers please
1. My answer is zero, because the car did not move backwards. However, you should get a 2nd opinion. 2. KE = 0.5*m*V^2 = 40 Joules KE = 0.5*5*V^2 = 40 2.5V^2 = 40 V^2 = 16 V = 4 m/s. 3c. 4a. PE + KE = Constant 5. I don't know what you mean by 4 100 J If you mean 400 J. the...

business mat
I = Po*(r/360)*t = $15 740(r/360)*59 = 15 43,660r/360 = 15 121.28r = 15 r = 0.1237 = 12.37%/yr.

business Math
(115-100)/100 = 0.15 = 15%.

Business Math
I = Po*r*t = $1.307 45,000*(0.04/365)*t = 1307 Solve for t in days. NOTE: Exact interest is based on 365 days per year instead of 360 days.

Algebra
X = 3y^2 K = Yv = -B/2A = 0/6 = 0 h = Xv = 3 * 0^2 = 0 D(X1,K), V(h,K), F(X2,K). D(X1,0), V(0,0), F(X2,0) DV = 0-X1 = 1/4a = 1/12 0-X1 = 1/12 X1 = -1/12 VF = X2-0 = 1/4a = 1/12 X2 = 1/12

physics
a = (Fap-Fk)/m = (160-24)/20 = 6.8 m/s^2

physics
V = Vo + a*t = 30 m/s 0 + a*4 = 30 a = 30/4 = 7.5 m/s^2.

Math
Can you clarify your problem?

Math
(150-73)/150 = 0.51 = 51%

science
750W * 1hp/746W = 1.0 hp.

math
post it.

phisecs
Power = 19kW = 19000W = 19,000 Joules/s. Power = F*V = F * 29 = 19,000 J./s F = 19,000/29 = 655.2 N.

phisecs
a = (V^2-V0^2)/2d a = (0-17^2)/40 = - 7.23 m/s^2.

algebra
x-1 = x+5 x-x = 5+1 0 = 6. No Solution.

Physics
What is the mass of the crate?

Physics
V=90mi/h * 1600m/mi * 1h/3600s.= 40 m/s. a = (V-Vo)/t = (40-0)/0.5 = 80 m/s^2.

Physics
Work = F*h = mg * h = 6*9.8 * 4=235.2 J. Work = F*h = 12 * 5 = 60 J. Work = 5*8 = 40 J. PE = mg*h = 5 * 8 = 40 J.

Physics
L = V/F = 199 m. F = V/199 = 300*10^6/199=1.51*10^6 cy/s= 1.51*10^6 Hz. WL = 1/WC C = 1/W^2*L C=1/(6.28*1.51*10^6)^2*785*10^-6=0.0142 nanofarads.

World History
What role did the Jacobins play in the French Revolution? The Jacobins reached an agreement with moderate French leaders to end the revolution. The Jacobins opened French gov't to full participation by women. The Jacobins returned France to a monarchy by supporting Napoleo...

History
How was James I's rule of England similar to peter the great's rule of Russia? Both reduces the size of their empire. Both increased their own power without approval by other government entitles. Both relied heavily on the opinions of their subjects when making decisio...

Electricity
Q = C*V = 10*10^-9F * 5V = 50*10^-9 Coulombs.

math
Got it! thanks

math
for the line segment whose endpoints are r(1,2) and s(6,7), find the point located 3/4 the distance from r to s.

math 2
Thank you so much reiny : )

math 2
A segment with endpoints C (3,4) and D (11,3) is divided by a point E such that CE and DE form a 3:5 ratio. Find E.

math
So I continued working where you left off and got y=0.5x+2.5 is that correct? or is it y=0.5x-2.5? I am pretty sure that it is the first one but I just wanna make sure.

math
Write an equation of a line perpendicular to line AB below in slope-intercept form that passes through the point (7, 6). A (0,1) B (-2,5)

Math
Wow thanks! It is correct! :D

Math
Write an equation of a line perpendicular to y=1/2x-5 in slope-intercept form that passes through the point (2, -7).

6th Grade Math
Blue = 3/10 Red = 4/10 = 2/5 Green = 3/10

Physics
h = Vo*t + 0.5g*t^2 = 2 m. 0 + 4.9*t^2 = 2 t^2 = 0.4082 t = 0.639 s. = Fall time. V = Vo + g*t = g*t. g = 10 m/s^2 Use the following points for graphing. (t,v) = (0,0), (0.2,2), (0.3,3),(0.5,5), (0.6,6).

math
P = (Po*r*t)/(1-(1+r)^-t) Po = Initial principal = $199,000 r = (7.01%/12)/100% = 0.00584 = Monthly % rate expressed as a decimal. t = 25yrs * 12mo/yr. = 300 Months. Plug the above values into the given Eq. and get: P = $422,328.10 Int.(Tot.) = P-Po = $223,328.10 Monthly Payme...

Physical science
See Related Questions: Wed,9-25-13,3:20 PM.

physics
Ingrid: 2h, 21min, 06s = Blake-: 2h, 06min, 50s = 2h, 20min, 66s 2h, 06min, 50s Diff. = 14min, 16s. = = 14.267min = Blake's winning margin. Tb = 120 + 6 + 50/60 = 126.833min = Blake's time. Vb = d/Tb = 42,195m/126.833min = 332.681 m/min = Blake's speed. d = 332.681...

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