Thursday
December 18, 2014

Posts by Henry


Total # Posts: 9,747

algebra
5.7*10^4.
November 11, 2013

algebra
Oops!! 10*Log(2.42*10^21) = 214 db.
November 11, 2013

algebra
Correction: db = 10*Log(2.42*10^5/10^-16) = 10*Log(2.42*10^21) = 81
November 11, 2013

algebra
db=10*Log(2.42*10^5)=10*Log(242000) = 54
November 11, 2013

physics
Fr = 283N.[41o] + 283N.[0o] X = 283*cos41 + 283 = 496.6 N. Y = 283*sin41 = 185.7 N. Fr^2 = X^2 + Y^2 Fr^2 = 496.6^2+185.7^2 = 281,096.05 Fr = 530.2 N. Ff = u*mg = 0.283 * 264.6 = 74.9 N. a = (Fr-Ff)/m=(530.2-74.9)/27=16.9 m/s^2
November 10, 2013

physics
Wb = m*g = 29kg * 9.8N/kg = 284.2 N. = Wt. of the block. 1. Fp = 284.2*sin A = Force parallel to the incline. Fn = 284.2*cos A = Normal or Force perpendicular to the incline. Fs = us*Fn = 0.7*284.2*cos A=199*cos A Fp-Fs = m*a = m*0 = 0 284.2*sinA - 199*c0sA = 0 284.2sinA = ...
November 10, 2013

Physics
h = 0.5g*t^2 = 2.4 m. 4.9t^2 = 2.4 t^2 = 0.490 Tf = 0.7 s. Dx = Xo * Tf = 4.8m/s * 0.7s = 3.36 m from the table.
November 10, 2013

Physics
d = 0.5g*t^2 = 24.6 m. 0.5g*3.4^2 = 24.6 Solve for g.
November 9, 2013

physics
Dr = 12km[30o] + 8km[90o] + 4km[165o] X = 12*cos30+8*cos90+4*cos165 = 6.53 km Y = 12*sin30+8*sin90+4*sin165 = 15.0 km tan A = Y/X = 15/6.53 = 2.29709 A = 66.5o Dr = Y/sin A = 15.0/sin66.5 = 16.4 km[66.5o].
November 9, 2013

Math
See your previous post, Tyrone.
November 9, 2013

MATH MATH MATH
See your previous post, Tyrone.
November 9, 2013

math
See your previous post.
November 9, 2013

Math
See your previous post.
November 9, 2013

MATH
See your previous post.
November 9, 2013

MATH
Correction: P = (Po*r*t)/(1-(1+r)^-t).
November 9, 2013

MATH
Loan amt. = 0.8 * 195,000 = $156,000 P = Po*r*t/(1-(1-(1+r)^-t) r = (6%/12)/100% = 0.005 = Monthly % rate expressed asva decimal. t = 30yrs * 12mo/yr = 360 Months. P1 = (156000*0.005*360)/(1-1.005^-360) = $336,707.57 I = P-Po = P2 = (195000*0.005*360)/(1-1.005^-360) = $420,884...
November 9, 2013

Physics 11
(1/6) * 9.8m/s^2
November 8, 2013

Physics
Xo = 6 m/s. Yo = 3.5 m/s. a. tanA = Yo/Xo = 3.5/6 = 0.58333 A = 30.3o Vo=Xo/cosA = 6/cos30.3 = 6.95m/s[30.3o] b. X = Xo = 6 m/s. It does not change. c. Y = Yo + g*t Y = 3.5 - 9.8*0.5 = -1.4 m/s. The negative sign means the ball is falling. d. h=(Y^2-Yo^2)/2g=(0-3.5^2)/-19.6 = ...
November 7, 2013

physics
F = 10*4^2 + 100 = 260 N. Wc = m*g = 25 * 9.8 = 245 N. = Wt. of crate. Fk = uk*mg = 0.25 * 245 = 61.25 N. = Force of kinetic friction. a = Fn/m = (F-Fk)/m = (260-61.25)/25 = 7.95 m/s^2. V = a * t = 7.95 * 4 = 31.8 m/s.
November 7, 2013

Physics
a. C = pi*2r = 3.14 * 3 = 9.42 m. V = (20/9.42) * 2pi = 4.25pi rad/s = 13.34 rad/s.
November 7, 2013

Physics
V = a*t = 1.7 * 0.7 = 1.19 m/s.
November 7, 2013

physics
Vo = 5.8m/s[17o] Xo = 5.8*cos17 = 5.55 m/s. Yo = 5.8*sin17 = 1.70 m/s. Y = Yo + g*t = 0 @ max. ht. Tr = (Y-Yo)/g = (0-1.70)/-9.8 = 0.173 s. = Rise time. h=(Y^2-Yo^2)/2g = (0-1.7^2)/-19.6=0.147 m. h = 1.4 + 0.147 = 1.55 m Above shorter bldg. h = 0.5g*t^2 = 1.55 m. 4.9*t^2 = 1....
November 7, 2013

Physics
Fap - 0.6*34 = m*a = m*0 = 0 Fap = 20.4N,mln. = Force applied. 27,2 N will move the block. m*g = 34 m*9.8 = 34 m = 3.47 kg a=Fn/m = (27.2-0.472*34)/3.47=3.21 m/s^2
November 7, 2013

science
11 - L = (150/100)*(9-L) 11-L = 13.5 - 1.5L 0.5x = 2.5 L = 5 cm
November 7, 2013

MATHS
Mass = 2*(200+(3/5)*200) = 640 Grams.
November 7, 2013

physics
d = V * t = 343m/s * 0.5s = 171.5 m.
November 6, 2013

maths
X = # short sticks. 2X = # Long sticks. x + 2x = 45 X = 15 Short sticks. 2X = 30 Long sticks. Therefore, you can make 15 triangles using 15 short sticks and 30 Long sticks. If the answer was 11 triangles: 11triangles * 3sticks/triangle = 33 sticks.
November 6, 2013

physics
Va=23rev/2.8min * 2pirad/rev * 1min/60s= 0.274 rad/s.
November 5, 2013

physics
C = pi * D = 3.14 * 100 = 314 m. = The Circumference. d = 14m/s * 240s = 3360 m Da = (3360/314) * 2pi Rad. = 21.4pi Rad.
November 5, 2013

Physics
V=60mi/h * 1600m/mi*1h/3600s.=26.67m/s d2 = d1 + 20 m Vo*t + 0.5a*t^2 = V1*t + 20 26.67*2 + 0.5a*2^2 = 26.67*2 + 20 53.33 + 2a = 73.33 2a = 20 a = 10 m/s^2.
November 5, 2013

physics
h = Vo*t + 0.5g*t^2 = 1000 m. 10t + 4.9t^2 - 1000 = 0 Use Quadratic Formula and get: t = 13.3 s.
November 5, 2013

Physics
Dx = Xo * Tf = 35 m. 22.2 * Tf = 35 Tf = 1.577 s. = Fall time. h = 0.5g*Tf^2
November 4, 2013

Math
d1 = 23.5mi/h * 2h = 47 Mi[180o-32.1o] = 47Mi[147.9o] d2 = 23.5mi/h * 1h = 23.5mi[180-53.6] = 23.5mi[126.4o] d1 + d2 = 47mi[147.9] + 23.5mi[126.4o] X = 47*cos147.9 + 23.5*cos126.4=-53.8 mi Y = 47*sin147.9 + 23.5*sin126.4=43.9 mi D^2=X^2 + Y^2=-53.8^2 + 43.9^2=4821.65 D = 69.4 ...
November 4, 2013

Math
Y = (-1/2)x + 2.
November 4, 2013

college Algebra
Ln y = -0.35 Exponential form: e^(-0.35) = Y Y = 0.7047
November 4, 2013

college Algebra
post
November 4, 2013

college Algebra
Ln y = Log 9 = 0.95424 Exponential form: e^(0.95424) = y Y = 2.5967
November 4, 2013

Math
X = # of children's tickets sold. Y = # of adult tickets sold. 30x + 40y = 930 Replace Y with 0: 30x + 40*0 = 930 X = 31 = X-Int. Replace X with 0: 30*0 + 40y = 930 Y = 23.25 = Y-Int.
November 4, 2013

physics
KE + PE = 480 Joules 220 + PE = 480 PE = PE = 260 J. mg*h = 260 34*9.8*h = 260 333.2h = 260 h = 0.780 m.
November 4, 2013

Physics
Correction: See your 10:57 PM post.
November 3, 2013

Physics
See your 11:57 PM post.
November 3, 2013

Physics
See your 11:57 PM post.
November 3, 2013

Physics
See your 10:57 PM post.
November 3, 2013

Physics
V = Vo + g*t = 0 at max. h. 4.6 - 9.8t = 0
November 3, 2013

Physics
X + Y = 365 X - Y = -123 Sum: 2x = 233 X = 116.5 N. X + Y = 365 116.5 + Y = 365 Y = 248.5 N.
November 3, 2013

5TH GRADE Math
1. 1 = 1*1. 4 = 1*2*2 8 = 1*2*2*2. 32 = 1*2*2*2*2*2. The common factor is 1. 2. 1 = 1*1 3 = 1*3. 6 = 1*2*3. 12 = 1*2*2*3 24 = 1*2*2*2*3. The common factor is 1. the commonfactors are 1,and 3.
November 3, 2013

Physics
V^2 = Vo^2 + 2g*h V^2 = 0 + 19.6*(53-14) = 764.4 V = 27.65 m/s at 14 m above gnd. h = Vo*t + 0.5g*t^2 = 14-2 = 12 27.65t + 0.5g*t^2 = 12 4.9t^2 + 27.65t - 12 = 0 Use Quadratic Formula and get: t = 0.405 s. To get out of the way.
November 3, 2013

science
V1=60mi/h * 1600m/ml * 1h/3600s=26.7m/s Vo = (50/60) * 26.7m/s = 22.22 m/s. a = (V1-0)/t = (26.7-0)/8 = 3.33 m/s^2 V = Vo + a*t = 22.22 + 3.33*5=38.87 m/s = Final speed.
November 3, 2013

Finance
B. Tuition and dorm fees.
November 3, 2013

science
Wt. = V * Dw Wt. = 450cm^3 * 1g/cm^3 = 450 g = Max. wt. without sinking. 14.5 + X = 450 Grams. X = 435.5 grams can be added. 435.5/2.5 = 174.2 or 174 Pennies.
November 3, 2013

Physics
Vr = (11m/s)/cos(90-55) = 13.4 m/s.
November 3, 2013

electronics
True.
November 3, 2013

pen state university
d = 0.5a*t^2 = 42 rad. 0.5*0.025*t^2 = 42
November 3, 2013

Physics
See previous post.
November 3, 2013

Physics
W = F * d = 9.55*10^-3 * 8.6*10^-2= 82.13*10^-5 = 8.21*10^-4 Joules.
November 3, 2013

Physics
Fg = m*g = 20kg * 9.8N/kg = 196 N. Fp = 196*sin40 = 126 N. = Force parallel to incline. Fn = 196*cos40 = 150 N. = Normal. h = L*sin40 = 6.5*sin40 = 4.18 m. Wg = Fg * h = 196 * 4.18 = 819.3 Joules. Wn = = Fn * h = 150 * 4.18 = 628 N. Fp-Ff = m*a = m*0 = 0 126-Ff = 0 Ff = 126 N...
November 2, 2013

Physics
a. Fr^2 = 119.7^2 + 49.9^2 = 16,818.1 Fr = 129.7 N. b. tanA = Y/X = 49.9/119.7 = 0.41688 A = 22.63o = Direction.
November 2, 2013

Physics
a. V = a*t = 8 m/s a*5 = 8 a = 1.6 m/s^2. b. d = 0.5a*t^2
November 2, 2013

Physics
V = a * t = 1.5[60] * 15 = 22.5m/s[60o. X = 22.5*cos60 = 11.25 m/s = Easterly component. Y = 22.5*sin60 = 19.49 m/s = Northerly component.
November 2, 2013

Physics
a. h = 0,5g*t^2 = 4.9*2.5^2 = 30.6 m. b. d = V * t = 50 m. V*2.5 = 50 V = 20 m/s.
November 2, 2013

physics
Increase in L = a*(T-To)L = 10cm = 0.1m 11.8*10^-6/oC(T-0)1000 = 0.1 0.0118T = 0.1 T = 8.47o C
November 1, 2013

Physics
See previous post.
November 1, 2013

Physics
See previous post: Fri,11-1-13,9:21 AM.
November 1, 2013

Physics
Vo = 22m/s[55o] Xo = 22*cos55 = 12.62 m/s. Yo = 22*sin55 = 18.02 m/s. h = Yo*t + 0.5g*t^2 h = 18.02*2 - 4.9*2^2 Y = = Yo + g*t 18.02 - 9.8*2 = -1.58 m/s. = Vertical component of velocity. The negative sign means the rock is falling.
November 1, 2013

Physics problem
See previous post: Fri,11-1-13,1:00 AM.
November 1, 2013

Physics problem
A.h = Vo*t + 0.5g*t^2 = 80 0 + 4.9t^2 = 80 B. V^2 = Vo^2 + 2g*h V^2 = 0 + 19.6*80 = 1568 V = 39.6 m/s. C.
November 1, 2013

science
V = Vo + a*t. a = Fn/m = 4.8*10^5/4.8 = 1*10^5 m/s^2. t=(V-Vo)/a = (3900-0)/1*10^5 = 0.039 s.
November 1, 2013

algebra solving log equations
Ln sqrt(x-8) = 5 Exponential form: e^5 = sqrt(x-8) Square both sides: e^10 = x-8 X = 8 + e^10 exponential form:
October 30, 2013

geometry
C(-3,-1), P(-3,2). r = 2 - (-1) = 3.
October 30, 2013

alGEBRA 2 help please would appreciate
CORRECTION: F(X1,0), V(0,0), D(X2,0).
October 30, 2013

alGEBRA 2 help please would appreciate
-4x-8y^2 = 0 -4x = 8y^2 X = -2y^2 This is an X-parabola; it opens to the left because "a" is negative. K = -b/2a = 0/-4 = 0 h = 0^2 = 0 V(h,K) = V(0,0). D(X1,0), V(0,0), F(X2,0). X1 = h - |1/4a| = 0 - 1/8 = -1/8. X2 = h + |1/4a| = 0 + 1/8 = 1/8. Use the following ...
October 30, 2013

Science
F = m*a
October 29, 2013

Geometry
tanA = h/X tan68o = h/50 Solve for h.
October 29, 2013

Physics
A. X = 36 m/s. Y = 21 m/s. V^2 = X^2 + Y^2 = V^2 = 36^2 + 21^2 = 1737 V = 41.7 m/s. Impulse = m*V = 0.23 * 41.7 = 9.59 B. tan A = Y/X = 21/36 = 0.58333 A = 30.3o = Direction.
October 29, 2013

physics
d2 = d1 0.5a*t^2 = V1*t 1.43*t^2 = 20.2t 1.43t^2 - 20.2t = 0 Use Quadratic formula. t = 14.1 s.
October 29, 2013

Math
1. D. 2. A. 6. A. 8. Cost = 1.06(10,150+738+50) = 9. B. 10. D. 11. Cost(8,250+324+50) = 12. Value = (1-0.48)*28,000 = 18. B. 19. Same procedure as #12. 20. B. IRA
October 29, 2013

Algebra 1---Urgent! Please, help me!
1. P =< 14-9 P =< 5. 2. (4/5)h => -2 Multiply both sides by 5/4: h = > -10/4 h => -5/2 or 2.5 3. S = 115/12 = 9 Shirts and 7 Buttons left over.
October 28, 2013

Math
a. d = (6688/1760) * 1mi = 3.8 Mi. b. 3.8mi * 5,280Ft/mi = 20,064 Ft.
October 28, 2013

Physics
tan A = Y/X = 6/16 = 0.375 A = 20.56o
October 27, 2013

finacne
c. P = Po + Po*r*t P = 75,000 + 75000*0.05*15 = $131,250.
October 27, 2013

Physics
See previous post.
October 27, 2013

Physics
Vo = a*t = 28.4*4.79 = 136 m/s. h = Vo*t + 0.5g*t^2 h = 136*4.79 - 4.9*4.79^2 = 539 m.
October 27, 2013

Physics
a. V^2 = Vo^2 + 2g*h V^2 = 0 + 20*1.6 = 32 V = 5.66 m/s. = Final velocity before striking the gnd. Vo^2 = V^2 - 2g*h Vo^2 = 0 - 20*0.9 = 18 Vo = 4.24 m/s = Velocity at which it leaves the gnd. Energy Lost=0.5m*V^2-0.5m*Vo^2 = 0.02*5.66^2 - 0.02*4.24^2=0.281 Joules b. Vo = 4.24...
October 27, 2013

physical science
d = 80m/s * 30min * 60s/min = 1440 m. W = F*d = 40 * 1440 = 57,600 Joules.
October 27, 2013

physics
d = Vo*t + 0.5g*t^2 d = 0 + 4.9*58^2 = 16,484 m.
October 27, 2013

physics mechanics
Wm = m*g = 2kg * 9.8N/kg = 19.6 N. = Wt. of the mass. Fap-Fs = m*a Fap-u*mg = m*0 Fap-0.7*19.6 = 0 Fap=13.72 N. = Force applied by spring. d = (13.72N/200N) * 1m = 0.0686 m. = distance the spring is stretched. Fn = Fap - Fk = 13.72-0.5*19.6 = 3.92 N. = Net Force. a = Fn/m = 3....
October 26, 2013

science
50 + 48 = 98 km/h.
October 26, 2013

physics
YES!
October 26, 2013

physics
Work = F * d So when an object is moved a certain distance by a force acting in the direction of the motion, work is done on the object.
October 26, 2013

physics (science)
D = 1km[90o] + 1.2km[50o] + 0.8km[25o] X=1*cos90 + 1.2cos50 + 0.8*cos25=1.50 km Y=1*sin90+1.2*sin50+0.8*sin25=2.257 km tanA = Y/X = 2.257/1.50 = 1.50892 A = 56.5o = Direction. D = Y/sinA = 2.257/sin56.5=2.71m[56.5o].
October 25, 2013

business math
P = Po(1+r)^n = $225,000 r = (8%/2)/100% = 0.04 = Semi-annual % rate expressed as a decimal. n = 2Comp./yr * 15yrs = 30 Compounding periods. Po*(1.04)^30 = 225,000 Po = 225,000/1.04^30 = $69,371.70
October 25, 2013

Physics
Vb = 0.54m/s[-45o] Vr = 0.60m/s[0o] X = 0.54*cos(-45) + 0.60 = 0.982 m/s. Y = 0.54*sin(-45) + 0 = -0.382. tan A = Y/X = -0.382/0.982 = -0.38884 A = -21.2o = Direction. Vb'=X/cosA = 0.982/cos(-21.2)= 1.053m/s[-21.2o] or 21.2o S. of E.
October 25, 2013

math
See previous post:Tue,10-22-13,1:59 PM.
October 24, 2013

math
See previous post: Tue,10-22-13,1:59 PM.
October 24, 2013

Physics
Wb = 2.6kg * 9.8N/kg = 25.48 N. 203N/1m = F/-0.115 F=-0.115*203=-23.35 N. a = F/m = -23.35/2.60 = -8.98 m/s^2.
October 24, 2013

physics
See previous post: Thu,10-24-13,3:05 PM.
October 24, 2013

Physics
1. X = 36 * 0.7 = 25.2 Volts 2. Y = 4A 3. Voc = 34 * 0.7 = 23.8 Volts.
October 24, 2013

physics
Correction: Pe=102.9 * 15/20 = 77.18 J/s=77.18 Watts = Power exerted.
October 24, 2013

physics
F = m*g = 21kg * 9.8N/kg = 205.8 N. Fk = u*mg = 0.5 * 205.8 = 102.9 N.=Force of kinetic friction. Fe-Fk = m*a Fe-102.9 = m*0 = 0 Fe = 102.9 N. = Force exerted. Pe = Fe * d/t = 102.9 * 15/20 = 77.18 N. = Power exerted.
October 24, 2013

physics
F = m*g = 200kg * 9.8N/kg = 19,600 N. P = F * h/t = 19600 * 6/3600s.=32.67 J/s = 32.67 Watts. (32.67/746) * 1hp = 0.0438 hp.
October 24, 2013

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