Wednesday
July 30, 2014

Posts by henry


Total # Posts: 8,916

physics
Da = 69.5*T Db = 84.3*T B will have to travel 394 m(0.394km) farther than A to catch up: Db = Da + 0.394km 84.3 * T = 69.5 * T + 0.394 84.3T-69.5T = 0.394 14.8T = 0.394 T = 0.02662 h. = 1.60 Min. to catch up.

math
Slope = Tan A = Y/X = 1/6 A = 9.46o

math
Slope = Y/x = 16 Y/3 = 16 Y = 48 m.

physics
W = F*d*cos A = 457 * 6.2 * Cos 8 = 2806 J.

college physics
mgh2 - mgh1 = mg(h2-h1) = mg(3.1) = 64.7*9.8(3.1) = 1966 Joules.

college physics
a. Always negative.

Physics
The force of the golf club acts in parallel with the motion of the ball which is 28o. So my answer is 1650 N. @ 28o. Since they did not ask for the direction of the force, I did not include the angle. Your answer is not the full force acting on the ball; it is the hor. compone...

Physics
a=(V-Vo)/t a = (55-0)/1.5*10^-3=36670 m/s^2 F = m*a = 0.045 * 36,670 = 1650 N.

Business mat
7x + 3 = 7x + b b = 7x-7x+3 = 3

Math
Eq1: Y = x^2+3x-4 Eq2: Y = 2x+2 In Eq1, replace Y with 2x+2 and solve for X: 2x+2 = x^2+3x-4 x^2+3x-2x = 2+4 x^2+x = 6 x^2+x-6 = 0 C = -6 = -2*3. (x-2)(x+3) = 0 x-2 = 0, X = 2. x+3 = 0, X = -3. Solution: X = -3, and 2.

math
1. Y = 4x + 12 = $44. 4x = 44-12 = 32 X = 8 Months = Oct. of same yr. 2.C 3. 8 < x + 3 X > 8-3 X > 5. 7 > 5 Answer = b = 7.

Math
Bought X boxes. Sold (x-5) boxes. Cost = $Y per box Selling price = $(y+0.1) per box. P = $6 * 1.25 = 7.50 = Sale price. (x-5)(y+0.1) = 7.50 xy + 0.1x - 5y - 0.5 = 7.5 Eq1: xy + 0.1x - 5y = 8 Eq2: xy = $6.00 Y = 6/x In Eq1, replace Y with 6/x: 6 + 0.1x - 30/x = 8 0.1x - 30/x =...

math
Martin is X yrs. old. Joan is (x-3) yrs. old. 4x/5 = x-3 Multiply both sides by 5: 4x = 5x-15 X = 15 (4/5) * 15 = 12 yrs. = Joan's age.

math
Answer = b.

math
I = 2.42*10^-5 watts/cm^2 = Intensity. Io = 1*10^-16 watts/cm2 = Reference. db = 10*Log(I/Io) db = 10*Log(2.42*10^-5/1*10^-16) db = 10*Log(2.42*10^11) = 114.

math
Thu sales = $X Sat sales = $2X Other 4 days = $X/2 X/(x+2X+X/2) = X/(3 1/2)x = X/(7x/2) = x * 2/7x = 2/7.

physics
KE = 0.5m*V^2 = 900,000 J. 0.5*2000*V^2 = 900,000. Solve for V in m/s.

Algerbra 2
V = Vo - Vo*r*T V = 16,400 - 16,400*0.24*2 = $8528

Math
Do you mean: A(7,3.-4), B(-3,1,0). If so, X = (7+(-3))/2 = 2. Y = (3+1)/2 = 2. Z = (-4+0)/2 = -2. (x,y,z) = (2,2,-2).

Math
See previous post.

Math
C(h,k), P(x,y). x - h = x+5 x-x-h = 5 -h = 5 h = -5 y-k = y-2 y-y-k = -2 -k = -2 k = 2 C(-5,2). r = sqrt(9) = 3 Units.

math
-15-(-4) + (-12) + -8 -9 = -15 + 4 -12 -17 = -44 + 4 = -40.

Science
B. 1.

Science
1d. 2a.

Math
Incomplete.

Science
W = F*d = 200 * 45.5

physics
T^2 = 4pi^2(L/g) = (2.45)^2 39.48(1.25/g) = 6.00 6g = 49.35 g = 8.23 m/s^2

Math
csc R = 13/12 = 1/sin R 1/Sin R = 13/12 sin R = 12/13 = Y/r. X^2 + Y^2 = r^2 X^2 + 12^2 = 13^2 X^2 = 13^2 - 12^2 = 25 X = 5. Tan T = Y/X = 12/5

Algebra
Tan A = 5.67 A = 80 Degrees.

Geometry
A(0,0), B(a,0). AB is a hor. line, because Y is constant. AB = a - 0 = a. D(0,b), C(a,b). DC is a hor. line. DC = a - 0 = a. AB = DC, Because quantities that are = to the same or = quantities are = to each other. A(0,0), D(0,b). AD is a Vertical line, because X is constant. AD...

algebra
h max = ho + (V^2-Vo^2)/2g h max = 80 + (0-(64^2))/-64 = 144 Ft above gnd.

maths
Multiply numerator and denominator by 2^-(1-n): 1/2^(1-n) = 2^-(1-n)/1 = 2^(-1+n) = 2^(n-1)

maths
a. 16 = 2^4 b. 2^m/8 = 2^m/2^3 = 2^(m-3)

Algebra
P = Po(1+r)^n P = $25,000 Po = ? = Initial principal. r = (8%/2)/100% = 0.04 = Semi-annual % rate expressed as a decimal. n = 2Comp./yr. * 3.5yrs. = 7 Compounding periods. P = Po(1.04)^7 = 25,000 Po = 25,000/1.04^7 = $18,997.95 Down.

Physics
a = (V-Vo)/t = (-46-30)/5*10^-3 = -15.2*10^3 m/s^2. F = m*a = 0.15 * (-15,200) = -2280 N.

Math
a. Bal = 739.65 - 0.05*739.65 + 179.39 = $882.06 b. P min = 0.05 * 882.06

math
Ab = Ab = (W*L)/2 = (6*9)/2 = 27 in^2 = Area of the base. V = (Ab*h)/3 = (27*4)/3 = 36 in^3.

math
As = 2(L*h) + 2(W*h) + 2(L*W) As = 2(2*12) + 2(9*12) + 2(2*9) =

math
I don't know how they came up with $5100; perhaps you should double check that number. In a discounted loan, the discounted amount(Int.) is paid up-front by deducting it from the amount borrowed: Ab = $2,000 = Amount borrowed = Face value. Ar = Amount received by borrower....

physics
Vo = 12m/s[50o] Xo = 12*Cos50 = 7.71 m/s. Yo = 12*sin50 = 9.19 m/s. Tr = -Yo/g = -9.19/-9.8 = 0.938 s. Tf = Tr = 0.938 s. = Fall time. Tr+Tf = 0.938 + 0.938 = 1.876 s. = Time to return to launching height. Range=Xo * (Tr+Tf) = 7.71 * 1.876=14.46m D max = 14.46 + 8m/s * 1.876s ...

physics
Incomplete.

Physics
P = (0.45m/3.6m) * 1s. = 0.125 s. = The period of the wave. Freq. = 1/P = 1/0.125 = 8 Cycles/s = 8 Hz.

Physics
d=V*T = 3*10^8 * (1.9*10^-3/2) = 2.85*10^5 m.

Geometry
As = 2*(W*h)) + 2*(L*h) + 2(L*W) a. As = Al + 2*(L*W) = 992 Ft^2 Al + 2*(20*12) = 992 Al = 992 - 480 = 512 Ft^2.=Lateral area. b. Al = 2(W*h) + 2(L*h) = 512 Ft^2 2(12*h) + 2(20*h) = 512 Solve for h.

physics
Circumference = pi*2r = 3.14 * 80 = 251.3 cm. = 2.513 m. V=300rev/min * 2.513m/rev * 1min/60s = 12.57 m/s. = Linear speed. Va = 12.57m/s * 6.28rad/2.513m=31.4rad/s = Angular speed.

physics
X = 100N Y = 100N Tan A = Y/X = 100p/100 = 1.0 A = 45o = Direction. Fr = X/Cos A = = 100/Cos45=141.4N[45o]= Resultant force. a=Fr/m=141.4[45o]/100kg=1.414m/s^2[45o].

math
Ans: D

Pre cal
1. AB+BC = 200km[110o] + 100km[37o] X = 200*cos110 + 100*cos37 = 11.46 km. Y = 200*sin110 + 100*sin37 = 248.1 km. D^2 = X^2 + Y^2 = (11.46)^2+(248.1)^2 = 61,685 D = 248.4 km 2. V = 530mph[N25oW] = 530mph[115o] CCW.

Pre cal
1. An airplane flies 200 km on course 110 degrees from point A to point B. At point B the pilot changes course to 37 degrees. The plane then flies 100 km to point C. Find the magnitude of the net displacement from A to C. 2. A plane is flying on a bearing of 25 degrees west of...

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

algebra
Po = $32,500 @ 69%? for 3 years. P1 = Po(1+r)^n. Compounded annually. P1 = 32,500(1+0.69)^3 = $156,871.29 P2 = 32,500(1+0.69/2)^6 = 192,405.32 P3 = 32,500(1+0.69/4)^12 = 219,400.48 P4 = 32,500(1+0.69/12)^36 = 243,207.46 P5 = 32,500(1+0.69/365)^1095=257,053.95 P6 = 32,500(1+0.6...

math
Assuming simple interest: A. Po = 2055.99-400 = 1655.99 P = Po + Po*r*t P = 1655.99 + 1655.99*0.0725*2 P = 1655.99 + 240.12 = $1896.11 1896.11/24mo = $79.00/Mo. B. P = 180/mo * 12mo = $2160. r = (p-Po)/Po = (2160-2055.99)/2055.99 = 0.0506 = 5.06% Per annum C. Option 1: $1896.1...

Math
(4/3)*Log(z+2) = Log 4 Log(z+2) = Log 4/(4/3) Log(z+2) = (3/4)*Log 4 = 0.4515 10^(0.4515) = z+2 z+2 = 2.828 Z = 0.828

Math
V(1,2), W(-2,-3) X = 1 + (-2) = -1. Y = 2 + (-3) = -1. (x,y) = (-1,-1).

math
A(-2,3),--B(4,3) C(-2,-2), D(4,y) AC = -2-3 = -5 BD = AC = -5 = y-3 y-3 = -5 Y = -2.

Algebra 1
post it.

Algebra 1
See previous post: Tue,5-13-14, 1:15 PM.

Algebra 1
2x^2 + 7x + 8 = 0 B^2 = 7^2 = 49 4AC = 4*2*8 = 64. Since B^2 is less than 4AC, there are no real solution. But there are 2 imaginary solutions: X = (-B +-sqrt(B^2-4AC))/2A X =(-7 +-sqrt(49-64))/4 X = (-7+-sqrt(-15))/4 X = (-7+-sqrt(15*-1))/4 X = (-7+-(3.87i))/4 X = -1.75 + 0.9...

Algebra 1 Answer Evaluation
V = Vo + g*Tr = 0 Tr = (V-Vo)/g = (0-64)/-32 = 2 s. = Rise time. Tf = Tr = 2 s. = Fall time. Tr+Tf = 2 + 2 = 4 s. = Time it takes to return to gnd.

Math - Proportion
a. I = P^2/V b. I = (2P)^2/2V = 4P^2/2V = 2P^2/V. Therefore, I is doubled.

Algebra 1
(x+2)(x-5) = 60 x^2-5x +2x - 10 = 60 x^2 - 3x - 70 = 0 C = -70 = 7*(-10). B = 7 + (-10) = -3. (x+7)(x-10) = 0 x+7 = 0, X = -7. x-10 = 0, X = 10.

Physical World Concepts
Fn = 250 - 120 = 130 N.

math
Compounded Daily? Monthly? Annually?

Algebra
Width = W Ft. Length = (W+2) Ft. Area = (W+2)*W = 15Ft^2 W^2 + 2W - 15 = 0 C = -15 = -3*5 (W-3)(W+5) = 0 W-3 = 0 W = 3 W+5 = 0 W = -5. The width can't be negative. Therefore, W = 3 Ft. Length = W+2 = 3 + 2 = 5 Ft.

Finance
P = Po(1+r)^n P = $3,800 r = (8.9%/12)/100% = 0.00742 = Monthly % rate expressed as a decimal. n = 12comp./yr. * 5yrs.=60 Compounding periods. P = Po(1+0.00742)^60 = 3800 Po*(1.00742)^60 = 3800 Po = 3800/(1.00742)^60 = $2438.65 = Present value.

Algebra 1 (Step-by-Step)
1. -7 = X^2 x^2 + 7 = 0 X =( -B +- sqrt(B^2-4AC))/2A X = (0 +- sqrt(0-28))/2 = sqrt(28*(-1))/2 = 5.29i/2 = +-2.65i

math
10. P1 = Po(1+r)^n Po1 = $5,000 r = (6%/2)/100% = 0.03 n = 2comp/yr. * 2yrs. = 4 Compounding periods. P1 = 5000(1.03)^4 = $5627.54 in 2 yrs. P2 = P1(1+r)^n r = (8%/4)/100% = = 0.02 n = 4comp/yr. * 1.5yrs. = 6 Compounding periods. P2 = 5627.54(1.02)^=$6337.53 in 3.5 yrs.

math
a. Ar = Ab - Ab*r*t Ar = Ab - Ab*(0.055/360)*(60-15)=997.77 Ab - Ab*0.006875 = 997.77 0.993125Ab = 997.77 Ab = $1004.68 = Amt. borrowed. Ac = Ab-Ar = 1004.68 - 997.77 = $6.91 = Amt. charged. b. Face Value = Ab = $1004.68

math
5. Ar = Ab - Ab*r*t = 2,000 Ab - Ab*(0.08/360)*120 = 2,000 Ab - 0.02667Ab = 2000 0.97333Ab = 2000 Ab = $2,054.79 = Amount borrowed.

math
Correction: My calculations was based on a 4-day loan; it should be for 4 months: 2. Pr = Po - Po*r*t = 12,000 Po - Po*(0.095/12)*4 = 12,000 Po - Po*0.03167 = 12000 0.96833Po = 12,000 Po = $12,392.46

math
1. P = Po - Po*r*t P = 5000 - 5000*(0.085/360)*180 P = 5000 - 212.50 = $4787.50 = Amt. received by Joanne(Proceeds). 2. P = Po - Po*r*t = 12,000 Po - Po*(0.095/360)*4 = 12,000 Po - Po*0.00106 = 12000 0.99894Po = 12,000 Po = $12,012.68

Math
Y = -3x^2 + x. Yes.

math
Correction: Cross multiply: 3-6x = 276.71 -6x = 276.71-3 = 273.71 X = -45.62

math
Denominator = 4.13? 67 = (3-6x)/4.13 Cross multiply: 3x-6 = 276.71 3x = 276.71+6 = 282.71 X = 94.24

math
X = 686 cm Y = 438 cm D = X + Y = 686 + 438 = 1124 cm of denim

Physics
Correction: Change 127.2 J./s to 127.2 kJ/s = 127.2 KW.

Physics
V = 12.5km/h = 12500m/3600s. = 3.47 m/s. P = 55F*V = 55*mg*V = 55*68*9.8*3.47 = 127.2 Joules/s = 127.2 Watts.

Math
I1 = Po*r*t=20000*(0.025/365)*91=124.66 I2 = 20000*(0.0175/365)*80 = 76.71 I1-I2 = 124.66-76.71 = $47.95 More

Physics
1. I = V/R The voltage across each resistor is equal. Therefore, the lowest resistance (20)draws the greatest current. 2. V = I * R In a series circuit, the same current flows through each resistor. Therefore, the largest resistance(60) will have the greatest potential differe...

Physics
Y^2 = Y0^2 + 2g*h Yo^2 = Y^2-2g*h = 0 + 19.6*10 = 196 Yo = 14 m/s = Ver. component of initial velocity. Yo = Vo*sin60 = 14 m/s. Vo = 14/sin60 = 16.2m/s[60o]

Math 10
V^2 = Vo^2 + 2g*h Vo^2 = V^2-2g*h = 0 + 20*(11-6) = 100 Vo = 10 m/s. To pass over tree. a. 0.5g*t^2 = 6 b. h max = 6 m. = Ht. of balcony.

Physics
Xo = 2.4 m/s h = 0.5g*t^2 = 2.5 m. 4.9*t^2 = 2.5 t^2 = 0.510 Tf = 0.714 s. = Fall time. D1 = Xo * Tf = 2.4m/s * 0.714s = 1.71 m. 4.9*t^2 = 5 m. t^2 = 1.02 Tf = 1.01 s. D2 = 2.4m/s * 1.01s = 2.42 m. D2-D1 = 2.42 - 1.71 = 0.714 m.

Physics 270-1 Applied
a. V = Vo + g*t = 30 + 32*3.5 = 135 Ft/s b. h = Vo*t + 0.5g*t^2 h = 30*3.5 + 16*3.5^2 = 301 Ft.

Physics
Correction: a = (Fap-Fp-Fk)/m = (50.09-17.69-2.56)/3 = 9.95 m/s^2. V^2 = Vo^2 + 2a*d = 0 + 2*9.95*2 = 39.8 V = 6.30 m/s. KE = 0.5m*V^2 = 0.5*3*39.8 = 59.7 J.

Physics
Wb = m*g = 3kg * 9.8N/kg = 29.4 N. = Weight of block. Fp = 29.4*sin37 = 17.69 N. = Force parallel to the incline. Fn = 29.4*cos37 = 25.61 N. = Normal force = Force perpendicular to the incline. Fk = u*Fn = 0.1 * 25.61 = 2.56 N = Fap = 40/cos37 = 50.09 N. Parallel to incline. a...

Math
A = X Ft^2 B = (X+200) Ft^2 C = (X+200) +400 Ft^2 D = (X+200)+400 + 800 AREA = 4x + 600 + 800 + 800 = 4x + 2200 = 4A + 2200 Answer: She must measure Region A, multiply the results by 4, and add 2200 Ft^2.

physics
Mass = 150Lbs * 0.454kg/Lb = 68.1 kg. d = 75Ft * 1m/3.3Ft = 22.73 m. Work = F*d = F * 22.73 = 3813.75 Fn = 3813.75/22.73 = 167.8 N = Net force a = Fn/mass = 167.8/68.1 = 2.46 m/s^2 Vo = 1Ft/s * 1m/3.3Ft = 0.303 m/s = Initial velocity. V^2=Vo^2 + 2a*d=0.303^2 + 2*2.46*22.73 = 1...

Science
Ct = 10uF/3 = 3.33 uF. Qt = Q1 = Q2 = Q3 = Ct*V = 3.33 * 100 = 333 Micro coulombs.

science
Wt = m * g. So the wt. decreases with distance.

Physics
See 10:24 PM post.

Physics
a = F/m = 65/0.075 = 867 m/s^2. V^2 = Vo^2 + 2a*d = 0 + 2*867*.9 = 1560 V = 39.5 m/s.

Math!!
-3(-9)+(3 + (2*5^2)) = 27 + (3 + (2*25)) = 27 + (3 + 50) = 27 + 53 = 80.

algebra
Glad I could help.

algebra
25 = (1/5)^-2 25 = 1/(1/5)^2 25 = 1/(1/25) 25 = 1 * 25/1 25 = 25

math
1. V = L*W*h = 3 1/2 * 1 1/2 * 2 = 7/2 * 3/2 * 2/1 = 42/4=10.5 cubic units. 2. 8 Cubes. 4. V = 1 * 1 * 1 = 1 Gubic units. 3.

physics
Work = F * d. Therefore,increasing the force or distance increases the amount of work done.

Physics URGENT!!!!!!!!!!!!
See previous post: 5-5-14, 11:42 AM.

Physics URGENT!!!!!!!!!!!!
Fr = ((Vs-Vr)/(Vs+Vb))*Fb Fr = ((343-0)/(343+Vb))*80 = 76 kHz (343/(343+Vb))*80 = 76 27,440/(343+Vb) = 76 26,068+76Vb = 27,440 76Vb = 27440 - 26,068 = 1372 Vb = 18 m/s. = Velocity of the bat. The bat is receding, because the freq. heard is lower than the freq. emitted by the b...

physics
Vt=120000m/h = 120000m/3600s = 33.33 m/s Fp = ((Vs+Vp)/(Vs-Vt))*Ft Fp = ((343+0)/(343-33.33))*600 Hz Fp = (343/309.7)*600 = 664.6 Hz = Freq. heard by the person. L = Vs/Fp = 343/664.6 = 0.516 m. = Wave- length.

MATHS - FRACTION
To add or subtract fractions, they must have the same denominator. The fraction that is being subtracted must be smaller than the other fraction. Given: 3 1/3 - 1 3/4 Step 1. Find a common denominator: 3 4/12 - 1 9/12 Step 2. Subtract 1(1=12/12) from 3 and add it to 4/12: 2 16...

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