Wednesday
August 20, 2014

Posts by henry


Total # Posts: 8,913

physics
X = 30m/30s = 1 m/s. Y = 1 m/s . tanA = Y/X = 1/1 = 1. A = 45o = Direction. V = 1/cos45 = 1.414 m/s[45o].
August 25, 2013

Physics
X = ? Y = -2.9 km. R = 4.25 km = Resultant. X^2 + Y^2 = R^2 X^2 + (-2.9)^2 = (4.25)^2 X^2 = (4.25)^2 - (-2.9)^2 = 9.653 X = 3.1 km tanA = -2.9/3.1 = -0.93548 A = -43.1 o A = -43.1 + 360 = 316.9o CCW. A = 316.9 - 270 = 46.9o East of South.
August 25, 2013

physics
V^2 = Vo^2 + 2a*h V^2 = 79^2 + 7.8*980 = 13,885 V = 117.83 m/s. @ 980 m a. V = Vo + a*t = 117.83 79 + 3.9t = 117.83 3.9t = 117.83-79 = 38.83 Tr1 = 9.96 s. to rise to 980 m. V = Vo + g*t 117.83 - 9.8t = 0 9.8t = 117.83 Tr2 = 12.02 s to reach max. ht. hmax = ho + (V^2-Vo^2)/2g ...
August 25, 2013

physics
V^2 = Vo + 2g*d V^2 = 0 + 19.6*(12-6) = 117.6 V = 10.84 m/s. V^2 = 0 + 19.6*12 = 235.2 V = 15.34 m/s
August 24, 2013

Math ASAP
As = 2*22 + 308 = 352 Sq. In. Same as previous results.
August 24, 2013

Math ASAP
SORRY! The calculated surface area was for a rectangular prism NOT a hexagonal prism.
August 24, 2013

Math ASAP
As=2*Ab + Al = 2*22 + 308 = 352 Sq. In.
August 24, 2013

Mathematics
A. P = Po + Po*(r/360)*t = $10,000 Po + Po*(0.043/360)*96 = 10,000 Po + 0.01146667Po = 10000 1.01146667Po = 10000 Po = $9886.63. = Amt. paid. B. %Yield=((10000-9886.63)/9886.63 *365/96 = 4.36
August 23, 2013

business math
P = Po + Po(0.04/360)*45 20000 + 20000(0.04/360)*45 = $20,100 after 45 days. Bal. = 20100-8000 = $12,100
August 23, 2013

MaTh
Ag + As = At As = At - Ag As = 3.14*6^2 - 3.14*5^2 = Area of strip. At = Total area. Ag = Area of garden.
August 22, 2013

science
h = Vo*t + 0.5g*t^2 = 160 m. 0 + 4.9t^2 = 160 t^2 = 32.65 t = 5.7 s. = Time to strike ground.
August 22, 2013

Math
3x^5 - 12x^4 + 18x^3. 1. Locate the smallest constant which is 3. If 3 will divide into the other constants with no remainder, factor out 3. 2. Factor out the variable with the smallest exponent which is x^3. We have factored out 3x^3. 3. To determine what goes inside of the ...
August 22, 2013

Physics
L=V*T = V/F=300*10^6 / 5.35*10^5=561 m.
August 22, 2013

algebra
30-13 means 30 decreased by 13 or 30 less(minus) 13.
August 22, 2013

algebra
13<30.
August 22, 2013

algebra
Where is the "question above"?
August 22, 2013

Math
A. (11-1)games/team * 11teams = 110 games played. Team 1. 10 Games 2. 10 Games 3. 10 4. 10 5. 10 6. 10 7. 10 8. 10 9. 10 10 10 11.10 Games. Total: 110 Games. B. (12-1)games/team * 12teams = 132 Games played.
August 21, 2013

MATH
a. A = -100 + 360 = 260o.
August 19, 2013

math
2(x-3/4)+3(x+2/3)+4(x-1/5) = 9x+17 2x-6/4+3x+6/3+4x-4/5 = 9x+17 9x-3/10 = 9x+17 9x-9x = 17+3/10 0 = 17 3/10 = 173/10. No Solution! Check and make sure the prob. is copied correctly.
August 19, 2013

Math (Finance)
See previous post: Mon,6:41pm.
August 19, 2013

Finance
5.17 Ci=49,000=The # of copies sold 1st year. C3 = C1*(1+r)^3) C3 = 49000(1.21)^3 = 86,806 Copies sold after 3 years. C4 = 86,806*(1.13) = 98,091 Copies sold in 4th year. 5.21a P = Po(1+r)^n r = (8.9%/12)/100% = 0.0074167 = Monthly % rate expressed as a decimal. n = 12Comp/yr...
August 19, 2013

physics
Circumference = pi*2r = 3.14*100 = 314 m V=1rev/4min*314m/1rev1*1min/60s=1.31m/s
August 19, 2013

8th grade algebra
5x = The # of bikes rented. 2x = The # of scooters renteb 15.50*1.12*5x + 160*1.12*2x = 1600. 86.8x + 358.4x = 1600 445.2x = 1600 X = 3.59 Bikes = 5 * 3.59 = 18 Scooters = 2 * 3.59 = 7.
August 18, 2013

Physics
The current entering a point is equal to the current leaving the point. Therefore, the current leaving the positive terminal of a battery is equal to the current entering the negative terminal. This is true for the light bulb or any load.
August 18, 2013

math
P = (Po*r*t)/(1-(1+r)^-t) Po = 1598 * 1.05 = $1677.90 r = (15%/12)/100% = 0.0125 = Monthly % rate expressed as a decimal. t = 3yrs * 12mo./yr = 36 Months. Plug the above values into the given Eq and get: P = 2093.94 Monthly Payment = P/t
August 18, 2013

Physics
The brightness increases.
August 18, 2013

Science
Wb = m*g = 17.25kg * 9.8N/kg = 169 N. = Wt of body. Fv = m*g = 169 N. = Force perpendicular to the table. Fs = u*Fv = 0.34*169 = 57.5 N. = Force of static friction.
August 17, 2013

physics
P = F * d/t = F * V = mg * V P=400*9.8 * 0.03m/s = 118 J/s.=118 Watts
August 17, 2013

Math
63miles/22gal. = 2.86 Miles/gal. D = 66gal * 2.86mi/gal = 189 Miles.
August 16, 2013

physics
Rmax = V/I = (500000*.97)/1000=485 Ohms=Max. conductor resistance. Dmax = 485 Ohms / 0.026Ohms/km=18,654 km.
August 15, 2013

Physic
Fp = mg*sin23 = 597.8*2in23=233.6 N.= Force parallel to the hill. Fv = mg*cos23 = 597.8*cos23=550.3 N.= Force perpendicular to the hill. Fk = 72 N. a = (Fp-Fk)/m = (233.6-72)/61=2.65 m/s^2 V^2 = Vo^2 + 2a*d V^2 = (3.5)^2 + 2*2.65*62 = 340.85 V = 18.5 m/s.
August 14, 2013

Pre- Algebra
1. Y = -2x - 4. (1,3). Parallel lines have equal slopes: m1 = m2 = -2. Y = mx + b = 3 -2*1 + b = 3 b = 3+2 = 5 Eq: Y = -2x + 5 2. Y = 3x+3. (1,1). The slope of the line is equal to the negat1ive reciprocal of the slope of the given line. m1 = 3 m2 = -1/3. Y = mx + b = 1 (-1/3...
August 14, 2013

hydromechanic
Fap-Ff = m*a 124-Ff = m*0 = 0 Ff = 124 N. = Force of friction. u = Ff/Fl = 124/1026 = 0.121 = Coefficient of friction. Fap = Force applied.
August 13, 2013

basic math
The DIGIT in the units(ones) position is 2. TENS Position: 1. HUNDREDS position: 5. THOUSANDS position: 5. TENS of THOUSANDS position: 5.
August 12, 2013

math
The hypotenuse is greater than either of the other 2 sides but less than the sum. Therefore the answer is d. c^2 = 5^2 + 12^2 = 25 + 144 = 169 c = 13.
August 12, 2013

Physics
V^2 = Vo^2 + 2g*h Vo^2 = V^2 - 2g*h. Vo^2 = 0 + 19.6*23 = 450.8 Vo = 21.2 m. h = (0.5Vo)^2-Vo^2)/2g h = ((10.62)^2-(21.2^2))/-19.6=17.2 m.
August 11, 2013

MaThS
A. Y = -2x+1, and Y = -2x+3. m1 = m2 = -2. The lines are parallel, because their slopes are equal. B. x+y/3+5 = 0, and 2y+6x = 1 x+y/3=-5, and 6x+2y = 1. 3x+y = -15, and 6x+2y = 1 m1 = -A/B = -3/1 = -3 m2 = -6/2 = -3 The slopes are equal; therefore, the lines are parallel.
August 11, 2013

algebra
10. 16-9+25 = 32 11. 32/(-7+5)^3 = 32/-8 = -4. 12. 4^3-(2-5)^3 = 64 - (-27) = 91
August 10, 2013

math
Gregg: p + q Coins. Brother: 8p + 4q Coins. Sum = 8p+p + q+4q = 9p + 5q
August 10, 2013

math
1. 0x+6y-5x = 5x+6y. 2. 9x^2+10+4x^2+7 = 13x^2+17.
August 10, 2013

algebra
P1(1,-3),P2(2,4). D^2 = (2-1)^2 + (4+3)^2 = 50 D = 7.07
August 10, 2013

Maths
tan 60o = (Y1+Y2)/X1 = 3000/X1 X1*tan 60 = 3000 X1 = 3000/tan60 = 1732 m. tan 30o = (Y1+Y2)/(X1+X2)=3000/(1732+X2) (1732+X2)*tan30 = 3000 1732+X2 = 3000/tan30 = 5196 X2 = 5196-1732 = 3464 m tan30 = Y2/X2 = Y2/3464 Y2 = 3464*tan30 = 2,000 m. Y1 = 3000-2000 = 1,000 m. = Distance...
August 9, 2013

introduction to finance-16
1. P = Po*(1+r)^n Po = $4,000. r = (4%/100%) = 0.04 n = 1Comp./yr * 5yrs = 5 Compounding periods. Plug the above values into the given Eq and get: P = $4,866.61. 2. P = Po(1+(y-1))*(1+r)^n Y = Length of loan = 5 years. P = 4000(1+4)*(1.04)^5 = $24,333.06
August 9, 2013

math
Eq1: x*y = -84 Eq2: x+y = 5 x+y = 5 y = 5-x In Eq1, replace y with 5-x: x*(5-x) = -84 5x-x^2 = -84 -x^2+5x+84 = 0 Use Quadratic Formula and get: X = -7, and 12.
August 8, 2013

Math
The angles are assumed to be complimentary(sum=90o). DCE + ECF = 90o 4x+15 + 6x-5 = 90 10x + 10 = 90 10x = 80 X = 8 DCE = 4*8 + 15 = 47o
August 8, 2013

Mechanics, Waves and Optics
Wt. of crate=m*g=18kg * 9.8N/kg=176.4 N. Fv = 176.4*cos0 = 176.4 N. = Force perpendicular to the surface. Fk = u*Fv = 0.5 * 176.4 = 88.2 N. = Force of kinetic friction. Fap*cos20-Fk = m*a Fap*0.94-88.2 = 18*0 = 0 0.94Fap = 88.2 Fap = 93.9 N. = Force applied b. Tension = Fap = ...
August 7, 2013

physical science
V = Vo + a*t = 10 m/s. 6 + a*2 = 10 2a = 4 a = 2 m/s^2.
August 7, 2013

geometry
a. RS + ST = RT 8y+4 + 4y+8 = 15y-9. Solve for y. b. Replace y with the value calculated in prob. a.
August 7, 2013

Algebra
P = Po(1+r)^n P = $5000 Po = $3500 r = (4.5%/12)/100% = 0.00375 = Monthly % rate expressed as a decimal. n = 12Comp/yr * T yrs = 12T = The # of compounding periods. P = 3500*(1.00375)^12T = 5000 (1.00375)^12T = 5000/3500 = 1.42857 Take Log of both sides: 12T*Log (1.00375) = ...
August 7, 2013

Mathematic
1. 2/(2/3) + 3/4/(4/5). 2/(2/3) + (3/4)/(4/5) = 2*(3/2) + (3/4)*(5/4) = 6/2 + 15/16 = 48/16 + 15/16 = 63/16 2. (2/5)(2/3)/(5/6)/(3/10) = (2/5)(2/3)(6/5)(10/3) = 240/225 = 48/45 = 16/15. The answer cannot be less than one.
August 7, 2013

All subjects
You are welcome! We are glad we can help.
August 6, 2013

MatHS
The angle of inclination is always between 0o and 180o and is measured CCW from the positive x-axis. A. x+y+1 = 0 x+y = -1 Tan A = m = -A/B = -1/1 = -1 Ar = -45o = Reference angle. A = -45 + 180 = 135o. B. 3-2y = 9x 9x+2y = 3 Tan A = m = -A/B = -9/2 = -4.5 Ar = -77.47o A = -77...
August 6, 2013

maths
See previous post: Tue,8-6-13,12:09 PM
August 6, 2013

maths
See previous post: 12:09 PM.
August 6, 2013

maths
Y = 2x Tan A = m1 = 2 A = 63.43o (-1,7/3),(0,2). m2 = Tan B = (2-7/3)/(0+1) = (-1/3)/1 = -1/3. B = -18.43o = -18.43o C = A-B = 63.43 - (-18.43) = 81.9o = Angle between A and B.
August 6, 2013

Math
What is the question?
August 5, 2013

maths
CORRECTION: m1 = m2 = -A/B = 6/2 = 3 Y = mx + b = -1 3*3 + b = -1 b = -10 Eq: Y = 3x - 10
August 5, 2013

maths
(3,-1). -6x + 2y = 1 Parallel lines have equal slopes: m1 = m2 = -A/B = 6/-2 = -3 Y = mx + b = -1 -3*3 + b = -1 b = 8 Eq: Y = -3x + 8
August 5, 2013

mathematics
P(-6,-2). 3x + 2y = 6 m1 = -A/B = -3/2 m2 = -(-2/3) = 2/3 = Negative reciprocal Y = mx + b = -2 2x/3 + b = -2 (2*-6)/3 + b = -2 -4 + b = -2 b = 2. Eq: Y = 2x/3 + 2
August 5, 2013

physics
See previous post.
August 5, 2013

physics
Assuming no wind: Vo*t + 0.5g*t^2 = 1.4 m. 0 + 0.5*1.63*t^2 = 1.4 0.815t^2 = 1.4 t^2 = 1.72 t = 1.31 s.
August 5, 2013

algebra
Yes, post your problem.
August 5, 2013

Physics
h1 = Vo*t + 0.5g*t^2 h1 = -9*18 + 4.9*18^2 = 1426 m Above ground when bag was released. h2 = 9*18 = 162 m.. Above point of release. h = 1426 + 162 = 1588 m. Above ground.
August 4, 2013

physics
A = 3.45 m/s[90o] B = 2.39 m/s[270o] C = V m/s 3.45[90o]+2.39[270]+V = 0 @ the peak of its' trajectory. 3.45*cos90+2.39*cos270+i3.45*sin90+i2.39*sin270 + V = 0 0+0 + 3.45i-2.39i + V = 0 0 + 1.06i + V = 0 V=-1.06i = 1.06 m/s[270o]=1.06m/s[-90o].
August 4, 2013

math
3X5Y/2Y8 = 15x/16. 15x/16 = 1 = The smallest whole number. 15x = 16 X = 16/15 = 1 1/15. According to my analysis, x cannot equal 0,2,4, nor 6.
August 3, 2013

science
The current through all elements of a circuit is the same IF there are no elements in parallel.
August 3, 2013

Physics
tan A = 50m/79m = 0.63291 A = 32.3o East of North = 57.7o CCW. b. Vs = 1.9m/sin57.7 = 2.25 m.[57.7o] = Velocity of swimmer. Vc = 2.25m/s[57.7o] - 1.9[90o] X = 2.25*cos57.7 - 1.9*cos90=1.20 m/s. Y=2.25*sin57.7 - 1.9*sin90 = 0 m/s. b. Vc = 1.20 + i0 = 1.20 m/s =Velocity of the ...
August 1, 2013

physics
See 6:26 PM post.
July 31, 2013

physics
See 5:58 PM post.
July 31, 2013

physics
20*Log(V1/Vo) = 38 db Log(V1/Vo) = 1.9 V1/Vo = 79.4
July 31, 2013

physics
130db/19 = 6.84 db.
July 31, 2013

physics
a. 10*Log(I1/Io) = 17db Log(I1/Io) = 1.7 I1/Io = 50.1 b. 10*Log(I1/Io) = -32 db Log(I1/Io) = -3.2 I1/Io = 0.00063
July 31, 2013

physics
Vs = 332 m/s @ 0oC. = Velocity of sound. Vs = 332m/s + (22-0)oC*0.6m/s/oC Vs = 332 + 13,2 = 345.2 m/s. @ 22oC. a. d = Vs*t = 345 * 0.8 = 276 m b. d1 = d V*T = Vs*(T+0.8) 3*10^8T = 345(T+0.8) 3*10^8T = 345T+276 3*10^8T = 276 T = 92*10^10^-8 s. d = V*T = 3*10^8 * 92*10^-8 = 276 m.
July 31, 2013

math
2L + 2W = 42 2*11 + 2W = 42 2W = 20 W = 10 L = 11
July 31, 2013

Physics
K = k1 + k2 = 35 + 55 = 90N/cm.
July 31, 2013

Math (Triangles)
A = B = (180-40.33)/2 = 69.83o = Base angles. sinA/a = sinC/c sin69.83/320 = sin40.33/c c*sin69.83 = 320*sin40.33 c = 320*sin40.33/sin69.83 = 220.6 mm Or cosA = 0.5*AB/AC AC*cosA = 0.5*AB AB = 2AC*cosA = 2*320*cos669.83=220.7 mm
July 31, 2013

Discrete Mathematics
Year 1--2013--3^0*500 = 500 Rabbits Year 2--2014--3^1*500 = 1500 Year 3--2015--3^2*500 = 4500 Year n--20xx--3^(n-1)*500 = 100,000 3^(n-1)*500 = 100000 3^(n-1) = 200 (n-1)*Log 3 = Log 200 n-1 = Log 200/Log 3 = 4.82 n = 5.82 or 6 Yrs.
July 30, 2013

Discrete Mathematics
Fx) = 2x + 3*1/x F(x) = 2x + 3/x
July 30, 2013

hs math
P = 249.73/mo * 72mo = $17,980.56 P = (Po*r*t)/(1-(1+r)^-t) = 17,980.56 r = (3.599%/12)/100% = 0.0029992 = Monthly % rate expressed as a decimal. (Po*0.0029992*72)/(1-(1.0029992)^-72)= 17,980.56 Po*0.21594/(1-(1-(1.0029992)^-72)=17980.56. 0.21594Po/0.19396 = 17980.56 1.11332Po...
July 29, 2013

physics
Eq1: 4*t = d Eq2: 5*t = 6 + d In Eq2, replace d with 4t: 5t = 6 + 4t 5t-4t = 6 t = 6 s. In Eq1, replace t with 6: d = 4 * 6 = 24 m.
July 29, 2013

physics
L1 = 0.810 m. Temp. Change = +18o C. T.C. = 1.9*10^-5/C a. T^2 = 4pi^2(L/g) T^2 = 39.4(0.81/9.8) = 3.25653 T = 1.8046 s. b. L2 = L1 + L1*(T.C.)*18 L2=0.81 + 0.81(1.9*10^-5)*18=0.81027702 m. T^2 = 39.4(0.81027702/9.8)=3.25764 T = 1.8049 s. Change in period = 1.8049-1.8046 = 0....
July 28, 2013

physics
m1*g = 0.30kg * 9.8N/kg = 2.94 N. L1 = 0.26 m. m2*g = 1.90kg * 9.8N/kg = 18.62 N. L2 = 0.75 m. a. K = (N2-N1)/(L2-L1) K = (18.62-2.94)/(0.75-0.26) = 32 N/M b. (2.94N/32N) * 1M = 0.092 M. L + 0.092 = 0.26 L = 0.26 - 0.092 = 0.168 M.
July 28, 2013

General Physics
Wt. of block=m*g = 4kg * 9.8N/kg=39.2 N. Et = Ek + Ep = 0.5m*V^2 Ek + Ep = 0.5*4*(5.1)^2 = 52 J. 0 + Ep = 52 @ hmax. Ep = 52 @ hmax Ep = mg*h = 52 39.2h = 52 h = 1.33 m. Dist. up ramp = h/sinA = 1.33/sin13= 5.91 m.
July 26, 2013

General Physics
F1 = (0.2m/1m) * 28N = 5.6 N. To stretch spring 0.2 m. Work = F1 * d = 5.6 * 0.2 - 1.12 J. F2 = (0.2m+0.06m)/1m) * 28 N.=7.28 N. Work = F2 * d = 7.28 * 0.26 = 1.89 J. 1.89-1.12 = 0.77 J. to stretch it an additional 0.06 m.
July 26, 2013

General Physics
m*g = 7453 N. m*g = 7453 N. Fp = 7453*sin25.9 = 3256 N. = Force parallel to incline. Fap = Fp = 3256 N. = Force applied. Work = F * d = 3256 * 4.04 = 13,152 J. fp =
July 26, 2013

geometry
<1 = <2 = 4x-9 = 63o. 4x-9 = 63 4x = 63+9 = 72 X = 18o. The value of 9 is 9.
July 26, 2013

physics
Vo = 60km/hr = 60000m/3600s = 16.67 m/s. V^2 = Vo^2 + 2a*d a = (V^2-Vo^2)/2d a = (0-(16.67)^2)/60 = -4.63 m/s^2. Wt. of car = m*g = 15000 N. mass = 15000/9.8 = 1531 kg F = m*a = 1531 * -4.63 = -7.1 N.
July 25, 2013

physics
a=(V-Vo)/t = (-48.4--43.8)/1.08=-85.37 m/s^2. F = m*a = 0.148 * -85.37 = -12.6 N.
July 25, 2013

Math
3^2 + 3 = 12. Units digit = 2.
July 25, 2013

calculus
V^2 = Vo^2 + 2g*h h = (V^2-Vo^2)/2g h = ((190)^2-(30)^2)/64 = 550 Fi.
July 24, 2013

compound intrest
T = 365 + 57 = 422 Days. r = (3.5%/365)/100% = 9.58904*10^-5 = Daily % rate expressed as a decimal. I = Po*r*T I= 32000*0.00009589*422 = $1294.90
July 23, 2013

Physics
Vc = 81000m/3600s = 22.5 m/s. = Velocity of car. F = ((V+Vr)/(V+Vc)))*Fh = 958Hz. ((345+22.5)/(343-22.5))*Fh = 958 367.5Fh/322.5 = 958 1.140Fh = 958 Fh = 841 Hz. = Freq. of horn.
July 22, 2013

Physics
A. h = Vo*t + 0.5g*t^2 = 0.481 m. 0 + 4.9t^2 = 0.481 t^2 = 0.09816 t = 0.313 s. Each ball. B. V = Vo + g*t V = 0 + 9.8*0.313 = 3.07 m/s. Each ball.
July 22, 2013

algebra
2^3*sqrt(18)/6 = 8*sqrt(9*2)/6 = 8*3*sqrt(2)/6 = 24*sqrt(2)/6 = 4*sqrt(2). sqrt means square root.
July 22, 2013

science
See previous post.
July 22, 2013

science
A = 5m[240o] B = 2.5+6i C = -2.5i X = 5*cos240 + 2.5 = 0 Y = 5*sin240 + 6 - 2.5 = -0.83 D = 0-0.83i = 0.83m[-90o].
July 22, 2013

general physics
V^2 = Vo^2 + 2g.h Vo^2 = V^2-2g.h Vo^2 = 0-(-19.8)*190sin13 = 837.7 Vo = 28.9 m/s.
July 22, 2013

dynamics
See 10:35am post.
July 22, 2013

Dynamics
Ek = 0.5m*V^2 *h - = 750 * 6^2 = 27,000 J. Wt. = Fg = 1500kg * 9.8N/kg = 14,700 N. Ep = Fg * h = 27000-Fk*d 14700*5*sin20 = 27000-Fk*5 25138.5 = 27000-5Fk 5Fk = 27000-25138.5 = 1861.5 Fk = 372 N.
July 22, 2013

dynamics
V^2 = Vo^2 + 2g*h h = (V^2-Vo^2)/2g h = (0-625)/-19.6 = 31.89 m. NOTE: V = 0 @ max. Ht.
July 22, 2013

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