# Posts by henry

Total # Posts: 13,638

Physics
V^2 = Vo^2 + 2g*h = 0 +19.6*1.25 = 24.5 V = 4.95 m/s. V(avg) = (Vo+V)/2 = (0+4.95)/2 = 2.47 m/s.

physics
Wc = M*g = 100kg * 9.8N/kg = 980 N. = Normal(Fn). Fap-Fk = M*a. 450-u*980 = M*0 = 0. -980u = -450. u = 0.459

physics
See previous post: Sun, 1-24-16, 10:49PM.

physics
d = r*t = 4.8*10^6m. 300*t = 4.8*10^6 t = 16,000 s. = 4.44 h.

Physics
X = 580 km/h = Velocity of airplane. Y = 92 km/h = Velocity of wind. Tan A = Y/X = 92/580 = 0.15862 A = 9.0o N. of E. Speed = Sqrt(X^2+Y^2) = km/h. Since the wind is northward, the direction is N. of E. NOT S. of E.

Electronics Engineering Technology
dbm = 10*Log(Po/Pi) = 10. 10*Log(Po/1) = 10. Log(Po/1) = 1.0. Po/1 = 10^1 = 10. Po = 10 mW = Power output of driver to transmitter. Po = Vo^2/R = 10 mW = 0.01 W. Vo^2/600 = 0.01 Vo^2 = 6. Vo = 2.45 Volts across 600 Ohms.

math
(7,5), (8,7), (x,11). Slope = (7-5)/(8-7) = 2. Slope = (11-7)/(x-8) = 2. 2x-16 = 4. X = 10.

physics
d = 0.5a*t^2.

PHYSICS
Vo = 50mi/h = 22.22 m/s. Wt. = 3000Lbs = 1362 kg. d = 200Ft = 60.61 m. a = -Vo^2/2d = -(22.22^2)/121.2 = -4.07 m/s. Fb = M*a = 1362 * (-4.07) = -5543 N. = Braking force. V = Vo + a*t = 0. t = -Vo/a = -22.22/-4.07 = 5.45 s. = Time required to stop.

PHYSICS
Mass = 1420Lbs * 0.454kg/Lb. = kg Wt. = M*g = 412kg * 9.8N/kg = Newtons.

Science
d = 0.5a*t^2.

Algebra 2
3a. V^2 = Vo^2 + 2g*h = 0. h = -Vo^2/2g + 70 = 422 Ft = Ht. above gnd. V = Vo + g*Tr = 0. 150 - 32*Tr = 0. 32Tr = 150. Tr = 4.7 s. = Rise time or time to reach max. ht. b. h = 0.5g*Tf^2 = 422. 16Tf^2 = 422. Tf^2 = 26.375. Tf = 5.14 s. = Fall time. Tr+Tf = 4.7 + 5.14 = 9.84 s...

science
(T-20)oC * 25*10^-6m/oC = 10^-3m. 25*10^-6T - 5*10^-4 = 10^-3 25*10^-6T = 1.5*10^-3 T = 0.06*10^3 = 60 oC.

Science
d = V*T = 8.66*10^7km = 8.66*10^10 m. 3*10^8 * T = 8.66*10^10.

ALgebra
X = \$10-coins. 54-x = \$20-coins. 10x + 20(54-x) = 780. 10x + 1080 - 20x = 780. -10x = -300. X = 30. 54-x = 54-30 = 24

Math
Do you mean V = (128/9)pi? V = pi*r^2*h = (128/9)pi. 3.14*r^2*8 = 44.7 r^2 = 1.78 r = 1.33 In. D = 2r = 2.7 In.

Math
4m * 100cm/m = 400 cm. 4m + 20cm = 400cm + 20cm = 420 cm.

physics
X = 8.30 m. Y = 7.00 m. Tan A = Y/X = 7.00/8.30 = 0.84337

math
As = 2pir^2 + 2pi*r*h = 6.28*2^2 + 6.28*2*9 = 138.2 In^2. 138.2In^2 * 1Ft^2/144In^2 = 0.959 Ft^2. 0.959Ft^2/box * 1500boxes = 1439.2 Ft^2. of cardboard.

Math
1/(1/4) * 1/2 = 1*4/1 * 1/2 = 2 Cups of apple juice.

Math
Width = W cm. Length = W+8 cm. 2W + 2(W+8) = 84 cm W = ?.

Correction: Change 0.04 to 0.044.

Check: I counted 213 days. I = Po*r*t = 760*(0.04/365)*213 =

Math
A. (1/2)/(1/4) = 1/2 * 4/1 = 2 Batches of brownies. A. (4 4/5)/(2/5) = (24/5)/(2/5) = 24/5 * 5/2=120/10=12 Two-fifth pieces of rope. B. So their are 12 two-fifths in four and four-fifth. (32 1/4)/(1/8) = 258. A. B. 32 1/4 * 8 or 129/4 * 8. C. There are 258 one-eights in 32 1/4...

math
Ordinary Interest Ar = Ab - Ab*r*t. Ar = 500 - 500*(0.09/360)*82 = Amount received or Discounted value. Ar = 1000 - 1000*(0.15/360)*55 = Amount received or Discounted value.

math
Cost = (13.98+3.96)/6 =

Math
Ap=L*W = 100cm * 20cm=2000 cm^2 = Area of the paper. As = 2(W*h) + 2(L*h) + 2(L*W) = Surface area box. As=2(15*15) + 2(15*15) + 2(15*15) = 6(15^2) = 1350 cm^2. Ap-As = 2000 - 1350 = 650 cm^2 Left.

math
width = W Feet. Length = 2W+4 Feet. A = (2W+4)*W. (2W+4)*W = 100.

Math
X dimes. 81-x nickels. 0.1x + 0.05(81-x) = 5.75 Multiply both sides by 100: 10x + 5(81-x) = 575. x = ?

algebra
-9m^-2*n^5*2m^-3*n^-6 = -18m^-5*n^-1 = -18/m^5*n. Answer: B.

algebra
Day 1. x miles. 2. 3x+52 miles. 3. x-83 miles. D = x + 3x+52 + x-83 = 5x - 31.

how to set this up
See previous post: Tue, 1-19-2016, 1:56 PM .

49z^4-25y^4=(7z^2+5y^2)(7z^2-5y^2).

i dont know how to solve this
History: 0.93 = 93%.

i dont know how to solve this
English: (13/14)*100% = 92.9% Science: 93%. Math: (25/27)*100% = History: 9.93 = 93%.

how to set up this problem
Bal.=Ao - ((1/3)Ao+17.11+26.74) = Ao = \$75 = Initial amount.

math
I = Po*r*t = \$20. 325*(r/12)*2 = 20. 325*r/6 = 20. 325r = 120. r = 0.369 = 36.9% APR.

Math
P = Po(1+r)^n. r = (0.05/12)*1/2 = 0.0020833 = Semi-monthly % rate. n = 2Comp/mo. * 300mo = 600 Compounding periods. Solve for P. I = P-Po.

Math
P = Po + Po*r*t = 10,000. Po + Po*(0.04/52)*13 = 10,000. Po + 0.01Po = 10,000. 1.01Po = 10,000. Po = \$9900.99

Math
P = Po(1+r)^n = 2M. Po(1.04)^35 = 2. 3.94609Po = 2. Po = 0.50683M. = \$506,830.

math
P = Po(1+r)^n. r = (7%/12)/100% = 0.005833 = Monthly % rate expressed as a decimal. n = 12Comp/yr. * 1.5yrs. = 18 Compounding periods. P = 7000(1.005833)^18 = \$7737.90. APY = ((P-Po)/Po)*100 =

Math
2. Given: P(0,5), m = 1/2. Y = mx + b = 5. (1/2)*0 + b = 5, b = 5. Eq: Y = (1/2)x + 5. 3. Given: (1,2), (2,3). m = (3-2)/(2-1) = 1/1 = 1. Y = mx + b = 2. 1*1 + b = 2, b = 1. Eq: Y = x + 1. 8. Same procedure as #3. 9. Given: (2,3), (x,y), m = -2. m = (y-3)/(x-2) = -2. Cross ...

Math
Y = (2/3)x + 2 x = 0 at the point where the graph crosses the y-axis. So in the Eq above, replace x with 0 and solve for y: Y = (2/3)*0 * 2 = 0 + 2 = 2. (x,y) = (0,2).

Math
P = 1,092 - (1/3+2/7)*1,092 = 1,092 - (7/21+6/21)*1092 = 1092 - (13/21)*1092 = 1092 - 676 = 416.

physics
Fap-Fk = M*a 550.27-Fk = M*0 = 0. Fk = 550.27 N.

ECE
Vb-a = 3 + 2 = 5 Volts. Va-b = -2 + -3 = -5 Volts. If the problem asked for Vb-a, I would say, +5 volts. If it asked for Va-b, I would say negative 5 volts. But it didn't ask for neither of the above; therefore, my answer would be "Five volts".

Physics
Vo = 1.67m/s[30o]. Yo = 1.67*sin30 = 0.835 m/s. Y = Yo + g*t = 0. 0.835 - 9.8*t = 0. 9.8t = 0.835. t = 0.0852 s. = 8.52*10^-2 s.

Physics
Fm = M*g=40kg * 9.8N/kg = 392 N. = Force of the mass. T1*Cos25 = -T2. T2 = -T1*Cos25 = -0.91T1. T1*sin25 = 392. T1 = 928 N. T2 = -0.91*T1 = -0.91 * 928 = -841 N.

Maths
a. 17/20 b. (17/20) * 100% =

Maths
4.39

Maths
5.078, 5.08, 5.287, 5.78, 5.8

Math
1. Friend's lunch = F. Your lunch = F+3. f + f+3 = 19. 2. Jason's wt. = 36 Lbs. His sister's wt. = w Lbs. w + 36 = 3w+4. 3. X packages sold last year. 35 = 2x-1. 4. 10 + x = 70. 5. 60 + x > 200. 6. 6.25h >= 143.75. your

math help
20 - 5 - 0.75x = 0. 20-5-0.75x = 0. 0.75x = 15. X = 20 Tickets.

Algebra
1. (3,8), (9,5). m = (5-8)/(9-3) = 2. (-7/2,-3), (-5,5/2). m = (5/2-(-3))/(-5-(-7/2)) = (5/2+6/2)/(-10/2+7/2) = (11/2)/(-3/2) = 11/2 * (-2/3) = -22/6. 3. (8,3), (x,y), m = 5. m = (y-3)/(x-8) = 5. Cross multiply: y-3 = 5(x-8).

Algebra
5k - 2k + 4k + 0.005k = 7.005k.

math
x^3 = 3.85*10^-17. Take the cube root of both sides by raising it to the 1/3 power: (X^3)^(1/3)=(3.85*10^-17)^(1/3). X = 3.38*10^-6.

Trigonometry
h/38 = 0.34/0.69

Math
42 < -6d. -7 > d. or d < -7.

physics
a = (V-Vo)/t. Initial Momentum = M*Vo. Final momentum = M*V. Change in momentum = M*V-M*Vo. F = M*a.

Math
See previous post.

Math
Multiply Eq1 by -2 and add: Eq1: -3x - 4y = -22. Eq2: +3x + 6y = 22. Sum: 2y = 0. Y = 0. In Eq2, replace y with 0 and solve for x: 3x + 6*0 = 22. X = 7 1/3. One solution.

Math Check (thanks)
1. 6/(4*5) = 6/20 = 3/10 = 30%. 3. 19/25 = 0.76 = 76%. 4. 0.09 * 100% = 9%. 5. 37.1%/100% = 0.371. 6. 0.8 = 80%; 7/8 = 87.5%. 19/25 = 0.76 = 76%. Order: 19/25, 0.8, 81%, 7/8. 7. (165/250) * 100% = 8. (4/15) * 100% = 9. (52/5) * 100% = 10. 365%/100% = 3.65 = 3 13/20. 11. 100...

Math
A semicircular shape is in a (fills it) rectangle. If the perimeter of the rectangle is 30 cm, fine the perimeter of the semicircular shape.

Algerbra
y + 4x = 3. y + 4*(-1) = 3. Y = 7. (-1,7). y + 4*5 = 3. Y = -17. (5,-17).

Physics
Vo = 100m/s[30o]. Yo = 100*sin30 = 50 m/s. Y^2 = Yo^2 + 2g*h. h = (Y^2-Yo^2)/2g + ho. y = 0. g = -9.8 m/s^2. ho = 100 m. h = ?

math
(-6,1), (-3,2). m = (2-1)/(-3-(-6))/ = 1/3. Y = mx + b. (1/3)(-6) + b = 1. -2 + b = 1. b = 3. Y = (1/3)x + 3.

maths
T1*T2/(T1+T2) = T3. T1*(T1-10)/(T1+(T1-10)) = T1-18. (T1^2-10T1)/(2T1-10) = T1-18. Multiply by 2T1-10: T1^2-10T1 = 2T1^2-36T1-10T1+180 -T1^2 + 36T1 - 180 = 0 T1^2 - 36T1 + 180 = 0. -6*-30 = 180, -6 + -30 = -36 = B. (T1-6)(T1-30) = 0. T1-6 = 0, T1 = 6 h. T1-30 = 0, T1 = 30 ...

maths
T = Ta*Tb/(Ta+Tb) = 40*30/(40+30)= 17.14 Min. to fill with both pipes open. (17.14-5)/17.14 = 0.708 of a tank to be filled. 5 + 0.708*40 = 33.34 Min., total.

Math
400qts. = 1600 Cups. 400qts < 4000 Cups. or 4000Cups > 400qts.

Math
400qts * 32oz/qt * 1cup/8oz = 1600 Cups.

Math
X > c-b.

physics
Unless otherwise stated, all angles are measured CCW from the +x-axis. D = -120 + 210[315o] + 280[60o]. X = -120 + 210*Cos315 + 280*Cos60 = 168.5 m. Y=210*sin315 + 280*sin60 = 94 m. Tan A = Y/X = 94/168.5 = 0.55786 A = 29.2o D = X/Cos A = 168.5/Cos29.2 = 193 m[29o]. b. ...

physics
610MW = 610MJ/s. a. Energy = 610MJ/s * 3600s/h * 24h/day * 30days = 1.581*10*9 MJ.

math
I = Ab*r*t=749.25*(0.12/360)*120 = \$29.97 Ar = Ab-I=749.25 - 29.97=\$719.28 = Amount received(proceeds). I = Interest. Ab = Amt. borrowed. Ar = Amt. received.

1 math question
Correct.

Calculus
A water tank is made by rotating f(x)=2^x-1 between [0,2] about the y-axis. The water tank is initially full, when a hole is opened at the bottom tip so that the water drains at a rate of 4 unit^3/second. How fast is the height of the water decreasing when the height has ...

Math
2. T-((T/2)-6 + (T/3)-2) = T-((3T/6)-6 + (2T/6)-2) = T - ((5T/6) - 8) = T - 5T/6 + 8 = 6T/6 - 5T/6 + 8 = T/6 + 8.

Math
1. #1. m. #2. 2m-1. #3. 4m-2-1 = 4m-3. #4. 8m-6-1 = 8m-7. #5. 16m-14-1 = 16m-15. #6. 32m-30-1 = 32m-31. m + 2m-1 + 4m-3 + 8m-7 16m-15 + 32m-31 = 63m - 57.

Physics-Conservation of Momentum
V1 = 90km/h = 90000m /3600s = 25 m/s. V = 80km/h = 80000m/3600s = 22.2 m/s. M1*V1 + M2*V2 = M1*V + M2*V. M1*25+6000*0=M1*22.2 + 6000*22.2 25M1-22.2M1 = 6000*22.2. 2.78M1 = 133,200. M1 = 47,952 kg. = 4.8*10^4 kg.

Maths
(2/3)*3.14*(30/2)^3=3.14*r^2*22.5 7069 = 70.69r^2. r^2 = 100. r = 10 cm.

Math
1. D = 200[115o] + 150[230o]. X = 200*Cos115 + 150*Cos230 = -181 km. Y = 200*sin115 + 150*sin230 = 66.4 km. D = Sqrt(X^2 + Y^2) = Distance from C to A. Tan A=Y/X = 66.4/-181 = -0.36685 A = 20.1o N. of W. = 159.9o CCW. = Bearing.

Math
Vc = 12*18*6 = 1296 in^3. Vb = 4*6*2 = 48 in^3. Vc/Vb = 1296/48 = 27 Boxes.

ALGEBRA
9m/2 - 6 = -7/2 + 4m. Multiply both sides by 2: 9m - 12 = -7 + 8m. 9m - 8m = 12 - 7. m = 5.

area perimeter
2L + 2W = 28. Divide both sides by 2: Eq1: L + W = 14. Eq2: L*W = 24. L = 24/W. In Eq1, replace L with 24/W: 24/W + W = 14. Multiply both sides by W: W^2 + 24 = 14W. W^2 - 14W + 24 = 0. 24 = -2*-12, -2 + -12 = -14 = B. (w-2)(w-12) = 0. w-2 = 0, W = 2. w-12 = 0, W = 12. (L,W) (...

Typo (Test Marked)
1. N = 0.73 * 215 = 156.95 2. 23/94 = 0.2447 = 24.47%. 3. 80 = 0.40*N. N = 200. 4. C = 0.05 * 1250 = \$62.50 5. 100% + 6% = 106% = 1.06 Total Cost = 1.06 * 325 = \$344.50

pre-algebra
1. Do you mean (y-5)/3 = 1 ? If so, y-5 = 3, Y = 8. If you mean y - 5/3 = 1, The answer is 8/3 or 2 2/3(Ms Sue's answer). Without the parenthesis, the tutor don't know what you mean ; because their are 2 possibilities.

Algebra
(4,-2), (0,-4). m=(-4-(-2))/(0-4) = -2/-4 = 1/2. Y = mx + b = -2. (1/2)4 + b = -2. 2 + b = -2. b = -4. Eq: Y = (1/2)x - 4.

Math
x-2y = 0. 2y = x. y = (1/2)x. Slope = 1/2 = Tan A. A = 26.57o. Cos 26.57 = 0.89443.

Algebra
m = (-5-r)/(3-1) = -4. (-5-r)/2 = -4. Multiply by 2: -5-r = -8. r = 3.

Algebra
Correct!

Algebra
Correct.

Algebra.
To break even: Income = Expense. 5x + 1300 = 3x + 1800 + 1500. 5x - 3x = 1800 + 1500 - 1300. 2x = 2000. X = 1000 Tickets.

Algebra
P = 2L + 2W. W = L. P = 2L + 2L = 4L. 20< P < 94. 20< 4L < 94. Divide by 4: 5< L < 23.5 in. 5< W < 23.5 in.

Algebra 1
1. (-3,2).

Algebra 1
Correct.

Algebra 1
Eq1: 4x + 2y = 10. Eq2: Y = -3x + 6. In Eq1, replace y with -3x+6 and solve for x: 4x + 2(-3x+6) = 10. 4x - 6x + 12 = 10. -2x = -2. X = 1. In Eq2, replace x with 1 and solve for y: Y = -3*1 + 6 = 3. Solution: (1,3).

Algebra 1
None of the give answers satisfy BOTH of the given equations. Remember that each answer must satisfy BOTH equations. My answer: (-2/3,-77/3) satisfies BOTH equations.

Algebra 1
Eq1: 4x - y = 23. Eq2: 7x - y = 21. Multiply Eq2 by -1 and add: +4x - y = 23. -7x + y = -21. Sum: -3x = 2. X = -2/3. In Eq1, replace x with -2/3 and solve for y. 4(-2/3) - y = 23. Y = ? You should get: Y = -77/2 = -25 2/3.

Algebra 1
Eq2: y + 4 = -3x. Y = -3x - 4. Eq1 and Eq2 are identical. Therefore, there are an infinite number of solutions. The graph is a single line.

algebra 1
A. Correct. B. In Eq1, replace x with 30+y and solve for y: 30+y + y = 60. 2y = 30. Y = 15 Minutes on free hand exercises. C. Yes, but the time spent in the gym would be 55 minutes(15+40) instead of 60 minutes.