Posts by henry

Total # Posts: 14,121

Math
A. 1/2.

Math
Cost = 59 + 13*44 =

Geometry
c^2 = 9^2 + 12^2. C = 15 Ft. (Rt. triangle). Possible values: 9, 12, 15Ft. The 9 and 12 Feet lengths form Isosceles triangles.

Math
37 + 1.5x = 50. X = ?.

Finance
D/E = 0.604 D/36,231 = 0.604 D = 0.604 * 36,231

physics

Math
Correction: r = 0.02/12 = 0.001667/mo.

Math
P = Po(1+r)^n. Po = 0.9 * 13,700 = r = 0.0212mo., = 0.001667/mo. n = 12Comp./yr. * 3yrs. = 36 Compounding periods. P/36 = Monthly payments.

Math
All of your prob. are similar.

Math
Correction: P = 150 * 48 = \$7200.

Math
P = Po(1+r)^n. P = 4 * 150 = \$600. r = 0.15/12mo. = 0.0125/mo. n = 12Comp./yr. * 4yrs. = 48 Compounding periods. Po = ?.

Math
P -= Po(1+r)^n. Po = \$9000. r = 0.08/12 = 0.00667/mo. n = 12Comp./yr. * 5yrs. = 60 Compounding periods.

physics
V = 6.2 + 7.8i = 9.96km/h[51.5o].

d = d1+d2 = 12 + 16 = 28km = Total distance ran. If the time was 3h, r = 28km/3h = 9.33 km/h = Avg. speed. Disp. = 16 + 12i = 20km[36.9o]. V = 20km[36.9o]/3h = 6.67km/h[36.9o].

College Algebra
b^2 + 12b + 36-48 = 0. b^2 + 12b - 12 = 0 Use Quadratic formula: b = (-B +- sqrt(B^2-4AC))/2A. b = (-12 +- sqrt(12^2+48))/2 = ?. You should get 0.928, and -12.928. Note: 48 is positive, because we are subtracting a -48.

physics
M*g = 15 * 9.8 = 147N. = Wt. of crate. sin A = h/d = 2.5m/5.7m = 0.43860 A = 26o. a. F = Fp = 147*sin A = Force parallel with the incline. b. Work = F*d = d = 5.7m. Work in Joules.

physics
V1 = V2. d1 = d2 = 6.4km/2 = 3.2 km before collision. M*g = 1.2*10^6, M = 1.2*10^6/9.8 = 1.22*10^5 kg. V^2 = Vo^2 + 2a*d. V^2 = 0 + 0.52*3200 V = 40.8 m/s. = Velocity before collision. KE = 2(M*V^2/2) = M*V^2.

Algebra
Eq3: 2x + 2z = 4. Z = 2-x. In Eq1 replace z with 2-x. -x -y - (2-x) = -8 -x - y -2 + x = -8 Y = 6. In Eq2, replace y with 6 and solve for z: -4 + 4*6 + 5z = 7. Z = -13/5. Z = 2-x. -13/5 = 2-x X = 2 + 13/5 = 23/5. (x,y,z) = (23/5, 6, -13/5).

Physics
59.72*10^23/6.39*10^23 = 9.35 Times Mass of mars.

V^2 = Vo^2 + 2g*h. 0 = 27.5^2 - 19.8h h = 38.6m. above launching point. ho + h = 2 + 38.6 = 40.6m above gnd. V = Vo + g*Tr. 0 = 27.5 - 9.8Tr Tr = 2.81s. = Rise time. 0.5g*Tf^2 = 40.6. Tf(fall time) = ?. Tr+Tf = Time to reach gnd.

Physics Help!!!
Circumference = pi*2r = 3.14 *2*0.355 = 2.23m. Disp. = 12.7m * 1rev/2.23m * 6.28rad/rev = 35.8rad.

Physics Due Tonight Help!!!!!

Geometry
1. Draw 2 rectangles. 2. Starting from the lower left hand corner, go CCW and label the 1st one CDEF. 3. Repeat step 2 for the 2nd rectangle, labeling it KLMN. a. KL = CD. b. KN = CF. c. MN = EF. d. LM = DE.

math
Tan A = y/x = 300/1000 = 0.300. A = 16.7o.

Physics
Conservation of momentum: Mc*V1 + Mt*V2 = Mc*V3 + Mt*V4. 0.01*2 + 0.36*0 = 0.01V3 + 0.36V4. Eq1: 0.01V3 + 0.36V4 =0.02. V3 = 2-36V4 Conservation of KE: 0.5Mc*V1^2 = 0.5Mc*V3^2 + 0.5Mt*V4^2. 0.5*0.01*2^2 = 0.005V3^2 + 0.18V4^2. Eq2: 0.005V3^2 + 0.18V4^2 = 0.02. Eq1 = 0.02; Eq2...

physics
a. k = F/d = M*g/d = (0.536*9.8)/0.18m = 29.2N/m.

Science
KE = 0,5M*V^2.

Physics
A. k = F/d = M*g/d = 1.9*9.8/0.029 = 642N/m. B. 0.0906m * 642N/m = 58.2N. Mass = 58.2/9.8 = 5.94kg.

physics
d = Vo^2*sin(2A)/g = 73.4 m. A = 45o @ max hor. distance. Vo^2*sin(90)/9.8 = 73.4. Vo^2/9.8 = 73.4 Vo = 26.8m/s[45o]. Yo = 26.8*sin45 = 19m/s. = Ver. component. Y^2 = Yo^2 + 2g*h. 0 = 19^2 - 19.6h. h = ?.

Physics
M*g = 50 * 9.8 = 490 N. = Wt. of the crate. Fn = 490*Cos 0 + 315*sin21 = 602.9 N. = Normal force. Fk = u*Fn = 0.21 * 602.9 = 126.6 N. = Force of kinetic friction. Fap-Fk = M*a. 315*Cos21-126.6 = 50a, a = ?. d = 0.5a*t^2, t = 15s.

Force, Gravity, Resultant Force, Vectors
a. ii. Tan A = Y/X = 5*10^7/12*10^7 = 0.41667, A = 22.6o = The direction. 12*10^7/Cos22.6 = 13*10^7 = 1.3*10^8N. = Magnitude.

Force, Gravity, Resultant Force, Vectors
a. i. The problem does NOT ask for the resultant force, it only asks for the x- and y-components of the resultant force: x1+x2 = 12*10^7. y1+y2 = 5*10^7 (x,y) = (12*10^7, 5*10^7).

Math help
(3^1/3 * 5^-1/2)^6. Multiply both exponents by 6: 3^6/3 * 5^-6/2 Replace the improper fractions by whole numbers: 3^2 * 5^-3 = 9 * 1/5^3 = 9 * 1/125 = 9/125. I hope this helps.

Algebra I
D = Do + (h/1000)*6ft D = 220 + (2500/1000)6ft = 235 ft.

Physics
Disp. = 3 + (-6) = -3km = 3km West.

Math
A. d = 2 * 1004 = 2008 miles. 2008mi/(25mi/gal) = 80.32 gal, max required. B. 80.32gal * 3.69/gal = \$296.38 = Budget for gas. They fill-up each time they use 3/4 of a tank of gas(12.75 gal). 12.75gal * 25mi/gal = 318.75 miles/fill-up. 2008mi/(318.75mi/fill-up) = 6.3 or 7 fill...

Physics
V^2 = Vo^2 + 2g*h. V^2 = 0 + 19.6*0.7 = 13.72 V = 3.7 m/s = Velocity at the bottom of the ramp. M1*V1 + M2*V2 = M1*0 + M2*V. 0.05*3.7 + M2*0 = 0 + 0.2V 0.185 = 0.2V V = 0.925m/s = Final velocity of the truck.

Maths
0.85(Pw+38) = 53.55. Pw + 38 = 63 Pw = 25. = Price of the watch.

PHYS
M*g = 22 * 9.8 = 215.6 N. = Wt. of the Mass. k = 215.6N/0.15m = 1437.33N/m.

science
Increasing the length of a pendulum increases the period and decreases the frequency.

Math
4*3.141*(7*10^5)^2 = 12.564*49*10^10 = 615.636*10^10 = 6.15636*10^12. 8

physics
See previous post: 10-24-17, 6:05 PM.

physics
M1*V1 + M2*V2 = M1*V3 + M2*V4. 0.230*56.1 + M2*0 = 0.230*41.4 + 0.0446*V4. V4 = ?.

Physics
a. X1 = 4*0^2 + 2 = 2m. @ t = 0s. X2 = 4*3^2 + 2 = 38m. @ 3s. Disp. = X2-X1 = 38 - 2 = 36m. b. V = 36m/3s. = 12m/s. c. V(0s) = 0 m/s. d. a = (12-0)/(3-0) = 4m/s^2. e. a(0s) = 0m/s^2. a(3s) = 4m/.s^2.

math
r = 0.08/4 = 0.02 = Quarterly % rate expressed as a decimal. I1 = P1*r*t = 2000*0.02*1 = \$40.00 I2 = P2*r*t = 2040*0.02*1 = \$40.80 I3 = P3*r*t = 2080.80*0.02*1 = \$41.62 I4 = P4*r*t = 2122.42*0.02*1 = \$42.45 Bal. = 2000 + 164.87 = 2164.87.

Math
Right now: My son is X yrs. old. My age = 3x years old. Five yrs. ago: My son's age: x-5. My age: 3x-5. 3x-5 = 4(x-5). 3x-5 = 4x-20 X = 15 = My son's age now. my son

Physics
V^2/R = 10. V^2/250 = 10.

Physics
A. Disp. = -4 + 2i + 6 = 2 + 2i. Disp. = sqrt(2^2+2^2) = 2.83 Blocks. B. Tan A = 2/2 = 1. A = 45o N. of E. C. Distance = 4 + 2 + 6 = 12 Blocks.

Physics
A. Disp. = 51km[90o] + 82km[31o]. Disp. = 51i + (70.29+42.23i) = 70.29 + 93.2i. = sqrt(X^2+Y^2). B. Tan A = Y/X. 9

Physics
All angles are measured CCW from +x-axis. Disp. = 5.5m[90o] + 5.3m[45o] + 8.6[257]. Disp. = 5.5i + (3.75+3.75i) + (-1.93-8.38i = 1.82 + 0.87i. Disp. = sqrt(1.82^2+0.87^2) =

Physics
A. Disp. = 12.7[90o] + 7.5[45o] + 14.4[180o]. Disp. = 12.7i + (5.30+5.30i) - 14.4 Disp. = 18i - 9.1 Disp. = sqrt(9.1^2+18^2) = B. Tan A = y/x = 18/(-9.1) = -1.97802. A = -63.18o = 63.18o N. of W. = 116.8o CCW.

Physics
Disp. = 43 yds.

Physics
A. X = 42.8*Cos21.8 = 39.7 m. B. Y = 42.8*sin21.8 = 15.9 m.

Physics
a. Draw a straight hor. arrow pointing to the right. From the head of this arrow, draw a ver. arrow pointing downward to form a right angle. Draw the hypotenuse to form a right triangle. The length of the hyp. is the displacement from the starting point: Disp. = 3 - 25i. ...

physics
F1 = 100*Cos60 = F2 = 100*sin60 =

algebra
Cost = Total expense/2.

math
P = Po(1+r)^n. Po = \$2,000. r = 0.03/year. n = 1 Compounding period. P = ?.

pre-algebra
55t => 440. t => 440/55 t => 8 Hours.

Physics
M*g = 3.7 N. = Wt. of the block. M = 3.7/9.8 = 0.378 kg. Fn = 3.7*Cos30 = 3.2 N. = Normal force. Fk = u*Fn = 0.3 * 3.2 = 0.96 N. = Force of kinetic friction. d = h/sin30 = 0.75/sin30 = 1.5m. = Distance to top of incline. KE = PE-Fk*d. 0.5M*V^2 = Mg*h-Fk*d 0.5*0.378V^2 = 3.7*0....

Pre-algebra
Mileage = 96m/4g = 24m/g/4g d = 24m/g * 4g

Math
T*sin(180-10) + T*sin10 = 500. 0.174T + .174T = 500 0.347T = 500 T = 1440 N.

Math
F = M*a. a = F/M = -10,000/2000 = -5m/s^2. V^2 = Vo^2 + 2a*d. 0 = 30^2 - 10d. d = ?.

Math
F = sqrt(F1^2+F2^2).

physics
F = 10.5N[61o]. Fx = 10.5*Cos61 = Fy = 10.5*sin61 =

Math
In factored form: P = Po + Po*r*t = Po(1+rt).

Math
P = Po + Po*r*t. 459 = 270 + 270*0.1*t t = ?. = Time in years.

MAth
(-3)^2*(-3)^2 + 5(48-7) = 81 + 5(41) = 81 + 205 = 286.

Math
Given: 3(6/30), 0.5, 6/13, 1/4. Convert to decimal: 0.6, 0.5, 0.46, 0.25. Lowest to highest: 1/4, 6/13, 0.5, 0.6.

Physics
Wt. = M*g. In units of Newtons.

physics
M*g = 36 * 9.8 = 352.8 N. = Wt. of block. Fp = 352.8*sin29o = 171 N. = Force parallel to the incline. Fn = 352.8*Cos29 = 308.6 N. = Normal force. 1. Fs = u*Fn = 0.62 * 308.6 = 191.3 N. = Force of static friction. 2. Fp = Fs. 352.8*sin A = 191.3 A = ?. 3. Fp = 352.8*sin36 = 207...

math
Do you mean 5 years?. If 8% is lost per year for 50 years, that's a loss of 400%. But the most that can be lost is 100%(10,000).

physics
d = 270m = Required stopping distance. Vo = 180km/h = 180,000m/3600s = 50m/s. = Initial velocity before take-off. V^2 = Vo^2 + 2a*d. 0 = (50)^2 + 2a*270 -540a = 2500 a = -4.63m/s^2. V = Vo + a*t. 0 = 50 - 4.63t t = ?.

math
P = Po + Po*r*t. P = 300 + 300*0.02*24mo. =

physics
Vw = 250 - 225 = 25 m/s, North.

Physics
Vo = 35m/s[25o]. = Initial velocity. Xo = 35*Cos25 = 31.7 m/s = Hor. component of initial velocity. Yo = 35*sin25 = 14.8 m/s = Ver. component of initial velocity. a. X = Xo = 31.7 m/s and does not change. b. Y^2 = Yo^2 + 2g*h = (14.8)^2 -19.6*10 = 23.04 Y = 4.8 m/s. c. V = Xo...

Physics
See similar Questions: 1-20-14, 8:35PM.

Physics
ho = 0.5a*t^2 = .5*58.8*5^2 = 735 m. = Ht. @ the beginning of free fall period. ho + h = Ht. above gnd.

Physics
Vo = a*t = 58.8 * 5 = 294 m/s. = Velocity at the beginning of free fall period. V^2 = Vo^2 + 2g*h = 0 @ max ht. (294)^2 - 19.6h = 0. h = ?.

Algebra
P2 = P1 - 1.10 = 0.8P1. 0.2P1 = 1.10 P1 = \$5.50. P2 = 0.8P1 = 0.8 * 5.50 = \$4.40 = Current price.

Math
APR = 6%?. P = Po(1+r)^n. Po = 12,000 = Initial investment. r = 0.06/2 = 0.03 = Semi-annual % rate expressed as a decimal. n = 2comp./yr. * 20yrs. = 40 Compounding periods.

Physics
post it.

Physics
Work = Fe*CosA * d = 42*Cos54 * 359 =

Math
78,000 - 74,000 = \$4,000 - Absolute change. 74,000 - 78,000 = -\$4000 = Relative change. 74,000/78,000 = 0.9487 = 94.87% of old salary. 100-94.87 = 5.13% Less than the old salary. New salary = 0.9487 times the old salary.

Math
Joe drives X mi/h. Bill drives 3x mi/h. 3x + 3(3x) = 120. X = ?. 3X = ?.

Math
d = r*t. 6 = 4 * t. t = Time in hours. Convert to min.

physics
Fn = M*g*Cos25 = 25*Cos25 =

Physics
T1 = 130mi/(65mi/h) = 2 h. T2 = 130mi/(80mi/h) = 1.625 h. Time saved = T1-T2.

algebra
1a. 0.5x + 5 =< 30. b. 0.5x =< 30-5 X =< 50 miles. 2. 12mi/h * 5280ft/mi * 1yd/3ft * 1h/60min = 352 Yds./min. = Speed of the fish. 4.4ft/s * 1yd/3ft * 60s/min = 88 yds./min. = Speed of the boy. 352 - 88 = 264 yds./min faster.

algebra
50steps/min * 20min = 1000 Step head-start for Dori. 90 * T = 50 * T + 1000. 90T = 50T + 1000 T = 25 min. to catch up.

Physics
V = Vo + a*t = 0 + 4*3 =

Physics
V^2 = Vo^2 + 2a^d. V^2 = (3.6)^2 - 2*0.5*5. V = ?.

Physics
Vo = 45km/h = 45000m/3600s = 12.5 m/s. V^2 = Vo^2 + 2a*d. 0 = (12.5)^2 - 2*5.2*d. d = ?.

Physics
Vo = 4m/s[21o]. Yo = 4*sin21 = 1.43 m/s. = Ver. component of initial velocity Y^2 = Yo^2 + 2g*h = 0 @ max htg. (1.43)^2 - 19.6h = 0 h = 0.104 m. d = h/sin21 = 0.104/sin21 = 0.291 m. up incline.

Math
Multiply the numerator and the denominator by the same number: 1/2 = 1*2/2*2 = 2/4 which is equivalent to 1/2.

Math
h = 0.5625 + 7.75 + W = 9. W = 9 - 0.5625 - -7.75 = 0.6875 in. = Width of margins @ bottom of each page.

Algebra
See previous post: Wed, 10-11-17, 6:50PM.

math
I = P*r*t = 800*0.06*2 =

Physics
See previous post: Mon, 10-9-17, 3:36PM.

Science
V^2 = Vo^2 + 2g*h. V^2 = 64^2 - 64*48 = 1024 V = 32 ft./s. 64 - 32 = 32 ft./s = Velocity lost. 32 = k * 64. k = 0.5.

Physics
All angles are measured CCW from +x-axis. Disp. = 52km[259o] + 26[22] + 47[205]. Disp. = (-9.92-51i)+(24.1+9.74i)+(-42.6-19.9i) = -28.42 - 61.16i = 67.44km[65.1o] N. of E.