Saturday
April 19, 2014

Posts by Henry


Total # Posts: 8,520

Math 116
Multiply Eq1 by -6: -6x - 18y = -30 +6x - 6y = 14 Add the Eqs: -24y = -16 Y = 2/3. In Eq1, replace Y with 2/3: x + 3*2/3 = 5 x + 2 = 5 X = 3.

Math 116
Eq1:-6x - 2y = 12 Eq2:12x - 4y = -24 Multiply Eq1 by -4 and Eq2 by 2: 24x + 8y = -48 24x - 8y = -48 Add the Eqs: 48x = -96 X = -2. In Eq1, replace X with -2: -6*(-2) - 2y = 12 12 - 2y = 12 -2y = 12-12 = 0 Y = 0 (-2,0).

Math Algebra1A
Those are the only 2 that I know.

grade 4 math
10^x = 59,187 Take Log of both sides: x*Log 10 = Log 59187 X = Log59187/Log 10 = 4.77223. 10^4.77223 = 59187.

math
Monthly Salary = $X. Spends1/4 * $X = X/4. Bal. = X-X/4 = 3x/4. Spends1/5 * 3x/4 = 3x/20 Bal.=3x/4-3x/20 = 15x/20-3x/20=12x/20= 3x/5. Transportation: 1/10 * 3x/5 = 3x/50 Bal.=3x/5 - 3x/50 = 30x/50-3x/50=27x/50. 27x/50 = 630 27x = 31500 X = $1166.67.

physics
See previous post.

physics
See previous post.

physics
Vavg. = (30+45)/2 = 37.5 km/h.

algebra
Vb + Vc = 22 Vb - Vc = 8 Add the Eqs: 2Vb = 30 Vb = 15 mph. Replace Vb in Eq1 with 15: 15 + Vc = 22 Vc = 7 mph = Velocity of the current.

Math
787/9 = 87 Strawberries/carton. Bal. = 87 * 5 = 435 Strawberries 435strawberries/5strawberries/carton = 87 Cartons.

physics
h = 0.5g*t^2 = 81.6 m. 4.9t^2 = 81.6 t^2 = 16.65 t = 4.08 s. to hit ground. d = 9.13-4.30 = 4.83 m. = Distance the boat traveled in 4.08 s. Speed = d/t = 4.83/4.08 = 1.18 m/s.

Physics
Vo=a*t = 4i7 * 0.0475 = 19.8 m/s[59.70]. a. Xo = 19.8cos59.7 = 10 m/s. b. Yo = 19.8sin59.7 = 17 m/s.

physics
See Related Questions:Sun.6-16-13,11:00 PM.

Math
A. $3800-200 = $3600 = Variable cost. $3600/20Boards = $180/board. C(x) = 180x + 200.

physics
d1 = d2 44(t+0.7) = Vo*t + 0.5a*t^2 44t + 30.8 = 15t + 2.5t^2 2.5t^2 + 15t-44t-30.8 = 0 2.5t^2 -29t - 30.8 = 0 Use Quadratic Formula and get: t = 12.6 s. -

physics
V^2 = Vo^2 + 2g*d V^2 = 0 + 19.6(51.5-12.9) = 756.56 V = 27.5 m/s. d = Vo*t + 0.5g.t^2 = 12.9-1.6 = 11.3 m d = 27.5*t + 4.9t^2 = 11.3 4.9t^2 + 27.5t - 11.3 = 0 Use Quadratic Formula and get: t = 0.385 s.

Physics
Total Energy = KE + PE = 0.5m*V^2 + mg*h = 2*400 + 4*9.8*50 =

Finance
Correction: t = 180 Months.

Finance
P=1626.83 * 15yrs. * 12mo./yr.=292829.40 P = (Po*r*t)/(1-(1+r)^-t) = 292829.40 r = (4%/12)/100% = 0.00333 = Monthly % rate expressed as a decimal. t = 15yrs. * 12mo/yr. = 189 Months. (Po*0.00333*180)/(1-(1.00333)^-180)= 292,829.40 0.5994Po/0.45031 = 292829.40 1.33108Po = 29282...

math
3*8/6/7 = 24/6/7 = 4/7 = 0.571

math
How often is it compounded?

Math
P = Po(1+r)^n. r = 11%//100% = 0.11 = Annual % rate expressed as a decimal. n = 1comp./yr. * 14yrs.=14Compounding periods. Plug the above values into the given Eq and solve for P.

physics
D = Do + (V^2-Vo^2)/2a. D = 24.1m/s*0.366s + (0-(24.1)^2/-16 = 8.82 + 36.3 = 45.1 m.

physics
a. a = (11.3-0)/3.72 = 3.04 m/s^2. b. d = 0.5*3.04*(3.72)^2 = 21.0 m.

physics
c. d2-d1 = 25.5-9.48 = 16.0 m.

physics
a. a = (V-Vo)/t = (5.64-0)/3.36=1.68 m/s^2. d1 = 0.5a*t^2 = 0.5*1.68*(3.36)^2=9.48 m. b. a = (39.8-24.6)/3.36 = 4.52 m/s^2. d2 = 0.5*4.52*(3.36)^2 = 25.5 m. c. d2 d1 = 25.5 9.48 = 16.0 m.

physics
a. V = Vo + at. t = (V-Vo)/a = (49.4-39.4)/4.06 =

Math
P = Po(1+r)^n. r = (4.2%/2)/100% = 0.021 = Semi-annual % rate expressed as a decimal. n = 2comp./yr * 4yrs. = 8 Compounding periods. P = Po(1.021)^8 = 1400 Po = 1400/(1.021)^8 = $1185.56

math
P = Po(1+r)^n r = (5.6%)/12)/100% = 0.00467 = Monthly % rate expressed as a decimal. n = 12comp/yr. * 3yrs. = 36 Compounding periods. P = 3700(1.00467)^36 = $4375.68. Int. = P-Po = 4375.68-3700 = $675.68

physics
h = -3.93t * 4.9t^2 = 4.91 m. 4.9t^2 - 3.93t - 4.91 = 0 Use Quadratic Formula and get: t = 1.48 s.

physics
F = m*a = 89 * 0.29 = 25.8 N. d = 25.8N/2100N * 1m = 0.0123 m.

Physics
Va = 5400rev/min*1min/60s*6.28rad/rev = 565.2 rad/s. t = (12rev/5400rev) * 60s = 0.133 s. V = Vo + at = 0 at = -Vo a = -Vo/t = -565/0.133 = -4248 rad/s^2.

math
ht = X Ft. Base = X-5) Area = B/2 * h = 42. (x-5)/2 * x = 42 (x-5)x = 84 x^2-5x = 84 x^2-5x-84 = 0 (x+7)(x-12) = 0 X = -7, and 12 Ft. = ht. Base = 12-5 = 7 Ft.

physics
a=(V-Vo)/t = (-40-25)/0.01=-6500 m/s^2. F = m*a = 0.055 * -6500 = -358 N.

GEOMETRY I BEG YOU PLEASE HUHUHU
-sqrt(7) = -2.65 Y(-2.65,6), W(-2,3), h(5,12). W is between y and h.

math
tan35 = h/360. h = 360*tan 35 = 252 Ft.

Intermediate algebra, concepts and graphs
Step 1: h = -16t^2+64t+80=128.

Intermediate algebra, concepts and graphs
Step 1: h = -16t^2+64t+80=128.

Intermediate algebra, concepts and graphs
t^2-4t-5=-8 (t-1)(t-3)=0

Intermediate algebra, concepts and graphs
t^2-4t-5=-8

Intermediate algebra, concepts and graphs
My post was rejected.

Physics
V = d/t = 80/2 = 40 mi/h.

PLEASEEE GEOMETRY
H(-4,5). J(-1,10). I(1,sqrts). Point J is between H and I.

geometry
Answer: D.

GEOMETRY
O = 3*sqrt(2) = 4.24. N = 2*sqrt(5) = 4.47. M = 5. N is between O and M.

physics
Zero Degrees.

Geometry
post it.

Geometry
As = pi*r^2 + pi*D*h As = 3.14*100 + 3.14*20*42 = 2953 m^2.

physics
Zero Degrees.

power dissipation please help
P = V*I = 2 * 20 = 40 mW. = 0.04 W.

transformers
Z1 = (25)^2 * 2x = 1250k Ohms I1 = 50/1250k = 0.04 mA.. i

physics
See previous post.

physics
See previous post.

physics
See previous post.

physics
See previous post.

physics
See previous post.

physics
V^2 = Vo^2 + 2ad a=(V^2-Vo^2)/2d=(900-0)/7400=0.122 m/s^2 d2 = 30m/s * 410s = 12300 m. d3 = (V^2-Vo^2)/2a d3 = (0-900)/-0.130 = 6923 m.

Physics
Shorted.

Math
1. The diagonal divides the rhombus into 2 congruent triangles. The altitude bisects the diagonal. (16/2)^2 + Y^2 = 10^2 Y^2 = 100-64 = 36 Y = 6 = Altitude. Area = 2(16/2 * 6) = 96 in^2.

Math
2. Decagon: 10 sides. Area = 2.94*r^2 = 2.94*4^2 = 47 cm^2.

College Level Physics
d = 2.5m/s * 6min*60s/min = 900 m. Work = F*d = 145cos30 * 900 = 443,856 J. = 444 kJ.

Algebra
x^2/12 + 11x/9 = 300 Multiply both sides by 36: 3x^2 + 44x = 10800 3x^2 + 44x - 10800 = 0 Use Quadratic Formula: X = 53.1 mi/h.

math
P = Po(1+r)^t P = 1320(1.08)^5 = 1940 Students.

math
Correction: Biweekly Gross = 38400/26 = 1476.92

math
Annual Gross = 24 * 1600 = $38400. Biweekly Gross = 38600/26 = 1476.92

Physical Science
1. V = L*F = 0.01*5 = 0.05 m/s=50 mm/s. 4. Changes speed.

Math>> Help!!
Tan A = Y/X = 4/3 = 1.3333. A = 53.13o. h = 20*sin53.13 = 16 Ft.

Please Help!! Math
Depth = X Ft. Width = 2X Ft. Length = 4X Ft. Vol. = 4x*2x*x = 1728 Ft^3 8x^3 = 1728 x^3 = 216 X = 6 Ft. 2X = 12 Ft. 4X = 24 Ft.

HELP!!! Math
Width = X Ft. Length = 3X/2 Ft. Area = (3x/2) * X = 15,000 Ft^2 Multiply both sides by 2: 3x * x = 30.000 3x^2 = 30000 x^2 = 10000 X = 100 Ft^2. 3x/2 = (3*100)/2 = 150 Ft^2

Business
If a family planned to spend $370 for food during March but only spent $344, this difference would be referred to as a:

Math
E. None of these.

Physics
Please clarify your problem, and show all units.

physics
A car moving with a velocity of 24meters per seconds,acceleration for 15seconds at a rate of 1meter per second square,calculate the final velocity of the car

math
0.6*8 = 4.8 0z of sugar. 8-4.8 = 3.2 oz of water. Sugar = 5%. %Water = 100-5 = 95. (3.2+w)/(4.8 + (w+3.2)) = 0.95 Cross multiply: 3.2+w = 4.56+0.95w+3.04 w-.95w = 4.56+3.04 0.05w = 7.6 W = 88 oz. of water added.

Algebra
See previous post.

physics
0.5g*t^2 = 40. 4.9t^2 = 40 t^2 = 8.16 t = 2.86 s.

Physics
a = (V-Vo)/t = (10-0)/5 = 2 m/s^2.

finance
D.

physics
Ri = (102-92)/(31.9-10.3) = 0.463 Ohms, internal resistance. E = 102 + 10.3*0.463 = 107 Volts. Or E == 92 + 31.9*0.463 = 107 Volts.

math
Cost = 80*3.50 = $280. 0.9*80 = 72 Sold. 72*P = 1.6*280 P = $6.22 = Selling price per dinner.

algebra
(x^2z^5)/(x^6z^4) = X^-4*Z = Z/X^4.

Math
Incomplete.

Science
P1*V1 = P2*V2 V2 = (P1/P2) * V1.

physics
See Related Questions: Sat,6-1-13,10:49 Am.

physics
Correction: Dc = 0.7g/cm^3.

physics
Vb = 0.7 * 20^3 = 5600 cm^3. = Vol. below surface. Vb = (Dc/Dw) * Vc. = 5600 (Dc/1) * 20^3 = 5600 Dc = 5600/20^3 = g/0.7 cm^3 = Density of the cube of wood. 1. Mass of cube = 20^3cm^3 * 0.7g/cm^3= 5600 Grams. = 5.6 kg. To totally submerge the block, its' density must be in...

math
Cost = 200*2.45 = $490. 0.95*200 = 190 Sold. 190*P = 1.40*490 P = $3.61 = Selling price per cake.

algebra
Chair A: (79.99/119.99 )-1 = -0.333 = -33.3%. The negative sign means "down". Chair B: (89.99/149.99)-1 = -0.400 = -40%. Mat = 0.85*29 = $24.65 Leather protection = $19.95 Total Cost = (89.99+24.65+19.95)*1.063= $143.07.

algebra
Chair A: (79.99/119.99 )-1 = -0.333 = -33.3%. The negative sign means "down". Chair B: (89.99/149.99)-1 = -0.400 = -40%. Mat = 0.85*29 = $24.65 Leather protection = $19.95

Physics
Incomplete.

math
C1 = 2*8.99/3 = $5.99 each with markdown C2 = 8.99 Each, Without markdown. (5.99/8.99)-1 = -0.3337 = -33.4% Or 33.4% Markdown. The negative sign means markdown.

Math
1. 7x = 58-142 = -84 X = -12. 2. 5x = -44-96 = -140 X = -28. 3. -26 = -7x+8x-16 -26 = x-16 x = 16-26 = -10 4. Similar to #3. 5. Similar to #1. 6.

Math
1. x+9 = 11 X = 11-9 = 2. The remaining problems are similar.

math
See 8:53pm post.

Finance
P = (Po*r*t)/(1-(1+r)^-t) Po = 125000-25000 = $100000. r = (9%/12)/100% = 0.0075 = Monthly % rate expressed as a decimal. Po*r*t = 100000*0.0075t = 750t P = 1000t. P = 750t/(1-1.0075^-t) = 1000t Divide both sides by 750t: 1/(1-1.0075^-t) = 1.333 Cross multiply: 1.333(1-1.0075^...

alegebra
a.(42200-5100)/60 = $618.33 Per Month. b. Po = 42200-5100 = Amount Financed. P = (Po*r*t)/(1-(1+r)^-t) r = (2.5%/12)/100% = 0.002083 = Monthly % rate expressed as a decimal. t = 60 months. Plug the above values into the given Eq and get P = $39,505.80. Monthly = P/60.

alegebra
a.(42200-5100)/60 = $618.33 Per Month. b. Po = 42200-5100 = Amount Financed. P = (Po*r*t)/(1-(1+r)^-t) r = (2.5%/12)/100% = 0.002083 = Monthly % rate expressed as a decimal. t = 60 months. Plug the above values into the given Eq and get P = $39,505.80. Monthly = P/60.

alegebra
a.(42200-5100)/60 = $618.33 Per Month. b. Po = 42200-5100 = Amount Financed. P = (Po*r*t)/(1-(1+r)^-t) r = (2.5%/12)/100% = 0.002083 = Monthly % rate expressed as a decimal. t = 60 months. Plug the above values into the given Eq and get P = $39,505.80. Monthly = P/60.

maths
Total = $X. Oldest = $2x/7. 2nd Oldest = 3/5 * 5x/7 = $3x/7. 3rd = $x/7 = $120. 4th = $x/7 = $120. x/7 = 120 X = $840.

math
a. In the given Eq, replace X with 3 and solve. Multiply the results by 100. b. Same procedure as "a".

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