Wednesday
April 16, 2014

Posts by Henry


Total # Posts: 8,508

math
-16x^2 + 160t The max. point on the parabola is the vertex: t = Xv = -B/2A = -160/-32 5 s hmax. = Yv = -16*5^2 + 160*5 = 400 Ft. V(5,400).

Geometry
1. A = 400cm * 2cm = 800 cm^2. 2. A = (3.5^2) = 3. A = pi*r^2 = 3.14 * (9/2)^2 =

algebra1 HELP PLEASE
Let y = 0. x^2-7 = 0 x^2 = 7 X = =+-sqrt 7

algebra1 HELP PLEASE
h1(t) = 100 - 0.5*32*t^2. h1 = 100 - 16t^2 = 0 @ gnd. level. 16t^2 = 100 t^2 = 6.25 t = 2.50 s. h2(t) = 210 - 0.5*32*t^2 h2 = 210 - 16t^2 = 0 @ gnd. level. 16t^2 = 210 t^2 = 13.125 t = 3.62 s.

physics
See previous post,4:21 PM.

Finance
2. Increases with every payment and completely repays the loan with the last payment.

physics
Vo = 17m/s[25o] Xo = 17*cos25 = 15.4 m/s. Yo = 17*sin25 = 7.2 m/s. Y = Yo + g*t = 0 @ max. Ht. Tr = -Yo/ g = -7.2/-9.8 = 0.73 s. = Rise time. Tf = Tr = 0.73 s. = Fall time. D = Xo*(Tr+Tf) = 15.4 * 1.46 = 22.5 m. V=(D-12)/(Tr+Tf)=(22.5-12)/1.46=7.19m/s

physics
F = m*a V^2 = Vo^2 + 2a*d a = (V^2-Vo^2)/2d a = ((350)^2-0)/1.7 = 72,059 m/s^2 F = 0.004 * 72059 = 288 N.

physics
Please clarify your problem.

phy
1. Fn = m*a 40*cos37-Fk = 5 * 3 31.9-Fk = 15 Fk = 31.9-15 = 17 N. 3. a = Fn/m a = (250*cos37-8)/20 = 9.58 m/s^2.

math
The bar means the 2nd 89 REPEATS continuously.

physics
A = 5.0km[135o] B = 7.0km[315o] D = A+B D=(5.0*cos135+7.0*cos315)+i(5.0*sin135+ 7.0*sin315 D = (-3.54+4.95) + i(3.54-4.95) D = 1.41 - i1.41 = 2km[-45o]=2km[45o S of E]. NOTE: The cosine function was used to find the hor. components; the sine function was used to find the ver. ...

physics
A = 100m[0o] B = 200m[270o] C = 50m[3i5o] D = A+B+C D=(100+200*cos270+50*cos315+i(sin270+50*sin315) D = (100+0+35.4) + i(-200-35.4) D = 135.4 - i235.4 = 272m[-60o] = 272m [60o S. of E.].

Physics
A = 3m/s * 20s = 60m[180o]. B = 100m[270o]. C = 2m/s * 20s = 40 m[0o]. D = (A+B)-C A+B = (60*cos180+100*cos270)i(60*sin180+ 100*sin270) A+B = (-60+0) + i(0-100) A+B = -60 - i100 = -116.5[59o] A+B = 116.5[59+180] = 116.5m[239o]. D = (A+B)-C = 116.5[239] - 40 D = -60 - i100 - 40...

math 2
m1 = -A/B = 6/2 = 3. m2 = -12/-4 = 3. The Eqs have equal slopes. Therefore, they are parallel and do not intersect. So there are NO solutions.

contemporary math
P = Po(1+r)^n. P = $50,000 r = (8%/4)/100% = 0.02 = Quarterly % rate expressed as a decimal. n = 4comp./yr * 5.5yrs. = 22 Compounding periods. Plug the above values into the given Eq and solve for Po.

Math
Substitution.

Math
Substitution.

math
See previous post: Mon,7-1-13,10:49 PM.

math
Correction: A =(8/4)^2 * 18 = 72 Ft^2 = Area of the base. V = A*h = 72 * 8 = 576 Ft^3. OR V = (8/4)^3 * 72Ft^3 = 576 Ft^3.

math
18Ft^2*h1 = 72Ft^3 h1 = 72Ft^3/18Ft^2 = 4 Ft. A = (8Ft/4Ft) * 18Ft^2 = 36 Ft^2 = Area of the base. V = A*h = 36Ft^2 * 8Ft = 288 Ft^3.

Gen. physics
V^2 = Vo^2 + 2ad = 0 a = -Vo^2/2d = -(6.4)^2/29 = -1.41 m/s^2

physics
a. V = Vo + g*t = 17 m/s. Vo = 17-g*t = 17-(-9.8*2.2) = 38.56 m/s. b. V = 38.56 -9.8*4.4 = -4.56 m/s. The negative sign means the rock is on its' way down.

gen physics
See Related Questions: Thu,6-27-13,6:00am.

gen physics
A = 71[180o]. B = 71[270o]. a. A+B=(71*cos180+71*cos270)+i(71*sin180+71*sin270) A+B = (-71+0) + i(0-71) A+B = -71 - i71 = -100.4]45o] or 100.4[45o+180o] = 100.4[225o]. Since the resultant is in Q3, 45o is the reference angle. b. A-B=(71*cos180-71*cos270)-i(71sin180-71sin270) A...

Algebra
x(3y) = y(3x) = 3(xy) = 3*y*x.

49PM.ath
See Related Questions: Mon,7-1-13,10:

math
P = Po(1+r)^n. Po = $42,000 r = 11%/100% = 0.11 n = 1comp./yr. * 19yrs = 19 Compounding periods. Plug the above values into the given Eq and solve for P.

algebra 1 NEED NOW!!! PLEASE HELPPP
Since the parabola opens downward, the vertex is the max. point on the curve. Y = -12x^2 + 48x 1. h = Xv = -B/2A = -48/-24 = 2 Seconds. 2. k = Yv = -12*2^2 + 48*2 = 48 Ft. V(x,y)= (2,48). 3. Tr = Tf = 2 s. T = 2 + 2 = 4 s. Tr = Rise time. Tf = Fall time.

business math
See Mon,7-1-13,10:49PM post.

Mathematics
What is 72ten?

finance
D = 10000-0.15*10000 = $8500.

Physics
F = m*a a = V-Vo)/t = (34.4-0)/42 = 0.819 m/s^2. F = 3.6*0.819 = 2.95 N.

MATH
A(-1,-2),P(x,y),B(9,3). x-(-1) = 4(9-x) x+1 = 36-4x 5x = 35 X = 7. y-(-2) = 4(3-y) y+2 = 12-4y 5y = 10 Y = 2. P(7,2).

Physics
V = 6.48*cos9.54 = 6.39 m/s.

Physics
See previous post.

Physics
a=(V-Vo)/t = (26.5-0)/0.55 = 48.2 m/s^2. F = m*a = 929.4 * 48.2 = 44,780 N.

Discrete Math
CORRECTION:BCD should be BCDA

Discrete Math
8 different passwords were formed: ABCD BCD CDAB DABC. DCBA CBAD BADC ADCB

math
Move the decimal 8 places to the right. 7.5*10^8 = 750,000,000

math
1. P = Po(1+r)^n. Po = $500,000. r = (6%/4)/100% = 0.015 = Quarterly % rate expressed as a decimal. n = 4comp./yr. * 5yrs. = 20 Compounding periods. Plug the above values into the given Eq. and solve for P. 2. P = Po(1+r)^n. r = APR = (8%/100% = 0.08 n = 1comp./yr. * 5yrs. = 5...

trig
X ^5 - 11 = 0 X^5 = 11 (X^5)^(1/5) = (11)^(1/5) X = 1.615.

physics
See Related Questions: Thu,6-27-13,6:ooAM.

Business Math
P = Po(1+r)^n. Po = 50000 r = (1.6%/2)/100% = 0.008 = Semi-APR. n = 2comp./yr. * 5yrs = 5yrs = 10 Compounding periods. Plug the above values into the given Eq and solve for P.

Business Math
P = Po(1+r)^n P = $27,500 Po = Initial investment. r = (6%/12)/100% = 0.005 = Monthly % rate expressed as a decimal. n = 12comp/yr. * 3yrs = 36 Compounding periods. P = Po(1.005)^36 = 27500 Po = 27500/(1.005)^36 = $22,980.

Business Math
APY = The interest for 1 year divided by the initial investment: APY = (I/Po)*100%.

Business Math
CORRECTION: n = 4Comp./yr. * 1yr. = 4 Compounding periods.

Business Math
P = Po(1+r)^n. Po = $1,000,000. r = (8%/4)/100% = 0.02 = Quarterly % .rate expressed as a decimal. n 4Comp./yr. * 8trs = 32 Compounding periods. Plug the above values into the given Eq and solve for P. I = P-Po.

Business Math
P = Po(1+r)^n. Po = $7700. r = (6%/4)/100% = 0.015 = Quarterly % rate expressed as a decimal. n = 4Comp./yr. * 5yrs = 20 Compounding periods. Plug the above values into the given Eq and get: P = $10,370.78

physics
Vo = 85m/s[45o]. Xo = 85*cos45 = 60.1 m/s. Yo = 85*sin45 = 60.1 m/s. Tr = (Y-Yo)/g = (o-60.1)/-9.8 = 6.1 s. = Rise time. h = Yo*t + 0.5g*t^2 h = 60.1*6.1 - 4.9*(6.1)^2 = 184.3 m. d = Yo*t + 0.5g*t^2=184.3 + 120=304.3m 0 + 4.9t^2 = 304.3 t^2 = 62.1 Tf = 7.9 s. = Fall time. d =X...

physics
V*t = 17 m. 42.4 * t = 17 t = 0.40 s. d = 0.5g*t^2 g = 9.8m/s^2

To Mara; Re: algebra
L = 10-X. Your Eq is correct.

physics
V1*t = V2*t-37 m. 5.95t = 7.80t-37 7.8t-5.95t = 37 1.85t = 37 t = 20 s. d = 5.95 * 20 = 119 m

Science
Dw/Dl = 4/5 800/Dl = 4/5 4Dl = 4000 Dl = 1000 kg/m^3. = Density of the fluid.

maths
P1 = 1.08*65000 = 70200. (P1+P2)/2 = 66,300 (70,200+P2)/2 = 66300 70200+P2 = 132,600 P2 = 62400 Loss = 65000-62400 = 2600 %Loss = 2600/65000 = 0.04 = 4%. 2. 1kg/0.95kg = 1.0526 = 105.26 %. %Gain = 105.3% - 100% = 5.3%.

math 4th grade
See previous post.

math 4th grade
Population = 500,000km^2 * 20p/km^2 = 10,000,000 People.

Physics
Wp = m*g = 60kg * 9.8N/kg = 588 N. = Wt. of the person. Fp = 588*sin25 = 248.5 N. = Force parallel to plane. Fv = 588*cos25 = 533 N. = Force perpendicular to plane Fk = 0.450 * 533 = 240 N. = Force of kinetic friction. Fn = m*a a = Fn/m = (Fp-Fk)/m a = (248.5-240)/60 = 0.142 m...

physics
Fn = m*a = 0.1*10 = 1 N.

physics
F = m*a a = F/m = 80000/9.7 = 8247 m/s^2 V = Vo + a*t t = (V-Vo)/a = (6500-0)/ 8247 = 0.788 s.

physics
See previous post.

physics
Because the velocity at any instant depends on the time of the acceleration.

Physics
h = Vo*t + 0.5g*t^2 = 1.5 m. 0 + 4.9t^2 = 1.5 t^2 = 0.306 Tf = 0.553 s. = Fall time. D1 = V*Tf = 30m/s * 0.553s = 16.6 m. D2 = 35m/s * 0.553s = 19.4 m.

MATH
6 + 4*7/14 - 1 = 7 6 + 28/14 _ 1 = 7 6 + 2 - 1 = 7 7 = 7

conceptual science
a. V = Vo-g*t V = Vo-9.8m/s^2*1s V = Vo-9.8m/s. s. The speed decreases by 9.8 m each second. b. V = Vo + g*t V = Vo + 9.8m/s^2*1s V = Vo + 9.8m/s. The speed increases by 9.8 m each second. c. V = Vo + g*t = 0 @ max. ht. Vo + g*t = 0 Vo - 9.8t = 0 9.8t = Vo Tr = Vo/9.8 = Rise t...

physics
What is the question?

physics
V*t = 17 m. t = 17/V = 17/37.8 = 0.1852 s. d = 0.5g*t^2. g = 9.8 m/s^2.

physics
Vo = 26.5m/s[32.2o]. Xo = 26.5*cos32.2 = 22.4 m/s. Yo = 26.5*sin32.2 = 14.1 m/s Y = Yo + g*Tr = 0 @ max. ht. Tr = -Yo/g = -14.1/-9.8 = 1.44 s. = Rise time. D = Xo * Tr = 22.4m/s * 1.44s. = 32.3 m.

physics
Vo = 16.7m/s[33o]. Yo = 16.7*sin33 = 9.1 m/s. Y^2 = Yo^2 + 2g*h = 0 hmax= Yo^2/2g = -(9.1)^2/-19.6 = 4.23 m. V^2 = Vo^2 + 2g*d V^2 = 0 + 19.6*(4.23-2.6) V^2 = 19.6 * 1.625 = 31.85 V = 5.64 m/s.

physics
Correction: X = 4.15 m/s.

physics
X = Xo + a*t X = 3.2 + 1.9*0.5 = 4.15 m/s^2 Y = Yo + a*t Y = 8.1 - 6.2*0.5 = 5 m/s. a. V^2 = X^2 + Y^2 V^2 = (4.15)^2 + 5^2 = 42.2 V = 6.5 m/s. b. tan A = Y/X = 5/4.15 = 1.20482 A = 50.31o = Direction.

physics
See previous post.

physics
Vo = 12m/s[53.2o]. Xo = 12*cos 53.2 = 7.2 m/s. NOTE: The hor. component remains constant during the flight.

physics
a. V^2 = Vo^2 + 2a.d a = (V^2-Vo^2)/2d. a = (6.14-0)/26.8 = 0.229 m/s^2 b. a = 0.229*cos 32.6 = 0.193 m/s^2, c.

physics
tan A = Y/X = -558/925 = -0.60324 A = -31o D = 925/cos(-31) = 1080 m.

physics
See Related Questions: Tue,6-18-13,9:43PM.

math
translate the phrase into a mathematical expression and then evaluate it. sixtten squared divided by four cubed. The given expression in symbols is? (do not simplify. type exponential notation with positive exponents.) Evaluated, the expression is equal to? (simplify your answer)

Physics
x/0.017 = 22/1 X = 0.374 N. Work=F*d = 0.374 * 0.017=0.0064 Joules.

science
P = V*I = 2000 W. 220I = 2000 I = 9.09 Amps. The current too high for the circuit. If the circuit is properly protected, the fuse will blow or the circuit breaker will trip.

Math
I = Po*r*t = $23. 820*(r/360)*52 = 23 118.44444r = 23 r = 0.194 = 19.4 %.

math
P = Po(1+r)^n P = 8000+1261 = 9261. Po = 8000. n = 1comp./yr. * 3 yrs. = 3 Compounding periods. r = ? 8000(1+r)^3 = 9261. Divide both sides by 8000: (1+r)^3 = 1.157625. Take cube of both sides: 1+r = 1.05 r = 0.05 = 5% per yr.

math
P = Po + Po*r*t = 2600 2000 + 2000*(0.06/360)t = 2600 2000 + t/3 = 2600 t/3 = 2600-2000 = 600 t = 1800 Days. t = 1800Days / 360Days/yr. = 5 Yrs. Ordinary int. is based on 360 days/yr.

business math
C = 0.026*60000 + 0.034*(89400-60000) C = 1560 + 999.60 = $2559.60.

physics
tan A = Y/x = -4/2 = -2.0 A = -63.43o = 63.43o South of East. tan(-63.43) = d/10m d = 10*tan(-63.43) = -20 m = 20 m. South of starting point.

physics
V^2 = Vo^2 + 2g*d. Vo = 12 Ft/s. g = 32FT/s^2. d = 4.5 Ft. Plug the given values into the Eq and solve for V in Ft/s.

physics
V = Vo + a*t a = (V-Vo)/t a=(300-150)/(1/12)h=1800=1800 mi/h^2 V^2 = Vo^2 + 2a*d d = (V^2-Vo^2)/2a. d = (90000-22500)/3600 = 18.75 Miles.

trig
A + B = 90o A + 31 = 90 A = 59o. c*sin 59 = 3. c = 3/sin59 = 3.50 tan 59 = 3/b b = 3/tan 59 = 1.80

Math 116
See previous post.

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.

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