Saturday
October 22, 2016

# Posts by Henry

Total # Posts: 12,185

5.29 + (2/3)*3.59 + (4/3)*4.79 = \$14.07, Yes. 28.50-(2*3.59)-1.34 = 19.98 = Cost of 4 pks. of glass beads. 19.98/4 = \$5.00 = Cost of 1 pk. of glass beads.
March 1, 2016

Maths
1. W/100 = 8/5, 5W = 800, W = 160g of wheat. 160 + 100 = 260 Grams of muesli. 2. 84/R = 7/3, 7R = 252, R = 36g of raisins. 84 + 36 = 120 grams.
March 1, 2016

Math
Did you mean? 12a + 15p = 100.
March 1, 2016

Math
Suzanne: X min. Jim: (x+30)min. X = 1/3 * 60min = 20 min. x+30 = 20 + 30 = 50 min.
March 1, 2016

Banking Finance
Higher.
March 1, 2016

Algebra
P = Po(1+r)^n. Po = \$3500, r = (6.75%/12)/100% = 0.005625 = Monthly % rate expressed as a decimal. n = 1Comp./mo. * 6mo = 6 Compounding periods. P = ?.
February 29, 2016

Algebra
P = Po(1+r)^n. Po = \$500, r = (4%/4)/100% = 0.01 = Quarterly % rate expressed as a deci8mal. n = 4Comp./yr. * 6yrs = 24 Compounding periods. P = ?.
February 29, 2016

Algebra
P = Po(1+r)^n. n = 1Comp./yr. * 5yrs = 5 Compounding periods. P = 4000(1.06)^5 =
February 29, 2016

Math
P = Po(1+r)^n. Po = \$850, r = Quarterly % rate expressed as a decimal. n = 4Comp./yr. * 10yrs. = 40 Compounding periods. P = 850(1+r)^40 = 1100, (1+r)^40 = 1100/850 = 1.294, Raise both sides to the 1/40 power: 1+r = 1.294^(1/40) = 1.00647, r = 1.00647 - 1 = 0.00647 = Quarterly...
February 29, 2016

math
P = Po(1+r)^n. r = Quarterly % rate expressed as a decimal. n = 4Comp./yr. * 2yrs = 8 Compounding periods. P = 3800*(1+r)^8 = 4300, (1+r)^8 = 4300/3800 = 1.132, 8*Log(1+r) = Log1.132, Log(1+r) = Log1.132/8 = 0.00673, 1+r = 10^(0.00673), r = 10^(0.00673) - 1 = 0.0156, APR = 4...
February 29, 2016

math
P = Po(1+r)^n. r = (2%/2)/100% = 0.01 = Semiannual % rate expressed as a decimal. n = 2Comp./yr. * 2yrs = 4 Compounding peri0ds. P = Po*(1.01)^4 = 12,500. Po = ?.
February 29, 2016

math
See previous post: Mon, 2-29-16, 2:12 AM.
February 29, 2016

math
P = Po(1+r)^n. r = (10%/2)/100% = 0.05 = Semiannual % rate expressed as a decimal. n = 2Comp./yr. * 10yrs = 20 Compounding periods. P = 100,000(1.05)^20 = \$265,329.77. Repeat the above procedure for 15% and 20%.
February 29, 2016

math
Cost = 60 + 11.05*11 = \$181.55 P = Po + Po*r*t = 181.55, 170 + 170*r*(11/12) = 181.55, 170 + 155.83r = 181.55, 155.83r = 11.55, r = 0.047 = 4.7%, APR.
February 29, 2016

Algebra 2
49^3x = 343^(x+1), 3x*Log49 = (x+1)*Log343, Divide both sides by Log49: 3x = (x+1)*Log343/Log49, 3x = 1.5*(x+1), 3x = 1.5x + 1.5, 3x-1.5x = 1.5, X = 1. So the 2x in your Eq should be x.
February 23, 2016

Algebra 2
49^3x = 343^(2x+1). 3x*Log49 = (2x+1)*Log343, Divide both sides by the Log of 49: 3x = (2x+1)*Log343/Log49, 3x = 1.5(2x+1), 3x = 3x+1.5, 3x-3x = 1.5. No solution? Please make sure the problem is copied correctly.
February 23, 2016

Calculus
The rate at which water flows into a tank, in gallons per hour, is given by a differentiable function R of time t. The table below gives the rate as measured at various times in an 8-hour time period. t---------0-----2------3-------7----8 (hours) R(t)--1.95---2.5---2.8----4.00...
February 23, 2016

Math
All angles are measured CCW from +x-axis. Vr = 55mi/h[55o] + 550mi/h[25o] = 31.5+45.1i + 498+232i = 530 + 277i = 598mi/h[27.6o]
February 23, 2016

Calculus
Use the graph of f(t) = 2t + 3 on the interval [-3, 6] to write the function F(x), where F(x)= ∫f(t) dt where a=3 b=x. F(x) = 2x^2 + 6x F(x) = 2x + 3 F(x) = x^2 + 3x + 54 F(x) = x^2 + 3x - 18 Honestly have no idea where to start. Do i take the derivative of that or what?
February 23, 2016

MATH
Both ordered pairs at D satisfy the Eq .
February 23, 2016

Math
9 min. = 0.15h, 22.5 min = 0.375h. d = (Va+Vs)*t = 1.5 km. (Va+Vs) * 0.15 = 1.5. Eq1: Va + Vs = 10. (Va-Vs)*0.375 = 1.5. Eq2: Va - Vs = 4. Add the two Eqs: Va + Vs = 10. Va - Vs = 4. Sum: 2Va = 14, Va = 7 km/h. In Eq1, replace Va with 7: 7 + Vs = 10 km/h, Vs = 3 km/h. Va = ...
February 22, 2016

Science
All angles are measured CCW from +x-axis. D = 118km[345o] + 118[125o] = 114-30.5i + -67.7+96.7i = 46.3 + 66.2i = 80.8km[55o].
February 22, 2016

MAth
P = Po + Po*r*t = \$5,040. 4500 + 4500*0.06*t = 5040. t = ?.
February 21, 2016

Calculus
Yes and b are the lower and upper and I plugged in my value of 1 and got 2.59 but that's not one of my answers. My options are 12 6 4 1/9
February 21, 2016

Calculus
I don't know because thats what the question says. Thanks
February 21, 2016

Calculus
How would I set this up in my calculator? Let F(x)=∫ ln(t^2) dt where a= 1 and b=3x . Use your calculator to find F"(1). I set it up and I got way the wrong answer. I got 2ln(1)=0
February 21, 2016

Calculus
Pumping stations deliver gasoline at the rate modeled by the function D, given by D(t)= 6t/(1+2t) with t measure in hours and and R(t) measured in gallons per hour. How much oil will the pumping stations deliver during the 3-hour period from t = 0 to t = 3? Give 3 decimal ...
February 21, 2016

Calculus
A particle moves along the x-axis with velocity v(t) = sin(2t), with t measured in seconds and v(t) measured in feet per second. Find the total distance travelled by the particle from t = 0 to t = π seconds. Do I have to take the integral of the equation like ∫ sin(...
February 21, 2016

Calculus
f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(2x)]. The table below gives selected values for f(x), g(x), f '(x), and g '(x). Find the value of h '(1). (4 points) x 1 2 3 4 5 6 f(x) 0 3 2 1 2 0 g(x) 1 3 2 6 5 0 f '(x) 3 2 1 4 0 2 g &#...
February 21, 2016

Math Fractions
Total = X pages. Monday: 1/6 * x = x/6 Pages read. x-x/6 = 6x/6 - x/6 = 5x/6 Remaining. Tuesday: 2/5 * 5x/6 = x/3 Pages read. 5x/6 - x/3 = 5x/6 - 2x/6 = 3x/6 Remaining. Wednesday: 1/3 * 3x/6 = x/6 Pages read. 3x/6 - x/6 = 2x/6 = x/3 Remaining. x/3 = 60, X = 180 Pages.
February 21, 2016

physcis
a. V = Vo + g*Tr = 0, Tr = -Vo/g = -20/-32 = 0.625 s. = Rise time. Tf = Tr = 0.625 s. = Fall time from max ht. to top of bldg. h = Vo*T + 0.5g*T^2. h = 60 Ft., Vo = 20 Ft/s, g = 32 Ft/s^2, T = ?. Tr+Tf+T = Time to reach gnd. b. V^2 = Vo^2 + 2g*h. Vo = 20 Ft/s, g = 32 Ft/s^2, h...
February 21, 2016

Calculus
Compare the rates of growth of f(x) = x + sinx and g(x) = x as x approaches infinity. f(x) grows faster than g(x) as x goes to infinity. g(x) grows faster than f(x) as x goes to infinity. f(x) and g(x) grow at the same rate as x goes to infinity. The rate of growth cannot be ...
February 20, 2016

Calculus
Which of the following functions grows the fastest as x goes to infinity? 3^x ln(x) e^4x x^10 I put e^4x but I thought that 3^x might have been it too. I know for sure that it is not ln(x) and x^10 because those grow much slower.
February 20, 2016

Calculus
Which of the following functions grows the slowest as x goes to infinity? x^e e^x ex they all grow the same rate. I think it is c because it does not have any exponents.
February 20, 2016

Calculus
The graph of f ′(x) is continuous and decreasing with an x-intercept at x = 0. Which of the following statements is false? (4 points) The graph of f has an inflection point at x = 0. The graph of f has a relative maximum at x = 0. The graph of f is always concave down. ...
February 20, 2016

Physics
Oops!! Please disregard my first post. First Student: Xo = Cos60.34 = 0.4949 Yo = sin60.34 = 0.8690 Y = Yo + g*Tr = 0, Tr = -Yo/g = -0.8690/-9.8 = 0.0887 s. = Rise time. Tf = Tr = 0.0887 s. T = Tr+Tf = 0.0887 + 0.0887 = 0.1774 s. = Time in air. Dx = Xo*T = 0.4949 * 0.1774 = 0....
February 20, 2016

Physics
Xo = Cos60.34 = 0.4949 Yo = sin60.34 = 0.8690
February 20, 2016

physics
M1*V1 + M2*V2 = M1V + M2*V. 3250*44 - 1500*17 = 3250V + 1500V. V = ? Direction: North.
February 20, 2016

electronics
Normally, the zener is connected in parallel with the load; it tends to maintain a constant voltage across the load. The zener is protected by a series resistor through which the zener and load current flows. If the load is removed, all of the current flows through the zener ...
February 20, 2016

electronics
1. The voltage dropped across the diodes might not be equal or the voltages from the center-tapped transformer might not be equal. Therefore, you could have a defective transformer or diode. 2.In cases where there are large variations in the input voltage and the load, a zener...
February 20, 2016

Math
The errors in your problem makes it difficult to understand.
February 20, 2016

Algebra
(T1+T2+T3)/3 = 19, T1+T2+T3 = 3*19 = 57. (57+T4)/4 = 21, T4 = 27 Degrees.
February 20, 2016

Physical Science
F = M*a = 100,000-82,000 = 18000, 30,000*a = 18000, a = 0.6 m/s^2.
February 19, 2016

Math
February 19, 2016

Physics
Energy = 0.5C*V^2 = 0.5*14.1*45^2 = 14,276 uJ. = 0.01428 J. Energy = 0.5*14.1*V^2 = 0.001428, V^2 = 2.03*10^-4, Vc = 1.425 Volts when 90% of it's energy is lost. 45/e^x = 1.425, e^x = 31.6, X = 3.45 = t/RC = t/1.13, 1.13*3.45 = 3.90 mS. = 3.90*10^-3 s. = Time to loose 90% ...
February 18, 2016

Physics
T = R*C = 0.08k * 14.1uF = 1.13 Milliseconds. a. 45/e^x = 4.5, e^x = 45/4.5 = 10, X = 2.303 = t/T = t/1.13, t = 1.13 * 2.303 = 2.60 mS = 2.6*10^-3 s. b. i = v/R = 4.5/80 = 0.056 Amps.
February 18, 2016

Physics
T1 = 460.8N.[68.9o] N. of W. a. -T1*Cos68.9 = -T2*Cos33.8, -T2 = -T1*Cos68.9/Cos33.8, T2 = 0.433T1 = 0.433*460.8 = 199.6 N.[33.8o]. b. Y = 460*sin68.9 + 199.6*sin33.8 = 540.2 N. M*g = 540.2, M = 540.2/9.8 = 55.12 kg.
February 18, 2016

Math/Finance
Assuming simple interest. P = Po + Po*r*t = 4000. 2000 + 2000*r*2 = 4000. r = APR expressed as a decimal.
February 18, 2016

Physics
d = 27.8 * 20 = 556 m. Head start. 0.5a*t^2 = 556 + 27.8t. 1.5t^2 = 556 + 27.8t. 1.5t^2 - 27.8t - 556 = 0. t = Time required for B to catchup. 0.5a*t^2 = Distance at which B catches up.
February 18, 2016

Physics
a. db = 10*Log(I/Io) = 130. 10*Log(I/10^-12) = 130. Log(I/10^-12) = 13. I/10^-12 = 10^13. I = 10 W/m^2. b. db = 10*Log(20/10^-12) = 133. Doubling the sound intensity increases the sound level by only 3 db.
February 17, 2016

physics
Incomplete.
February 17, 2016

SCIENCE
Incomplete.
February 16, 2016

Math
I chose b also.
February 16, 2016

Math
1. Correct. 2. Correct.
February 16, 2016

Basic electricity
The given units are incorrect.
February 16, 2016

science
20 minutes per hour makes no sense. So let's assume: Vo = 20m/s[53o]. Xo = 20*Cos53 = 12.0 m/s. Yo = 20*sin53 = 16.0 m/s. a. Y = Yo + g*Tr = 0, 16 - 9.8*Tr = 0, -9.8Tr = -16, Tr = 1.63 s. = Rise time. Tf = Tr = 1.63 s. = Fall time. T = Tr+Tf = 1.63 + 1.63 = 3.27 s. = Time ...
February 16, 2016

MATH HELP
February 15, 2016

Math College Algebra (urgent before 2hours)
The zero of a function is the value of X when Y or F(x) = 0. In other words it is the solution to the function. Example: Y = 2x + 4 = 0, 2x = -4, X = -2. So x = -2 when y = 0: (-2,0). 2. g(y) = y^2-3y+2 = 0, C = 2 = (-1)*(-2), Sum = B = -3. (y-1)(y-2) = 0, y-1 = 0, Y = 1, y-2...
February 15, 2016

Science
10o W. of N. = 100o CCW. 10o E. of N. = 80o CCW. Fr = 1.8*10^6[100o] + 1.8*10^6[80o]=-3.126*10^5+1.773*10^5i + 3.126^10^5+1.773*10^5i = 3.546*10^5i = 3.546*10^5[90o] = 3.546*10^5N., Due North. = Resultant force. Work = Fr*d = 3.546*10^5 * 500 =
February 15, 2016

science
F1 = 15N[0o], F2 = 20N[135o]. F1+F2 = 15 + -14.1+14.1i = 0.9 + 14.1i = 14.2 N.[86.4o] = 0.89 + 14.18i F3 must be equal to F1+F2 in magnitude and 180o out of phase: F3 = 14.2N[86.4+180] = 14.2[266.4o].= 14.2[86.4o] S. of W. = -0.89 - 14.18i
February 14, 2016

Physics
a. Work = Change in kinetic energy: Work = 0.5M*V^2-0.5M*Vo^2, Vo = 0, Work = 0.5M*V^2 = 0.5*845*25^2 = 264,063 J. Po = W/t = 264063/60 = 4401 J/s. = 4401 Watts = Power out. Pi = 4401/0.95 = 4633 Watts = Power in. Pi = 12*I = 4633, I = 4633/12 = 386 Amps.
February 14, 2016

Maths
r = 35/4 = 8 3/4% = 8.75% = 0.0875. I = Po*r*t = 3000*(0.0875/12)*14 = 90.0875*
February 14, 2016

Physics
1. V^2 = Vo^2 + 2g*h. Vo = 0, g = 9.8 m/s^2, h = 80 m, V = ?. 2. 0.5g*t^2 = 80. g = 9.8 m/s^2, t = ?.
February 13, 2016

Physics
Wc = M*g = 35*9.8 = 343 N. Fp = 343*sin26 = 150.4 N. = Force parallel to the incline. Fn = 343*Cos26 = 308.3 N. = Normal. Fp-Fk = M*a. 150.4-0.33*308.3 = 35*a. 35a = 48.66. a = 1.39 m/s^2. V = Vo + a*t = 0 + 1.39*2.5 = 3.48 m/s.
February 13, 2016

physics
V^2 = Vo^2 + 2g*h, V = 0, Vo = 5m/s, g = -10m/s^2, h = ?.
February 13, 2016

physics
177 + 0.00506(T-28.7)177 = 116. 177 + 0.8956(T-28.7) = 116. 177 + 0.8956T-25.7 = 116. 0.8956T + 151.3 = 116. 0.8956T = 116-151.3 = -35.3. T = -39.4oC.
February 13, 2016

physics
F = M*a, F = 37.5 N, a = 2.80 m/s^2, M = ?.
February 13, 2016

Cal 2
The region bounded by y=3/(1+x^2), y=0, x=0 and x=3 is rotated about the line x=3. Using cylindrical shells, set up an integral for the volume of the resulting solid. The limits of integration are:
February 12, 2016

Biology
How are the following terms related to the process of transcription and one another? Eukaryotes, Prokaryotes, membrane-bound nucleus, introns, exons, precursor RNA (pre-mRNA), mature RNA, heterochromatin, euchromatin, and structural gene.
February 12, 2016

geometry
Or 7.5/7 = x/18, X = ?.
February 11, 2016

physics
Vector V1: Vx = -6.5 units. Vy = 0. Vector V2: V = 8.3[60o] Vx = 8.3*Cos60 = Vy = 8.3in60 = V1 + V2 = -6.5 + 8.3[60] = -6.5 + 4.15+7.19i = -2.35 + 7.19i = 7.56[71.9o] N. of W. = 108o CCW
February 11, 2016

physics
Do you mean constant velocity? If so, d = V*t, t = d/V.
February 11, 2016

physical science
d = 0.5a*t^2. d = 10 m, t = 45 s, a = ?.
February 10, 2016

mathematics
David: X years old. John: x+4 years old. Joe: x-2 years old. x + x+4 + x-2 = 41. Solve for x and add 8 years to John's age.
February 10, 2016

Pysics
D = -400 + 200[135o] + 100i = -400 - 141.4+141.4i + 100i = -541.4 + 241.4i = 593 km[24o] N. of W.
February 10, 2016

Science
1. V = Vo + a*t. V = 3.2 m/s, Vo = 1.2 m/s, t = 2.5 s, a = ?. 2. V = Vo + a*t. V = 34 m/s, Vo = 0, t = 2.5 s, a = ?. d = 0.5a*t^2. 3. r = 30m/4.2s. = 4. d = r*t, t = ?.
February 10, 2016

Math
The simplification process starts inside the expression: ((3x)^4/(6x)^3)^2 = (81x^4/216x^3)^2 = (3x/8)^2 = 9x^2/64.
February 9, 2016

Math
Y = 3x. 3 = The number of wheels per tricycle. X = The number of tricycles. Y = The total number of wheels to be ordered.
February 9, 2016

math
15, 5, 3, 0.8, -5.
February 9, 2016

Math
Po*e^(rt) = 2Po. Divide both sides by Po: e^rt = 2. rt = 0.08t. e^0.08t = 2. 0.08t*Log e = Log 2. 0.08t = Log2/Log e = 0.693 t = 8.7 yrs.
February 9, 2016

math
a. Tan 24 = h/500, h = ?. b. Tan 27 = (h+L)/500. L = Length of flag = ? h = Ht. of bldg. calculated in part a.
February 9, 2016

physics
See previous post: Mon, 2-8-16, 7:33 PM.
February 9, 2016

science
30kW = 30 kJ/s. Work = 30kJ/s * 15s = 450 kJ.
February 9, 2016

Calculus 2
Sketch the region in the first quadrant enclosed by y=7/x, y=2x, and y=x/2. Decide whether to integrate with respect to x or y. Then find the area of the region.
February 9, 2016

physics
a. Vr = -100i + 70km[330o] = -100i + 60.6-35i = 60.6 - 135i = 148km[65.8o] S. of E = 24.2o E. of S. = Resultant velocity of the goose. Do you mean 20o W. of S.? If so, Direction = 24.2 + 20 = 44.2o W. of S. b. d = V*t = 1000, t = 1000/V = 1000/148 = 6.76 h.
February 8, 2016

SIMPLE INTEREST
I = Po*r*t = 5000*0.04*2 = \$400. (25/4)% = 6.25%. I = 5000*0.0625*2 = \$625. Gain = (625-400)/2yrs. = \$112.50 per year.
February 8, 2016

SIMPLE INTEREST
I = Po*r*t = 0.125Po. Po*0.1*t = 0.125Po. t = 1.25 yrs. = 15 Months.
February 8, 2016

SIMPLE INTEREST
I = Po*r*t = 1344-1200. Po = 1200, r = 0.06, t = ?.
February 8, 2016

SIMPLE INTEREST
I = Po*r*t = 1770. r = 0.08 t = (15/2)yrs. = 7.5 yrs. Po = ?.
February 8, 2016

SIMPLE INTEREST
February 8, 2016

science
Sketch: From a point, draw 2 arrows pointing upward and one arrow pointing downward.
February 8, 2016

science
Fr = 5.3 + 2.2 - 10.7 = -3.2 N. = 3.2 N. downward.
February 8, 2016

Engineering
Mass = 0.00072kg/cm^3 * 37854cm^3/gal * 5gal. = 136.3 kg.
February 7, 2016

physics
h = V*t + 0.5g*t^2 = 2 m. V*0.1 + 4.9*0.1^2 = 2. 0.1V = 2-0.049 = 1.95. V = 19.5 m/s at top of the window. V^2 = Vo^2 + 2g*h. V = 19.5 m/s, Vo = 0, g = 9.8 m/s^2, h = ?.
February 7, 2016

Finance
P = Po(1+r)^n. P = \$16,860. r = 5.75%/100 = 0.0575 n = 1Comp./yr. * 6yrs. = 6 Compounding periods. Po = ?.
February 7, 2016

science
a. h = 0.5g*t^2. h = 20 m., g = 9.8 m/s^2. t = ?. b. d = 10m/s * t. t = Value calculated in part "a".
February 7, 2016

physics
a. V^2 = Vo^2 + 2g*h = 0. Vo^2 = -2g*h = -(-19.6)*0.18 = 3.53, Vo = 1.88 m/s. b. KE = 0.5M*Vo^2 = 0.5*0.54*10^-6*1.88^2 = 9.54*10^-7 Joules.
February 7, 2016

Physics
Xo = 2.9 m/s. Tan 43.6 = Y/Xo = Y/2.9. Y = 2.9*Tan 43.6 = 2.76 m/s. V^2 = Vo^2 + 2g*d = 2.76^2. 0 + 19.6d = 7.63, d = 0.389 m. h = 1.14 - 0.389 = 0.751 m. Above the floor.
February 6, 2016

physics
See previous post: Thu,2-4-16, 11:20 AM.
February 5, 2016

Physics
Oops! The name is Henry.
February 4, 2016