Sunday
April 19, 2015

Posts by steve


Total # Posts: 30,637

physics
how long does it take to fall? 4.9t^2 = 310 so, its downward speed is v = 9.8t
March 25, 2015

algebra
y >= 4x-5 For inequalities, the solution is a whole set of numbers, not just one. Plot the line y = 4x-5 Your inequality as as its solution everywhere in the whole x-y plane which is above that line, since that is where y is greater than the values lying on the line. The ...
March 25, 2015

math
since 72° is 1/5 of 360°, 3 slices is 1/5 of the pie. That help? The real question is, how the heck do you cut a pie into an odd number of equal slices?
March 25, 2015

physics
F = ma what's the trouble? Forget your Pythagorean Theorem?
March 25, 2015

math
since the concentrate is 100% juice, and the water is 0% juice, we have 100x + 0(12-x) = 15(12) x = 1.8
March 25, 2015

math
.36x + .50y = .37(100) Your language should read One equation in a system for solving this problem is x+y=100. What is the other equation? Since you gave no choices...
March 25, 2015

algebra
man! what a lot of words! Why not just list the points on the graph? (4,-4),(3,-3),(5,-3) Right there we see the vertex is at (4,-4), so y = a(x-4)^2 - 4 Now we have points (1,5),(7,5) 5 = a(-3)^2 - 4 = 9a-4 a = 1 so, y = (x-4)^2 - 4
March 25, 2015

Math
x/2 - 1 = (x-1)/3 x = 4 half of 4 is 2 yellows to start with less 1, leaves 1 yellow of 3 birds left
March 25, 2015

math urgent
recall the projection of b on a: p_a(b) = a.b * a/(a.a) v1 = u1 = (1,2,0) v2 = u2 - p_v1(u2) = (1,0,0) - (1/5,2/5,0) = (4/5,-2/5,0) v3 = u3 - p(u3,v1) - p(u3,v2) = (1,0,1) - (1/5,2/5,0) - (4/5,-2/5,0) = (0,0,1) check: v1.v2 = 4/5 - 4/5 = 0 v1.v3 = 0 v2.v3 = 0 so, v1,v2,v3 are ...
March 25, 2015

Calc
If y is the number of rebates, then the revenue is r(y) = (420-16y)(1300+160y) assuming only enough sets are made to sell out, then x = 1300+160y so, the profit is revenue less cost p(y) = r(y) - c(1300+160y) = (420-16y)(1300+160y) - (91000+140(1300+160y)) = -2560y^2 + 24000y...
March 25, 2015

Math/Science
there are 1000 micros per milli so, 10mm = 10,000 µm Since 1m = 1000mm, 10mm = 0.01m You did your conversion just backwards.
March 25, 2015

Math
??? if 4.8 ml must be added, I'd say the volume is 4.8 ml What am I missing? or, How has the question been garbled? Maybe you should clarify just what the named volumes comprise.
March 25, 2015

math
Unless we know how many students belong to more than one of the groups, there is no way to know how many total students were sampled. So, any or none of the choices could be correct.
March 25, 2015

Math
A (or any of the answers!) is correct only if there are exactly 100 stamps in all. All we are told is that there are 5% more from Norway than from France. If there are 1000 stamps, then there are 50 more, not 5.
March 25, 2015

math - question stuck!
if x is the combined mass of truck and wheat, and b is the # bushels, then b-300 = (500-300)/(21.6-16.2) (x-16.2) b = 37.037x - 300 so, find x when b=600 Now, if the truck weighs t and each bushel of wheat weighs w, we have t + 300w = 16.2 t + 500w = 21.6 so, w = 0.027, and t...
March 25, 2015

Comprehensive Science
You are correct.
March 25, 2015

Alg. 2
just plug in the numbers, assuming p(t) = ae^kt p(0) = 35000, so a = 35000 p(15) = 35000 e^15k = 21000, so k = -0.034 p(t) = 35000 e^-.034t e^-.034 = 0.9665, so the population is decreasing by 3.35% per year
March 25, 2015

math proportions
1 1/6 is 1/3 of 3 1/2 so, to do the job in 1/3 the time, we need 3 times the editors, or 15 Or, since the amount of work is constant, (3 1/2)(5) = (1 1/6)(x) x = 15
March 25, 2015

Math
in feet, the dirt is (9)(16)(1/3) = 48 ft^3 so, just divide that by 27 and multiply by the cost per cubic yard of dirt.
March 25, 2015

math
You just gave an example. Go ask 20 visitors their age. That's probably not a good example, since it's fairly hard to pick truly random people. But, you might count the number of people entering or leaving in a certain time period, and tracking that value over the ...
March 25, 2015

Algebra (Math)
these are just vertical or horizontal lines. clearly, the first set of equations intersect at (2,-3) The second intersect where y=2 so, plugging that into the second equation, x+2*2=10 x = 6 and they intersect at (6,2) Having said that, and solved the systems, go ahead and ...
March 25, 2015

Math
note that each gallon of cleaning solution treats 8 pails of water. So, now how many pails, to use up 16 gallons of solution?
March 25, 2015

Pre-Calculus
(s+6)^2 = 3/4 s+6 = ±√3/2 s = -6±√3/2 This is where it helps to keep track of things s = -6 ± (√3/2) NOT s = (-6±√3)/2 so, putting it all over 2, s = (-12±√3)/2
March 25, 2015

math
take a look at the number line. 29035 is to the right of 0. -1349 is to the left of 0. so, the distance between them (the difference, in other words) is 29035 - (-1349) = 29035+1349 = 30384
March 25, 2015

Algebra
that's only about 6.5 meters on a side. So, probably not elephants, nor mice. What smallish animals do you know?
March 25, 2015

math
total change: 35 degrees total time: 7 hours so, average change is 35°/7hr = 5°/hr
March 25, 2015

math
you have difficulty adding and subtracting numbers?
March 25, 2015

PreCalculus
since the area of a circular segment is a = 1/2 r^2 (θ-sinθ) you need θ such that cos(θ/2) = x/8 so, you need to solve 1/2 * 64 (2*arccos(x/8)-sin(2*arccos(x/8))) = 64π/3 x = 2.12 inches ---------------------------------- 3.5 mi/hr = 0.058 mi/min If ...
March 24, 2015

math
42 feet
March 24, 2015

math
If the 2nd piece is x, then x+3.57 + x + x+2.97 = 15
March 24, 2015

geometry
c = 2πr, so r = C/2π v = 4/3 π r^3 = 4/3 π (C/2π)^3 = 4/3 π C^3/8π^3 = 1/6 C^3/π^2
March 24, 2015

math
how about a 7-layer pyramid, with each layer 1 block wider than the layer above? Start with just 1 block on top.
March 24, 2015

math
x+y = 90
March 24, 2015

geometry
it's a frustrum of a cone.
March 24, 2015

Solid Mensuration
recall the volume of a spherical cap, as found here: http://en.wikipedia.org/wiki/Spherical_cap Now just plug in your numbers.
March 24, 2015

Solid mensuration
just look up the formula for the volume of a spherical cap of radius r and height h. Then plug in your numbers. Hint: find the volume of the smaller cap and subtract it from the whole ball. See here: http://en.wikipedia.org/wiki/Spherical_cap
March 24, 2015

math
recall that BC-AB < AC < BC+AB
March 24, 2015

PHYSICS -urgent
horizontal is constant at 92 m/s vertical is 9.8*19.9 so, (d) is just the resultant speed s, where s^2 = h^2 + v^2
March 24, 2015

Implicit Differentiation (Please HELP)
x^2 - 4y^2 + 1292 = 0 2x - 8yy' = 0 y' = x/4y You have x and y, so y' = 1/4 the line is thus y-8 = 1/4 (x-8) see at http://www.wolframalpha.com/input/?i=plot+x%5E2+%E2%88%92+4y%5E2+%2B+192+%3D+0%2C+y+%3D+1%2F4+%28x-8%29%2B8
March 24, 2015

algebra
√18/(√18-3) recall that (a-b)(a+b) = a^2-b^2. So, multiply by the "conjugate" to get √18(√18+3) / (√18-3)(√18+3) = (18+3√18)/(18-9) = (18+3√18)/9 = (6+√18)/3 = 3+√2 (4-3√2)^2 = 4^2 - 2(4)(3√2...
March 24, 2015

Math
any two points can be joined by a single line. In this case it's y-52488 = ((-393216-52488)/(-4-3))(x-3) There are many power functions which can go through any two points.
March 24, 2015

math
which is greater 8/4 or 5/3? and what do you mean by "over" when talking about paints?
March 24, 2015

Math
original size: w(w+2) after folding, the box is (w-12)(w+2-12)6 = 4050 w = 37 so, the original piece was 37x39
March 24, 2015

Math Check
How about -10x + 2y = 48 -5x - 3/2 y = -9 or, even better, -5x + y = 24 -10x - 3y = -18 or, getting rid of all the useless minus signs, 5x - y = -24 10x + 3y = 18
March 24, 2015

math
so, no effort on your part, eh?
March 24, 2015

math
a(x) domain: same as that of f range: [0,225) since (-15,2] = (-15,0]U[0,2] square those and you have [0,225)U[0,4] What do you get for b & c?
March 24, 2015

Math Help!!!
That's better.
March 24, 2015

Math Help!!!
#4: try again the others look good.
March 24, 2015

Math
Start with the whole amount, then subtract what was used. The result is what was left: 1 - 1/4 - x = 3/8 x = 3/8 for the cookies why did you use 3/8 - 1/4? 3/8 is how much she had left, and 1/4 was for the cake. How does that tell you anything about the cookies?
March 24, 2015

Math
Looks more like A to me. You noted the constant ratio, but that is a mark of a GP, not an AP. If you truly have no idea, you clearly need to review what it means to be a geometric or arithmetic sequence. It's annoying when someone comes asking for help, saying that they ...
March 24, 2015

Math, Algebra
You did not come up with an equation. You have an expression, and it does not provide a value for x. d = s + 3/8 s = f - 3/8 so, d = f - 3/8 + 3/8 = f the dog weighs the same as the ferret, or 1/2 lb must all be babies, eh? Or maybe small plush toys.
March 24, 2015

Math
well, 987*7 = 6909 = 11*628 + 1 not sure what you mean by inverse, but x=7 is a solution to the equation.
March 24, 2015

Physics
2.2 m/s is an angular speed of 2.2/35π = 0.02 rad/s so, its angular acceleration is (.02rad/s)/(15s) = 0.00133 rad/s^2 I expect you can find the other one.
March 24, 2015

maths
dice is already plural. No such word as dices. well, the chance of any one die's being even or odd is 1/2 So, the chance of all three being even or all odd is (1/2)^3, since the events are independent.
March 24, 2015

math
if x of 2%, then the rest (120-x) is 21%. So, .02x + .21(120-x) = .07*120
March 24, 2015

Math, Algebra
The question was to find the length of A and B together. a+b = 2b+b = 3b = 3(c + 1/12) = 3(1/6 + 1/12) = 3(3/12) = 3(1/4) = 3/4
March 24, 2015

geometry
if triangle has side t and square has side s, then 3t = 4s t/s = 4/3
March 24, 2015

stuff
Sometimes it takes a while for someone to get around to a question. If you open one of your questions, then click on the link for your name, it will show all your posts, even ones that have been pushed down the list. Then you can check to see what has or has not been attended to.
March 24, 2015

Math, Algebra
x(1 - 1/4)(2/5)*6 = 4320 x = 2400
March 24, 2015

7th grade math
Looks good to me
March 24, 2015

physics
since h(t) = vt - 4.9t^2, the vertex is at t = v/9.8 so, v(v/9.8) - 4.9(v/9.8)^2 = 50 v = 31.305 m/s Now you can find how long it was in the air. Namely, twice as long as it took to reach its max height.
March 24, 2015

Math
x - x/2 - (x/2)(3/4) - 3/4 = 0 x = 6 so, he spent 3 hours on the drums.
March 24, 2015

math
y = -5/3 x - 7/3 5(x1) = -7 So, now you have m,b and x1
March 24, 2015

math
Ax + By + C = 0 so, the slope is -A/B take it from there...
March 24, 2015

calculus
as always, maximum area is when the fence is divided equally among lengths and widths. So, since I cannot see the diagram, but it implies the pens are in a row, we have six pens of length x and width y. 2x+7y = 540 area = 6xy = 6(540-7y)/2 * y = 1620y - 21y^2 This is a ...
March 23, 2015

English
Yes he is. My wife and I were granted permanent legal custody of him 3 years ago. He was abused and has been diagnosed with PTSD and a social disorder. I'm his learning coach since my wife still works and I check his homework.
March 23, 2015

English
thank you
March 23, 2015

English
One last question for the night. Then is it likely that thou wilt undertake/A thing like like death to chide away this shame. a- simile b- metaphor c- personification my answer is personification
March 23, 2015

Geometry
bingo
March 23, 2015

Geometry
ok. what did you get? (I know what I got) Did you try drawing a diagram?
March 23, 2015

English
Thank you all from a 68 year old Grandfather
March 23, 2015

English
Writeacher--that post this morning wasn't me. I did see your response though and it should be failure.
March 23, 2015

English
Complete the analogy, distraught is to affliction as sullen is to--- a- failure b- victory c-happiness I don't think any of them are right. I think it should be unhappiness so I'm stuck.
March 23, 2015

English
It wasn't one of the choices though. a- simile b- metaphor c- personification
March 23, 2015

English
Would it be personification then?
March 23, 2015

English
The tears have got small victory by that/ For it was, bad enough before their spite. I'm sorry I didn't list the last part.
March 23, 2015

English
poor soul they face is much abused with tears is what kind of figurative language my answer is metaphor
March 23, 2015

Math
5/9 x + 3/4 * 4/9 x + 7 = x x = 63
March 23, 2015

Geometry 2
The pentagon can be divided into 5 isosceles triangles, each with vertex angle 72 degrees. That should help you calculate the altitude (apothem). Then you're home free, right?
March 23, 2015

Calculus
the average slope is the slope of the line joining the two endpoints on the graph. Once you find that, the MVT says there is a c in the interval such that f'(c) = that slope. So, find that slope (call it m) and then just solve f'(c) = 10c+5 = m
March 23, 2015

math
if the squares have side s, then 6s = 60 and each square is 10x10. . . .
March 23, 2015

Math
1/3 R1 is [1 2/3 | 8/3] -5R1 + R2 is [-5 -10/3 | -40/3] +[5 2 | 12] = [0 -4/3 | 8/3] If things are garbled, fix 'em.
March 23, 2015

Functions
see the related questions below.
March 23, 2015

Algebra
(b^ 1/6)^3 = b^(1/6 * 3) = b^(1/2) b^(1/2) * b^(1/6) = b^(1/2 + 1/6) = b^(2/3) Do the others in like wise. Just do them step by step, multiplying or adding exponents.
March 23, 2015

math
well, the diagonal has length 8√2 the altitude of the triangular region is thus half that, or 4√2 So, the trapezoid has bases 8√2 and 4√2 and altitude 2√2 The area is thus 6√2 * 2√2 = 24
March 23, 2015

pre algebra
collect terms with the same powers: (2-6)x^2 + (-4+3)x + (8+7) -4x^2 - x + 15
March 23, 2015

Math
1.2x = 50.4
March 23, 2015

geometry
No idea what your garbled text means, but if the image is 10" tall, and must fit into a 6" frame, then it must be reduced by at least a factor of 6/10. Same for the width. So, since 8 * 6/10 = 4.8, the reduced picture needs to be 4.8 x 6
March 23, 2015

math
f(0) = 5 f(2) = 5 so, that is ok. f(x) is continuous since f is a polynomial, it is differentiable So, we want c such that f'(c) = 0 6c-6 = 0 c = 1 ok, since 1 is in [0,2].
March 23, 2015

Math
-2x^2y (-8x^3y^3 - 3x + 1 + 12y^3)
March 23, 2015

English
Distraught is to affliction as sullen is to a-failure b- victory c- happiness my answer is c
March 23, 2015

math
in this kind of stuff, always draw a triangle and label the sides. If you do that, you can easily see that cot x = 3/4 Or, use your basic trig identities sec^2 = 1+tan^2, so 1+tan^2 = 25/9 tan = 4/3 so, cot = 3/4 I assume you're working in QI, not QIV.
March 23, 2015

maboa
all useless, in my opinion.
March 23, 2015

mathematical physics
I'm sure you have this stuff already, http://en.wikipedia.org/wiki/Del_in_cylindrical_and_spherical_coordinates so why not just plug in your function?
March 23, 2015

Physics
(3.1/4.1)*240*(3.1/2) = (1/4.1)*240*(1.1/2) + 445x x = 0.56
March 23, 2015

Calculus
You know the growth function will look like g(t) = a*e^(kt) So, just plug in your numbers: g(0) = a = 45 g(8) = 45e^(8k) = 65, so k = ln(65/45)/8 = 0.046 Now just figure g(15)
March 23, 2015

Algebra
well, just plug it in and see what you get: y = 4(x+2) = 4x+8 so, y increases by 8. You could also have seen this by noting that the slope is 4, meaning that every time x increases by 1, y increases by 4.
March 23, 2015

Math
well, that would be 20.00 * 1.15
March 23, 2015

Math
a little of both comes in handy. Before deciding on a plan, do a little thinking. The clock gains 10 minutes every hour, so after h hours, it has gained 10h minutes. so, after 24 hours, the clock will be 240 minutes ahead. so, what time is 12:00 + 240 minutes?
March 23, 2015

math
it's the amount of surface showing.
March 23, 2015

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