Thursday
September 3, 2015

# Posts by STEVE

Total # Posts: 33,286

math
The common denominator is 63, so you have 54/63 - 126/63 - 49/63 + 57/63 ...
July 8, 2015

maths
Not much to this one. 1/10 = 7/70 ...
July 8, 2015

maths
I'll assume you meant 1/(x+1)+1/(x+2)= 2/(x+10) Putting all over a common denominator, the numerator becomes (x+2)(x+10) + (x+1)(x+10) = 2(x+1)(x+2) 2x^2+23x+30 = 2x^2+6x+4 I expect you can take it from there, eh? Just beware spurious roots that might make any of the ...
July 8, 2015

Physics
the only equation you really need is d=vt, or t=d/v. That gives you 114t = 79t+36 35t=36 t = 36/35 That's how long it takes B to overtake A. In that time, A travels 79*36/35 = 81.26 km You can think of this another way by noting that B is traveling 35 km/hr faster than A. ...
July 8, 2015

algebra 1
-72-4x^2+8x^3-36x Geez, have you never noticed that polynomials are generally written in descending powers? Much preferred would be 8x^3-4x^2-36x-72 Using synthetic division, this is easy, or you can visit calc101.com, click on the long division button and then enter your ...
July 8, 2015

math (algebra)
If x passed, then the rest (36-x) failed. So, adding up all the grades, we have 78x + 60(36-x) = 71*36 This is just a mixture problem in other guise.
July 8, 2015

Math
6720/56 = 120 So, you have nPr = nCr * 5! That means that r=5. Review the definitions of nPr and nCr to see why this is so.
July 8, 2015

Calculus
I first thought of x^2+1, but f(-1) = 2. So, next, 2x^2+1 f(x) = x^2+1 for x in (-5,-1)U(-1,1) 3 for x = -1 2 for x > 1 I think this fits the bill.
July 8, 2015

math (algebra)
or, note that x^32-1 = (x^16+1)(x^16-1) = (x^16+1)(x^8+1)(x^8-1) ... and if you keep expanding the differences of squares, you wind up with (x-1) at the end.
July 8, 2015

Calculus
for the 2nd part, if a function is differentiable, it is continuous. Hence it has a limit at every point.
July 8, 2015

math
clearly on the nth day you win 5^n dollars. So, what's 5^11? Send me my 10% commission check, ok?
July 8, 2015

algebra
it takes t seconds to fall 125 ft, where -16t^2 = -15 Now, the velocity is just -32t. or, in one operation, -32√(15/16)
July 8, 2015

Computer Programming
odd - you know how to do multiplication. Do a division in the same way. Just copy the multiply routine, and replace * with /. Be sure to watch out for division by zero.
July 8, 2015

Computer Programming
looks pretty good so far. But your best help is your IDE, or the javac error messages. If there are no compile errors, then just run your code and see what it produces. It looks like you are getting a handle on things. Just keep poking around to find code snippets that do what...
July 8, 2015

algebra 2
you want the total area, less the pool, to be 105. So, that means that the border has width x, where (6+2x)(10+2x)-(6)(10) = 105 x = 5/2 ft or 2'6"
July 8, 2015

algebra
There are 7 octaves, plus an extra A,B,C A) Since there are 8 A keys, there are 8C5=56 ways to pick them. For the G keys, there are only 7C5 = 21 choices. For any key, consider it like this. Pick a key from the 1st octave. Now there are fewer octaves to pick the other 4 keys. ...
July 8, 2015

science
recall F=ma? m = F/a now just divide.
July 8, 2015

Maths
Good work, but you had to use a different function. Poorly set problem...
July 8, 2015

Calculus
If you got a single value for an interval, it doesn't look good for the kid. y = 4x-6arctan(x) y' = 4 - 6/(x^2+1) = (4x^2-1)/(x^2+1) y" = 12x/(1+x^2)^2 You are correct with what you got. But, what do you have when y" = 0? An inflection point. That's where...
July 7, 2015

Maths
(1+x)^(1/5) = 1^(1/5) + (1/5)/1! x + (1/5)(-4/5)/2! x^2 + (1/5)(-4/5)(-9/5)/3! x^3 = 1 + x/5 - 2x^2/25 + 6x^3/125 Using the series, we have a problem. It only converges when |x| < 1. I think what you really want to do is find (x-1)^(1/5), using x=32. Then you have x^(1/5...
July 7, 2015

Maths
if x ml of 100% alcohol are added, then you want .15(400) + 1.00x = .32(400+x)
July 7, 2015

Triginometry
Metro: 45tan56° Gammapro: 45(tan56°+tan24°) It always helps in these problems to draw a diagram. Then you can see which sides of the triangle you have, and so which trig functions to use. Of course, it also helps to review your trig functions, and study the similar...
July 7, 2015

Math
again, use tan. he adjacent leg in each case is 7.4 be sure to add 1.8 to the answers, since that's how high the observation point is.
July 7, 2015

Math
the height is just 25(tan33°+tan55°)
July 7, 2015

math
1st, plot the point (1,-3) Now, a slope of -1 means that every time x changes by +1, y changes by -1. Starting at the point (1,-3), move right 1 and down 1 to (2,-4) and plot that point. Then draw a line through the two points. And review the concept of slope...
July 7, 2015

Chemistry
well, clearly, each mole of Mg produces one mole of MgO.
July 7, 2015

math
s = j-4 j+5 = 2s Now go for it.
July 7, 2015

algebra
If Wendy's speed is w, their combined speed of approach is 2w+4 Since time = distance/speed, and they meet after 4 hours, 120/(2w+4) = 4
July 7, 2015

Math (Finite)
A: y = .60 + .02x B: y = .045x I guess you can take it from there, eh?
July 7, 2015

Algebra (Normal Distribution)
8 is 2 std below the mean 16 is 4 std above the mean P(Z>4) = .9772 P(Z>8) = .0227 P(4<Z<8) = .9772-.0228 = .9545 You can play around with this stuff at http://davidmlane.com/hyperstat/z_table.html
July 7, 2015

Maths
bounce height 1: 80 * 3/4 = 80(3/4)^1 2: 80 * 3/4 * 3/4 = 80(3/4)^2 ...
July 7, 2015

Algebra/ Pre Calc - eh?
is there a question somewhere in there? You can start off by noting that √(78.5/π) ≈ 5
July 7, 2015

Algebra/Pre Calc
If you park n cars for t hours, car 1: x = 3 + 2(t-1) others: 3/4 that amount, or 3/4 (n-1)*x So, the total amount will be f(n,t) = (3+2(t-1))(1 + (3/4)(n-1)) = (3n+1)(2t+1)/4 So, 3 cars for t hours is f(3,t) = 5/2 (2t+1) So, let's check, say, f(3,4)=45/2=\$22.50 1st car: 3...
July 7, 2015

Math
Fill in the tens place, and then start reading what they tell you. xxx7x xx37x 9x37x 9437x 94379
July 7, 2015

Ucc
12,48,82,19,66
July 7, 2015

math
5 digit greater 60000 6xxxx My ones digit is less than my 10000 digit 6xxx{0,1,2,3,4,5} on my other digit are the same This is where I get lost.
July 7, 2015

phakamani secondary school
July 7, 2015

Math Statistics
virtually zero. since there is no replacement between draws, 1st # 1/58 2nd # 1/57 ... and so on multiply them all together
July 7, 2015

Grammar
1 is 2 is 3 are 4 were 5 have become If these trouble you, you need to review the forms of the verb "to be"
July 7, 2015

math
well, 515% is not 3/10 515% = 5.15 = 5 15/100 = 5 3/20 or 103/20 Not sure what you want to do with the 3/10. If your typo meant +, then just note that 3/10 = 6/20.
July 6, 2015

math
375/200 = (15*25)/(8*25) = 15/8
July 6, 2015

Math (Finite)
multiply the 2nd row of A by the 2nd column of B: (2)(-2)+(3)(6) = 14 Verify at http://www.wolframalpha.com/input/?i={{1%2C4}%2C{2%2C3}}*{{3%2C-2}%2C{4%2C6}}
July 6, 2015

physics 20
The first question makes little sense, but the second can be answered by solving 13s = 7.25s+350 s = 60.87 Since Jack has to stop after only 60 seconds, he'll watch Zeke's heels as he escapes. One more second and he'd have had zebra for lunch.
July 6, 2015

Calculus
assume all logs are base 3. We have log x^2 = 2log4 - 4log5 log x^2 = log16 - log625 x^2 = 16/625 x = ±4/25 Yes, the -4/25 is a solution, since only x^2 appears, so it's always positive.
July 6, 2015

Physics
speed: y' = 3.12t+1.04 acceleration: y" = 3.12
July 6, 2015

Physics
75000km * 1000m/km * 1rev/.300*2π m = 3.98x10^7 rev
July 6, 2015

Calculus
v = ft/s dv/dt is thus ft/s^2 (acceleration) Since gravity is constant, v' is constant.
July 6, 2015

Physics
(a) 65.0 m/s * 1rev/.700π m = 29.557 rev/s
July 6, 2015

math - eh?
Does the pi1: mean something? That's my question. Do you have one?
July 6, 2015

physics
A. So, how far does sound travel in 6.16 seconds? That is the round trip, so the berg is half that far away. B. same problem in reverse. How long to make a round trip of 2*2.21 meters? distance = speed * time time = distance/speed
July 6, 2015

F.g.c jos
the faces of the cube are 28^2 So is the base of the pyramid. So, the composite volume is 28^3 + 1/3 * 28^2 * 16
July 6, 2015

pre calculus
we know that the fraction remaining after t years is f(t)=e^-(kt) for some k. So, find k: f(227) = e^(-227k) = 0.68 k = 0.001699 So, f(t) = e^(-.001699t) I expect you can take it from here, ok?
July 6, 2015

Maths
google is your friend. I searched for your question and found a solution at http://openstudy.com/updates/53803effe4b04df7f2086291 There are surely others, maybe not quite so complicated.
July 6, 2015

math
at the surface of the earth, g=9.8, so his weight would be 60*9.8 = 588 Newtons
July 6, 2015

Physics
I think you need to specify more. F=ma, but we don't know how long it took to reach its ballistic speed, so we have no idea of the initial acceleration.
July 6, 2015

Science
man, never heard of google, or online dictionaries?
July 6, 2015

Science
neither. Galileo figured that out.
July 6, 2015

Math
Or, you can work it from the other side, which I find easier at the start: x + 2x-40 = 150 3x = 190 x = 63.33 2x-40 = 126.67-40 = 86.67
July 6, 2015

Science
first, that's stationary, since the rock is presumably not made of paper. How long does it take the glass to fall 1.5 meters? Then figure the horizontal speed using speed = distance/time.
July 6, 2015

physics
of course, the air does not have constant density, but under the given assumptions, you want to convert pressure to meters: 1 pa = 1N/m^2 1.04*10^5 N/m^2 * 1m^3/1.3kg * 1kg/9.8N = 8163m or 8.163km The folks who have climbed Mt. Everest (7855m) would be interested to know this...
July 6, 2015

Math
Just review the derivation of arc length in 3 dimensions, as at http://tutorial.math.lamar.edu/Classes/CalcIII/VectorArcLength.aspx s = ∫√(f'^2 + g'^2 + h'^2) dt So, for your problem, f' = √2 g' = e^t h' = -e^-t s = ∫[0,1]√...
July 6, 2015

Sequence
Clearly the sequence is not a geometric progression. It is just a sequence of squares. I think that should get you going.
July 6, 2015

math - eh?
There is no way to tell. The combined ages of the children in no way tells you how many children there are. It does provide an upper limit though, assuming each child is at least 1 year old. Not only that, but the system of equations using the given conditions has no solution...
July 6, 2015

Math
Surely you can play around with the digits on this. For example, (1) Assuming no leading zero, that would be 1023456789 (4) The smallest number greater than 4316. That would be 4317. Are there really any that cause you difficulty? We can check your answers.
July 6, 2015

mathematics :integration
well, just use Reiny's solution, plugging in 5 where he used 0 for S.
July 6, 2015

maths
The product of all three roots is -c. So, if one root is -1, the other two must have a product of c. Hmmm. Not what you wanted. So, divide by x+1, and you have x^3 + ax^2 + bx + c = (x+1)(x^2 + (a-1)x + (b-a+1)) So, the other two roots must have a product of b-a+1. Also, of ...
July 6, 2015

maths
more than 3. f(x) = a(x+2)(x-5) will have those two zeroes. But a can have any value you like. Also, f may have higher degree than 2, since a(x+2)(x-5)*p(x) will also have those two roots, and p(x) can be any polynomial you like.
July 6, 2015

Science
The formula requires c^2 to preserve the units. c is velocity, measured in m/s energy E is measured in Joules, which are Force * distance. Force is mass * acceleration. So, E = (kg)(m/s^2)(m) = kg*(m/s)^2 = Mc^2 For the derivation, just read any introduction to special ...
July 6, 2015

Physics
You know that the max height is reached at v^2/2g sin^2θ, and the range is v^2/g sin2θ So, v^2/19.6 sin^2 θ = 2.96 v^2/4.9 sinθ cosθ = 29 Dividing that, we have tanθ = 0.408 θ = 22.2° v = 20.15 m/s So, the y-component of v is v sinθ...
July 5, 2015

math
if there is \$x at 7%, the rest (8000-x) is at 9%. So, add up the interest: .07x + .09(8000-x) = 600 Now just find x and 8000-x
July 5, 2015

Math
the slope of 2x-4y-1=0 is 1/2 So, the slope if its perpendicular is -2 Now use the point-slope form to write the line through (2,1) with slope -2: y-1 = -2(x-2)
July 5, 2015

math
I get 5.94%, but you are correct. Bogus answer key.
July 5, 2015

Calculus
You are indeed wrong. Here is the graph of y: http://www.wolframalpha.com/input/?i=t^3+-+12t+%2B+3 You can see that y is decreasing for t between 0 and 2.
July 5, 2015

Calculus
I'll assume you meant y = t^3 - 12t + 3 the particle is moving downward when y is decreasing; that means y' < 0 y' = 3y^2-12 y' < 0 when 3y^2 < 12, or |y| < 2 So, since t>=0, y is decreasing when 0 <= y < 2. upward when y > 2 So, you are...
July 5, 2015

Computer Programming
If you are using a decent java IDE, it should flag and highlight things like mismatched braces and wrong types.
July 5, 2015

Computer Programming
Does the java compiler flag errors? It should say what they are. If it runs, but is wrong, then welcome to the wonderful world of debugging. Just eyeballing the code, its logic appears ok. What kinds of errors are you getting?
July 5, 2015

Computer Programming
I posted some ideas on this for another student. See http://www.jiskha.com/display.cgi?id=1435972699 http://www.jiskha.com/display.cgi?id=1436026108 You really need to learn how to use the net for the immense amount of help that is out there. You can find dozens of code ...
July 5, 2015

maths
But √2 is not a root of 6x^3+2x^2-10x-4√2 6(√2)^3+2(√2)^2-10√2-4√2 = 6*2√2 + 2*2 - 10√2 - 4√2 = -2√2 + 4 Care to fix your mistake(s)?
July 5, 2015

Math
This is just more of the same. Find r=1/k. Then you have the radius of the circle, and you can easily find its center. Then just use the standard form for a circle.
July 5, 2015

Math
First get the formula right: k = |x'y"-x"y'|/(x'^2 + y'^2)^(3/2) Then just plug and chug: x' = 2t x" = 2 y' = 3t^2 y" = 6t k = |2t*6t - 2*3t^2|/(4t^2+9t^4)^(3/2) = 6t/(4+9t^2)^(3/2)
July 5, 2015

math
2/3 = 8/12 3/4 = 9/12 That should make it easy to answer the questions now.
July 5, 2015

Math
1695/55 = 30.8
July 5, 2015

maths
n even: n = 2k n^3 = (2k)^3 = 8k^3 an even multiple of a number is always even n odd: n = (2k+1) n^3 = 8k^3 + 4k^2 + 2k + 1 = 2(4k^3 + 2k^2 + k) + 1 The extra +1 at the end makes the result odd.
July 5, 2015

maths
what is ^2 ? Do you mean √2 ? If so, then you have 6x^3+2x^2-10x-4√2 That does not have x-√2 as a factor. So, enlighten us as to your notation.
July 5, 2015

maths
If the roots of q are roots of p, then q must divide p. If you do the long division, you will find that the remainder is -(a+1)x^2 + 3(a+1)x + (b-2a) These must all be zero, which means that a = -1 b = -2 So, p(x) = x^5-x^4-4x^3+3x^2+3x-2 q(x) = x^3+2x^2-1 q(x) = (x+1)(x^2+x-1...
July 5, 2015

maths
b/(b+g) = 3/5 (b+6)/(b+6 + g-6) = 3/4 Originally, there were 24 boys and 16 girls. 24/(24+16) = 3/5 30/(30+10) = 3/4
July 5, 2015

Science Help Not sure
velocity is directional, while speed is not. So, (C)
July 4, 2015

science
the value does not change when you multiply it by 1. So, write 1 in the ways you need to get the units you want: 100km/hr * 1000m/km * 1hr/3600s = 27.778 m/s
July 4, 2015

Java
You really need to learn how to consult your java documentation, or at least use google. I did a search for "java loop" and found this in 5 seconds: while( x < 20 ) { System.out.println("value of x : " + x ); x++; } I'm sure you can adapt it to your ...
July 4, 2015

lazy spelling, vague math question
care to be a bit more specific on just what it is you want to solve? And we're not here to check our ability -- we're her to help with homework problems. Why don't you show us how far you got, and where you get stuck?
July 4, 2015

geometry
π*8(8+15) And that's pi, not pie! Pie is what you eat.
July 4, 2015

Physics
sorry, no graphs here. No doubt a google search will turn some up for you to look at. If calculus is something you have studied, the result is almost trivial.
July 4, 2015

Physics
how long does it take to fall 11m? 1/2 at^2 = 11 Then it takes the sounds 11/343 s to come back.
July 4, 2015

Sorsogon state colleges
If it fell to ground after 6 seconds, then it was at its maximum height after 3 seconds. So, how far does a ball fall in 3 seconds? s = 1/2 at^2
July 4, 2015

science
acceleration is (25m/s)/(10s) = 2.5 m/s^2 distance during acceleration: s = 1/2 at^2 = 125m so, total distance is 125 + 10*25 = 375 m
July 4, 2015

Some do.
July 4, 2015

Basic Computer Science
There are lots of java snippets online. Here's something that should work: public static void xx(int n1, int n2) { if (n1 == n2) System.out.println(n1*n2); } It can be prettied up some, but that's basically all you need.
July 3, 2015

Math
c+s+a = 170 5c+6s+8.50a = 970 c = 2s I expect you can take it from there, right? And why specify that student tickets are "all day"? Are the others restricted in some way?
July 3, 2015

munali boys
y = k x^2 √z Or, y/(x^2 √z) = k and is constant. So, 3/(4^2 √9) = y/(3^2 √16) Now just solve for y.
July 3, 2015

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