Friday
September 30, 2016

Posts by Steve

Total # Posts: 44,265

math
each ate 3/8 so, 5/8 remained
August 29, 2016

math
Many choices: 3/5 4/6 5/7 ... didn't you even try at all?
August 29, 2016

science
Its name?
August 28, 2016

Math
If Matt takes m hours, then Carla takes 4m. So, together, 1/m + 1/4m = 1/8 5/4m = 1/8 m = 10
August 28, 2016

Math science
end of what? zero is just a number, like any other. Though it does have several unique properties. There is no "end" number.
August 28, 2016

Urgent Math
I like it! But the half-angle formula would have gone directly to (cos2x - 1)/sin2x = -tanx Then we'd have ∫tan^2(x) dx = ∫sec^2(x)-1 dx = tanx - x + C
August 28, 2016

Urgent Math
∫(cot2x-csc2x)^2 dx ∫ cot^2(2x) - 2cot(2x)csc(2x) + csc^2(2x) dx ∫ 2csc^2(2x) - 1 - 2cos(2x)/sin^2(2x) dx Now everything is standard forms, so you get -cot(2x) - x + 1/sin(2x) csc(2x) - cot(2x) - x or, you can go on to get (1-cos(2x))/sin(2x) - x (1 - 2cos^2(...
August 28, 2016

physics
the height is modeled by the function h(t) = 60 + 30t - 4.9t^2 max height is at the vertex of the parabola, at t = -b/2a = 30/9.8 Use that to evaluate h(t) there. It hits the ground when the height has dropped to zero. So, just solve 60 + 30t - 4.9t^2 = 0
August 28, 2016

physics
while I did miss on the velocity/speed problem, I think we can assume that if he is driving east, as given, that is the direction of the straight road... But, it's fun to be picky when the problem is poorly stated.
August 28, 2016

physics
assuming (1) that you meant 48.0 km/hr (2) that speed was achieved during the 144km trip then since time = distance/speed, it would take 144/48 = 3 hours
August 28, 2016

Math
Just substitute in a desired value. f(x) = 3x+2 f(a) = 3a+2 f(2a) = 3(2a)+2 = 6a+2 f(4) = 3(4)+2 = 14 and so on
August 28, 2016

Math
A = x(3-2x) = 3x-2x^2 P is ok your conclusion is correct, except that 3-2x = -1 when x is 2.
August 28, 2016

Math
solve what? The only thing we can say is that the bearing of q from p is 180+55 = 235°
August 28, 2016

math
6!
August 28, 2016

math
aside from noting that (x^3+y)^0 = 1 this is a simple exercise in expanding powers of binomials. Type in your expression at wolframalpha.com to verify your results. >wink wink< Be sure to use ^ for powers, or it will just multiply.
August 28, 2016

College math
just plug it into your formula: 10000(1 + .09/12)^(12*7)
August 28, 2016

Trig
Think of a 5-12-13 triangle. Draw the triangle and review your basic trig functions.
August 28, 2016

Chemistry
1 mole contains Avogadro's Number of K+ ions
August 28, 2016

calcus
Draw the base line AB of the triangle. Now construct the perpendicular bisector of AB. The vertex C can be anywhere up along that bisector to form an isosceles triangle.
August 28, 2016

calcus
Come on - just because you are making the triangle less tall does not mean that the base has to change. It is still isosceles. The only sticking point comes when the two legs shrink down to 1/2 the base length. At that point the triangle has flattened into a straight line.
August 28, 2016

calcus
If the leg length is s, the height of the triangle is h^2 + (10√3)^2 = s^2 or h^2 + 300 = s^2 The area is a = 1/2 bh = 10h√3 = 10√3 √(s^2-300) when the triangle is equilateral, s=20√3 da/dt = 10√3 s/√(s^2-300) ds/dt = 10√3 * 20&#...
August 28, 2016

geometry
just set the two expressions equal to each other: 4(x+2) = 2(3x+2) + 2(x-1) Now you can solve for x and then evaluate either expression for the perimeter.
August 28, 2016

Bio physics chemistry pre medical
the molar mass is 20*C+30*H+O where C,H,O are the atomic masses of the atoms. Now divide 500g/molarmass * Avogadro's Number review what moles are
August 28, 2016

Math
2(6+2) just the perimeter, in meters. Kind of boring, using 1m as the edge width.
August 28, 2016

Math
(30-2w)(20-2w) = 375
August 28, 2016

Math
v = π/4 d^2 h now use your numbers
August 28, 2016

Math or Maths???
prolly from mathematics -- "maths" retains the "s"
August 28, 2016

maths
Oops. I worked an A.P., not G.P. a = ar + 4 ar + ar^2 = "2 by 2/3" Now just solve for a and r and then list the first 4 terms.
August 28, 2016

maths
a = (a+d)+4 (a+d)+(a+2d) = "2 by 2/3" (whatever that means) Anyway, now just solve for a and d, and then list the first 4 terms.
August 28, 2016

Math Need Help
Just do a long division first: ((2x+4)(2x-1))/(3x-2) = 4x/3 + 26/9 + 16/9 * 1/(3x-2) so, ∫((2x+4)(2x-1))/(3x-2) dx = 2x^2/3 + 26/9 x + 16/27 log(3x-2) + C
August 28, 2016

Maths
If the 3rd side is x, then we must have 8-6 < x < 8+6
August 28, 2016

math
google is your friend. See http://www.mathopenref.com/coordtrianglearea.html
August 28, 2016

percentage
20% of (12000-2000) = 2000 30% of the remaining 10000 is 3000 so now you can see how much she saves monthly, and thus can figure the annual savings.
August 28, 2016

Calculus
Your typo does not help, but the problem is discussed here: http://math.stackexchange.com/questions/217026/show-that-f-has-at-most-one-fixed-point remember that google is your friend.
August 28, 2016

Math College 115
(7.5-6.5)/(2009-2004)
August 28, 2016

math
when you said quadrilateral, that means four sides.
August 28, 2016

maths
The two angles form a straight line, so how many degrees is that in total?
August 28, 2016

Math
well, let XY=2 and YZ=5 XY/XZ = 2/7
August 27, 2016

College Math
(4*50)/350 = 4/7 = 57%
August 27, 2016

Math
use either point in your equation: -3/13(-10)+b = 3 30 + 13b = 39 13b = 9 -3/13(-2)+b = -5 6+13b = -65 13b = -71 Hmmm. They should come out the same. Let's check your slope: m = (-5-3)/(-2+10) = -1 So, y = x+b -(-10)+b = 3 10+b = 3 b = -7 -(-2)+b = -5 2+b = -5 b = -7 So, ...
August 27, 2016

Algebra 1
how vewwy vewwy wude!
August 27, 2016

Math
differences: -1/3, 1, -3 ratios: 0, ∞, -2 since neither is constant, it is neither an A.P. or a G.P. So, how to figure the next terms? Note that the differences form a G.P., with the next terms 9,-27,81 Adding those to -2, we get 7,-20,61, or choice (A)
August 27, 2016

Maths
If you take the time to list the possible events qnd the contents of the jqr qfter eqch, the qnswer will become cleqr. qnnoying, isn't it?
August 27, 2016

Maths
2/3 * 2/3
August 27, 2016

real analysis
google is your friend http://math.stackexchange.com/questions/283987/interior-closure-and-boundary-of-the-sets-of-all-rational-and-irrational-number
August 27, 2016

Higher Math
tan10x = 2tan5x/(1-tan^2(5x)) so, 2tan(5x)/(1-tan^2(5x)) = 1/tan(5x) 2tan^2(5x) = 1-tan^2(5x) 3tan^2(5x) = 1 tan 5x = ±1/√3 Now use that to get your reference angles and produce as many solutions as your domain requires.
August 27, 2016

Math
height: h width: h+4 length: w+8 = h+12 h(h+4)(h+12) = 512 all the factors of 512 are powers of 2, so we have 2^9 = 512 2+3+4 = 9 2^2 * 2^3 * 2^4 = 512 4*8*16 = 512
August 27, 2016

math
when n=1, A1 = -7*1+8 = -7+8 = 1 now just start subtracting 7 again and again.
August 27, 2016

math
since you keep multiplying by -1, there will be (n-1) of them by the nth term.
August 27, 2016

math
Check the ratio between terms. If it constant, choose it. For example, -6/2 = ?
August 27, 2016

math
F is the first term None of the choices identifies the first four terms
August 27, 2016

maths
9999999 - x = 6543210
August 27, 2016

math
42
August 27, 2016

Math
heads: s+a=10 legs: 8s+6a=68 Now just solve for s and a.
August 27, 2016

math just for fun
111*16 = 1776 pages Looks like 4 reams will do the job. So, how much will that cost? If only paying for the paper used, that would end up as 1776/500 * 3.88
August 27, 2016

math
.70p = 35
August 27, 2016

Math
Also, note that you have not said which numeric grade is equivalent to a B. Nor have you said how many items remain to be graded. If you can't specify the requirements, how can you expect a solution?
August 26, 2016

Math
512 = 8^3 = 2^9
August 26, 2016

math
it has an inverse, since f^-1(x) = ∛(x-8) + 2 Also, you know that g(x) = x^3 is 1-to-1, and f(x) is just g(x) shifted by (2,8). More formally f(x) is one-to-one if f(a) = f(b) means that a = b so, let's say that f(a) = f(b) That means that f(a) = f(b) (a-2)^3+8 = (b-...
August 26, 2016

Physics
you forgot the depth: 1cm Though it makes the units come out, it does not affect the final numerical value. Looks good.
August 26, 2016

12th grade physics
1000 cosθ where sinθ = 15/40
August 26, 2016

algebra
what do you mean by reasonable? Is 23.62 less reasonable than 23 ?
August 26, 2016

maths
minimum cost is at the vertex of the parabola. As usual, that occurs at x = -b/2a = 10/0.5
August 26, 2016

geometry
clearly AB has been rotated 1/4 turn to the left. Since the triangle is still the same size (AB has the same length as A'B'), we just need to find the translation. (-3,4) --> (-2,-3) so it has been moved by (1,-7) Now just convert those two changes to your standard ...
August 26, 2016

geometry
With no figures to consult, it's very hard to say ...
August 26, 2016

Math
seven digit number xxxxxxx digit 3 in my ten thousands and tens places xx3xx3x carry on from here
August 26, 2016

calculus
see whether you can come up with the answer shown at http://www.wolframalpha.com/input/?i=inverse+%7B%7B16,1%7D,%7B1,16%7D%7D
August 26, 2016

calculus
Review the definition of matrix multiplication. See if you can come up with the answer shown at http://www.wolframalpha.com/input/?i=%7B%7B3,8%7D,%7B6,3%7D%7D*%7B%7B4,5%7D,%7B4,4%7D%7D
August 26, 2016

algbra
I believe √100 = 10, not 5 anything that is only concerned with integers and fractions is rational. √19 is irrational nope pi is irrational the √ values are irrational only (a) is rational I think you have some reviewing to do...
August 26, 2016

calculus
eh? just subtract corresponding elements: [1 5 2] ...
August 26, 2016

Math
1.08x <= 18
August 26, 2016

algebra 1
both correct. Although, I don't think Best Buy sells cereal...
August 26, 2016

Maths
As always, draw a diagram and review your basic trig functions. If B is at height h above A, then h/600 = sin11° Now, if the distance CA is x, x = 600cos11° + h cot23°
August 26, 2016

maths
since 3/4 of each, that means 3/4 of their total. (3/4)t + (3/4)c = (3/4)(t+c)
August 26, 2016

Math
recall that for odd powers, a^n + b^n = (a+b)(a^(n-1) - a^(n-2)*b + ...) since 4+6=10, the product is a multiple of 10, so dividing by 5 leaves a remainder of zero. (D)
August 26, 2016

physics
solve 35t - 4.9t^2 = 0
August 26, 2016

Lost
3000c - 900 = 3750 3000c = 4650 c = 4650/3000 or, more directly c = (p+e)/n
August 26, 2016

Math
if n is any value except zero, n/n = 1
August 26, 2016

Math
list the pairs of factors of 60 and 75 The more factors, the more ways they can be arranged.
August 26, 2016

Analogy
eighteen:even::thirty-three:odd
August 26, 2016

Chemistry
convert to moles, then multiply by Avogadro's Number
August 25, 2016

Math
see related questions below
August 25, 2016

Physics I - Modern
it's mv/√(1 - v^2/c^2) see http://hyperphysics.phy-astr.gsu.edu/hbase/relativ/relmom.html
August 25, 2016

Math
well, a 150lb person on the moon would weigh (150/120) * 20 = 25lb
August 25, 2016

Math
no idea. try google
August 25, 2016

physics
40 mi/hr * 1609m/mi * 1hr/3600s * 60s/min * 3min = 1073.7 m
August 25, 2016

7th grade math
clearly, two of the three possible discounts will give enough discount so that the final price with tax will be less than $25. So, probability is 2/3
August 25, 2016

7th grade math
There are 8 possible outfits with the shoes and bottoms. So, what is the smallest multiple of 8 that is at least 35? Using n tops, he gets 8n outfits.
August 25, 2016

Pre-calculus
Since the axis is horizontal, the general equation is x = a(y-k)^2 + h Since the vertex is at y=k, k = h and that means x = a(y-k)^2 + k Using the two points, we have a(-2-k)^2 + k = 6 a(4-k)^2 + k = 3 solve those, and you wind up with x = 1/4 (y-2)^2 + 2 x = 5/36 (y-14/5) + ...
August 25, 2016

math
1/4 + 5/8 + x + 3/4 = 2 1/2 Now just solve for x did you get 7/8 ?
August 25, 2016

Math
since distance = speed * time, if your speed is x, then 2*x + 2*2x = 258
August 25, 2016

physics
The ball's height is modeled by h(t) = 15t - 4.9t^2 The ball will be 8m high twice: on the way up and on the way down. These times can be found by solving 15t - 4.9t^2 = 8 See http://www.wolframalpha.com/input/?i=15t+-+4.9t%5E2+%3D+8 If you include the units in your ...
August 25, 2016

MATH
(36-30)/30 * 100
August 25, 2016

Maths
there are 48*16 food portions after 4 days, 48*4 portions have been eaten. So, there is enough for (48*16 - 48*4)/(48-12) = 16 days or, after 4 days, 1/4 of the food is eaten. That leaves enough for 12 days for the full population. But, the population is now 3/4 what it was, ...
August 25, 2016

value
m/d = 8/5 d = 15, so m=24 so, what is m-6?
August 25, 2016

Maths
start with cot(x/2) = sinx/(1+cosx) and see where you can take that.
August 25, 2016

maths
just list the factors of 72, and work with that, depending on how many piles you want: 1 72 2 36 2 2 18 2 2 2 9 ... 3 3 8 3 24 and so on
August 25, 2016

alg. Connections
total points for an 85 average: 85*3 = 255 Points so far: 81+86 = 167 So, haw many does she still need?
August 25, 2016

algebra HELP MRS SUE
B is better :-)
August 25, 2016

lauren
If $x at 11%, then the rest $(6300-x) is at 7%. So, just add up the interest: .11x + .07(6300-x) = 565
August 25, 2016

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