# Posts by Steve

Total # Posts: 51,751

Math
well, the 19 ten-thousands (19 followed by 4 zeroes) make it 19x,xxx now just fill in the other places with their values.

Mathematics
Take a look at the determinant of the matrix. It is (a^3+b^3)...

Math
I have no idea what you mean by somewhere in between North and the West Point and is "yp" supposed to mean something like yp?

MATHS
Sorry. I got confused by the SHOUTING. If AQ is a constant distance, then Q lies on a circle centered at A.

MATHS
If BP=PC, then P is on the perpendicular bisector of BC. As for Q, I have no idea where M is...

analytic geometry
The circle has equation (x-h)^2 + (y-k)^2 = 2 A radius with slope 1 perpendicular to the line (which has slope -1) is thus y=x+2 So, the circle has equation (x-h)^2 + (y-(h+2))^2 = 2 Since it contains (1,3), we have (1-h)^2 + (3-(h+2))^2 = 2 h=0,2 and there are two circles ...

science
well, the product of weight and distance has to be the same on both sides of the fulcrum.

college algebra
as with all quadratics, the vertex is reached at t = -b/2a = 44.1/9.8 Now just find h(t) for that value.

maths
multiply both sides by 9/7 and see what you get.

maths
Since multiplication is commutative, it must be true. All you have done is move the 1/5 outside the brackets.

maths
-13/15 - 19/27 = -212/135

math
That's a pretty small sample, but it appears that Tn = 2*(nth odd number) So, 106 = 2*53 53 is the 27th odd number

Math
since the roots of the quadratic are 1±?2 i (alpha-1) and (beta-1) are ±?2 i If you want real coefficients, this will not produce the required complex conjugates. I suspect a typo. So, fix that and then just plug and chug.

Math
I don't think the slant height of each face can be equal, unless the base is square. On the short sides of the base (of length w), the slant height is ?(w^2+11^2) On the long sides, it is ?((w/2)^2+11^2)

math
ok. the picture has length 2 and width 2 There is a frame of width w all around. So, now the length is w+2+w and the width is w+2+w, or 2+2w So, the area (which I am sure you know is length * width) is just (2+2w)(2+2w) = (2+2w)^2 = 4(w+1)^2

math
see your previous post of this question. What do you not understand about what I said there?

math
huh? what does that mean? "That is x" ? ? If u = 2x-7, then (2x-7)^2 = (-(2x-7))^2 = (7-2x)^2

math
Oops. I guess you mistyped it before. I see it is different now. So, you know that u^2 = (-u)^2, right? so what if u = 2x-7 ?

math
huh? I already told you one thing to try. If they are equal, they must be equal for all values of x. So, is it true if x=2?

math
what, still no thoughts of your own? A. (x+7)(x-7) = x^2-49 B. What are the dimensions if x=7? C. both dimensions must be positive, so x > 7

math
6x+45 = 111

Math
If the mix has x kg of the \$2.50 nuts, then the rest (30-x) is \$11 nuts. Now just add up the value of each part, and they must add up to the total: 2.50x + 11(30-x) = 2.10*30 now solve for x ...

Physics
first, find the acceleration needed. Then, F = ma

math
well, generally the difference is the larger number minus the smaller. For example, the difference between 5 and 12 is 12-5 = 7, not -7. So, for this problem, I'd say that the difference is 118-(-30) = 148 Other than that, it looks good.

PreAlegebra
in these kinds of problems, the largest area is always achieved when the available fencing is divided equally among lengths and widths. In this case, the maximum area is found when the garden is 80x40.

Math
3/4 + 2/3 = 9/12 + 8/12 = ? maybe after playing, you can work on typing ...

English
#2 or #5 are often used. The rest, almost never. Some additional context would be needed to give rise to those usages.

math
see you earlier post for suggestions.

English
All are grammatical in some contexts. Though the distinction is fading away, "will" is used in the indicative mood "shall" is the imperative mood (reversed in first person)

English
No one would ever say #1.

math
you need to add the width w on both sides of the frame. Also the width, and as you know, area = length*width

math
Boy, you're not going to do anything on this, are you?

math
at the very least, try using some value for x, say x=1. Does (2+7)^2 = (7-2)^2 ??

math
this is just an exercise in polynomial multiplication. You should recognize the difference of two squares. Even if not, you can surely attempt B and C. A garden cannot have negative sides, right? Charging in and demanding answers "now" will not get you much help here.

Physics
the acceleration is as usual: -9.8 m/s^2 due to gravity Considering h=0 when it was thrown, we have h(t) = 7.26t - 4.9t^2 = 3.3 I don't get your answers. In fact, I suspect a typo. What did you do?

Maths
well, the nth figure has n(n+1)/2 triangles, so check it out.

geometry

math
well, tan? = 12/18 now adjust for the new values.

math
If he can buy x expensive pencils that cost p each, then xp = 1800 (x+12)(p-40) = 1800 so, since x = 1800/p, (1800/p + 12)(p-40) = 1800 Now just solve for p

Maths
If you check this out, you will see that the velocity vectors form a right triangle, making things pretty easy. The final speed is just the hypotenuse of the triangle: ?(20^2+5^2) = ?425 ? 20.6 km/hr The direction is just (136-?)° where tan? = 5/20 the distance is of ...

WIS
80

english II
Shelby started what? direct object now what is "running" ?

Math
using a common denominator of 84, they are 42/84, 56/84, 32/84 so, what do you think?

math
A. if x is cut from each corner, then each side of the square base is 28-2x. When the tabs are folded up, the height of the open box will be x. As you know, volume is length*width*height B. The area (outside only) is the area of the square base plus 4 sides of length 28-2x and...

Pre-Calculus 12
well, you need to get the x stuff isolated, so get rid of those exponents: (x-2) log3 = x log5 x(log3-log5) = 2log3 x = 2log3/(log3-log5) = log9/log(3/5) = log3/59

Math
why stop there? subtract the equations and you get 2b = 10 b = 5 so, a = -4 so, the equations is -4x^2+5x+3 = 0 as always, the axis of symmetry is at x = -b/2a, so it is x = 5/8 and the vertex is at (5/8,73/16) you can see this by writing it as y = -4x^2+5x+3 = -4(x^2 - 5/4 x...

Trigonometry
as usual, parentheses make a big difference. sina/(1+cosa) if you recall your half-angle formulas, you know that this is just tan(a/2)

Algebra
you'll get a better answer if you don't forget that "-1" on the right: [x(x+1)] + [(x-1)(x-2)] = -(x-2)(x+1)

physics
since there is no acceleration, there must be some friction.

English
#1 is bad English -- improper grammar #2 is grammatical, but not something I'd say #3 is best, because it offers an accomplishment as proof of intelligence.

Math
just to get you started, 2x^2 + 7x - 15 = (2x-3)(x+5)

math
yes. just review your text on the topic of independent events.

Math
2/1887893279

math
assuming integer dimensions, 36 = 2*2*3*3 4x3x3: area=66 1x1x36: area=146

Math
It is neither arithmetic nor geometric. Take a look at the first few terms: T1 = 5^1/(2*3) = 25/30 T2 = 5^2/(3*4) = 25/12 T3 = 5^3/(4*5) = 25/4 ... As wolframalpha shows, the general sum is not elementary: http://www.wolframalpha.com/input/?i=sum+(r%3D1..n)+5%5Er%2F%5B(r%2B1)(...

math - incomplete
a curve has area zero, regardless of it radius. It's just a line.

Math
If a box's base measures x by y cm, and its height is h, then all we can tell is that v = xyh You don't give enough information to pin down any one of the three variables.

Maths
In that case, look for a typo somewhere. The numbers you gave produce the given result.

Maths
the modulus of z1 = |2-i| = ?(2^2+1^2) = ?5 z1•z2 = (2-i)(-2+i) = -3+4i so, Re(z1•z2)/?5 = -3/?5

math
a) 2x-3y = 1 kx+5y = 7 There is no single value of k which determines a unique solution. In fact, since the slope of 2x-3y=1 is 2/3, any value of k which makes the slope of the other line different from 2/3 will work. So, if -k/5 = 2/3 then k = -10/3 and the line -10/3 x + 5y...

math
6000000 * 0.90^4

math
just start with the first piece of data and make things fit. Apparently you have a 5-digit number: xxxxx My hundred digits means nothing: xx0xx and take it from there.

Math
Thanks for the referral! :-)

Math
If you find this interesting, read about Gödel encoding, where each letter is a prime factor raised to a power. The nth letter is the nth prime to the power of the letter's place in the alphabet. For example, cat is represented by 2^3 * 3^1 * 5^20 You can see that the...

math
the domain of rational functions is all real numbers except where the denominator is zero since x^2-4x-5=0 when x = -1 or 5 ?(3-x) is undefined when 3-x < 0, its domain is x <= 3 so, the domain of f/g is (-?,-1)U(-1,3) because anywhere else either f or g or f/g is ...

math
I have no idea what (srt)x means. I'll take a guess it is sqrt(x) or ?x. If I got it wrong, maybe you can clear it up. h(x) = 5-1/?(x+1) g(x) = 1/?(x+1) f(x) = 5-x h(x) = (f?g)(x) = f(g) = 5-g = 5-1/?(x+1) If you need to fix things a bit, it should be clear now how to ...

Calculus
Since his swimming speed is so much slower than his walking speed, I am surprised that the angle is so small. also, 3*0.13533 = 0.406 So, I suggest that Ø = ?-arcsin(1/8) = 3.01626 The graph seems to confirm this: http://www.wolframalpha.com/input/?i=x%2F8%2Bcosx

Chemistry
2BrF3 -> Br2 + 3F2

chemistry
well, how many moles in 2.5g of Butane? then the # of carbons (4 per molecule) is #moles * 4 * 6.023*10^23

Chemistry
how many moles of toluene? a 100% yield would produce that many moles of benzoic acid.

math
no, the threads replace a smooth area with two sides of a groove. Two sides of a triangle add up to more than the third side.

math
one fund: (90+20+10)/200 = 120/200 no fund: 8/200

math
I assume P(Q) is the price. So, the revenue R(Q) = Q*P(Q) profit is thus R(Q)-C(Q) = Q(50-Q/10)-(0.05Q^2+2000) = -0.15Q^2 + 50Q - 2000 now just find the vertex of the parabola.

Algebra
7+3?(2?5)

Math/Probability

Precal12
but n^2 + n - 56 = (n+8)(n-7)

Physics
first, how long till they meet? Check to see when the heights are the same: 25t-5t^2 = 25-5t^2 Now use that value of t to get the height.

Math
2/5 + 1/3 = 6/15 + 5/15 = 11/15 that's how much she spent. So how much was left?

math
come on, guy -- do the math (65/12 + 12/7) -------------------- = ? (65/12 - 12/7)

English
Q1: no difference. The "with me" is implied -- how could you take him home with someone else? Q2: #1 and #2 are basically the same: close proximity at the time. #3 is a little more general, since they may not actually be physically nearby at all times.

math
(3/8 - 5/12) / 1/(-15/8 * 16/27) = (9/24 - 10/24) * (-15/8 * 16/27) = (-1/24) * (-10/9) = 5/108

Math, science.
consider the fact the two angles add to 180° so, what is the sum of their bisectors?

sjps science
sentence is gibberish no choices listed

Math
5588 6299 and others

algebra
cosA/(1-sinA) * (1+sinA)/(1+sinA) = cosA(1+sinA)/(1-sin^2A) = cosA(1+sinA)/cos^2A = (1+sinA)/cosA = secA + tanA You can easily see that your original equation is false. Just use A = pi/4

Math
C(x) = 40x

AOOOGAH!! Homework Dump!!
not here, buddy...

physics
by "length" do you mean the tread width? Otherwise, what difference does it make how long the step is? Anyway, just figure the distance to cover one step (up and across), and multiply by 5. then use the Pythagorean Theorem on the total horizontal and vertical ...

Math
think linear inertia resisting the centripetal force

plane geometry
well, r = s/?3

maths
Hmmm. I'd say that AC=8 Also, the 3rd side is either 8 or 12, right?

maths
what, no calculator? just enter the expression into google. Be sure to use enough parentheses. If you enter your text at wolframalpha.com, it will show you how it interpreted your input.

physics
v(t) = 20-10t Think on it. Each second, the velocity decreases by 10 m/s

geometry - incomplete
without a diagram, it is impossible to tell how the angles are related.

math
just write it as math, and then solve. If the AP has 1st term a, and the GP has first term g, then a+2d = g a+3d = gr a+7d = gr^2 10/2 (2a+d) = 85

circles
they are exactly the same equation.

Math
(1/2)^(10000/24000) = 0.74915 (1/2)^(30/n) = 4^(-1/3) n = 45

trigonometry
I did this one already, but your typo made it work out wrong. You have fixed the typo, so just change the 15 to 5, and work it out. What do you get?

Math
all three of these are basically the same. You have a constant value up to some value, then a linear function after that.

math urgent help
that's better.

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