Friday
October 24, 2014

Posts by STEVE


Total # Posts: 26,075

Algebra 2
If we call the equations #1,2,3 then subtract #1 from #2 and #3 from #3 to get 96a + 8b = 2 84a + 6b = 0 So, 6b = -84a, meaning 8b = -112a So, 96a - 112a = 2 -16a = 2 a = -1/8 now use that to get b = 7/4 c = 7 It would have been nice for you to have shown your work. Oh well, ...
October 13, 2014

College Physics
Since all her KE is converted to PE, 1/2 mv^2 = mgh so, 1/2 * 39.7^2 = 9.81h Note that the angle of incline makes no difference.
October 13, 2014

Algebra help
If you mean to say f(x) = 5x-1, then you are correct.
October 13, 2014

Math
as was already posted, 2cos^2 θ
October 13, 2014

Intro to Programming PT1420
nothing - there is a syntax error.
October 13, 2014

Math
If the intensity on Earth is x, then since Id^2 = k is constant, 9140*.387^2 = 1x As for rate of change, who says it's changing?
October 13, 2014

Math
Yes, I can.
October 13, 2014

Physics
If she has mass m, then she is part of the total mass. So 120 = (8.4+m)(1.7) Now just solve for m.
October 13, 2014

physics please help
√(4.57^2 + 4.74^2) / 5.76 = 1.14 m/s^2 I expect you can figure the direction.
October 13, 2014

vp manthata secondary school
Since v = πr^2h 42 = 5πr^2 r^2 = 42/(5π) r = √(42/(5π))
October 13, 2014

College Math
(a) a circle always gives the largest area for a given perimeter. Among rectangles, a square gives the largest area. (b) 1: p = 120/4 = 30 ft area: 7.5^2 = 56.25 2: c = 120/5 = 24 area: = 45.8 So, the expensive fencing reduces the circular area for planting.
October 13, 2014

MATH 101
15x^2(2x + 3) + 41x(2x + 3) + 28(2x + 3) (15x^2+41x+28)(2x+3) (3x+4)(5x+7)(2x+3)
October 13, 2014

MATH 101
40(30+41t+7t^2) 40(5+t)(6+7t)
October 13, 2014

math
(10+4)(6+4)-(10)(6)
October 13, 2014

Math
(4/5)(m-m/12) = 704 (4/5)(11/12)m = 704 11/15 m = 704 m = 704 * 15/11 m = 960
October 13, 2014

Math
After taxes, a $1 items sells for $1.085 So, the items sold account for all the extra money: (1065.95-122.00)/1.085 = 870 That's how many items were sold.
October 13, 2014

Math-Urgent help please.
4/52 * 4/51 = 0.00603 so, knowing that, choose 2
October 13, 2014

Kennedy king
(1+r)^10 = 2.0 1+r = 2.0^0.1 r = 2.0^0.1 - 1 So, to grow by a factor of 1.5, will take (1+r)^t = 1.5 2^.1t = 1.5 .1t = log1.5/log2 t = 10(log1.5/log2) = 5.85 years Depending on when interest is posted, it could take up to 6 years to see the $15K
October 12, 2014

English
Thank you
October 12, 2014

English
Jack London's works did not enjoy popularity until after his death. a- true b- false My answer is false
October 12, 2014

English
No mam just the way I wrote it. Could they be talking about gold from Alaska?
October 12, 2014

English
I agree but that is the way the homework question was stated.
October 12, 2014

English
How did gold get to California? a- dog sled b- steamship c- by airplane My answer is steamship
October 12, 2014

English
How much gold , arriving in San Francisco, triggered the gold rush? a- 500 lbs b- 1 ton c- 2 tons My answer is 2 tons
October 12, 2014

geometry
a vertical line has equation x=h for some h. You have the point (5,6), so x=5 Similarly for horizontal lines and y.
October 12, 2014

Calculus
since h = 2r, r = h/2 v = pi/3 r^2h = pi/12 h^3 So, dv/dt = pi/4 h^2 dh/dt When h=6, we have 25 = 9pi dh/dt Now just do the math
October 12, 2014

math
Yeah, that's the problem when the assumptions aren't explained. Another way would be to assume the bill included the tax, so the actual meal only cost 56.25/1.075, and the tip was calculated on that basis. There'd be no reason to even mention the tax if it weren&#...
October 12, 2014

math
c'mon. You get a bill for $56.25 You tip 15%, which is 56.25 * .15 You add that to the bill, so your final amount is 56.25 + 56.15 * .15 = 56.25(1+.15)
October 12, 2014

math
Depends - do they tip on the whole bill? Most folks do. In that case, they spent $56.25 * 1.15 if the tax is included in the bill, as is usually the case.
October 12, 2014

geometry
I just did! The line AB has slope -5. So, any line parallel AB also has slope -5. The line you want is thus y-1 = -5(x+2)
October 12, 2014

geometry
a line with slope m containing (h,k) is y-k = m(x-h) Now plug in your values.
October 12, 2014

precalc
220/360 of the full circumference
October 12, 2014

Algebra
clearly, for a physical cube, the sides cannot be zero or negative. So, the domain is all positive real values: s > 0 So, the range, 6s^2, is also all positive reals, A > 0 Your teacher has further restricted the domain to s >= 5 So, the range 6s^2 >= 150 In ...
October 12, 2014

Algebra
the domain of all polynomials is all real numbers. Naturally, in the real world, only positive time makes sense, so the domain here is just t >= 0 What planet is this ball on? gravity on earth wold make the function H(t) = 72t - 16t^2 Find the vertex of that parabola. That ...
October 12, 2014

college intermediate
If x are taking both biology and Spanish, then 36+52-x = 200-126 x = 14 So, 36-14=22 are taking biology but not Spanish. That should get you started.
October 12, 2014

Math
If x = |x|, then x is positive If x-2 ≠ |x-2| then x-2 is negative That should get you started.
October 12, 2014

Algebra 2 Answer Check (Reiny)
You have done a horizontal compression
October 12, 2014

Algebra
f+s+t = 490 3f+2s+t = 878 s = 4+2t Now you can solve for f,s,t.
October 12, 2014

Math
as written, it is 0 with remainder x-6 I think you mean (10x^4-50x^3-800)/(x-6) See the details at calc101.com click on the "long division" button.
October 12, 2014

Math
If a rectangular array, 6x+6y = 750 a = 4xy = 4x(750-6x)/6 = 500x - 4x^2 max area at x = 62.5, y=62.5, large pen = 125x125 If a linear array, 8x+5y = 750 a = 4xy = 4x(750-8x)/5 = 600x - 32/5 x^2 max area at x=46 7/8, y=75, large pen = 186.5x75 As usual, the square provides the...
October 12, 2014

AP CALC. AB
#1 The particle is at rest when its velocity is zero. So, we need dx/dt=0 dx/dt = 6t^2-26t+22 So, solve for t #2 moving left ==> velocity is negative dx/dt = 16t^4-75t^2+60 So, solve for dx/dt < 0 #3 greatest speed is max velocity. That means dx/dt has a max, so d^2/dt^2...
October 12, 2014

Algebra
If the short leg is x, we have x^2 + (3x+13)^2 = (3x+14)^2 x = 9
October 11, 2014

math
the same as the number of places the decimal point has shifted.
October 11, 2014

math
Any value x such that 3.5-3.5 < x < 3.5+3.5
October 11, 2014

Math (Algebraic Proving)
Draw a diagram of an ellipse. Draw diagonals from (0,b) to (-c,0) and (c,0) The definition of such an ellipse is that the sum of the distances from a point to the foci is constant, and = 2a where a,b,c are described above. Just google any explanation of the definition of an ...
October 11, 2014

math
1.14c = s c = s/1.14 = .877s so, there is a 12.3% markup based on selling price.
October 11, 2014

Algebra word problem
clearly the equation of the arch is y = 20 - ax^2 y(18) = 0, so a = 0.0617 So, y = 20-0.0617x^2 y(9) = y(-9) = 15
October 11, 2014

Math (Word Problem)
The original square has side of length x. So, (x-8)(x-8)(4) = 576
October 11, 2014

College Algebra
rsx^2 + (rt+s^2)x + st = 0 Now just use the quadratic formula: x = [-(rt+s^2)±√((rt+s^2)^2 - 4rs^2t)]/2rs = [-(rt+s^2)±(rt-s^2))]/2rs = (-rt-s^2+rt-s^2)/2rs = -s/r or = (-rt-s^2-rt+s^2)/2rs = -t/s
October 11, 2014

HELP!! Algebra
the smaller the divisor, the larger the quotient. 12/6 = 2 12/4 = 3 12/3 = 4 12/2 = 6 12/1 = 12 12/(1/2) = 24 because there are 24 halves in 12 wholes. When dividing by a number less than 1, the quotient is larger than the dividend. Again, if a slice of pie is 1/6 of the pie, ...
October 11, 2014

Math help
yes. when dividing, it is the same as multiplying by the reciprocal.
October 11, 2014

computer science
64(mod 18) = 10 because 64 = 3*18 + 10 32+10 = 42
October 11, 2014

Math
ln(x+1)/ln(x-1) = 2 ln(x+1) = 2ln(x-1) x+1 = (x-1)^2 x+1 = x^2-2x+1 x^2-3x = 0 x = 0 or 3 check: ln(1)/ln(0) = 2 Not a solution ln(4)/ln(2) = 2 ln(2^2)/ln(2) = 2 2ln2/ln2 = 2 yes
October 10, 2014

Math
log(sqrt(x^2+1)) = 1/5 1/2 log(x^2+1) = 1/5 log(x^2+1) = 2/5 x^2+1 = e^(2/5) ...
October 10, 2014

Math, Help Please IF you can
(a) 5^2 = 25, and we want (3-h)^2 = 25 so, 3-h = ±5 g(x) = (x+2)^2 or (x-8)^2 (b) g(x) = x^2+16 (c) shift right 2 is (x-2)^2 Since (3-2)^2 = 1, g(x) (x-2)^2 + 24
October 10, 2014

math
or, (1 + 3 1/4) : (1 1/4 + 3 1/3) = (4/4 + 13/4) : (15/12 + 40/12) = 17/4 : 55/12 = (17*12):(4*55) = 204:220 = 51:55
October 10, 2014

Math
shift first by 4: x^3+4 then reflect: -(x^3+4) = -x^3-4 -x^3+4 is what you get when you reflect, then shift
October 10, 2014

Math
If m(n) = n^2/2 m(n-1.2) = (n-1.2)^2/2
October 10, 2014

Algebra 2
g(x) = f(x/(3/2)) = f(2/3 x) = |2/3 * 2x| - 3 = |4x/3| - 3 See http://www.wolframalpha.com/input/?i=plot+y%3D|2x|-3%2C+y%3D|4x%2F3|+-+3
October 10, 2014

Algebra 2
g(x) = f(x)/4 = |x/2| - 3/4 See http://www.wolframalpha.com/input/?i=plot+y%3D|2x|-3%2C+y%3D|x%2F2|+-+3%2F4
October 10, 2014

math 11
25000(1+.033)^4
October 10, 2014

Math help 1 question!!!!!!!!
C is correct. A is also, but if they are implying a square root of an integer, then it is false. After all, a/b = √(a^2/b^2) whatever values a and b have.
October 10, 2014

Science
well, the present date is 2014 So, what is 2014-(906±35)?
October 10, 2014

Math
-4 - √(4-x) = 6 -√(4-x) = 10 4-x = 100 x = -96 Unfortunately, this is not a solution, since -4 - √(100) = -4-10 = -14, NOT 6 √100 is NOT ±10. √100 is 10. So, the equation as written has no real solutions
October 10, 2014

Math
Just use Heron's formula: A = √((23)(23-12)(23-16)(23-18))
October 10, 2014

Math
If the angle is θ, the law of cosines says that 36^2 = 15^2 + 25^2 - (2)(15)(25) cosθ
October 10, 2014

math
Assuming that by "updated marks" you mean your average test score, and assuming that the tests are of equal weight, your average is just the average of the scores: (36+53)/2 Why do you append the sentence "It's my first test."? You just told us your ...
October 10, 2014

math
what, no calculator? 2(13.7) = 27.4 27.6/9.8 = 2.7959 √2.7959 = 1.672
October 10, 2014

math
present age of father = x 6 times the age of son = 6y so, we have x = 6y+5y I suspect you meant five more than If so, x=6y+5 If you meant five times as much as, then x=5*6y
October 10, 2014

Math Help
Not much engineering here. Must have been a test post.
October 10, 2014

How long will it take the investment to double?
The initial amount does not matter. You want e^0.048t = 2 t = ln2/0.048 = ?
October 10, 2014

math
f+200m = 122 f+189m = 118.15 Now subtract; the f's go away and you have 11m = 3.85 m = 0.35 Now, I expect you can find f, the flat fee.
October 10, 2014

physics
starting momentum: 1500*36 final momentum: 1500*72 That gives you momentum in kg-km/hr you probably want it in kg-m/s, so you need to convert km/hr to m/s.
October 10, 2014

algebra2
I don't see any fractions. How can there be a denominator?
October 10, 2014

calculus
I think you mean find the second derivative. Do you mean partial derivatives? There are three. Fx = 2e^y + 3ye^-x Fy = 2xe^y - 3e^-x Fxx = -3ye^-x Fyy = 2xe^y Fxy = Fyx = 2e^y + 3e^-x
October 10, 2014

geometry
three non-collinear points determine a plane. So, take any 2 on the first line, and any other from the second line. We know the lines are not skew, so they do determine a plane.
October 9, 2014

Math
10^7 > 10^6, so A and C are out. Now, which number is smaller than 1.8? 1.1 or 6?
October 9, 2014

maths
Assuming that in fact each compartment only holds 14 people, then since 387/14 = 27.6, we have 387 - 14*27 = 9
October 9, 2014

Math
how about 3,3 - 0,1 = 3,2 Something tells me that's not what you had in mind, but you don't give much to go on.
October 9, 2014

Math
just google point-slope form. Lots of explanations out there. I can't believe you are asking this question without having covered linear equations.
October 9, 2014

Math
assuming you want the equation for the line though the points (0,5) and (-3,-4), note that the slope of such a line is 3. So, using the point-slope form of the line, you have y-5 = 3(x-0) or y = 3x+5 Or, using the other point, y+4 = 3(x+3) y = 3x+5
October 9, 2014

Math help Please
well, a common right triangle is 5-12-13. Not sure just how things are set up, since you just give two sides of the table cloth and don't say anything about the third side.
October 9, 2014

Math
Let the numbers be x,x+2 and x+4. x^2 + (x+2)^2 = (x+4)^2 - 7 x = 5 check: 25+49 = 81-7 yes
October 9, 2014

Math
c+2s = 10 3c+2s = 18 so, 2c = 8 c = 4 s = 3 c+s = $7
October 9, 2014

Algebra
hey, come on. Surely you can do -3(3y-4)+4y = -3 -9y + 12 + 4y = -3 -5y = -15 y = 3 Now, x = 3y-4 = 9-4 = 5 Now do #2 the same way.
October 9, 2014

Algebra
Before posting this problem again, take a look at just what you have written. DON'T MAKE A NEW POST. Just fix the mistakes as a new reply to this one! You have given no details about the options. Always review your posting after it is done, and see what the heck you have ...
October 9, 2014

Algebra
<mumble>
October 9, 2014

Algebra
AAAaaarrgh!
October 9, 2014

Algebra 2
mumble
October 9, 2014

ALGEBRA 2
First, fix the typos!
October 9, 2014

Algebra
First, fix the typos!
October 9, 2014

Physics
well, you know that y(t) = 27t - 4.9t^2 y=0 when 27t-4.9t^2 = 0 t = 27/4.9 = 5.51 You are close, but I wonder how you got what you did... Ah. I see you used g = 10 m/s^2, not 9.8 OK, you are correct.
October 9, 2014

Algebra 2
#1 Since y = 34-x, x-(34-x) = 20 2x = 54 x = 27 y = 7 #2 There's a typo. If you meant to say -5x+9y = 11, do a little multiplying to get rid of y: -21x+18y = 33 -10x+18y = 22 -11x = 11 x = -1 y = 2/3 If it was -5x+9y = -11, then x = -5 y = -4
October 9, 2014

Algebra 2
#1 Since x = 3y-4, -3(3y-4)+4y = -3 now just solve for y and then x #2 Since x = 4+4y, -(4+4y) = 4y=-4 or something Again, solve for y, then x
October 9, 2014

Algebra 2
it would help to know just what it is you are after. All I see is a couple of set definitions.
October 9, 2014

Math
The relative max/min occur at x = -2,2 as you said. Since f"(-2) < 0, f(x) has a max at x = -2 (f is concave down) Since f"(2) > 0, f(x) has a minimum at x=2 (f is concave up) f(-5) = -65, so the absolute minimum of f(x) on [-5,2] is at x = -5, but that is just...
October 9, 2014

Math (please check)
It appears to me that you have a product, not a quotient. If f(x) = (t^2 + t^0.5)(t^0.5 - t^-0.5) f'(x) = (2t+0.5t^-0.5)(0.5t^-0.5 + 0.5t^-1.5) = 2.5t^1.5 - 1.5t^0.5 + 1 This can be checked since if we expand f(x), we get f(x) = t^2.5 - t^1.5 + t - 1 f'(1) = 2.5-1.5+1...
October 9, 2014

Calculus
Since both C and P are monthly amounts, I will assume we are looking for the monthly cost per passenger. That would, of course, be C/P = (100+t^2)/(1000+t^2) As you say, (C/P)' = 1800t/(1000+t^2)^2 So, at t=6, (C/P)' = 0.01006246 Close, but I wonder what happened down ...
October 9, 2014

Math! Please check!
correct
October 9, 2014

Math! Please check!
correct Certainly not B: (where the heck is D?)
October 9, 2014

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