Saturday
December 3, 2016

Posts by Steve

Total # Posts: 46,781

Math
Read what you posted. Fix it so it makes sense and try again.
November 9, 2016

algebra
(L-5) = 1/4 (K-5) L+K = 110 Now just solve. wait -- by 1/4 as young, do you mean 4 times as old? That could be a game changer...
November 9, 2016

math
as always, 2 times (length+width) = 24 ft + 84 in.
November 9, 2016

math
4/5 as much gas means 5/4 as much distance
November 9, 2016

MATH
well, twice the distance would be 2 inches, right? You have (375/200) times the distance, so ...
November 9, 2016

math
well, start with n Then n+12 then 2(n+12) then ... finally, solve the equation for n
November 9, 2016

Pre Calc
twice what amount? Read what you posted, and fix it so it makes sense.
November 9, 2016

Maths
(12000/400) * 9/4 minutes
November 9, 2016

Maths
5.14999999999999999999999999999994
November 9, 2016

math
342/14 round up if needed.
November 8, 2016

Algebra 2
well, did you graph the lines of the constraints, and shade the appropriate areas? This web site will solve the problem and even graph the solution if you want: http://www.zweigmedia.com/RealWorld/LPGrapher/lpg.html
November 8, 2016

Math/algebra
one expression is 10+5h
November 8, 2016

Calculus
You forgot the chain rule. F'(x) = ?(1+(x^2)^3)*(2x) - ?(1+x^3)*(1) F'(4) = ?(1+4096)(8)-?(1+64) visit this url and scroll down about halfway -- there is a good example with variable limits of integration. https://en.wikipedia.org/wiki/Leibniz_integral_rule
November 8, 2016

math
if the fractional part is less than 0.5, round down.
November 8, 2016

Math
2(2.5+2*.3 + 1.2+2*.3) = 9.8m or, the original perimeter plus two sides of each of the the four 30cm squares on the corners: 2(2.5+1.2) + 4(2*0.3) = 9.8
November 8, 2016

math
If the initial deposit was x, then compare the interest: .06(x+12000) = .05x + 1100 x = 38000
November 8, 2016

math
(3 3/4)(1 5/6) = 6 7/8
November 8, 2016

Maths
330m/s * 6s = 1980 m
November 8, 2016

intermediate algebra
since time = distance/speed, 24/s = 19/s + 1
November 8, 2016

Maths
total parts water: 2+3 total parts vinegar: 1+1 final ratio is 5:2
November 8, 2016

math
61
November 8, 2016

Physics
W = J/S = N-m/s So, in t seconds, 250*9.8*25/t = 4000
November 8, 2016

Calculus AB - PS
Rats. I made a typo near the top of #2. dy/dt = 1/(3?x^2) dx/dt (a) at x=8, 1 = 1/(3*4) dx/dt so, dx/dt = 12 at x=8, not 6. You will have to use that in the other parts. Also, in part (c) I made a typo. It should be sec^2? d?/dt = (-2/3)x^(-5/3) dx/dt, so d?/dt = -36/160
November 8, 2016

Calculus AB
(a) If the man is x feet from the light pole, and his shadow has length m, then using similar triangles. (x+m)/30 = m/6 In like wise, if the child's shadow has length c, then (x+10+c)/30 = c/3 So, we need to show that x+m > x+10+c when x=90 90+m=5m 90+10+c = 10c m=90/4...
November 8, 2016

geometry
Just like all the related questions below, The x,y distances from E to F are (10,-5) If G is 1/5 of the way from E to F, add 1/5 of the difference to E. G = (-4,9)+(2,-1) = (-2,8) If G is at the other end, subtract those values from F.
November 8, 2016

Math
(3.5)(2 2/5)(2.5-0.25) = 18.9 m^3 and it was probably concrete, not cement...
November 8, 2016

math fraction
It would look like a handful of candies, 1/3 of which were red. If there were n M&Ms, then n/3 would be red.
November 8, 2016

Science
If you've ever dropped sodium into water, you know that the reaction is violently exothermic.
November 8, 2016

Maths
f^2/g^2 = f^2 g^-2
November 8, 2016

Math
If the sum starts at the (k+1)st odd number, its sum is (k+288)^2 - k^2 = 576k + 82944 When k=432, the sum is 331,776 = 24^4 How you'd find that algebraically I have no clue.
November 8, 2016

Math
Since ??F = 8yk ? 0, F is not conservative.
November 8, 2016

Math
Did you not read what I wrote? g(0) is not defined, so f/g cannot be defined there. But x?0 is not one of the choices, so something is amiss.
November 8, 2016

Math
f/g = (|x|-1)/(1/x) = x(|x|-1) It would appear that the domain is all real x, but since g(0) is undefined, we have to exclude x=0. But x?0 is not one of the choices. Is there a typo somewhere? (f?g)(x) = f(g(x)) f(g) = (|g|-1) = (|1/x|-1) Again, x?0, so you are correct.
November 8, 2016

Feelings
about average
November 8, 2016

Math
You really need to start using parentheses online, to make things clear: 3/(x^2+x-2) - 1/(x^2-1) = 7/(2x^2+6x+4) Set everything over a common denominator of 2(x-1)(x+1)(x+2). Then, excluding the values of x = -2,-1,1 You just need to find 9-3x = 0
November 8, 2016

maths
(7/2)/(1/4) = 7/2 * 4 = 14 There are 7 half-liters. Each one contains 2 1/4-liters.
November 8, 2016

Calculus
Always be on the lookout for trick questions... Develop your inner laziness!
November 8, 2016

Calculus
Note that the series is collapsing. All the terms except the first and the last cancel out! (1/4 - 1/5) + (1/5 - 1/6) ... + (1/99 - 1/100) = 1/4 - 1/100
November 8, 2016

algebra
see related questions below. Add up your total so far. How many more to have 5*88 at the end?
November 8, 2016

Math
You are correct, but why list the values twice?
November 8, 2016

Math
Do you mean F(x,y) = e^(2x) + x^(2)yi + e^(2y) ? xy^2 j ? If so, then F•dr = (e^(2x) + x^2y) dx + (e^(2y) ? xy^2) dy That makes My = x^2 Nx = -y^2 ?F.dr = -??x^2+y^2 dy dx Using polar coordinates, that is just -??r^2 * r dr d? inside the circle: r = [0,2] ? = [0,2pi]
November 8, 2016

Differential calculus
Since the distance from the vertex to the directrix is 4, then the standard parabola x^2 = 4py has p=4. So, with the translation of the vertex to (3,-4), and the directrix above the vertex, the parabola opens downward, so the equation is (x-3)^2 = -16(y+4) confirmed at http://...
November 8, 2016

Algebra
well, x = 5y-19 use that in 7x-2y=32
November 8, 2016

math
2x^-5 = 2/x^5 2x^(-3/4) = 2/x^(3/4) a negative exponent just means shifting the value between numerator and denominator. Note that this also means that 2/x^(-2) = 2x^2 since that is 2 / (1/x^2) = 2 * x^2/1 = 2x^2
November 8, 2016

Calculus
Just substitute 6 for 1.8 in your time function. You will find that the shortest time is to boat all the way. A little analysis will show you that if the boat is faster than the running, the boat is the best way. If the ratio of the boat:run speed is k, then the distance ...
November 8, 2016

science
depends how far it slides. Just note the change in PE: mgh
November 8, 2016

Math
suppose that you allow 0/0 = x for some value x. Then, clearing fractions, 0 = 0*x But that is true for any value x. That is why 0/0 is not defined.
November 8, 2016

Geometry
Looks good.
November 8, 2016

geometry
see your other postings under different names.
November 8, 2016

math geometry
Mixing up problems, aren't you? Anyway, C's x-value is 3/7 of the way from 2 to 16. And try using the same name for all your postings.
November 8, 2016

geometry
X is 2/7 of the way from M to N. So, X's y-value will be 2/7 of the distance from 3 to 10. ...
November 8, 2016

Math
Note that the dog years grow by 4 for every increase of 1 human year. So, using the hint, so that at x=2, (x-2)=0, y = 4(x-2)+23
November 8, 2016

Geometry (Please check my work)
M->M', so the scale is 2/6, not 6/2
November 8, 2016

Oral Literature = Oxymoron!
!!
November 8, 2016

Calculas-Differentiation
I'll help you with the calculus: y'(x) = x-4 The rest is just Algebra I.
November 8, 2016

math
a+b+c
November 8, 2016

math
clearly its area is ?(x-1)^2 m^2
November 8, 2016

Calculus
If the cuts are length x, then the volume is v = (24-2x)(45-2x)(x) = 4x^3 - 138x^2 + 1080x dv/dx = 12x^2 - 276x + 1080 = 12(x^2-23x+90) = 12(x-18)(x-5) You can take it from there ...
November 8, 2016

math
how many in each pack
November 8, 2016

Basic Calculus
2(width+length)=240 width+length = 120 width = 120-length area = length*width = length*(120-length)
November 8, 2016

dynmic
a = s" = 4 F = ma
November 8, 2016

algebra
what? reposting after 11 minutes? What a waste of time for all.
November 8, 2016

algebra
you change the direction of the inequality when multiplying by negative values. This is just a shorthand way of moving terms from one side to the other: -2/5x - 9 < 9/10 -9 < 9/10 + 2/5x -9 - 9/10 < 2/5 x -9.9 < 2/5 x -9.9 * 5/2 < x -24.75 < x This is the ...
November 8, 2016

math
just use your formulas! ar^2 = (a + ar)/2 2r^2 = 1+r (2r+1)(r-1) = 0 Now you have r and a, and S = a/(1-r)
November 8, 2016

time speed and distance
A went 210 km in 3.5 hr (11:30) A stopped till 11:58 A then went on. So, A's position x in terms of time elapsed from 8:00 is x = 60t for 0 <= t <= 7/2 210 for 3.5 <= t <= 3 29/30 210+60(t-3 29/30) for t > 3 29/30 A reached Q at 11:58+0:55 = 12:53 B's ...
November 7, 2016

calculus
Did you draw the lines? You have a rectangle and a trapezoid. Surely you can handle that. Or, you can think of the figure as a small triangle and a large triangle.
November 7, 2016

Calculus
there are many Riemann Sum calculators online. google is your friend
November 7, 2016

geometry
You want E to be 3/4 of the way from C to D. So, for both x and y, you want to go 3/4 of the distance from C to D. The x-coordinates differ by 8 The y-coordinates differ by 4 So, you want to add (6,3) to C, making E=(1,2)+(6,3)=(7,5)
November 7, 2016

Algrebra, Graphs, Math
The equation represents a line. Two points determine a line. The easiest two points to find on the line are the axis intercepts. When x=0, y=3 When y=0, x=3 So, plot the points (0,3) and (3,0) and draw a line through them.
November 7, 2016

precalc
area of a sector is a = 1/2 r^2 ? so, the area is 1/2 ?(123/180) (24^2-3^2) = 608.6 in^2
November 7, 2016

pre-calculus
Po e^(20k) = 900 Po e^(30k) = 1600 e^(10k) = 16/9 k = 0.019 And you can take it from there, I assume.
November 7, 2016

Math
(1+r/100)^r = 1/9 no real solutions. Let's try simple interest: (r/100)*r = 1/9 r^2 = 100/9 r=10/3 = 3.33%
November 7, 2016

math last question asap ples :P
B: 5-12-13 is a right triangle since 5^2 + 12^2 = 13^2
November 7, 2016

pre-calc.
also, this is just the change of base formula, so ln(100)/ln(10) = log10100 = 2
November 7, 2016

math
41÷3 is a single value. Nothing can be "between" it Now, if you want two quotients with 41÷3 between them, then surely you can use 40÷3 and 42÷3 I think you need to review the problem and fix your posting.
November 7, 2016

calculus
Just use the power rule and the chain rule. y = u^n dy/dx = n u^(n-1) du/dx Now just plug in your u=2x+2 and crank it out. I might even go ahead and simplify it to y = 2^3 (x+1)^3 = 8(x+1)^3 Then du/dx = 1
November 7, 2016

Math
3 + 6*4 + 3 or 3 + 6*(4+3) the language is ambiguous
November 7, 2016

Calculus
Well, come on - is it Precal or calculus? Answer - It's Algebra 2. And stop reposting right away under a new topic, ok? What a waste of time. |a+bi| = ?(a^2+b^2)
November 7, 2016

algebra 2
That's "perform" I'll assume you know how to add and multiply polynomials for A-D. f(g) = 5g^3-2g = 5(3x^3)^3-2(3x^3) = 135x^9-6x^3 g(f) = 3f^3 = 3(5x^3-2x)^3 = 375x^9-450x^7+180x^5-24x^3
November 7, 2016

geometry
If the length is x, then 2*4*5 + 2*5x + 2*4x = 166 Now just solve for x
November 7, 2016

Pre-Calculus
Recall that |a+bi| = ?(a^2+b^2)
November 7, 2016

Math 062
The proportion is bogus x = 25*50 which is meaningless. You need either gal/gal = tanks/tanks 50/25 = x/1 x = # tanks needed or gal/tank = gal/tank 50/x = 25/1 x = # tanks needed
November 7, 2016

maths help steve&reiny
I guess the math gets a bit tricky, but just note that 97 = 81+16
November 7, 2016

Vectors
ships sail on headings, not bearings. A bearing is the direction of an object from your position. (It may also be your heading, if you are going directly there.) So, can you at least convert those times and speeds to distance vectors? Add them all up x-y wise and figure the ...
November 7, 2016

calculus
Ok, we've done a bunch of these for you. What ideas do you have? I'll get you started with f'(x) = -sin(x) cos(cos(x)) e^sin(cos(x)) The rest is just algebra and trig.
November 7, 2016

pre algebra
just shift the decimal point 5 places to the left.
November 7, 2016

calculus
the line has slope 2. So, a perpendicular to the line will have slope -1/2, which will be the slope of the radius. A line through (0,0) with slope -1/2 is y = -1/2 x. This line intersects the circle at (-2/?10 , 1/?10). Now just find the distance between that point and the ...
November 7, 2016

calculus
y = x^3+2x^2+bx y' = 3x^2+4x+b y'(1) = 3+4+b = 7+b y(1) = 1+2+b = 3+b So the line through (1,3+b) with slope 7+b is y-(3+b) = (7+b)(x-1) y = (7+b)x - 4 y=0 at x = 4/(7+b) So, under what condition will the tangent line(s) not intersect the x-axis? See an example for b...
November 7, 2016

Calculas @Reiny
Hey - everyone needs a hobby ...
November 7, 2016

math
Hmmm. Since there are 21 terms in the expansion, the 11th term is the middle one. Adjust the numbers accordingly.
November 7, 2016

Pre-Algebra
huh? Huh??? y = x/4 when x=40, y = 40/4 Stop guessing and start calculating...
November 7, 2016

Pre-Algebra
3 = 12/4 y=x/4, so ...
November 7, 2016

Physics
1% = 1/100 sheesh!
November 7, 2016

Physics
what, you've forgotten your algebra? Multiply by 100nto lear the fractions: R/n = nR/100 100R = n^2R 100 = n^2
November 7, 2016

Physics
If each resistor has value R, then R/n = nR/100 100 = n^2 n=10
November 7, 2016

Calculas
well, there is a horizontal asymptote at y = -3/4
November 7, 2016

Calculus
looks good. f(x) has a min when f' changes from - to + (f bottoms out and starts back up) That happens at x=2pi
November 7, 2016

maths
a group of 2 and a group of 3 takes 5 students. Clearly, 10 such pairs of groups can be formed.
November 7, 2016

finance
the net savings rate is 8% Now just plug that into your annuity formula with 35 years of deposits and 30 years of withdrawals. Of course, over 30 years, the 4% inflation will markedly reduce his buying power on a fixed income. A better model would provide for an increasing ...
November 7, 2016

Calculas
v = ?r^2h + 2/3 ?r^3 so, h = (v - 2/3 ?r^3)/?r^2 = v/(?r^2) - 2r/3 the surface area is a = ?r^2 + 2?rh + 2?r^2 = 3?r^2 + 2?r(v/(?r^2) - 2r/3) = 5?r^2/3 + 2v/r da/dt = 10?r/3 - 2v/r^2 = (10?r^3/3 - 2v)/r^2 da/dt=0 when 10?r^3/3 - 2v = 0 r^3 = 3v/(5?) and express h in terms of ...
November 7, 2016

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