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March 26, 2017

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Posts by STEVE

Total # Posts: 49,597

Geometry
Hmmm. I can't seem to make them out ...
February 28, 2017

Math
well, he used the distributive property of multiplication...
February 28, 2017

cal
Nope. Show your work, and we can see what went wrong. Don't forget your Algebra I now that you're taking calculus...
February 28, 2017

cal
recall that the average rate of change on [a,b] is (f(b)-f(a))/(b-a) now just plug and chug.
February 28, 2017

Math - implicit differentiation
5x^2 + 2x + xy = 2 10x + 2 + y + xy' = 0 Now just plug in your numbers and solve for y'.
February 28, 2017

Math
24 kids get evenly bitten by 1152 ants. How many bites did each one get?
February 28, 2017

math 1
so, y = -1 now you can find x.
February 28, 2017

math
1 wafer = 64/4 = 16 grams 3200/16 = ? wafers/box
February 28, 2017

math 1
so, you got x=1 Use that in the other equations and see whether you get the same value of y for each. If so, then that x and y are the solution.
February 28, 2017

Math grade 6
so, what's the volume of one block? ya gotta start somewhere, eh?
February 28, 2017

math
Jim, Bob, Walk-Fast
February 28, 2017

Intermediate Algebra
copy/paste of special symbols doesn't work too well here. On the other hand, parentheses () and +-/* operators work just fine, as does the caret ^ for exponents, as in t^2. Not sure how "​" appears to you, but it...
February 28, 2017

Math
? means the 1/2 power. As with any exponents, powers of powers multiply exponents. ?(3^5) = (3^5)^(1/2) = 3^(5/2) (?3)^5 = (3^(1/2))^5 = 3^(5/2) Now try your problems.
February 28, 2017

Pre Calculus
#1 There are two 8's, so while there are 6! permutations of the six digits, in any one of them, the two 8's can be swapped, and it's still the same arrangements. Same for the 5's. So, there are only 6!/(2!2!) = 180 distinguishable arrangements. The same caveat ...
February 28, 2017

Enough Already!
check your first post.
February 28, 2017

Math
the base has area ?(s(s-a)(s-b)(s-c)) where s = (a+b+c)/2 so the area of the base is ?(15.075(15.075-14.4)(15.075-8.25)(15.075-7.5)) = 22.936 so the volume is 22.936*2.1 = 48.1656 I suspect a typo somewhere. Or I misinterpreted the description.
February 28, 2017

Algebra
well, a = -15 and d = -8 now use the formula for the general term of an AP.
February 28, 2017

math
-14 <= t <= -3 or, |t+8.5| <= 5.5
February 28, 2017

math
how many ounces per pound? So, what is the cost of 1 ounce?
February 28, 2017

Math
y goes down 5 when x goes up 1, so start with y = -5x adjust that, since when x=0, y = -1.
February 28, 2017

math
$0.80/16 * 9
February 28, 2017

Math grade 6
first step: figure the volume of the blocks.
February 28, 2017

maths
what is 25% of 500? for each of 2 kids... for each of 12 months...
February 28, 2017

math
That's only 4 angles. You know they add up to 540°, so figure out the 5th angle, and add 'em up, solve for x.
February 28, 2017

math
if you can do 2/3 - 3/7 you can do this. Just place over a common denominator.
February 28, 2017

calculus
2?[0,1] 2/(x^2+1)-x^2 dx
February 28, 2017

calculus
If you sketch the region, it should be clear that dx is the way to go.
February 28, 2017

calculus
I would integrate along dy, since the boundary changes at x=1 That makes the integral easy: ?[2,5] (y^2/4 - (3-y)) dy If we integrate along dx, then we need ?[-2,1] 5-(3-x) dx + ?[1,25/4] 5-2?x dx
February 28, 2017

Math
None is true as things are written ?-27 = -3 and two complex roots ?81 = ±3 and two complex roots 3?-1000 = 30?-10 = 30?10 i 4?-16 = 4*4i = 16i
February 28, 2017

Math
yes, I'm sure someone does.
February 28, 2017

Math
well, 10^2 = 100 11^2 = 121 ...
February 28, 2017

Math
just add exponents. If it winds up negative, it's in the denominator. #3: (4^-1)(3^-1) = (4*3)^-1 = 12^-1 = 1/12
February 28, 2017

Math
well its 24 heavier/ lighter from riandrop to electron vice versa.... so its 24 orders of magnitude
February 27, 2017

Algebra
10^(-3) = 1/0.001 × 1 meter 1/0.001 = 1000
February 27, 2017

Algebra
if a slice of pizza is 1/8 of a pizza, how many slices are there in a whole pizza? an ant is 1/1000 as long as a human, so ...
February 27, 2017

Calculus
if the car has gone x miles, the distance z to the farmhouse is z^2 = x^2 + 36 so, find z(10) and then z dz/dt = x dx/dt and plug in your numbers.
February 27, 2017

Calculus
the shadow's length is changing at dx/dt. the tip of the shadow is moving at dy/dt + dx/dt
February 27, 2017

Calc
since |sinx| <= 1, 0 < sin^10(x) e^-x <= e^-x since ?e^-x dx converges so does this one.
February 27, 2017

math
1/8 * 12 = ?
February 27, 2017

math
8*(4/10) ft * 10*(4/10) ft = 12.8 ft^2
February 27, 2017

Math
rise/run = 1.5/12
February 27, 2017

Pre Calculus 30
think about it. For every combination of 3 letters (26^3), there are 900 ways to choose the following 3 digits.
February 27, 2017

Pre Calculus 30
1. ok 2. ok 3. 26^3 * 9*10^2
February 27, 2017

math
well 15 = 5*3, so she can make 3 * 2/3 gallons or, x/15 = (2/3)/5 = 2/15
February 27, 2017

physics
you have two sides (speed * time) and the included angle. So, use the law of cosines.
February 27, 2017

Math

February 27, 2017

alegebra
(6060/100100)*299299 = 90597/5 = 18119.4 or, about 6/100 * 300300 = 18018
February 27, 2017

Math
11h+6
February 27, 2017

Math
55 + 0.08*225 = ?
February 27, 2017

MATH
well, 65 = 50+15, so ...
February 27, 2017

Math
600*0.80*1.20 = 576
February 27, 2017

math neeeeed help plez help
come on - corresponding sides are equal. Match up the letters in order. Hmmm. I suspect a typo.
February 27, 2017

calculus
so, do the math! what is dv/dx?
February 27, 2017

calculus
the volume v is v = x(7-2x)(11-2x) = 4x^3-36x+77x so, find x where dv/dx = 0
February 27, 2017

Math
multiply the numbers. add the exponents for each variable. Review your material on rules of exponents!
February 27, 2017

Math
?(16^2-4^2) = ?(256-16) = ?240 = 15.49 So, it is 15.5
February 27, 2017

Math
200 is not a perfect square! It is 2*10^2 7. READ THE QUESTION: How tall is the utility pole, to the nearest tenth? Not an integer! What calculation did you do?
February 27, 2017

Math
1. ok 2. if the number terminates as shown, then it is rational 3. 250 is not a perfect square. It is 10*5^2 5. ok 7. nope. 16 is not even the closest integer.
February 27, 2017

Math 10
9?2 = ?(81*2) 2?6 = ?(4*6) 8?3 = ?(64*3) 4?5 = ?(16*5) 6?2 = ?(36*2) I'll let you finish off.
February 27, 2017

math
I am shocked to see your first try. v(t) is a function. it is v of t, not v times t!
February 27, 2017

SCIENCE
KE gained = PE lost
February 27, 2017

maths
f(x) = (1+3x^2)^(1/3) / x f'(x) = ((1/3)(1+3x^2)^(-2/3) * 6x)(x) - (1+3x^2)^(1/3)(1) ---------------------------------------------------- x^2 -(x^2+1) ------------------------- x^2 (1+3x^2)^(2/3)
February 27, 2017

Math geometry
1) the base angles are equal, so (50-x)^6 = (30x-12)^6 50-x = 30x-12 ... Find x, evaluate the angles, and subtract them from 180 2) I assume you mean lengths. If they are b and B, 8(b+B)/2 = 52 3)The medians of a triangle meet 2/3 of the way from a vertex to the opposite side...
February 27, 2017

physics
horizontal distance or vertical distance? You need to provide a bit more context. For a nice discussion of any trajectory, see https://en.wikipedia.org/wiki/Trajectory
February 27, 2017

math
1:5 = 2:10
February 27, 2017

Math
h = 1/f h' = -1/f^2 f'
February 27, 2017

Math
the slope of the line is 1. So, you want the slope of the tangent to be 1. f'(x) = 6x^2-24x+19 = 1 x = 1,3 check: f(1) = 9 f(3) = 3 So the tangent lines are y-9 = x-1, or y=x+8 y-3 = x-3, or y=x the graphs are at http://www.wolframalpha.com/input/?i=plot+y%3D2x%5E3%E2%88%...
February 27, 2017

Calc
dy = (2x-7) dx so, ?x ? (2x-7) ?x
February 26, 2017

Maths, triangle trigonometry
draw a diagram. If the two lighthouses are at S and N, and the ship moved from A to B, then let the east-west distance moved by the ship be x. x = 5cos20° SN = x tan50° - x tan10°
February 26, 2017

Maths, triangle trigonometry
It's handy to think of P,R and Q as complex numbers, with P=(0,0). Find Q-R and then convert to polar form.
February 26, 2017

Physics
the horizontal speed is constant: 20 cos39° The vertical position is (20 sin39°)t - 4.9t^2 so, figure how long it takes to go 55m, then use that to get the relative height at that time.
February 26, 2017

Physics
If the height is h, then the vertical position y at time t is y = h - (9.4 sin21°)t - 4.9t^2 y(6) = 0, so you can find h. the horizontal speed is constant: 9.4 cos21° Now you can answer the questions.
February 26, 2017

math
First off, your distance is wrong. You must have used some bogus formula. d^2 = (5+3)^2 + (2+4)^2 = 100 d = 10 Since that is the distance from the center to a point on the circle, it is the radius. ...
February 26, 2017

math NEED HELP ASAP
add up the juice amounts: .65x + .90(150-x) = .75(150) ...
February 26, 2017

math
add up the vinegar in each part: .06x + .11(250-x) = .09(250) ...
February 26, 2017

Math
the coefficient of x^5 is negative. So, for x large negative, f(x) is large positive for x large positive, f(x) is large negative The lower powers don't matter for end behavior.
February 26, 2017

math
make a table for t=1 to 5. The annual cost is 1: 300-5 = 295 2: 300-10 = 290 3: 300-15 = 285 4: 300-20 = 280 5: 300-25 = 275 just add them up. Hmm. Maybe you just use t=5 for all 5 years. In that case, the annual cost is 275, so the total would be 5*275 = $1375 How did you ...
February 26, 2017

Math
recall that cos^2 x = (1+cos2x)/2 so, cos^4 x = (1+cos2x)^2/4 now cos^2 2x = (1+cos4x)/2 and so on. In the end, you get sin^8(x) = 1/128 (cos8x - 8cos6x + 28 cos4x - 56cos2x + 35)
February 26, 2017

Pam
x^2 is never less than zero, so f(x) is never less than -3. The vertex is at (0,-3) In general, f(x) = ax^2+bx+c has its vertex at x = -b/2a f(x) = a(x-h)^2 + k has its vertex at (h,k). In this case, h=0 and k = -3, so the vertex is at (0,-3)
February 26, 2017

Pam
The 3 is tiny, but the curve does not approach the line y=x. It gets arbitrarily close to the line y=x+3.
February 26, 2017

Pam
While the asymptote is a sloping line, and it looks like it ought to be x+11, it is not. (x^2+11x+16)/(x+8) = x+3 - 8/(x+8) So, the asymptote is actually the line y=x+3
February 26, 2017

Pre-algebra
If the cut is x inches, then the length and width are reduced by 2x, and the height is x. So the volume is v = x(40-2x)(20-2x) = 4x^3-120x^2+800x I can't believe that finding the maximum value of such a function is a topic for pre-algebra! It requires either analysis of a ...
February 26, 2017

math
?r^2h = 2800, so h = 2800/(?r^2) So, the cost function is c = 2*3?r^2 + 4*2?rh = 6?r^2 + 22400/r now just find r when dc/dr=0 and use that.
February 26, 2017

@Ms algebra
No "|" key on your keyboard, Ms?
February 26, 2017

Algebra
well, start with time = distance/speed
February 26, 2017

math
L(L-2) = 20
February 26, 2017

math
clearly, r = 2/5 now just use your formula.
February 26, 2017

Maths
If you meant to solve 18m^2-8m = 0 just factor out 2m: 2m(9m^2-4) = 0 2m(3m-2)(3m+2) = 0 your steps make no sense; you have discarded factors, changed signs, etc. Pay attention to what you're doing!
February 26, 2017

maths
find the angle between the headings (not bearings!) use the law of cosines for the third side.
February 26, 2017

Maths
sorry, that's n(n+1)/2 So, you have (n+1)(n+2)/2
February 26, 2017

Maths
I expect the differences are 3,4,5,6,7,... Did you know that 1+2+3+...+n = n(n-1)/2 ?
February 26, 2017

MATH NEEDS HELP NOWw
Did you take a look at the terms? 1, 1, 0, 0, ...
February 26, 2017

maths
consecutive angles add to 180. Looks to me like the two acute angles are 70° each.
February 26, 2017

physics
h(t) = 5t - 4.9t^2 max height at t=5/9.8 so, figure h at that value of t. Total distance is that height up, then back down.
February 26, 2017

maths
If you have a protractor, this should be easy.
February 26, 2017

calculus
arctan x = x - x^3/3 + x^5/5 - ... so, x-arctan(x) = x^3/3 - x^5/5 + x^7/7 - ... divide by x^3 and you get 1/3 - x^2/5 + x^5/7 - ... as x->0, that -> 1/3
February 26, 2017

calculus
surely you recognize the sequence 1, 3, 6, 10, ... as n(n+1)/2 it is the sequence of partial sums of 1+2+3+4+...
February 26, 2017

Calculus
a = xy da/dt = y dx/dt + x dy/dt d^2 = x^2+y^2 Now just plug in your numbers (I used x and y instead of w and l, since the l looks like a 1)
February 25, 2017

Calculus
xy = 12 y dx/dt + x dy/dt = 0 Now just plug in your numbers and solve for dy/dt
February 25, 2017

Algebra 2
Since the domain of ?x is x>=0, you will need (x-3) >= 0. That is, x >= 3. So, plug in some values of x and plot the points for y=-?(x-3): x y 3 0 4 -1 7 -2 12 -3 ... It will look like the bottom half of a horizontal parabola with vertex at (3,0). The equation could ...
February 25, 2017

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