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oobleck

@oobleck

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I have been thinking about the walking surveyor, and here is a less complicated solution (also, correct, as it happens - the
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I ran across this one the other day. See what you can make of it.Find the integral of e<sup><sup>cosx</sup></sup>sinx -
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2. asked by oobleck
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Answers (17,954)

recall that (a-b)(a+b) = a^2 - b^2 So, you can use that to rationalize the denominator 1/(√15 - 4) * (√15 + 4)/(√15 + 4) = (√15 + 4)/(15-16) = -(√15 + 4) not sure how you came up with "the denominator is the square of 11"
How ever did you arrive at that answer? Do try to be correct when you weigh in, and maybe show some of your work. x^2+x-12 = (x+4)(x-3) x^2+2x-15 = (x-3)(x+5) so the LCM is (x+4)(x-3)(x+5) = x^3 + 6x^2 - 7x - 60
Since 9(x+2)(2x-1) is already a multiple of 3(x+2), it is also the LCM
(√(5u) + 6√v)^2 = (√(5u))^2 + 2√(5u) * 6√v + (6√v)^2 = 5u + 12√(5uv) + 36v
or, you can use the intercept form. If the intercepts are (a,0) and (0,b) then x/a + y/b = 1 y = -2x+7 2x+y = 7 x/(7/2) + y/7 = 1
56 hr/week = 8 hr/day so, in 252 days he works 8*252 = 2016 hours or, since 252 days = 36 weeks, he works 56*36 = 2016 hours
you post lots of answers, but quite a number are incorrect. -7(-1)-3(9-7(-1)) = 7-3(9+7) = 7-3*16 = 7-48 = -41
9-2(4(-4)+5) = 9-2(-11) = 9+22 = 31
1/314
almost 10*4 = 40 10 less than 40 is 30 (10*4) - 10 = 30
clearly, those four "corners" do not lie on the circle, since r^2 + r^2 ≠ r^2\You might try (0,r), (0,-r), (r,0) and (-r,0) though I'm not sure what the "corners" of a circle are. You have found the corners of a square in which the circle is inscribed.
N < 19
log2 (5x - 4) = 4 5x-4 = 2^4 5x = 20 x = 4 ------------------------ P=3485e^0.12t in 2010, t=10, so P=3485e^1.2 = 11571 3485e^0.12t = 50000 e^0.12t = 14.347 0.12t = ln14.347 = 2.663 t = 22.196 so A is correct
all the halogens have 7 valence electrons
4/10
all the angles will be either 150º or 30º It shouldn't be hard to tell which.
2/3 * 345 * $13.95 = $_____
place the center of the ellipse at (0,0) and you have its equation as x^2/25^2 + y^2/20^2 = 1 so now just find x at y=10, and double it.
since the whole circumference is 40π cm, each slice has 1/8 of that, or 5π ≈ 15 cm 30cm is thus about 2 slices
Let u = 3x-8, du = 3dx ∫[2,5] (3x−8)^4 dx = ∫[-2,7] 1/3 u^4 du
a+b = 108 b+c+d = 180 a+b+c+d = 5b solve to get b=48
8/12
what is it is a question is?
F = kx, so k = F/x = 10N/120mm = 10/0.12 N/m
no such compound
assuming you meant f(x) = 3 ln x + ln x^8 + 7e^x then that's the same as f(x) = 3 lnx + 8 lnx + 7e^x f(x) = 11 lnx + 7e^x so f'(x) = 11/x + 7e^x
good answers -- I guess. It would be nice if they were actually legible.
1.5ton * 2000lb/ton * 1kg/2.2lb = 3000/2.2 kg
m/(5*4)
of course. The quadratic formula always works.
reflection: -8x vertical compression: (1/4)(-8x) g(x) = -2x
(a) revenue = price*quantity, so the BEQ is when C(q) = R(q): 600000+8q = 10q (b) since q=0, the cost would be 600,000 (c) good to shut down if C(100,000) > R(100,000)
I don't mind helping to find answers, but I resent having to provide the questions as well.
P = 6 * 7/8
don't bother -- if you can't trust her, the marriage is doomed. End it now.
6*98 = 588 so 98 6¢ stamps will be 3¢ short. So instead, buy 97 6¢ stamps, plus 1 9¢ stamp to make up the difference.
just keep adding 7
#3. if the cost is P, then the amount after x years will be P * 1.057^x #3 gives you the present value P of the CD. S just subtract.
so, they gave you the formula for the cost, right? so just do what they say -- set them equal and solve for the time. Still stuck? how?
#1. after x years, her salary is 50000+3500x #1 her salary is 50000 * 1.035^x so plug in your numbers
so, in the 6 hours since you last posted this, have you made any headway in the solution? (a) solve -16t^2 + 1800 = 1000 (b) solve -16t^2 + 1800 = 950 surely, knowing what you do about parabolas, you can determine the range, since the vertex is at (0,1800)
after w weeks, Sam: 18+4w Lew: 30+3w see what you can do with that.
I don't mind helping to find answers, but I resent having to provide the questions as well.
assuming you mean a vertical stretch, then that would be 4
just solve −4.9t^2+30.5t+8.8 = 0 in the usual way
w(w+3) = 154 11*14 = 154
not sure just what "A quantity P is partly varies inversely" means, but let's go with p = a + k/q Now, to find a and k, just use the given values, and solve a + k/1.5 = 10 a + k/1.25 = 20
??
probably displacement
in MKS units, Newtons
as before
subtract 29 and divide by 6
well, 3-10 = -7, so ...
semiquaver
you have a set of (x,y) pairs The domain is the set of all the x-values The range is the set of all the y-values not a function, because x=2 appears more than once.
well, 9(2x+5) = 9(2x)+9(5) = 18x+45
when adding fractions, use a common denominator, as in 3 1/4 + 2 1/5 = 3 5/20 + 2 4/20 = 5 9/20
6 + 3*38 = ____
impatient much? Once is enough, thank you. Repeated postings will not get faster or better responses.
the ratio is 18/12 = 3/2 so the other two lengths are 3/2 * 6 and 3/2 * 8
clearly, you have some typos. Fix them, and just add the two temperatures.
f(x) = -(x+2)(x-5) so the area is ∫[-2,5] (-x^2+3x+10) dx = 343/6
the average value is 1/2 the area above
surely you can see that 4/9 is greater than 2/9
S e e h o w a n n o y i n g v e r t i c a l t e x t i s ?
1 + 0 = 1
12/108 + 9/108 = _____
google the topic
as with the money problem, count the numbers and the costs: x+y = 6 6x+12y = 60
count the bills and the amounts: x+y = 15 x+5y = 55
sure looks like C to me why?
sew sew
if h is a root, then (x-h) is a factor, so y = (x+2)(x+3)
which one can change? That's variable.
distance = speed * time so plug in your numbers
Just use your usual formulas. (a) πr^2 (b) 2πr^2 (c) πr^2 + 2πrh + 2πr^2
aA+bB+C = a(6i-8j) + b(-8i+3j) + 26i+19j So, that means you need to solve 6a-8b+26 = 0 -8a+3b+19 = 0 Now finish it off
teenager = (12 < age) && (age < 20)
depends on the diameter of the drum. For diameter d, each turn moves πd
just use your distance formula: (3-2)^2 + (7-k)^2 = (9-2)^2 + (11-k)^2 k = 15 or, note that the line through (3,7) and (9,11) is y = 2/3 x + 5 The perpendicular bisector of that segment is y = -3/2 x + 18 when x=2, y=15
Once is enough, thank you. Repeated postings will not get faster or better responses.
-(-6) = +6
pred. noun read up on linking verbs
144 = 12 dozen, so 4 * 3 1/4 = 13 cups
juice: 1/3, leaving 2/3 water: 1/4 * 2/3 = 1/6, leaving 1/2 for soft drinks #2. 1/2 * 48 = ____
assuming you meant "due south", then if you draw a diagram, you can see that the distance is 100 cos35⁰
9*35 + 185 = ___ g
If there were x fruits, then o = 2/5 x a = 2/3 m now, m+a+o = x m + 2/3 m + 2/5 x = x 5/3 m = 3/5 x m/x = 9/25 = 36%
what is the density of ethanol? If it is x g/mL, then 1.0ml * x g/mL * 1drop/0.60g = ____ drops
really? There are only three to choose from. commutative
with diameter d, each turn will move C=πd so plug in your numbers
(A) 5/3 the stretch, so 5/3 the force (B) 5/2 the force, so 5/2 the stretch
-48/28 + 217/28 = ____
No witches lived in the South.
10*4 = 40, 10+4 = 14
x/25 = 15/6 x = 25/6 * 15 = ____ N
I don't mind helping to find answers, but I resent having to provide the questions as well. and your keyboard has a perfect;y good x key -- why not use it?
well, C = πd, so ...
C
4^2 - 2 (3 x 5 -1) 16 - 2(15-1) Now finish it off

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