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March 26, 2017

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Posts by steve

Total # Posts: 49,621

Calculus
you have integral x^(1/3) dx by the power rule, that is (3/4) x^(4/3) + C Choice A is correct. In fact that is your answer, but you did not recognize it! It's always sad to get a question wrong, but to miss it when you got it right is tragic.
February 23, 2017

Math - Derivatives
huh? Let's take f=1/u. (Let u=x+1 or u=x-1) f = 1/u = u^-1 f' = -1 u-2 f" = (-1)(-2)u-3 ... fn = (-1)nn! u-(n+1)
February 23, 2017

Math - Derivatives
so, did you even think about the hint? 2x/(1-x^2) = 2x/((1-x)(1+x) = -[1/(x+1) + 1/(x-1)] The nth derivative of 1/(x+1) and 1/(x-1) is easy to figure, right?
February 23, 2017

math
well, f(0) = d so, d = -18 no idea on the values of a,b,c ... You need more information.
February 23, 2017

math
f = x^3+x^2+bx+18 f' = 3x^2 + 2x + b f'(1) = 3+2+b = 5+b Since y = -8x+20 is tangent at x=1, it has the same slope as the curve there. So, 5+b = -8 b = -13 I have no idea where a comes into play, but maybe you can work it in and include it in the solution.
February 23, 2017

math
10% discount means he paid 90%. Total cost of the goods is 1.25 * 42000 + 10*22000 = 272500 He paid 90% of that, which is 0.90 * 272500 = ?
February 23, 2017

value
many people attend.
February 22, 2017

precalculus, complex numbers
This problem is discussed here: http://math.stackexchange.com/questions/2144834/let-alpha-omega-omega2-omega4-and-beta-omega3-omega5 google is your friend. Try using it.
February 22, 2017

Math
4 small cubes will fit into a 1-ft length. So, 4^3 = 64 small cubes will fit into each cubic foot. 64*77 small cubes fit into 77 ft^3. Assuming the dimensions of the large solid are multiples of 3 inches ...
February 22, 2017

Math
at least 40" tall means that h >= 40 So, those who cannot ride are less than 40, or h < 40 Not <= 40, since the 40" kids can ride.
February 22, 2017

maths
you can construct a right angle by constructing a perpendicular bisector. Or, google will show you many other ways. Then just measure your distances.
February 22, 2017

Math. Fair race project help!
Looks to me like man: 45t the anime elk is just a cartoon, so its speed doesn't matter ... why the emphasis on a fair race? Is someone cheating?
February 22, 2017

Maths
7/2 (2a+6d) = 13/2 (2a+12d) 7a+21d = 13a+78d 6a + 57d = 0 2a + 19d = 0 S20 = 20/2 (2a+19d) = 0
February 22, 2017

Maths
If you mean log(9^3/4^3), it is certainly not log2 If not, try fixing it up with real math notation, so we can see what you do mean...
February 22, 2017

math
see related questions below.
February 22, 2017

Differential equations,Calculus
yes, c=k, so if k = 5?/4, t = k (1 - 1/r) = 5?/4 (1 - 1/r)
February 22, 2017

maths
huh. the numbers are 5x and 7x, but 7 does not divide 120. ???
February 22, 2017

computer programming
for i=1 to 10 read n[i] for i=10 to 1 step -1 print n[i] Or, if you don't like counting down, for i=1 to 10 print n[11-i] or, depending on the language, the array may be 0-based, but you can allow for that.
February 22, 2017

Math
density is people/mi^2, so just divide the population by the area...
February 22, 2017

Algebra
so, it is 10^6 as big, or a million times.
February 22, 2017

Physics
conserve momentum: 0.5*10 + 0.5*0 = (0.5+0.5)*v And Lose All Of Those Ridiculous Capital Letters!
February 22, 2017

math
Note that each fraction is of the form n/(2n+1) This can be written as 1/2 - 1/(2(2n+1)) clearly, as n gets larger, a smaller amount is subtracted, so the fraction with the largest denominator is the largest -- closer to 1/2
February 21, 2017

parabolas
42
February 21, 2017

Calculus
let x = 4tan? ?(16+x^2) = 4sec? dx = 4sec^2? d? it gets much simpler.
February 21, 2017

Calculus
let x = 5 sec? dx = 5 sec? tan? ?(x^2-25) = 5 tan? x^2 = 25 sec^2? Things will get much simpler.
February 21, 2017

Algebra
the angles are x, 4x+2, 3x-6 they add up to 180, so ...
February 21, 2017

Math
note the pattern. 9 is 8+1, so: 9*1 = 8*1 + 1 9*2 = 8*2 + 2 ... 9*7 = 8*7 + 7
February 21, 2017

Algebra
If it takes Joe x minutes alone, then 1/35 + 1/x = 1/15
February 21, 2017

Statistics
they are doomed -- Doomed!
February 21, 2017

math
well, 15-5 = 10 is 10 < 5 ?
February 21, 2017

math
both correct.
February 21, 2017

Math derivatives
(f?g) = f(g) so, (f?g)' = df/dg * dg/dx (f?g)(2) = f'(g(2)) * g'(2) = f'(4) * g'(2) = 8*6 = 48 if you're still unsure, use an example f(x) = sin(x) g(x) = x^2 (f?g)(x) = sin(x^2) (f?g)' = cos(x^2) * 2x and the logic above makes sense
February 21, 2017

Algebra
3.96/16 = .2475 direct variation has a relation written as y = kx tax = .2475 * price
February 21, 2017

Come on
I think you need to provide a bit more context in your posts. They make no sense as written
February 21, 2017

math
what is s? the number of sales? If so, income is selling price * # tickets: inc = x(1800-140x) profit = income - expenses, so ...
February 21, 2017

Science
it stays constant
February 21, 2017

Algebra/Math
b/2
February 21, 2017

Math
did you actually read the Remainder Theorem? It says that the remainder when P(x) is divided by (x-a) is P(a). So, you want to just plug in -3 for x. P(-3) = (-3)^4-9(-3)^3-5(-3)^2-3(-3)+4 = 81+243-45+9+4 ...
February 21, 2017

Math
(36/8) * 2 = ?
February 21, 2017

Maths
2^2 * 2^3 = 2^5 = 32
February 21, 2017

Math
This appears to be a problem involving direct variation. So, you know that the equation will look like v = kt k represents the rate of fill, in liters/min. Since v(2) = 200, 200 = 2k, so k=100 Thus, the final equation must be v = 100t
February 21, 2017

math
d = 20 r+g = 2d g+d = 3r so, r+g = 40 3r-g = 20 4r = 60 r = 15 g = 25
February 21, 2017

Physics
s = 1/2 at^2 so, 1/2 * a * 2^2 = 10 a = 5 m/s^2 assuming, of course, that the block slid the entire length of the plane ...
February 21, 2017

CAMBRIDGE
Label the points from left to right: A,P,Q,M,B AP = 2x PB = 3x AQ = 3y QB = 4y PQ = 2 AP+PQ=AQ, so AQ-AP=PQ: 3y-2x = 2 PQ+QB=PB, so PB-QB=PQ: 3x-4y = 2 Solving that, we get y=2, so AB = 7y = 14
February 21, 2017

value
http://lmgtfy.com/?q=Concept+Of+Special+Interaction
February 21, 2017

math
twice as many hens can lay twice as many eggs in the same time.
February 21, 2017

Data
There are 15! ways to arrange the balloons. But, the 5 green balloons can be rearranged in 5! ways that appear the same. Same thing for the other colors. So, you end up with 15!/(5!6!4!) = 630,630 ways
February 21, 2017

Pre Calculus 30
#1. 5 choices for each digit. So, 5^4 #2. correct #3. 1 * 4^3 #4. 2^3 * 10^4 when repetitions are allowed, you get more choices...
February 20, 2017

Quantitative Reasoning (MATH)
false the yearly reduction amount decreases with a smaller remaining value.
February 20, 2017

algebra
25750 * 0.8^5
February 20, 2017

Algebra
right track, but you made a mistake right at the start: 6z^2 + 40z - 5 = 0 z = (-40±?(40^2+4*6*5))/12 = (-40±?(1600-120))/12 = (-40±?1480)/12 = (-40±2?370)/12 = (-20±?370)/6 z = -0.127 or -6.539
February 20, 2017

Math
just solve the normal way: C=T/70 +E/30 C + T/70 = E/30 (70C+T)/70 = E/30 E = 30(70C+T)/70 = 3/7 (70C+T) or, E = 30C + 3/7 T
February 20, 2017

Algebra Word Problem
(x-2)(x+2) = 9+12x x = 13 So, the numbers are 11,13,15
February 20, 2017

math (precalc)
complex values come in pairs (why?), so the roots are 3-4i, 3+4i, 5, 5 R(x) = (x-(3-4i))(x-(3+4i))(x-5)^2 = ((x-3)+4i)((x-3)-4i)(x-5)^2 = ((x-3)^2+4^2)(x-5)^2 = (x^2-6x+25)(x-5)^2 = x^4 - 16x^3 + 110x^2 - 400x + 625
February 20, 2017

Pre Calculus 30
#1 First consider all the ways where A&B are together. This is equivalent to permuting 6 students (AB,C,D,E,F,G): 6! = 720. But, we have to double this, since AB and BA are two possible ways that A&B can be together. There are 7! ways to permute the 7 students. 7! - 2*6! = 720...
February 20, 2017

Algebra
well, did you try the values, to see whether they work? 80*(-1.33)^2 - 96(-1.33) + 27 = 296.192 Hmmm. I'd say nope. So, too bad you didn't show your work... 80x2^ - 96x + 27 =0 Using the quadratic formula, since there are so many possible factors of 80 and 27, x = (96&...
February 20, 2017

Algebra
If you meant 2.1/(x+1) + 1 4/5 = 3/(10x) then x = -1±?(7/6) If you meant 2.1/(x+1) + 1 4/5 = 3/10 x (5±?77)/2
February 20, 2017

math 1
a = 2b-8, so (assuming the usual sloppiness with parentheses) 2b-8 = 2/(b-3) (b-4)(b-3) = 1 Now just solve the quadratic. I suspect a typo, just fyi.
February 20, 2017

Algebra
w(3w-2) = 65 5*13 = 65
February 20, 2017

algebra
so if the equations involve c and d, what are x and y? The first equation says c-3d = 27 so, c = 3d+27 Use that in the other equation: 4d+10c=120 first, divide by 2 so you can work with smaller numbers: 2d+5c = 60 Now, since c = 3d+27, that means 2d+5(3d+27) = 60 2d+15d+135 = ...
February 20, 2017

Algebra - rats - and the t!
L2 = (3,7,-11/3) - 4/9 (-3,-3,4)t = (3,7,-11/3) + 4/9 (3,3,-4)t
February 20, 2017

Algebra - oops - lost the n
L2 is (3,7,k) + n(-3,-3,4)t
February 20, 2017

Algebra
L1 is (4,2,-3) + (1,3,-2)t L2 is (3,7,k) + (-3,-3,4)t 4+t = 3-3n t 2+3t = 7-3n t 4+t-3 = 2+3t-7 t = 3 n = -4/9 Now we can see that -3-2t = k+4nt -3-2(3) = k+4(-4/9)(3) k = -11/3 L2 = (3,7,-11/3) - 4/9 (-3,-3,4) = (3,7,-11/3) + 4/9 (3,3,-4) at t=3, L1(3) = (4,2,-3) + 3(1,3,-2...
February 20, 2017

physics
well, it takes 0.4/1.7 = 0.235s to travel that distance. now use your usual equation of motion to find the vertical distance fallen in that time.
February 20, 2017

Algebra/Math
if it's 8% by weight, then .08 * 150 And the wording should be 150g of an 8% solution
February 20, 2017

Math
t = u-2 10t+u + 10u+t = 154 154 = 11*14 so t+u=14 the number is 68
February 20, 2017

Math
try again in English ...
February 20, 2017

math
review your basic trig functions. Draw a diagram. Note that tan? = 12/19 now you can find ?.
February 20, 2017

Math
this is just your classic work problem. You started out right, but then went off into the mists. 1/x = 1/40+1/60-1/80 1/x = 7/240 x = 240/7
February 20, 2017

Math
f = d^2 f+5 = 3(d+5)
February 20, 2017

Math
2(x+8) = 25 Solve for x, then use to get the area. = 8x
February 20, 2017

math
36+x = 3(4+x)
February 20, 2017

value
r^2 = 567/63 = 9 r = ±3 Now you can find a, and S6 = a(r^6-1)/(r-1)
February 20, 2017

Science
20/(60+20) = 1/4
February 20, 2017

Chemistry
.28 * 6.023 * 10^23 * 2
February 20, 2017

Algebra
well, 2 days = 48 hours, so ...
February 20, 2017

Calculus
#1 swap variables and solve for y: x = ?(3y-2) x^2 = 3y-2 y = (x^2+2)/3 now f(x) has domain: x >= 2/3 range: y >= 0 f^-1(x) has domain: x >= 0 range: y >= 2/3 because f(x) has only one branch #2 f(x) = ?[1,x] sin(t)/t dt I don't think you want f(x), because it ...
February 19, 2017

Math 104
5P2 = ?
February 19, 2017

math
(2,3) [2,3]
February 19, 2017

Algebra2
write a recursive formula for the sequence 5,18,31,44,57 then find the next term. My answer is a1=5,an=an-1+13 The next term would be 70.
February 19, 2017

Calculus II
google the topic and you will find many discussions and examples. For a region of uniform density, the center of mass is the same as the centroid.
February 19, 2017

Pre-Calculus
3 = 2.1 sin[(?/6)t - 5?/6] + 3.2 2.1 sin[(?/6)t - 5?/6] = -0.2 sin[(?/6)t - 5?/6] = -0.095238 (?/6)t - 5?/6 = -.0953826 (?/6)t = 2.522611 t = 4.8178 and of course, there is another solution
February 19, 2017

Math
9.50a + 5.50(148-a) = 1170.00
February 19, 2017

Algebra2
thank you
February 19, 2017

Algebra2
cd = k a constant. So, you want d such that 86d = 2*17
February 19, 2017

Algebra2
suppose c and d vary inversely and d=2 when c=17 write an equation that models that variation find d when c=68
February 19, 2017

Algebra2
note that xy = 10
February 19, 2017

Algebra2
Does the relation in the table represent direct variation, inverse variation, or neither? if it is direct or inverse variation, write an equation to represent the situation. Explain your answer x 5, 10, 15, 20 Y 2, 1, 2/3, 1/2
February 19, 2017

MATH
15/(10+15) = 3/5 = 60%
February 19, 2017

Maths bearing
use the law of cosines.
February 19, 2017

Math
use the law of cosines.
February 19, 2017

Math
I'd guess the same, if it's in the same circle ...
February 19, 2017

Differential equation
?? Just plug in the numbers: at r=3, dr/dt = 5?/36 = k/9 k = 5?/4
February 19, 2017

Math
since 1 revolution is 360 degrees, (25 * 2? ft/rev) * (2?/10 rev/s) * 3600s/hr * 1mi/5280 ft = 10.71 mi/hr
February 19, 2017

Math
looks like it already is!
February 19, 2017

math
subtract the area of the lawn from the total area including path: (50+16)(40+16)-50*40 = ?
February 19, 2017

fractionss
2/3 * 1/2 ordered dessert
February 19, 2017

fractions
the amount left was (1 - 4/7)(1 - 2/5) = 3/7 * 3/5 = 9/35 of the original amount. So, 9/35 x = 9 x = 35
February 19, 2017

Differential equations
yes indeed
February 19, 2017

Maths
3*2*(120+68) = 1128m
February 19, 2017

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