Monday
August 31, 2015

Posts by steve


Total # Posts: 33,180

Algebra
if you have y = 3x(x+4), then shrink it by multiplying by 1/5 y = 3x / 5(x+4) since 1/(5x) is shrunk compared to 1/x
August 10, 2015

English
thank you
August 9, 2015

English
"I submit that an individual who breaks a law that conscience tells him is unjust, and who willingly accepts the penalty of imprisonment in order to arouse the conscience of the community over its injustice, is in reality expressing the highest respect for law." In ...
August 9, 2015

Sociology
thank you
August 8, 2015

Sociology
What are necessary to explain research findings? a- variables b-theories c- symbols d- research models I'm not sure of the answer because you would need models to conduct the research and theories to model the research. I don't think symbols would explain the findings ...
August 8, 2015

Sociology
Are theories necessary to explain research findings? My answer is yes.
August 7, 2015

Sociology
thank you
August 7, 2015

Sociology
only 19th century sociologists addressed social problems. only 19th century sociologists tested their theories with systematic research. ancient civilizations were egalitarian and did not address class differences. war and social conflict were a product of the industrial ...
August 7, 2015

Sociology
One of the primary differences between the study of Society done by the people of ancient civilizations and the study of society conducted by sociologists 19th century was what?
August 7, 2015

math
thank you
August 7, 2015

math
if point a = -7 and b = 8 what is their length? my answer is 15
August 7, 2015

Geometry
In a line with points a,b,c,d what is the name of the ray that is opposite ba? my answer is ca
August 7, 2015

Geometry
plane hkp and plane rkp are 2 distinct planes. Name the intersection of plane hkp and rkp my answer is line kp
August 7, 2015

English
In both the Gettysburg Address and “Letter from Birmingham Jail,” the writers comment on the tribulations faced by a nation at war. honor those who have fought for freedom. demand the revision of the nation’s unjust laws. expound on the notion of tolerance for ...
August 6, 2015

English
What 3 selections below were purposes that caused martin Luther King jr to write the Letter From the Birmingham Jail? 1- defend his actions 2- react to a statement 3- explain his religious views 4- share his opinions regarding segregation my answers are 1,2,and 4
August 6, 2015

World History
Which of the following is NOT true about bias? Answer: a) Using both biased and non-biased resources in research will create bias results b) Bias can be identified by the facts that the Web site includes as well as the facts that are excluded c) In a biased web site it is ...
August 5, 2015

English
thank you
August 4, 2015

English
What Is the correct mla format for a book in a works cited list? My answer last name first name book title city of publication date
August 4, 2015

English
Is a clause a part of speech? My answer is no.
August 3, 2015

English
Thank you
August 3, 2015

English
I'm sorry I meant C
August 3, 2015

English
Archetypes frequently appear in literature with - a- contradictory themes b- general themes c- universal themes d- specific themes my answer is D
August 3, 2015

Mathematics
we know that (5a+12b)^2 + (12a+5b)^2 = (13a+kb)^2 25a^2+120ab+144b^2 + 144a^2+120ab+25b^2 = 169a^2 + 26kab + k^2b^2 169a^2+240ab+169b^2 = 169a^2+26kab+k^2b^2 (240-26k)ab + (169-k^2)b^2 = 0 b((240-26k)a+(169-k^2)b) = 0 Since a and b are positive, either 249-26k < 0 or 169-k^...
July 30, 2015

trig
tanx = 3 so, sinx = 3/√10 cosx = 1/√10
July 30, 2015

Math
After t days, you have 100*(1/2)^t
July 30, 2015

Math
280(4mi)^2 = 280*16 mi^2
July 30, 2015

maths
(1) no algebraic way to do it. Check the graph (2) 2x+2y < 4 3x+4y > 6 Just plot the lines and shade the areas that intersect (3) clearly x=100
July 30, 2015

math
Why do you say "for some reason"? Didn't you solve the problem? Did you check your answer? 500-70+10 = 440 = 500 * 0.85 ok 300-30+75 = 375 = 345 * 1.15 ok Here's how I did it. I imagine you did it in much the same way. to start, 500 ducks 300 chickens then ...
July 30, 2015

Calculus
well, 1-sin^2 = cos^2, so you have cos^2θ - sin^2θ = cos 2θ cos^2θ * sin^2θ = 1/4 sin^2(2θ)
July 30, 2015

Calculus
I see some algebra and trig, but no calculus also, no question
July 30, 2015

What did I did wrong MATH
(3x-6)/(4x+12) = 1/3 it takes 12 fifty-cent coins to be "the same amount" as six dollar coins
July 30, 2015

Algebra I I
sure looks like substitution to me.
July 30, 2015

math
5^(x+2) = (5^x)(5^2) = 7*25 = 175 However, as you wrote it, 5^x+2 = 7+2 = 9 Parentheses are important!
July 30, 2015

math
clearly, -2001 <= x <= 0 Thus, 0 <= x+2001 <= 2001 So, how many numbers between 0 and 2001 are squares? √2001 = 44.7 So, There are 45 numbers such that 0 <= x <= 44, meaning that 0 <= x^2 <= 2001
July 30, 2015

math
√1000000 = 1000 √4000000 = 2000 any number less than 1000 has a square less than 1 million any number greater than 2000 has a square greater than 4 illion so, you want all the numbers n such that 1000 < n < 2000
July 30, 2015

math, hard
who's talking about square roots? These are absolute values. |a| = -a, so a = -|a| same for b. So, a-b = -|a| - (-|b|) = -|a| + |b|
July 30, 2015

math! VERY hard!
3/4 = 9/12 1/3 = 4/12 so, you already have 13/12lbs of fruit You still need 1 11/12 = 23/12 lbs That is 9/12 + 14/12 = 3/4 + 6/12 + 8/12 = 3/4 + 1/2 + 2/3
July 30, 2015

Math
tanx+cotx = sec^2x/tanx = 1/(sinx cosx) secx+cscx = (sinx+cosx)/(sinx cosx) so, we have sinx+cosx + 2/sin2x + 2(sinx+cosx)/sin2x See what you can do with that
July 30, 2015

Trig
sinx+cosx = 1/5 square both sides and you have sin(2x) = -24/25 so, cos(2x) = -7/25 Now you can use your half-angle formula for tan(x)
July 30, 2015

Trig
Take a look here: http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibpi.html and scroll down to Sec. 6.2
July 30, 2015

Math
Since sinx is always less than 1, you need to find where x^2/625 >= 1 There will be no solutions past that. Looks like you don't need to look beyond x=25. So, how many periods does sinx have in that domain? Looks like 4, positive and negative, so I expect there are 15 ...
July 30, 2015

Math
If the pirate is at horizontal distance x from the building, at the hill has height h, then (400-h)/x = tan 4° h/x = tan 2° Eliminate h and you have 400 - x tan4° = x tan2° Now you can find x. Assuming the pirate can fly horizontally, that is the shortest ...
July 30, 2015

trigo - eh?
midway is in the middle; same distance on each side which is taller, the near or far? Is "c" supposed to mean angle?
July 30, 2015

maths
what the heck is the radius of the area of a semicircle
July 30, 2015

Trig
draw your triangle. If the legs of the triangle are x+1 and x-1, the hypotenuse is √((x+1)^2 + (x-1)^2)) = √(2x^2+2) so, sin(arctan((x+1)/(x-1)) = (x+1)/√(2x^2+2)
July 30, 2015

Trig
Recall your sum/difference formulas. You have sin(2x-y)+sin(y) = 2sin(x)cos(x+y) cos(2x-y)+cos(y) = 2cos(x)cos(x+y) Now just divide and you have tan(x)
July 30, 2015

Math
0 and 180π/(180+π)
July 30, 2015

Math
f(t^2+1) = t^4+5t^2+3 = (t^2+1)(t^2+4) - 1 = (t^2+1)((t^2+1)+3)-1 That means that f(t) = t(t+3)-1 So, f(t^2-1) = (t^2-1)((t^2-1)+3)-1 = t^4+t^2-3
July 30, 2015

Math
clearly, f(2003) = 0, since f(f(0)) = 0
July 30, 2015

maths
pi not pai!! d/dx u^v = v*u^(v-1)u' + lnu u^v v' You have u=x and v=x^10 ∫[-2,-1]∫[0,1] x^2y^2+cos(πx)+sin(πy) dy dx = ∫[-2,-1] 1/3 x^2 y^2 + cos(πx)*y - 1/π cos(πy) [0,1] dx = ∫[-2,-1] 1/3 x^2 + cos(πx) + 2/π ...
July 30, 2015

Trigonometry
recall the law of cosines. The distance z will be z^2 = 20^2 + 44^2 - 2*20*44*cos100°
July 30, 2015

math
why all the words? a = x^2+x-42 Factor that to get a = (x+7)(x-6)
July 30, 2015

math - eh?
and then? and is your + key not working?
July 29, 2015

Algebra II
correct
July 29, 2015

calc
so, is F(x) = ∫[1,3x] ln(t^2) dt or F(x) = ∫[1,3x] (ln t)^2 dt ? Either way, f(x) = F'(x) = ln(3x)^2 * 3 or f(x) = F'(x) = (ln 3x)^2 * 3 And F" = f' Recall that the 2nd Fundamental Theorem of Calculus says that if F(x) = ∫[a,g(x)] f(t) dt ...
July 29, 2015

math algebra
if p>2 is prime, p is odd So, p+999 is even, so it cannot be prime.
July 29, 2015

Calculus - Rate of Change
the cone has volume v = 1/3 π r^2 h = 1/3 πr^3 dv/dt = πr^2 dr/dt when v = 1000, r = ∛(3000/π) so, 10 = π(3000/π)^(2/3) dr/dt now you can find dr/dt, and since r=h, that's also dh/dt
July 29, 2015

trig
Good catch. a^2+b^2 = 64, not 8
July 29, 2015

trig
c^2 = a^2+b^2 = 64 ab/2 = 8 (a+b)^2 = a^2+2ab+b^2 = 8+32 = 40 p = a+b+c = 8+√40
July 29, 2015

Calculus
craft travel on a heading, not a bearing. 700 @ N23°E = (273.51,644.35) 60 @ E = (60,0) Add them up and you have (333.51,644.35) = 725.55 @ N27.36°E
July 29, 2015

Math - My Bad
Oops. I misread the diagonal part. Could not help the gibberish, however.
July 29, 2015

Math
area of parameter is gibberish area = (8√10)(3*8√10) perimeter = 2(8√10 + 3*8√10)
July 29, 2015

calculus
x^2+16x < 0 x(x+16) < 0 You know the graph crosses the x-axis at x=0,-16. So, x(x+16) < 0 if -16<x<0
July 29, 2015

Geometry
That's some field!
July 29, 2015

maths
You appear to want x^4+3x-2 -------------------------- (x^2+1)^3 (x-4)^2 You manage to mangle things badly, and the solution to that fraction has been posted in response to an earlier version of the poorly typed question. Here it is again. http://www.wolframalpha.com/input/?i...
July 29, 2015

College Algebra
ln x = 6 x = e^6 ln(e^2) = 2*ln(e) = 2*1 = 2
July 29, 2015

College Algebra
You probably have a yx button on your calculator. Use it. Or, note that (2/3)^x = e^(ln(2/3)*x) = e^(-0.4055x) Now you can use your e^x button to evaluate the expressions. And it's pi, not pie!
July 29, 2015

College Algebra
1/5 log(x+3)^5 = log(x+3) log(x^6)-log(x^2-x-12)^3 = 3log(x^2/(x^2-x-12)^3) = log((x^2)/(x^2-x-12)) so, adding those logs, we have log(x+3) + log((x^2)/(x^2-x-12)) = log(x^2(x+3) / (x+3)(x-4)) = log(x^2/(x-4))
July 29, 2015

College Algebra
log(a^b) = b*log(a) log(u/v) = log(u)-log(v) So, you have 5log(x)-log(y)-6log(z) where all the logs are base a.
July 29, 2015

maths
60sin(40°) The ship is east of the starting point. Your question is worded backwards.
July 29, 2015

Solving Geometry Formulas
this is just like the last one. What do you get?
July 29, 2015

maths
((6+3)(4+3)-(6*4))(0.1) = 3.9 m^3
July 29, 2015

maths
If npr=3024, r=3024/np y' = (secx-tanx)/(secx+tanx) y' = (secx-tanx)^2/tan^2x y' = csc^2x - 2cscx + 1 Those are straightforward integrals
July 28, 2015

trig
5pi/4 = pi/4 + pi So, if you can find the terminal point in QI (pi/4), just change the sign of x and y to put it in QIII.
July 28, 2015

Solving Geometry Formulas
2(7+L) = 56 7+L = 28 L = 21
July 28, 2015

MATHS
the width has grown by a factor of 4/3 so, the volume has grown by a factor of (4/3)^3
July 28, 2015

Math
I think this is an example of logistic growth, since the population will rise sharply until the food supply gives out, limiting further growth. I'm not really up on curve fitting for logistic growth, but the general curve is y = 1/(1+(1/a-1)e^(-rt)) where a is y(0)/y(&#...
July 28, 2015

maths
for area, our new area is 4pi(.99r)^2 So, if we divide that by the original area, we have 4pi(.99r)^2 / 4pir^2 = .99^2 1-.99^2 = 0.0199 That is, a 1.99% decrease in area Note that the area decreases by about twice the percentage as the radius. I think you can expect the volume...
July 28, 2015

Algebra
assuming that f(x) = ax^3+bx^2+cx+d, d=47 a+b+c+47 = 32 8a+4b+2c+47 = -13 27a+9b+3c+47 = 16 f(x) = (52x^3 - 201x^2 + 104x + 47)/3
July 28, 2015

math
How about 1√1000000 2√250000 4√62500 5√40000 8√15625 10√10000 and so on List 'em and count them
July 28, 2015

Calculus
well, it ain't enough. If the cross-sections are perpendicular to the x- (or y-)axis, then each thin plate has base of width 2-x, so v = ∫[0,2] (2-x)^2 dx = 8/3 If the cross-sections are parallel to the line x+y=2, then each thin slice has base √(x^2+y^2) = &#...
July 28, 2015

Calculus
How are the cross-sections oriented? perp. to an axis, parallel to x+y=2, or some other way?
July 28, 2015

Geometry
if the triangle is half of a square, its legs are √72. So, its hypotenuse is √72√2 = 12
July 28, 2015

maths
(9π/2 m^3)/((.09π m^2)(0.2 m/s))(1min/60s) = 4.1666 min = 4'10"
July 28, 2015

Geometry
Dang. I used x as the vertex angle. Go with Reiny.
July 28, 2015

Geometry
well, tan(x/2) = 2/√3 now just take 2*arctan(2/√3)
July 28, 2015

physics
1.00 @ E = (1.000,0.000) 0.75 @ E60°S = (0.650,-0.375) 0.50 @ E20°N = (0.470,0.342) Add 'em up and you end up at (1.62,-0.33) which is 1.65 @ E11.51°S
July 28, 2015

math PS
and there is no (x-4)^2 term, since your original fraction had none. If you really want that to be included, I can only refer you to http://www.wolframalpha.com/input/?i=%28x^4%2B3x-2%29%2F%28%28x^2%2B1%29^3%28x-4%29^2%29 Scroll down a bit to the partial fraction breakdown.
July 28, 2015

math - partial fractions
(x^4+3x-2)/((x^2+1)^3(x-4)) = 266 / 4913(x-4) - 266(x+4) / (x^2+1) + 23(x+4) / 289(x^2+1)^2 + (7-11x) / 17(x^2+1)^3 Problems like this are so tedious that they really test only patience, not knowledge.
July 28, 2015

Maths
I think you mean least number of marbles. 12 = 2^2 * 3 15 = 3 * 5 20 = 2^2 * 5 So, the LCM is 2^2 * 3 * 5 = 60
July 28, 2015

D.A.V. public school
If its value last year was v, then 387000 = 0.9v
July 28, 2015

Physics
max height when starting with velocity v is v^2 / 2g The mass does not matter.
July 28, 2015

Math
Consider the group of 3 dogs as a unit. That means there are 7 friendly dogs, and another "fighting unit" which can be anywhere in the line. So, there are 8! ways to arrange the dogs which will cause a problem, because the three fighters are all together. Any other ...
July 28, 2015

maths
since the weight varies as 1/d^2, if its weight is 1/4 as much, d is twice as big. That is, 1/(2d)^2 = 1/4 * 1/d^2
July 28, 2015

English grammar
How about He seems to love reading good books.
July 27, 2015

Math
12h+10a = 7 5h+15a = 4 ...
July 27, 2015

Math
.30A + .70(800-A) = .54(800)
July 27, 2015

trigonometry
If we let d = distance between buildings h = height of the taller building h/d = tan 43°2’ (h-25)/d = tan 21°11’ so, eliminate d and then evaluate for h h cot43°2’ = (h-25) cot21°11’ ...
July 27, 2015

math
60 divides N^2 60 = 2^2*3*5 That means that 3^2 and 5^2 must also divide N^2 So, only 16 might not be a factor of N^2 (2*3*5)^2 = 900 16 is not a factor of 900; then others are.
July 27, 2015

math
true, depending on the value of x.
July 27, 2015

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