Tuesday
September 23, 2014

Posts by STEVE


Total # Posts: 25,153

Math
Clearly, the nth winner gets 250000 * 0.20^(n-1) This is just a geometric series with a = 250000 r = 1/5 So, just apply your seies formulas
September 18, 2014

Algebra
Assuming a shift to the right, that would be g(x) = (x-2)^2/5 See http://www.wolframalpha.com/input/?i=plot+y+%3Dx^2%2C+y%3D%28x-2%29^2%2F5+for+-3%3C%3Dx%3C%3D5
September 18, 2014

math
I suspect the t was supposed to be a y, making things 3p(x-y) - (x-y) (3p-1)(x-y)
September 18, 2014

algebra
well, that would clearly be 36 + 43e^(-0.058*14)
September 18, 2014

math
That means the exterior angles are 40, so there are 9 sides.
September 18, 2014

Math algebra
probably OOUUUUCCCHHH!!
September 18, 2014

sixth grade math
Odd - you got #1 correct, but missed the other two. 1 5/6 * 2/3 = 11/6 * 2/3 = 22/18 = 11/9 7/8 * 3 1/3 = 7/8 * 10/3 = 70/24 = 35/12 How ever did you arrive at those answers? #2 I could call a typo, but not #3.
September 17, 2014

Chem
wow - can't believe I mangled those digits! But you noticed that on your own, right, Jessica? :-)
September 17, 2014

Chem
the density is evidently 29.3g/(16.7-14.2)ml = 23.9/2.5 = 9.56 g/cm^3 Find that in your table of materials
September 17, 2014

Math
90 boys like soccer, so 150 boys like basketball Assuming those were the only two sports in the survey, that means 240 boys were surveyed. So, 240 girls were surveyed. That means 210 liked soccer and 30 liked basketball.
September 17, 2014

math
Who knows what the names are? But, doing the algebra, 2x^2+3x+1 + x^2+5x+8 = 3x^2+8x+9
September 17, 2014

Math
The LCM is the product if they have no factors in common (relatively prime) Now it should be easy to pick the proper pairs. In fact, since they actually gave you the LCM's, it's just a matter of seeing whether the two numbers multiply to give the indicated LCM!
September 17, 2014

Algebra
Assumiong all the tiles are to be used, find the GCF(45,75,90). That is 15 45 = 3*15 75 = 5*15 90 = 6*15 So, he can make 15 stones, each with 3 red, 5 yellow a
September 17, 2014

science/math
How ever did you get a negative number? I'd assume we are using the same positive acceleration, starting from 50 mph! assuming constant acceleration, then since the velocity changed by 88ft/s in 8 seconds, a = 11 ft/s^2 Now to find v, just recall that v(t) = Vo + at Just ...
September 17, 2014

Algebra! please help
first, complete the squares: x^2+x + y^2-6y = -9 x^2+x+(1/4) + y^2-6y+9 = -9 + 1/4 + 9 (x + 1/2)^2 + (y-3)^2 = 1/4 Now all should be clear. See http://www.wolframalpha.com/input/?i=x^2%2By^2%2Bx-6y%2B9%3D0
September 17, 2014

business in mathematics
After 10 5/12 years, the amount is 9500(1 + .055/4)^(4*10.417) Not sure how the periods are divided into pieces.
September 17, 2014

Algebra 1
what are the numbers moving away from 0? Surely you can figure out how many stairs she has to climb. She has to go down 4, back up to 0, and then up another 4, then back to 0.
September 17, 2014

Algebra
3(a-2) = a 3a-6 = a 2a = 6 a = 3
September 17, 2014

Physics Grade 12
solve for t when the distances are equal: 0 + 1.1t^2 = 12.2t Now recall that since she started from a dead stop, s = 1/2 at^2 v = at
September 17, 2014

Algebra
Assuming the ) means a 0, we want 125 + 0.15x = 75 + 0.40x
September 17, 2014

math
If the rate is constant, then t = md+b Now plug in two pairs of values, say the first two. 8 = 40a + b 6 = 56a + b So, a = -1/8 and b=13 t = -1/8 d + 13 Now check the other two pairs of values to make sure they agree.
September 17, 2014

math help ASAP!!
Do you mean you want to solve the equation? (3x-2)/(x+4) = (18-4x)/(x^2-16) - (3x+2)/(4-x) You need a common denominator. Since x^2-16 = (x-2)(x+2), then assuming x ≠ ±4, (3x-2)(x-4) = (18-4x) + (3x+2)(x+4) Now you can rearrange terms to get -6(4x+3) = 0 so, x = -3/4
September 17, 2014

algebra
I assume you want to find the roots of the function. Since there are no rational roots, wolframalpha is your friend: http://www.wolframalpha.com/input/?i=x^3-9x%2B1
September 17, 2014

Math
x=0, or 7x = 8 If you rearrange terms, 7x^2 - 8x = 0 x(7x-8) = 0
September 17, 2014

Math
You have a slope and a point, so y-3 = -1/3 (x-1) Now all should be clear.
September 17, 2014

Math:Algebra 2
geez, give it a rest, ok?
September 17, 2014

algebra 2
If you are in algebra 2, I guarantee that you were taught this. Remember the point-slope form for a line? It's in your text.
September 17, 2014

M
You have a point and a slope, so use the point-slope form for a a line: y-3 = -2(x-1)
September 17, 2014

math
1/8 the circumference is pi. So, the whole circumference is 8pi Since C = pi*d, d = 8
September 17, 2014

math
John has to make up 50 miles at 10 mi/hr That will take 5 hours.
September 17, 2014

6th grade math
Since a and b are both positive, as long as a < b, a/b < 1 if a > b, a/b > 1 So, just pick some values for each case.
September 17, 2014

math
3/8 ÷ 0.5 = 3/4 2.5 ÷ 18/8 = 2/5 Since 3/4 > 2/5, he has too much milk. He'll get runny pancakes.
September 17, 2014

science/math
assuming constant acceleration, then since the velocity changed by 88ft/s in 8 seconds, a = 11 ft/s^2 Now to find v, just recall that v(t) = Vo + at Just plug in your numbers. Of course, in the real world, acceleration from a standing start is very different from a starting ...
September 17, 2014

math
Since it is a parabola which opens upward, there is no maximum value. g(x) = 2(x + 3/2)^2 - 3/2 so its minimum is -3/2
September 17, 2014

Math
4 -5 7
September 17, 2014

Music
ever heard of google? You will get much more info than you can use in a short paper.
September 17, 2014

Physical Science
since density = mass/volume, volume = mass/density. So, you will displace 3800g / (19 g/cm^3) = 200 cm^3
September 17, 2014

java
you can do one of two things. (1) use a pattern match to place the digits into an array, then print the array elements. (2) convert the number to a string, then loop through the string, printing the 1st character and then removing it, till the string is empty.
September 17, 2014

java
so, the next step will be to accept use input. Check how to do that.
September 17, 2014

Create math equation
If we place Kingston at (0,0) and Queensville at (0,160), then a time t from when Anthony left, the positions will be equal: 45t = 160-40(t - 1/4) t = 2 So, they meet at 2:00+2 = 4:00 pm Or, consider it like this. In the first 15 minutes, Anthony went 45/4 miles. The two cars ...
September 17, 2014

physics
the velocity changes by -20.8 m/s in 3.58s, for an acceleration of (-20.8 m/s) / 3.58s = -5.8 m/s^2
September 17, 2014

algebra
presumably it evaporated or was ionized by the electricity and escaped as H2 and O2 molecules.
September 17, 2014

math
If the breadth is w and the length is x, then we have 2(w+x) = 38 x-3 = 2(w-3) Now just solve for w and x. The area is w*x.
September 17, 2014

algebra
Ix x ml of 10%, then the rest (600-x) is 4%. So, .10(x) + .04(600-x) = .06(600)
September 17, 2014

Math
a = 0.7 a+ar = 2.1 so, 0.7(1+r) = 2.1 1+r = 3 r = 2 So, now you know that S12 = a(1-r^12)/(1-r) Just plug in your values.
September 17, 2014

Math
a + a+d = 15 a+2d + a+3d = 43 collect terms to get 2a+d = 15 2a+5d = 43 That should get you started.
September 17, 2014

math
Enter your polynomials at calc101.com. Click on the long division button.
September 17, 2014

Math (putting the question back up, again)
-5/8 c = 20 c = 20(-8/5) = -32
September 17, 2014

Math
since a = 15 r = 1/3 S4 = a(1-r^4)/(1-r) = 200/9 as you can easily verify with any calculator
September 17, 2014

Math
The first 3 terms form a geometric sequence, but the last is way off scale. As for the sum, why don't you just add up the terms you have been given?
September 17, 2014

Math
t1 = 250000 r = 0.20 Now just plug those into the various formulas you have learned.
September 17, 2014

Algebra help
the slope of L is 3 so, the slope of all perpendiculars to L is -1/3 So, now you have a point and a slope. If that doesn't tell you which form of the equation to use, there's trouble in River City.
September 17, 2014

math
since x = r cosθ r = x/cosθ
September 17, 2014

geometry
No idea. Where is P?
September 17, 2014

Math
Nope. Forgot the 60 degree angle. In that case, recall that cos 60 = 1/2
September 17, 2014

Math
Hint: Think of the ubiquitous 3-4-5 right triangle, scaled up to 6-8-10.
September 17, 2014

n2maths
50^2 + x^2 = (x+10)^2
September 17, 2014

Math
It appears that the two boys are less than 10, since adding up all the ages gives only 83 Granny cannot be less than 83-17=66 66+8+9=83 67+7+9=83 68+6+9=68+7+8=83 69+5+9=69+6+8=83 71+5+7=83 72+4+7=72+3+8=72+2+9=83 73+3+7=83 WE HAVE A WINNER!
September 17, 2014

maths
having what as 5000m?
September 17, 2014

Algebra
correct both times. In general, for a given set of problems, U is the Universe. Any subsets being discussed will always be subsets of U, or things are poorly set up.
September 17, 2014

Algebra
so, use one. wolframalpha.com does a good job
September 17, 2014

math
We have two lines, with slopes (-5-b)/10 and (-3)/(-6-a) If the lines are perpendicular, then (-5-b)/10 * (-3)/(-6-a) = -1 (b+5) = 10/3 (a+6) b = 5/3 (2a+9)
September 17, 2014

Math
We have a=7 d=12 So, when does Tn exceed 1000? Tn = 7+12(n-1) = 12n-5 12n-5 < 1000 12n < 1005 n < 83.75 So, the first 83 terms are less than 1000 Similarly for 2000
September 16, 2014

Math
clearly, a = 28 r = 1/6 So, S = a/(1-r) = 28/(5/6) = 33.6
September 16, 2014

Math
since x has an unspecified value, there is no way to round it. So, I assume you want to solve the equation, and round the answer to two decimals. 2x^4+3x-4 = 0 There are only two real roots, x = -1.43 or 0.90 The graph is at http://www.wolframalpha.com/input/?i=2x^4%2B3x-4 Or...
September 16, 2014

math
16/10 is the same as 1.6
September 16, 2014

math
probably because you have learned by heart some simple results, like sums totaling 10, or 5, etc. The mechanics never change, so if some are easier, it just means that you have learned some patterns that you can recognize.
September 16, 2014

math
The language is very confusing in its use of present and past tenses. When is "now"? The end of the year? If girls joined the band, how come there are now fewer students than at the beginning? I cannot believe the question was posed as you state. If so, the problem ...
September 16, 2014

trigo
First, vessels travel on headings, not bearings. 200 @ 245° = (-181.262,-84.524) 50 @ 320° = (-32.134,38.302) add them up to get (-213.396,-46.222) = 218 @ 258°
September 16, 2014

Algebra
correct.
September 16, 2014

Calculus
f(a) = 3a^2-2a f(a+h) = 3(a+h)^2 - 2(a+h) = 3a^2 + 6ah + 3h^2 - 2a - 2h f(a+h)-f(a) = 6ah + 3h^2 + 2h So, (f(a+h)-f(a))/h = 6a + 3h + 2 So, with various values of h, f(a+1) = 6a+3+2 f(a+0.1) = 6a + 0.3 + 2 = 6a + 2.03 and so on. Nothing difficult, just algebra I.
September 16, 2014

Math
That's a lot of work. Just think about it a bit. You start with 1 gram. 3 days later the amount left is 0.1 gram If the half life is k days, then (1/2)^3k = 1/10 3k = log(.1)/log(.5) = 3.32 So, k = 1.11 R(t) = (1/2)^(1.11t) But, since we like things base e for our ...
September 16, 2014

Math
just solve for x in the equation −0.01x2 + 130x − 180,000 = 174900
September 16, 2014

math
The expression factors as (3x-1)(x+2) However, there are lots of other ways to divide things up. For example, if x=3, the area is 8*5 = 40, but those are not the only two ways to get two numbers which multiply to 40.
September 16, 2014

math help
Just plug in the value: (4x+8)(x+2)(2x+4) / 2((4x+8)(x+2)+(4x+8)(2x+4)+(x+2)(2x+4)) = 8(x+2)^3 / 28(x+2)^2 = 2(x+2)/7
September 16, 2014

Math
steps to what?
September 16, 2014

math
The answer is r^2-5 + 5/(r^2-2) See the details when you enter your polynomials at calc101.com. Click on the long division button.
September 16, 2014

Math
after n hours, the length is 3*3^(n-1) = 3^n Now just plug in n=3
September 16, 2014

math
since the circumference is 8*3.14, the diameter is 8
September 16, 2014

math
f = m+5 f+5 = 2m m+5 + 5 = 2m m = 5
September 16, 2014

math
the first car went 20 miles before the 2nd car started out. So, it made up 20mi/(5/3 hr) = 12 mi/hr That is, car 2 was going 12 mi/hr faster than car 1, or 72 mi/hr Check: car 1 went 120 miles in 2 hours car 2 went 72(5/3) = 120 miles in 1 hr 40 min
September 16, 2014

Algebra
g(f(x)) = {g(8),g(5),g(-5),g(3)} = {10,9,3} g(3) is undefined
September 16, 2014

Algebra 2
y = 2x-1 + 3/5
September 16, 2014

Algebra 1
your solution is correct. To check on (180,-30), plug it in 8(180)+5(-30) =?= 900 But, how do you sell -30 student tickets?
September 16, 2014

Math
(a) max height occurs at t = -87/-32 (b) just solve for t when h=0
September 16, 2014

Trig
if the wind speed is w and the plane's speed is s, then (w cos-135°,w sin-135°)+(s cos63°, s sin63°) = (550 cos64°,550 sin64°) -.707w + .454s = 241.104 -.707w + .891s = 494.337 w = 31.089
September 16, 2014

c
or, 1/4 + 1/(x+9) = 1/x x = 3 so, the 2nd hose takes 12 hours check: in 1 hour, the two hoses fill 1/4 + 1/12 = 1/3 of the pool.
September 16, 2014

college algebra
If you mean the increase occurs only for those in excess of 3000, then you have (20)(3000) + (20+0.01)(x-3000) = 153525
September 16, 2014

Coordinate Algebra
In point-slope form, we have y-4 = -3(x-5)
September 16, 2014

Math
what, you don't know how to do any of those steps?
September 16, 2014

Calculus
Well, let's see what they have said. dL = k dT L0 so, L = k*L0*T + C Now you can plug in initial conditions or boundary conditions to determine k and C
September 16, 2014

Math Proof:
Looks to me like you just have to write the definition of inf and sup. a is not in E, but is greater than any other number less than any element of E.
September 16, 2014

physics
Looks like 600N/m^2 assuming it is lying flat on one face
September 16, 2014

math
1 = 1^3 8 = 2^3 27 = 3^3 so, what do you think?
September 16, 2014

Math quadratic word problem
Your very first line is off. For a triangle, A = bh/2
September 16, 2014

Trigo
Draw a diagram. If the pole has height h, and the tip of the shadow is x horizontally away from the pole, then (82 sin8° + h)/x = tan28° x/82 = cos8° Now, eliminate x to get (82 sin8° + h)cot28° = 82 cos8° Now just solve for h
September 16, 2014

math
2/5 + 1/3 = 6/15 + 5/15 = 11/15 That leaves 4/15 as woodwinds. So, 2/15 are clarinets 2/5 * 240 * 1/8 = 12 are tubas
September 16, 2014

Plural of economix?
.
September 16, 2014

math
0.9 x 5.2 / 0.2 x 25 = 585 (0.9 x 5.2) / (0.2 x 25) = 0.936 Pick the one you mean and then subtract 120 to find the missing value.
September 16, 2014

physics
distance = speed * time so, plug and chug
September 16, 2014

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