Tuesday
July 7, 2015

Posts by STEVE


Total # Posts: 32,154

math
see the related questions below
May 23, 2015

math
I agree
May 23, 2015

Grammar
or just "to be"
May 23, 2015

Integers
8 * -17
May 23, 2015

Math
is A adjacent to or opposite θ?
May 23, 2015

algebra
inverse variation means that xy = k, a constant. so, the first is xy=10 and the second is xy = ?
May 23, 2015

algebra--1 question
well, consider that 4b^3+5b-3 = (2b-1)(2b^2+b+3)
May 23, 2015

math
How about some actual math notation? is it x=1+√2+√3 and x^4-4x^3-4x^2+16x-8 = 0? I don't see any useful tricks here. Just start expanding the powers. x^4 = 80 + 48√2 + 40√3 + 32√6 Expand the others and then things will cancel out.
May 23, 2015

Mathematics
this is a stupid question. mean, mode, median relate to collections of data. You have no such set of measurements. Also, your question is bogus. How can you drive 80 km/h at a speed of 63 km/h?
May 23, 2015

Geometry
Are V and T inside or outside triangle PRS?
May 23, 2015

Algebra
(x-9)5 = x(5)-9(5) = 5x-45 just as (12-7)(5) = 5(5) = 25 12*5 - 7*5 = 60-35 = 25
May 23, 2015

Algebra
should have stayed with 36 1+3+5+7+9+11 = 36 In fact, if you add up the first n odd numbers, the sum is n^2. How did you decide on 11? 1+3+5=9 and you still had three rows to go.
May 22, 2015

physics
well 1A = 1C/s. You have 5uC/2s = 2.5 uC/s = 2.5uA
May 22, 2015

Math
surely there are online resources you can investigate. And, believe it or not, most teachers are not ogres.
May 22, 2015

Math
surely there's a way for you to check on that for yourself...
May 22, 2015

Science
usually 14 lb/in^2
May 22, 2015

Math
area of triangle base: 1/2 bh volume of prism: base.area * height so, what do you get?
May 22, 2015

Math
in posers of 7, you have 7^(-2n) + 3 = 7^(1/2) Now, in general, that's tough. I suspect you meant (1/49)^(n+3) = √7 Then we have 7^(-2(n+3)) = 7^(1/2) -2(n+3) = 1/2 n+3 = -1/4 n = -13/4
May 22, 2015

math
y=a^x opens up for any value of a>0 domain is all reals range is all y > 0 no vertex a^0 = 1 for all a>0 stretch factor: compared to what?
May 22, 2015

Combinatorics
There are 500 even integers. 105 = 3*5*7 So, throw out all the multiples of 3,5,7
May 22, 2015

math
6000/(1+.03/2)^(2*8) = 4728.19
May 22, 2015

Math
that is just the number of permutations of 5 things out of 6: 6P5 = 6!/1!
May 22, 2015

geometry
The center is the midpoint of PQ: (-3,4) The radius is half the length of PQ: 1/2 √(14^2+4^2) Now, knowing the center and the radius, you know that the equation is (x+3)^2 + (y-4)^2 = r^2
May 22, 2015

Math
cone: area = πrs volume = 1/3 πr^2h = π/3 r^2√(s^2-r^2) hemisphere: area = 2πr^2 volume = 2/3 πr^3 So, plug in your numbers and you will get the desired answers. If not, come back with your work and we can see where you went wrong.
May 22, 2015

physics
kaBOOM!
May 22, 2015

maths
tan7θ tan3θ = 1 express in terms of sin and cos: sin7θ sin3θ = cos3θ cos7θ cos3θ cos7θ - sin7θ sin3θ = 0 Things should be starting to look familiar now . . .
May 22, 2015

math
experimental loaded dice!
May 22, 2015

math
the vertex of ax^2+bx+c is at x = -b/2a In this case, that is 750/50 = 15, not 9. v(15) = 4375
May 22, 2015

math
well, that would just be the difference between the two temperatures. How do you find the difference between two numbers? For example, how much bigger is 100 that 20?
May 21, 2015

Physics
I see a lot of verbage, but nothing related to actually solving this problem. Draw a diagram of the vectors involved. Clearly, sin α = 10/80, so α = 7.18° The speed at touchdown will be 80 cosα = 79.37 mi/hr
May 21, 2015

Physics
nope: C 1/20 = 1/8 + 1/x x = -13.3
May 21, 2015

Math
stupid cursing filters! 8/2 = 4 cages of c**katiels 32/10=3.2, so 4 cages of parakeets 28/10=2.8, so 3 cages of finches
May 21, 2015

Math
ooops. negative multiplication changes direction: -2x < 9 x > 9/-2 x > -4.5
May 21, 2015

math
see related questions below
May 21, 2015

algebra
original amount: x apples Becky gets (x+1)/2, leaving Joy (x-1)/2 Gayle gets (x+1)/4, leaving Joy (x-3)/4 Bonnie gets (x+1)/8, leaving 1 left over x - (x+1)/2 - (x+1)/4 - (x+1)/8 = 1 x = 15 or, working backwards, there were ((1*2+1)*2+1)*2+1 = 15 apples to start
May 21, 2015

MATH PRACTICE
if you look at the coordinates, you just have a right triangle, with legs of length 4 and 7. So, figure the hypotenuse and add 'em up. I get something close to 19.
May 21, 2015

Algebra
√(1/5) - √5 1/√5 - √5 (1 - √5√5)/√5 (1 - 5)/√5 -4/√5
May 21, 2015

Zoneton
formatting. Should have been -2x < 9 x > ??? Swap sides to get -9 < 2x -9/2 < x or, x > -9/2
May 21, 2015

Math.
Clearly you need to review your shapes and their volumes. v = pi/3 r^2 h r=12 and h=10, so v = 3.14/3 * 12^2 * 10 = 1507.2 in^3
May 21, 2015

English
not necessarily. #2 is just motion #1 also implies intent -- to eat you.
May 21, 2015

Maths
well, which of them tends to oscillate between a max and a min on a regular (say, daily) basis?
May 21, 2015

math
mean
May 21, 2015

Calculus and quadratic equations
The data points are: (0,10000), (3,7075), (6,6400), (9,5275) The instructions say: If the last digit of your Student ID No. is an integer power of 2, then you are to use the initial investment value and data from 3 weeks and 6 weeks to work out the model. So, now you know ...
May 20, 2015

math
looks like 6 to me there are 3 ways to make the first move. Then from the new corner, there are 2 ways to continue. Then there is a single last move.
May 20, 2015

physics
the horizontal speed is 17.32 m/s So, the package falls for 750/17.32 = 43.30 seconds So, you need h where h + 10.0t - 4.9t^2 = 0 and t = 43.3 Now you can carry on with the other parts,
May 20, 2015

English
The expression is "have it easy." similarly expressions: Some like it hot. I can't get it right. Using "easily" would indicate the having, rather than what is being had. (Also, I've never heard anyone say it!)
May 20, 2015

Geometry
I'd say the distance formula, given the definition of a parabola.
May 20, 2015

Trig - My Bad
I messed up on my sign (QII) So, Reiny, how did you get 5/12? That was -tanØ
May 20, 2015

Trig
Not sure I like your values: sin2θ = 2sinθcosθ = 2(-5/13)(-12/13) = 120/169 cos2θ = 2cos^2θ-1 = 2(144/169)-1 = 119/169 tan2θ = sin2θ/cos2θ = 120/119
May 20, 2015

Trig
since π < θ < 3π/2 (QIII), sinθ = -5/13 tanθ = 5/12 Now just plug those into your double-angle formulae.
May 20, 2015

PHYSICS
so, what are your calculations? Maybe we can figure out what's wrong.
May 20, 2015

L A/The Giver
I agree with #1 Have you read the other two books in the series? Good story.
May 20, 2015

math
If the loan is for 62 days, then you want just 62/360 of the 15% for interest, since it's 15% for a whole year. (assuming the 360-day year)
May 20, 2015

math
I assume you want just the region in QI, since otherwise the axis of rotation is inside part of the region. So, we want the area whose vertices are (0,0), (0,1) and (π/2,π/2) Around the x-axis, we have, using discs, v = ∫[0,π/2] π ((x+cosx)^2 - x^2) ...
May 20, 2015

help
x + 3x = 20 . . .
May 20, 2015

physics
No.
May 20, 2015

math
to find the # of children's tickets, you just solve 35(2c) + 20c = 1890 then double that for the adults.
May 20, 2015

Good call, Reiny
Yes, I neglected to mention excluded values. One cannot gloss over stuff like that. My bad.
May 20, 2015

algebra
x/(6x-x^2) = x / x(6-x) = 1/(6-x) (x^2 - 3x - 18) / (x + 3) = (x-5)(x+3)/(x+3) = x-5 (k+3)/(4k-2) * (12k^2+2k-4) = (k+3)/(2(2k-1)) * 2(2k-1)(3k+2) = (k+3)/(3k+2)
May 20, 2015

math
if there's a 20% discount, it sells for 80% of its original price. so, 0.80 p = 126.40
May 20, 2015

math
well, geez, just check your answer 11 dimes and 2 nickels does indeed add up to $1.20
May 20, 2015

math
add up the coins: n+d = 13 add up the values: 5n+10d = 120 Now just solve for n and d.
May 20, 2015

Algebra
(8m^7 - 10m^5) / 2m^3 = 8m^7/2m^3 - 10m^5/2m^3 = 4m^4 - 5m^2 -2/(x+3) - 4/(x-5) = [-2(x-5) - 4(x+3)] / (x+3)(x-5) . . . 7/(x-3) + 3/(x-5) = [7(x-5) + 3(x-3)] / (x+5)(x-3) . . . -1/(x-9) - -2/(x+7) = [-(x+7) + 2(x-9)] / (x-9)(x+7) . . .
May 20, 2015

Trig
correct.
May 20, 2015

algebra
yes, it appears to be an exercise in the distributive property. Do you have a question? I expect you need to use the property to get rid of the parentheses and then solve for the variables. What do you get?
May 20, 2015

Statistics
so, at 5% per period, after 6 periods, the account will have 2000*1.05^6 + 2000*1.05^5 + ... + 2000 = 2000(1.05^7 - 1)/0.05 = 16284.02
May 20, 2015

geometry
well, v = 1/3 πr^2 h so, unless you know something about the height, there's no way to pin down the radius. All you know for sure is that r^3 h = 960/π Maybe you can fix things and then solve for r. Please don't just come back and say h=5, so what's r? ...
May 20, 2015

CSIR General Aptitude
Just subtract the starting position from the ending position to get the distance traveled...
May 20, 2015

pre-algebra
9z+8+3(2-4z)-9=-40 9z+8+6-12z-9 = -40 -3z+5 = -40 -3z = -45 z = 15
May 20, 2015

math
I assume you meant exactly 2 standard deviations above the mean So, 2 std's = 8, making the mean 85-8 = 77
May 20, 2015

Maths
so, what's wrong with that as an answer? That's what I get, too. http://www.wolframalpha.com/input/?i=1%2F%281%2F%281%2B2i%29+%2B+1%2F%282%2B5i%29%29
May 20, 2015

Math Check Answers Quickly Please
both are correct.
May 20, 2015

math
If the base is a n-gon, then the base has n sides and n vertices. So, clearly the pyramid has n lateral faces and edges, no?
May 20, 2015

Maths
depends on the tools you have learned. Most easily, use a calculator. figure 18*3.14159/5.86 and then hit the sin button. Make sure you are in radian mode.
May 20, 2015

math
have you no calculator? If not, you can just enter that text into the google search box, and it will give you the result.
May 20, 2015

science
check the label to see the expected delay.
May 20, 2015

Math
5m+13
May 19, 2015

algebra2
That file exists only on your computer. No way for us to open it. Best suggestion: review the properties and work it out. Next best: tell us the question for some help.
May 19, 2015

Math
you can find the distance PQ using the law of cosines: x^2 = 10^2 + 6^2 - 2(10)(6)cos137° x = 14.959 for the bearing, locate P and Q in rectangular coordinates and then the bearing is 90-arctan(y/x) where x and y are the corresponding displacements from Q to P.
May 19, 2015

Algebra 2 Honors
you can get that without worrying about k. since r = kst, r/st = k and is constant. So, you need s in 140/(-5*20) = 7/(2.5s) s = -2 as you calculated
May 19, 2015

algebra
-1/(x-9) - -2/(x+7) -1(x+7) - (-2)(x-9) ------------------------- (x-9)(x+7) (-x-7+2x-18) / (x-9)(x+7) (x-25) / (x-9)(x+7)
May 19, 2015

algebra
a/b/c (a/b)/c = a/(bc) So just plug in your values and reduce.
May 19, 2015

Calculus
1. I get = π[(1/4)y^2 + y] from -2 to 1 = π((1/4+1)-(1-2)) = 9π/4 2. I get 9π/4 also making the total volume 9π/2
May 19, 2015

Calculus
suppose ∫ f(x) dx = F(x) Then ∫[0,8] f(x) dx = F(8)-F(0) = 4 ∫[0,2] f(4x) dx = ∫[0,2] 1/4 f(4x) d(4x) = 1/4(F(8)-F(0)) = 1 check: ∫[0,8] x^2 dx = 512/3 ∫[0,2] (4x)^2 dx = 16(8/3) = 128/3
May 19, 2015

math please help
the perimeter is just the sum of all the sides. So, for the large triangle, p = 4x+2 + 7x+7 + 5x-4 = 16x+5 Now do the same for the smaller triangle. For (B), just subtract one expression from the other.
May 19, 2015

Calculus
how about |x^2-cosx| or, 2*integral from 0 to 2, since both cosx and x^2 are even?
May 19, 2015

Calculas
the volume of a disc of thickness k is pi r^2 k If the radius is y, it means you are rotating around the x-axis, so the volume of each disc is pi y^2 dx If rotating around the y-axis, each disc's radius is x, so the volume is pi x^2 dy Try drawing a diagram, guys. As you ...
May 19, 2015

Calculas
pi y^2 is used when rotating around the x-axis.
May 19, 2015

Calculas
if you use discs, they have holes. Shells are just like nested cylinders, so there are no holes. Using discs (washers), the calculation is more complex, since the lower portion is bounded by the y-axis (solid discs), and the upper portion is bounded by the two curves (washers ...
May 19, 2015

Calculus
The curves intersect at (±√3,4) So, using the area in the first quadrant, we have, using shells, v = ∫[0,√3] 2πrh dx where r=x and h=(x^2+1)-(2x^2-2)=(3-x^2) v = 2π∫[0,√3] x(3-x^2) dx = 9π/2 Looks more like a bowl than a vase...
May 19, 2015

Calculus
because f(-x) = -f(x) There is equal area above and below the x-axis.
May 19, 2015

Quadratic Functions and Calculus
Holy crap! Have you done anything on this? Have you determined the three data points to use? Have you decided what to do using the ID number? Come back with some input, ok?
May 19, 2015

Quadratic Functions
Not sure what BiQuad is, but if you want to fit a parabola through those three points, you have, assuming that v(t) = at^2 + bt + c, 0a+0b+c = 10000 9a+3b+c = 2025 36a+6b+c = 6400 Somehow I suspect what you really wanted was v(3) = 1000-2025 = 7975, since most stocks don't...
May 19, 2015

math
well, shoot. Which is bigger: a ft^3 or a yd^3?
May 19, 2015

math please help
they are the same. It shows why 11^0 = 1 or why x^0 = 1 for any value of x. (except x=0)
May 19, 2015

math help please!!
3^3/3^6 = 3*3*3 ----------------- 3*3*3*3*3*3 Now you can see that three 3's cancel out in top and bottom, so you are left with 1/(3*3*3) = 1/27 This shows why x^n / x^m = x^(n-m)
May 19, 2015

Math
can you try that again in English?
May 19, 2015

Math
the cars are 360/16 = 22.5° apart. car 16 is 3 positions from car 13. So, a rotation of 67.5° will move car 16 to car 13's position.
May 18, 2015

geometry
in a triangle, angles are opposite sides. Two angles cannot be opposite each other. Using the tan function, the hypotenuse is not used. If the base 12 is opposite the 71° angle, then 12/d = sin 71° 12/c = tan 71° Better review your trig function definitions.
May 18, 2015

Math
you have a rectangle that is 100x(40+20) and a circle that has diameter 40+20=60 so, just add those two areas. If the area inside the circular ends but outside the rectangle does not count, then you have to subtract off the smaller circle of diameter 40.
May 18, 2015

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