Tuesday
September 16, 2014

Posts by STEVE


Total # Posts: 24,952

Geometry
GB has length √25 GF has length √85 I expect you can compare those Do others in like wise.
September 4, 2014

Algebra1
[(40+5)-3^2]÷9•2 [45-9]÷9•2 36÷9•2 4•2 8
September 4, 2014

Math
y = x^2+16x+64 = (x+8)^2 + 0 so, the vertex is at (-8,0)
September 4, 2014

Math
y = x^2+16x+64 = (x+8)^2 + 0 so, the vertex is at (-8,0)
September 4, 2014

math
ages now: t and g 16 years ago, (g-16) = 8(t-16) 8 years from now, (g+8) = 3(t+8) Hmmm. solving those two equation, I don't get integer solutions. That's ok, but unusual. If I have gotten something wrong, fix it and follow through, finishing with the ratio (t-8)/(g-8) ...
September 4, 2014

Math
looks good to me.
September 4, 2014

Math
Review conditionals: if hypothesis then conclusion 1. D 2. D
September 4, 2014

algebra
the point-slope form tells you that y-3 = 2(x-1) Rearrange things to get y = 2x + 1
September 4, 2014

(Please Help!) Analytic Geometry
google it - wikipedia has a good discussion
September 4, 2014

Ms Sue Please Help ! Analytic Geometry
what do you mean "identify the points"? 9x^2 + 4y^2 -54x-16y + 61 =0 9x^2-54x + 4y^2-16y = -61 9(x^2-6x) + 4(y^2-4y) = -61 9(x^2-6x+9) + 4(y^2-4y+4) = -61 + 9*9 + 4*4 9(x-3)^2 + 4(y-2)^2 = 36 (x-3)^2/4 + (y-2)^2/9 = 1 ellipse with major axis vertical, semi-axes of ...
September 4, 2014

science
you know that the height at time t seconds is h(t) = 24 + 24.5t - 4.9t^2 so, just solve for t when the stone hits the ground (its height is zero).
September 4, 2014

Physics
Hmmm. bobpursley is usually right on these matters. I'll have to think on it a bit to see why the initial height makes no difference.
September 4, 2014

Physics
the time for the pellets to hit the ground is A: h + 36.3t - 4.9t^2 B: h - 36.3t - 4.9t^2 I expect you will need to know h (the height of the cliff) to solve for the two values of t and take their difference. A: t = (-36.3 ±√(1317.69+19.6h))/9.8 B: t = (36.3 &...
September 4, 2014

Math (data)
good riddance to the bums.
September 4, 2014

algebra
the arrow points to the smaller number 6 < x means six is less than x x > 2 means x is greater than 2 <= means less than or equal >= means greater than or equal So, you want -6 < x < 6 think of the point of the arrow as small, so it's next to the smaller ...
September 4, 2014

MATH
one way is to convert all to decimals and compare. the other way is to recall that for a given numerator, the larger the denominator, the smaller the value. That is 1/10 is less than 1/7, and so on Now, you have several numbers which are all greater than 2 by some amount Those...
September 4, 2014

Math
if there are x yellow cars, there are 9x white cars so, add them up: x + 9x = 40 10x = 40 x = 4 Now you know how many yellow cars there are, so you can figure out how many white ones there are.
September 4, 2014

math
the domain of y is all real numbers except odd multiples of 1/2. So, your logic is sound, but the domain is all reals except 1/2 + k for k in Z.
September 4, 2014

Mathematics for business & finance
sounds like a good deal. was there a question somewhere in there?
September 4, 2014

thank u
we aim to please...
September 4, 2014

Algebra 2
since the vertex occurs at x = -b/2a, y = a(-b/2a)^2 + b(-b/2a) + c = b^2/4a - b^2/2a + b = -b^2/4a + c
September 4, 2014

7th grade math
you want 3+x > 0 so, subtract 3 from both sides to get x > -3 so, pick any value greater than -3
September 3, 2014

geometry
6x+17 Maybe you could provide a bit more context here ...
September 3, 2014

Math
It is in fact C D is just a quadratic in (2/x-4), because if you substitute u=2/x-4, you have just 3u^2+5u-2=0 It is C because as you say, there is not a term with twice the exponent of the other.
September 3, 2014

math
25q + 5(2q) + 1(3q) = 760 38q = 760 q = 20 so, 20 quarters, 40 nickels, 60 pennies
September 3, 2014

MATH1112
In the first case, we have (1+p)(1-q) In the second case, we have (1-q)(1+p) Looks the same to me, and for the stated reason.
September 3, 2014

Math
since the height:shadow ratio is the same for both, h/21 = 68/96
September 3, 2014

Math 112
Bogus. 1% = 0.01 because "percent" means "per 100" 1 per 100 = 1/100 = 1% .01% means .01/100 = .0001
September 3, 2014

Honors Pre Calculus
Not sure what the little  characters mean, but unless (1-sinx)^2 = |cosx| it can't be true.
September 3, 2014

alegbra
the degree is the sum of all the powers of variables. If no power is given, then assume it is 1. SO, the terms have degrees 3,2+1,2,1+2 The degree of the polynomial is the highest degree among the terms. I see no like terms to combine
September 3, 2014

math
Ratios are written 3:4, not 3.4 Initially, r/y = 3/4 Later, (r-3)/(y-6) = 4/5 Solve those two equations to get r=27, y=36
September 3, 2014

AP Physics
total distance: 8.5-3.6 = +4.9 cm total time: 4.5 - (-1.5) = 6.0s avg velocity: +4.9/6.0 cm/s
September 3, 2014

math help!!
you have the difference of two squares (3n)^2 - 5^2 That should help.
September 3, 2014

algebra
-2a^2 / 24ab is not -12ab It is -a/12b because you have -(2a)(a) / (2a)(12b) and the 2a's cancel 6ab^2/24ab = (6ab)(b) / (6ab)(4) = b/4 12a^2b^3 / 24ab = (12ab)(ab^2) / (12ab)(2) = ab^2/2 Looks like you have some serious practice ahead. You can enter your expressions in ...
September 3, 2014

Physics
You know that the initial height is the constant term. So, the building is 50m tall The ball hits the ground when the height is zero. So, just solve for t when h=0 I assume you want to know how long the ball is at least 55m above the ground. It is only at 50m for an instant. ...
September 3, 2014

algebra
√(2-w) = w^2 2-w = w^4 w^4+2w-2 = 0 The solutions to that are not trivial. So, assuming you meant √2 - w = w √2 = 2w 2 = 4w^2 w = ±1/√2 Better try again. Ignoring the first two lines, once you get to (w+2)(w-10) I'm sure you meant (w+2)(w-1...
September 3, 2014

Math
the questions posted here need to provide full context. using those three digits, the only number which is even and less than 300 is 254
September 3, 2014

Math
which "other" number?
September 3, 2014

Honors Pre Calculus
assuming the person starts at the wheel's lowest position when t=0, that means that f(t) will look something like f(t) = -cos(t) The radius is 25 feet, so that makes it f(t) = -25cos(t) The axle is 25+4=29 feet off the ground, so f(t) = 29-25cos(t) since cos(kt) has period...
September 3, 2014

AP Physics
116 km/hr * 1hr/3600s = 116/3600 km = 0.03222 km
September 3, 2014

Science independent variable
other things being equal, I'd say the temperature.
September 3, 2014

algebra - repost
I assume that x^ means x^2. Usually the caret requires a numeric exponent. After all, it could be cubed (x^3) or something else. Given that, we have (-2a^2 + 6ab^2 - 12a^2b^3) / -24ab The rest is very difficult to parse. Why not try reposting using clear notation as I did ...
September 3, 2014

Math. Help Thanks!
since the plane descends 100 feet as it travels 5000 feet, clearly the slope is -100/5000 = -0.02 so, since y=100 when x=0, y = 100-0.02x Note that when x=5000, y = 0, and we have touchdown.
September 3, 2014

algebra 2
Use a number with exponents. 4(x-1)^2 - 8 4(x^2-2x+1)-8 4x^2-8x+4-8 4x^2-8x-4 You must multiply the 4 by each term in the parentheses, not just the first one. 4(2+6) = 4*2 + 4*6 = 8+24 = 32 NOT 4(2+6) = 4*2+6 = 8+6 = 14 after all, 2+6=8, and 4*8 = 32
September 3, 2014

11 Physics
surely you have similar question that you can study. You know that the initial height is the constant term. So, the building is 50m tall The ball hits the ground when the height is zero. So, just solve for t when h=0 I assume you want to know how long the ball is at least 55m ...
September 3, 2014

Algebra 2
sorry (-3)^2 = (-3)(-3) = +9
September 3, 2014

math
If the 4th person invested y, then 1,000,000 + x + 2x + y = 1,100,000 But y is as much as the other three together, so y+y = 1,100,000 y = 550,000 I'm sure you can now find the other answers.
September 3, 2014

Math
You cannot locate √-15 on the real number line, because it is not a real number. √(94^3) = (√94)^3 = 9.695^3 = 911.364
September 3, 2014

Math
hint: 7 > 6 > 5
September 3, 2014

math
clearly each pack of wax has enough wax to make 2 candles (14/7 = 2). So, now can you figure how many candles can be made from 8 packs of wax?
September 3, 2014

math
1.50/3.75 = 0.4 = 40%
September 3, 2014

Math
First, you have to know how to factor numbers. 55 = 11*5 22 = 11*2 The only factor which is common to both is 11, so you have 11*5 + 11*2 = 11(5+2)
September 3, 2014

maths
If you draw a diagram, and mark the spot on the rim, you can draw a radius to the point. That radius will be the hypotenuse of a triangle, such that (r-1)^2 + (r-8)^2 = r^2 so, r=13 Hence, the diameter is 26 inches
September 3, 2014

math
Just to be clear, the number has to be at least 1.0 and less than 10. In interval notation that would be a number in [1.0,10.0)
September 3, 2014

Physics
original acceleration is a 1/2 at^2 = 37 v = at new acceleration is 2a since v = 2at, new time is (2.3v)/(2a) = 2.3at/2a = 1.15t new displacement is 1/2 (2a)*(1.15t)^2 = 2*1.15^2 at^2 = 5.29*37 = 195.73 m
September 3, 2014

Math/chem
you gave the formula: 25°C/7min = 25/7 °C/min
September 3, 2014

mathematics1
exposition is murky, but the result is correct.
September 3, 2014

Math
Well, is 11 between 30 and 40?
September 3, 2014

calculus
If this is a typical problem, then if he lands at a distance x from A, then the distance on water is √(x^2+5^2) and the distance on land is 6-x So, the time taken is t = √(x^2+25)/2 + (6-x)/4 dt/dx = x / 2√(x^2+25) - 1/4 = (2x-√(x^2+25)) / 4√(x^2+...
September 3, 2014

math
(7+16+20+12+8+18)/6 = ?
September 3, 2014

calculus
πr^2 h = 1000, so h = 1000/(πr^2) surface area is a = 2πr^2 + 2πrh = 2πr^2 + 2000/r da/dr = 4πr - 2000/r^2 = 4(πr^3 - 500)/r^2 da/dr=0 when r = ∛(500/π) thus, h = 100/∛(250π) Do the other along the same way.
September 3, 2014

math
#1. P(x) = x^2(x^2-9) = x^2(x-3)(x+3) x-intercepts are clearly 0,-3,3 P(0) = 0 for the y-intercept.
September 3, 2014

math
I'll do #1. You can try the others. 625 = 5^4, so f(x) = 1/5^x or 5^-x
September 3, 2014

calculus
As usual, draw a diagram. If x is the distance of the beam from the perpendicular line to the wall, then x/8 = tanθ x = 8tanθ So, dx/dt = 8sec^2θ dθ/dt When θ = π/6 (and that's pi, not pie!!) dx/dt = 8(4/3)(20*2π) = 1280π/3 m/s
September 3, 2014

calculus
Draw a diagram. d^2 = x^2+6^2 2d dd/dt = 2x dx/dt When d=10, x=8 Now plug in your values.
September 3, 2014

calculus
this is exactly analogous to your other problem with the revolving spotlight. See what you can do for it. Here, you are solving for dθ/dt instead of dx/dt.
September 3, 2014

Root Words
well, ambi- means two, so I guess that is more than one. I'd give my right arm to be ambidextrous!
September 3, 2014

Algebra
2√18 - 5√32 + 7√162 2√9√2 - 5√16√2 + 7√81√2 I think you can take it from here, no?
September 3, 2014

Math
I'd say any 5-digit number is greater than any 4-digit number.
September 3, 2014

Math
3% = 0.03 1/4 % = 0.0025 The proposed answer is incorrect, and so is yours. I think, however, that yours is a typo.
September 3, 2014

math
all polynomials have domain of all reals No polynomial has any kind of asymptote x^2-6x+5 = (x-3)^2 - 4 So you can find the vertex, which is a minimum. Since the vertex is farther away from x=-1 than it is from x=6, f(-1) > f(6) Since f(3-x) = f(3+x), it is evidently not 1:1.
September 3, 2014

algebra
If the dimensions are x and y, 2x+y=120 xy = 1350 Solve that to get x and y. There are two possible solutions. Note that the area is xy = x(120-2x) = 120x-2x^2 That's just a parabola. The vertex represents the maximum area.
September 2, 2014

math
for any color, just divide its number by the total to get the fraction desired.
September 2, 2014

math
have you no calculator? or, just type that into google for any calculations. You might want to use / for division.
September 2, 2014

math
of course it is. It's just a different proportion.
September 2, 2014

math
c = .026*60000 + .034*(89400-60000) = 2559.60
September 2, 2014

Numerical Analysis
consider the table for the two functions shown x f(x) g(x) -5 -350 0 -4 -176 1 -3 -72 2 -2 -20 3 -1 -2 4 0 0 5 1 4 6 2 28 7 3 90 8 4 208 9 5 400 10 It is clear that f(x)=g(x) somewhere in [1,2], since f(x)<g(x) when x<1 and f(x)>g(x) when x>2. Or, if you rearrange ...
September 2, 2014

Math
1.2^0 / 1.8^2 = 1/1.8^2 I suspect a typo, as we haven't really gone anywhere.
September 2, 2014

Calculus
If we call A's position at noon (0,0) then we have the positions of A and B after t hours A: (12t,0) B: (0,60-9t) The distance is thus d^2 = (60-9t)^2 + (12t)^2 = 225t^2-1080t+3600 At t=2, d=√(42^2+24^2)=√2340=48.37 So, at any time t, 2d dd/dt = 450t-1080 Now ...
September 2, 2014

Math
Perimeters are in the same ratios as the sides. You are unclear which rectangle is which, but I am assuming the larger one has perimeter 65, so the smaller one has perimeter 65 * 2/5 = 26 You are correct.
September 2, 2014

Math
Doesn't matter how many squares there are. The board is square, so each side is √11 = 3.3 cm must be a travel set. I suspect a typo.
September 2, 2014

Calculus
any line through (8,4) in the first quadrant is y-4 = m(x-8) So, if the line in question has slope m, the x-intercept is 8-(4/m) and the y-intercept is 4-8m So, L = √x^2+y^2 = √((8-(4/m))^2 + (4-8m)^2) = -4/m √((m^2+1)(2m-1)^2) Of course, there are other ways...
September 2, 2014

algebra
assuming any partial tiles are thrown away, the floor is 16 x 6 tiles So, 96 tiles are needed So, 5 boxes of 20 must be purchased, for $270
September 2, 2014

Algebra 2
If you will enter your expressions at wolframalpha, you can check your answers. Be sure to use enough parentheses so things are right. The web site will show you how it interprets your input.
September 2, 2014

MATH
start out with x x x x x minimum=5: 5 x x x x range=7: 5 x x x 12 median=9: 5 x 9 x 12 Now you can fill in any other values fitting in those intervals.
September 2, 2014

math
do you not have a calculator? Just add the numbers. Heck, you can even just enter 21456+9087 into google and it will calculate the sum.
September 2, 2014

Algebra 2
a - 2a/5 = 3 you have to multiply everything by 5: 5a - 2a = 15 You only multiplied the -2a/5 and the 3.
September 2, 2014

Algebra1
I assume you want the value for C. When you have an equation, as long as you do the same thing to each side, it remains true. So, C+4 = -24 You want C by itself, so if you subtract 4 from both sides, you have C+4-4 = -24-4 4-4=0, and of course, C+0 is just C, yo now you have C...
September 2, 2014

math
what's to explain? Write the facts in symbols: p^2 + (p+5)^2 = 625 Now just solve for p and find p+5
September 2, 2014

Algebra
$/ml is what we want. So, of course, that means that x $ / y ml = x/y $/ml = z $/ml z = x/y
September 2, 2014

Algebra 1
you are correct. Keeping the units around can help with this kind of problem. 15 gal * y mi/gal = x mi Note that the gal units cancel, leaving mi on both sides of the equation. If the units agree at the end, chances are good that your calculations are correct.
September 2, 2014

Algebra 1
just convert everything to decimal, and then the listing is easy, right? -√9 = -3 is a rational number. As such, it is, of course, also real.
September 2, 2014

Algebra 2
1: correct 2: (∞,3]U(5,11] all values less than or equal to 11, except those greater than 3 and less than or equal to 5.
September 2, 2014

college algebra
(x^2+x-6)/(x^2-4) = (x-2)(x+3) / (x-2)(x+2) Now divide that by (x+3) / 2(x+2) or, equivalently, multiply by 2(x+2)/(x+3) Lots of factors cancel.
September 2, 2014

college algebra
since x^2-x-12 = (x-4)(x+3), just multiply top and bottom by (x-4) x/(x+2) + (4x-3) / (x+2)(x-2) requires a common denominator of (x+2)(x-2). So, just multiply the first term top and bottom by (x-2) and then just add the numerators.
September 2, 2014

math
width: w length: w+4 2(w + w+4) = 84 Now just solve for w and calculate w+4.
September 2, 2014

math
c(1+.60) = 2000 Now just solve for c.
September 2, 2014

math
The side shortened least is longest, so (x-14)^2 + (x-13)^2 = (x-12)^2 Now, we all know that the 3-4-5 triangle is the only one with sides which are consecutive integers. So, x-14=3, making x=17. Solving the equation gives the same result.
September 2, 2014

math
what's to explain? Write the facts in symbols: p^2 + (p+5)^2 = 625 Now just solve for p and find p+5
September 2, 2014

math
(x+y)y = 70 (y-x)x = 12 now proceed
September 2, 2014

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