Tuesday
May 24, 2016

Posts by Steve

Total # Posts: 40,769

MATH
great post!
April 28, 2016

Army school science
Sorry i was haste in my reply, the answer is actually defined by e=mc^2 unit vector as proven by einstein
April 28, 2016

Army school science
initial means "at the start" I assume you know what velocity is. So, you are talking about the speed of something at the start of some process.
April 28, 2016

Calculus
just use the usual distance formula. The distance between (a,b,c) and Ax+By+Cz+D=0 is |Aa+Bb+Cc+D|/√(A^2+B^2+C^2)
April 28, 2016

Algebra
You can use =/= for not equal. Or, you can find a site with math symbols, and copy/paste the ≠ character. How can you choose both A and C? (x+7) is a common factor, so A is the choice. Similarly, the second one is B. check your math.
April 28, 2016

programming
cool.
April 28, 2016

Complex Numbers
you've been posting this over and over. Did you think of google? Many problems posted here have appeared elsewhere. My first hit on google discusses this problem and one similar to it. Scroll down about halfway and you will find what you need. http://math.stackexchange.com...
April 28, 2016

permutations
there are 3! ways to arrange 3 things.
April 28, 2016

math
1/2 + 3/8 = ?
April 28, 2016

mathematics-Remainders theorem
using mod 21, 17^2^1 ~ 16 17^2^2 ~ 4 17^2^3 ~ 16 ... so, if n is odd, 17^2^n ~ 16 mod 21
April 28, 2016

algebra
x+y+z = 24 2x = z-2 z = x+y Now just solve for x,y,z
April 28, 2016

Math
12*6*3 ft^3
April 27, 2016

math
v = 50 * 4pi/3 * 8^3 a = 50 * 4pi * 8^2
April 27, 2016

Math
s/6 = (s+4)/20
April 27, 2016

Math
If he started with f foreign and g local stamps, then we have 3f/4 = g-11 3f = 4g-44 4g-3f = 44 so, if g=32, f = 28 But there are lots of other possibilities.
April 27, 2016

Math
e = d+12 (2/3 e)/(d + e/3) = 5/7 Ethan gave Dakota $10
April 27, 2016

Math
he drove for 6 hours at 60 mph, or 360 miles 70% of 360 = 252 25% of 108 = 27 360-(252+27) = 81 since time = distance/speed, 252/65 + 27/54 + 81/x = 6 x = 10530/211 ≈ 49.9 mph
April 27, 2016

Honors Algebra 1
If there are d donations totalling m dollars, then the charity receives t = 2d+m that means the average is a = (2d+m)/d = 2+m/d If the total of donations is exactly 500 as desired, then a(d) = 2 + 500/d
April 27, 2016

Physics Volume question!!!
since the range is proportional to the square of the initial velocity, if it has increased by a factor 4, the initial velocity has doubled. Since the volume of water stays the same, that means that the area of the opening has been halved.
April 27, 2016

Pre-Calculus
y = kx 6 = 4k, so k = 3/2 y = 3/2 x
April 27, 2016

PreCalc
Reiny is right: 42.5, not 37.5 but I'm sure you caught my error. Note how he offset his function by using a phase shift, which has the same effect as changing the sign as I did, since shifting by 1/2 period does that flip: cos(x+pi) = -cos(x)
April 27, 2016

PreCalc
the max-min value is 50-35=15, so the amplitude is 7.5. The center line is (35+50)/2 = 37.5 y = 7.5 sin(x) + 37.5 y has a max at t=12, and the period is 24 hours, so the minimum k is a t t=0. cos(x) has a max at x=0, so we have -cos(x) and thus y = -7.5 cos(π/12 x) + 37.5...
April 27, 2016

math
2":4ft = 2":48" = 1:24
April 27, 2016

Math
lose the apostrophe in one's, unless you also write event's and coin's and cloud's... independent events do not affect each other. So, I'd choose A,D,E
April 27, 2016

Math
4/35 = .114 = 11.4% However, the sum of your listed colors (and one color is missing and one is duplicated) does not equal 35.
April 27, 2016

prealgebra
If you mean 6P2 (permutations of 6 things, 2 at a time), then yes, the answer is 6*5 = 30
April 27, 2016

prealgebra
could be, depending in the value of P. and what does P2 mean?
April 27, 2016

Trig
since sin^2θ is never more than 1, you need cos^2θ = 0 so, θ = π/2 or 3π/2 or, solving algebraically, sin^2θ = cos^2θ + 1 cos^2θ - sin^2θ = -1 cos(2θ) = -1 θ = π/2 or 3π/2
April 27, 2016

Geometry
2πr(r+h) = 112π 8π(4+h) = 112π 4+h = 14 h = 10
April 27, 2016

algebra
slope = -13 now you can plug that into the point-slope form, using either point.
April 27, 2016

Math
if the length is L, then you know that 1.8L = 18900 so, divide by 1.8 to get L. If the width is in cm, then you will also get L in cm, so divide that by 100 to get L in meters.
April 27, 2016

Math
the area is 18900/100^2 = 1.89m^2 so, the length is 1.89/1.8 m
April 27, 2016

Algebra
2(x + 6x) = 420 x = 30
April 27, 2016

Calculus
just plug and chug f(x) = f(2) + f'(2)(x-2)/1! + ... f(2) = 1/2 f'(2) = -1/x^2 = -1/2^2 = -1/4 f"(2) = 2/x^3 = 1/4 f(3)(2) = -6/x^4 = -3/8 f(4)(2) = 24/x^4 = 3/4 f(x) = 1/2 + (-1/4)(x-2)/1! + (1/4)(x-2)^2/2! + (-3/8)(x-2)^3/3! + (3/4)(x-2)^4/4! + ... = 1/2 - 1/4 (...
April 27, 2016

Calculus
From 0 to π/2, 4cos(x) is above 8-4x/π, so the area would be ∫[0,π/2] (8-4x/π)-4cos(x) dx = 7π/2 - 4 But there is a second symmetric region between π/2 and π, so the area is double that, or 7π-8 see http://www.wolframalpha.com/...
April 27, 2016

algebra
Apparently you mean tn = 75^(5n) = (75^5)^n tn+1 = tn * 75^5
April 27, 2016

Math(Radicals)
2√6 (3√2 - 12) = 6√12 - 24√6 = 12√3 - 24√6
April 27, 2016

maths
come on - you have the formulas. plug in your numbers. We can check your results. and that's alpha, not alpher.
April 27, 2016

Math
log(y+3) = log(x^3/(x-2)) y+3 = x^3/(x-2) y = x^3/(x-2) - 3
April 27, 2016

Logs
assuming base 10, log(3x-13) = log100 - logx log(3x-13) = log(100/x) 3x-13 = 100/x 3x^2 - 13x - 100 = 0 (3x-25)(x+4) = 0 x = 25/3, since x = -4 is not allowed.
April 26, 2016

math
well, the extra 4 balls added 3.160-2.040 = 1.12g Now you know how much each ball weighs, so you can figure the mass of the box.
April 26, 2016

math
Since the tank has a cross-section area of 100π in^2, each in^3 of ball raises the water level by 1/(100π) in. So, figure the volume of the ball and multiply.
April 26, 2016

Arithmetic sequence
so, follow the hint. add them and multiply them.
April 26, 2016

Geometric series
apparently you have a = 1 r = -1/√2 S20 = a(1-r^20)/(1-r) = 1023/(512(2+√2))
April 26, 2016

Pre-Calculus
g(x) has two branches, so g^-1(x) = ±√(x-7) in either case, the domain is all x such that x-7 >= 0 just as the range of g(x) is [7,∞)
April 26, 2016

trig
34 mi/hr * 1hr/60min * 12*5280in/mi * 1rev/(14π in) = 816.33 rev/min
April 26, 2016

math
Reiny did this. See the related questions below.
April 26, 2016

Math
There are lots of solutions, such as 1/2*6+8*5*7/4+3*9 = 100 4/8*6+2*5*7/1+9*3 = 100 8/4*7+6*9*3/2+1*5 = 100
April 26, 2016

Math
42
April 26, 2016

Algebra Help me Please
the y-intercept is the constant term the end behavior is y->∞ or y-> -∞, as with all polynomials. the only other features of interest are the x-intercepts. A little synthetic division will reveal those.
April 26, 2016

math
anyway, since 2/3 of the odd numbers on a regular die are primes, that means that a prime will come up 2/9 of the time.
April 26, 2016

math
since odds come up 1/3 of the time, I guess it depends on how many of the odd faces are primes. You haven't said how many faces are on the die.
April 26, 2016

Logs
since logs are only defined on positive numbers, we need x^2+14x > 0 x(x+14) > 0 You know that this parabola crosses the x-axis at -14 and 0, and since it opens up, it is positive everywhere except between the roots. So, the domain is (-∞,-14)U(0,∞)
April 26, 2016

scte
you forgot the frequency. anyway, once you have that, just plug in v = L di/dt and crank it out.
April 26, 2016

Algebra
2*6 = 12 (total length of pythons) 21-12 = 9 (amount left for the corn snakes) 9/3 = 3 feet per corn snake c = (21-2*6)/3
April 26, 2016

Math/Precal
(9^2x)/(27^x-2)=81^3x-4 since 9 = 3^2 and 27 = 3^3, this is 3^(4x) / 3^(3x-6) = 3^(12x-16) 4x-(3x-6) = 12x-16 x+6 = 12x-16 11x = 22 x = 2 check: 9^4/27^0 = 81^2 yep
April 26, 2016

algebra
if the steamboat's speed is s, then since time=distance/speed, 147/s = 120/(s-9)
April 26, 2016

math
I have no idea how many times she rolled the die to get the 12 twos, but since 2 only comes up on average 1/6 of the time, she can expect about 16 twos in 100 rolls.
April 26, 2016

Math-check my answers!!!
you can easily check your work by typing in your expressions at wolframalpha.com It will show how they can be simplified, and much other information as well.
April 26, 2016

math
0.10 (1+r)^(2016-1948) = 85 (1+r)^68 = 850 1+r = 1.104 r = .104 or 10.4%
April 26, 2016

Math
B = F+6 (B-22)+(F-22) = (B+F)/2 Try that. Your solution indicates that when they last met, they were 6 and 14. But 6+14 is not half the sum of their ages today.
April 26, 2016

Math
Two old friends meet. They hadn't seen each other in 22 years. Betty is 6 years older than France's, but neither is older than 50. The sum of their ages when they met is exactly half of their ages today. How old is Betty? B= F+6 B=50-22 =28 F =50 -22=28 B=28+6=34 Betty...
April 26, 2016

Math
stop guessing, and try the various functions! Just plug in a value for x and see whether the y also matches. -8*2 - 5 = -21 -8*5 - 5 = -45
April 26, 2016

Math
A? c? d? help meh
April 26, 2016

Math
nope. check again.
April 26, 2016

Math
The ordered pairs (2,-21) and (5,-45) are solutions to which of the following equations? y = -8x - 5 y = -8x + 5 <---- my answer y= 8x - 5 y= 8x + 5
April 26, 2016

maths
(2x+y+7) - (x-y) = (x-y)-2 (x-3y)-(2x+y+7) = (x-y)-2 x=2, y=-3 ...
April 26, 2016

maths
n/2 (2*2 + (n-1)(5/4)) = 204 n = 17
April 26, 2016

maths
Figure how many terms there are (n) Sn = n/2 (39+380)
April 26, 2016

maths
clearly the limit is -0.3
April 26, 2016

maths
Tn = 5 + 7(n-1) = 7n-2 S38 = 38/2 (2*5 + 37*7)
April 26, 2016

maths
do you recognize powers of 3?
April 26, 2016

physics
Let the speed of sound be s. Then the time taken for the splash to be heard is 45/s seconds. That means that the stone fell for 3.12 - 45/s seconds. You know that stone fell 45m, so 5(3.12-45/s)^2 = 45 s = 375 m/s not too close to the expected value of 343 m/s...
April 26, 2016

Calc 2
an+1/an = e^-3 (1 + 2/n + 1/n^2) that ratio is less than 1, so the series converges. see http://www.wolframalpha.com/input/?i=sum+n^2%2Fe^%283n%29
April 26, 2016

Math
44 - 0.95 * (54-34) = 25
April 26, 2016

Math
7+9=16 80/16 = 5 7:9 times 5 is 35:45
April 26, 2016

math
well, 3000 ml is 3 liters.
April 26, 2016

math123
42
April 26, 2016

College Algebra
just find t where 15 e^(-0.051t) = 1
April 25, 2016

algrea brs so hard
your parentheses do not balance. is m7 m*7 or m^7 ? if all you want is to expand it, use the distributive property.
April 25, 2016

math
1/3 for each son. if each ate 1/2 of his share, then 1/2 of the pie was eaten, leaving 1/2 uneaten. You can see that the number of slices does not matter here.
April 25, 2016

Maths Urgent please
well, assuming you meant g(x) = (1/16 + x)^(-5/4) g'(x) = (-5/4)(1/16 + x)^(-9/4) using the chain rule for g(x) = u^n and u = (1/16 + x) do that again for g", and evaluate the fractions.
April 25, 2016

Maths Urgent please
so, what do you get for g'(x)?
April 25, 2016

Calculus II
Looks good to me.
April 25, 2016

Calculus
since the radius is 3/4 the height, The volume of the pile is thus v = π/3 r^2 h = π/3 (3h/4)^2 h = 3π/16 h^3 dv/dt = 9π/16 h^2 dh/dt now, plugging in your numbers, at t=3, v = 3/2, so 3π/16 h^3 = 3/2 h = 2/∛π so, 9π/16 4/∛π^...
April 25, 2016

math
huh? How much do you make on regular days? It will be 1.5 times that much.
April 25, 2016

Math
the given line has slope 1/3 so, perpendicular lines will have slope -3 The line you want is thus (using the point-slope form): y+2 = -3(x-6) or, if you prefer, y = -3x + 16
April 25, 2016

Calculus II
no, but x^(4n+2) will work. duh.
April 25, 2016

Calculus II
squaring the entire series would be (sin x)^2, not sin(x^2) Just replace all the x's with x^2. ∑(-1)^n[(x^2)^(2n+1)]/(2n+1)!
April 25, 2016

Length of similar shapes
25/10 = 5/2 all of the other dimensions are multiplied by that same ratio.
April 25, 2016

Calculus
the separation distance z after t hours is found using z^2 = (200t)^2 + (150t)^2 so, find dz/dt when t=2
April 25, 2016

Math
The medians of the triangle all pass through the center of the circle. The medians intersect 2/3 of the way to the opposite side. The altitude of the triangle is also one of the medians, and it has length 10√3. So, r = (2/3)10√3 = 20/√3 For an equilateral ...
April 25, 2016

Roots, complex numbers
huh? negatives are just numbers, like positives. z^5 = -1 = 1 cisπ z = 1^(1/5) cis(π/5) but since cisπ = cis3π = cis5π, etc., to get all the values from 0 to 2π, z = 1 cis(π/5 k) where k = 1,3,5,7,9 Reiny went over this with you. There are 5 ...
April 25, 2016

Math/Precal
sorry. I meant logy(8y-7)
April 25, 2016

Math/Precal
depends on what you mean by "solve" It is log7(8y-7)
April 25, 2016

math
depends on the table.
April 25, 2016

Math
Does 34 mean 3/4? How can Ava give 920 cranes, when she only made 100? anyway, start writing down the amounts, adding and subtracting as required. At the end, subtract Ava's from Brittany's.
April 25, 2016

Math
yep
April 25, 2016

Calculus
v = 4π/3 r^3 dv/dt = 4πr^2 dr/dt Now just plug in your numbers.
April 25, 2016

Calculus
plug and chug x^2+y^2 = 25 2x dx/dt + 2y dy/dt = 0 Now you have x, y, dx/dt, so find dy/dt
April 25, 2016

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