Wednesday
August 24, 2016

Posts by STEVE

Total # Posts: 42,732

Geometry
I like C more. When the final arrives, he'll do better if he has reviewed and learned his previous material. D is just wishful thinking.
August 11, 2016

Math
4000(1 + .048/12)^(12*9) I'm sure your book has the formula A(1+r)^t you have to adjust it if the rate is compounded more than once per year. If monthly, then n=12 times per year. Thus, the monthly interest is 1/12 the annual rate, and there are 12 times as many ...
August 11, 2016

Calculus
see the related questions below. Solutions are provided, just using different values. If you get stuck, come on back with what you have so far. Try this one: http://www.jiskha.com/display.cgi?id=1226871282
August 11, 2016

Math
to get the graph, just graph them... To find where the graphs intersect, solve algebraically y^2-2x+2=0 and x-y-5=0 x=y+5, so y^2-2(y+5)+2 = 0 y^2-2y-8 = 0 (y-4)(y+2) = 0 Now you know y, so you can get the corresponding x values. 2x^2+3y^2=21 3x^2-4y^2=23 8x^2+12y^2 = 84 9x^2-...
August 11, 2016

Algebra simplifying fractions
5y(2y-1) / 5y = ?
August 11, 2016

Algebra
(m^2+mn)/(m^2-mn) = m(m+n) / m(m-n) = (m+n)/(m-n)
August 11, 2016

math
x + 2/3 x = 180
August 11, 2016

Vector , physics
by symmetry, it is clear that AB+AF = k1*AO AC+AE = k2*AO AD = 2AO Now you should be able to show that k1+k2 = 4
August 11, 2016

jangid
without going through all the algebra, recall that 120 = 5! = 1*2*3*4*5 That help?
August 11, 2016

Math
geez, 11 minutes? impatient much?
August 11, 2016

Math
If there are n cards, then n is a multiple of 2. so, you want an even number which is 3a+2 or 5b+1 a must be even and b must be odd. 26 = 3*8+2 = 5*5+1 = 2*13
August 11, 2016

Calculus
yes, those are the two values in the interval [0,2pi)
August 11, 2016

Algebra
3x5+4-2x2+6-4=15 since the only two odd numbers are the 3x5, and only the product of two odds or the sum of an even and an odd is odd, we must have either 3x(5...) or (3x5)+... see what you can do with that
August 11, 2016

Probability
well, 19 of the 20 stamps have some blue or red, right?
August 11, 2016

math
The 1st number is larger than the 2nd: a/b = (5/6):(2/3) = 5/4 So, a = 5/4 b = b * 1.25 so, a is 25% larger than b
August 10, 2016

Sum of geometric sequences
a=5 r=3 S10 = a(r^10-1)/(r-1) plug and chug
August 10, 2016

Calculus
better use implicit differentiation: e^(xy) = sinx e^(xy)(y + xy') = cosx x e^(xy) y' = cosx - y e^(xy) y' = (cosx - y e^(xy))/(x e^(xy)) but e^(xy) = sinx, so y' = (cosx - y*sinx)/(x*sinx) y' = (cotx - y)/x or, using logs, e^(xy) = sinx xy = ln(sinx) y + ...
August 10, 2016

Calculus 1
try using the binomial expansion. You will see that the expression is e^(6/x)^(x/2) + (x/2)e^(6/x)^(x/2-1)(8x) + ... = e^3 + 4x^2*e^3/e^(6/x) + ... where all the rest of the terms ->0 so, the limit is e^3
August 10, 2016

Calculus
surely you can find the derivative of both top and bottom, no?
August 10, 2016

science
clearly, that would be 400N/cm^2
August 10, 2016

MATH
what sentence? All I see is an expression.
August 10, 2016

Geometry
15 seconds * 5rpm = 5/4 rev So, after 15 seconds, it has rotated 1 1/4 times. I am also having trouble getting the given matrix. How does it rotate? What is the axis of rotation?
August 10, 2016

Chemistry
since 1mL = 1 cm^3, 16.3 cm^3 * 10.5g/cm^3 = 16.3*10.5 g
August 10, 2016

Chemistry
use the density of Al to find the volume occupied by 54g g ÷ gm/cm^3 = cm^3
August 10, 2016

Pre-Calc
There are no intervals involved. since sin(π/4) = 1/√2 the principal value of arcsin, Sin^-1(1/√2) = π/4 But, since there are many other angles, sin^-1(1/√2) = π/4 or 3π/4 and since the period of sin(x) is 2π, sin^-1(1/√2) = &#...
August 10, 2016

Math
If you mean scale factor, then you multiply whatever dimensions you have by the scale factor.
August 10, 2016

algebra
12/2 (2a+11d) = 168 a+6d = 7 Now just solve for a and d.
August 10, 2016

Math
try 500x > 5280 or, x > 5280/500
August 10, 2016

math
minor sector: a = 1/2 r^2 θ = 1/2 * 25 * π/3 = 25/6 π no idea where A and B are, but angles do not have areas. minor segment: 1/2 r^2 (θ-sinθ) = 1/2 * 25 (π/3 - √3/2) arc length = rθ = 5 * π/3 = 5/3 π I see you found the area ...
August 10, 2016

Maths
in English, there are no ands in writing large numbers. So, four hundred one thousand eight hundred nine = 401,809
August 10, 2016

History
thank you
August 10, 2016

History
Many changes occurred to the a freedman's life during reconstruction. Which of the following freedoms did these individuals gain? 1- right to legalize a marriage and raise a family 2- freedom to choose where to live 3- freedom to establish churches and community centers 4...
August 10, 2016

Math
compare the unit prices: $5.99/2L = $2.995/L and $2.95/.75L = ? $/L
August 10, 2016

math
100-(80+85-73) = 8
August 10, 2016

probability statistics
For A and B, just divide the number of your color by the total. For example, P(blue) = 7/20 D is a trick question.
August 10, 2016

algebra
ok - what is the cost? did you use an editor?
August 10, 2016

algebra - typo
what does ^0.3x mean? should there be an x^2 in there somewhere? or just .03x ?
August 10, 2016

math
Efa started out right, but then lost track of the math. 100% is 10 times 10% So, the full tank is 10 times 30L = 300L
August 10, 2016

physics
PV=k so, P*8 = 48*15
August 10, 2016

Math
7 days @ 6 per day is 42 eggs for the week. So, add up the rest and see how many were needed to get to 42.
August 10, 2016

chemistry
well, you can start off with 2NH3 = N2 + 3H2 now start by changing moles
August 10, 2016

Discrete Mathematics and its Application
By "truth" do you mean a truth table? If so, just list the 8 rows and the 8 values of the functions, and it is easy to show which are equivalent.
August 9, 2016

Math
In terms of cm, 57m 50cm = 5750cm 22m = 2200cm The greatest common factor can be found using 5750 = 2 * 5^3 * 23 2200 = 2^3 * 5^2 * 11 So, the GCF is 2*5^2 = 50 Using 50cm stones, the courtyard is 115x44 = 5060 stones
August 9, 2016

math
huh? None of the above. The total marks for the 10 students is 10*8 = 80 I suspect you have left out something, like the size of the group.
August 9, 2016

Reposting question- Pre-calc
Excuse me?? Can you not just plug in the x-value? y = 5cot(-2x) so, at x = π/6, y = 5cot(-2 * π/6) = 5cot(-π/3) = -5cot(π/3) = -5/√3
August 9, 2016

Maths
See the related questions below. A good one is http://www.jiskha.com/display.cgi?id=1353315962 not quite yours, but very close.
August 9, 2016

Mathematics
In English, I think this reads A parking lot has a capacity of 75 cars. If 3/5 of it is full at one time, how many more cars can be parked? Well, 3/5 of 75 is 45, so what do you think?
August 9, 2016

Maths
google cylinder inscribed in cone and you will find may expositions of a cylinder inscribed in a cone of base radius R and height h. The only twist to your problem is that you have h and α instead of h and R. If you draw a side view, it its clear that R/h = tan α Now...
August 9, 2016

Math
e^(.09t) = 2 now solve for t years
August 9, 2016

Math
5 * 12.3 = 61.5 That is the total of the 5 numbers with that average. So, the missing number is 61.5 minus the sum of the first 4 numbers.
August 9, 2016

math
497
August 9, 2016

math
One thousand people stood in a very large circle. Each starting with the Jennifer Lopez look alike, wore a sign on his or her back with a numeral from 1 to 1000 in a clockwise sequence. They began counting off. The Jennifer Lopez look alike said one in and remained in the ...
August 9, 2016

math
42
August 9, 2016

ap chemistry
(3 mole N)/(1 mole Al(NO3)3) * (.75 mole Al(NO3)3)/L * 0.40L = (0.9 mole N)
August 9, 2016

Science
(3x)^2 + (5x)^2 - 2(3x)(5x)cos120° = 28 9x^2 + 25x^2 +15x^2 = 28^2 x = 4 So, the two forces are 12 and 20 check: <12,0> + <10,10√3> = <22,10√3> magnitude is 28
August 9, 2016

Mathematics
If you mean (1+ax)/(1-ax) = p/q q(1+ax) = p(1-ax) q + aqx = p - apx aqx+apx = p-q x(ap+aq) = p-q x = (p-q) / a(p+q)
August 9, 2016

science
think of a weight w on a horizontal plane (θ=0). All of the force is downward. That means that perpendicular is w*cosθ parallel is w*sinθ As the board is tilted, less and less is perpendicular, and more and more is parallel
August 9, 2016

Statistic
the possibilities are, of course, 0R 6W 1R 5W 2R 4W So, can you determine how many ways for each of those setups?
August 8, 2016

Calc - help needed
You did not read the domain carefully, nor did your points meet the requirements. All of your points are in QII and QIV, where tan(x) = -1/√3 The domain is [-3π/2,2π], and all of your points must lie in QI or QIII, where tan(x) > 0 That would mean that the x...
August 8, 2016

Algebra Quadratic Functions
as usual, the vertex is at s = -b/2a = 3/2 y(3/2) = 25/4 so far, so good. So, when does it hit the ground? When y=0, naturally. So, -s^2+3s+4 = 0 (s+1)(4-s) = 0 so, it hits the ground after 4 seconds.
August 8, 2016

statistics
Just as the median is the middle point in the range, the 1st quartile is the middle point in the lower half. Your data set is so small that it's hard to divide equally. But, the url below discusses it in some detail. https://en.wikipedia.org/wiki/Quartile
August 8, 2016

math quadratic functions
If x is one side, let y be the other. Then 4x+4y = 40 x+y = 10 y = 10-x The total area is thus a = x^2+y^2 = x^2 + (10-x)^2 = 2x^2-20x+100 a has a minimum at x = 20/4 = 5 As expected, minimum area occurs when the two squares are in fact equal.
August 8, 2016

Algebra Quadratic EFuncyoon
the maximum area is at the vertex of the parabola. That is always at the axis of symmetry, x = -b/2a In this case, that is at x = 100/4 = 25 2*25^2 - 100*25 = -1250 ??? Your function cannot be correct, since it is a parabola opening upward, and thus has no maximum. The ...
August 8, 2016

Math
6n+7p = 2170 If he had x cents left, then 7n+7p = 2170+x+30 6n+8p = 2170+x-50 x = 180 n = 210 p = 130 So, a notebook costs $2.10
August 8, 2016

Calculas
well, the slope is 3/4 so plug that into the other forms. y = 3/4 x + ? y-k = 3/4 (x-h)
August 8, 2016

Math
28-6n+7(5n-2)-2n 28-6n+35n-14-2n ...
August 8, 2016

Math
no, -130-48 = -178 if you think the other way around, the depth started at 130 and then was reduced by 48 as the penguin rose 130-48 = 82 or, as feet from the surface, -130+48 = -82 Get out your number line, and remember that negative means go left, and positive means go right...
August 8, 2016

Math
-130 + 48 = ?
August 8, 2016

How's that again?
you want to reword that so it makes sense?
August 8, 2016

Math
Nope. It's 8^-3, or 1/8^3 B
August 8, 2016

Maths B
.75m/s * 60s = 45m Draw a diagram. It will show that y cot 30° - y cot 50° = 45
August 8, 2016

Mathematics
7(x+4) - 2/3 (x-6) < 2(x-3(x + 5)) 7x+28 - 2/3 x + 4 < 2x - 6x - 30 19/3 x + 32 < -4x - 30 31/3 x < -62 x < -6
August 8, 2016

precal
I assume you mean 2sin2x - 2cosx = 0 4sinx cosx - 2cosx = 0 2cosx(2sinx-1) = 0 so, cosx = 0 or sinx = 1/2 so, there will be four solutions in [0,2π)
August 8, 2016

Physics - eh?
how can you have a depth of 10 meters per second ???
August 8, 2016

Math
4x+5x = 6.3 x = 0.7 So, the difference in the two pieces is 5x-4x = x = 0.7
August 8, 2016

Math
in 6 months, the 92000 will be worth 92000 * (1+.10/12)^6 = 96696.90 lop off 20% of the interest (4696.90) for taxes, he is left with 95757.02 Looks like he'll be better off waiting for the $100K in 6 mo.
August 8, 2016

Math
500 years is 2 half-lives. So, (1/2)^2 of the original amount will remain
August 8, 2016

physics
y = ax^2 + bx + c y' = 2ax+b y'(0) = tan60° = √3 so, b = √3 y = ax^2 + √3 x + c y(0) = 5, so y = ax^2 + √3 x + 5 y(60) = 10, so 3600a + 60√3 + 5 = 10 a = (1-12√3)/720 y = (1-12√3)/720 x^2 + √3 x + 5 = -0.027x^2 + 1....
August 8, 2016

math
1 - 1/12 = 11/12 1/2 * 11/12 = 11/24 3/5 * 11/24 = 11/40 11/40 * 12000 = ?
August 8, 2016

Math
6eggs/(3hens*4days) * 5hens * 8days = 20eggs
August 8, 2016

mathematics - eh?
try rewording that so it makes sense, ok?
August 8, 2016

science
magnet and water
August 8, 2016

Science
it is reduced by 1/2 each 25 min. 100 min = 4 * 25 so, (1/2)^4 remains
August 8, 2016

Math
well, just list them: 11 12 21 22
August 8, 2016

math
2/3 * 1/4
August 8, 2016

IIS math
how about: add the number of apples in the tree to those on the ground ??
August 8, 2016

Math
60 minutes for each hour, right?
August 8, 2016

Geometry! Please, HELP!
90-x = 1/5 (180-x)
August 7, 2016

precalc
Since v is an eigenvector, Mv = λv so, M^2 v = M Mv = M λv = λ Mv = λ^2 v So, M^n v = λ^n v a ={1,1,1} is an eigenvector because Ma = {4,4,4} = λa where λ=4 So, 4 is the eigenvalue of a If we call the eigenvectors a,b,c, then you can show ...
August 7, 2016

precalc
there are many eigenvalue calculators online. As for #3, there should be a proof in your text. The discussion about eigenvectors will show that they are a basis for the vector space.
August 7, 2016

Math
A 5m ladder leaning against a building forms a 30 degree angle with the wall. Find how high it reaches, and how far from the wall its base is.
August 7, 2016

trigonometric
As always, draw a diagram. If the tree has height h, then (61-h)/44 = tan 36°
August 7, 2016

Calc
f(x) = x^2+(1000-x)^2 = 2x^2 - 2000x + 1000000 f' = 4x - 2000 f'=0 at x=500 f' < 0 for x < 500, so f is decreasing f' > 0 for x > 500, so f is increasing so, f(1000) > f(998) because f is increasing at that point
August 7, 2016

calculus
well, you know that cos(x) = 1 - x^2/2! + x^4/4! - ... so, cos(x^2) = 1 - x^4/2! + x^8/4! - ... Now just multiply that by x. See http://www.wolframalpha.com/input/?i=x+cos(x%5E2)
August 7, 2016

Calculus with analytic geometry
all polynomials have a domain of (-∞,∞) Rational functions do too, except where the denominator is zero. So, f(x) has a domain of (-∞,1)U(1,∞) Near x=1, 2x^2-8 is near -6. So, for x<1 y->∞ x>1 y->-∞ So, f(x) has a range of (-&#...
August 7, 2016

algebra
is there a question in there somewhere? If you think about it a bit, you probably can figure it out.
August 7, 2016

Math calculus
v = s^3 dv/dt = 3s^2 ds/dt now just plug in your numbers.
August 7, 2016

Physics
as usual, rms is peak/√2
August 7, 2016

math
just subtract 3 from 10.
August 7, 2016

math
1007544
August 7, 2016

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