Saturday
February 6, 2016

Posts by STEVE

Total # Posts: 37,412

CHEMISTRY
42
December 7, 2015

Math
We have the point (15,450) and a slope of 4. So, using the point-slope form of the line, we choose (b)
December 7, 2015

Math
If the shortest side is x and the middle length is y, then x + y + 2x = 19 But 2x is also x+y-3, so y=x+3, and x + x+3 + 2x = 19 x = 4 and the sides are 4,7,8
December 7, 2015

physics
since work = force * distance, which is greater fd or (2f)(3d) ??
December 7, 2015

computer
rats. The above loop will include the terminating 999 in the sum. It is a simple change to stop before including it.
December 7, 2015

computer
as the numbers are accepted, keep track of the smallest. That way there is no need to do a sort later on. read least sum=least val=least WHILE val ne 999 DO   read val   sum += val   least = val if val < least DONE print least,sum Of course, an...
December 7, 2015

Math trigonometry
Looks good to me.
December 7, 2015

math
34m+14 = 30m+22
December 7, 2015

Maths
(2sin+1)/cos = 4cos 2sin+1 = 4cos^2 2sin+1 = 4 - 4sin^2 4sin^2 + 2sin - 3 = 0 Now just solve the quadratic for sin x, and you can then get x.
December 7, 2015

Math
V = 1/3 Bh If the base has side x, then we see that h=x-2, so 1/3 x^2(x-2) = 25 You can solve the cubic, but it's easier just to note that 5*5*3 = 75
December 7, 2015

Math
all you really need is the $85 price. A 15% discount gives $72.25 No mention is made of adjusting for profit or costs.
December 7, 2015

Calculus
if u = e^x you have du = e^x dx ∫√(1+u^2)/u du Now you can use a trig substitution to get around that mess.
December 6, 2015

Calculus
A more general solution is found below; you can plug in your numbers. http://www.freemathhelp.com/forum/threads/70982-surface-integrals-spherical-cap
December 6, 2015

Calculus
the cone intersects the sphere where x^2+y^2+(x^2+y^2) = 81 x^2+y^2 = 81/2 that is a circle of radius 9/√2 in the plane z=9/√2 That means the spherical cap has a height of 9(1-1/√2). There are many sites which can give you the formula for that. As for the ...
December 6, 2015

Applied Calc
everything is just perfect. -1/5 is just a number. Since du = -5x^4 dx, the x^4 dx in the integrand becomes -1/5 du Now just do the integral, and you have -1/5 ln(u)+C
December 6, 2015

Math
72.25 is what I get.
December 6, 2015

gk
how can more than all of the students do anything?
December 6, 2015

gk
1/4 * 1/2 * 2/3 = 1/12
December 6, 2015

trigonometry
6m * 50 * pi/180 = ?
December 6, 2015

Algebra
(21^2 + 9^2) = 22.847 But your screen has diagonal of 65. So, just multiply 9 and 21 by 65/22.847
December 6, 2015

calculus
A satellite is free falling from a distance "d" of the surface of the moon with radius "r", with zero initial velocity. At what rate does the area of the portion of the moon visible to the satellite decrease at a time "t" after the free fall ...
December 5, 2015

Math
avg speed = (total distance)/(total time) (3*45 + 5*55)/(3+5)
December 5, 2015

math
nope - direct variation direct: y=kx inverse: xy=k
December 5, 2015

y
a = Δv/Δt = (-18m/s) / (4.2s) = -4.86 m/s^2
December 5, 2015

Math(analytic geometry)
At a point (h,4√h) the parabola has slope 2/√h At a point (k,√(8-k^2)) the circle has slope -k/√(8-k^2) (Assume top branch of both curves.) We want the two slopes to be the same, and we want the slope to be ∆y/∆x, so 2/√h = -k/√(...
December 4, 2015

Algebra
low coefficient means the data do not cluster close to the line. So, not much confidence.
December 4, 2015

Algebra
numerator must be 1,2,3,4,6,12 denominator must be in 1,2,3,6 + or - also possible look for the easy ones first. I usually eschew fractions, so some trial and error produced 6x^3+13x^2-41x+12 = (x+4)(6x^2-11x+3) Now you can solve the quadratic by factoring or formula.
December 4, 2015

Algebra
What's wrong with using || symbols? Your keyboard surely has them. #1 ok #2 C |x+3| has x-intercept at -3, but y-intercept is +3.
December 4, 2015

Algebra 2
this one will not factor into rational roots 9r^2-5r-10 = 0 9r^2-5r = 10 (3r-5/6)^2 = 10 + (5/6)^2 = 385/36 3r - 5/6 = ±√385/6 3r = (5±√385)/6 r = (5±√385)/18
December 4, 2015

math pleaz help quick
((6.6×10^17)−(9.2×10^14))/(4×10^16) (6600x10^14 - 9.2x10^14)/(4x10^16) (6590.8x10^14)/(4x10^16) 1647.7x10^-2 16.477
December 4, 2015

Trigonometry
p: lbs of peanuts a: lbs of almonds c: lbs of cashews work with the weights: p+a+c = 140 p = 2a now, work with the values: 3p+4a+8c = 6*140 Now go for it
December 4, 2015

math help azap
as written, none of them. 17^5÷(17^6)(17^−3)/17^−2 = 1/17^2 17^5÷((17^6)(17^−3)/17^−2) = 1 so, (a) or (e) Put in some other parentheses and you might get other answers.
December 4, 2015

Algebra 2
well, x^2+2x-8 = (x+4)(x-2) that help?
December 4, 2015

Geometry
|MA| + |AT| + ... That is, the sum of the lengths of all the sides. But there's an easier formula, since MATH is a parallelogram...
December 4, 2015

algebra
The cost (c) for (m) minutes is: c = $25.00 + .45m If you think on it a minute, you'll see why this is so.
December 4, 2015

math
no, y = mx+b has slope m, and y-intercept at y=b You have it backwards. To find a point on the line, pick any value for x, and then find the corresponding value of y. Clearly the easiest value to try is x=0.
December 3, 2015

pre-cal
clearly that would be 3/8 of the area of the entire circle. I'm sure you know how to find the area of a circle... On the other hand, 3 consecutive seats subtend only two angles, so the area should be 2/8 of the circle, no?
December 3, 2015

pre-cal
clearly, that would be 20π/8
December 3, 2015

Math
the co- in the trig functions means co-mplementary angle. cos(x) = sin(90-x) cot(x) = tan(90-x) csc(x) = sec(90-x) #2 true. review the dot product. #3 eh? a vector and a scalar? #4 2*4 + 3*3 if * means dot product #5 <2+4,6+5> for the last one, use the law of sines to ...
December 3, 2015

MATH
solve what? replace x with whatever you want. So, f(t) = 6t-2
December 3, 2015

Geomertry
holy smoke! Where to start? The angles on a spherical triangle sum to more than 180, vs 180 in the plane. pick up any text on spherical trig and you can easily list a dozen things right off the bat.
December 3, 2015

Math
The enlarged rectangle has a new strip of 1/8 inch wide, meaning it is 5 inches long. If x grows by 1 inch (8 times as much), the area will also grow by 8 times as much, or 5 in^2. This assumes that y does not change in all the manipulations.
December 3, 2015

Math
not tricky at all, if you take the time to draw a diagram. Label the 4 base corners ABCD and the vertex P. Drop an altitude to the center of the pryamid's base, point Q. Draw a perpendicular line from Q to the center of one of the base sides. It meets at point R. Then, ...
December 3, 2015

Math
The above is gibberish. Why not post the question as it was given to you? The closest thing I can think of to your posting is Hora aderat briligi. Nunc et Slythia Tova Plurima gyrabant gymbolitare vabo; Et Borogovorum mimzebant undique formae, Momiferique omnes exgrabure Rathi.
December 3, 2015

Mathematics
assuming x-1 > 0, 4x+3 <= 2x-2 x <= -5/2 But we assumed x>1, so no joy there. If x-1 < 0, or x < 1, 4x+3 >= 2x-2 x >= -5/2 So, f(x) <=2 on the interval [-5/2,1) See this at http://www.wolframalpha.com/input/?i=%284x%2B3%29%2F%28x-1%29
December 3, 2015

Math
it will be 7/2 as big, since all the numbers to be added are 7/2 as big.
December 3, 2015

Math!
assuming the same f, f(t) = 6t-2 f(2) = 6*2-2 f(-3) = 6(-3)-2 and so on I am confused as to just what your question is. What's to solve?
December 3, 2015

PreCalculas check
as a quick check, go to wolframalpha.com and type in parabola 8x^2-20x-61/60 It will graph it and describe its properties. Same for the ellipse. As for #1, you must see that it cannot be a parabola. Not with both x^2 and y^2.
December 3, 2015

Pre calculus
yes - all polynomials have that domain. They are defined for any real number.
December 3, 2015

Pre calculus
D looks good to me.
December 3, 2015

Pre calculus
you know that √n must have n >= 0 SO, you need (6-x) >= 0 Now what do you think?
December 3, 2015

Maths
today
December 3, 2015

math 2 questions plz help asap
why do you keep guessing instead of thinking??? The front porch is a lot longer than a pencil. NY-CA is many many miles - clear across the country. I see a rough road ahead for you.
December 3, 2015

math 2 questions plz help asap
do you have any idea of the relative sizes of inches, feet, miles, etc.? Surely you cannot think a pencil is 12 feet long. That is over twice as tall as you are! #2 is correct. You must have some idea about #1, if you know what an inch is.
December 3, 2015

maths: Lowest common multiple
what is the smallest number which is a multiple of both 8 and 12? 8 = 2*2*2 12 = 2*2*3 so, an multiple of 8 must have 2 as a factor at least 3 times. Similarly, multiples of 12 have at least two 2's and one 3. So, pick the highest power of all the prime factors of each ...
December 3, 2015

Math
(a+4d)/(a+9d) = 1/2 a+11d = 36 Now you can find a and d.
December 3, 2015

Maths urgent
√2 + sin = cos cos - sin = √2 cos^2 - 2sin*cos + sin^2 = 2 -2sin*cos = 1 sin(2x) = -1/2 I guess you can take it from there, right? Watch out for spurious solutions (where cos-sin = -√2)
December 3, 2015

math
google is your friend. So is your textbook.
December 3, 2015

PreCalculas
#1. vertices indicate you have a vertical axis of symmetry. So, since the foci are evenly spaced from (0,0), y^2/a^2 - x^2/b^2 = 1 The vertices are at y = ±6, so y^2/36 - x^2/b^2 = 1 The asymptotes are y = ±(b/a)x, so b/a = 3/4, or b=8 see the info at http://www....
December 3, 2015

math
3cos35cosx-3sin35sinX = 3cos(x+35) So, now you have 3cos(x+35)-cosx = 0 Hmmm. not much help. So, back to basics. 6cosx+3cos35cosx-3sin35sinX=7cosx 3sin35 sinx = (1-3cos35) cosx Let c = (1-3cos35)/(3sin35) = -0.847 and you have sinx = c cosx sin^2x = c^2 cos^2c 1-cos^2x = c^2 ...
December 3, 2015

Maths
Looks good to me.
December 3, 2015

Math
no idea. It's just a ball; 5 inches or so? Google it to find the official dimensions of a tetherball. However, the circle has a radius of 6 ft.
December 3, 2015

Math
x + 2x-4 = 180
December 3, 2015

Maths
I see you have the sum of squares of 3 numbers. I hope that is what you intended.
December 3, 2015

Pre-Calculus
If you label the 4 points A,B,C,D then it is easy to find the lengths of the 4 sides. Now, the length of AC is 551. Now you have two triangles, and you know all the sides, so you can use Heron's formula to get the areas.
December 3, 2015

Algebra
#1. n/3 - 8 = -13 #2. ok #3. ok 1/4 = x/3 x = 3/4
December 2, 2015

Math
L = T+6 F = 2(L+T) F = 32 2(L+T) = 32 2(L+L-6) = 32 2L-6=16 L=11
December 2, 2015

calculus
Do you have the radius of the moon? Do you have the formula for the distance of the horizon from a height h? Do you have the gravitational acceleration g for the moon?
December 2, 2015

Calc 3
1st note that e^(2t)+4+4e^(-2t) = (e^t + 2e^-t)^2
December 2, 2015

precalculus
xy = 800 p = 2x+3y = 2x + 2400/x Now just find x for minimum p. This assumes two rectangular areas sharing a common fence of length y.
December 2, 2015

Math
yes.
December 2, 2015

Math
1B no. 36 ≠ 24*3 2D ok
December 2, 2015

College algebra
If Matt takes x hours, then Jena takes 3x 1/x + 1/3x = 1/9
December 2, 2015

Math
(110kg * 9.8m/s^2 * 0.3m)/(10s) = 32.3W
December 2, 2015

calculus
There are any number of calculators online to help you confirm your solution. One is here: http://www.emathhelp.net/calculators/calculus-2/trapezoidal-rule-calculator/
December 2, 2015

5th math
helps build strong bodies 12 ways!
December 2, 2015

math
12*10^6
December 2, 2015

functions-math
f(x) = 3250*(1/2)^(x/4)
December 2, 2015

Algebra
just collect like terms (same power) (-7y^2-4y+6) = (7y^2-4y-4)-(2y^2-2y-6) -7y^2-4y+6 = 7y^2-4y-4-2y^2+2y+6 -7y^2-4y+6 = 5y^2-2y+2 -12y^2-2y+4 = 0 Not sure what the equal sign is doing there. Simplifying an expression is not the same as solving an equation.
December 2, 2015

Precalculus
doesn't matter - they are the same. Use whichever one is easier for you to remember.
December 2, 2015

Math
5*5.75 + 2*7.00 = 42.75
December 2, 2015

precalc
#1 ambiguous #2 log(x(x-1)) = log 6 x(x-1) = 6 x = 3 #3 assuming base 4 throughout, log25-logx+log3-log7 = 1/2 log(75/7x) = 1/2 75/7x = 4^(1/2) = 2 14x = 75 x = 75/14 Unusual answer. I suspect a typo.
December 2, 2015

Pre Calc
as you know, all exponential functions y=e^x have y=0 as the horizontal asymptote. So, this is just shifted up by 3.
December 2, 2015

Algebra
If Stan has x, then Cory has 2x+24 add them up to get 150
December 2, 2015

Math
(b) has slope -5/-3 so nope. Take a look at (a)
December 2, 2015

Math
slope is change in y ----------------- change in x Moving from (-2,5) to (1,4) y changes by -1 x changes by 3 So, now you can get the slope. Hard to believe this was not clearly explained and demonstrated in your text. Or heck, remember that google is your friend. No need to ...
December 2, 2015

Algebra 2
since the sum of logs is the log of the product, you have log((a+2)(a-2)) = log(a^2-4) Here the base is 5, but the rule holds for any base.
December 2, 2015

Physics
conserve momentum: .86m = .63*61
December 2, 2015

Spga
If the height is h, then h cot45° - h cot60° = 10
December 2, 2015

math
20,000
December 2, 2015

Maths
this is not a PDE Does the ellipsis indicate more terms? That xy term should indicate a saddle point.
December 2, 2015

sunyani polytecnic
3x^2 = 6y x^2 = 2y x = √(2y)
December 2, 2015

Geometry
clearly, the quadrilateral consists of two triangles, each with a base if 28 cm. Their altitudes are 6.8 and 8.0 cm. I'm sure you know how to find the area of a triangle, given its base and height...
December 2, 2015

math
the last digit must be 0 or 5. The first digit cannot be 0. So, count the choices for each place, and multiply it out.
December 2, 2015

Mathematics 2
t+u = 6 10u+t = 3t Find t and u; the original number is 10t+u.
December 2, 2015

geometryproblems
One side is x The next side is 2/3 x The last side is x+2 x + 2x/3 + x+2 = 98 Find x, then the short side is 2/3 x.
December 2, 2015

Algebra
express all as the same power of 10. Then it will be easy to sort them.
December 2, 2015

solid mensuration
probably 1/9, but I have no diagram to consult.
December 1, 2015

Please help
20min = 1/3 hr, so 2mi/(1/3 hr) = 6mi/hr downstream 2mi/1hr = 2mi/hr upstream 2mi/(4mi/hr) = 1/2 hr It's not clear whether somewhere in all that you are to find Lisa's speed in still water, and the stream's speed...
December 1, 2015

math
(2m)^3 * 1000kg/m^3 = 8000kg
December 1, 2015

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