Sunday
June 26, 2016

Posts by Steve

Total # Posts: 41,431

algebra
the max height is where t = -b/2a = 3 h(3) = 256 ft h=0 when t=7
May 7, 2016

calculas 1
You give no limits on the area.
May 7, 2016

calculas
clearly the rectangles are bounded at x = 0, π/6, π/3, π/2, 2π/3, 5π/6, π So, evaluate g(x) at the boundaries and add up the areas. What do you get? There are plenty of online calculators for this to check your work.
May 7, 2016

calculas 1
Have you tried laying out a few rows? I'm sure you will see a pattern. You will be adding up sequences of even or odd numbers...
May 7, 2016

Geometry
Since s=rθ, the circumference of the base of the cone is 15 * 4π/3 = 20π So, the radius of the base of the cone is 10. Now you can find the height of the cone, and thus the volume.
May 7, 2016

math
recall that x = vcosθ t y = vsinθ t - g/2 t^2 dy/dx = dy/dt / dx/dt = (vcosθ - gt)/(-vsinθ) -cotθ + g/(vsinθ) t we want dy/dx = tan(θ/2) = (1-cosθ)/sinθ = 1 - cotθ -cotθ + g/(vsinθ) t = 1 - cotθ t = vsinθ/g
May 7, 2016

math
just use your equation of motion, and find when its slope (derivative) is tan(alpha/2).
May 7, 2016

Trig
If we call the lengths OA and OB x and y, then we have, using the law of cosines, x^2+y^2-√3 xy = 1 That is just an ellipse with its extreme values at x=2 or y=2. So, the maximum value of OB is 2.
May 7, 2016

Calculus
well, the two curves intersect at (±√(10/3),40/3), so the area is 2*integral[0,√(10/3)] (x^2+10)-(4x^2) dx = (40/3)√(10/3)
May 6, 2016

Calculus
work = force * distance, so ∫[0,25] 30-.1x dx
May 6, 2016

Math
Come on, man. The area is just a 6x4 rectangle. Rotating it around the y-axis jives you a cylinder with r=6 and h=4, so its volume is 144π Or, if you must use calculus, v = ∫[0,6] 2πx*4 dx = 144π Or, using the Theorem of Pappus, it is the area of the ...
May 6, 2016

math
yes it is
May 6, 2016

Math Help Please
anything that ends in .9... is an integer. So, 0.999999... = 1 1.999999... = 2 4.999999... = 5 and so on
May 6, 2016

Programming
Oops. I dislayed the total, not the average. Change that to avg /= n Display "The average score for Student #",s," is ",avg
May 6, 2016

Programming
how about something like this: minSubjects = 8 maxSubjects = 12 Display "Enter the number of students: " enter students for s = 1 to students   Display "Enter the scores for student #",s   enter scores   n = length(scores) &...
May 6, 2016

MATH Please Help Please
f(n) is a sequence of integers, and the domain is all integers. f(x) is a function whose domain is all real numbers, not just integers.
May 6, 2016

Pre-Cal (Trig) Help?
try arccos(.957269)
May 6, 2016

Pre-Cal (Trig) Help?
all you need is the sum formula for cosines. in other words, cos(A+B) = .957269 A+B = 16.81°
May 6, 2016

maths-word problem help
A&B together can do 1/12 + 1/18 = 5/36 of the job in a day So, it will take them 36/5 * 2 = 72/5 days. or 14 2/5 days After 14 days, they have each worked 7 days, so 7 * 5/36 = 35/36 of the job is done. On the 15th day A works 1/3 of a day to finish up the last 1/36 of the task.
May 6, 2016

Math (Ms. Sue)
why all the duplications? I only see H1 H2 H3 H4 TT TH Those are the only outcomes if only two events are to be considered.
May 6, 2016

math
In better notation, M(x) = 50 * 2^x change the 50 to 450
May 6, 2016

math
x((1+r)^2-1) = 440 x((1+r)^3-1) = 728 ((1+r)^3-1)/((1+r)^2-1) = 728/440 r = 1/5 = 0.2 = 20%
May 6, 2016

calculus
x^3 = at^2 3x^2 x' = 2at x' = 2at/3x^2 x" = (2a)(3x^2) - (2at)(6xx') -------------------------------         9x^4 2ax - 4at(2at/3x^2) -----------------------------      3x^3 (6ax^3 - 8a^2t^2)/(9x...
May 6, 2016

college algebra
ln(310*3x) ln(930x) ... Hmmm I suspect you mean log base 3 instead of ln. ln is the natural log, using base e=2.71828... So, since all your logs are base 3, let's just write log, since there is no confusion. log(10)+log(x) = log(10x) log(10-x) cannot be simplified log(10/x...
May 6, 2016

college algebra
Since it starts in 2000, and 2001 is the next year, I'd pick 2,419,774 Not sure how the 5 values represent a population over 8 years.
May 6, 2016

Math
r = 95 b = 5g r+g = b-189 95+g = 5g-189 4g = 284 g = 71 so, b = 355 95+71+355 = 521
May 6, 2016

math
xy=42 x+y=3 There are no real solutions to this. However, if we suppose there is a typo, note that 6*7 = 42 6+7 = 13
May 6, 2016

Geometry
π/3 * 2^2 * 4 + 2π/3 * 2^3 = 32/3 π
May 6, 2016

math
3/10 * 2/9
May 6, 2016

5th grade math
y < 2x y < 2*15 y < 30
May 5, 2016

math
(6.4+12.3)/2 h = 37.4 9.35h = 37.4 h = 4
May 5, 2016

math
better use Heron's formula, if all you have is the sides.
May 5, 2016

Pre calculus
sinθ = √((1-cos2θ)/2) = √(1/8) since 2θ is in QIV, θ is in QII
May 5, 2016

Algebra
both ok
May 5, 2016

mason
There are 7C2 = 21 ways to pick the 1st two horses, leaving 5 to arrange in the other places. So, there are 21 * 5! ways to finish the race.
May 5, 2016

Math
oops - 3/10 of 2/3 = 2/10 = 1/5 1/3 + 1/5 = 8/15 so, 7/15 x = 35 x = 75 check: on Monday read 1/3, or 25 pages, leaving 50 unread On Tuesday read 3/10 of 50 = 15 pages, leaving 35 unread
May 5, 2016

calculus help me plz
dx/((x-1)sqrt(x^2-2)) OK. First step is a trig substitution. x = √2 sec(u) x^2-2 = 2tan^2(u) dx = √2 sec(u) tan(u) du now the integral is sec(u)/(√2 sec(u)-1) du see what you can do with that.
May 5, 2016

alebra
both look good.
May 5, 2016

trigonometry
review your basic trig functions. You will see that the height is 38tan67°30' + 38tan18°20'
May 5, 2016

math
If the amount poured is x gallons, then (35-x)/(4.5+x) = 7/2 find x, and the rest is easy.
May 5, 2016

math. compounding interest
3500 * .075/2
May 5, 2016

math
use your distance formula: √(5^2+8^2)
May 5, 2016

math
clearly, since the box has length 8, the paper must be longer.
May 5, 2016

Trigonomentry
Draw a diagram. If we label the triangle ABC, with sides a,b,c then the law of sines tells us sinC/10.2 = sin117.5°/35 Now you have angles B and C, so you know A=180-(B+C) a/sinA = sin117.5°/35 or a^2 = 35^2+10.2^2 - 2*35*10.2 cosA
May 5, 2016

help maths partail sum
∑ 1/(6k-2) This is just a modified harmonic series, so it diverges. That is, you know that ∑ 1/k diverges. So, this does as well. Don't know a formula for the nth partial sum.
May 5, 2016

Math
just plug in your calculator. What do you get?
May 5, 2016

calculus plz help me
dx/((x-1)sqrt(x^2-2)) OK. First step is a trig substitution. x = √2 sec(u) x^2-2 = 2tan^2(u) dx = √2 sec(u) tan(u) du now the integral is sec(u)/(√2 sec(u)-1) du see what you can do with that.
May 5, 2016

calculus plz help me
see the steps here. http://www.integral-calculator.com/ Interestingly, wolframalpha.com simplifies it a lot.
May 5, 2016

Math
Review your basic trig functions. The height is 1.15 + 95.5tan31.5°
May 5, 2016

math
just plug in your numbers: v = pi/12 d^2 h
May 5, 2016

MLZ
3*2 = 6 but "3 times more than" is kind of fuzzy
May 5, 2016

math
subtract 1:45 + 2(1:12) + 0:45 from 4:15 pm
May 5, 2016

Math
42
May 5, 2016

eh?
no idea what that is supposed to mean
May 5, 2016

Triangles
I did it! What did you do?
May 5, 2016

math
d=c-s/n s/n = c-d s = n(c-d) If you meant d=(c-s)/n nd = c-s s = c-nd
May 5, 2016

geometrt question
f'(x) = -1/x^2, so at x=a, the slope is -1/a^2. So, now you have a point and a slope, so the line is y - 1/a = -1/a^2 (x-a)
May 5, 2016

Calculus
gee - you have the function. Plug and chug. s = πr√(r^2+h^2) ds = π(2r^2+h^2)/√(r^2+h^2) dr Now just plug in the numbers, using -0.1 as dr
May 5, 2016

Physics, Math
how long does it take to drop 4000 ft? use that time and 130 ft/s to get the distance needed.
May 5, 2016

Functions
(c) clearly g(x) is undefined for x=0 But, it is also undefined for x=1, because f is undefined there. g(1) = 1/(1-f(1)) Try that logic for h(x).
May 4, 2016

math
why the final "/1"? It does nothing. So, ignoring it Also, I don't see any initial subject. f maybe? and is that (√s)/c or √(s/c) ?
May 4, 2016

Parametric Curve
visit wolframalpha.com and type in your functions, as in (d) below http://www.wolframalpha.com/input/?i=parametric+plot+x%3D%282t+%2B+1%29sint,+y%3D%282t+%2B+1%29cost
May 4, 2016

Math
The following table shows the rate of water flow (in L/min) through a dam. t (min) 1 6 11 16 21 26 31 V'(t) (L/min) 1 8 2 9 7 5 9 Approximate the total volume of water that passed through the dam from t=1 to t=31 using Simpson's rule, with n=6.
May 4, 2016

Math
1/x --> 0 as x --> infinity so, what is cos(0)?
May 4, 2016

algebra
If you allow complex numbers, the two numbers are 2+√2i and 2-√2i
May 4, 2016

Math
363 = 300 * 1.21 = 300 * 1.1^2 so, each dimension is increased by 10%
May 4, 2016

precalculus
log(2+x)-log(x-3)=log2 log (2+x)/(x-3) = log 2 (2+x)/(x-3) = 2 2+x = 2x-6 x = 8
May 4, 2016

st josephs
420*1.055^4 + 520*1.055^3 + 750*1.055^2 + 540*1.055 = $2535.38
May 4, 2016

Math
looks good to me
May 4, 2016

math
7*4*h = 56
May 4, 2016

Math
looks like 3/5 to me oh, you mean 3/5 each? Then that would of course be 4 * 3/5 = 12/5
May 4, 2016

Math
Nope. It is 7!, but that's not 2520
May 4, 2016

Math
well, (3+7)/2 h = 25
May 4, 2016

Algebra
yes a^x where a is any constant is an exponential function
May 4, 2016

Pre-Algebra
you mean area, or length? If area, then (16+6w+2w)(48+6w+2w)-(16+6w)(48+6w) = 28w^2 + 128w in^2
May 4, 2016

Algebra 2
D = |2 3| |3 5| so B is out Replace the 1st column with (5,7) and that gives D.
May 4, 2016

Algebra
nope: add 10^3 * 10^5 = 10^8 what you have is 10*10*10 * 10*10*10*10*10 you multiply the numeric part 3*10^2 * 2*10^5 = 3*2 * 10^2*10^5 = 6*10^7
May 4, 2016

Math
all it tells me is that it is a parabola that crosses the x-axis at 4 and -2/5.
May 4, 2016

math
drama scale? You mean drawn to scale? 2(.005*6 + .005*13 + 6 * 13) = 156.19 m^2 I suspect a typo.
May 4, 2016

Urgent help Ms sue
i guess so
May 4, 2016

Urgent help Ms sue
how can the three designs be used to combat truancy in schools?
May 4, 2016

Urgent help Ms sue
Education researchers believe that a new approach to tackling truancy may help to reduce truancy levels. They wish to carry out a trial to compare the efficacy of the new approach with an existing approach. It is known that some schools have lower truancy rates than others, ...
May 4, 2016

math
no - it depends on where they started.
May 4, 2016

math
just change the sign of all the x-coordinates. try graphing and flipping a few points to see why this is.
May 4, 2016

Math
well, F=ma plug and chug. watch the units. Using clear English would also help...
May 4, 2016

SAT math
P(t) = 300,000
May 4, 2016

algebra
If you have x lbs of deluxe and y lbs of economy, then you want to maximize p=7x+5.4y subject to x/2 + y/2 <= 130 2x/3 + y/3 <= 170 now graph the lines and find the vertex with maximum p.
May 4, 2016

huh?
You want to try that in short clear sentences the way you got it? Don't make us figure out the question as well as the answers...
May 4, 2016

Phy
is the change linear? If so, then since 2.3 is 3/5 of the way from 2.0 to 2.5, the temperature would be 3/5 of the way from 0 to 100 degrees.
May 4, 2016

Algebra 1
.30(90-x) + 0(x) = .23(90)
May 4, 2016

math
Friday: the amounts are n and j Saturday: 2n/3 and j+n/3 Sunday: 2n/3 + (1/3)(j+n/3) and (2/3)(j+n/3) = j/3 + 7n/9 and 2j/3 + 2n/9 so, j/3 + 7n/9 = 96 2j/3 + 2n/9 = 120 Nathan had $54 and Jasper had $162 I'll let you verify the accuracy of the solution.
May 4, 2016

math, functions
g(x) = f(f) = 1/(1-f) = 1/(1-(1/(1-x)) = 1 - 1/x h(x) = f(g) = 1/(1-g) = 1/(1-(1 - 1/x)) = x But, as you say, watch for places where f is undefined. I'm sure you can figure those out.
May 4, 2016

Algebra 1
you want to decrease the concentration by 23/30, so that means you have to increase the volume by 30/23. 30/23 x = 90 x = 90 * 23/30 = 69 So, add 21 gallons of water
May 4, 2016

DamotAk mathematecs
x^2 = 90^2 + 90^2 - 2*90*90*cos(140°)
May 4, 2016

Trig
amplitude of 3/5: 3/5 cos(x) period of 3pi/2: 3/5 cos (4/3 x) y-intercept of 5: 22/5 + 3/5 cos (4/3 x) http://www.wolframalpha.com/input/?i=22%2F5+%2B+3%2F5+cos+%284%2F3+x%29
May 3, 2016

Algebra
so, the new tanks will hold (5/4)^3 as much oil, or 23437.5 gallons each
May 3, 2016

Math
Zoe feeds 6 horses per hour Matt feeds 2 horses per hour. So, together they feed 8 horses per hour, taking 4 hours to feed 32 horses
May 3, 2016

Math
40+10+25m = 50+15m+10m as given, if the Zumba class is each month, then both Gyms cost exactly the same: $50 in fees and $25 monthly
May 3, 2016

geometry
∠A = 15+15 = 30 = ∠B ∠C = ∠D = (360-30-30)/2 = 150 so, ∠ACD = 180-150-15 = 15 ∠BCA = 150-15 = 135
May 3, 2016

PLEASE HELP ASAP
looks good. when you say my answer is a? are you asking what your answer is?
May 3, 2016

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