Saturday
February 25, 2017

Posts by Steve

Total # Posts: 48,776

mathematics
and . . .
January 15, 2017

Algebra2
If you mean f(x) = 2x^2+x-3 then f(g) = 2g^2+g-3 = 2(x-1)^2+(x-1)-3 = 2x^2-3x-2
January 14, 2017

Algebra2
f(x)2x^(2)+x-3 g(x)=x-1 Perform the indicated operation, then find the domain (f*g)(x)
January 14, 2017

Education
Thank you very much
January 14, 2017

Education
The single best way to increase your income is to get an education. Why? 1- You automatically make more money if you are educated. 2- You automatically get promotions if you are educated. 3- You can obtain jobs that have higher starting salaries. 4- You will automatically ...
January 14, 2017

Calculas
x?¹-1 = 1/x - 1 = (1-x)/x So, your fraction is just (1-x)/x ---------- = -1/x x-1
January 14, 2017

Physisc
A 12 kg mass initially moving at 4 m/s is acted upon by a 120 N constant force. What is the final speed of the mass?
January 14, 2017

Applied calculus
the other dimension is (2000-2x)/2 = 1000-x I assume you know how to express the area of a rectangle.
January 14, 2017

Calculus
see related questions below.
January 14, 2017

Math
looks ok to me.
January 14, 2017

math
W = kL That is, W/L is constant. So, you want W such that W/14 = 105/7
January 14, 2017

math
what do you mean by A=50? A is an angle of ABC. Same for P P is a point. What do you mean by "find P"? If you want lengths of sides given the lengths of bisectors, then review the angle bisector theorem.
January 14, 2017

Arithmetic progression
"sum" not "some" Assuming you meant had she got 3 more in maths and 4 marks less in science I tried m+s = 28 (m+3)(s-4) = 180 If that's what you meant, then just solve for m and s.
January 14, 2017

Maths
the length+width must be 8. So, how many pairs of numbers add to 8? 1+7 2+6 ...
January 14, 2017

physics
The somewhat vague requirements give rise to the following equations of motion: a = 2/3 v + (2/3)t = 25 vt + (1/3)t^2 = B-A or 25t - 1/3 t^2 = B-A Without knowing how long it took to get from A to B (only knowing that it is less than 75/2 seconds - why?), that's all we can...
January 14, 2017

Algebra
-1375 + 450 = ?
January 13, 2017

Algebra
you should recognize those numbers as perfect squares.
January 13, 2017

Calculus
well, f'(Ø) = 2secØ tanØ + sec^2Ø = sec^2Ø(2tanØ cosØ + 1) = sec^2Ø(2sinØ+1) f'(Ø)=0 when sinØ = -1/2 Now, what else is a critical number?
January 13, 2017

Calculus
Think about what you know about the shape of |x| functions. They have a cusp, where the slope is discontinuous.
January 13, 2017

Precalc
when cos(pi/6 (t+2)) = -1 That is, where pi/6 (t+2) = pi
January 13, 2017

Algebra 1
try this: http://calc101.com/webMathematica/long-divide.jsp
January 13, 2017

Calculus
check your text or google to review what differentiable means.
January 13, 2017

Algebra
1 ok 2 is 7 < 3? 3 "<" means less
January 13, 2017

math
2x-4 = x+11
January 13, 2017

maths
well, there will be two days that occur 53 times. So, ...
January 13, 2017

dynamics of rigid bodies
I'll assume you meant s = 5t^2 + 1/3t^3 -1/50t^4 so, v = 10t + t^2 - 2/25 t^3 max v occurs when v'=0, so a = 10 + 2t - 6/25 t^2 So, find t when a=0, and then figure v at that value of t. max acceleration is when a'=0 a' = 2 - 12/25 t
January 13, 2017

math
15% of original, (.15*24000) or 15% off original ((1-.15)*24000) ??
January 12, 2017

Calculus
h = u/v h' = (u'v-uv')/v^2 Now just let u = 3x+2 v = x^2-5 Now each step is easy.
January 12, 2017

Riddle
well, you said her mom kept 6
January 12, 2017

pre-algebra
depends on what you mean by solve the question. Drawing a graph is one way to illustrate the relation between x and y. Another way is to fill in a table of matching values. Pick values for x and calculate the matching y values. Other questions might be to determine the axis ...
January 12, 2017

math
it is an odd function, so it is symmetric about (0,0)
January 12, 2017

Geometry
just use the distance formula.
January 12, 2017

Precalculus
well, every 2pi brings theta back to the same point, so ...
January 12, 2017

math unit 7 test
it should be clear that the inside of the arch cannot be covered by another arch.
January 12, 2017

math
ask google many many discussions
January 12, 2017

Math
5 ...
January 12, 2017

Graphing in the coordinate plane unit test
try google on some key topics...
January 12, 2017

algebra
try here. It shows all the steps. http://calc101.com/webMathematica/long-divide.jsp
January 12, 2017

Mathematical measurement
sure looks like 5:12 to me
January 12, 2017

Computing
n=1 s=1 for (i=1;i<=5;i++) { print s; n += 2; s += n }
January 12, 2017

Computing
depends on what information you want No idea what the "output of a triangle" is
January 12, 2017

C
add the numbers and divide by 10. If they are in an array called n, then sum=0 for (i=0 to 9) sum += n[i] avg = sum/10
January 12, 2017

math
4x-6 = x+15
January 12, 2017

Physical science
use the lengths as the legs of a right triangle. But, if the are not acting perpendicularly, you're out of luck.
January 12, 2017

math8
-9p-17=10 -9p = 27 p = -3 too bad you didn't bother to show your work.
January 12, 2017

math
the roots of D^2-6D+3 are -3±?6
January 12, 2017

Maths
5*9 = 45
January 12, 2017

Maths
what are two small factors of 45?
January 12, 2017

Linear Algebra
google the topic. You will find many good discussions, such as this one: http://math.stackexchange.com/questions/584132/proof-of-linear-independence-of-vectors-after-applying-a-linear-transformation
January 12, 2017

Math
us the law of cosines. You have two sides and the included angle.
January 12, 2017

Algebra 2 check my answer please?
500*2^(t/16) = 800 2*(t/16) = 1.6 t/16 log2 = log 1.6 t/16 = log1.6/log2 = 0.67807 t = 10.849
January 12, 2017

Algebra
what, you can't just plug in the number and find t? 0.81t^2 = 3 t^2 = 3/.81 = 3.7037 t = 1.9245
January 12, 2017

math
3*(2*6 + 2*8)
January 12, 2017

sdsdd
91/100
January 12, 2017

4th grade math
well, 5+15 = 20
January 12, 2017

Calculus
forget the integral. It's not elementary. besides, no one asked what f(x) was. The question was, where does it achieve its minimum value?
January 11, 2017

Math
e^(-?i) = cos(-?)+ i sin(-?) = -1
January 11, 2017

Algebra
it's the same as the number of ways to permute 2 of 3 things: 3P2 = 6
January 11, 2017

Math
c^2 = a^2+b^2 a = 1/2 bh If the perp from B to AC is BD, then using similar triangles, BD/AB = BC/AC
January 11, 2017

Math
assuming you meant speed (since the average velocity is zero after every lap!) You are correct. The distance covered is 352*1.5 Since it took four hours, the average speed is 352*1.5/4 mi/hr You can use the derivative if you insist, but since this is apparently a linear ...
January 11, 2017

math
y-1 = 3(x+2) y-1 = 3x+6 y = 3x+7 -7 = 3x-y 3x-y = -7 Looks like (A) to me
January 11, 2017

math
the slope is 3, so the point-slope form is y-1 = 3(x+2) or y-10 = 3(x-1) Now just massage that into one of the choices.
January 11, 2017

IPC
98 * 1.49/9.8
January 11, 2017

Maths
since their longitude differs by 180°, the lie on the same great circle, which passes through both poles. It would have been more challenging to prove that they lie on a slanted great circle.
January 11, 2017

Science
50m/2.8s = 50/2.8 m/s = ...
January 11, 2017

Calculus Please Help
Assuming the x values for the table are 1,2,3,4 then d/dx g(f(2x)) = g'(f(2x)) * f'(2x) * 2 = g'(f(2)) * f'(2) * 2 = g'(1) * 2 * 2 = 5*2*2 = 20 consider something like y = e^sin(2x) y'(x) = e^sin(2x) * cos(2x) * 2
January 11, 2017

Calculus
looks good to me
January 11, 2017

Calculus
Hmmm. h is constant at 12, so V = ?r^2h = 12?r^2 dV = 24?r dr ...
January 11, 2017

Math parallel lines and angles
no diagrams visible here. Just recall what you know about alternate angles and adjacent angles of transversals.
January 11, 2017

Angle Math Help!
well, you could always consider the 5-12-13 right triangle.
January 11, 2017

Geometry
I don't see how YO can divide the square. It just goes from a side to the center.
January 11, 2017

Math Calc
Hmmm 3.14*4.2^2 * 12.2 = 665.75 other than that, your logic is sound. Also, note that the error using 4.0-0.2 in for the low-side value differs by a smaller amount.
January 11, 2017

Math Calc
if 3.8 <= r <= 4.2, ?*3.8^2*12 <= v <= ?*4.2^2*12 544.32 <= v <= 665.01 ...
January 11, 2017

math algebra
15.99 + 0.93m = 259.65
January 11, 2017

math
ok
January 11, 2017

Calculus
see the further discussion on your earlier post.
January 11, 2017

Calculus
That is because x=0 is the single point where f'(x) = 0 the number zero is a single choice, not an absence of choices! The answer is 1 There is 1 (one) point on the interval [-1,1] where f(1)-f(-1) ------------ = 0 1 - (-1) That point is at x=0. Just take a deep breath and...
January 11, 2017

Calculus
Excuse me? Did you look at the graph? Did you actually read what I wrote? I don't mind helping you arrive at a solution, but I do expect you to actually read it, rather than just hold out your hand and say "gimme the answer." In fact, I did give you the answer.
January 11, 2017

Calculus
absolute value problems can get tricky, because the functions are not differentiable at any cusps. However, since (x^2-9)(x^2+1) is negative on [-1,1], f(x) = -(x^2-9)(x^2+1) This is a nice smooth polynomial, so it satisfies the requirements of the MVT on [-1,1]. Now take a ...
January 11, 2017

Calculus
v(t) = 0 at 0,?,2? If you exclude the endpoints of the interval, your answer is correct. But, we are working with the closed interval, including the endpoints. So, there are 3 points where v(t) = 0. Better review interval notation.
January 11, 2017

Calculus
v(x) = -sin(x) e^cos(x) since e^cos(x) is never zero, how many times in sin(x) = 0 in the interval? Your answer is correct on the interval (0,2?), but not on [0,2?]
January 11, 2017

Vectors
This is discussed here: http://math.stackexchange.com/questions/1408917/finding-vector-form-of-an-angle-bisector-in-a-triangle
January 11, 2017

Maths
Using x and y for syntactical reasons, See http://www.wolframalpha.com/input/?i=%7B%7B7,9%7D,%7B5,7%7D%7D*%7B%7Bx%7D,%7By%7D%7D+%3D+%7B%7B3%7D,%7B1%7D%7D
January 11, 2017

Calculus
try (lim x^3) * (lim sin(1/x)) x^3 -> 0 |sin(1/x)| <= 1
January 11, 2017

Maths
1 degree of latitude is about 111 km. So, 800 km/hr ? 800/111 = 7.2°/hr so, ...
January 11, 2017

Maths
Check the diagram. The radius of the latitude at angle ? is r*cos?. Since speed is proportional to the radius of rotation, if B is at angle ?, r cos22° = 2r cos?
January 11, 2017

math;););)
so, do you know the rotation matrix?
January 11, 2017

Math;);)
Actually, it's even better than that: |u + v|^2 ? |u|^2 + |v|^2 ? (|u|+|v|)^2
January 11, 2017

Calculus
since when is x^2/x^2 = 2? 10/10 = 1 z^3/z^3 = 1 don't forget your Algebra I now that you're taking calculus. Using the usual method, divide top and bottom by x^2. That gives you (1 + 2/x^2)/(1 - 36/x^2) as x^2 gets huge, 1/x^2 -> 0 and the fraction becomes 1/1 NOT 2!!
January 11, 2017

Calculus
as x gets huge, the 2 and the 36 become insignificant: y -> x^2/x^2
January 11, 2017

Physics
40 S = <0,-40> 70 N30ºW = <-35,60.6> add them up, then convert back to compass directions.
January 11, 2017

Math
1700 * .96*9
January 10, 2017

calculus
a = t^2-5t+3 v = 1/3 t^3 - 5/2 t^2 + 3t + C1 s = 1/12 t^4 - 5/6 t^3 + 3/2 t^2 + C1*t + C2 Now use the conditions to solve for C1 and C2.
January 10, 2017

pre-Calculus
a: odd b: even c: unknown check by using the fact that odd: f(-x) = -f(x) even: f(-x) = f(x)
January 10, 2017

Math
100/(b+24)
January 10, 2017

Trig
If the base is 2x, then 12.5/x = tan 55° The area is just 12.5x
January 10, 2017

Math
-.25x^2+5.5x-5.25 = -1/4 (x^2-22x) - 21/4 = -1/4 (x^2-22x+121) - 21/4 + 121/4 = -1/4 (x-11)^2 + 25
January 10, 2017

Math
8C4
January 10, 2017

Math
w(w+5) = 50 Now, which factors of 50 differ by 5?
January 10, 2017

Algebra
4a-2b+c = 5/2 c = 3/2 16a+4b+c = -121/2 F(x) = -5/2 x^2 - 11/2 x + 3/2
January 10, 2017

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