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Posts by STEVE

Total # Posts: 50,410

Physics
good work

Physics
surely by now you know that distance = speed * time

Physics
how long does it take to fall 10 meters? 4.9t^2 = 10 The horizontal speed stays constant, so using the value of t calculated above, how far does he go? If less than 5.5 meters, he's gonna break something...

PreCalculus
I'd say that it would be 0.28 * 70000/12

Math
zero

Calculus
I'll do one, and you can follow the method for the others. g"(x) = 12x^2 g'(x) = 4x^3+c g'(1)=7, so 4+c=7, so c=3 g'(x) = 4x^3+3 g(x) = x^4+3x+c g(1)=3, so 1+3+c=3, so c=-1 g(x) = x^4+3x-1

math
x+10 = 4(x-5)

Calculus - Riemann Sum help
You just have to figure out how many intervals you want to use (n). Then, as it says, the interval width is ?x=2?/n The interval is apparently [0,2?]

Math
5a/6 - a/3 - 2/3 = -1/6 a(5/6 - 1/3) = -1/6 + 2/3 a(1/2) = 1/2 a = 1

algebra
n/s = 5/3 n-25 = s+25 5s/3 - 25 = s+25 2s/3 = 50 s=75 so, n=125 n+s=200

Math - Calculus
81 ? (2i-1) i=1 = 2?i - ?1 = 2*81*82/2 - 81 = 6561 since you know that n ?i = n(n+1)/2 i=1 Or, working with the sum as an AP, you have a=1 d=2 S81 = 81/2 (2+80*2) = 6561 Or, note that you have the sum of the first 81 odd numbers. That sum is 81^2 = 6561

Algebra 2
8000(1+.03/365)^(365*18) = ?

Caclulus
copy/paste does not work well here. Your special symbols are all mangled. Try just typing, using f^-1(x) for f inverse

Calculus
4tan(x)+5=2 tanx = -3/4 x will be in QII or QIV

math
solving for a and b, we get a=5 b=2 Now just plug in the numbers

Calculus
cosx = 0.2 x ? 1.37 since cosx > 0 in QI and QIV, your answers will be x = 1.37 and 2?-1.37

math
(a+b)^2 = a^2+2ab+b^2 = 16+2*8 = 32

math
a^b = x a^(b+2) = a^2 * a^b = a^2 x 2a^3b + a^2b + a^b = 2x^3 + x^2 + x

Calculus
you should review your basic standard triangles: 45-45-90: sides 1:1:?2 30-60-90: sides 1:?3:2 Each problem here will have two solutions, in the quadrants where the named function is positive or negative.

Trigonometry
Recall that sin? = y/r cos? = x/r tan? = y/x you have a triangle in QI where y=8 x=6 r=10

Math
The slope of the line is (5553-3518)/(2000-1995) = 407 That leaves only D as the choice.

Geography (w/ geometry)
I expect this article will help: https://astronavigationdemystified.com/latitude-from-the-midday-sun/ Since your time of day is 12:30 rather than 12:00, you will need to factor that in.

Geography (w/ geometry)
Since the distances involved are minuscule compared to the size of the earth, all you really need to know is your height and shadow length. And you are correct that arctan(1.2) = 50.19° You have listed the time as 12:30, so the sun should have been almost directly overhead...

Math (Calculus) Integrals
Looks like you have the answers correct. For the last one, recall that ?[a,b] f(x) dx = F(b)-F(a) So, ?[a,a] f(x) dx = F(a)-F(a) = 0

Math
Assuming that by "n" you mean "and" then there are 6 angles, and their sum is 4*180 = 720 So, add 'em up and see what x has to be to make 720.

physicss
it is related by the square of the inverse, since the 3" pipe has a cross-section area 9 times the 1" pipe. So, (C)

Business statistics
(a+b)/2 = 15 ?(ab) = 9 so, ab = 81 The only factors of 81 are (1,81),(3,27),(9,9) Clearly the only possible candidates are 3 and 27, which you can easily verify. If you want to do the algebra, you have a+b = 30 a^2+2ab+b^2 = 900 a^2 + 2*81 + (81/a)^2 = 900 a^2 + 6561/a^2 = 738...

Math
put the words into math: 8+x = 3(x-2) Now just solve for x.

Calculus II
it is clearly convergent, because (n^4)/(n^10 + 1) < n^4/n^10 = 1/n^6 and 1/n^p is convergent for p>1

ALGEBRA CHECK ANSWERS
duh - all the ones I didn't comment on.

ALGEBRA CHECK ANSWERS
Some are ok. I have listed the errors below --> 4g^2=25 your answer solves 4g^2=1 --> 64b^2=16 your answer solves 64b^2=1 --> 5z^2-45=0 5z^2 = 45 z^2 = 9 z = ±3 --> h^2=-49 see your solution to x^2+7=0 --> s^2-35=-35 s^2 = 0 ... Are you trying to take ...

Math, Algebra
Hmm. When you say There is then a 22m pointing to the dotted line marking the middle up the triangle. it sounds like the triangle has a base of 8 and an altitude of 22. So, its area would be 8*22/2

Pre calc
you did not try reviewing your basic trig functions and drawing a diagram. Look at the diagram and you will see that cos? = 7/20 The height h can be found from ?, since h/20 = sin? or, you can use the Pythagorean Theorem (have you forgotten that already?): h^2+7^2 = 20^2

2nd university of Namíbia programming 2d
42

math
8C2*6C2 + 8C3*6 + 8C4 = 826

science (chemistry)
you get 0.25 moles of AgBr, so what is its mass?

Maths
The lateral surface area is a = 2?rs = 2?r?(r^2+h^2) = 2?*30*?3400 = 600??34 Assuming that the join is 0.5 cm at the base, but decreases approaching the point of the cone, the 0.5cm overlap at the base means that you have a portion of the surface area added. That amount is 0.5...

Math
consider that the rider will be 60 feet away both approaching and receding. So, you want |105-35t| = 60 for positive distance (still approaching), 105-35t = 60 t = 9/7 = 1.28 Going away, you have 105-35t = -60 t = 33/7 = 4.71 http://www.wolframalpha.com/input/?i=%7C105-35t%7C...

math
(22*30*33)/(10*12*13) * 3 = 41.88 minutes

Algebra
x^-4 * x^5 = 1/x^4 * x^5 = x^5/x^4 = x

Math
add up the total votes. Then see whether any candidate gets more than half of them. Or, does any candidate get more votes than all the others combined? It looks pretty close, since 16+8+12 = 36 So, it'll be the odd votes that make the difference.

maths, statistics
This is just Z table stuff. You can play around with the values at http://davidmlane.com/hyperstat/z_table.html

Math
what do you mean by "initial values?" Just values for x? If so, then since g(x) = -x+2,plug in the value for every x: g(4) = -2(4)+2 = -8+1 = -7 and do the same for any other desired values. I still don't get what you mean by behavior after "iterations."...

Math
6% off what? If you mean that the tax is 6% of the price, then it is of course .06 * 350

math
OK. v = Vanessa's score

Math
print "number: "; read value smallest = value while value ?0   read value   if value < 0 then {print "Error: negative value"; continue}   if value < smallest then smallest = value loop if value > 0 then   ...

physics
since energy is conserved, and the balls are identical, the 2nd ball will rise just as high as the first ball was. Be prepared for the next step, where the balls are not identical in mass!

Math1
clearly it is supposed to represent ? C = 2?r so, to get r, just divide both sides by 2?

chemistry
Look at the balanced equation and see the relative amounts of reagents (or reactants, not reactors) needed. Compare that against the amounts available (in moles) and then the limiting reagent is the one that will be used up first.

Physics
well, KE = 1/2 mv^2 now just plug and chug ... (watch the units!)

Algebra
so, the length is 2w w^2+(2w)^2 = 20^2 solve for w, then the area a = w(2w) = 2w^2

Physics
it is 1/2 mv^2, so ... watch the units.

Physics
Without loss of generality, we may assume that the 1st ball is moving in the +x direction. After the collision, since the two balls are identical, the resultant v1+v2 will still have the same direction, which means that the two velocities are both 30° from the original v, ...

Physics
if all the forces are constant, their sum will be constant. F = ma so if F is constant, a is constant (I think we can assume that M does not change...) The resultant force F is just F = F1+F2 use normal vector addition.

Math
14x+21y = 7*2x + 7*3y = 7(2x+3y)

SCIENCES
look up the atomic masses in your periodic table. Add up the appropriate multiples to get the molecular molar mass. The rest is just algebra, if you know the yield of the Hall process.

Precalculus
how about using sin(a-b) = sina cosb - cosa sinb

Mathematical Proof
n+6 is odd if and only if 5n+1 is even if 5n+1 is even, 5n is odd. So, n is odd (only odd*odd = odd) If n is odd, n+6 is odd, (only odd+even=odd) if n+6 is odd, n is odd, since odd numbers differ by 2. so, 5n is odd, making 5n+1 even. USING odd*odd = odd since (2m+1)(2n+1) = 2...

physics
Since F = kx, k = F/x so its units are N/m, not Nm. So, just figure the F=KE=1/2 mv^2 and divide it by .37m

Precal
I think you mean 2sin^2(A/2)+cosA = 1 this follow directly from cos(2x) = 1-2sin^2(x) with x = A/2

Maths
1 - 1/4 - 1/3 = 5/12 1/5 of that is 1/12 So, 1/12 of the original amount is 40,000

Precal
that's -1 remember sec^2 = 1+tan^2 csc^2 = 1+cot^2 these come from dividing 1 = sin^2+cos^2 by cos^2 or sin^2

Math
5/6 * 1/2 = 5/12

Math
see related questions below

precal Please Help
you need to review your double and half angle formulas: tan(A/2) = (1-cosA)/sinA = sinA/(1+cosA) cos(2A) = 2cos^2A-1 = 1-2sin^2A = cos^2A-sin^2A sin2A = 2sinAcosA A little playing around with those should help. Also, you need some parentheses to make it clear just what the ...

Math
1422(1+.03*5) = ?

precal
(sinx+cosx)^2 = sin^2x + 2sinx cosx + cos^2x = 1+2sinx cosx Now you just take the last step, recalling that tanx = sinx/cosx

Math(PLEASE HELP ME ASAP)
you haven't described very well just how b and h and w are related to the alleged "star"

Math
To find the angle between u and v, |u|*|v| cos? = u•v 3.67*2.16 cos? = (1.6)(-2.1)+(3.3)(-0.5) cos? = -5.01/7.93 = -0.63 ? = 129.18° So the projection of u on v is |u|cos? v/|v| = 3.67(-0.63)/2.16 v = -1.07v ? 2.3i+0.5j

math
there is a very similar problem here: http://www.jiskha.com/display.cgi?id=1491093991

urgent calculus help please
If the top of the ladder is at height y, then x^2+y^2=400 when x=5, y=5?15 x dx/dt + y dy/dt = 0 Now just plug in your numbers.

math
u.v = -24+24 = 0 so u and v are perpendicular Where did Henry go wrong? 5/11 is the slope of the line between the two points. It is not the tangent of the angle between the two vectors. For that, you need tan? = tan(arctan(-8/-3)-arctan(-3/8)) = tan(pi/2) ? = pi/2 Also note ...

Algebra
M - M/5 - 200 = 800

discret math
no graph

Calculus -math
http://www.jiskha.com/display.cgi?id=1340080795

Math
No idea, but ?(k+2) = 2?(k-1)

Calculus
⊿ &rrtri;

Calculus
The interval is of length 4, so you will have three rectangles of width 4/3. So, what are the left (right) endpoints? Calculate f(x) at those three values, and multiply by the rectangle width (4/3).

math
I assume you mean x^3 = e^(?4y^4?9y) otherwise using logs makes no sense. So, we have 3logx = -4y^4-9y 3/x dx/dy = -16y^3-9 dx/dy = -x/3 (16y^3+9) so, dy/dx = -3/[x(16y^3+9)] Not the usual formulation, eh? using implicit differentiation, we get 3x^2 = -(16y^3+9)e^(?4y^4?9y) y...

MATH
4/3 ?r^3 = 10^3 r^3 = 3000 / 4? r = 6.2

Mathematics
you know that the area is (AB*BC)/2 = (?34*BC)/2=17 BC = 34/?34 = ?34 So, now you know that 5^2 + (2-y)^2 = 34 y = 5 or -1

Maths
well what is 9-21 ?

physic
10 seconds with google (or, I suspect a minute or two in your class text) would have provided: 331 m/s is the speed of sound in air at 0° C. The formula to find the speed of sound in air is as follows: v = 331m/s + 0.6m/s/°C * T So, solve that when v = 662 m/s. Note ...

maths
7P3 = 7*6*5

maths
one

Math 7th
reflection over the y-axis just changes the signs of the x values: (x,y) -> (-x,y) Now just plug in your numbers.

calculus
y = (3x+17)^13 (14x+6)^11x^-4/5 / (20x +3)^-9 ln y = 13ln(3x+17) + 11 ln(14x+6) - 4/5 ln(x) + 9ln(20x+3) 1/y y' = 39/(3x+7) + 154/(14x+6) - 4/(5x) + 180/(20x+3) Now the rest is just algebra. See if you get the result here: http://www.wolframalpha.com/input/?i=(3x%2B17)%...

algebra 2
For all these, draw a triangle in the standard position. Then recall that sin? = y/r cos? = x/r tan? = y/x For the first one here, you have sec? = -15/4 so, cos? = -4/15 Now cos? is negative in QII and QIII, so you find cos^-1(-4/15) in those quadrants.

Chemistry
how many moles in 17.2L? N2+3H2 = 2NH3 2/3 that many moles of NH3 Then recall the PV = nRT

math
(-2x^2 +3x -7) y= -2x^2 +3x +17 (-4x+3)y + (-2x^2+3x-7)y' = -4x+3 y' = (4x-3)(y-1)/(2x^2-3x+7) y'(-1,-1) = (-7)(-2)/(2+3+7) = 7/6 --------------------------------- doing the long division, y = (2x^2-3x-17)/(2x^2-3x+7) = 1 - 24/(2x^2-3x+7) y' = 24(4x-3)/(2x^2-3x...

Geometry
6":3' = 6:36 = 1:6 10":4' = 10:48 = 5:24 so, use the smaller scale factor, and ((24/5)/6)^2 = 16/25 of the space will be used.

Precalculus
Hmmm. Assuming that in precal you have not yet learned to take a derivative, consider that the area is increasing at a rate equal to the change in radius times the circumference. That is, if r changes very little, you are just adding a new, very thin circle to the area. That ...

math
If x is at 8.5%, then the rest (36000-x) is at 3.5% So, equate the interests earned: .085x = .035(36000-x)

math
the diagonal of the rectangle is the diameter of the circle: 13 So, the area between rectangle and circle is ?(13/2)^2 - 12*5 = 169?/4 - 60

Math- Alegebra
The answer is correct. I have no idea how you are supposed to enter it.

Math- Alegebra
since |x| > 0 for any x?0 just shade the whole number line, but with an open circle at 0. As you say, an open circle at 0, with rays pointing in both directions.

Algebra
If there are x general tickets, then the rest (1133-x) are reserve. So, add up the receipts: 2.00x + 6.50(1133-x) = 3836.50

Algebra
Add 14 to their ages, and if Joan is x years old now, you have x+20 + 14 = 2(x+14)

math
a line will not reflect the reality, as it will include fractional values. Only integer numbers of tickets can be used. Surely you can see the relationship between c and b.

core mathematics
draw a diagram. It shows that if the height is h, then h cot71° + h cot45° = 70

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