Monday
December 22, 2014

Posts by STEVE


Total # Posts: 27,668

Math
gee - why not follow the hints? Use cross products: if a/b = c/d, then ad = bc So, for the first, try each pair: 1. 24/96 , 27/108 ? 24*108 = 96*27 YES 2. 17/102 , 12/70 ? 17*70 = 102*12 NO 3. 21/51 , 35/85 ? 21*85 = 51*35 YES 4. 45/75 , 63/105 ? 45*105 = 75*63 YES Try the ...
November 24, 2014

Math
sinB/b = sinA/a sinB = 9(sin28)/15 = 0.2817 B = 16° or 164°
November 24, 2014

Math
since the distance s = rθ the object travels 8.1*10 = 81 cm/s Curious how you got 47
November 24, 2014

Calculus
or, 4 + 4/x^2 :-)
November 24, 2014

Calculus
just do a long division (4x^2+4)/x^2 = 4 + 2/x^2
November 24, 2014

math,trigonometry
well, you know that y/35 = cos 20° x/35 = sin 20° This problem is slightly sly, since most of the time they give you the angle with the ground!
November 24, 2014

caculus
let u = arcsin(x) du = 1/√(1-x^2) dx and the integrand is u^6 du
November 24, 2014

math
q = 2d 25q+10d = 360
November 24, 2014

physics
1W = 1J/s = 1N-m/s Just look at the units. You have 100,000N * 250m/s = 25,000,000N-m/s = 25MW
November 24, 2014

math
you asked it much better the first time. Why garble the question and post it again?!?!?
November 24, 2014

math
we are told that d = 2q 10d+25q = 135 now just solve for q 10(2q)+25q = 135 45q = 135 q = 3
November 24, 2014

math
2 A's out of 16 letters. P(A) = 2/16
November 24, 2014

algebra
If she started with d dollars, and bought y yards, then we are told 29.50y + 12.00 = d 19.75*2y = d+28.00 So, she started with $130 and bought 4 yards. check: 29.50*4 = 118, leaving 12 left over 19.75*8 = 158, $28 too much
November 24, 2014

Trig
Remember, it's sinA/a = sinB/b What you have is sinA = 5.74, not A=5.74 There is no angle with sine of 5.74. Clearly there will be no triangle here. Sin 88 is almost 1, so 23/4 that will be much more than 1.
November 23, 2014

algebra
c = 4b+1 .12b + .10c = 2.18 Now just solve for b and c
November 23, 2014

Calculus
v(t) = h'(t) = -32t + Vo Now just plug in t=5 and whatever Vo was.
November 23, 2014

Trig- math
how did you get sinA? Also, the area = (bc sinA)/2, not (ab sinA)/2 849^2 = 930^2 + 1301^2 - 2*930*1301 cosA A = 40.6° area = b*c*sinA/2 = 930*1301*0.651/2 = 393,879
November 23, 2014

Trig
-6u-3v = -6(2i-5j) - 3(-i+3j) = -12i+30j+3i-9j = -9i+21j |-6u-3v| = √(81+441) = √522 x = |v| cosθ and y = |v| sinθ Since cos60° = 1/2 and sin60° = √3/2 v = (4(1/2),4(√3/2)) = (2,2√3) I assume that (u)(v) means u•v If so, ...
November 23, 2014

Calc
See the first related question below. Just change the numbers as needed
November 23, 2014

Basic Math (Check my answer)
It is C width = area ÷ length
November 23, 2014

algebra
If the speed of the plane and the wind are p and w, then since distance = speed * time, 3(s+w) = 390 5(s-w) = 390 s = 104 w = 26
November 23, 2014

Math
do you know how to plot points? If so, just plot the four points above. Then you can measure the length and with of the rectangle. And surely you know how to wind the area of a rectangle, given its length and width ...
November 23, 2014

Trigonometry
since cos pi/6 = √3/2, sec pi/6 = 2/√3 Now just finish it up.
November 23, 2014

math
just solve for a: 14.7 e^(-0.21a) = 11.11 e^(-0.21a) = 0.7558 -0.21a = ln 07558 = -0.28 a = 4/3
November 23, 2014

Algebra 2
x^2 = 6y+10 (6y+10)^2 + y^2 = 2 37y^2 + 120y + 98 = 0 now just solve for y, then x. I hope you're looking for complex solutions... See http://www.wolframalpha.com/input/?i=solve+x^2%2By^2%3D2%2C+x^2-6y%3D10+
November 23, 2014

Math
4(x+2)+3x+2(x-y) 4x+8+3x+2x-2y 9x-2y+8 Not real sure just what you're asking for.
November 23, 2014

Maths
lots and lots. Clearly, 4 by 5 But also √20 by √20 1 by 20 7 by 3 (21 rounds to 10) Just pick any numbers that multiply to give a value between 19.5 and 20.5
November 23, 2014

Math
32(2)^2x-12(2)^x+1=0 Recall that 2^2x = (2^x)^2, so you have 32(2^x)^2 - 12(2^x) + 1 = 0 Now, just to make things easier to read, let u = 2^x and you have 32u^2 - 12u + 1 = 0 (8u-1)(4u-1) = 0 u = 1/8 or 1/4 So, that means we have 2^x = 1/8 ------> x = -3 2^x = 1/4 ------>...
November 23, 2014

math
we have a/c = 7/3 a+90 = 3c a = 315 c = 135 but, that's only 3/4 of the seats, so the total is 4/3 (315+135) = 600
November 23, 2014

Algebra
lazy way: try the points to see whether they fit. algebraic way. Plug in the values for x and y to get 9a-3b+c = -22 a-b+c = 2 9a+3b+c = 2 Either way, it's -2,4,8
November 23, 2014

Calculus
try this site: http://mathworld.wolfram.com/RiemannSum.html
November 23, 2014

Maths
just plug in values for n, from 1 to 5. Tn is the nth term. So, for the first one, T1 = 3(1^2)-2 = 3*1-2 = 3-2 = 1 T2 = 3(2^2)-2 = 3*4-2 = 12-2 = 10 and so on
November 23, 2014

Chemistry
Just using estimates, it look like you have about 0.5 moles of O2 0.3 moles of N2 1.2 moles of H2 So, the fraction of the total represented by O2 is 0.5/2.0 = 25% Now you can refine that by using the real mole values.
November 23, 2014

Chemistry
Since each mole of HCl neutralizes 1 mole of NaOH, .025L * .288M = 0.0072 moles HCl So, for the NaOH, 0.0072 moles / 0.150M = .048L or 48 ml
November 23, 2014

Algebra 2
It's better if you show your work first, but here goes. Since y = x-3, x-3 = 3x^2-5 3x^2 - x - 2 = 0 (3x+2)(x-1) = 0 x = 1 or -2/3 and you can now evaluate y for each x. as shown at http://www.wolframalpha.com/input/?i=solve+y%3D3x^2-5%2C+x-y%3D3
November 23, 2014

math
No, that can't be right. The balloon is rising at 15 m/s. Aha. d^2 = 381.25t^2 + 6000t + 40000 2d dd/dt = 762.5t + 6000 dd/dt = 15.7 m/s
November 23, 2014

math
after t seconds, the distance d is d^2 = (200+15t)^2 + (12.5t)^2 d^2 = 381.25t^2 + 960t + 6400 So, 2d dd/dt = 762.5t + 960 At t=1, d=215.36 So, at t=1, dd/dt = 4.0 m/s
November 23, 2014

Calculus
y=0 is part of the boundary. y>=0 restricts us to the area above the x-axis.
November 23, 2014

Calculus
The curves intersect where -y^2/2 = 2-y^2 That is, at (-2,2) So, we have the left boundary is x = -y^2/2 and the right boundary is x = 2-y^2 The vertices of the region are at (-2,2),(0,0),(2,0) So, using shells, v = ∫2πrh dy where r = y and h = (2-y^2)-(-y^2/2)=2-y^...
November 23, 2014

Algebra
15P2 = 15*14
November 23, 2014

Trig
|v| = √(5√2)^2 + (5√2)^2) = √(50+50) = 10 tanθ = y/x = -5√2 / 5√2 = -1 θ = -45° Plot the point and you can easily see that this is so.
November 23, 2014

Math (trig)
Since the diamond's diagonal is along the direction of travel, the angle between the direction and the baseline is 135°. The distance from 2nf base to dcf = 409-90√2 Now use the law of cosines to find the unknown distance: d^2 = (409-90√2)^2 + 90^2 - 2(409-...
November 23, 2014

math
Assuming that coins of equal vale cannot be distinguished from each other, (2+3+4+5)! / 2!3!4!5! = 2522520
November 23, 2014

MTH LIBERAL ARTS
7C4 = 7C3 = 7*6*5 / 1*2*3 = 35 The number of choices is 10*10*9 10*10*9 * 21 = 18,900 seconds That's only 5 hr 15 min
November 23, 2014

Calculus
As usual, you can use shells or discs (washers). I think shells is easier here. Each shell has the line y=1 as its axis, and height the distance between the curves. We integrate on y, since the shells have thickness dy v = ∫2πrh dy where r = (1-y) and h = √y-y...
November 23, 2014

Algebra
√6+2 + √6-2 = 2√6 (√6+2)(√6-2) = 6-2^2 = 2 Now do the math
November 22, 2014

Algebra
No idea how the lines are laid out. But if it's perimeter you want, just add stuff up. Just as a start, I'd say 10√150 = 10√25√6 = 10*5√6 = 50√6 9√96 = 9√16√6 = 9*4√6 = 36√6 7√54 = 7√9√6 = 7*...
November 22, 2014

Math
Hello i am doing assignment in my math 20-2 class. The question is: data collected of cars passing on the road revealed that the average speed was 90 km/h with a standard deviation of 5 km/h and the data which is normally distributed a policeman is assigned to set photo radar ...
November 22, 2014

word problem
94 + 5*44 = ?
November 22, 2014

Algebra
It would be nice if you used standard notation for stuff. -5a^-2/b^3 = (-5)(1/16)/8 = -5/128 (-5a)^-2/b^3 = (20)^-2/8 = 1/3200 How did you arrive at 1/10? -16^(-1/2) = -1/4 Negative exponents mean reciprocals (2-3)√14 is indeed -√14 5/√20 - 2/√45 = 5/(2...
November 22, 2014

Math
ever heard of arccos(x) or cos -1x
November 22, 2014

Calculus
f(x) increases means that f'(x) > 0 f'(x) = 2(x+3)(2x-11)/(4x-5)^2 So, just find the intervals where f'(x) is positive
November 22, 2014

AP Calc
hmmm. better see my solution to your previous posting. the distance should have (x-8)^2 + 4x, not (4x)^2, since 4x is already y^2!
November 22, 2014

AP Calc
one way to tell whether you did it right, is to show your work! Then we can see how you arrived at your result.
November 22, 2014

AP Calc - PS
Ignore the comment about the length of the normal line. The question did not actually ask for the distance, just the point on the curve. We just wanted to find the point where the normal to the curve passes through (8,0)
November 22, 2014

AP Calc
One way is to find the length of the line normal to the curve which passes through the point. The tangent at any point has slope 1/√x, so the normal line has slope -√x. The line through (8,0) and (x,2√x) has slope 2√x/(x-8), which we want to be -√...
November 22, 2014

algebra
#16 and #18 are correct though I must say the typesetting needs work The others, no idea. No diagrams or graphs here.
November 22, 2014

AP Calc
yep. nice feeling when it clicks, no?
November 22, 2014

AP Calc
the max or min area occurs where dA/dx = 0 dA/dx = 2(5x^4-6x^2+1) = 2(5x^2-1)(x^2-1) So, dA/dx = 0 at x = ±1/√5, ±1 Naturally, A=0 at x=1, so the obvious choice is x = 1/√5. Thus, the maximum possible area is 2/√5(1/5-1)^2 = 32/(25√5)
November 22, 2014

Physics
the tension is just the weight of the iron, minus the weight of the water displaced.
November 22, 2014

Chemistry
there are .03716*0.510 = 0.01895 moles of HCl Each mole of HCl neutralizes 1 mole of NaOH So, there were .01895 moles of NaOH in 0.025L of solution. Thus, the solution was 0.01895mol/0.025L = 0.758M
November 22, 2014

statistics
I found that the inversenorm is 83.5922, what do i do after this?
November 22, 2014

statistics
Ok but before we start we usually write downwhat the mean equals, standard deviation and X. Im still confused on which one would be the mean.
November 22, 2014

statistics
Hello i am doing assignment in my math 20-2 class. The question is: data collected of cars passing on the road revealed that the average speed was 90 km/h with a standard deviation of 5 km/h and the data which is normally distributed a policeman is assigned to set photo radar ...
November 22, 2014

maths
2score=40 2dozen=24 so, the cost will be 24/40 * 280
November 22, 2014

mechanics
stone 1: height is 40 + 20t - 9.8t^2 stone 2, 3 seconds later: 30(t-3) - 9.8t^2 they meet (or pass closely) when the heights are equal: 40 + 20t - 9.8t^2 = 30(t-3) - 9.8(t-3)^2 So, just solve that for t, and then plug that value into either equation.
November 22, 2014

Algebra 2
OK. But this is Algebra I, which you have presumably already passed. But, moving right along, 5x^2 - 16x + 6 = 0 The quadratic formula says that the roots of ax^2+bx+c are x = (-b±√(b^2-4ac)/2a So, for this problem, that means x = (16±√(16^2-4*5*6))/...
November 22, 2014

Algebra 2
Hmmm. By algebra 2 you should surely know how to solve quadratic equations... x^2+(4-2x)^2=10 x^2+16-16x+4x^2-10 = 0 5x^2 - 16x + 6 = 0 ...
November 22, 2014

Math
Review your text on partial fractions. You know that the sum will be (Ax+B)/(x^2+1) + C/(x-2) + D/(x-2)^2 If you put all that over a common denominator, you get (Ax+B)(x-2)^2 + C(x-2)(x^2+1) + D(x^2+1) ------------------------------------------------ (x^2+1)(x-2)^2 Expand ...
November 22, 2014

Math
I get (27x+14)/(x^2+1) - (27/25)/(x-2) + (8/5)/(x-2)^2
November 22, 2014

calc
I will assume you meant f'(0) = 3 in that case, f"(x) = 10 f'(x) = 10x+c 3 = 10*0+c -----> c = 3 f'(x) = 10x+3 f(x) = 5x^2+3x+c 1/3 = 5*0+3*0+c c = 1/3 f(x) = 5x^2 + 3x + 1/3 I figure you can now find f(1).
November 22, 2014

calc - typo
Sorry. If f'(x) is a constant, f"(x) = 0 Fix the typo and try again.
November 22, 2014

Fencing Applicatio
Clearly, P(f) = 500+20f There are lots of good graphing web sites. Or, heck, you can get out the old graph paper and a pencil!!! Imagine!!
November 22, 2014

Calc
You can set it up here to find out: http://mathworld.wolfram.com/RiemannSum.html
November 22, 2014

Math
clearly d=6 since T6 = T4+12 So, T1 = T4-18 = 19 T7 = T4+18 = 55
November 22, 2014

math
since the height:shadow ratio is the same for both, h/12 = 8/3
November 22, 2014

algebra
(3x)(4x^4) - (3x)(5x) 12x^5 - 15x^2 or, 3x^2(4x^3-5) Not sure what you mean by simplify
November 22, 2014

algebra
you have the formula. Just use your calculator, or any online calculator to find the values. For #1, just plug in t=5 For #2, just solve 3000 e^(0.07t) = 17700 e^(0.07t) = 5.9 0.07t = ln 5.9 ... For #3, just solve e^(0.07t) = 2
November 22, 2014

jm
study, study, study!
November 22, 2014

MATH
Cut a slice through the pyramid, perpendicular to one of the faces. You have a right triangle, with the base 18.6/2 and the hypotenuse of 14.8 Now just use the Pythagorean Theorem to find the height.
November 21, 2014

Math
First, you have to note that since log(z) is defined only for z>0, we must have x < -4/5 or x > 4/7 In that domain, there is an inverse. You made an error in your last line, which is where the trouble arises. It should be x = log (6y+5)/(7y-4) e^x = (6y+5)/(7y-4) e^x(...
November 21, 2014

Precalc
Since I have no diagram, I make the following assumptions. We can view the scene from high above, so the elevations of A and B make no difference. C is between A and B, but not on the line AB. The fire at F is on the opposite side of AB from C. So, we can use the law of ...
November 21, 2014

math help
so, if you divide f(x) by (x-4i) you get f(x) = (x-4i)(x^2+12x+32) = (x-4i)(x+4)(x+8)
November 21, 2014

Algebra 2
since we know y = 4-2x, use that: x^2+(4-2x)^2 = 10 5x^2 - 16x + 6 = 0 Now it's just the normal routine for solving a quadratic equation.
November 21, 2014

Math
well, it's 4 hours, and a full rotation is 12 hours. Tat help?
November 21, 2014

Physics
if we ignore air resistance, the bale's horizontal speed stays the same as the plane's. So, it remains directly below the plane till it hits the ground.
November 21, 2014

Algebra 2
you can easily check by substituting in those values to see whether they work in both equations. FYI, they do.
November 21, 2014

math
Actually, she can make 28 1/3 tacos. Since a taco uses .3 lbs, there is just .1 lb left over.
November 21, 2014

Math
m(x) = 4x, so m(f) = 4f = 12x^2 g(x) = 3x-1, do g(m) = 3m-1 = 36x^2-1 Using your nested notation, g(m(f(x)) = 3(m(f(x))-1 = 3(4(f(x))-1 = 3(4(3x^2))-1 =36x^2-1
November 21, 2014

mixture problems
If x is 25%, then the rest (10-x) is 50%. So, .25x + .50(10-x) = .40(10)
November 21, 2014

Math Help!!!
review your notes. There are whole numbers natural numbers integers rational numbers irrational numbers
November 21, 2014

math
9i/(-3+8i) = (9i)(-3-8i)/(3^2+8^2) = (72-27i)/73
November 21, 2014

Math
10000((1+.07*5)-(1+.06)^5) = 117.74
November 21, 2014

English PLEASE!!!
you picked a thermometer, which just measures. A thermostat affects things. So, the church influences society (by transforming the mores).
November 21, 2014

algebra
s = kv^2, so s/v^2 is constant. That means you want s where s/55^2 = 81/30^2
November 21, 2014

math
4/(5x-3)
November 21, 2014

Math Help!!!
#5,#8 no idea - no diagram #7 (-8,-10) (-8,10) is reflected through the origin. the others look good.
November 21, 2014

Math
amplitude is (125-99)/2 = 13 The center line is 125-13 = 112, not 122 2pi/k = 2*14, so k = pi/14 Since f(15) = 125, the max, that means that f(1) = 99, the minimum cosx has a max at x=0, so -cos(x-1) has a minimum at x=1. f(t) = 13 cos(pi/14 (x-1)) + 112 The graph at http://...
November 21, 2014

MAth Help
the vertical shift is +80 The curve oscillates about f=80 with an amplitude of 22. How did you arrive at 6?
November 21, 2014

Math
the vertex of y=a(x-h)^2+k is at (h,k)
November 21, 2014

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