Friday

July 25, 2014

July 25, 2014

Total # Posts: 23,961

**Trig**

The angle is θ, where tanθ = (173-5)/50

**statistics**

75 is 5 std from the mean of 60, so 1 std must be 3.

**Test and Measures**

In that case, you need to review what the Z table means. Without that, you have no context. A Z score of zero means that the value is 0 std away from the mean. In this case, it means that the score is the same as the mean, or 65. If such a question is assigned, it can only ind...

**Test and Measures**

what score is 0 std from the mean of 65?

**science**

Each mole of Pb(NO3)2 will make one mole of PbO So, how many moles of Pb(NO3)2 are in 4.0 grams? What is the mass of that many moles of PbO

**Geometry**

you need factors of 39 which differ by 10. I suggest 3 and 13. So, x^2-10x-39 = (x-13)(x+3)

**math**

initial velocity is 800 ft/s upward it does not change the equation. initial position is 0, since it was fired from the ground (height=0) It falls back to the ground when h=0. So, solve for t in 800t-16t^2 = 0 Solve for t in 800-16t^2 = 6400 (why are there two solutions?) Same...

**geometry**

If the length is x, then 20/x = sin 75.5° Now just solve for x.

**math**

1/a + 1/b + 1/c = 2 If we let a <= b <= c, then there's always the easy case where a=1 b=2 c=2 I guess that's the only one, since if any of the three values is 3 or more, then the fractions can't add up to 2.

**Algebra**

x^2+6x+8 = 0 (x+2)(x+4) = 0 Since (x+a)(x+b) = x^2 + (a+b)x + ab you are looking for factors of 8 that add up to 6. 5w^2-3 = 0 5w^2 = 3 w^2 = 3/5 w = ±√(3/5)

**Math**

If she started with x dollars, 4/9 x = 20b x = 45b 10b + 5d = 5/9 x We want the ratio d/b. So, 10b + 5d = 5/9 * 45b 10b + 5d = 25b 5d = 15b d/b = 3

**math**

The cat runs 4/7 as fast as the dog. So, if the dog has to run x meters, the cat will have run 4/7 x during that time. x = 12 + 4/7 x 3/7 x = 12 x = 28 That is, the cat will have run 16 meters while the dog runs 28 meters, having made up the cat's 12-meter head start.

**Math 8th grade**

Take a look at the last terms: x and 3x-2 So, for all the other places where x is given, y = 3x-2 Where y is given, x = (y+2)/3 Now just fill in the blanks.

**Math**

a = -12 d = 3 S = n/2 (-12 + 39) Your mission, should you choose to accept it, is to figure out how many terms there are (n) from -12 to 39

**math**

If there are x ounces of the cheap tea, then the rest (32-x) is expensive. The cost of the mix must be the total of the costs of the components, so 3.99x + 8.99(32-x) = 5.99*32 Now just solve for x.

**algebra**

2x-x^3 >= 0 x(2-x^2) >= 0 This function crosses the x-axis at the roots, which are at x = -√2, 0, √2 Now, you know that y is negative for large negative x, so y < 0 in (-∞,-√2) y >= 0 in [-√2,0] y < 0 in (0,√2) y >= 0 in [&...

**College Algebra**

The common denominator is 2(x-2). If you multiply through by that, you get x - 7*2(x-2) = 1*2 Now just proceed normally: x - 14x + 28 = 2 -13x = -26 x = 2 For the next one, you must be interpreting the equation as 1/(2y) + 4 = 1/(7y) if you multiply by 14y, you get y + 4*14y =...

**College Algebra**

How did it not work out? Show us what you tried and why you think it's wrong...

**College Algebra**

2/9 + -5/6 = -8 - (-3/7 k) 2/9 - 5/6 + 8 = 3/7 k 133/18 = 3/7 k 931/54 = k I suspect a typo. Show your steps, as I see no way to get 82k from that input.

**algebra**

Assuming a typo, and you meant peanuts instead of almonds, we have 2.95p + 7.95(80-p) = 6.50*80 p = 23.2 So, 23.2 lbs of peanuts and 56.8 lbs of cashews or whatever the nuts really are.

**Math**

If the base of the triangle is 2b, then b/h = tanθ, so b = h tanθ The area A = 1/2 (2b)(h) = bh = h^2 tanθ So, θ = arctan(A/h^2)

**geometry**

All I see is a then-clause. No conditions appear to be involved. But, I suppose you could say If: the product of x and y is an odd multiple of 5 AND: x and y are integers Then: x or y is a multiple of 5 AND x and y are odd Without those AND conditions, not much can be said abo...

**algebra**

If you plot both values on the number line, you will see that -2/3 is to the right of -1, so the statement is false.

**Math Algebra**

Assuming you mean 2/(3x) + 4/x = 7/(x+1) then multiply through by (3x)(x+1) and you have (with x≠0 or -1) 2(x+1) + 4*3(x+1) = 7(3x) 2x+2 + 12x+12 = 21x 7x = 14 x = 2

**decimals**

The number is a.bcd the digit in the hundreths place of 4.361 is 6, so, c>6 the digit in the tenths place of 2.85 is 8, so d>8 a.b = 8.6 So, we have 8.6[789]9 where the 3rd digit can be any of those in brackets.

**Math**

1. No - surely you have drawn pgrams which are not squares. 2. No - but 3. Yes 4. Yes 5. No - a rhombus has all sides equal Looks like you need to review your definitions some, and play around drawing some figures, with sides of various lengths and slants.

**Mathamatics**

you don't solve an identity -- you prove it. 1-cos^2θ = sinθ cosθ/cotθ since cotθ = cosθ/sinθ, now we have sin^2θ = sinθ sinθ QED (1-cos^2θ)(1-tan^2θ) = (sin^2θ-2sin^4θ/(1-sin^2θ) sin^2θ(1-tan^...

**Harris**

that would be 2(3x + 5 + x +7) = 8x+24

**Math**

these are all standard angles you should know by heart. It will save you a lot of trouble working them out all the time. -1 - 1 + 1 - 2 + 2 + 1 = 0 It also involves knowing the signs of the trig functions in the various quadrants, and how to figure the reference angle. Also, l...

**Math**

5{3a-2b(3a+6b)+6a} 15a-10b(3a+6b)+30a 15a-30ab-60b^2+30a 45a-30ab-60b^2

**Geometry**

I'm sure the question is correct. You probably want to know whether your answer is correct. I believe you are right in your choice.

**Math**

If you want to use vector notation, then if the vector to A is a, and to B is b, etc. Then AB = b-a BC = c-b CA = a-c AB+BC+CA = b-a+c-b+a-c = 0 AB is b-a because if there is a vector u such that a+u=b, then u=b-a.

**Math**

Looks to me like AB + BC + CA = 0 Similarly for the other one. Getting back to A, the sum is just 0 again. The vectors form a closed polygon, so the net result is zero.

**math**

54-24 = ?

**math**

30 <= 18+0.3(x-50) <= 45 12 <= .3(x-50) <= 27 40 <= x-50 <= 90 90 <= x <= 140

**algebra**

what's with the braces? Just use vertical bars: |8| = 8 |-9| = 9 and so on |x| = -x if x is negative otherwise, |x| = x

**geometry**

the scale Q'/Q = 2/3 2/3 * 15 = 10, the new length

**Geometry**

consecutive angles are supplementary opposite angles are equal So, what do you have here?

**geometry**

my first guess is you are allergic to that fruit.

**geometry**

2 - 3 = -1 Oops. If by difference, you mean the larger minus the smaller, the conclusion is true. Technically, though, the difference is minuend - subtrahend ----------------- difference So it matters which is which.

**math**

MS Sue is trying to get you to figure out 8*(6ft+4in) = 8*6ft + 8*4in = 8*6*12in + 4in = ? in

**7th grade math**

(2/5 x) > 7 x > 7 * 5/2 x > 35/2 So, place a dot at 35/2 and shade to the right 2(x+7)-4 > 5(x-3) 2x+14-4 > 5x-15 2x+10 > 5x-15 25 > 3x 25/3 > x So, place an open circle at 25/3 and shade to the left

**Calculus**

This is indeed the MVT. The secant line through (1,1/3) and (4,2/3) has slope 1/9. The MVT says that in the interval (1,4), there is some c where f'(c) = 1/9. f'(x) = 2/(x+2)^2 So, we want c such that 2/(c+2)^2 = 1/9 (c+2)^2 = 18 c+2 = ±3√2 c = -2±3...

**Calculus**

use integration by parts u = x, du = dx dv = cos 15x dx, v = 1/15 sin 15x Now we have ∫x cos15x dx = 1/15 x sin15x - ∫1/15 sin15x dx And that's clear sailing. . . right?

**algebra/geometry**

no idea. However, what you have factors into (x-7)(x+4) = 0 Then the roots are clearly 7 and -4

**IB Maths SL**

The slope of the tangent to f(x) is f'(x) = (g'h-gh')/h^2 So, the normal has slope h^2/(gh'-g'h) At x=2, that is 6^2/(18*2-5*6) = 6 f(2) = g(2)/h(2) = 18/6 = 3 So, now you have a point and a slope, so the normal line at x=2 is y-3 = 6(x-2)

**Cosine Law NEED HELP QUCIK**

at 9:30 the hour hand has gone clockwise 9.5/12 * 360 = 285° from the top The minute hand is at 180° So, the angle between them is 105°. You want d where d^2 = 12^2 + 10^2 - 2*12*10*cos 105° d^2 = 306.1 d = 17.5 Just a straightforward application of the law of ...

**Geometry**

Just looking at the figure, angles AHM and TMH are congruent, so 3x+5 = 7x-27 x = 8 So, m<AHM = 29 If you answered #15, #17 should have been obvious.

**Calculus**

v = ∫[1,t] πr^2 dx where r=y=1/x. So, v = π∫[1,t] 1/x^2 dx = π(-1/x) [1,t] = π(1 - 1/t) as t→∞, v→π

**Algebra 1--Please, help me! (Steve)**

by now these should be getting easier. When multiplying/dividing powers, add/subtract the exponents. 3r^2t/6st^3 x 2r^2s^3t^2/8r^4s^2 = (3*2)/(6*8) r^(2+2-4) s^(-1+3-2) t^(-3+1+2) = 1/8 You gotta start using parentheses... x^2 + x/x^2 + 3x + 2 + 3/x + 2 = (x^2+x)/(x^2+3x+2) + ...

**physics-force and pressure**

well, geez - pressure is force/area, so that would be 300N/700cm^2 = 3/7 N/cm^2 Chances are you should convert that to N/m^2 so your answer could just be in Pa.

**Algebra 1**

you are correct

**Algebra 1**

You got (a) correct. So, for (b), just plug in x=5 and evaluate the fraction.

**Algebra 1**

yes, #1 = 2a^2b/c^2 #2 = 1/(3x-15)

**Algebra 1**

Hmmm. How about 2a^2b / c^2

**Algebra 1**

when dividing by a fraction, just invert and multiply. So, #1 3a^4b/2a^2c^3 * 8c^4/12a^2c = 3*8/12 a^4/a^2 b c/c^3 ... #2 x^2+4x-5 = (x+5)(x-1) x^2-25 = (x+5)(x-5) So, you just have (x+5)(x-1) / 3(x-1) * 1 / (x+5)(x-5) = (x+5)(x-1) / 3(x+5)(x-1)(x-5) = ...

**Algebra 1--Please, help me!**

#1 also t=0, since t^2-t = t(t-1) The original expression must be examined for excluded values. (t-1)/(t^2-t) = 1/t, so t≠0. But dividing top and bottom by t-1 to get there means that t≠1, because you cannot divide by zero. #2 huh? There is no x-2 in the denominato...

**math**

x(x-2) + y(x-2) (x+y)(x-2)

**trig - incomplete**

as usual, draw a diagram and recall your basic trig definitions. If the ledge is at height a, and at distance x from the tree (with height h), then we have (h-a)/x = tan25° a/x = tan10° Now eliminate a to get h-x tan25° = x tan10° h = x(tan25°+tan10°) N...

**algebra**

take a look at http://www.wolframalpha.com/input/?i=solve+z^5+%3D+i Note that the angles given are pi/2 + k*2pi/5

**Math**

if y = u^v, where u and v are functions of x, y' = v u^(v-1) u' + ln(u) u^v v' If you look carefully, you will see that y=u^n and y=a^v are just special cases, where u' or v' = 0. Anyway, just plug in u = x^2 v = sinx and you get (2x sinx)*(x^2)(sinx-1) + l...

**maths - still bogus**

1983 is not a leap year. After you fix that, just divide the number of years involved by 4, but watch for remainders. Then post your work, so we can see how you solved it...

**misc stuff**

If you're planning to attend a school where English is the language of choice, I suggest you improve your language and writing skills first.

**maths**

First, there was no 29th of Feb in 1983; that was not a leap year Second, you give no date to end the calculation.

**maths**

98-14 (also, the verb is "lose," not "loose." Unless she deliberately threw them away.)

**math**

I assume you know how to find the volumes of such solids. Just subtract the volume of the sphere from that of the cylinder. The leftover space holds the water: π(2x)^2*(2x) - 4/3 πx^3

**algebra 2 and Trigeonomerty**

(a) You have to multiply for the three draws, and allow for the changing population of blues and the total: 12/30 * 11/29 * 10/28 (b) That would be 18/30 * 17/29

**math - incomplete**

no table provided

**algebra**

just multiply each event by its probability. The sum is the expected value of income. Then subtract the costs involved: (395000)(1/40)+(125000)(1/20)-25000 Technically, we need all the probabilities to add to 1, so we should include the term for a dry well: (0)(37/40) but that...

**Algebra 1--How Am I Supposed to Solve This?!**

just divide the two, as you would do with any ratio: (πrl + πr^2) / (2πrh + 2πr^2) πr(l+r) / 2πr(h+r) = (l+r) / 2(h+r)

**Algebra 1--how am I suppose to graph this?!**

plot it the way you plot any function! Pick some values of x and calculate y. Then plot the point at (x,y). The curve will be smooth, but the only poi9nts that make sense in the real world are where x is a divisor of 75. Your graph should look like this: http://www.wolframalph...

**math**

mixed numbers are useless for calculation. Convert them to fractions and things get easy. 21/10 * 15/7 = ?

**Precal, please help asap!**

You need to clarify the diagram. Label the airplane A, the tower T and the post P. The plane is at altitude h, with AP=t and AT=p. Point Q is directly below the plane. The distance PQ=q and thus TQ = 2-q. If the plane is between the tower and the post, then h/q = tanα h/(...

**Algebra, Need help with last part.Thank you**

you are correct on the first two. The last should also be no sweat. There is only 1 2-hearts in the deck of 52 There are 4 twos in the deck. So, how many hearts are there? Also, just as advice, usually you will need to reduce your fractions for your final answers. 4/52 = 1/13 ...

**algebra 1**

since xy = k is constant, k = (1/2)(-10)

**maths**

If you mean x = √(y+3) then x^2 = y+3 y = x^2-3 If you mean x = √y + 3 then x-3 = √y y = (x-3)^2 If you mean √x = y+3 then y = √x - 3 It sure helps if you proofread your posts to make it quite clear what's going on. Use parentheses if there is...

**math**

you know the volume is x*y*z = 12x So, y*z = 12 y cannot be less than 1, so z cannot be more than 12

**math**

You know that if the remainder is zero, x is a multiple of 3. But, there is a remainder of z, so add that in. Only one of the choices is a multiple of 3, with an extra z

**algebra/Did I do this right**

correct.

**Math**

correct

**math**

correct

**algebra**

(x^5+x^2-3)(x^3-1) = x^8-3x^3-x^2+3 Now subtract -3x^3+x^2-4x and you get x^8-2x^2+4x+3 Now subtract 2x^2-4x and you get x^8+3 So, the whole thing is just (x^5+x^2-3)(x^3-1)-(-3x^3+x^2-4x)-(2x^2-4x)

**Math**

x is the total amount added. Since you get x=10, that means that 5m was added on each side. I'm interested in how you made this calculation: (10+x)(20+x)=600 200+10x+20x+4x^2=600 Where did the 4x^2 come from? looks like answer analysis to me. In addition, you did not solve...

**Math**

what is h when d=0? As you know the vertex of a parabola is where d = -b/2a = -4.4/-.88 So, figure h for that value of d. What is h when d=14? Or, how far away is the ball when h=0 (it hits the floor)?

**Precal**

(a) x(t) = 0 (since it went straight up) y(t) = 75 + 76t - 16t^2 (b) Just plug in t=2

**Precal**

(a) If you got the equations, answering the last 4 questions should be no sweat. (b) the ball is in the air while y(t)>0.That is, solve for t when y=0. (c) Knowing how long it took to hit, plug that into x(t). (d) y(t) is just a parabola. As usual, the vertex (where the bal...

**Precal**

boarding at t=0, the height y at time t minutes is y = -60cos(pi/6 t) + 6 Now just start plugging in your numbers.

**Precal**

since the horizontal speed does not change, we have the usual x(t) = 150 cos 30° t y(t) = 150 sin 30° t - 16 t^2 The rest is downhill from here

**Math, grade 10**

except, don't make my typo. Better say x+y = 17

**Math, grade 10**

follow the same logic I used in your previous post: x+y = 18 x^2+y^2 = 185 go for it

**Math, grade 10**

x+y = 18 x^2 + 6y = 163 now substitute for y: x^2 + 6(18-x) = 163 x^2 - 6x + 108 = 163 x^2 - 6x - 55 = 0 (x-11)(x+5) = 0 x=11 and y=7

**math**

slope = rise/run, so 1.9 = 4/run run = 4/1.9

**math**

slope = rise/run = 5/15

**math**

No, x=5 is not correct. The solution set to an inequality is an interval, not just a single point. Your logic should have been: -5(x-7) < 15 -5x+35 < 15 -5x < -20 x > 4 You could have checked your answer to see that x=5 works, but it is not the only number which do...

**Algebra**

Not sure what a 2x3 matrix has to do with coordinates. Can you splain a bit, please?

**Math**

7s/1320ft * 1313ft = 6.96 s assuming instant change in velocity. Assuming a constant acceleration, 1/2 a*49 = 1320, so a = 53.877 ft/s^2 Now, to get 1313 ft using the same acceleration, we have 53.877/2 t^2 = 1313 t = 6.98 s

**algebra**

3 21 (3,21) -3 0 (-3,0) I think. Hard to say just what you are after.

**math**

h/100 = tan 24

**Algebra 1--Please, help me!**

#1 we have n calculators that cost c each. Since nc = k is constant, 24*60 = 80n #2 Actually, the cost must be a positive integer divisor of 75, since the number of packages must be an integer. #3 well, you have the formulas, and you want the ratio scone/scyl = (πrl + ...

**geometry math help**

(a) two layers means 24 cans per layer. The cans are 10 cm across, so the 46x60 dimensions of the box allow for that many cans. The height of the box will accommodate the two layers. (b) You know the way to compute the volume of the box. Now, just subtract 48 times the volume ...

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