Wednesday

October 1, 2014

October 1, 2014

Total # Posts: 25,411

**SAT Math**

how about (A)? 3 is not divisible by 2.
*September 24, 2014*

**Pre-Calc**

clearly, y = a(x+5)^2 - 2 Now just plug in the point and solve for a. But, you want y=ax^2+bx+c, so just expand and collect terms to wind up in that format.
*September 24, 2014*

**Algebra 2**

You are correct
*September 24, 2014*

**Calculus**

y = 3x^2 - x - 5 y' = 6x-1 So, at (1,-3), the slope of the normal is -1/5, and the line there is y+3 = -1/5 (x-1) y = -1/5 x - 14/5 So, where does the line intersect the parabola? -1/5 x - 14/5 = 3x^2-x-5 -x-14 = 15x^2-5x-25 15x^2-4x-11 = 0 (15x+11)(x-1) = 0 So, the line ...
*September 24, 2014*

**Geometry**

R+S = 90 U+V = 90 so, y-2 + 2x+3 = 90 2x-y + x-1 = 90 2x+y = 89 3x-y = 91 5x = 180 x = 36 and now you can take it from there.
*September 24, 2014*

**Pre-Calculus**

the slope is 5/2, so y+3 = 5/2 (x-2) Now rearrange the terms as needed
*September 24, 2014*

**Math 112**

equal has many meanings, most of them to do with numbers. Maybe equal area, equal perimeter, etc. congruent is for geometric properties, not numeric values. For instance, we say two angles are congruent when they have equal measures.
*September 24, 2014*

**geometry**

v = (40)(20*8 + 20*7/2)
*September 24, 2014*

**Math 112**

since both your expressions are identical, I think there's a typo. If you meant for the operators to be "equal" and "congruent", then the answer is that AB and CD are geometric figures. As such, they can be congruent, not equal. They are congruent if ...
*September 24, 2014*

**algebra 2**

Just draw the line 3x+y = 5 then, shade the area below the line, where, naturally, 3x+y < 5 See http://www.wolframalpha.com/input/?i=3x%2By%3C5
*September 24, 2014*

**Math--Teach me?**

work your way from the inside, to get rid of parens and brackets: 2[4(9 – 7) + 1] ÷ 3 2[4(2) + 1] ÷ 3 2[8+1]÷3 Now do the multiply and divide, left to right: 2[9]÷3 18÷3 6
*September 24, 2014*

**Pre-Calculus**

correct
*September 24, 2014*

**Pre-Calculus**

correct
*September 24, 2014*

**Algebra**

just recall that orthogonal means that u•v = 0. So, (a) (1,2)•(k,k) = k + 2k = 0, so k=0 (b) (1,2,1)•(k,2k,4) = k+4k+4 = 0, so k = -4/5 Kind of boring examples, IMO.
*September 24, 2014*

**Pre-Calculus**

Ummm, y = mx+b is called the slope-intercept form because you can just read them off: slope = m y-intercept = b Now can you pick the correct choice?
*September 24, 2014*

**Algebra**

you just need to d a lot of these problems. Look for common factors. 9w-w^3 clearly w can be factored out, so w(9-w^2) Now you have to recall the difference of squares is x^2-y^2 = (x-y)(x+y), so w(3-w)(3+w) As for the rest, I have no idea what 3h2 the 2 power + 1+3a even ...
*September 24, 2014*

**calculus**

z = √(x^2+y^2)+xy ∂z/∂x = x/√(x^2+y^2) + y ∂^2z/∂x^2 = y^2/(x^2+y^2)^(3/2) ∂^2z/∂x∂y = 1 - xy/(x^2+y^2)^(3/2) Since z is symmetric in x and y, the y derivatives are the same, just using y instead of x. As usual, check my ...
*September 24, 2014*

**trig**

review your basic trig definitions, and draw a diagram. You will see that (h-1.6)/50 = tan 36° Now just solve for h.
*September 24, 2014*

**Calculus I**

Since T(t) is the temperature after t hours, N(T(t)) is the number of bacteria after t hours
*September 24, 2014*

**calculus**

f(x) is decreasing when f'(x) < 0, so just solve 6x^2+6x-12 < 0 x^2+x-2 < 0 (x+2)(x-1) < 0 The roots are at -2 and 1, and the parabola opens upward, so f'(x) < 0 between the roots. f(x) is decreasing on (-2,1) Note that it is not [-2,1] because at the ...
*September 24, 2014*

**math,algebra**

3^-1 = 1/3, so you have (x^3/3)^2(12x^5) = (x^6/9)(12x^5) = 4/3 x^11
*September 23, 2014*

**calculus**

(6x^2+4y^2)/(3x+7y)=3 we know that (u/v)' = (u'v-uv')/v^2, so ((12x+8yy')(3x+7y)-(6x^2+4y^2)(3+7y'))/(3x+7y)^2 = 0 36x^2 + 84xy + 24xyy' + 56y^2y'-18x^2-12y^2-42x^2y'-28y^2y' = 0 because the denominator is not zero y'(24x+56y^2-42x^2-28y...
*September 23, 2014*

**Trigonometry**

this is just (1-cos^2)^2 = (sin^2)^2 = sin^4
*September 23, 2014*

**MATH ASAP!!**

1/(1-√7+√5) multiply top and bottom by 1-√7-√5 (1-√7-√5)/((1-√7)^2 - 5) = (1-√7-√5)/(1-2√7+7-5) = (1-√7-√5)/(3-2√7) now multiply by 3+2√7 (1-√7-√5)(3+2√7)/(9-28) (1-√7...
*September 23, 2014*

**Math**

since sine = y/r, and r is always positive, sine is positive where y is positive.
*September 23, 2014*

**algebra**

recall the point-slope form for a line. #1 the slope is 3, so y-3 = 3(x-4) Similarly for #2, except the slope is 1/3. (why?)
*September 23, 2014*

**Vector**

measuring from P, (s-p)+(r-s) = (q-p)+(r-q) = r-p = (2,6,2)-(1,2,-1) = (1,4,3) the area is |(s-p)x(q-p)| = |(0,2,4)x(4,-3,5)| = |22,16,-8| = √804
*September 23, 2014*

**Vector**

The angle between a and b is α = θ-Ø a•b = |a| |b| cosα a•b = (xa*xb)+(ya*yb) xa = |a| cosθ ya = |a| sinθ ... Carry on, and you will see the result fall right out.
*September 23, 2014*

**Math Help**

How about you tell us what you think are the correct answers? Even better, show how you got them. Then we can help you fix the mistakes, if any. For #7, recall that |x| is always positive. So, |-27| = 27 Thus, -|-27| = -(27) = -27
*September 23, 2014*

**Precalculus**

tan .836 = 1.1071 tanθ > 0 in QI, QIII So, θ = 1.1071 or 1.1071+π sin 1.080 = 0.8818 sinθ < 0 in QIII and QIV So, θ = π+0.8818 or 2π-0.8818
*September 23, 2014*

**Algebra**

175 = 5*5*7 so, you can use 35 5" tiles or 25 7" tiles, if you don't want to cut any tiles. Not counting grout!
*September 23, 2014*

**Fractions**

trim+style needs 1/4 + 1/6 = 5/12 hour each day she can do (10/3) / (5/12) = 8 appointments. So, that makes 40 appointments during the week.
*September 23, 2014*

**algebra**

If you mean what is the solution to the system of equations, just start working things through. I find it easy to get rid of the fractions first: 1/2 x - 2/3 y = 4 2x + 1/3 y = 7 multiply to get 3x - 4y = 24 6x + y = 21 Now get rid of one of the variables, say y. 3x - 4y = 24 ...
*September 23, 2014*

**algebra**

consistent
*September 23, 2014*

**Fractions**

(5 1/2) / (3/4) = 11/2 * 4/3 = 22/3 = 7 1/3 So, she has enough for 7 servings, with 1/3 serving left over. For 10 people, she needs to have only 11/2 * 1/10 = 11/20 cup per serving 10 servings of 3/4 cup each is 30/4 = 7 1/2 cups
*September 23, 2014*

**math**

If the numbers are relatively prime, then x(x-7) = 60 x^2 - 7x - 60 = 0 (x-12)(x+5) = 0 So, the numbers are 12 and 5
*September 23, 2014*

**Math**

To use the quadratic formula, you need to arrange things so that you have y = ax^2 + bx + c So, (x - 10 )(x + 9 ) = 2 x^2-x-90 = 2 x^2 - x - 92 = 0 Now just apply the formula.
*September 23, 2014*

**math**

(-a,b)
*September 23, 2014*

**Math**

x^2 + 4 x = 4 x^2 + 4x - 4 = 0 Now just apply the formula.
*September 23, 2014*

**Maths**

The cylinder has radius r The cone has radius 2r So, the ratio of volumes is (πr^2h)/(π(2r)^2h/3) = (πr^2h)/(4πr^2h/3) = 3/4
*September 23, 2014*

**College Pre-Calculus**

m(f) = f/5280
*September 23, 2014*

**Math**

27/3 + 5*2 = 19
*September 22, 2014*

**math**

1kg/(4.8g/cm^3) = 208.333 cm^3 So, now you know that 4π/3 r^3 = 208.333
*September 22, 2014*

**math**

There is no GCM. There is no greatest number which is a common multiple.
*September 22, 2014*

**Algebra1**

either or both
*September 22, 2014*

**physics**

F = ma -1.50*10^4 = (1.96*10^4/9.81)(a)
*September 22, 2014*

**math**

same as what?
*September 22, 2014*

**Math**

77 = 11*7, so (6+5)*(9-2)
*September 22, 2014*

**algebra**

Just work it step by step: 105/(-20+15) ------------------- 45/(-9)+12 105/(-5) ------------ -5+12 -21 --------- 7 -3
*September 22, 2014*

**Math**

r(x) = (600-4x)(250+4x) Now plug and chug.
*September 22, 2014*

**Algebra**

If x lbs at $7, then 7x + 5(50-x) = 5.79(50)
*September 22, 2014*

**math**

what difference does it make how far the sun is from earth? Unless the distance to Mars is measured in a.u.
*September 22, 2014*

**Advance Algebra**

v(x) = x(12-2x)(10-2x) Since the sides must have positive length, we need 10-2x > 0, or x<5 Since the cuts must also have nonzero length, x>0, so the domain is 0 < x < 5
*September 22, 2014*

**math**

After t minutes, the positions are (if P=(0,0)) turtle: (0,4t) snail: (50,-2t) So, the distance d can be found from d^2 = 50^2 + (6t)^2
*September 22, 2014*

**Algebra 2**

just expand as you normally would a polynomial, and you get 30i^3 + 125i^2 + 120i But, once you recall that i^2 = -1 i^3 = -i, you have -125 + 90i
*September 22, 2014*

**Geometry**

Hard to parse the garbled sentence, but if the hill slopes at a 30 degree angle, then the tree makes angles of 60 and 120 with the hill. To explain, just draw a diagram and label all the angles.
*September 22, 2014*

**algebra 2**

First, that's equal to, NOT too! It's a lot easier just to write x >= 2. With that said, let's proceed. #1: ok #2: ok #3: Hmmm. This one is no harder than the first two, just a bit longer. 4(1-3n)-14>4(2n+3)-9n 4-12n-14 > 8n+12-9n -12n-10 > -n+12 -11n &...
*September 22, 2014*

**trigonometry**

A wheel with a 15-inch diameter is turning at the rate of 60 revolutions per minute. To the nearest inch per minute, what is the linear speed of a point on the rim?
*September 22, 2014*

**Maths**

start factoring: 2*2198 4*1099 4*7*157 = 28*157 What's with "using the numbers 1-9"? Seems like a stupid condition.
*September 22, 2014*

**Math**

(b) no angles provided
*September 22, 2014*

**algebra**

clearly, when 50.00 + 3.50x = 75.00 + 2.25x Now just solve for x.
*September 22, 2014*

**algebra**

5n+10d+25q = 325 n = d+2 q = n+1 Now just start substituting in to solve for the variables.
*September 22, 2014*

**Math**

What's the trouble? Just start writing the words as equations. We are told: a+b+c = 18 a = 2(c-b) (because c > b) b = (a+c)/2 Now just go through the usual procedures to solve several equations.
*September 22, 2014*

**Math**

correction on #1. What I gave was the solution for a particular radius. Since we have to consider all possible such circles, the locus is the perpendicular bisector of the line joining centers of the circles. All points on that line are equidistant from the two centers.
*September 22, 2014*

**Math**

since |z-c|=r is a circle of radius r, |z+1| = |z+i| is the intersection of two circles. If z = x+yi, Re z = x |z-1|^2 = (x-1)^2 + y^2 So, you need x^2 = (x-1)^2
*September 22, 2014*

**math**

If there are x,y,z of each cost, we have x+y+z = 20 4.00x + 0.25y + 0.50z = 20.00 Since we have only two equations, there are multiple solutions. Let's work with knowing x. Then we have y = 14x-40 z = 60-15x Since y and z must be positive, we need x >= 3 and x < 4. ...
*September 22, 2014*

**math**

(150*15)/500 = 4.5 so, now you can figure it out, right?
*September 22, 2014*

**Math Help Please**

just solve 16t^2 = 1614
*September 22, 2014*

**Math**

how are the 6 fields to be arranged? 2x3: 9x+8y = 1200 a = 6xy = 6x(1200-9x)/8 max area at x = 200/3 1x6: 12x+7y = 1200 a = 6xy = 6x(1200-12x)/7 max area at x = 50 Note that the fencing is divided equally among lengths and widths.
*September 22, 2014*

**math**

Ben takes time t = (d/2)/r + (d/2)/w = d/(2(r+w)) Bob covers distance w(t/2) + r(t/2) = d so Bob's time is 2d/(r+w) So, which time is less?
*September 22, 2014*

**Algebra**

9-c < 2 c > 7 -3c > 15 c < -5 so, c < -5 or c > 7 See http://www.wolframalpha.com/input/?i=solve+9+-+c+%3C2+or+-3c+%3E+15+
*September 22, 2014*

**Precal**

sec θ = r/x = √218/-7
*September 22, 2014*

**Math**

3^2-12/(6-3)*8 9-12/3*8 9-4*8 9-32 -23
*September 21, 2014*

**Math - Madison the Mooch**

The equation describes an ellipse. There is no inverse, because each value of x corresponds to 2 values of y (the vertical line test). There is no such thing as an inverse equation. If you want to find x as a function of y, then 2x^2 = 4 - 3y^2 x^2 = (4-3y^2)/2 Now, there is a...
*September 21, 2014*

**Math**

False even without doing the math, the left side is odd and the right side is even.
*September 21, 2014*

**AP Calc. AB**

correct.
*September 21, 2014*

**algebra**

(2,10,5)
*September 21, 2014*

**Math**

(6-6)/(6x6+6)=0
*September 21, 2014*

**Algebra**

as usual, first just clear fractions: (n+9)(7) = 6(d+9) (n-7)(3) = 2(d-7) 7n+63 = 6d+54 3n-21 = 2d-14 7n-6d = -9 3n-2d = 7 Now can you solve for n and d?
*September 21, 2014*

**Algebra**

Just put the words into symbols. If the original fraction is n/d, then (n+9)/(d+9) = 6/7 (n-7)/(d-7) = 2/3 Now just solve for n and d.
*September 21, 2014*

**math**

If the base of the rectangle has length 2x, and height y, the area is a = 2xy = 2x√(1-x^2/16)(4) = 2x√(16-x^2) da/dx = 4(8-x^2)/√(16-x^2) so, max area occurs at x=√8, and the rectangle is 2√8 by √2
*September 21, 2014*

**AP Calc. AB**

Clearly A is not continuous at x = -1, since the denominator is zero. The domain of √u is u >= 0. So, we need x+6 >= 0 The domain of sin x is all reals, so it doesn't affect the result. we know that lim sin(x)/x = 1, so sin(2x)/(2x) is 1. So, lim sin(2x)/x = 2...
*September 21, 2014*

**Algebra**

The only question I see is whether x^3-2x^2-1+2 = 0 For some values of x, it is. I suspect a typo, since you have no x term, and two constant terms. Why not fix the typo and then ask your real question?
*September 21, 2014*

**Math.**

x - 8.77 = 23.40
*September 21, 2014*

**math**

2.3x = 48.00
*September 21, 2014*

**Math**

20*27 = ?
*September 21, 2014*

**Math**

100/200 = x/53.40
*September 21, 2014*

**Math**

what is the difference between 10 and 6? It is 10-6, or 4. So, the difference here is just x = 39.50 - 23.50
*September 21, 2014*

**math**

clearly (0,5) is is a set of x values, since x is in that interval. I'm sure it is just to restrict us to a single period of 2π. 1+x <= f(x) <= 3+sin πx as x->2, 1+2 <= f(x) <= 3
*September 21, 2014*

**math**

#1: c = 9.95 + .10m #2: c = 12.95 + .08m
*September 21, 2014*

**maths**

In triangles adb and adc, angle adb = angle adc bd = dc ad = ad So, the triangles are congruent, meaning ab = ac so abc is isosceles.
*September 21, 2014*

**Algebra**

correct
*September 21, 2014*

**math**

If the digits are a and b then 10a+b = 8(a+b) 10a+b - 45 = 10b + a The number is 72
*September 21, 2014*

**Algebra 2 (Please, help me!)**

well, it just means that all points have become 1/3 as far away from the origin as they were. Just divide all the coordinates by 3: (9,-6) -> (3,-2) and so on
*September 21, 2014*

**math**

the area grows as the square of the length ratio. So, the sides are in the ratio √9:√4 = 3:2. So also are the perimeters.
*September 21, 2014*

**trigonometry**

as usual, draw a diagram, and review your basic trig function definitions: tan θ = 5100/12000 So, θ = arctan(51/120)
*September 21, 2014*

**Physics help ASAP**

Suppose you are visiting a planet in a distant part of the galaxy.To determine the acceleration due to gravity on this planet, you drop a rock from a height of 55 m. The rock strikes the ground 1.9 s later.How many times greater is the acceleration due to gravity on this ...
*September 20, 2014*

**Physics**

A baseball is thrown upward with an initial speed of 35 m/s. What is the speed at t = 2 s?
*September 20, 2014*

**physicas**

A baseball is thrown upward with an initial speed of 35 m/s. What is the speed at t = 2 s?
*September 20, 2014*

**Physics**

A basketball is shot from an initial height of 2.4 m with an initial speed (v0 = 12 m/s) directed at an angle (35 degrees) above the horizontal. Additional information: Height of the basket is 3.05 m Find how far away the player is standing.
*September 20, 2014*

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