# Posts by STEVE

Total # Posts: 54,303

Geometry
RS is half as long as HI ...

Geometry
If RS is a midsegment, then it is half as long as the parallel side. So, 2(2x+6) = 5x+9 Solve for x, and then you can figure the lengths.

trigonometric identities
use your sum/formulas. For example, sin(pi/2+x) = cosx cos(pi-x) = -cosx and so on. Then the products will be much easier to manipulate.

Math
simplified, it is in the form you started out with: 2x+3 + 11/(x-3) That's about as standard as it gets -- a polynomial and a remainder in simplest form.

basic chem HELP
yes -- so the FeCl3 is dropped into the NaOH solution, and it all reacts, right? Am I missing something here?

basic chem HELP
1.2L of .85M NaOH contains 1.02 moles NaOH FeCl3 + 3NaOH = Fe(OH)3 + 3NaCl But, you only have .25 moles of FeCl, so there is an excess of NaOH, since only 3*.25=.75 moles are needed. That means you will only get .25 moles of Fe(OH)3. Convert that to grams. Not sure on the ...

math
315 = 3^2 * 5 * 7 455 = 5 * 7 * 13 875 = 5^3 * 7 So, any number divisible by all three of these values must contain all of the factors in any of them. That means that LCM(315,455,875) = 3^2 * 5^3 * 7 * 13 = 102375

Java -- You're kidding, right?
You expect someone to write such a project for you? Just take it step by step. As you know the Java documentation is very through, and there are surely code snippets online for any of the steps where you feel unsure.

math
h^2 + 50^2 = 56^2

math
the fence must be divided equally among the two lengths and three widths. So, 540/2 = 270, so the playground is largest if it is 135x90 You can verify this by finding the vertex of the parabola y = x(540-2x)/3

math
what equation? Is J Julia's score, or Juan's, or Juana's? in any case, use the equation; you apparently neglected to include it here.

Math
You know how many of each, and the total cost, so 40c + 20*3c = 2400 Now find c, the cost of a chair, and 3c, the cost of a desk.

Calculus @Damon

Calculus
v(t) = ?a(t) dt = ?(2t+2) dt = t^2+2t+C v(0) = -3, so C = -3 v(t) = t^2+2t-3 s(t) = ?[0,5] v(t) dt = ...

math
P(?BCE) = 9+12+17 = 38 P(?ADF) = 15/12 P(?BCE)

Pre-Algebra
40% off means you pay 60% .60x = 56.78 ...

linear algebra
x0 = 1 x1 = 4 x2 = -6*4 - 8*1 = -32 x3 = -6(-32)-8*4 = 160 x4 = -6(160)-8(-32) = -704 x5 = -6(-704)-8(160) = 2944 Read about characteristic functions for recursive sequences. For example, at www.csee.umbc.edu/~stephens/203/PDF/8-3.pdf It shows that the characteristic equation ...

math
well, I have no idea whether the two lines are parallel. Are these sides of a trapezoid, or what? If P,Q,R,S,T are points on a single line, the question makes no sense.

Algebra
assuming annual compounding, you want t such that 1.047^t = 2

maths

Nope. B just undoes itself. Look carefully at the numbers and check the others.

Caluclus
The distance from (-2,-6) to the line 7x+y-5=0 is |7(-2)+1(-6)-5|/?(7^2+1^2) = 25/?50 = 5/?2 so, we need to find (x,y) on the line such that (x+6)^2 + (y+2)^2 = 25/2 (x+6)^2 + (11-7x)^2 = 25/2 x = 3/2 so, y=5-7x = -11/2 So, (3/2,-11/2) is the closest point to (-2,-6) check: ...

math

math
Just follow the steps you usually use: y = 9x+2 y-2 = 9x (y-2)/9 = x df = g-10 d = (g-10)/f

math
Just multiply by 1 till you get the units you desire. R460/m * \$1/R57.3 * 1m/1.09yd = \$7.37/yd

Math
all ok good work

math
huh? That's the definition of a linear pair.

Maths
2 = .05x x = 40

Geometry
if the angle is x, then 5.8/12 = cos x so, x = 61.1°

Math
12 / (5/3) = 36/5 = 7 1/5

Math
for the zeros of (2^x-1)(-3^x+1) set each factor to zero, as usual 2^x-1 = 0 2^x = 1 x = 0 same for -3^x+1 = 0 3^x = 1 x=0 Not sure in what universe you got your solution ... log(27)(log(x)10) = 1/3 Not sure what log(x)10 means, unless maybe it's log_x(10). If so, recall ...

Precal
or, after some manipulation, 1/(1+log5?7) is that simpler? who can say?

English
thank you

English
Which of these lines from The Canterbury Tales’ “Prologue” best exemplifies a Franklin? “He was a model among landed gentry.” “As Sheriff he checked audit, every entry.” “There was no such conveyancer as he…” “He lived for...

English
That would be B

English
Which of these excerpts from Beowulf best describes what Beowulf expects the outcome of his battle with the dragon to be? A. thought nothing/ of the bests claws, or wings, or flaming/ Jaws B. soon/ Would leave this brief life, but would take the dragon/WIth him C. he had ...

English
Which of these excerpts from Beowulf best describes Beowulf reason for attacking grendels mother? A- "whispered together/ and said that hope was gone, that the hero/had lost" B- and holy/god, who sent him victory, gave judgment/for truth and right" C "so ...

MATH HELP ME PLZZ
suppose I told you that half of 10 books are fiction. How would you figure that out? You multiply 1/2 * 10 = 5 So, the same thing here. "of" usually means you multiply. Two-thirds of 2469 is 2/3 * 2469 = 1646

math
Ouch. Ms Sue's answer revealed my typo: 20.5 x 20.5

math
A) a square: 21.5 x 21.5 B) clearly not, since the square is not a multiple of 2 on a side. Also, 41 cannot be divided evenly by 4.

Algebra
#3: x = 1/4

Math
s = r? so, what's ?? 1/2 r^2 ? = 5?

Math
one way is to remember to change direction when multiplying/dividing by negative values. So, -8x > -64 x < 8 This is just a shortcut to doing the addition/subtraction to swap sides: -8x > -64 add 8x: 0 > 8x-64 add 64: 64 > 8x 8 > x no change of direction ...

Algebra
No, for logs, you have Domain: (0,?) Range: (-?,?) x-intercept: 1 Take a look at the graphs, fer pete's sake!

Algebra
the domain of all exponentials is (-?,?) and the range is (0,?) For logs, they are reversed, since it is the inverse function. exponentials all pass through (0,1) logs all pass through (1,0) your asymptotes are also correct.

Science
ever hear of google? Lots of hits. Maybe it's easier just to buy roofies...

Mathss
we have two data points: (2,28) and (5,7) so, the slope of the line is (7-28)/(5-2) = -7 Using the point-slope form of a line, the function is y-28 = -7(x-2) or y = 42-7x

math
note that it is just a scaled-up 3-4-5 triangle You can check for a right angle using 30^2 = 18^2 + 24^2 if c^2 = a^2+b^2 it is a right angle if c^2 < a^2+b^2, it is acute, otherwise obtuse

Algebra 1b HELP

Algebra 1b HELP
well, just plug in -1 for each x: y = 2(-1)^2 + 9(-1) + 1 = 2-9+1 = -7 (-1)^2 = (-1)(-1) = +1

math
If the four triangles are congruent, the kite must be square. So, all the triangles have angles of 45,45,90 degrees.

math
as 1 is added to x, 5 is subtracted from y so, try y = -5x But y(0) = -1, so y = -5x-1

math
there must be a constant ratio. So, check each pair of terms to be sure it stays constant x 2 4 5 6 y 6 12 18 21 6/2 = 3 12/4 = 3 18/5 = 3.6 21/6 = 3.5 So, that's not a proportional relationship Check the other tables.

Math
Let the sides be of length 2x and 3x. Then you have 2(2x+3x) = 450 x = 45 Now you know the length and width, so finding the area is a snap.

Math
correct

Math
Nope. Try again.

Maths
(m-5) = 3(b-5) (m+10) = 6+2(b+10) Now just solve for their ages.

math
you can just divide each term of the numerator by the monomial.

Math!
(x,y) -> (x,-y) -> (-x,-y) vs (x,y) -> (-x,y) -> (-x,-y)

Math (Connexus 6th)Unit 6
9+x = 12 x = 12-9 same thing, different numbers.

Math (Connexus 6th)Unit 6
what is the increase going from 9 to 12? use the same logic here.

Math(Connexus 6th)Unit 6
right on

Math(Connexus 6th)Unit 6
what does "times" mean? Multiply, right?

Math(Connexus 6th)Unit 6
All I did was show you how to take a breath and look at what they are really asking. You know it will be something that you know how to do, so the trick is to make the problem something that's familiar, by cutting through the noise to the real issue.

Math(Connexus 6th)Unit 6
correct

Math(Connexus 6th)Unit 6
read it as 10 times (the product of g and h) I assume you know what "product" means ...

Math
12 = 6*2 so, he will need to spend 6*20

Math
Looking at the diagram, and reviewing the basic trig functions, you can see that if the height is h, h cot12°20' - h cot22°14' = 125 now just solve for h.

math
y(x) = a + b/x a + b/40 = 30 40a+b = 1200 You need another equation to pin down a and b. For example, you might have a=20 and b=400 In that case, y(x) = 20 + 400/x y(50) = 20+400/50 = 28 Or, you might have a=10 and b=800 Then y(x) = 10 + 800/x y(50) = 10+800/50 = 26

Math
24 1/10 - 5 9/11 23 11/10 - 5 9/11 (23-5)+(11/10-9/11) 18+(121/110 - 90/110) 18 31/110

Math
correct

Geometry
Since 16 feet of fencing is not used, it is the same as if a complete rectangle of perimeter 296 were being built. The maximum area will be for a square of side 296/4 = 74 feet. To work it out, let x be the side with the barn in it. Then we have 2x-16+2y=280 x+y=148 the area ...

Math
C=180-120=60 so, since B=A, A+A=60 = 180 ...

Math
short = 5/9 * long so, long/short = 9/5 9/5 short = short + 148.6 4/5 short = 148.6 find short, and then total = short + 9/5 short

Algebra 1
#1 doubles each time #2 subtracts 5 each time see what you can do with that

Maths
The altitude of an equilateral triangle is also a median. The medians intersect 2/3 of the way from the vertex to the opposite side. So, BO=4, and BD=6 BE is the diameter of the circle, so BE=8 so, what do you think?

Algebra
how about you provide some thoughts on these? This one is especially easy -- just plug in the values of n, from 1 to 5.

Math
5 added to the difference between 17 and 8.

Calculus
You have two points on the graph: (10,49) and (8,51) price went down 2 attendance went up 2 So, the slope is -1, making the demand function p-49 = -1(x-10) or p(x) = 59-x where x is measured in thousands

math
pretty poor participation, eh?

Economics
To what category do a person's earnings, the dollar value of a good or service, the value of a property and the value of a company's profits belong too? My answer is tax base

Economics
You are absolutely correct -- thank you

Economics
How can competition in a scarce labor market affect wages? Wages will go down because productivity is lower. Wages will remain level because firms want to keep existing workers. Wages will go up to attract workers to a firm and to keep existing workers. Wages will go down to ...

Physics
so, show us your numbers, and maybe we can tell what went wrong.

math
10-2[10-3(2+1)] = 10-2[10-3(3)] = 10-2[10-9] = 10-2[1] = 10-2 = 8 For the denominator, I'm not sure what you mean (12/3)(2) = 4*2 = 8 12/(3*2) = 12/6 = 2 In any case, just divide the top by the bottom.

Algebra HW HELP PLZ
the slopes are different, so the lines are not parallel. Their product is -1, so the lines are perpendicular.

algebra 1
... y-6 = -12x - 48 y = -12x -48+6 y = -12x - 42

maths
1 liter of punch is 1/5 juice, 4/5 lemonade so, the cost is 1/5 * 6.00 + 4/5 * 0.50 = 1.20+0.40 = 1.60 the profit per liter is 2.00-1.60 = 0.40 0.40/1.60 = 0.25 = 25% profit (based on cost)

Algebra
I see no variables. 16 1/4 is about as simple as it gets, unless you just want a fraction or decimal: 65/4 or 16.25 I suspect you left something out...

maths
as always, remember that multiplication adds exponents division subtracts exponents 6¹? ÷ 6² = 6¹ ÷ 6² = 6^(1-2) = 6^(-1) But you might have meant 6^10 ÷ 6^2 = 6^(10-2) = 6^8 similarly, 5x³y² * 3x?y³ = (5*3) x^(3+4) y^(2+...

Pre-cal
You made a typo. Assuming that gravity pulls downward, it should be s(t)= -1/2 gt^2 + vt + h (d) is poorly worded. The equation relates the motion to acceleration by gravity. It combines the initial conditions (v and h) with the influence of gravity.

No, produce 5 terms for each sequence. You have only produced the 2nd term of each sequence. For (a) you should have T1 = 0 T2 = 0+5 = 5 T3 = 5+5 = 10 T4 = 10+5 = 15 T5 = 15+5 = 20 Now treat (b) and (c) similarly, using their own rules.

surely you can follow instructions. For example, on (d) start with 1 now for each term, do what it says T1 = 1 T2 = 3*1-1 = 2 T3 = 3*2-1 = 5 T4 = 3*5-1 = 14 T5 = 3*14-1 = 41 Now try the others, and if you get stuck, show where the trouble is.

math
You'll get a better solution if you start off with the right algebra. You should have 6/R1 + 6/(7000-R1) = .0042 6(7000-R1)+6R1 = .0042*R1(7000-R1) 42000 - 6R1 + 6R1 = 0.0042*7000*R1 - 0.0042*R1^2 .0042 R1^2 - 29.4 R1 + 42000 = 0 R1^2 - 7000 R1 + 10,000,000 That should ...

math
If the last step was a-b+c = 2c then the next step is (a+b)-a+b = 2b

math
which net?

Algerbra
correct although the way you wrote it could easily be seen as 1/2 + 5/(2i), especially since that is the way you meant it in your original expression. Since you know what you meant, and you're probably submitting it in writing, it will probably come out ok, but online you ...

Algebra
Just multiply top and bottom by i. What do you get, since i^2 = -1 ?

physics
we know that 6/R2 = .002, so R2 = 3K? R1+R2+R3 = 6/.0006 = 10K? So, now we have R1+R3 = 10K-3K = 7K? 6/R1 + 6/R3 = .0062-.002 = .0042 Now just solve for R1 and R3, remembering that R1 < R3