Sunday

December 21, 2014

December 21, 2014

Total # Posts: 28,261

**Math**

radius of larger circle --- r radius of smaller circle --- r-1 circumf of large ---- 2πr circumf of smaller = 2π(r-10 but 2πr = 4(2π(r-1)) 2πr = 8πr - 8π divide each term by π and rearrange equation -6r = -8 r = 8/6 = 4/3 larger has ...
*August 19, 2014*

**Math**

original radius --- r new radius ------ r+1 original area = πr^2 new area = π(r+1)^2 π(r+1)^2 - πr^2 = 16π divide by π and expand ... r^2 + 2r + 1 - r^2 = 16 2r = 15 r = 7/5 units check: old area = π(7.5)^2 = 56.25π new area = π(8.5...
*August 19, 2014*

**math**

None of your "following points" are showing up Point with integer values on the circle are (5,0), (-5,0), (0, 5) , (0, -5) (3,4) ,(-3,4) , (3, -4), and (-3,-4) Jodie's point of (0,-4) does not lie on the circle the equation would be x^2 + y^2 = 25 so sub in your ...
*August 19, 2014*

**math**

x^2-3x-8=0 x^2 - 3x = 8 x^2 - 3x + 9/4 = 8 + 9/4 (x - 3/2)^2 = 41/4 x - 3/2 = ±√41/2 x = 3/2 ± √41/2 = (3 ±√41)/2 to find the term to be added to each side, take 1/2 the coefficient of the x term , then square it that is, 1/2 of 3 is 3/2...
*August 19, 2014*

**Volume**

Let the volume be V at a rate of 125 L/h, time would be V/125 hrs at a rate of 150 L/h, time would be V/150 hrs V/125 - V/150 = 1 1/3 = 4/3 times 750 6V - 5V = 1000 V = 1000
*August 19, 2014*

**Year 11 Maths**

midpoint M is ( (-1+6)/2 , (-2+2)/2 ) = ( 5/2 , 0) midpoint N is ( (-1+4)/2 , (-2+6)/2 ) = ( 3/2 , 2) slope BC = (6-2)/(4-6) = 4/-2 = -2 slope of MN - (0-2)/(5/2 - 3/2) = -2 So BC is || to MN length of BC = √( (6-2)^2 + (4-6)^2) = √(16+4) = √20 = 2√5 ...
*August 19, 2014*

**MAth**

Yessss!!! Looks like you got it
*August 18, 2014*

**small typo - MAth**

the second line of the solution should say : = 30/10 + |5|/5x8 has no effect on the rest
*August 18, 2014*

**MAth**

as it applies to your previous problem |30|/|10| + |-2+7|/5 x 8 = 30/10 3 + |5|/5x8 = 3 + 5/5*8 = 3 + 1*8 = 3+8 = 11
*August 18, 2014*

**MAth**

Do all calculations inside the bars following the usual rules of arithmetic. If your answer is positive, make that your answer. If your answer is negative, ignore the negative sign, and state the positive result. That is | anything in here | will always produce a positive (or ...
*August 18, 2014*

**MAth**

no, |30|/|10| + |-2+7|/5 x 8 = 3 + 5/5*8 = 3 + 1*8 = 3+8 = 11 How did you get 17.4 ???
*August 18, 2014*

**statistics**

Perfectly suited for David Lane's great stats calculator Just enter the values from your problem http://davidmlane.com/hyperstat/z_table.html I get 84.15% If you must use your tables, z-score for 10 = (10-7)/1.7 = 1.7647 z-score for 5 = (5-7)/1.7 = -1.17647 look up ...
*August 18, 2014*

**maths**

gold coins --- x silver coins -- (1/3)x x + (1/3)x = 88 times 3 3x + x = 264 x = 66 there are 66 gold coins and (1/3)(66) or 22 silver coins
*August 18, 2014*

**math**

Let's just use an intuitive approach. We know that if x -->0 , 1/x becomes infinitely large. But cos(anything) is always a number between -1 and +1, no matter how large 1/x becomes So we are then multiplying this by "almost zero" , so the answer will be zero.
*August 17, 2014*

**math**

depends what your expression is supposed to represent Suppose you want to know the depth after t minutes rate = 150/30 ft/min or 5 ft/min so depth = 210 + 5t Your answer is perfectly correct, since it also shows the position relative to the ocean floor, mine shows the ...
*August 17, 2014*

**math**

breath --- x length --- (5/3)x 2x + 2(5/3)x = 64 times 3 6x + 10x = 192 x = 12 area = x(5/3)x = (5/3)(144) = 240 cm^2
*August 17, 2014*

**math**

Being familiar with this type of optimization problem, I was expecting to be given the rate at which he can run or walk along the beach. If the rate along the beach is faster than his swimming rate, then the hypotenuse that Henry found will not give him the minimum time. he ...
*August 17, 2014*

**math**

SIN(90*-0)COT(90*-0)/SIN0+COS(90-0)=1/2 What is that supposed to be ? The first thing I noticed is that you are dividing by sin0, which is division by zero! That makes everything else I see useless. Is 0 supposed to stand for Ø ??? If so, then the following properties ...
*August 17, 2014*

**Math**

width --- x length -- 3x + 6 x(3x+6) = 57 3x^2 + 6x - 57 = 0 x^2 + 2x - 19 = 0 I am going to complete the square, easier in this case than the formula x^2 + 2x + 1 = 19+1 (x+1)^2 = 20 x+1 = ± √20 x = -1 ± √20 = appr 3.472 or a negative width = 3.472...
*August 17, 2014*

**Maths**

let O be over average, A be average, and B be below average, F for fail and P for pass prob(O) = 15/75 = 1/5 prob(A) = 45/75 = 3/5 prob(B) = 15/45 = 1/5 prob(P) = x prob(F) = 1-x , not really needed so we have AF = .05 AP = (3/5)x OF = .005 OP = (1/5)x BF = .15 BP = (1/5)x .05...
*August 17, 2014*

**Maths**

What makes this question messy is the fact that the bags contain different number of balls, so we have to take all cases BagA: WW - 2/6 * 1/5 = 2/30 = 1/15 WB - 2/6 * 1/5 * 2 = 4/30 = 2/15 , times 2 since it could be BW WR - 2/6 * 3/5 * 2 = 12/30 =6/15 BR - 1/6 * 3/5 * 2 = 6/...
*August 17, 2014*

**Math**

Poor wording Is the payment made monthly? Was the first payment made one month after the loan was taken out? Is the interest compounded monthly? I will assume those three important facts i = .07/12 = .00583333... amount owing after 19 months = 26400(1.0058333)^19 - 300( 1....
*August 16, 2014*

**contemporary math**

Just good ol' Pythagoras here ... x^2 + (x-2)^2 = 10^2 x^2 + x^2 - 4x + 4 - 100 = 0 2x^2 - 4x - 96 = 0 x^2 - 2x - 48 = 0 (x - 8)(x + 6) = 0 x = 8 or x = -6, but we can't have a negative side so the triangle is 8 by 6 by 10 (which you might recognize as double the well-...
*August 16, 2014*

**Math**

Mark --- x Cindy --- 2x+4 Juan --- (1/2)(2x+4 = x+2 comparing x with (x+2) ..... so Juan is 2 years older than Mark this will be true for any age of Mark you pick: e.g. let Juan's age be 10 then Cindy is 24 and Mark will be 12, which is 2 years more than Juan
*August 16, 2014*

**math**

width-- x length -- x+7 2x + 2(x+7) = 74 solve for x to width the width and length Area = width x length
*August 16, 2014*

**Pure Maths**

make a sketch to see that by ratios, r = h/2 , like bobpursely noted The sneaky part of the question is that when the cone is 1/8 full , the water is NOT 1/8 of the way up Full volume = (1/3) π (1^2)(2) = 2π/3 m^3 we want r and h when volume = (1/8)(2π/3) or &#...
*August 16, 2014*

**Algebra**

1. -6.8^2 , the way you typed it is -46.24 If you meant (-6.8)^2 , the you get 46.24 2. ok , if your answer is -14 3 ok 4. -7/3 is reduced to lowest terms or as a mixed fraction = -2 1/3
*August 15, 2014*

**math**

Either two blues or two greens prob of 2 blues = (4/6)(3/5) = 2/5 prob of 2 grees = (2/6)(1/5) = 1/15 , this is where PsyDAG slipped up so prob of 2 of same colour = 2/5 + 1/15 = 7/15
*August 15, 2014*

**math**

side of square = 2 so perimeter of square = 4s circumference of circle with radius r is 2πr so ... 2πr = 4s πr = 2s r/s = 2/π
*August 15, 2014*

**math**

n rotations = f/π ft 1 rotation = fπ/n ft 2πr = fπ/n r = f/(2n) ft diameter = 2r = f/n ft
*August 15, 2014*

**math**

I usually start with the smallest quantity, which here is Carl's age let Carl's age be x then Bill is 2x and Al is 4x in 10 years: Carl --- x+10 Bill --- 2x+10 Al ---- 4x + 10 so 4x+10 = 2(x+10) 4x + 10 = 2x + 20 2x = 10 x = 5 So now Al is 4(5) = 20 check: present ages...
*August 15, 2014*

**Maths Help!!**

06 kg of red + 250 g of blue = 1100 g of mixed sand 1/2 of that is 550g she adds 500 g of white to that, so total stuff with white sand in it is 1050 g or 1.05 kg
*August 15, 2014*

**hard to read - algebra**

Kathy, I find it hard to figure out what your equation is (same for your previous post) Since you labeled it "radicand" , I expected some kind of square root or root we use the ^ symbol to show exponents, e.g. x^2 ---- x squared x^(1/2) = √x = square root of x ...
*August 13, 2014*

**Math**

You are welcome
*August 13, 2014*

**Math**

You are just finding the radius of circle with a circumference of 27 inches 2πr = 27 r = 27/(2π) = appr 4.30
*August 13, 2014*

**math**

so you want to set the area equal to the circumference .. πr^2 = 2πr r^2 - 2r = 0 r(r-2) = 0 r = 0 , the trivial case or r = 2 so the diameter is 4 inches
*August 13, 2014*

**math**

A = (5/4)B 4A = 5B B = (4/5)A B = 80% of A looks like B is 20% less than A
*August 13, 2014*

**Math**

You keep repeating the same question, which I answered for you, and which does not make sense.
*August 13, 2014*

**mathematics**

Artem! The bell will ring at 0:00 , 0:02 , 0:04 , 0:06 , 0:08, ... The bird will chirp at 0:00 , 0:03 : 0: 06 < 0:09 , ... Can you not see that your choices of answers make no sense ? I don't know of any way to make it more obvious.
*August 13, 2014*

**mathematics**

Something wrong with your problem As you stated it, they will occur together in 6 seconds
*August 13, 2014*

**fractions/math / Help!**

8 3/7-2 1/2 = 59/7 - 5/2 = 118/14 - 35/14 = 83/14 or 5 13/14 93 = 3x31 524 = 2x2x131 both 31 and 131 are primes
*August 12, 2014*

**Algebra**

let the smaller be x then the larger is 9-x " Four times the larger number plus three times the smaller number is 48" ---> 4(9-x) + 3x = 48 36 - 4x + 3x = 48 -x = 12 x = -12 The smaller is -12 and the 21 check: -12 + 21 = 9 , check! 4(21) + 3(-12) = 48 , check!
*August 12, 2014*

**Math**

-2/5+(-1/10) = -2/5 - 1/10 = -4/10 - 1/10 = -5/10 = -1/2
*August 12, 2014*

**algebra**

For a polygon of n sides, the sum of the interior angles = 180(n-2)°
*August 12, 2014*

**algebra**

probably: 1/3 + 5/(s-4) = 2 time 3(s-4) 1(s-4) + 5(3) = 2(3)(s-4) s-4 + 15 = 6s - 24 35 = 5s s = 7
*August 12, 2014*

**algebra**

I assume from your 2nd line that your 1st line should have been n/4=(n+1)/(3n) 3n^2 = 4n+4 3n^-4n-4=0 (3n + 2)(n - 2) = 0 n = -2/3 or x = 2
*August 12, 2014*

**algebra**

Is your first line, 20/(x^2 + 4x) = 3/(x+4) + 1/x ?? I will assume that, then 20/(x(x+4)) = 3(x+4) + 1/x your LCD is x(x+4) , so let's multiply each term by that ... 20 = 3x + x+4 16 = 4x x = 16/4 = 4 The rest of your post has no relation to your first equation. If it is a...
*August 12, 2014*

**Math**

So we need 2 widths and 1 length let the width be x and the length be y 2x + y = 2400 y = 2400-2x Area = A = xy = x(2400-2x) = 2400x - 2x^2 dA/dx = 2400 - 4x = 0 for a max of A 4x = 2400 x = 600 then y = 2400-1200 = 1200 field is 600 ft by 1200 ft
*August 12, 2014*

**math**

let the width of the base be x let the length of the base by y 2x + 2y = 50 x + y = 25 ---> y = 25-x volume = V = 5xy = 5x(25-x) = 125x - 5x^2 dV/dx = 125 - 10x = 0 for a max of V 10x = 125 x = 12.5 y = 12.5 the box is 12.5 by 12.5 by 5 cm
*August 12, 2014*

**math**

"..having all the digits odd except 9.." but 9 is odd Typo?
*August 12, 2014*

**maths**

number of selections without conditions = C(15,6) number of selections as stated = C(6,2) x C(9,3) Problem with your question ..... 2 men and 3 women adds up to only 5 people chosen, but you are choosing 6. Fix your problem and I will continue
*August 12, 2014*

**ramjas**

in the original number let the unit digit by x and the tens digit be y the number is 10y+x x+y = 13 then the number reversed is 10x + y 10x + y - (10y + x) = 27 9x - 9y = 27 x-y = 3 add the two equations: 2x = 16 x = 8 then y = 13-8 = 5 the number is 58 check: 85-58 = 27 , all...
*August 12, 2014*

**2nd: Algebra**

sale price = 40 - .25(40) = 30 or sale price = .75(40) = 30 (your statement of s = p - .25 makes no sense)
*August 12, 2014*

**Algebra**

1st question: not sure if you mean: 5^2 - 4/5 + 2 or (5^2 - 4)/5 + 2 or .... can you see why you might want to use brackets to establish the correct order of operation so, if 5^2 - 4/5 + 2 then 25 - 4/5 + 2 = 27-4/5 = 131/5 if (5^2 - 4)/5 + 2 then (25-4)/5 + 2 = 21/5 + 2 = 31/5
*August 12, 2014*

**mathhhhhhh!**

Since it asked for substitution, why not just sub the 2nd into the 1st 5x = 4x - 4 x = -4 now back into the 2nd: y = 5x= 5(-4) = -20 so the intersection point is (-4,-20)
*August 11, 2014*

**Algebra**

1. width --- w length -- w+14 w(w+14) = 1632 w^2 + 14w = 1632 w^2 + 14w + 49 = 1632 + 49 I completed the square (w+7)^2 = 1681 w+7 =±41 w = -7 ± 41 = 34 or a negative the width is 34 ft and the length is 48 ft or it factors to (x-34)(x+48) = 0 x = 34 or x = -48 2...
*August 11, 2014*

**math**

x^4 - 13x^2 + 36 = 0 (x^2 - 4)(x^2 - 9) = 0 (x - 2)(x + 2)(x - 3)(x + 3) = 0 so x = ±2, ±3 or x = -3, -2, 2 3
*August 11, 2014*

**math**

let the load be x N 10x = 5(200) + 2(300) 10x = 1600 x = 160 N
*August 11, 2014*

**Precalculus**

First of all I will assume that your equation is in polar form, so it should have been r = 4/(2 - cosØ) converting: r = 4/(2 - x/r) 2r - x = 4 2r = x+4 square both sides 4r^2 = x^2 + 8x + 16 4(x^2 + y^2) = x^2 + 8x + 16 3x^2 - 8x + 4y^2 = 16 3(x^2 - (8/3)x + 16/9) + 4y^...
*August 9, 2014*

**math**

so πr^2 = 2πr divide by π and bring the 2r over r^2 - 2r = 0 r(r - 2) r = 0 or r = 2 r = 0 would be no circle r = 2, then diameter is 4
*August 9, 2014*

**co-ordinate geometry**

slope between the points (2,4) and 2,-1) = (-1-4)/(3-2) =-5 / 1 so the other line must have slope 1/5 (3k-0)/(2-k) = 1/5 15k = 2-k 16k = 2 k = 1/8
*August 9, 2014*

**math**

2nd term is 81 ---- ar = 81 4th term is 9 ----- ar^3 = 9 divide second equation by the first r^2 = 9/81 = 1/9 r = ± 1/3 so ar = 81 a(1/3) = 81 a = 243 ii) you have a type, but now that you have a and r, whatever the question should be simple iii) sum of infinite =a/(1-r...
*August 9, 2014*

**math**

There is an infinite number of these, as long as they look like y = (-3/2)x + b , where b is any constant, it would be perpendicular to your given line notice I made my new slope the negative reciprocal of the given one. e.g. y = (-3/2)x + 56 would do
*August 8, 2014*

**Maths - Optimisation**

since we had y^2 subbing in 2x for y would give us (2x)^2 = (2x)(2x) = 4x^2 notice it was 4x^2 and not 4x like you stated
*August 8, 2014*

**Maths - Optimisation**

Let's put the rectangle on the x-y grid so that A is (0,0) and B is (3,6) the equation of the line from A to B is clearly y = 2x d = √(x^2 + y^2) = (x^2 + 4x^2)^(1/2) = √(5x^2) = (√5)x dd/dx = √5 So for each unit of x, the length changes by √5...
*August 8, 2014*

**Math**

-3x^2 – x = 10 3x^2 + x + 10=0 the discriminant is b^2 - 4ac = 1 - 4(3)(1) which is negative, so there are two complex solutions, and the statement is false 2. again it is false, it would be true if the right side = 0 and not 8 or take one the answers, x+5 = 8 x = 3 sub ...
*August 8, 2014*

**Algebra**

They double in number every 2 hours 8:00 -- 100 10:00 -- 200 12:00 -- 400 2:00pm -- 800 4:00 pm -- 1600 6:00pm -- 3200
*August 7, 2014*

**ogive-maths**

I did not know what ogives are, so I googled it. I can't see why you could not do likewise.
*August 7, 2014*

**geo**

slope of the line going through the first two points = (-7-9)/(-12-8) = -16/-20 = 4/5 so going through new point (-5,-15) with the same slope y+15 = (4/5)(x+5) do whatever you have to do further, but that is in point-slope form
*August 7, 2014*

**Maths**

5 kg cost 65 1 kg cost 13 500 g or 1/2 kg cost 6.50 ahh , the simplicity of metric!
*August 7, 2014*

**math**

Let P be the foot of the tower, and h be the height of the tower let AP = x , then BP = 80-x I see two right-angled triangles tan21 = h/x ---> h = xtan21 tan46 = h/(80-x) --> h = (80-x)tan46 xtan21 = (80-x)tan46 xtan21 = 80tan46 - xtan46 xtan21 + xtan46 = 80tan46 x(tan21...
*August 7, 2014*

**trigonometry**

1 km = appr 3280.84 feet 2 km/h = 2(3280.84/3600) ft/s = 1.82269 ft/s let r be the resultant velocity r^2 = 2^2 + 1.82269^2 r = √7.32219.. = appr 2.7 ft/s tanØ = 1.82269/2 , where Ø is in my right-angled triangle Ø = appr 42.34° his direction is ...
*August 7, 2014*

**Maths**

my little BASIC program gave the following: Chipmunk BASIC v3.6.5(b3) 4 possible cases: 135 175 518 598 testing for 518 518 ---> 5 + 1^2 + 8^3 = 5+1+512 = 518 YUP! I ran the following little program Chipmunk BASIC v3.6.5(b3) >10 for a = 1 to 9 >20 for b = 0 to 9 >...
*August 7, 2014*

**MATH**

The following site takes the place of tables in a textbook http://davidmlane.com/hyperstat/z_table.html click on: Value from an area enter: area 0.7 mean 2.9 sd .6 click on 'below' to get3.214
*August 7, 2014*

**math**

mmmmhhh ? Did you try plugging in 8 for t in your given formula ? - remember you would have to square first
*August 6, 2014*

**Math**

1/4(8y+4)-18<-1/2(4y-6) times 4, ( so < sign stays the same ) 8y + 4 - 72 < -8y + 12 add 8y+68 to both sides, (no change in the < ) 16y < 80 divide by 16, (no change in < ) y < 5
*August 6, 2014*

**Math- urgent**

speed of hockey-puck ---- x (10/7)x = 170 10x = 1190 x = 119 mph
*August 6, 2014*

**math test review**

w=7r+6r+5r+4r+3r w = 25r the next multiple of 7r would be 28r for any positive integer of r so we need to add 3r
*August 6, 2014*

**math corrections**

that would make it 900/300 = 3 a gear with 3 teeth ????
*August 6, 2014*

**math corrections**

2. x = .75x + 6 .25x = 6 x = 24 4. outer radius = .75/2 = .375 inner radius = .625/2 = .3125 so thickness of wall = .375-.3125 = .0625 14. no diagram 24. Think of the teeth laid out linearly For the first gear in 1 minute would cover 30x30 or 900 teeth for the 2nd gear, let ...
*August 6, 2014*

**Geometry**

Yup, I was so totally distracted by the second part of his post, that I completely missed and ignored the actual question. Another senior moment!!! but... wasn't that a great explanation?? reminds me of my teaching years, when during an exam a student replied to a certain ...
*August 6, 2014*

**Geometry**

both are variations of the relation cos 2A = cos^2 A - sin^2 A or cos 2A = 2 cos^2 A - 1 or cos 2A = 1 - 2sin^2 A We use this to either find trig ratios of double an angle or 1/2 an angle e.g. if we know sin 50° , I could now find ratios for 25° or 100° e.g. you ...
*August 6, 2014*

**math**

x^2 + 12x + 4 = 0 does not factor, so I will complete the square, easiest way for this one. x^2 + 12x + 36 = -4+36 (x+6)^2 = 32 x+6 = ±√32 = ±4√2 x = -6 ± 4√2
*August 6, 2014*

**math**

Must be mathemagics
*August 6, 2014*

**math**

Your post makes no sense to me How is this related to the binomial theorem? 32 ÷ 7 = 4 with a remainder of 4
*August 6, 2014*

**college algebra**

number of gallons of the 30% stuff --- x .3x + .14(60) = .2(60+x) 30x + 14(60) = 20(60+x) 30x + 840 = 1200 +20x 10x = 360 x = 36
*August 5, 2014*

**geometry**

I interpreted " two of its interior angles are 127 degrees and 135 degrees, and the remaining interior angles are 173 degrees each. " the wrong then. so I should have had 130 + 130 + 130 + 127 + 135 + 173(n-5) = 180(n-2) which gives 652 + 173n - 865 = 180n - 360 n = ...
*August 5, 2014*

**geometry**

But Damon's answer contradicts the sum of the inside angles property if n = 21 the sum of the interior angles = 127+135 + 19(173) =3949 which must be a multiple of 180
*August 5, 2014*

**geometry**

sum of interior angles of an n-gon = 180(n-2) 127 + 135 + 173(n-2) = 180(n-2) 262 + 173n - 346 = 180n - 360 276 = 7n n = 39.4.. , but n must be a whole number so the question is bogus. Check your wording and typing
*August 5, 2014*

**Math**

done
*August 5, 2014*

**algebra**

huh? I see no x in a^2 + b^2 = 2014
*August 5, 2014*

**Math**

If you want that sum to be less than 7000 x + x+2 + x+4 + x+6 + x+8 = 7000 5x = 6980 x = 1396 so 1396 + 1398 + 1400 + 1402 + 1404 = 7000 but you want the sum to be < 7000 so 1394 + ... 1402 = 6990 if you want the numbers to be less than 7000 6998 + 6996 + 6994 + 6992 + 6990...
*August 5, 2014*

**Math**

You have to give more information. It is not arithmetic , nor is it geometric I can make it a quadratic .... term(n) = 3n^2 - 10n + 10 and the three terms you gave me will match. so term(15) = 3(225) - 10(15) + 10 = 535 or a cubic or ....
*August 5, 2014*

**advance algebra**

ditto what Steve said in your previous post on this.
*August 5, 2014*

**math test review**

I do not understand your m<C=2m<b,m<A=6m<B. In our general usage of angles and sides, a capital letter usually stands for an angle, a small letter stands for the length of the opposite side to that angle, there also seems to be a missing equal sign. If you are ...
*August 4, 2014*

**math**

what is 2 more than p ? isn't it p+2 ? area = p(p+2) p^2 + 2p = 8 p^2 + 2p - 8 = 0 which factors to (p+4)(p-2) = 0 p = -4, which is not admissable or p = 2 so the table is 2 m by 4 m check: what is 2 x 4 ?
*August 4, 2014*

**math**

done! patience!, you posted the same question only about 8 minutes before this one.
*August 4, 2014*

**math**

I assume you meant: If b is a positive integer < 200 a/b = 2/9 9a = 2b a = 2b/9 So b must be a multiple of 9 to have a as an integer the smallest value of b is 9 and the largest value of b is 198 so we have: 9 18 27 .... 180 189 198 to find out how many terms are in this ...
*August 4, 2014*

**MA 1310**

rewrite it in the more general form as y = (1/4) cos 3(x + 7/3) compared to y = a cos k(Ø + p) the amplitude is 1/4 the period is 2π/3 the phase shift is 7/3 to the left for your equation in the original form a common mistake would be to state that the sphase shift...
*August 4, 2014*

**geometry**

should be 19 cm^3 x/19 = 3^3/2^3 x/19 = 27/8 8x = 513 x = 64.125 cm^3
*August 4, 2014*

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