Tuesday
July 28, 2015

Posts by STEVE


Total # Posts: 32,485

Math
when you say "related" it's not quite clear which way the scale factor is applied. if ABC is .5 CDE, the all the sides of ABC are 0.5 as big as those of CDE. if CDE is 0.5 ABC, then all the sides of CDE are .5 as big as those of ABC. So, pick the right one, and ...
May 25, 2015

Algebra
find the highest power of primes and variables that divide both terms: 14abc = 14abc 28a^2b^2c^3 = 14abc * 2abc^2 So, the GCF is 14abc It divides both terms, but no higher powers of anything will do so.
May 25, 2015

Math
5^2 = 5x5 5^9 = 5x5x5x5x5x5x5x5x5 5^11 = 5x5x5x5x5x5x5x5x5x5x5 = (5x5)x(5x5x5x5x5x5x5x5x5) So, when you multiply powers, you just add the exponents.
May 25, 2015

Math
so are you saying it could be stratified?
May 25, 2015

Math
Identify the sampling,method. You want to determine the number of text messages students at your school send in a month. You go to the cafeteria and ask every 4th student that walks in. a- random b- systemic c- stratified d-m none of these My answer is none of the these ...
May 25, 2015

Algebra 1
What are the solutions to the system? y=x^2+5x-9 y+2x+1
May 25, 2015

Algebra 1
Since opening night, attendance at Play A has increased steadily, while Play B first rose then fell. Equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. On what day(s) was the attendance the same at both ...
May 25, 2015

Math
my answer is 208.02 meters
May 25, 2015

Math
A model rocket is launched from a roof into a large field. The path the rocket can be modeled by the equation y=-0.04x^2+8.3x+4.3 where x is the horizontal distance in meters, from the starting point on the roof and y is the height in meters, of the rocket above the ground. ...
May 25, 2015

Math
Sorry I think that it is 439.20 meters in 9.2 seconds
May 25, 2015

Math
A catapult launches a boulder with an upward velocity of 92 m/s. The height of the boulder, h, in meters after 1 seconds is given in the function h= -5t^2+92t+16. How many seconds does it take to reach maximum height? What is the boulders maximum height?
May 25, 2015

math
I don't see any way. The number of yellow birds must be a multiple of 20 less than 100. So, if there are 20 yellow, b+g=80 7b+5g=99 If 40 yellow, b+g=60 7b+5g=98 If 60 yellow, b+g=40 7b+5g=97 If 80 yellow, b+g=20 7b+5g=96 None of those setups has positive integer solutions...
May 25, 2015

math
recall the formula for the circumference of a circle of radius r: c = 2πr Now just plug in your numbers.
May 25, 2015

Math
4k+1 = 5n+2 4k = 5n+1 So, what multiple of 4 is 1 more than a multiple of 5? k=4, n=3 So, 17 students.
May 25, 2015

Algebra
If each tray originally had n muffins n + 5 >= 20 n >= 15 so, there were originally 6n >= 90 muffins
May 25, 2015

Algebra
if the prices are n and s, then we have 14n + 4s = 250 7n + 4s = 170 now just find c and s. Just looking at the numbers, I suspect a typo, but go with what you have written.
May 25, 2015

algebra (check my work)
yes, as could could check: .60 * 40 = 24
May 25, 2015

math
s = rθ where θ is in radians. So, since π radians is 180°, s = 9 * 69 * π/180
May 24, 2015

Coordinate Graphing
3x+2 = 5 x = 1 so, plot (1,5)
May 24, 2015

combinatorics
first, how many edges are there on an icosohedron? Then, since there are duplicates, you will have 30Pn/(10!10!10!) ways to arrange the toothpicks. But, there are rotational symmetries which make multiple solutions really the same thing.
May 24, 2015

Math
v = x(20-2x)^2
May 24, 2015

math
the base is a square of side 6. So, each face is a triangle of base 6 and altitude 5.
May 24, 2015

math
Hmmm. ACtually, on the stretch, I'd gave to say neither. a^x passes through (0,1) for any value of a. So there can be no vertical scale factor. The stretch/compression is reversed as you cross the y-axis.
May 24, 2015

math
if x>0, 3^x > 1 if x<0, 3^x is between 0 and 1. There is no value of x that will produce a negative result. As for the stretch, I have to ask again, compared to what? 3^x is stretched when compared to 2^x, but it is compressed when compared to 4^x.
May 24, 2015

math
I answered this on Friday. See the related questions below. Was there something unclear?
May 24, 2015

math
42
May 24, 2015

Combinatorics
well, using 24 1x1 tiles is one way. Using 2x2 tiles, only one tile will fit across. It can be on the left or right side. So, a single 2x2 tile can be placed in 2x7=14 places. Now consider using more than one 2x2 tile. Figure how many places it can slide around into. I'm ...
May 24, 2015

trigonometry
as always, draw a diagram. If the building's height is h, then you can see that (h-2)/35 = tan 60° If you draw an equilateral triangle, and drop an altitude to one side, you have a 30-60-90 triangle, whose sides are in the ratio 1:√3:2. You know that the ...
May 24, 2015

Math
that would be 1.7km/5s = 0.34 km/s
May 24, 2015

Math
60P5 = 60!/55!
May 23, 2015

Math
if you had 60 songs how many different ways can you load 5 songs
May 23, 2015

math
see the related questions below
May 23, 2015

math
I agree
May 23, 2015

Grammar
or just "to be"
May 23, 2015

Integers
8 * -17
May 23, 2015

Math
is A adjacent to or opposite θ?
May 23, 2015

algebra
inverse variation means that xy = k, a constant. so, the first is xy=10 and the second is xy = ?
May 23, 2015

algebra--1 question
well, consider that 4b^3+5b-3 = (2b-1)(2b^2+b+3)
May 23, 2015

math
How about some actual math notation? is it x=1+√2+√3 and x^4-4x^3-4x^2+16x-8 = 0? I don't see any useful tricks here. Just start expanding the powers. x^4 = 80 + 48√2 + 40√3 + 32√6 Expand the others and then things will cancel out.
May 23, 2015

Mathematics
this is a stupid question. mean, mode, median relate to collections of data. You have no such set of measurements. Also, your question is bogus. How can you drive 80 km/h at a speed of 63 km/h?
May 23, 2015

Geometry
Are V and T inside or outside triangle PRS?
May 23, 2015

Algebra
(x-9)5 = x(5)-9(5) = 5x-45 just as (12-7)(5) = 5(5) = 25 12*5 - 7*5 = 60-35 = 25
May 23, 2015

Algebra
should have stayed with 36 1+3+5+7+9+11 = 36 In fact, if you add up the first n odd numbers, the sum is n^2. How did you decide on 11? 1+3+5=9 and you still had three rows to go.
May 22, 2015

physics
well 1A = 1C/s. You have 5uC/2s = 2.5 uC/s = 2.5uA
May 22, 2015

Math
surely there are online resources you can investigate. And, believe it or not, most teachers are not ogres.
May 22, 2015

Math
surely there's a way for you to check on that for yourself...
May 22, 2015

Science
usually 14 lb/in^2
May 22, 2015

Math
area of triangle base: 1/2 bh volume of prism: base.area * height so, what do you get?
May 22, 2015

Math
in posers of 7, you have 7^(-2n) + 3 = 7^(1/2) Now, in general, that's tough. I suspect you meant (1/49)^(n+3) = √7 Then we have 7^(-2(n+3)) = 7^(1/2) -2(n+3) = 1/2 n+3 = -1/4 n = -13/4
May 22, 2015

math
y=a^x opens up for any value of a>0 domain is all reals range is all y > 0 no vertex a^0 = 1 for all a>0 stretch factor: compared to what?
May 22, 2015

Combinatorics
There are 500 even integers. 105 = 3*5*7 So, throw out all the multiples of 3,5,7
May 22, 2015

math
6000/(1+.03/2)^(2*8) = 4728.19
May 22, 2015

Math
that is just the number of permutations of 5 things out of 6: 6P5 = 6!/1!
May 22, 2015

geometry
The center is the midpoint of PQ: (-3,4) The radius is half the length of PQ: 1/2 √(14^2+4^2) Now, knowing the center and the radius, you know that the equation is (x+3)^2 + (y-4)^2 = r^2
May 22, 2015

Math
cone: area = πrs volume = 1/3 πr^2h = π/3 r^2√(s^2-r^2) hemisphere: area = 2πr^2 volume = 2/3 πr^3 So, plug in your numbers and you will get the desired answers. If not, come back with your work and we can see where you went wrong.
May 22, 2015

physics
kaBOOM!
May 22, 2015

maths
tan7θ tan3θ = 1 express in terms of sin and cos: sin7θ sin3θ = cos3θ cos7θ cos3θ cos7θ - sin7θ sin3θ = 0 Things should be starting to look familiar now . . .
May 22, 2015

math
experimental loaded dice!
May 22, 2015

math
the vertex of ax^2+bx+c is at x = -b/2a In this case, that is 750/50 = 15, not 9. v(15) = 4375
May 22, 2015

math
well, that would just be the difference between the two temperatures. How do you find the difference between two numbers? For example, how much bigger is 100 that 20?
May 21, 2015

Physics
I see a lot of verbage, but nothing related to actually solving this problem. Draw a diagram of the vectors involved. Clearly, sin α = 10/80, so α = 7.18° The speed at touchdown will be 80 cosα = 79.37 mi/hr
May 21, 2015

Physics
nope: C 1/20 = 1/8 + 1/x x = -13.3
May 21, 2015

Math
stupid cursing filters! 8/2 = 4 cages of c**katiels 32/10=3.2, so 4 cages of parakeets 28/10=2.8, so 3 cages of finches
May 21, 2015

Math
ooops. negative multiplication changes direction: -2x < 9 x > 9/-2 x > -4.5
May 21, 2015

math
see related questions below
May 21, 2015

algebra
original amount: x apples Becky gets (x+1)/2, leaving Joy (x-1)/2 Gayle gets (x+1)/4, leaving Joy (x-3)/4 Bonnie gets (x+1)/8, leaving 1 left over x - (x+1)/2 - (x+1)/4 - (x+1)/8 = 1 x = 15 or, working backwards, there were ((1*2+1)*2+1)*2+1 = 15 apples to start
May 21, 2015

MATH PRACTICE
if you look at the coordinates, you just have a right triangle, with legs of length 4 and 7. So, figure the hypotenuse and add 'em up. I get something close to 19.
May 21, 2015

Algebra
√(1/5) - √5 1/√5 - √5 (1 - √5√5)/√5 (1 - 5)/√5 -4/√5
May 21, 2015

Zoneton
formatting. Should have been -2x < 9 x > ??? Swap sides to get -9 < 2x -9/2 < x or, x > -9/2
May 21, 2015

Math.
Clearly you need to review your shapes and their volumes. v = pi/3 r^2 h r=12 and h=10, so v = 3.14/3 * 12^2 * 10 = 1507.2 in^3
May 21, 2015

English
not necessarily. #2 is just motion #1 also implies intent -- to eat you.
May 21, 2015

Maths
well, which of them tends to oscillate between a max and a min on a regular (say, daily) basis?
May 21, 2015

math
mean
May 21, 2015

Calculus and quadratic equations
The data points are: (0,10000), (3,7075), (6,6400), (9,5275) The instructions say: If the last digit of your Student ID No. is an integer power of 2, then you are to use the initial investment value and data from 3 weeks and 6 weeks to work out the model. So, now you know ...
May 20, 2015

math
looks like 6 to me there are 3 ways to make the first move. Then from the new corner, there are 2 ways to continue. Then there is a single last move.
May 20, 2015

physics
the horizontal speed is 17.32 m/s So, the package falls for 750/17.32 = 43.30 seconds So, you need h where h + 10.0t - 4.9t^2 = 0 and t = 43.3 Now you can carry on with the other parts,
May 20, 2015

English
The expression is "have it easy." similarly expressions: Some like it hot. I can't get it right. Using "easily" would indicate the having, rather than what is being had. (Also, I've never heard anyone say it!)
May 20, 2015

Geometry
I'd say the distance formula, given the definition of a parabola.
May 20, 2015

Trig - My Bad
I messed up on my sign (QII) So, Reiny, how did you get 5/12? That was -tanØ
May 20, 2015

Trig
Not sure I like your values: sin2θ = 2sinθcosθ = 2(-5/13)(-12/13) = 120/169 cos2θ = 2cos^2θ-1 = 2(144/169)-1 = 119/169 tan2θ = sin2θ/cos2θ = 120/119
May 20, 2015

Trig
since π < θ < 3π/2 (QIII), sinθ = -5/13 tanθ = 5/12 Now just plug those into your double-angle formulae.
May 20, 2015

PHYSICS
so, what are your calculations? Maybe we can figure out what's wrong.
May 20, 2015

L A/The Giver
I agree with #1 Have you read the other two books in the series? Good story.
May 20, 2015

math
If the loan is for 62 days, then you want just 62/360 of the 15% for interest, since it's 15% for a whole year. (assuming the 360-day year)
May 20, 2015

math
I assume you want just the region in QI, since otherwise the axis of rotation is inside part of the region. So, we want the area whose vertices are (0,0), (0,1) and (π/2,π/2) Around the x-axis, we have, using discs, v = ∫[0,π/2] π ((x+cosx)^2 - x^2) ...
May 20, 2015

help
x + 3x = 20 . . .
May 20, 2015

physics
No.
May 20, 2015

math
to find the # of children's tickets, you just solve 35(2c) + 20c = 1890 then double that for the adults.
May 20, 2015

Good call, Reiny
Yes, I neglected to mention excluded values. One cannot gloss over stuff like that. My bad.
May 20, 2015

algebra
x/(6x-x^2) = x / x(6-x) = 1/(6-x) (x^2 - 3x - 18) / (x + 3) = (x-5)(x+3)/(x+3) = x-5 (k+3)/(4k-2) * (12k^2+2k-4) = (k+3)/(2(2k-1)) * 2(2k-1)(3k+2) = (k+3)/(3k+2)
May 20, 2015

math
if there's a 20% discount, it sells for 80% of its original price. so, 0.80 p = 126.40
May 20, 2015

math
well, geez, just check your answer 11 dimes and 2 nickels does indeed add up to $1.20
May 20, 2015

math
add up the coins: n+d = 13 add up the values: 5n+10d = 120 Now just solve for n and d.
May 20, 2015

Algebra
(8m^7 - 10m^5) / 2m^3 = 8m^7/2m^3 - 10m^5/2m^3 = 4m^4 - 5m^2 -2/(x+3) - 4/(x-5) = [-2(x-5) - 4(x+3)] / (x+3)(x-5) . . . 7/(x-3) + 3/(x-5) = [7(x-5) + 3(x-3)] / (x+5)(x-3) . . . -1/(x-9) - -2/(x+7) = [-(x+7) + 2(x-9)] / (x-9)(x+7) . . .
May 20, 2015

Trig
correct.
May 20, 2015

algebra
yes, it appears to be an exercise in the distributive property. Do you have a question? I expect you need to use the property to get rid of the parentheses and then solve for the variables. What do you get?
May 20, 2015

Statistics
so, at 5% per period, after 6 periods, the account will have 2000*1.05^6 + 2000*1.05^5 + ... + 2000 = 2000(1.05^7 - 1)/0.05 = 16284.02
May 20, 2015

geometry
well, v = 1/3 πr^2 h so, unless you know something about the height, there's no way to pin down the radius. All you know for sure is that r^3 h = 960/π Maybe you can fix things and then solve for r. Please don't just come back and say h=5, so what's r? ...
May 20, 2015

CSIR General Aptitude
Just subtract the starting position from the ending position to get the distance traveled...
May 20, 2015

pre-algebra
9z+8+3(2-4z)-9=-40 9z+8+6-12z-9 = -40 -3z+5 = -40 -3z = -45 z = 15
May 20, 2015

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