2(x-2) <= -2(1-x) 2x-4 <= -2+2x -4 <= -2 so, the statement is true for any value of x.
9a+4(300-a) = 1670 Now just solve for a
P is where 3pi*x = 3pi/2 P=(1/2,-8) Q is where 3pi*x = 5pi/2 Q=(5/6,8) so, the slope of PQ is 16/(1/3) = 48
ride is the direct object it was given to the friend. Friend is the indirect object.
1/2 + 2/5 = 9/10 so, the remaining 1/10 are large 1/10 x = 5 x = 50
since the slope is -2, y decreases by 2 when x increases by 1. since y increased by 8, x decreased by 4, so (3,12) is the other point.
c = (2/6)n = n/3
you want to convert hours to envelopes. 321 envelopes = 1.25 hours So, the conversion factor is 321 env/1.25 hr 2 hr * 321/1.25 env/hr = 513 envelopes
trig - go with Damon
dang - go with Damon again. I used a 35" radius. Note to self: read twice, type once.
2π*35*400 = 28000π in/min Now just convert that to mi/hr. for 50mi/hr, just take the fraction needed to get 50. That is, if the answer to (a) is 100 mi/hr, just take 50/100 of 400rpm to get the balancing speed.
.63 = .07 * 8.99 25.83 = .07 * 368.99 fill in the others similarly
since this is the slope-intercept form, it should be clear what the gradient and y-intercept are. As for the x-intercept, just set y=0: 2x+7=0 and solve for x.
looks good to me. more common to use pi or π than TT, though.
false. r^2 and 2θ only have a single value each.
never heard of a "non-perfect" root. The radical is exact; any attempt to evaluate it as a decimal is necessarily imprecise.
Steve - Damon is not sure!
ah yes - again the incorrect reading of the problem. We wanted four letter arrangements are there for the word Mattawa. Hmmm. Things get complicated. There is only one combination of unique letters: matw. They may be arranged in 4! = 24 ways. The combinations of 3 unique lette...
The difference in taxes is 2.50%, so .025 * 11.57 <= x <= .025 * 81.43
no. read the problem. To get the famas, just count the number of perfect squares: 1 4 9 16 36 49 64 so, famas(12) = 3 famas(70) = 7
just list the squares below 36. What's the difficulty?
Algebra 1 (Reiny)
x^0 = 1 So, plug in y=-4 and you have 2(1)(-4)^-3 = 2/-64 = -1/32 If you have values for x and d, just plug them in. Remember that odd powers of negative numbers are negative, and even powers of any number are positive.
math ( sets )
no easy way to do this; just list them: 1 8 27 64
math ( sets )
only 1 in 8 will be divisible, so divide by 8. (100-30+1)/8 = 8.8 so, there appear to be only 8 multiples of 8 in that set. But, the non-multiples on either end take up some of the candidate spots. So, start just after the smallest multiple of 8: (100-31)/8 = 8.6 So, there are...
math ( sequence )
There are 5 terms between T15 and T20, so we need to add 5 five times to back up from T20 to T15. -32 + 5(5) = -7
permutations with identical items.
There are 7 letters, so there are 7! ways to arrange them. But, the two t's and 3 a's are indistinguishable. Since there are 2! ways to arrange the 2 t's, we divide by 2! to get the number of unique permutations. Similarly for the 3 a's. So, the final count is ...
7x + 9y >= 693 Just graph the line 7x+9y = 693 Now, any x or y value greater than what's on the line will satisfy the inequality, since then 7x+9y will be greater than 693. Take a look here. The shaded area is all the values of x and y that cause 7x+97 to be at least 69...
dunno about your calculator, but at http://www.alcula.com/calculators/statistics/linear-regression/ we get y = 11.33x - 0.90
4th grade social studies
Spain traded Florida to the United States in return for recognition of the Sabine River as Texas's eastern boundary.
The following site will answer your question. http://www.cnn.com/2013/02/28/world/americas/phoenician-christopher-columbus-america-sailboat/
If your asking what a box plot is you can go to the following site and get your answer. http://en.wikipedia.org/wiki/Box_plot
1) you have a good start - but put the boys 1st -- 24 to 16 then reduce until you get 3 to 2. One way to check would be out of 5 students 3 are boys and 2 are girls 40 students divided by our 5 is 8 sub groups and 8 times our 3 boys is a total of 2 boys and 2 girls times 8 is ...
j/3 +3 12/3 +3 4 + 3 = 7
You can find your answer at this site. http://www.tgmag.ca/magic/mt59.html
Unit Rate is the ratio of two measurements in which the second term is 1. you are correct
You can find your answer at this site http://www.mplans.com/articles/product-bundling/
A mixture containing 50grams of carbon and 75 grams of oxygen is sealed in a flask. The total mass of the system is 225 grams. The flask is heated to cause the carbon and oxygen to react. The sealed flask is massed. What is the mass of the sealed flask? A) 125 grams B) 150 gra...
well, as usual, you should reduce fractions to their lowest terms. Just divide top and bottom by 1.20 I had thought you would take the next step on your own ...
(A) 4.80/1.20 (B) 1.20/4.80
3/6 * 2/3 * 1/4 since no letters occurs in more than one box, things are simple.
Math - no input?
no ideas on any of those questions?
Science - bob
I think considering her name, it is likely that English is not her native language. Considering the key words, it is likely that "what" was meant. Although if I were a non-native speaker of English, I'd take care to post the question exactly as asked. Of course, ...
also, don't forget to include G=6.67 * 10^-11 m^3/kg-s^2
you can enter chemical formulas here http://www.lenntech.com/calculators/molecular/molecular-weight-calculator.htm to calculate molar mass easily.
A person invests $500 on June 4, 2015 in an account which earns 7% simple interest. Determine the value of the investment on October 18, 2015.
Looks good to me.
divide by -3: n > -27 Note that multiplying by a negative value changes the direction of the inequality. It's just shorthand for moving things to the other side: -3n < 81 add 3n: 0 < 3n+81 subtract 81: -81 < 3n divide by 3: -27 < n which is the same as n >...
an excellent graphing tool is at http://rechneronline.de/function-graphs
Draw a diagram We see that <B = 50°35' <A = 61°35' so, <C = 57°50' so, using the law of sines, AC/sinB = BC/sinA = 15/sinC So, just plug in the values for the angles.
1/2, as on every toss. Although, the fairness of the coin does come under some doubt.
if you mean exponentiation, it's usually done 3^x. Λ is usually for logical "and". aside from 2*3^x + 1/8, I don't see much to do with the expression.
1/6 * 1/6 = 1/36
assuming you want the cost in INR, 350*(100/17.50) * 1.015 = 20300 ??
associative 8a-3a = (8-3)a = 5a distributive again
Liberal Arts Math II
valid, but not true.
since PE=mgh and KE = 1/2 mv^2, gh = 1/2 v^2 (9.8)(2) = 1/2 v^2 . . .
whole numbers integers rational numbers reals
I think you could do with a comma after supportive family member in my life, ... keep trying my best, ... the following clauses are long, and a mental pause would be welcome. Also, and maybe just personal preference, you have a compound verb in the 1st sentence noted above, wi...
C is the answer
Oddly, the answers agree, since 8 = y(x+1), so -8/(x+1)^2 = -(8/(x+1))/(x+1) = -y/(x+1)
Physics - my bad!
boy, I guess I blew that one! Guess I'll leave the physics to Damon.
looks to me like (-35-39)°C * 10^-5 m/°C = -74*10^-5 m always keep track of the units; that will help set up the calculation
if the three angles are x,y,z, then x = 7n+4 y = x-4 z = 2x So, how did you get a value for x and not be able to come up with y and z? They have to add to 180 degrees. By the way, what did you get for x?
visit here http://www.wolframalpha.com/input/?i=plot+y-1%3D3%28x-1%29+ you can use the plot command to graph many kinds of functions
we need x>0 and y>0 eliminating y, we have x-(3-cx) = 2 (c+1)x = 5 c+1 > 0 c > -1 eliminating x, we have cx-cy = 2c cx+y = 3 (1+c)y = 3-2c y = (3-2c)/(c+1) since c+1 > 0, 3-2c > 0, so c < 3/2 so, -1 < c < 3/2
and ? . . .
correct. and volume is cubed.
Algebra 1--Three Word Problems (Reiny or Kuai)
#2. 30p+15c <= 150 #3. 0 <= m <= 45 0 <= a <= 50 4m + 3a >= 300 see the solution at http://www.wolframalpha.com/input/?i=solve+0+%3C%3D+m+%3C%3D+45%2C+0+%3C%3D+a+%3C%3D+50%2C+4m+%2B+3a+%3E%3D+300
Algebra 1--Three Word Problems (Reiny or Kuai)
to graph inequalities, draw the lines that represent the equations (as if not inequalities). Then shade the area above or below the line, depending on whether y is greater or less than the values on the line. For example, on #1, if Linda works p hours at the pharmacy and b hou...
Hmmm. I get 18x24, since you need 24" to go all the way around the box. Then you cut out the corners so you get a T-shaped sheet of paper. The 18" cross-piece will wrap around the base and two of the sides.
Nope. Think about it. Since the two original dimensions are 8x10, after the cuts, the base of the box will be 8x10 6x8 4x6 2x4 You cannot even get (c) by cutting equal squares from all corners.
well, the volume is width * length * height (x) v = (10-2x)(12-2x)(x) now plug in x=1,2,3,4 and see which gives the greatest volume
80% increased by 10% is .80*1.1 = .88
now he makes 100, spends 80, and saves 20 later, he makes 125 and spends 88, saving 37 so, his savings went up 17/20 = 85%
who cares about all the apples? a .1kg apple at 1m height has PE=mgh=.98J
figure out how deep the block sinks into the water (so its displacement of water has the same weight as the block) Then subtract .035m from the height of the block above the water.
25+15-x = 35-5 x = 10
Maths- yr 5
he spent 1/4 of the remainder on the magazine 25.80 was 3/4 of the remainder So, the magazine was 1/3 of 25.80 = 8.60
We've all been there. Good judgment comes from experience. Experience comes from bad judgment.
In this case, just divide through by cot^2 to get tan^2 - sec^2 = -1
24 what a day? If 24 hours, ummm, all of the world has a 24-hour day.
Science - 7th grade
of course. The reason radiation helps cure diseases is that it kills the bad cells. Improperly administered, it also kills the good cells!
when they are parallel, and thus add up completely.
first way: The distance between (h,k) and Ax+By+C=0 is |Ah+Bk+C|/√(A^2+B^2) So, we have the point (0,0), giving d = |12|/√(3^2+4^2) = 12/5 = 2.4 The other way is to realize that the shortest distance from a point to a line is along the line through the point and pe...
Math (last question I swear!)
If Leroy's eyes are h feet above the water, then we can make the diagram as follows: T is the top of Leroy's head, x feet above B, directly below him on the water. E is the boat eastward W is the boat westward. Now we have x/BW = tan 24° x/BE = tan 31° eliminat...
did you draw the diagram? Due east is along the x-axis. NE is at 45°. So, the inside angle of the triangle is 180°-45° = 135° If that kind of diagram gives you problems, you have a tough road ahead...
1600+400+1131.37 = 3131.37
You could also use the law of cosines. The angle between the two legs of the trip is 135°, so d^2 = 40^2 + 20^2 - 2(40)(20)cos135° = 1600+400-1131.37 = 3131.37 rounding from the approximations above accounts for the small difference.
Starting from (0,0) 40mi/hr * 1 hr = 40 mi east, to (40,0) 40mi/hr * 1/2 hr = 20 mi NE adds another (20/√2,20/√2)=(14.14,14.14) So, now the car is at (54.14,14.14) The distance d^2 = 54.14^2 + 14.14^2 = 3131.14 d = 55.96
One lap is down and back, for 100 m. 500 m is 5 times as long as 100 meters, so it will take 5 * 1:35 = 5:165 = 7:45
not sure what you mean by "input force." Is that the force applied to the ball by the club, or the force applied to the club by the golfer?
maybe it'd be easier without all the zeros: 1 18 2 37 3 48 4 66 y=17x comes close. The errors are 1 +1 2 +3 3 +1 4 -2 Use your favorite regression tool for a more exact line. The best-fit line is y = 15.5x + 3.5 a good calculator and grapher is at http://www.alcula.com/cal...
2 liters 8 people 2/8 = 1/4 liter/person or 250 ml/person
Algebra 1 (Reiny)
just graph the two lines as equations. Then, shade the region above the first, and below the 2nd. To check your answer, click here: http://www.wolframalpha.com/input/?i=solve+15p+%2B+10b+%3E%3D+90%2C+p%2Bb+%3C%3D+20
Algebra 1 (Reiny)
15p + 10b >= 90 p+b <= 20 6 hrs at pharmacy = $90 9 hrs babysitting = $90 2 hrs at pharmacy = 3 hrs babysitting so, I think you can probably come up with other solutions.
maths-check my answers
#1 ok, if you say (b-a)/d same idea for #2,3,5 as written, #1 would be b - a/d, since multiplication is done before addition unless otherwise indicated with parentheses. Your answers are otherwise ok.
http://faculty.clintoncc.suny.edu/faculty/michael.gregory/files/bio%20101/bio%20101%20laboratory/mitosis/mitosis.htm You can find your answer at the above URL
well, since you're given v ery little info, you should expect the calculation to be relatively simple. density is gm/cm^3. You are given two data: g of rock and cm^3 volume, so density = 139.943g/29.7cm^3 = 4.712 g/cm^3
http://wiki.answers.com/Q/What_is_the_difference_between_partial_melting_and_fractional_crystallization You can find your answer at the above URL
Maths (Tangents and Normals)
slope of line is -1/2 slope of normal is thus 2 y' = 2x-4 = 2 x = 3 so, our line with slope 2 at (3,2) is y-2 = 2(x-3) plot y=x^2-4x+5 and y = 2(x-3)+2 for 0<x<4