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Mathtut answered: 3667 problems
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Matrices-and-determiminant/176529: How do I multiply: 2EA E=[1, 2] a=[3, 0, 2, -1]
1 solutions

Answer 131627 by Mathtut(3670) About Me  on 2009-01-13 21:52:26 (Show Source):
You can put this solution on YOUR website!
2EA: I am going to assume the A is a 2x2 matrix because in order for E which is a 1x2 matrix, to be multiplied by another matrix, the other matrix rows must be 2
:
2%28matrix%281%2C2%2C1%2C2%29%29=%28matrix%281%2C2%2C2%2C4%29%29%28matrix%282%2C2%2C3%2C0%2C2%2C-1%29%29=%28matrix%281%2C2%2C-2%2C-4%29%29


Inequalities/176541: A metal stays solid at Fahrenheit temperatures below 1760.2 degrees. Determine (in terms of an inequality) those Celsius temperatures for which metal stays solid. Use the formula F=9/2C+32.
The solution set is {C|C<
1 solutions

Answer 131623 by Mathtut(3670) About Me  on 2009-01-13 21:39:28 (Show Source):
You can put this solution on YOUR website!
so lets just plug in our known and solve for C. than 9/2 you typed should be 9/5
:
1760.2=9/5(C+32)
:
8801=9C+288
:
9C=8513
:
highlight%28C=945.89%29degrees Celcius
:
C%3AC%3C945.89degrees


Travel_Word_Problems/176536: It take Felicia 25 minutes to walk one mile. At this rate, how long would it take her to walk 7 miles?
I multiplied 25 x 7 = 175 minutes. But am confused trying to use the formula.
D=RT
D=7 miles, R=25 min/mile, T=T
7=25T
7/25 = T
T= .28 minutes
What am I not understanding? Thanks for your help!
1 solutions

Answer 131621 by Mathtut(3670) About Me  on 2009-01-13 21:35:19 (Show Source):
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you must pay attention to your units and make sure you interpret what the rate is as opposed to the distance and time.
:
the rate is not 25 minutes..... the rate is 1mi/25min
:
so 7mi=(1/25)(mi/min)(t)
:
t=7mi(25/1 (min/mi))...see how the units cancel each other so that we end up with 175 min.
:
the way you were doing it you ended up with %28mi%29%5E2%2Fmin


Inequalities/176537: You are taking a Spanish course in which there will be four tests, each worth 100 points. You have scores of 98.91, and 92 on the first three tests. You must make a total of 360 in order to get an A. What scores on the last test will give you an A?
1 solutions

Answer 131617 by Mathtut(3670) About Me  on 2009-01-13 21:21:57 (Show Source):
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91+92+98+x=360
:
281+x=360
:
highlight%28x=79%29 must be scored to avg 90 per test or to have a total of 360 points


Pythagorean-theorem/176467: Everybody knows that the Pythagorean Theorem works, and I can probably find a mathematical proof that is satisfying, but I want to know why, in ordinary, conversational terms, why it works!
Thanks so much!
1 solutions

Answer 131609 by Mathtut(3670) About Me  on 2009-01-13 20:41:28 (Show Source):
You can put this solution on YOUR website!
this reading might interest you
:
this one is an animation:
:
http://www.davis-inc.com/pythagor/index.shtml
:
http://jwilson.coe.uga.edu/EMT668/emt668.student.folders/HeadAngela/essay1/Pythagorean.html


Age_Word_Problems/176508: Two-thirds of someone's age three years ago plus one sixth of someone's age three years from now will equal someone's age four years ago. How old is someone now?
1 solutions

Answer 131607 by Mathtut(3670) About Me  on 2009-01-13 20:30:39 (Show Source):
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someone's age ....lets call s
:
2/3(s-3)+1/6(s+3)=s-4
:
(2/3)s-2+(1/6)s+(1/2)=s-4
:
4s-12+s+3=6s-24
:
highlight%28s=15%29
:


Age_Word_Problems/176507: One-half of someone's age four years from now minus three-fourths of someone's age four years ago is zero. What is someone's present age?
1 solutions

Answer 131606 by Mathtut(3670) About Me  on 2009-01-13 20:21:04 (Show Source):
You can put this solution on YOUR website!
lets call someone's age x
:
1/2(x+4)-3/4(x-4)=0....equation
:
(1/2)x+2-(3/4)x+3=0...distributed terms
:
2x+8-3x+12=0...multiplied all terms by 4
:
-x=-20
:
highlight%28x=20%29years old


Linear-systems/176481: How do I write an equation for a line whose slope is undefined and passes through (6, 4)?
1 solutions

Answer 131604 by Mathtut(3670) About Me  on 2009-01-13 20:09:17 (Show Source):
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if the slope is undefined then we know the equation takes the form of x=a, where a is the value of the x coordinate of any point on the line.
:
hence x=6 is our equation


Complex_Numbers/176496: how do I simplifiy the fraction -(2x over -xy)?
1 solutions

Answer 131602 by Mathtut(3670) About Me  on 2009-01-13 20:05:52 (Show Source):
You can put this solution on YOUR website!
-(2x over -xy)
:
cross%28-1%292cross%28x%29%2Fcross%28-1%29cross%28x%29y
:
highlight%282%2Fy%29


Equations/176484: This question is from textbook

1 solutions

Answer 131600 by Mathtut(3670) About Me  on 2009-01-13 20:01:12 (Show Source):
You can put this solution on YOUR website!
need a question........thanks Mathtut


Linear-equations/176485: Create an equation of a nonlinear function and provide two more examples
1 solutions

Answer 131599 by Mathtut(3670) About Me  on 2009-01-13 20:00:38 (Show Source):


Linear_Algebra/176486: what is 18r^4s^5t^6 divided by -3r^2st^3?
1 solutions

Answer 131597 by Mathtut(3670) About Me  on 2009-01-13 19:53:25 (Show Source):


Linear_Equations_And_Systems_Word_Problems/176487: During a sale an automobile dealer sold 69 cars and trucks. If she sold 27 more cars than trucks how many trucks did she sell?
1 solutions

Answer 131595 by Mathtut(3670) About Me  on 2009-01-13 19:47:48 (Show Source):
You can put this solution on YOUR website!
let x and y be the number of cars and trucks sold respectively
:
x+y=69........eq 1
x=y+27........eq 2
:
take x's value from eq 2 and plug it into eq 1
:
y+27+y=69
:
2y=42
:
highlight%28y=21%29number of trucks sold
:
highlight%28x=y%2B27=21%2B27=48%29number of cars sold


Equations/176488: 8-P=-12-3P
1 solutions

Answer 131594 by Mathtut(3670) About Me  on 2009-01-13 19:44:31 (Show Source):
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8-P=-12-3P
:
2P=-20......added 3P and subtracted 8 from both sides
:
highlight%28P=-10%29divided both sides by 2 to isolate the variable P


Geometry_Word_Problems/176480: "A certain angle is 30 degrees less than 4 times it's compliment. Find the angle's supplement."
I need a step by step answer to the above word problem. Thank you in advance.
1 solutions

Answer 131593 by Mathtut(3670) About Me  on 2009-01-13 19:41:31 (Show Source):
You can put this solution on YOUR website!
let a and b be our supplementary angles
:
b=4a-30..........eq 1
a+b=180..........eq 2
:
rewrite eq 2 to b=180-a and plug it into eq 1
:
180-a=4a-30
:
5a=210
:
highlight%28a=42%29degrees
:
highlight%28b=4%2842%29-30=138%29degrees


Inverses/176475: If two numbers are opposite of each other, are their reciprocals also opposite of each other?
1 solutions

Answer 131588 by Mathtut(3670) About Me  on 2009-01-13 19:31:33 (Show Source):
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3 and -3---->1/3 and -1/3
:
in general if -a is the opposite of a is -1/a the opposite of 1/a
:
if -a+a=0
:
then is(-1/a)+(1/a)= to zero -1+1/a=0/a=0
:
it appears as if the answer is YES


Probability-and-statistics/176476: arrange these # in order from least to greatest : 25%, 0.5, 3/5, 0.45, 4/20, 65%
flip a coin and roll a die find P ( tails and mutiple of 3)
1 solutions

Answer 131586 by Mathtut(3670) About Me  on 2009-01-13 19:23:00 (Show Source):
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4/20,25%,.45,.5,3/5,65%


Graphs/176465: This question is from textbook Virginia Algebra I
graph each question.
y-2=(x-3)
1 solutions

Answer 131583 by Mathtut(3670) About Me  on 2009-01-13 19:06:12 (Show Source):


Linear_Equations_And_Systems_Word_Problems/176462: can you help with this problem:
ten gallons of a 30% acid mixture is obtained by mixing a 20% solution with a 50% solution. How much of each must be used?
i've tried creating two linear equations (one for total volume and one for concentration) but i don't know where to go from there.
1 solutions

Answer 131581 by Mathtut(3670) About Me  on 2009-01-13 19:05:15 (Show Source):
You can put this solution on YOUR website!
ok lets call the amount of 20% and 50% solutions a and b respectively
:
a+b=10...........eq 1
.2a+.5b=.3(10)...eq 2
:
rewrite eq 1 to a=10-b and plug this value into eq 2
:
.2(10-b)+.5b=3
:
2-.2b+.5b=3
:
.3b=1
:
highlight%28b=3.33%29amount of 50% solution
:
highlight%28a=10-b=10-3.33=6.67%29amount of 20% solution


Quadratic_Equations/176455: This is related to quadratic equations and complex numbers. The equation is x^2+mx+n=0 One of the roots/solutions is 3+2i. What is the value of m?
1 solutions

Answer 131579 by Mathtut(3670) About Me  on 2009-01-13 18:57:17 (Show Source):
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if one solution is 3+2i then the other is 3-2i
:
%28x-%283%2B2i%29%29%28x-%283-2i%29%29=0
:
%28x-3-2i%29%28x-3%2B2i%29=0
:
x%5E2-3x%2B2ix-3x%2B9-6i-2ix%2B6i-4i%5E2
:
x%5E2-6x%2B13=0
:
value of m=-6


Number-Line/176457: 17h+h+16-6h
1 solutions

Answer 131576 by Mathtut(3670) About Me  on 2009-01-13 18:52:49 (Show Source):
You can put this solution on YOUR website!
combine all like terms
:
17h%2Bh%2B16-6h=highlight%2812h%2B16%29


Linear-systems/176458: How do I graph: 4y-3x=12?
1 solutions

Answer 131575 by Mathtut(3670) About Me  on 2009-01-13 18:51:30 (Show Source):
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4y=3x+12
:
y=(3/4)x+3
:
slope is 3/4, y intercept is 3
:
make a table for any given value of x find y and then plot those point and you will end up with this line
:
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C%283%2F4%29x%2B3%29


Radicals/176454: This question is from textbook mathatics for the caribbean 3

1 solutions

Answer 131570 by Mathtut(3670) About Me  on 2009-01-13 18:35:34 (Show Source):
You can put this solution on YOUR website!
need a question ....thanks Mathtut


Points-lines-and-rays/176451: This question is from textbook
Give an equation of each line described. Use the form specified by your teacher.
slope : 2
y-intercept: 5
1 solutions

Answer 131567 by Mathtut(3670) About Me  on 2009-01-13 18:22:24 (Show Source):
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y=mx+b is slope intercept form just plug em in
:
y=2x+5


Miscellaneous_Word_Problems/176450: This question is from textbook
a truck is 26 feet long. Find the length on a scale model if 1 inch represents 5 1/2 feet. Round to the nearest tenth if necessary.
1 solutions

Answer 131566 by Mathtut(3670) About Me  on 2009-01-13 18:21:29 (Show Source):
You can put this solution on YOUR website!
so you would divide 26ft/5.5ft to find out how many intervals of 5.5 there are.
:
26/5.5=4.7
:
so we need 4.7 inches on the scale model to represent 26 ft
:
5.5(4.7)=26


Miscellaneous_Word_Problems/176420: Mr.McKay can save 2% of his fuel bill if he pays within 10 days. About how much would he save on a fuel bill of 119.75 ?
1 solutions

Answer 131536 by Mathtut(3670) About Me  on 2009-01-13 16:29:38 (Show Source):
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119.75(.02)=2.4 dollars


Linear-systems/176424: please answer my question: write an equation of the line that passes through (-5,3) and is perpendicular to the x-axis in slope-intercept form
1 solutions

Answer 131534 by Mathtut(3670) About Me  on 2009-01-13 16:24:55 (Show Source):
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y=0 is the x axis and we know the slope is zero so we have the slope and a point
:
the slope of a vertical line which would be perpendicular to the x axis is undefined . So the answer would be a vertical line with an equation of x=-5 which is parallel to the y axis and 5 units to the left of it.


Polygons/176413: This question is from textbook
I need help with #16,how to find the measure of a 20-gon angle. Here are the directions, " find the measure of an angle in each polygon if the polygon is regular. Round to the nearest tenth of a degree if necessary.
1 solutions

Answer 131516 by Mathtut(3670) About Me  on 2009-01-13 15:23:39 (Show Source):
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the formula for finding the sum of interior angles for a regular polygon is 180(n-2)....so since n=20 we arrive at
:
180(18)=3240 degrees
:
now since there are 20 equal angles we divide this by 20 to get the measurement of 1
:
3240/20=162 degrees each


Functions/176408: What similarities and differences do you see between functions and linear equations Are all linear equations functions? Is there an instance in which a linear equation is not a function? Support your answer. Create an equation of a nonlinear function and provide two inputs for your classmates to evaluate.

1 solutions

Answer 131513 by Mathtut(3670) About Me  on 2009-01-13 15:00:55 (Show Source):
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functions map inputs to unique outputs. A polynomial function of the first degree, such as y = 2x + 1, is called a linear function
All linear equations are functions with the exception of one type--
:
Use the vertical line rule to see if an equation is a function or not. If a vertical line intersects a plot at more than one point, the equation is NOT a function.
:
So, there is a linear equation that is not a function. Using the vertical line rule we conclude that a vertical itself is not a function. Maybe it would be easier to look at this from another definition of function. There is one and only one y value for each value of x. For x=a, there is infinite values of y. Thus a vertical line is not a function.
nonlinear function f(x) = x^2-1



Divisibility_and_Prime_Numbers/176345: which is the greatest 3 digit number exactly divisible by 8,10,12
1 solutions

Answer 131509 by Mathtut(3670) About Me  on 2009-01-13 14:46:14 (Show Source):
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960....which is 8 times 10 times 12. lets test numbers of above that
:
since it has to be divisible by 12 lets add 12 to 960
:
960+12=972...10 doesnt work here
:
972+12=984...10 doesnt work here
:
984+12=996...10 doesnt work here
:
any other additions of 12 would take us to 4 digits.


Quadratic_Equations/176362: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0
Solution: 3 (only solution)
Any help would be much appreciated
Thank you

1 solutions

Answer 131507 by Mathtut(3670) About Me  on 2009-01-13 14:35:55 (Show Source):
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%28x-3%29%28x-3%29=0 since 3 is the only solution
:
highlight%28x%5E2-6x%2B9=0%29