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Evaluation_Word_Problems/674703: This is a mathogram- the letters are substituted for digits of numbers. Find each digit represented by each letter in order to make a balanced equation as shown below. Each of the six letters must have a different number value. Two+Two=Four T=__ W=___ 0=___ F=___ U=___ R=___
1 solutions

Answer 419400 by solver91311(16885) About Me  on 2012-11-01 16:24:17 (Show Source):
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I found three sets of numbers that work:

867 + 867 = 1734

734 + 734 = 1468

928 + 928 = 1856

And I'm pretty sure that is all there are.
John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Money_Word_Problems/674704: I cant seem to find the right answer.
If $5000 is invested at an interest rate of 3% each year, find the amount of the investment at the end of 4 years for the following compounding methods.
a) annual

1 solutions

Answer 419387 by solver91311(16885) About Me  on 2012-11-01 15:08:53 (Show Source):
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Where have you looked?

John

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My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Exponents/674695: solve each equation for x. Round the answers to the nearest hundredth.
10^x=35
10^x=91
10^x=0.2
1 solutions

Answer 419384 by solver91311(16885) About Me  on 2012-11-01 15:03:14 (Show Source):
You can put this solution on YOUR website!




Take the base 10 log of both sides.



Use



to write:



Use



to write:



From here it is just calculator work.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



logarithm/674687: I have two questions concerning Logarithms. I appreciate any help.
a) Write as a single logarithm:
2log3^x+log3^y-log3^z
this is what I came up with but...?
2log3^(x+y-z)

b) solve for x:
2log3^(x+7+5) = log4^16
1 solutions

Answer 419383 by solver91311(16885) About Me  on 2012-11-01 14:55:57 (Show Source):
You can put this solution on YOUR website!




Use



to write:



Then use "the sum of the logs is the log of the product":



Then use "the difference of the logs is the log of the quotient"



John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Money_Word_Problems/674692: I tried working this question, but I just dont get it.
If $5000 is invested at an interest rate of 3% each year, find the amount of the investment at the end of 4 years for the following compounding methods.
a) annual
b) semiannual
c) monthly
d) daily
1 solutions

Answer 419379 by solver91311(16885) About Me  on 2012-11-01 14:46:49 (Show Source):
You can put this solution on YOUR website!


Please share one thing you have tried.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Money_Word_Problems/674691: I tried working this question, but I just dont get it.
If $5000 is invested at an interest rate of 3% each year, find the amount of the investment at the end of 4 years for the following compounding methods.
a) annual
b) semiannual
c) monthly
d) daily
1 solutions

Answer 419378 by solver91311(16885) About Me  on 2012-11-01 14:46:10 (Show Source):
You can put this solution on YOUR website!


Why did you ask the same question twice?

John

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My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Systems-of-equations/674693: How do you solve this?
4(8-2b)-26<_32
sign is less than or equal to
1 solutions

Answer 419377 by solver91311(16885) About Me  on 2012-11-01 14:45:07 (Show Source):
You can put this solution on YOUR website!


Add 26 to both sides.

Distribute the 4 coefficient across the parentheses

Add -32 to both sides

Multiply both sides by . Don't forget to reverse the sense of the inequality when multiplying by a factor less than zero.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Money_Word_Problems/674688: What is the accumulated value of an investment of $10,000 for 5 years at an interest rate of 7% if the money is A.compounded semiannually B. compounded quarterly C. compounded Monthly D. compounded continuously
1 solutions

Answer 419376 by solver91311(16885) About Me  on 2012-11-01 14:40:41 (Show Source):
You can put this solution on YOUR website!




Where is the accumulated value, is the principal invested, is the interest rate expressed as a decimal, is the number of compounding periods in one year, and is the number of years. Just plug in the numbers and do the aritmetic.

For continuous compounding:



Where is the accumulated value, is the principal invested, is the interest rate expressed as a decimal, and is the number of years.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Triangles/674661: please help me with this question? sketch the right triangle and find the length of the side not given. if necessary, approximate the length to the nearest thousandth. leg=37,leg=28 what is the length of the side not given
1 solutions

Answer 419371 by solver91311(16885) About Me  on 2012-11-01 13:41:53 (Show Source):
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Use Pythagoras.



Do the arithmetic. Rounding to the nearest thousandth when the precision of the given values was to the nearest whole number is sublimely dumb. However, not following you teacher's instructions is even dumber, so I guess you are stuck. Use your calculator, then round the result to three decimal places.

The rule is that you never express the results of a calculation to a precision greater than the least precise input measurement data. The reason is that measurements are never exact. For example, when you say that the measure of one of the legs of your triangle is 38, you are only guaranteeing that the measurement is in the range . Likewise, the other leg's measurement is only precise in the range . It can then be shown that the missing leg must be in the approximate range . As you should be able to tell, any decimal fraction precision on your answer actually adds nothing whatever to your body of knowledge regarding the true measure of the hypotenuse. Now, had the measurements of the legs been given as 28.000 and 37.000, THAT would be another story altogether.

John

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My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Triangles/674655: What is (1234872938475982081987239487594086265871623841-9587897502897450294875938745937459387459879384798572987348729387492873492739482783479)divided by 283947289379850 then multiply it's quotient? (This question is soooo hard!)
1 solutions

Answer 419366 by solver91311(16885) About Me  on 2012-11-01 13:24:06 (Show Source):
You can put this solution on YOUR website!


This is an algebra site. We expect that you already know how to do arithmetic before you get here.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Matrices-and-determiminant/674657: I need a world problem from the medical field (like a doctor giving a patient medicine) that uses solving systems of 2 linear equations in 2 unknowns by determinants. please and thank you!
1 solutions

Answer 419365 by solver91311(16885) About Me  on 2012-11-01 13:22:23 (Show Source):
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Go ask a medical professional. Once you have the problem stated, come back here and get a mathematician to help you solve it.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Linear-equations/674646: Find the slope of a line that passes through (-2,-3)and(1,1)
1 solutions

Answer 419364 by solver91311(16885) About Me  on 2012-11-01 13:20:11 (Show Source):
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Use the slope formula:



where and are the coordinates of the given points.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Rational-functions/674660: BRIDGES In 1895, a brick arch railway bridge was built on North Avenue in Baltimore, Maryland. The arch is described by the equation ,h= 9 - 1/50x^2, where h is the height in yards and x is the distance in yards from the center of the bridge. Graph this equation and describe, to the nearest yard, where the bridge touches the ground.

1 solutions

Answer 419358 by solver91311(16885) About Me  on 2012-11-01 12:58:21 (Show Source):
You can put this solution on YOUR website!


Why did you post the same problem twice?

John

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My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Rational-functions/674659: BRIDGES In 1895, a brick arch railway bridge was built on North Avenue in Baltimore, Maryland. The arch is described by the equation , where h is the height in yards and x is the distance in yards from the center of the bridge. Graph this equation and describe, to the nearest yard, where the bridge touches the ground.

1 solutions

Answer 419357 by solver91311(16885) About Me  on 2012-11-01 12:57:55 (Show Source):
You can put this solution on YOUR website!


Why did you post the same problem twice?

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Radicals/674636: Simplify the following.Assume all variables represent nonnegative real numbers.
3 sqrt X-5 + sqrt X-5
1 solutions

Answer 419356 by solver91311(16885) About Me  on 2012-11-01 12:56:47 (Show Source):
You can put this solution on YOUR website!


Hint: 3 apples plus 1 apple is ? Right, 4 apples, so then 3 square roots of (x + 5) plus 1 square root of (x + 5) must be . . .

John

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My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Sequences-and-series/674615: Consider the sequence:6;6;2;-6;-18


Determine an expression for the nth term,Tn
1 solutions

Answer 419345 by solver91311(16885) About Me  on 2012-11-01 11:56:26 (Show Source):
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Use the method of common differences:



      6     6     2    -6   -18
       \   / \   / \   / \   / 
         0    -4    -8   -12 
          \   / \   / \   /
           -4    -4    -4


The differences become common at the 2nd level down, hence the desired model for the nth term is going to be a 2nd degree polynomial.



The value of the term when n = 1 is 6, so:



Which is to say:



Using similar logic, we develop:



and



Solve the 3X3 system to find the values of the coefficients for

John

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My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Linear-equations/674617: 3x-3y=-2 into slope intercept form
1 solutions

Answer 419342 by solver91311(16885) About Me  on 2012-11-01 11:16:09 (Show Source):
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Add -3x to both sides.

Multiply both sides by

John

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The Out Campaign: Scarlet Letter of Atheism



Equations/674616: Which of the following steps could be used to solve the equation 93 = x + 58?


1. Add 58 to both sides.
2. Subtract 58 from both sides.
3. Multiply both sides by 58.
4. Divide both sides by 58.
thanks, have a great day. :)
1 solutions

Answer 419341 by solver91311(16885) About Me  on 2012-11-01 11:14:43 (Show Source):
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I wouldn't use any of the listed steps. I would add -58 to both sides. However, one of the listed steps is tantamount to the same thing.

John

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My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Age_Word_Problems/674612: A 6 year old boy wants to ride an adult go-karts but is not tall enough. His sister is twice as old as he is and rides a lot. The little boy finally turns 12 and is now old enough to ride the adult go-karts. How old is his sister?
1 solutions

Answer 419340 by solver91311(16885) About Me  on 2012-11-01 11:12:23 (Show Source):
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When the boy is 6, the sister is twice as old, so she is 12. When the boy is 12 it is 6 years later, so the sister has to be 12 + 6 = 18.

John

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My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



absolute-value/674441: Hi, tutors. I'm the stupidest person who has ever posted on this board.
1 solutions

Answer 419314 by solver91311(16885) About Me  on 2012-11-01 02:10:38 (Show Source):


Coordinate-system/674443: what best describes the triangle whose corners are located at the points (1,1),(2,2),and (0,16)?
1 solutions

Answer 419313 by solver91311(16885) About Me  on 2012-11-01 02:08:54 (Show Source):
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Scalene

John

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The Out Campaign: Scarlet Letter of Atheism





�t�e�s�t/674459: if i have 74% average in class and i made a 62 on the functions test what would be grade right now?
1 solutions

Answer 419312 by solver91311(16885) About Me  on 2012-11-01 02:06:59 (Show Source):
You can put this solution on YOUR website!


It depends. How many individual marks did you average to get the 74%?

Take the number of test scores used to calculate your 74% average, call that . Presuming all tests have the same weight (count the same amount toward your grade, e.g. you didn't get a mid-term in there that is supposed to be 20% of your grade by itself, or some other such scheme), then multiply . Add 62. Divdide by

John

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My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism





Linear-equations/674468: Solve for x, y, and z variables of this systems of equations problem: 3x + 2y + z = 7, 5x + 5y + 4z = 3, 3x + 2y + 3z = 1
Please show steps
(I already asked this once, but my answer wasn't explained easily, very hard to understand)
1 solutions

Answer 419311 by solver91311(16885) About Me  on 2012-11-01 01:59:56 (Show Source):
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What method are you supposed to use? Substitution? Elimination? Gauss-Jordan? Cramer's Rule? What have you tried yourself?

John

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The Out Campaign: Scarlet Letter of Atheism





Polynomials-and-rational-expressions/674542: Solve the rational equation.
x/(x + 4) = 11/(x2 - 16) + 2

I know that the solution is x = -7, 3 but I am confused on what the steps are to get this answer. Can anyone help me so that I can understand this please?
Thank you,
Rachelle
1 solutions

Answer 419310 by solver91311(16885) About Me  on 2012-11-01 01:55:05 (Show Source):
You can put this solution on YOUR website!


Note that is the difference of two squares, so the factorization is

Hence



Apply the LCD:



A little algebra music, Sammy:



You can fill in all the steps I left out.

Multiply by



Just solve the factorable quadratic.


John

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logarithm/674455: what is the exact log of log 6 base 2 mulitplied by log 8 base six? I'm confused b/c they both have different bases so I cant just add the eight and six
1 solutions

Answer 419308 by solver91311(16885) About Me  on 2012-11-01 01:36:51 (Show Source):
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You need to convert so that the two logs are the same base. You can convert the base 2 log to base 6, or the base 6 log to base 2, or convert both to some other base -- in the end it won't matter because you will always get the same answer.

Conversion formula:



Let's convert the base 6 log to base 2.



Now let's do the original multiplication:



Which simplifies to:



But wait! There's more! Now what would you pay? Oh, sorry, this isn't a Ginzu Knives infomercial, is it...but there is more for all that.

Note that , so:



But, remember:



So



But then:



So



John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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Trigonometry-basics/674477: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)
sin^2 θ = 5 − 2 cos^2 θ
θ =
thanks
happy halloween
1 solutions

Answer 419304 by solver91311(16885) About Me  on 2012-11-01 00:54:32 (Show Source):
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Substitute for







But the range of the cosine function is so NO SOLUTION.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



test/674479: If a line passes through (-1,4) and has a slope of -7, what is the equation of the line?
1 solutions

Answer 419301 by solver91311(16885) About Me  on 2012-11-01 00:40:16 (Show Source):
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Use the point-slope form of an equation of a line:



where are the coordinates of the given point and is the given slope.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Money_Word_Problems/674495: You are offered two jobs. One initially pays $25,000 annually, and your salary
will grow annually at 10%. The other pays $22,000 annually, but your salary will
grow at 12%. After 10 years, which job pays the higher salary? (Answer in
discretely separate parts as in: a. Job 1, b. Job 2, c. Comparison)
1 solutions

Answer 419299 by solver91311(16885) About Me  on 2012-11-01 00:35:27 (Show Source):
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Salary 1:

Salary 2:

Comparison: Salary 1 - Salary 2. Positive? Salary 1 is better. Otherwise, Salary 2 is better.

You can do your own arithmetic.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



test/674484: i need help solving this equation without using the quadratic formula: x^2-1/2x=1/3
1 solutions

Answer 419296 by solver91311(16885) About Me  on 2012-11-01 00:18:57 (Show Source):
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The only way to do it, since it won't factor and you don't want to use the quadratic formula, is to complete the square.

Divide the coefficient on by 2, then square the result: . Add to both sides.



Factor the perfect square trinomial in the LHS and simplify the RHS.



Take the square root of both sides:



Add the additive inverse of the constant in the LHS to both sides:



Now all you have to do is to rationalize the denominator and apply the LCD to combine the two fractions in the RHS.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism




Linear-systems/674532: Select the best answer that satisfies the equation below and tell why
|3m - 6| = 12
A. -6, 2
B. 9, -9
C. 6, -6
D. -2, 6


1 solutions

Answer 419293 by solver91311(16885) About Me  on 2012-10-31 23:49:29 (Show Source):
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Use the definition of absolute value: and . Solve both equations.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Geometry_proofs/674511: How to do the staements and reasons if the given is a\\b, <2 =<3 and the prove is c//d ?
1 solutions

Answer 419292 by solver91311(16885) About Me  on 2012-10-31 23:46:01 (Show Source):
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Sure, we'll just get out the crystal ball and the Tarot cards, and maybe even the chicken bones so that we can divine the relationship of your angles and lines. Use your head for something besides a hatrack, please.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism