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user_dude2008 answered: 1858 problems
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Trigonometry-basics/183554: helloo,
I am taking a work at your own pace class and do not have a text book, we get booklets premade by someone.
here is my question, we are in trig right now
A 3.6m tall person casts a shadow 7.25m long. At the same time of day a tree casts a shadow 67.2m long. How tall is the tree?
Thank you
1 solutions

Answer 137784 by user_dude2008(1861) About Me  on 2009-02-24 12:31:25 (Show Source):
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"A 3.6m tall person casts a shadow 7.25m long. At the same time of day a tree casts a shadow 67.2m long. How tall is the tree?"

3.6/7.25=x/62.7


0.497=x/62.7


0.497(62.7)=x

31.134=x

Answer: x=31.134

Tree is 31.134 meters


Rational-functions/183466: This question is from textbook
Given f(x)=2x^2-x-3 and g(x)=x+1 find f+g
1 solutions

Answer 137733 by user_dude2008(1861) About Me  on 2009-02-23 20:10:51 (Show Source):
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f(x)+g(x)=(2x^2-x-3)+(x+1)=2x^2-2


Ans: f(x)+g(x)=2x^2-2


Geometric_formulas/183430: Hello (:
I have a question, and I couldn't find the answer anywhere on the Internet. So, do you know what the formula for a nonrectangular parallelogram is?
The question asked was
16. Let a and represent the side lengths and h the height to a side of length b in a nonrectangular parallelogram whose area is A. What is the formula for the area of the parallelogram?
A: A = b X h
B: A = a X h
C: A = a X b
D: A = h X (a + b)
Thank you for your time
(:
1 solutions

Answer 137731 by user_dude2008(1861) About Me  on 2009-02-23 20:09:33 (Show Source):
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Area of a parallelogram:

A=b x h .... x is multiply


See this page: http://www.mathgoodies.com/lessons/vol1/area_parallelogram.html


Mixture_Word_Problems/183338: One thrid of a number is 5 less than half of the same number. What is the number?

1 solutions

Answer 137677 by user_dude2008(1861) About Me  on 2009-02-23 13:38:42 (Show Source):
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"One thrid of a number is 5 less than half of the same number" ----> (1/3)*x=(1/2)*x-5



(1/3)*x=(1/2)*x-5


(1/3)*x-(1/2)*x=-5


(2/6)*x-(3/6)*x=-5


(-1/6)x=-5


-x=-30

x=30

Answer: number is 30


Graphs/183331: I really don't get this!!
7.
The points (1,5), (4,5), and (1,0) represent three corners of a rectangle; find the coordinates of the fourth point.

thank you!!!
1 solutions

Answer 137676 by user_dude2008(1861) About Me  on 2009-02-23 13:35:42 (Show Source):
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Rectangles have points that share coordinates. So (1,5), (4,5) share y-coord and (1,5) and (1,0) share x-coord

So last point is (4,0) shares x-coord with (4,5) and shares y-coord with (1,0)


Word_Problems_With_Coins/183319: Two thirds of a number is 52. What is the number



1 solutions

Answer 137675 by user_dude2008(1861) About Me  on 2009-02-23 13:33:12 (Show Source):
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"Two thirds of a number is 52" -----> (2/3)*x=52


(2/3)*x=52

2x=156

x=78

Answer: number is 78


Word_Problems_With_Coins/183318: Nine more than a number is 90. What is the number


1 solutions

Answer 137673 by user_dude2008(1861) About Me  on 2009-02-23 13:27:46 (Show Source):
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"Nine more than a number is 90" ----> x+9=90

x+9=90

x+9-9=90-9

x=81 <----Answer



Exponents-negative-and-fractional/183317: Simplify the expression. The simplified expression should have no negative exponents.
(4x^2y/3xy^2)

1 solutions

Answer 137671 by user_dude2008(1861) About Me  on 2009-02-23 13:24:59 (Show Source):
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(4x^2y/3xy^2) = (4x)/(3y)


Linear-equations/183311: For f(x)=2x^2-5x+3 and g(x)=4x+7
Find f(x)+g(x)
1 solutions

Answer 137670 by user_dude2008(1861) About Me  on 2009-02-23 13:23:38 (Show Source):
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f(x)+g(x) = (2x^2-5x+3)+(4x+7)


f(x)+g(x) = 2x^2-x+10


Rate-of-work-word-problems/183362: For the function f(x) = x^2, find the average rate of change of the function over the interval [-4,-1]. (Hint: x1 = -4, x2 = -1)
1 solutions

Answer 137669 by user_dude2008(1861) About Me  on 2009-02-23 13:22:06 (Show Source):
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Avg rate change = ( f(x2)-f(x1) )/( x2 - x1)


Avg rate change = ( f(-1)-f(-4) )/( -2 + 4 )


Avg rate change = ( 1-4 )/( 2 )


Avg rate change = ( -3 )/( 2 )


Avg rate change = -3 / 2


Miscellaneous_Word_Problems/183371: This question is from textbook Survey of Math
use a proportion to determine the number of trout in a lake, a conservationist catches 112 trout, tags them and returns them to the lake. Later, 82 trout are caught, and 32 of them are found to be tagged. How many trout are in the lake?
1 solutions

Answer 137668 by user_dude2008(1861) About Me  on 2009-02-23 13:19:23 (Show Source):
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112/x=32/82


112=(32/82)x


112(82/32)=x


Answer: x=287...287 trout in lake


Exponential-and-logarithmic-functions/183363: please graph these>> thanks



y = 5x – 2


y = 3(2)^x

1 solutions

Answer 137667 by user_dude2008(1861) About Me  on 2009-02-23 13:17:05 (Show Source):
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Graph y = 5x – 2

+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+5x+-+2%29+

Graph y = 3(2)^x

+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+3%282%29%5Ex%29+


Exponential-and-logarithmic-functions/183364: please graph this:) thnks



y=(1/2)^x



y = –3x + 1




1 solutions

Answer 137666 by user_dude2008(1861) About Me  on 2009-02-23 13:15:43 (Show Source):
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Graph y=(1/2)^x

+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+%281%2F2%29%5Ex%29+


Graph y = –3x + 1

+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-3x+%2B+1%29+


Miscellaneous_Word_Problems/183302: This question is from textbook Fourth Edition Elementary and Intermediate Algebra
Find the counterexample to the statement: "The square of a number added to the sum of the number and five is a prime number. I started with the square root of 16, which I know is 4,but this is as far as I can get with setting this up....Help!!!
1 solutions

Answer 137633 by user_dude2008(1861) About Me  on 2009-02-22 23:16:31 (Show Source):
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"The square of a number added to the sum of the number and five" translates to x%5E2%2Bx%2B5

Counter Example: Let x=4

---> 4%5E2%2B4%2B5=16%2B4%2B5=20%2B5=25

Since 25 is not prime, this means that the statement is false


Expressions-with-variables/183172: suppose x^2+a^2x+a^2 factors into (x+a)^2 find the nonzero value of a
1 solutions

Answer 137543 by user_dude2008(1861) About Me  on 2009-02-22 14:48:42 (Show Source):
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x^2+a^2x+a^2= (x+a)^2

x^2+a^2x+a^2=x^2+2ax+a^2

a^2x=2ax

a^2=2a

a^2-2a=0

a=0 or a=2

Answer: a=2


Pythagorean-theorem/183175: square root of y4
1 solutions

Answer 137542 by user_dude2008(1861) About Me  on 2009-02-22 14:46:11 (Show Source):
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square root of y4 = y^2 .... y is nonnegative


Expressions-with-variables/183179: solve. The sum of 7 times a positive number and 1 is the same as the square of 1 more than the number.
1 solutions

Answer 137541 by user_dude2008(1861) About Me  on 2009-02-22 14:45:24 (Show Source):
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"The sum of 7 times a positive number and 1 is the same as the square of 1 more than the number" ------> 7x+1=(1+x)^2


Answer: x=0 or x=5


Mixture_Word_Problems/183187: 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. Soution: 3, only solution.
The equation is _____=0.
1 solutions

Answer 137540 by user_dude2008(1861) About Me  on 2009-02-22 14:44:07 (Show Source):
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The equation is x^2-6x+9=0


Exponential-and-logarithmic-functions/183180: You would like to have $6000 after 8 years. Find the amount you should deposit if the account pays 4.5% annual intrest compounded monthly?
1 solutions

Answer 137539 by user_dude2008(1861) About Me  on 2009-02-22 14:43:25 (Show Source):
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Answer: You should deposit about $4188.88 in the account


Expressions-with-variables/183176: write all factorable second degree trinomials whose first term is x^2 and whose last term is -16
1 solutions

Answer 137538 by user_dude2008(1861) About Me  on 2009-02-22 14:39:00 (Show Source):
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Answers:

x^2-16, x^2-15x-16, x^2+15x-16, x^2-6x-16, x^2+6x-16


Mixture_Word_Problems/183185: Write a quadratic equation having the given numbers as solutions. -6 and -2
The quadratic equation is _______=0 Type your answer in standard form. Type an expression using x as a variable.
1 solutions

Answer 137537 by user_dude2008(1861) About Me  on 2009-02-22 14:38:12 (Show Source):
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The quadratic equation is x^2+8x+12=0


Trigonometry-basics/183068: This question is from textbook
Find all solutions to the equation. Use a lower-case n to denote an arbitrary integer; separate your answers with commas; use the most compact expressions possible.
(cos(x) - 1) sin(x) = 0
Any help is greatly appreciated! I am really struggling just to start these problems. I received 0 + 2Pi as an answer for this but the system said it was wrong.
1 solutions

Answer 137441 by user_dude2008(1861) About Me  on 2009-02-21 18:09:55 (Show Source):
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Last post is incorrect. pi/2 and (3/2)pi is not a solution


Solutions are 0, 2pi, etc..


So solution set is x = 2pi*n where n is an integer


Note: I checked answer with calculator


Finance/183028: Jason comapred 2 brands of cooking oil sold in different size bottles
Brand A: 24 ounces for $1.68
Brand B: 32 ounces for $ 2.40
determine which brand has the betterr unit price

ok so i tried solving it by reducing 24 ounces to 3 and 1.68 dollars to .21 by dividing both numbers by 8
i did the same with 32 and 2.40
but if they were asking for the unit price, theyde probably want just 1 ounce and not 3 or 4. so thats where i need help. please help me
1 solutions

Answer 137397 by user_dude2008(1861) About Me  on 2009-02-21 14:59:10 (Show Source):
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Brand A Unit Price:

24 oz = 1.68 dollars

---> 24/24 oz = 1.68/24

---> 1 oz = 0.07 dollars



Brand B Unit Price:

32 oz = 2.40 dollars

---> 32/32 oz = 2.40/32

---> 1 oz = 0.075 dollars


Brand A has the lower unit price


Money_Word_Problems/182043: This question is from textbook saxon algebra 2
A savings account earns interest at an annual rate of 4%, compounded quarterly. If the account begins with a principal amount of $4000, what will its value be after 3 years?
A=P(1+ 0.04/4)^4(3)
A=$4502.32
Am I Correct?
1 solutions

Answer 136639 by user_dude2008(1861) About Me  on 2009-02-15 15:18:56 (Show Source):
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"A savings account earns interest at an annual rate of 4%, compounded quarterly. If the account begins with a principal amount of $4000, what will its value be after 3 years?"

-----------> P=4000, r=0.04, n=4, t=3

A=P(1+ r/n)^(n*t)


A=4000(1+ 0.04/4)^(4*3)


A=4000(1.01)^(12)


A=4,507.30


you will have $4,507.30 in the account


Problems-with-consecutive-odd-even-integers/182038: The numbers on sam's three raffle tickets are consecutive intergers. the sum of the numbers is 126. what are the numbers?
1 solutions

Answer 136634 by user_dude2008(1861) About Me  on 2009-02-15 14:48:34 (Show Source):
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Numbers: x, x+1, x+2

Sum: (x)+(x+1)+(x+2)=126
3x+3=126
3x=123
x=41


Answer: Numbers are 41, 42, and 43


Coordinate-system/182030: This question is from textbook College Algebra The Graphing Approach
This is a two part question:
The function f(x) is graphed points are (3,-1), (1,0), (0,3), (-2,4)
Graph y=-f(x-2)
I'm not sure but I have the new points as (-3,-1), (0,1), (0,3) (2,4)
Could you check this for me
The funtion f(x) is graphed points are (3,-1), (1,0), (0,3), (-2,4)
Graph y=f(2x)
I have a TI-84 Plus - I'm not sure how to use it very well and my instructor doesn't give much in the way of using it. So I'm kind of lost.
Thanks for your help

1 solutions

Answer 136632 by user_dude2008(1861) About Me  on 2009-02-15 13:55:12 (Show Source):
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Points are of form:

(x,y) or (x, f(x))


f(x-2) tells you to subtract 2 from each x to get new y, but you need to add 2 to undo this. So add 2 to each x (keep y the same)

New points:

(5,-1), (3,0), (2,3), (0,4)


-------------------------------------------------

f(2x) tells you to double each x. Need to take half of each x to undo this

New points:

(1.5, -1), (0.5, 0), (0, 3), (-1, 4)


Mixture_Word_Problems/181815: This question is from textbook Algebra for college students
Missing numbers. Find two real numbers that have a sum of 6 and a product of 4.
1 solutions

Answer 136408 by user_dude2008(1861) About Me  on 2009-02-13 13:17:33 (Show Source):
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product of 4---> x*y=4 ---> y=4/x
sum of 6 ----> x+y=6 ---> x+4/x=6 ---> (x^2+4)/x=6

----> x^2-6x+4=0

Solve for x

Use quadratic formula to get

x=3+sqrt(5) or x=3-sqrt(5)

---> y=4/(3+sqrt(5)) ----> y=3-sqrt(5)

---> y=4/(3-sqrt(5)) ----> y=3+sqrt(5)


Answer: Two numbers are 3+sqrt(5) and 3-sqrt(5)



Proportions/181777: This question is from textbook Algebra
The sum of the reciprocals of two consecutive odd integers is 8/15 (which is a fraction). What are the integers?
1 solutions

Answer 136407 by user_dude2008(1861) About Me  on 2009-02-13 13:08:42 (Show Source):
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1/x+1/(x+2)=8/15

(x+2+x)/(x(x+2))=8/15

30x+30=8x^2+16x

8x^2-14x-30=0

2(4x+5)(x-3)=0

4x+5=0 ---> x=-5/4=-1.25 (ignore, not an integer)
or
x-3=0 ----> x=3

1st Num: 3
2nd Num: 3+2=5

Two numbers: 3 and 5

Check:
1/3+1/5=5/15+3/15=8/15


Equations/181813: Factoring difference of cube
27a^3 - 343b^3


1 solutions

Answer 136406 by user_dude2008(1861) About Me  on 2009-02-13 12:59:39 (Show Source):
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27a^3 - 343b^3 = (3a-7b)(9a^2+21ab+49b^2) ... difference of cubes


Polynomials-and-rational-expressions/180968: Simply the expression:
2n^2y^19n^11y^5 2
the 2 at the end does not mean to square the expression to the second power! It is a number without variables or exponents
a) 4n^13y^24
b) no correct answer
c) 2n^30y^7
d) 4y^13n^24
how did you get the answer
1 solutions

Answer 135688 by user_dude2008(1861) About Me  on 2009-02-08 23:36:57 (Show Source):


Probability-and-statistics/180897: How can I proceed to solve this problem? Thank you.
In establishing warranties on HDTV sets, the manufacturer wants to set the limites so that few will need repair at manufacturer expense. On the other hand, the warranty period mst be long enough to make the purchase attractive to the buyer. For a new HDTV the mean number of months until repairs are needed is 36.84 with a standard deviation of 3.34 months. Where should the warranty limits be set so that only 10 percent of the HDTVs need repairs at the manufacturer's expensive?

1 solutions

Answer 135623 by user_dude2008(1861) About Me  on 2009-02-08 14:02:52 (Show Source):
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See this other solution (same problem)

http://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.175302.html