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stanbon answered: 57904 problems
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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239 , 57240..57269 , 57270..57299 , 57300..57329 , 57330..57359 , 57360..57389 , 57390..57419 , 57420..57449 , 57450..57479 , 57480..57509 , 57510..57539 , 57540..57569 , 57570..57599 , 57600..57629 , 57630..57659 , 57660..57689 , 57690..57719 , 57720..57749 , 57750..57779 , 57780..57809 , 57810..57839 , 57840..57869 , 57870..57899 , 57900..57929, >>NextLength-and-distance/210057: Given the coordinate of one endpoint of segment AB and its midpoint M, find the coordinates of the other endpoint.
A(0,9), M(2,5)
1 solutions
Answer 158749 by stanbon(57977)   on 2009-09-01 10:29:17 (Show Source):
You can put this solution on YOUR website!Given the coordinate of one endpoint of segment AB and its midpoint M, find the coordinates of the other endpoint.
A(0,9), M(2,5)
-----------------------
Let the other end point be (x,y)
-----------------
The midpoint coordinates are the average of the corresponding
end point coordinates.
-----------------------
(x+0)/2 = 2
x = 4
----
(y+9)/2 = 5
y+9 = 10
y = 1
-----------------
The other end point is (4,1)
====================================
Cheers,
Stan H.
Reply to stanbon@comcast.net
|
Expressions-with-variables/210020: can you help me I dont get this if there are 1024 bytes a kilobyte write an expression that describes the number of bytes in a computer chip with n kilobytes
1 solutions
Answer 158727 by stanbon(57977) on 2009-08-31 23:51:40 (Show Source):
You can put this solution on YOUR website!can you help me I dont get this if there are 1024 bytes a kilobyte write an expression that describes the number of bytes in a computer chip with n kilobytes
------------------------
1 kilobyte = 1024 bytes
Multiply both sides by n and you get:
n kilobytes = 1024n bytes
===============================
Cheers,
Stan H.
|
Functions/210009: This question is from textbook Algebra 1
Write a rule for the function
x 0 1 2 3
y 0 .5 2 4.5
1 solutions
Answer 158726 by stanbon(57977) on 2009-08-31 23:27:56 (Show Source):
You can put this solution on YOUR website!Write a rule for the function
x 0 1 2 3
y 0 .5 2 4.5
---------------------
There is no common difference in the y-values so it is not linear.
---------------------
There is no common ratio in the y-values so it is not exponential.
-----------------------
Try quadratic:
Solution y = (1/2)x^2
=============================
Cheers,
Stan H.
|
Numbers_Word_Problems/210014: the sum of two integers is ten. three times the larger integer is three less than eight times the smaller integer
1 solutions
Answer 158725 by stanbon(57977) on 2009-08-31 23:18:16 (Show Source):
You can put this solution on YOUR website!the sum of two integers is ten. three times the larger integer is three less than eight times the smaller integer
---------------------
Let the numbers be a and b:
Equations:
a + b = 10
3*a = 8*b-3
------------------
Rearrange to solve for "b":
a = 10-b
3(10-b) = 8b - 3
30-3b = 8b -3
11b = 33
b = 3
Therefore a = 10-3 = 7
=============================
Cheers,
Stan H.
Reply to stanbon@comcast.net
|
Quadratic_Equations/210011: High concentrations of Carbon Monoxide (CO) can cause coma and possible death. The time required for a person to reach a COHb level capable of causing a coma can be approximated by the quadratic model. T=.0002x^2 - .316x + 127.9, where T is the exposure time in hours necessary to reach this level and 500<= x <=800 is the amount of carbon monoxide present in the air in parts per million (ppm).
Estimate the approximate concentration of (CO) necessary to produce a coma in 4 hrs?.
1 solutions
Answer 158722 by stanbon(57977) on 2009-08-31 23:03:12 (Show Source):
You can put this solution on YOUR website!T=.0002x^2 - .316x + 127.9, where T is the exposure time in hours necessary to reach this level and 500<= x <=800 is the amount of carbon monoxide present in the air in parts per million (ppm).
Estimate the approximate concentration of (CO) necessary to produce a coma in
4 hrs
-------------
4 = 0.0002x^2 - .316x + 127.9
-------------
0.0002x^2 - .316x + 123.9 = 0
---
Solve using the Quadratic Formula:
x = [0.316 +- sqrt(0.316^2 - 4*0.0002*123.9)]/[2(0.0002)]
---
x = [0.316 +- sqrt(0.0007360]/0.0004
x = [0.316+-0.027129]/0.0004
x = 857.82 ppm or x = 722.18 ppm
=======================================
Cheers,
Stan H.
Reply to stanbon@comcast.net
=======================================
|
Numbers_Word_Problems/210015: what number must be added to the numerator of 3/10 to produce the fraction 4/5
1 solutions
Answer 158720 by stanbon(57977) on 2009-08-31 22:52:20 (Show Source):
You can put this solution on YOUR website!what number must be added to the numerator of 3/10 to produce the fraction 4/5
----------------
Equation:
(3+x)/10 = 4/5
Cross-multiply and solve for "x":
---
5(3+x) = 40
3+x = 8
x = 5
==============
Cheers,
Stan H.
Reply to stanbon@comcast.net
|
Radicals/210004: This question is from textbook Intro Alegbra
Rationalize the Denominator for this:
4-sqrt(3)/6+sqrt(y)
I don't even know how to begin this. Could you help?
1 solutions
Answer 158714 by stanbon(57977) on 2009-08-31 22:23:04 (Show Source):
You can put this solution on YOUR website!Rationalize the Denominator for this:
4-sqrt(3)/6+sqrt(y)
------------------
Multiply numerator and denominator by (6-sqrt(y)) to get:
----
[(4-sqrt(3)(6-sqrt(y)]/[(6+sqrt(y))(6-sqrt(y)}
---
= [24 -4sqrt(y)-6sqrt(3)+sqrt(3y)]/[36-y]
============================================
Cheers,
Stan H.
Reply to stanbon@comcast.net
|
Inequalities/209999: write (and solve) and inequality to find three consecutive odd integers with a sum between 64 and 74.
1 solutions
Answer 158713 by stanbon(57977) on 2009-08-31 22:16:12 (Show Source):
You can put this solution on YOUR website!write (and solve) and inequality to find three consecutive odd integers with a sum between 64 and 74.
------------------------------------
1st: 2x-1
2nd: 2x+1
3rd: 2x+3
-------------------
Inequality:
64 < 2x-1+2x+1+2x+3 < 74
64 < 6x+3 < 74
61 < 6x < 71
61/6 < x < 71/6
10 1/6 < x < 11 5/6
Then x = 11
----------------------
1st = 2*11-1 = 21
2nd = 23
3rd = 25
---
sum = 21+23+25 = 69
==========================
Cheers,
Stan H.
reply to stanbon@comcast.net
|
Graphs/209941: Without graphing, find the vertex. The answer is either A,B,C,or D.
f(x) = -15/2 (x - 15)2 + 2
I came up with Vertex: (-450x,0, but this is the wrong answer.
A)(0, 2)
B)(15, -15)
C)(15, 2)
D)(2, 0)
1 solutions
Answer 158705 by stanbon(57977) on 2009-08-31 21:59:43 (Show Source):
You can put this solution on YOUR website!Without graphing, find the vertex. The answer is either A,B,C,or D.
f(x) = (-15/2) (x - 15)^2 + 2
The form is y = a(x-h)^2+k
where the vertex is at (h,k)
Your vertex is (15,2)
--------------------------
Cheers,
Stan H.
Reply to stanbon@comcast.net
A)(0, 2)
B)(15, -15)
C)(15, 2)
D)(2, 0)
|
Numeric_Fractions/209980: This question is from textbook
the sum of 3 numbers is 120, the 2nd of the number is 8 less than the first and third is 4 more than the first
1 solutions
Answer 158682 by stanbon(57977) on 2009-08-31 20:40:27 (Show Source):
You can put this solution on YOUR website! the sum of 3 numbers is 120, the 2nd of the number is 8 less than the first and third is 4 more than the first
----
Let the 1st be "x"
2nd is "x-8"
3rd is "x+4"
======================
Equation:
x + x-8 + x+4 = 120
3x -4 = 120
3x = 124
x = 41 1/3
------------------
x-8 = 33 1/3
--------------------
x+4 = 45 1/3
====================
Cheers,
Stan H.
|
Probability-and-statistics/209977: you have 2 dice(number cubes) that you roll simultaneosly. what is the probability that you get a number larger than four on one die and a six on the other?
1 solutions
Answer 158680 by stanbon(57977) on 2009-08-31 20:35:40 (Show Source):
You can put this solution on YOUR website!you have 2 dice(number cubes) that you roll simultaneosly. what is the probability that you get a number larger than four on one die and a six on the other?
------------------
The sample space for throwing two dice has 36 entries.
---------------
The entries that satisfy the condition you have stated are:
(5,6),(6,6), and (6,5)
So the probability of getting that result is 3/36 = 1/12
===========================================================
Cheers,
Stan H.
Reply to stanbon@comcast.net
|
Sequences-and-series/209963: it says find Sn for each arithmetic series described. a1=20, an=112, d=4. how do i find it ?
1 solutions
Answer 158677 by stanbon(57977) on 2009-08-31 20:22:58 (Show Source):
You can put this solution on YOUR website!it says find Sn for each arithmetic series described. a1=20, an=112, d=4. how do i find it ?
-------------------------
S(n) is the sum of n terms of the series.
The formula is S(n) = (n/2)(a(1)+a(n))
-----------------------------------
You need to find "n"
a(n) = a(1)+(n-1)d
112 = 20 + (n-1)*4
92 = (n-1)4
n-1 = 23
n = 24
---
So you are looking for the sum of the 1st 24 terms of the series.
---
Use the formula to get: S(24) = (24/2)(20+112) = 12*132 = 1584
====================================================================
Cheers,
Stan H.
Reply to stanbon@comcast.net
|
Geometry_Word_Problems/209969: The perimeter of a triangle is 17. One side is 1 inch shorter than the longest and 1 inch longer than the shortest. What are the dimensions?
1 solutions
Answer 158675 by stanbon(57977) on 2009-08-31 20:14:30 (Show Source):
You can put this solution on YOUR website! The perimeter of a triangle is 17. One side is 1 inch shorter than the longest and 1 inch longer than the shortest. What are the dimensions?
-----------------------------------------
Let the longest be "x".
A second side is "x-1"
The shortest side is "x-2"
--------------------------------
Equation:
x + x-1 + x-2 = 17
3x -3 = 17
3x = 20
x = 20/3 inches (longest side)
x-1 = 17/3 inches (2nd side)
x-2 = 14/3 inches (shortest side
====================================
Cheers,
Stan H.
Reply to stanbon@comcast.net
|
Probability-and-statistics/209964: This question is from textbook Algebra I
You can win concert tickets from a radio station if you are the first person to call when the song of the day is played, or if you are the first person to correctly answer the trivia question. The song of the day is played between 5:00 and 5:30 pm. The trivia question is asked between 5:15 and 5:45 pm. You begin listening to the radio station at 5:20. Find the probability that you missed the song of the day and the trivia question.
1 solutions
Answer 158671 by stanbon(57977) on 2009-08-31 20:05:26 (Show Source):
You can put this solution on YOUR website!You can win concert tickets from a radio station if you are the first person to call when the song of the day is played, or if you are the first person to correctly answer the trivia question. The song of the day is played between 5:00 and 5:30 pm. The trivia question is asked between 5:15 and 5:45 pm. You begin listening to the radio station at 5:20. Find the probability that you missed the song of the day and the trivia question.
------------------------------------------------------
30 minutes for song of the day
30 minutes for trivia question.
15 minutes when they both might occur
45 minutes during which one or the other occurred
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time you listened when either happened is 25 minutes
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Prob you heard either one = (25/45)
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Prob you missed both = 1-(25/45) = 1-(5/9) = 4/9
====================================================
Cheers,
Stan H.
Reply to stanbon@comcast.net
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Graphs/209958: This question is from textbook Moving straight ahead Linear RelationShips
Im totaly lost on my 8th grade math homework. It says *For each equations in Exercises 18-21, give two values for x for which the value of y is negative.*
For 18. y=-2x-5
19. y= -4
20. y=2x-5
21. y=3/2x-1/4
1 solutions
Answer 158666 by stanbon(57977) on 2009-08-31 19:57:17 (Show Source):
You can put this solution on YOUR website!Im totaly lost on my 8th grade math homework. It says *For each equations in Exercises 18-21, give two values for x for which the value of y is negative.*
For
18. y=-2x-5
If x = 0, y = -2*0-5 = 0-5 = -5
If x = 1, y = -2*1-5 = -2-5 = -7
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19. y= -4
If x = 0,y = -4
If x = 1, y = -4
---------------------------
20. y=2x-5
If x = 0, y = 2*0-5 = -5
If x = 1, y = 2*1-5 = -3
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21. y=(3/2)x-(1/4)
If x = 0, y = (3/2)*0 -(1/4) = -1/4
If x = -1, y = (3/2)*-1-(1/4) = (-6/4)-(1/4) = -7/4
=======================================================
Cheers,
Stan H.
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Functions/209957: Find the domain of the function.
h(x)=10/(x squared - 2x)
I got "all real numbers except x=2 but I don think it's right.
1 solutions
Answer 158664 by stanbon(57977) on 2009-08-31 19:50:18 (Show Source):
You can put this solution on YOUR website! Find the domain of the function.
h(x)=10/(x squared - 2x)
I got "all real numbers except x=2 but I don think it's right.
------------------------
Factor the denominator:
x^2-2x = 0
x(x-2) = 0
x = 0 or x = 2
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The denominator would be zero if x were 0 or if x were 2.
So those values are not allowed in the domain.
----
Domain is All Real Numbers except x= 0 and x= 2
========================================================
Cheers,
Stan H.
Reply to stanbon@ comcast.net
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Linear-equations/209952: Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for the specified variable.
Walt made an extra $5000 last year from a part-time job. He invested part of the money at 6% and the rest at 10%. He made a total of $420 in interest. How much was invested at 10%?
1 solutions
Answer 158662 by stanbon(57977) on 2009-08-31 19:47:00 (Show Source):
You can put this solution on YOUR website!Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for the specified variable.
Walt made an extra $5000 last year from a part-time job. He invested part of the money at 6% and the rest at 10%. He made a total of $420 in interest. How much was invested at 10%?
-----------------
Quantity Equation: s + t = 5000
Interest Equation:0.06s + 0.10t = 420
---------------------------------------------
Modify the equations for elimination:
Multiply thru the 1st by 6 ; Multiply thru the 2nd by 100
6s + 6t = 6*5000
6s + 10t = 42000
-----------------------
Subtract the 1st equation from the 2nd and solve for "t"
4t = 12000
t = $3000 (amount invested at 10%)
==============================================
Cheers,
Stan H.
Reply to stanbon@comcast.net
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Surface-area/209947: a swimming pool is 50 m long and 2.5 m deep and holds 2500m^3 of water. What is the width of the pool? My son and I set the problem up as follows
L X W X H
(50 X W) X 2.5=2500m^3
please help!
1 solutions
Answer 158661 by stanbon(57977) on 2009-08-31 19:40:16 (Show Source):
You can put this solution on YOUR website!a swimming pool is 50 m long and 2.5 m deep and holds 2500m^3 of water. What is the width of the pool? My son and I set the problem up as follows
L X W X H
(50 X W) X 2.5=2500m^3
----------------
Good so far:
Now isolate the W after you simplify the left side:
125*W = 2500
Now divide both sides by 125 to get:
W = 20 meters (that is the width)
===========================
Cheers,
Stan H.
Reply to stanbon@comcast.net
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Graphs/209945: Without graphing, find the line of symmetry. The answer is either A,B,C,or D. I
got Vertex: (-4,9)
f(x) = -(x + 4)2 + 9
A)x = 9
B)x = 16
C)x = 5
D)x = -4
1 solutions
Answer 158660 by stanbon(57977) on 2009-08-31 19:35:59 (Show Source):
You can put this solution on YOUR website!Without graphing, find the line of symmetry. The answer is either A,B,C,or D. I
got Vertex: (-4,9)
f(x) = -(x + 4)2 + 9
---
Since the line of symmetry passes thru the vertex
the line of symmetry must be x = -4
---------------------------------------------
Cheers,
Stan H.
Reply to stanbon@comcast.net
A)x = 9
B)x = 16
C)x = 5
D)x = -4
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Probability-and-statistics/209866: A committee of three is selected at random from a set consisting of five Democrats, eight Republicans,and two Independents.
(a) What is the probability that the committee consists of all Democrats?
(b) What is the probability that the committee consists of no Republicans?
1 solutions
Answer 158637 by stanbon(57977) on 2009-08-31 15:59:44 (Show Source):
You can put this solution on YOUR website!A committee of three is selected at random from a set consisting of five Democrats, eight Republicans,and two Independents.
(a) What is the probability that the committee consists of all Democrats?
# of ways to select 3 Democrats: 5C3 = 10
# of ways to pick 3 from the group: 15C3 = 455
---
P(pick 3 Demoncrats) = 10/455
============================================
(b) What is the probability that the committee consists of no Republicans?
# of ways to pick no Republicans: 7C3
# of ways to pick 3 from the group: 15C3
P(pick 3 that are not Republicans) = 7C3/15C3 = 35/455
==========================================================
Cheers,
Stan H.
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Quadratic_Equations/209862: I need to solve for x using the quadratic equation. The problem is... "(5/(w^2))-(10/w)+2=0. I need to solve for x, I need more than an answer, I need the steps.
1 solutions
Answer 158635 by stanbon(57977) on 2009-08-31 15:54:12 (Show Source):
You can put this solution on YOUR website!(5/(w^2))-(10/w)+2=0
Multiply thru by w^2 to get:
2w^2 - 10w + 5 = 0
---
w = [10 +-sqrt(100-4*2*5)]/4
---
w = [10 +- sqrt(60)]/4
---
w = [10 +- 2sqrt(15)]/4
Simplify to see two answers
----------------------------
Cheers,
Stan H.
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Human-and-algebraic-language/209857: I have to show the five steps...
-> Two brothers are saving money to buy tickets to a concert. Their combined savings is $55. One brother has $15 more than the other. How much has each saved?
1 solutions
Answer 158632 by stanbon(57977) on 2009-08-31 15:48:44 (Show Source):
You can put this solution on YOUR website!Two brothers are saving money to buy tickets to a concert. Their combined savings is $55. One brother has $15 more than the other. How much has each saved?
-------------------------------
Let the two brothers savings be a and b.
a + b = 55
a = b + 15
-------
Substitute for "a" to solve for "b":
b+15 + b = 55
2b = 40
b = 20 (amt saved by b)
------------------------------
But a + b = 55, so a = 35
==================================
Cheers,
Stan H.
Reply to stanbon@comcast.net
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Reduction-of-unit-multipliers/209852: This question is from textbook Algebra 1
The question says tell which rate is greater.
1 1/4 miles in 2 minutes and 4 seconds,
OR
1 3/16 miles in 1 minute and 55 seconds...
HOW WOUD YOU SOLVE THIS?!
(p.s there was no edition number. All it says is TEXAS EDITION)
1 solutions
Answer 158630 by stanbon(57977) on 2009-08-31 15:42:08 (Show Source):
You can put this solution on YOUR website!The question says tell which rate is greater.
1 1/4 miles in 2 minutes and 4 seconds,
(5/4) miles in 124 seconds
(5/4)/124 miles in 1 second
0.01008 miles in 1 secnd
------------------------------------
OR
1 3/16 miles in 1 minute and 55 seconds...
(19/16) miles in 115 seconds
(19/16)/115 miles in 1 second
0.01033 miles in 1 second
--------------------------------
So1 3/16 miles in 1 min and 55 seconds is faster
=======================================================
Cheers,
Stan H.
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Graphs/209749: I'm helping my son with his homework. He has to also graph his answer on a number line. The question is
y is greater than or equal to -1 or y is greater than or equal to 3
1 solutions
Answer 158563 by stanbon(57977) on 2009-08-30 22:20:08 (Show Source):
You can put this solution on YOUR website!I'm helping my son with his homework. He has to also graph his answer on a number line. The question is
y is greater than or equal to -1 or y is greater than or equal to 3
-------------------------------------------------
Draw a number line and label it "y".
Pick a point and label it -1.
Pick a point to the right of -1 and label it 3.
-----------------------------------------------------
Put a solid circle at -1
Put a solid circle at 3
-----------------------------
Draw a line segment joining the two solid circles.
=======================================================
The circles and the segment comprise the graph you want.
=======================================================
Best wishes,
Stan H.
Reply to stanbon@comcast.net
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Travel_Word_Problems/209758: I could really use some help solving the following:
Marsha traveled 400 miles with an average speed of x miles per hour. Find a rational function T(x) that giver her travel time in hours.
Thanks in advance
1 solutions
Answer 158560 by stanbon(57977) on 2009-08-30 22:08:03 (Show Source):
You can put this solution on YOUR website!I could really use some help solving the following:
Marsha traveled 400 miles with an average speed of x miles per hour. Find a rational function T(x) that giver her travel time in hours.
---------------------
time = distance/rate
T(x) = 400 miles/x mph
T(x) = (400/x)hours
==========================
Cheers,
Stan H.
Reply to stanbon@comcast.net
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Sequences-and-series/209751: Please Help.New Student.
Need Tonight For Homework Due In The Morning.
Question:
a.Write the first six terms of the sequence that starts with 1, and for which the difference between consecutive terms is first 2, and then 3,5, and 6.
b.Evaluate n squared + n /2 for n=1,2,3,4,5 and 6.Compare the sequence you get with your answer for part a.
c.Draw a diagram to represent n squared +n/2For n=5
1 solutions
Answer 158558 by stanbon(57977) on 2009-08-30 21:37:28 (Show Source):
You can put this solution on YOUR website!.Write the first six terms of the sequence that starts with 1, and for which the difference between consecutive terms is first 2, and then 3,4,5, and 6.
---
1,3,6,10,15,21
==================================
b.Evaluate (n^2+ n) /2 for n=1,2,3,4,5 and 6.
Compare the sequence you get with your answer for part a.
If n = 1 you get (1+1)/2 = 1
If n = 2 you get (4+2)/2 = 3
If n = 3 you get (9+3)/2 = 6
etc.
===========================================================
c.Draw a diagram to represent (n squared +n)/2 for n=5.
(25+5)/2 = 15
=============================================================
Cheers,
Stan H.
Reply to stanbon@comcast.net
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