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Recent problems solved by 'stanbon'
stanbon answered: 57867 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, >>NextMatrices-and-determiminant/73188: Help! I don't know if I'm doing this right.
Use the matrix method.
x+y-z = -9
2x-y-2z=-3
x+2y+3z=14
I'm confused I seen one way adding R1+R3 to start and another saying interchange row 1 and 3????? This is what I have done:
R1 1 1 -1 | -9
R2 2 -1 -2 | -3
R3 1 2 3 | 14
R1 1 2 3 | 14
R2 2 -1 -2 | -3
R3 1 1 -1 | -9
R1 1 2 3 | 14
R2 0 -5 -8 |-31
R3 1 1 -1 | -9
R1 1 2 3 | 14
R2 0 -5 -8 |-31
R3 0 -1 -4 |-23
R1 1 2 3 | 14
R2 0 1 8/5 | 31/5
R3 0 -1 -4 |-23
??????????????????????????????????
1 solutions
Answer 52436 by stanbon(57940)   on 2007-03-04 18:37:38 (Show Source):
You can put this solution on YOUR website!Use the matrix method.
x+y-z = -9
2x-y-2z=-3
x+2y+3z=14
I'm confused I seen one way adding R1+R3 to start and another saying interchange row 1 and 3????? This is what I have done:
R1 1 1 -1 | -9
R2 2 -1 -2 | -3
R3 1 2 3 | 14
OK
-------------------------
R1 1 2 3 | 14
R2 2 -1 -2 | -3
R3 1 1 -1 | -9
ok
---------------------
R1 1 2 3 | 14
R2 0 -5 -8 |-31
R3 1 1 -1 | -9
OK
------------------
R1 1 2 3 | 14
R2 0 -5 -8 |-31
R3 0 -1 -4 |-23
OK
-------------------
Multiply thru R3 by -1 and interchange R2 and R3
R1 1 2 3 | 14
R2 0 1 4 | 23
R3 0 -5 -8 |-31
--------------------
Multiply R2 by 5 and add it to R3 to get
R1 1 2 3 | 14
R2 0 1 4 | 23
R3 0 0 12 | 84
OK
-----------------------
Divide R3 by 12 to solve for "z"
z=7
--------
Substitute z=7 into R2 to solve for "y"
y +4*7 =23
y=-5
-------
Substitute y=-5 and z=7 into R1 to solve for "x"
x + 2*-5 +3*7 = 14
x -10+21 = 14
x = 3
---------
Solution:
x=3 ; y=-5 ; z = 7
==============
Cheers,
Stan H.
--------
??????????????????????????????????
|
expressions/73186: Could I please get some help with problem solving an inequality expressing.
Question: A electronic store wants to order at least 3 times as many DVD players as VHS players. Write an inequality expressing this relationship.
x+ 3x is this correct?
1 solutions
Answer 52432 by stanbon(57940) on 2007-03-04 17:14:25 (Show Source):
You can put this solution on YOUR website!Question: A electronic store wants to order at least 3 times as many DVD players as VHS players. Write an inequality expressing this relationship.
Let the number of VHS players be "x".
Let the number of DVD players be "y".
INEQUALITY:
y >= 3x
-------
Cheers,
Stan H.
|
Matrices-and-determiminant/73181: Solve by either elimination, substitution or Crammer's Rule.
I am not sure how to do this problem since there is more than one # on the right side of the =. Please help.
y=10-2z-x
4x-y=2
-5+5z=4x+3y
1 solutions
Answer 52430 by stanbon(57940) on 2007-03-04 17:02:39 (Show Source):
You can put this solution on YOUR website!Rearrange the equations in the form ax+by+cz = d
y=10-2z-x
4x-y=2
-5+5z=4x+3y
-------------
x+y+2z = 10
4x-y+0z = 2
4x+3y-5z=-5
----------------
The "coefficient" matrix has determinant (5+24+0)-(-8+0-20)=57
The "x" matrix determinant is 62
The "y" matrix determinant is 134
The "z" matrix determinant is 187
---------
x=62/57
y=134/57
z=187/57
-----------
Using matrix multiplication (A^-1B) I get the same answer.
Cheer,
Stan H.
|
Rectangles/73176: A rectangle is placed under the parabolic arch by f(x)=27-3x^2 by using a point (x,y) on the parabola,as shown on the figure.Write a formula for the function A(x) that gives the area of the rectangle as a function of the x-coordinate of the point chosen.
answers are:
a.f(x)=6(27-3x^2)
b.f(x)=27x-3x^3
c.f(x)=54x-6x^3
d.f(x)=162x-6x^3
1 solutions
Answer 52429 by stanbon(57940) on 2007-03-04 16:45:30 (Show Source):
You can put this solution on YOUR website!A rectangle is placed under the parabolic arch by f(x)=27-3x^2 by using a point (x,y) on the parabola,as shown on the figure.Write a formula for the function A(x) that gives the area of the rectangle as a function of the x-coordinate of the point chosen.
answers are:
a.f(x)=6(27-3x^2)
b.f(x)=27x-3x^3
c.f(x)=54x-6x^3
d.f(x)=162x-6x^3
-----------------
I don't have the figure but you do.
The base of the rectangle is 2x because it goes x to the right of the y axis
and x to the left of the y axis.
The height of the rectangle is y which equals 27-3x^2
--------
The Area is base*height
A(x) = (2x)(27-3x^2)
A(x) = 54x -6x^3 which is answer "c".
cheers,
Stan H.
|
Linear-equations/73179: Find an equation for line with slope 1/2 and y-intercept 3
possible answers
a.x/2-y=3
b.-x+2y=6
c.x+2y=6
d.2x-y=3
1 solutions
Answer 52427 by stanbon(57940) on 2007-03-04 16:40:07 (Show Source):
You can put this solution on YOUR website!Find an equation for line with slope 1/2 and y-intercept 3
possible answers
a.x/2-y=3
b.-x+2y=6
c.x+2y=6
d.2x-y=3
----------
The form is y=mx+b where m=1/2 and b = 3
y=(1/2)x+3
Multiply thru by 2 to get:
2y=x+6
Substract x from both sides to get:
-x+2y=6 which is answer "b"
Cheers,
Stan H.
|
Graphs/73173: I am not sure how to start the equation for this word problem, can you please help?
Question: A consultant traveled 6 hours to attend a meeting. The return trip took only 5 hours because the speed was 10 miles per hour faster. What was the consultant's speed each way?
1 solutions
Answer 52423 by stanbon(57940) on 2007-03-04 16:18:08 (Show Source):
You can put this solution on YOUR website!A consultant traveled 6 hours to attend a meeting. The return trip took only 5 hours because the speed was 10 miles per hour faster. What was the consultant's speed each way?
----------------
"Going" DATA:
Time = 6 hrs ; Rate = x mph ; Distance = rt=6x miles
---------
"Return" DATA:
Time = 5 hrs ; Rate = (x+10) mph : Distance = rt = 5(x+10) miles
------------
EQUATION:
Going distance = Return distance
6x = 5(x+10)
x=50 mph (Going speed)
x+10 = 60 mph (Return speed)
=====================
Cheers,
Stan H.
|
Functions/73175: If c varies inversely as d, and if c=12 when d=1/4, find c when d=9?
1 solutions
Answer 52422 by stanbon(57940) on 2007-03-04 16:11:57 (Show Source):
You can put this solution on YOUR website!If c varies inversely as d, and if c=12 when d=1/4, find c when d=9?
--------------
c = k/d where "k" is the constant of variation.
Find "k":
12 = k/(1/4)
12=4k
k=3
---------------
EQUATION:
c = 3/d
----------------
Now find c if d =
If d= 9 then
c = 3/9
Then c=1/3
---------------
Cheers,
Stan H.
|
Mixture_Word_Problems/73141: How many kg of water must be evaporated from 50kg of a 10% salt solution to obtain a 15% salt solution?
This was given to me out of a GEPA math tutorial book.
1 solutions
Answer 52392 by stanbon(57940) on 2007-03-04 09:22:06 (Show Source):
You can put this solution on YOUR website!How many kg of water must be evaporated from 50kg of a 10% salt solution to obtain a 15% salt solution?
-----------
Amt of water in 10% solution = 0.90*50kg = 45kg
---------
Let amt of water evaporated be "x" kg.
--------------
Amt of water in 15% solution = 0.85(50-x)=(42.5-0.85x)kg
--------------
EQUATION:
water - water = water
45 - x= 42.5-0.85x
2.5=0.15x
x= 6 2/3 kg (amt of water that must be evaporated)
==================
Cheers,
Stan H.
|
Systems-of-equations/73140: This question is from textbook
find the maximum and minimum values of
T= 6x + 10y subject to
x+y < or = to 10
5x + 10y > or = 50
x > or = 2
y > or = 0
Can you possibly help me with this?
Thank You
1 solutions
Answer 52390 by stanbon(57940) on 2007-03-04 09:08:01 (Show Source):
You can put this solution on YOUR website!find the maximum and minimum values of
T= 6x + 10y subject to
x+y < or = to 10
5x + 10y > or = 50
x > or = 2
y > or = 0
----------------
T = 6x+10y is the object function to be evaluated.
Solve the next two for y:
y<=-x+10
y>=(-1/2)x+5
x>=2 defines the domain for the object function
y>=0 defind the range for the object function
------------
Draw a coordinate system.
Draw a vertical line at x=2
Shade the area to the right of x=2 where y>0
Graph the line y=(-1/2)x+5 (shade the area above the line)
Graph the line y=-x+10 (shade the area below the line)
Find the coordinates of the points of intersection of the three lines: x=2;
y=-x+10; y=(-1/2)x+5
They are (2,4), (2,8), and (10,0)
----------
Evaluate T=6x+10y for these three points:
If (2,4), then T=6*2+10*4 = 52 (minimum point)
If (2,8), then T=6*2+10*8 = 92 (maximum point)
If (10,0), thenT=6*10+10*0 = 60
================
Cheers,
Stan H.
|
Matrices-and-determiminant/73125: can you help me write this system as a matrix equation and solve using an inverse matrix please?...
s + p + c = 40
c = 4p
s = p - 2
1 solutions
Answer 52389 by stanbon(57940) on 2007-03-04 08:52:49 (Show Source):
You can put this solution on YOUR website!solve using an inverse matrix please?...
s + p + c = 40
c = 4p
s = p - 2
----------
Rearange equations #2 and #3 to get the variables in the same column:
s + p + c = 40
0 +4p - c = 0
1 - p + 0 =-2
----------------
Enter the coefficient matrix into your calculator as matrix A:
1st Row: 1 ; 1; 1
2nd Row: 0 ; 4; -1
3rd Row: 1 ;-1; 0
-------------
Enter the constants in as a 3x1 matrix called B:
1st Row: 40
2nd Row: 0
3rd Row: -2
--------------
Bring A to you home screen
Hit the "inverse" button
Hit the "multiply" button
Bring B to your home screen to the right of A^-1
Hit "enter"
You should see a 3x1 array with:
1st Row : 5 (this is s)
2nd Row : 7 (this is p)
3rd Row : 28 (this is c)
===============
Cheers,
Stan H.
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Equations/73139: (a) x+1/2=x+2/3
(b) 2x+3/x=2/3
(c) 3/x=2/1-x
(d) 2-x/3=2x-1/5
(e) 2x-3/4=2/3x
(f) x-1/2=2-x/3
(g) 1-k/3=k+2/2
(h) 2a-3/4=3-a/3
(i) 3/4=t/t+2
(j) 3/4=t/t+2
1 solutions
Answer 52388 by stanbon(57940) on 2007-03-04 08:39:33 (Show Source):
You can put this solution on YOUR website!(a) x+1/2=x+2/3
Subtract x from both sides to get:
1/2 = 2/3
Therefore no solution
----------------
(b) (2x+3)/x=2/3
Cross multiply:
6x+9 = 3x-6
3x=-15
x=-5
-------------
(c) 3/x=2/(1-x)
Cross multiply
3-3x=2x
3=5x
x=3/5
---------
(d) (2-x)/3=(2x-1)/5
Cross multiply
10-5x=10x-3
15x=13
x=13/15
----------
etc.
The remaining problems are worked similarly.
Cheers,
Stan H.
(e) (2x-3)/4=2/3x
(f) (x-1)/2=(2-x)/3
(g) (1-k)/3=(k+2)/2
(h) (2a-3)/4=(3-a)/3
(i) 3/4=t/(t+2)
(j) 3/4=t/(t+2)
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Mixture_Word_Problems/73130: This question is from textbook Elementary Statistics
Decide whether the experiment is a binomial experiment. If it is not, explain why. Each week, a lottery player plays the Daily Three in the California lottery. The random variable is the number of times per year the player wins.
1 solutions
Answer 52383 by stanbon(57940) on 2007-03-04 07:54:10 (Show Source):
You can put this solution on YOUR website!Not binomial if the payoff is a fixed figure that does not depend on the number of participlants. That being the case the probability of winning changes every time he playssince more or fewer people participate each day.
====================
If the payoff is adjusted relative to the number of participants the experiment
could possibly be binomial, but that is highly unlikely.
==========
For an experiment to be binomial, the probability of success on each trial
must remain the same.
---------
Cheers,
Stan H.
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Money_Word_Problems/73136: $1000 was invested altogether. The first investment yielded a 15% profit, but the second investment yielded a 10% loss. Altogether this was equivalent to a 6% loss. How much in each investment?
1 solutions
Answer 52382 by stanbon(57940) on 2007-03-04 07:45:14 (Show Source):
You can put this solution on YOUR website!$1000 was invested altogether. The first investment yielded a 15% profit, but the second investment yielded a 10% loss. Altogether this was equivalent to a 6% loss. How much in each investment?
-------------
Let amt of 15% investment be "x" ; Interest will be 0.15x
Amt of 10% investment is "1000-x": Interest will be 0.10(1000-x)=100-0.1x
---------------
EQUATION:
Int - Int = -0.06(1000)
0.15x - (100-0.10x) = -0.06(1000)
0.15x-100+0.10x = -60
0.05x=40
x=$800 (amt invested at 15%)
1000-x = $200 (amt invested at 10%)
===========
Cheers,
Stan H.
|
Probability-and-statistics/73096: Please show me specific detailed answers to these question i got wrong on my test. Thankyou.
1. a. On a multiple choice test there are 6 questions and each question has 5 possible choices. If someone randomly guesses the answer for each question, what is the probability of getting exactly 5 questions wrong? Assume the answer has exactly 1 correct answer, and that the answer to any question is independent of the answer to any other question. Express your final answer as a decimal number rounded to 5 decimal places.
B. What is the probability of getting strictly less than 3 questions wrong?
2. The suits in a deck of cards are: Clubs, Diamonds, Hearts and Spades.
The 13 ranks are (lowest to highest): 2 3 4 5 6 7 8 9 10 (J)ack, (Q)ueen, (K)ing, (A)ce. There are 4 suits and 13 ranks thus there are 4x13=52 possible combinations.
Ace-clubs, 6-spades, J-hearts, king-hearts, 10-diamonds, 8-spades, Ace-spades, Queen-hearts, Ace-heearts, 7-spades, King-clubs, 3-Diamonds, 4-diamonds, 5-spades.
If you selected 1 card at random from the above 14 cards calculate the probability of...
a. Getting a heart or a card with a rank of K or higher? (Round final answer 3 decimal places).
b. Getting a card which is not a spade or a card with a rank of A or higher?
(Round final answer to 3 decimal places)
3. A charitable organization is selling raffle tickets for 5$. The first prize is a stereo system valued at 2,710. Second prize is an electric scooter valued at 970.00. The remaining prizes are 35 third prize gift certificates each valued at$40. Suppose 3500 tickets were sold, and you bought 1 ticket, what is the expected value of your net gain (or loss)?
1 solutions
Answer 52381 by stanbon(57940) on 2007-03-04 07:34:30 (Show Source):
You can put this solution on YOUR website!1. a. On a multiple choice test there are 6 questions and each question has 5 possible choices. If someone randomly guesses the answer for each question, what is the probability of getting exactly 5 questions wrong? Assume the answer has exactly 1 correct answer, and that the answer to any question is independent of the answer to any other question. Express your final answer as a decimal number rounded to 5 decimal places.
Binomial Problem
p=1/5; q=4/5 ;n=6
P(one answer correct) = 6C1(1/5)^1(4/5)^5 = 0.39
If you have a TI-83 it is binompdf(6,1/5,1)
---------------
B. What is the probability of getting strictly less than 3 questions wrong?
P(0<=X<=2) = binomcdf(6,1/5,2)=0.90
=6C0(1/5)^0(4/5)^6 +6C1(1/5)^1(4/5)5+6C2(1/5)^2(4/5)^4
----------------
2. The suits in a deck of cards are: Clubs, Diamonds, Hearts and Spades.
The 13 ranks are (lowest to highest): 2 3 4 5 6 7 8 9 10 (J)ack, (Q)ueen, (K)ing, (A)ce. There are 4 suits and 13 ranks thus there are 4x13=52 possible combinations.
Ace-clubs, 6-spades, J-hearts, king-hearts, 10-diamonds, 8-spades, Ace-spades, Queen-hearts, Ace-heearts, 7-spades, King-clubs, 3-Diamonds, 4-diamonds, 5-spades.
If you selected 1 card at random from the above 14 cards calculate the probability of...
a. Getting a heart or a card with a rank of K or higher? (Round final answer 3 decimal places).
P(heart or K or Ace) = (4+2+3-2)/14 = 1/2
There are 4 hearts; 2 kings; 3 Aces ; but 2 card that are both K/A and heart
----------------
b. Getting a card which is not a spade or a card with a rank of A or higher?
(Round final answer to 3 decimal places)
= 1-P(spade or Ace)
= 1-(5+3-1)/14 = 1 - 1/2 = 1/2
----------------
3. A charitable organization is selling raffle tickets for 5$. The first prize is a stereo system valued at $2,710. Second prize is an electric scooter valued at $970.00. The remaining prizes are 35 third prize gift certificates each valued at $40. Suppose 3500 tickets were sold, and you bought 1 ticket, what is the expected value of your net gain (or loss)?
E(gain) = (1/3500)(2710+970+35*40)-(3463/3500)(5)=1.45-4.95=-$3.50
You can expect to lose $3.50
-------------------------
Cheers,
Stan H.
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Matrices-and-determiminant/73110: Hi! I am having trouble with writing determinants and understanding Cramer's Rule. Please help me! This is one of my practice questions. There are a few like this so I am hoping if you show me how to do this one, I will be able to do the rest of them myself. Thanks!
Cramer's Rule is used to solve the system of equations:
3x-y+2z=17, 4x+2y-3z=10, and 2x+5y-9z=-6.
Write a determinant to represent the numerator for z.
1 solutions
Answer 52377 by stanbon(57940) on 2007-03-03 22:50:03 (Show Source):
You can put this solution on YOUR website!3x-y+2z=17,
4x+2y-3z=10, and
2x+5y-9z=-6.
Write a determinant to represent the numerator for z.
---------------------------
z numerator:
1st row: 3 ; -1 ;17
2nd row: 4 ; 2 ;10
3rd row: 2 ; 5 :-6
===============================
Cheers,
Stan H.
|
Linear_Equations_And_Systems_Word_Problems/73111: Not too long ago Edwin greatly helped me solve a system of equations from a word problem, it did indeed help me however, i need to now use that system and solve it using the substitution and elimination methods... can u help me?... the system is....
s + p + c = 40
c = 4p
s = p - 2
1 solutions
Answer 52376 by stanbon(57940) on 2007-03-03 22:40:11 (Show Source):
You can put this solution on YOUR website!s + p + c = 40
c = 4p
s = p - 2
---------------
The objective is to get an equation that has only one variable.
You are told c=4p
You are told s=p-2
Substitute that information into the 1st equation to get:
(p-2) +p +4p = 40
6p-2=40
6p=42
p=7
----------
Then c=4p=4*7=28
And s=p-2=7-2=5
---------
Solution:
p=7; s=5, c=28
==============
Cheers,
Stan H.
|
Matrices-and-determiminant/73109: I don't know if I am on the right track or not , and I am not sure how to finish.
2 [1 -9] [0 -2 -8] - [1 10 6]
[4 3] [4 7 5] - [5 -2 0] The brackets are to go around both rows
(It is 2 times a 2by2 times a 2by3 subtract a 2by3
I have
2[-36 -65 -53] - [1 10 6]
[ 12 13 -17] - [5 -2 0] I am not sure how to do the rest, do I multiply 2 by each # in the first 2x3? Please help.
1 solutions
Answer 52375 by stanbon(57940) on 2007-03-03 22:29:29 (Show Source):
You can put this solution on YOUR website!2 [1 -9] [0 -2 -8] - [1 10 6]
[4 3] [4 7 5] - [5 -2 0] The brackets are to go around both rows
(It is 2 times a 2by2 times a 2by3 subtract a 2by3
I have
2[-36 -65 -53] - [1 10 6]
[ 12 13 -17] - [5 -2 0] I am not sure how to do the rest, do I multiply 2 by each # in the first 2x3? Please help.
---------------
Yes, multiply each element of the 2x3 matrix by 2
then subtract the corresponding elements of the last matrix
--------
In the answer the element in the 1st row, 1st column is 2*-36-1=-73
----------
Cheers,
Stan H.
|
Equations/73107: At noon, two trains leave from towns 175 miles apart. One train averages 40 mph and the other averages 30 mph. At what time do they meet? (Remeber: distance= rate*time)
1 solutions
Answer 52373 by stanbon(57940) on 2007-03-03 22:09:56 (Show Source):
You can put this solution on YOUR website!At noon, two trains leave from towns 175 miles apart. One train averages 40 mph and the other averages 30 mph. At what time do they meet? (Remeber: distance= rate*time)
----------------
Train One DATA:
Distance: x : Rate= 40 mph ; Time = d/r = x/40 hrs
========
Train Two DATA:
Distance: 175-x miles ; Rate = 30 mph ; Time = d/r = (175-x)/30 hrs
----------------
EQUATION:
Time One = Time Two
x/40 = (175-x)/30
Cross-multiply to get:
30x = 40(175-x)
3x = 4(175-x)
3x = 700 -4x
7x = 700
x=100 miles
Time = x/40 = 100/40 = 2.5 hrs
===============
Cheers,
Stan H.
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Linear-equations/73105: I need help with these equations please. We are to use the standard form in solving x & y intercept. Thanks.....8y+4x=24 5y+10x=30 6y+12x=24 7y+7x=28.
1 solutions
Answer 52368 by stanbon(57940) on 2007-03-03 21:51:07 (Show Source):
You can put this solution on YOUR website!We are to use the standard form in solving x & y intercept. Thanks....
8y+4x=24
Let x=0 then y=3 =====the y intercept
Let y=0 then x=6 =====the x intercept
-------
5y+10x=30
Let x=0 then y=6 =====the y intercept
Let y=0 then x=3 =====the x intercept
--------
6y+12x=24
Let x=0 then y=4 =====the y intercept
Let y=0 then x=2 =====the x intercept
===========
7y+7x=28.
Let x=0 then y=4 =====the y intercept
Let y=0 then x=4 =====the x-intercept
=============
Cheers,
Stan H.
|
Radicals/73084: For the equation x-radicalx=0 , perform the following:
a) Solve for all values of x that satisfies the equation.
Answer:
Show work in this space
b) Graph the functions y=x and y=radicalx on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
Graph
c) How does the graph relate to part a?
Answer:
1 solutions
Answer 52357 by stanbon(57940) on 2007-03-03 18:34:16 (Show Source):
You can put this solution on YOUR website!For the equation x-radicalx=0 , perform the following:
a) Solve for all values of x that satisfies the equation.
Answer:
Show work in this space
x-sqrtx = 0
sqrtx = x
Square both sides to get:
x=x^2
x^2-x=0
x(x-1)=0
x=0 or x=1
Both answers check out.
-----------------
b) Graph the functions y=x and y=radicalx on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
Graph
c) How does the graph relate to part a?
Answer:
---------
Cheers,
Stan H.
|
Linear-equations/73074: An airplane covered 22 miles of its route while decreasing its altitude by 25,000 feet. Find the slope of the airplane's line of descent. Round to the nearest hundredth. (1 mi-5280 feet).
So far I have m=25000/22mi * 1/5280=25000/116160=2500/11616=1250/5808=625/2904.
I have not idea if I am doing this correctly.
1 solutions
Answer 52335 by stanbon(57940) on 2007-03-03 16:00:56 (Show Source):
You can put this solution on YOUR website!An airplane covered 22 miles of its route while decreasing its altitude by 25,000 feet. Find the slope of the airplane's line of descent. Round to the nearest hundredth. (1 mi-5280 feet).
---------
slope = (change in altitude)/(distance along the ground)
=[(-25000 ft)/(22 miles)]
=[-25000*1]/[22*5280]
= -25000/116160
= -0.21522
------
This is the same answer you have except for the negative.
Cheers,
Stan H.
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Polynomials-and-rational-expressions/73075: Adding and subtracting unlike rational expressions. HELP!! I have read and re-read the examples and directions and still can't figure out how to do this. Thank you.
subtraction..
2 over 5w-10 minus 3 over 2w-4
1 solutions
Answer 52333 by stanbon(57940) on 2007-03-03 15:51:53 (Show Source):
You can put this solution on YOUR website!2 over 5w-10 minus 3 over 2w-4
---------
It's like this; if I say 3 buicks minus 2 fords you
might very well say Yah??? That would mean you can't
subtract the way I stated the problem.
But, if I said 3 buicks minus 2 buicks you could say
" 1 buick" and I would agree that was an acceptable
answer.
Similarly you can't directly subtract 2/3 from 5/8.
They are not the same animals. What you do is create
a "common denominator"; then you can subtract.
-----------
Now, your problem:
2/(5(w-2)) - 3/(2(w-2))
These have a least common denominator of 15(w-2)
So convert each of the fractions; write each with the lcd as its denominator:
[2*3]/lcd - [3*5]/lcd
6/lcd - 15/lcd
=-9/[15(w-s)]
=-3/[5(w-5)]
===========
Cheers,
Stan H.
1
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Linear-equations/73048: One approach for finding the solution for a system of linear equations is to graph two lines on the same coordinate system and the coordinates of the point where the lines intersect is the solution for the system,what is this approach called?
Will it be the intersection method?
1 solutions
Answer 52318 by stanbon(57940) on 2007-03-03 13:07:23 (Show Source):
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Linear_Equations_And_Systems_Word_Problems/73060: This question is from textbook Algebra 2
A tourist agency can sell up to 1200 travel packages for a football game. The package includes airfare, weekend accommodations, and the choice of two types of flights: a nonstop flight or a two-stop flight. The nonstop flight can carry up to 150 passengers, and the two-stop flight can carry up to 100 passengers. The agency can locate no more than 10 planes for the travel packages. Each package with nonstop flight sells for $1200, and each package with a two-stop flight sells for $900. Assume that each plane will carry the maximum number of passengers. What is the linear inequalities to represent the constraints?How would you graph it and how would it look? What are the coordinates of the vertices of the febsible region?
1 solutions
Answer 52316 by stanbon(57940) on 2007-03-03 13:05:54 (Show Source):
You can put this solution on YOUR website!A tourist agency can sell up to 1200 travel packages for a football game.
non-stop +two-stop <=1200
----------------
The package includes airfare, weekend accommodations, and the choice of two types of flights: a nonstop flight or a two-stop flight. The nonstop flight can carry up to 150 passengers, and the two-stop flight can carry up to 100 passengers.
0<=n<=150
0<=t<=100
---------------
The agency can locate no more than 10 planes for the travel packages.
p<=10
-------------
Each package with nonstop flight sells for $1200,
Total Value of non-stops is 1200n
---------------
Each package with a two-stop flight sells for $900.
Total Value of two-stops is 900t
---------------
Assume that each plane will carry the maximum number of passengers.
-----------------
How do you suppose to graph this feasible region?
n <= -t+1200
0<=n<=150
0<=t<=100
===========
COMMENT: You have not stated an "objective" function that can
be evaluated using the coordinates of the intersections of the
above inequality lines.
Also you seem to be missing another inequality statement that
would relate n and t.
==================
What are the coordinates of the vertices of the feasible region?
(0,0)
If n=150, t=1050 giving you (150,1050)
==============
Cheers,
Stan H.
|
Graphs/73049: The Amount A in an account after t years from an initial principle P invested at an annual rate r compounded continuously is given by A = Pert where r is expressed as a decimal. Solve this formula for t in terms of A, P, and r.
selections:
f=In (AP/r)
f = In (A/rP)
f= rIN (A/P)
T = i/r In (A/P)
If you could please explain it to me.
Thanks you very much
1 solutions
Answer 52315 by stanbon(57940) on 2007-03-03 13:03:00 (Show Source):
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Linear_Algebra/73056: which basic function is related to the arithmetic sequence.
which basic function is related to the geometric sequence.
1 solutions
Answer 52314 by stanbon(57940) on 2007-03-03 12:59:49 (Show Source):
You can put this solution on YOUR website!An aritmetic sequence is a linear function because there is a constant
additive between terms.
---------
A geometric sequence is an exponential function because there is a constant
multiplier or constant ratio between successive terms
------------
Cheers,
Stan H.
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logarithm/73058: formula for measuring sound in decibals?
pick a sound give decibals of the sound, and explain what this measurment means.
If you could just give me an example that would be great this question has stumped me!!! Thank You!!
1 solutions
Answer 52311 by stanbon(57940) on 2007-03-03 12:51:46 (Show Source):
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