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Recent problems solved by 'stanbon'
stanbon answered: 57182 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 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53010..53039 , 53040..53069 , 53070..53099 , 53100..53129 , 53130..53159 , 53160..53189 , 53190..53219 , 53220..53249 , 53250..53279 , 53280..53309 , 53310..53339 , 53340..53369 , 53370..53399 , 53400..53429 , 53430..53459 , 53460..53489 , 53490..53519 , 53520..53549 , 53550..53579 , 53580..53609 , 53610..53639 , 53640..53669 , 53670..53699 , 53700..53729 , 53730..53759 , 53760..53789 , 53790..53819 , 53820..53849 , 53850..53879 , 53880..53909 , 53910..53939 , 53940..53969 , 53970..53999 , 54000..54029 , 54030..54059 , 54060..54089 , 54090..54119 , 54120..54149 , 54150..54179 , 54180..54209 , 54210..54239 , 54240..54269 , 54270..54299 , 54300..54329 , 54330..54359 , 54360..54389 , 54390..54419 , 54420..54449 , 54450..54479 , 54480..54509 , 54510..54539 , 54540..54569 , 54570..54599 , 54600..54629 , 54630..54659 , 54660..54689 , 54690..54719 , 54720..54749 , 54750..54779 , 54780..54809 , 54810..54839 , 54840..54869 , 54870..54899 , 54900..54929 , 54930..54959 , 54960..54989 , 54990..55019 , 55020..55049 , 55050..55079 , 55080..55109 , 55110..55139 , 55140..55169 , 55170..55199 , 55200..55229 , 55230..55259 , 55260..55289 , 55290..55319 , 55320..55349 , 55350..55379 , 55380..55409 , 55410..55439 , 55440..55469 , 55470..55499 , 55500..55529 , 55530..55559 , 55560..55589 , 55590..55619 , 55620..55649 , 55650..55679 , 55680..55709 , 55710..55739 , 55740..55769 , 55770..55799 , 55800..55829 , 55830..55859 , 55860..55889 , 55890..55919 , 55920..55949 , 55950..55979 , 55980..56009 , 56010..56039 , 56040..56069 , 56070..56099 , 56100..56129 , 56130..56159 , 56160..56189 , 56190..56219 , 56220..56249 , 56250..56279 , 56280..56309 , 56310..56339 , 56340..56369 , 56370..56399 , 56400..56429 , 56430..56459 , 56460..56489 , 56490..56519 , 56520..56549 , 56550..56579 , 56580..56609 , 56610..56639 , 56640..56669 , 56670..56699 , 56700..56729 , 56730..56759 , 56760..56789 , 56790..56819 , 56820..56849 , 56850..56879 , 56880..56909 , 56910..56939 , 56940..56969 , 56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209, >>Next
Quadratic_Equations/180997: This question is from textbook saxon algebra 2
Find the combination of 9 objects taken 6 at a time.
Did I do this correctly?
C(9,6)= 9! over 6!(9-6)! = 9! over 6!3!= 9x8x7x6! over 6!3! = 504 over 3 = 168
1 solutions
Answer 135669 by stanbon(57250)   on 2009-02-08 20:34:44 (Show Source):
You can put this solution on YOUR website!Find the combination of 9 objects taken 6 at a time.
Did I do this correctly?
C(9,6)= 9! over 6!(9-6)! = 9! over 6!3!= 9x8x7x6! over 6!3! = 504 over 6 = 84
-------------------
Comment: I modified the last two terms of the sequence.
=================================================================
Cheers,
Stan H.
|
Miscellaneous_Word_Problems/180985: Okay, I am REALLY no good at word problems and when it comes to these kind...it makes my head spin. So if someone could please help me that would be GREAT!!! Here is the problem:
Barb has a total of $25,000 invested in two different accounts. One is a money market account paying 9.5% interest, while the other is a CD that pays 12% interest. She receives $2700 in interest from these combined investments, after 1 year. How much does she have invested in each account?
1 solutions
Answer 135668 by stanbon(57250) on 2009-02-08 20:15:48 (Show Source):
You can put this solution on YOUR website!Barb has a total of $25,000 invested in two different accounts. One is a money market account paying 9.5% interest, while the other is a CD that pays 12% interest. She receives $2700 in interest from these combined investments, after 1 year. How much does she have invested in each account?
-------------------------------------------------------------
Equation:
interest + interest = interest
0.095x + 0.12(25000-x) = 2700
Multiply thru by 1000 to get:
95x + 120*25000 - 120x = 2700000
-25x = 2700000 - 120*25000
x = $12,000 (amt. invested at 9.5%
25000-x = $13,000 (amt. invested at 12%
============================================================
Cheers,
Stan H.
|
Trigonometry-basics/180984: The one false statement is;
a. The sine of an angle in the second quadrant is the sine of the reference angle.
b. The cosine of an angle in the third quadrant is the negative of the cosine of the reference angle.
c. The tangent of an angle in the second quadrant is the tnagent of the reference angle.
d. The secant of an angle in the fourth quadrant is the secant of the reference angle.
1 solutions
Answer 135666 by stanbon(57250) on 2009-02-08 19:57:10 (Show Source):
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Permutations/180974: FOR THE same price you can order a basic pizza and add any two toppings from a choice of six different toppings. If a double of one topping is allowed, the number of different pizzas with two toppings is.
a. 36
b. 30
c. 12
d. 6
1 solutions
Answer 135665 by stanbon(57250) on 2009-02-08 19:55:31 (Show Source):
You can put this solution on YOUR website!FOR THE same price you can order a basic pizza and add any two toppings from a choice of six different toppings. If a double of one topping is allowed, the number of different pizzas with two toppings is.
-------------------------------------
Pick a basic with two toppings: 6C2 = 6*5/1*2 = 15
Pick a double of a topping or do not: 2 choices
Ans: 2*15 = 30
-------------------------
Cheers,
Stan H.
-------------------------
a. 36
b. 30
c. 12
d. 6
|
Probability-and-statistics/180853: The unemployment rate in a city is 13%. Find the probability that more than 2 out of 9 people from this city sampled at random are unemployed. Round your answer to four decimal places.
1 solutions
Answer 135663 by stanbon(57250) on 2009-02-08 19:40:31 (Show Source):
You can put this solution on YOUR website!The unemployment rate in a city is 13%. Find the probability that more than 2 out of 9 people from this city sampled at random are unemployed. Round your answer to four decimal places.
------------------------------------------
A binomial Problem with n = 9 ; p = 0.13 ; 3 <= x <=9
------------------------------------------------------
I have a calculator that will do this:
P(3 <= x <= 9) = 1 - [P(0 <= x <=2)] = 1 - 0.89907.. = 0.1009...
-------------------------------------------------------
Cheers
Stan H.
|
Polynomials-and-rational-expressions/177377: Evaluate each expression..
please help with these.. thank you
29. 4!
30. 8i/6i 2i
31. 6C3
32. 7P2
1 solutions
Answer 135648 by stanbon(57250) on 2009-02-08 17:30:49 (Show Source):
You can put this solution on YOUR website!Evaluate each expression..
please help with these.. thank you
29. 4! = 4*3*2*1 = 24
-------------------------
30. 8i/6i 2i
Is the 2i a factor in the denominator?
Please use parentheses
----------------------------------
31. 6C3 = 6!/[(6-3)!*3!] = (6*5*4)/(1*2*3) = 20
----------------------------------
32. 7P2 = 7!/(7-2)! = 7!/5! = 7*6 = 2
---------------------------------
Cheers,
Stan H.
|
Polynomials-and-rational-expressions/180922: This question is from textbook
Explain how to factor a polynomial of thw form ax^2+bx=c when a is not
equal to 1. Describe both the grouping approach as well as reversing FOIL.
Contrast the two methods by means of an example. Discuss which is the best
approach and why.
Thank You
Denise
1 solutions
Answer 135647 by stanbon(57250) on 2009-02-08 17:24:05 (Show Source):
You can put this solution on YOUR website!Explain how to factor a polynomial of thw form ax^2+bx=c when a is not
equal to 1. Describe both the grouping approach as well as reversing FOIL.
Contrast the two methods by means of an example. Discuss which is the best
approach and why.
----------------------------------
The FOIL process results in a trinomial when the "O" and the "I"
products are "like" terms and can be combined.
-----------------------------------------
The inverse operation takes a middle term of a trinomial and breaks
it into two terms that allow for common factorization.
-------------------------------------------
Example: 2x^2 + 7x + 6
AC = 12
B = 7
---------
Think of 2 numbers whose product is AC and whose sum is B
The numbers are 3 and 4.
Break the middle term into 3x+4x then find a common factor as follows:
----------------
2x^2 + 3x + 4x + 6
x(2x+3) + 2(x+3)
(x+3)(x+2)
================
Cheers,
Stan H.
|
sets-and-operations/180929: How many one to one correspondences are there between the sets {x,y,z,u,v} and {1,2,3,4,5} if in each correspondence x must correspond to 5?
1 solutions
Answer 135646 by stanbon(57250) on 2009-02-08 17:14:42 (Show Source):
You can put this solution on YOUR website!Line up the x,y,z,u,v on the left and the 1,2,3,4,5 on the right.
-------------
Draw a line from the x to the 5
----------------------------------
the y may go to one of 4 points (1,2,3,or 4)
----------------------------
The z may go to one of 3 that remain
The u may go to one of 2 that remain
the v can only go to the remaining point
--------------------------------------------
Total number of possible connections: 1*4*3*2*1 = 24
===========================================================
====================
Cheers,
Stan H.
|
sets-and-operations/180930: How many one to one correspondences are there between two sets with 5 elements each?
1 solutions
Answer 135645 by stanbon(57250) on 2009-02-08 17:12:26 (Show Source):
You can put this solution on YOUR website!How many one to one correspondences are there between two sets with 5 elements each?
---------------------------------------
1st element can be matched with 5
2nd element can be matched with 4
3rd element can be matched with 3
etc.
----------------------------------
Total number of correspondences = 5*4*3*2*1 = 120
==================================================
Cheers,
Stan H.
|
sets-and-operations/180933: How many two-digit numbers can formed if the first digit cannot be 0 and no digit can be repeated?
1 solutions
Answer 135643 by stanbon(57250) on 2009-02-08 16:54:57 (Show Source):
You can put this solution on YOUR website!How many two-digit numbers can formed if the first digit cannot be 0 and no digit can be repeated?
-----------------------------
ways to select 1st digit: 9
ways to select 2nd digit: 10
--------------------------------
# of two-digit numbers: 9*10 = 90
========================================
Cheers,
Stan H.
|
Word_Problems_With_Coins/180898: Joe has a collection of nickels and dimes that is worth $6.05. If the number of dimes was doubled and the number of nickels was decreased by 10, the value of the coins would be $9.85. How many dimes does he have?
1 solutions
Answer 135632 by stanbon(57250) on 2009-02-08 14:46:18 (Show Source):
You can put this solution on YOUR website!Joe has a collection of nickels and dimes that is worth $6.05. If the number of dimes was doubled and the number of nickels was decreased by 10, the value of the coins would be $9.85. How many dimes does he have?
-----------------------------------------------------
Equations:
5n + 10d = 605 cents
5(n-10) + 10(2d) = 985 cents
--------------------------------
Rearrange:
n + 2d = 121
5n + 20d - 1035 = 0 ; n + 4d - 207 = 0
----------------
Modify:
n + 2d = 121
n + 4d = 207
---------------
Subtract 1st from 2nd to get:
2d = 86
d = 43 (number of dimes)
-----
Substitute to solve for n:
n+ 2*43 = 121
n = 35 (number of nickels)
==============================
Cheers,
Stan H.
===============================================================
cheers,
Stan H.
|
Miscellaneous_Word_Problems/180888: This question is from textbook
Two balls are to be selected without replacement from a bag containing one red, one blue, one green, one yellow, and one black ball. How many points are there in the sample space?
1 solutions
Answer 135626 by stanbon(57250) on 2009-02-08 14:27:26 (Show Source):
You can put this solution on YOUR website!Two balls are to be selected without replacement from a bag containing one red, one blue, one green, one yellow, and one black ball. How many points are there in the sample space?
----------------------------
"Without replacement" is a very important phrase.
It makes the 2nd selection dependent on the 1st.
---------------------------------------------------
1st selection : 5 ways
2nd selection : 4 ways
---------------------------
# of points in the sample space = 5*4 = 20
===========================================
cheers,
Stan H.
|
Quadratic_Equations/180852: a train normally travels 240km at a certain speed. one day, due to bad weather, the train's speed is reduced by 20km/h so that the journey takes two hours longer. find the normal speed.
1 solutions
Answer 135624 by stanbon(57250) on 2009-02-08 14:14:11 (Show Source):
You can put this solution on YOUR website!a train normally travels 240km at a certain speed. one day, due to bad weather, the train's speed is reduced by 20km/h so that the journey takes two hours longer. find the normal speed.
-----------------------------
Normal-travel DATA:
distance = 240 km ; rate = x km/h ; time = d/r = 240/x hrs
---------------------
Bad weather DATA:
distance = 240 km ; rate = (x-20) km/h ;time = 240/(x-20) hrs
------------------------------------
Bad time - normal time = 2 hrs
240/(x-20) - 240/x = 2
120/(x-20) - 120/x = 1
120x -120(x-20) = x(x-20)
20 = x^2 -20x
x^2 - 20x - 20 = 0
x = [20 +- sqrt(20^2 - 4*1*-20)]/2
x = [20 +- sqrt(480)]/2
x = [20 +- 4sqrt(30)]/2
x = 10 +- 2sqrt(30)
===========================
Cheers,
Stan H.
|
Probability-and-statistics/180837: A machine that manufactures automobile parts is estimated to produce defective parts 8% of the time. If this estimate is correct, and 10 parts produced by this machine are randomly selected, what is the probability that more than 1 turn out to be defective? Round your answer to four decimal places.
1 solutions
Answer 135594 by stanbon(57250) on 2009-02-08 08:59:56 (Show Source):
You can put this solution on YOUR website!A machine that manufactures automobile parts is estimated to produce defective parts 8% of the time. If this estimate is correct, and 10 parts produced by this machine are randomly selected, what is the probability that more than 1 turn out to be defective? Round your answer to four decimal places.
----------------------------------------
It's a binomial problem with n=10, p = 0.08 and x>=2
----------------------------------------------------
P(x>=2) = 1 -[P(x=0) + P(x=1)]
P(x>=2) = 1 -[(0.98)^10 + 10*(0.98)^9(0.02)] = 0.016776..
============================================================
Cheers,
Stan H.
|
Geometry_Word_Problems/180845: find the measure of an angle which is two time the measure of its complement.
1 solutions
Answer 135593 by stanbon(57250) on 2009-02-08 08:50:59 (Show Source):
You can put this solution on YOUR website!find the measure of an angle which is two time the measure of its complement.
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Let the angle be "x" ; then its complement is "90-x".
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Equation:
x = 2(90-x)
x = 180-2x
3x = 180
x = 60 degrees
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Cheers,
Stan
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logarithm/180846: Can you please help me to calculate ln1700 and also ln9500 (natural logarithm)? is there a formula?
Many thanks!
Cristina
1 solutions
Answer 135592 by stanbon(57250) on 2009-02-08 08:48:19 (Show Source):
You can put this solution on YOUR website!Can you please help me to calculate ln1700 and also ln9500 (natural logarithm)? is there a formula?
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You need a scientific calculator that will give you
the natural log of any positive number.
ln(1700) = 7.4384...
ln(9500) = 9.1590...
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You might also find a caculator on line. Try
Goggle to see if there is one.
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Cheers,
Stan H.
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Quadratic_Equations/180849: the diagram shows the a right angled triangle. based on the length of the sides of the triangle form a quadratic equation in term of y.
AB=(y+3)cm
BC=3y cm
AC= (4y-3) cm
help me pless...tq for helping me,....
1 solutions
Answer 135587 by stanbon(57250) on 2009-02-08 07:37:58 (Show Source):
You can put this solution on YOUR website!the diagram shows the a right angled triangle. based on the length of the sides of the triangle form a quadratic equation in term of y.
AB=(y+3)cm
BC=3y cm
AC= (4y-3) cm
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The answer depends on which of the lengths is the hypotenuse;
I'm going to assume that y+3 is the hypotenuse.
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(y+3)^2 = (3y)^2 + (4y-3)^2
y^2 + 6y + 9 = 9y^2 + 16y^2-24y+9
24y^2 -30y = 0
3y(8y-10) = 0
y = 0 or y = 10/8 = 5/4
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If y = 5/4 cm
AB = (5/4) + 3 = 5/4 + 12/4 = 17/4 cm
BC = 3*(5/4) = 15/4
AC = 4(5/4)-3 = 5-3 = 2 cm
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If one of the other sides is really the hypotenuse,
use Pythagoras, as I have, and solve for "y".
=================================================
Cheers,
Stan H.
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Radicals/180847: Ok, I have been working on these two since 4 30 this morning and still can't figure them out. Could somebody help me before I go nuts?
One is (z-6)^2-40=0 and 2x^2+7x+2=0 I keep getting some odd ball numbers and have not a clue what to do with them. Thanks in advance, Judy
1 solutions
Answer 135586 by stanbon(57250) on 2009-02-08 07:30:21 (Show Source):
You can put this solution on YOUR website!(z-6)^2-40=0
z^2-12z+36-40 =0
z^2 - 12z - 4 = 0
Use the quadratic formula to get:
z = [12 +- sqrt(12^2 - 4*1*-4)]/2
z = [12 +- sqrt(160)]/2
z = [12 +- 4sqrt(10)]/2
z = 6 +- 2sqrt(10)
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2x^2+7x+2=0
Use the quadratic forula to get:
x = [-7 +- sqrt(7^2 -4*2*2)]/4
x = [-7 +- sqrt(33)]/4
x = (-7/4) +- (1/4)sqrt(33)
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Cheers,
Stan H.
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Functions/180834: find the derivative.
1. x = ln(x+y+1)
and
2. F(x) = (square root of quantity 1 + x)- ln(1 + square root of quantity x + 1)
1 solutions
Answer 135578 by stanbon(57250) on 2009-02-07 22:50:07 (Show Source):
You can put this solution on YOUR website!find the derivative.
1. x = ln(x+y+1)
1 = [1/(x+y+1)](1 + (y'))
y' = [x+y+1] -1
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and
2. F(x) = sqrt(1 + x)- ln[1 + sqrt(x + 1)]
F'(x) = (1/2)(1+x)^(-1/2) - [1/(1+sqrt(x+1)] * [(1/2)(x+1)^(-1/2)]
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Cheers,
Stan H.
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Probability-and-statistics/180823: Suppose that the New England Colonials baseball team is equally likely to win a game as not to win it. If 5 Colonials games are chosen at random, what is the probability that exactly 4 of those games are won by the Colonials?
Round your response to at least three decimal places.
1 solutions
Answer 135576 by stanbon(57250) on 2009-02-07 22:42:18 (Show Source):
You can put this solution on YOUR website!Suppose that the New England Colonials baseball team is equally likely to win a game as not to win it. If 5 Colonials games are chosen at random, what is the probability that exactly 4 of those games are won by the Colonials?
Round your response to at least three decimal places.
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P(win) = 1/2 = P(lose)
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Your problem is binomial with n=5,p=1/2,x = 4
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Answer: P(x=4) = 5C4(1/2)^4(1/2) = 5(1/2)^5 = 5/32
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Cheers,
Stan H.
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Money_Word_Problems/180831: David split his $25,000 inheritance
between Fidelity Short-Term Bond Fund with an annual
yield of 5% and T. Rowe Price Tax-Free Short-Intermediate
Fund with an annual yield of 4%. If his total income for 1 year on the two investments was $1140, then how much
did he invest in each fund?
1 solutions
Answer 135573 by stanbon(57250) on 2009-02-07 22:30:36 (Show Source):
You can put this solution on YOUR website!David split his $25,000 inheritance
between Fidelity Short-Term Bond Fund with an annual
yield of 5% and T. Rowe Price Tax-Free Short-Intermediate
Fund with an annual yield of 4%. If his total income for 1 year on the two investments was $1140, then how much
did he invest in each fund?
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Equation:
interest + interest = interest
0.04x + 0.05(25000-x) = 1140
Multiply thru by 100 to get:
4x + 5*25000 - 5x = 114000
x = 125000 - 114000
x = $11000 (amt invested at 4%)
25000-x = $14 (amt invested by 5%)
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Cheers,
Stan H.
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Quadratic_Equations/180830: 4. Create a real-life situation that fits the equation (x + 3)(x - 5) = 0 and express the situation as the same equation.
1 solutions
Answer 135571 by stanbon(57250) on 2009-02-07 22:24:20 (Show Source):
You can put this solution on YOUR website!
Create a real-life situation that fits the equation (x + 3)(x - 5) = 0 and express the situation as the same equation.
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balance = (x+3)(x-5)
The balance on our savings accout was zero 3 month ago and will be
zero 5 monts from now.
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Cheers,
Stan H.
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Functions/180825: Please solve
1. Let m(x) be the slope of the tangent line to the curve y = x^3 - 2x^2 + x at the point (x,y). Find the instantaneous rate of change of m(x) with respect to x at the point (2,2).
1 solutions
Answer 135570 by stanbon(57250) on 2009-02-07 22:17:43 (Show Source):
You can put this solution on YOUR website!Let m(x) be the slope of the tangent line to the curve y = x^3 - 2x^2 + x at the point (x,y). Find the instantaneous rate of change of m(x) with respect to x at the point (2,2).
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Take the derivative to get:
m(x) = 3x^2 - 4x + 1
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Then slope at (2,2) = m(2) = 3*4 -4*2+1 = 5
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Cheers,
Stan H.
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Linear-equations/180821: Can you please help me. I am very confuse with this problem.
The accompanying table shows the percent of the adult population that married before age 25 in several different years. Using the year as the independent variable, find the linear regression equation. Round the regression coefficients to the nearest hundredth. Using the equation found above, estimate the percent of the adult population in the year 2009 that will marry before age 25, and round to the nearest tenth of a percent
Year(x) Percent (Y)
1971 42.4
1976 37.4
1980 37.1
1984 34.1
1989 32.1
1993 28.8
1997 25.7
2000 25.5
thank you very much!
1 solutions
Answer 135567 by stanbon(57250) on 2009-02-07 22:11:20 (Show Source):
You can put this solution on YOUR website!The accompanying table shows the percent of the adult population that married before age 25 in several different years. Using the year as the independent variable, find the linear regression equation. Round the regression coefficients to the nearest hundredth. Using the equation found above, Year(x) Percent (Y)
1971 42.4
1976 37.4
1980 37.1
1984 34.1
1989 32.1
1993 28.8
1997 25.7
2000 25.5
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You need a calculator or some software to generate the linear regression
equation.
Enter the data as (71,42.4) (76,37.4) (80,37.1) etc.
Run the program to get: f(x) = -0.58x + 82.92
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estimate the percent of the adult population in the year 2009 that will marry before age 25, and round to the nearest tenth of a percent
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2009 means x = 109
f(109) = -0.58*109 + 82.92 = 19.75%
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Cheers,
Stan H.
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Functions/180819: Determine whether the equation defines y as a function of x.
x^2 + y = 36;
|x| - y = 4
1 solutions
Answer 135559 by stanbon(57250) on 2009-02-07 21:57:03 (Show Source):
You can put this solution on YOUR website!Determine whether the equation defines y as a function of x.
x^2 + y = 36
Rearrange:
y = -x^2 + 36
Ans: y is a function of x.
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|x| - y = 4
Rearrange:
y = |x|-4
Ans: y is a function of x
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Cheers,
Stan H.
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Graphs/180792: This question is from textbook Elementary and Intermediate
Graphing a line given a point and slope. Draw /1 through (-4,0) and (0,6).What is the slope of any line parallel to /1? Draw /2 through the orgin andf parallel to /1
1 solutions
Answer 135554 by stanbon(57250) on 2009-02-07 21:53:51 (Show Source):
You can put this solution on YOUR website!Graphing a line given a point and slope. Draw /1 through (-4,0) and (0,6).
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slope = (6-0) / (0--4) = 6/4 = 3/2
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Form: y = mx + b
(0,6) is the y-intercept
Equation:
y = (3/2)x + 6
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What is the slope of any line parallel to /1?
Ans: 3/2
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Draw /2 through the origin and parallel to /1
Thru the origin means the y-intercept is at 0
Equation:
y = (3/2)x + 0
y = (3/2)x
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Cheers,
Stan H.
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Miscellaneous_Word_Problems/180813: Solve Variation Problem
The cost of pipe at Home Depo varies jointly as the length and
diameter of the pipe. If 20 feet of 0.5 inch diameter pipe
costs $36.60, then what is the cost of 12 feet of 0.75 inch
diameter pipe?
1 solutions
Answer 135550 by stanbon(57250) on 2009-02-07 21:45:37 (Show Source):
You can put this solution on YOUR website!Solve Variation Problem
The cost of pipe at Home Depo varies jointly as the length and
diameter of the pipe.
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c = k
--
If 20 feet of 0.5 inch diameter pipe
costs $36.60
Solve for "k":
36.60 = k[20*0.5]
k = 36.60/10 = 3.66
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Equation:
c = 3.66[Ld]
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, then what is the cost of 12 feet of 0.75 inch
diameter pipe?
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c = 3.66[12*0.75]
cost = 3.66*9
cost = $32.94
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Cheers,
Stan H.
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Radicals/180806: The owner of a health foods store determines that the demand equation for selling a nutritional supplement is where p is the price in dollars and x is the number of bottles demanded per week.
Solve the equation for x.
How many bottles are demanded per week if the price of the supplement is $13.50?
1 solutions
Answer 135544 by stanbon(57250) on 2009-02-07 21:15:34 (Show Source):
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