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stanbon answered: 57214 problems
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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 , 57210..57239, >>Next

Polynomials-and-rational-expressions/433429: The cost, in millons of dollars, to remove x % of pollution in a lake modeled by C= 6000/200-2x
1.What is the cost to remove 75% of the pollutant?

1 solutions

Answer 300445 by stanbon(57282) About Me  on 2011-04-09 12:33:32 (Show Source):
You can put this solution on YOUR website!
The cost, in millons of dollars, to remove x % of pollution in a lake modeled by C= 6000/200-2x
1.What is the cost to remove 75% of the pollutant?
---------------
C = 6000/(200-2*75)
C = 6000/(50)
C = 120 million dollars
============================
Cheers,
Stan H.
=========


Probability-and-statistics/433426: A major cab company in Chicago has computed its mean fare from O'Hare Airport to the Drake Hotel to be $3.35, with a standard deviation of $26.70 Based on this information, complete the following statements about the distribution of the company's fares from O'Hare Airport to the Drake Hotel.
A. According to Cheb. Therom what percentage of fares fall between $20.00 and $33.40.
B. According to Cheb Therom 84% of all fares fall between $XX.XX and $XX.XX
C. Suppose the disatribution is bell shaped, according to the emperical rule, 99.7% of the fares fall between $xx.xx and $xx.xx
D. Suppose dist. is a bell curve, according to the emperical rule, what percentage of fares fall between $20.00 and $33.40
1 solutions

Answer 300444 by stanbon(57282) About Me  on 2011-04-09 12:26:43 (Show Source):
You can put this solution on YOUR website!
A major cab company in Chicago has computed its mean fare from O'Hare Airport to the Drake Hotel to be $26.70, with a standard deviation of $3.35
-------
Based on this information, complete the following statements about the distribution of the company's fares from O'Hare Airport to the Drake Hotel.

A. According to Cheb. Thereme what percentage of fares fall between $20.00 and $33.40.
From $20 is 2 std below the mean; 33.40 is 2 std above the mean.
Cheb says you have at least (1-(1/2)^2) = 0.75 = 75% of data between
those limits.
----------------------
B. According to Cheb Therem 84% of all fares fall between $XX.XX and $XX.XX
If (1-(1/k^2) = 0.84
1/k^2 = 0.16
1/k = 0.4
k = 10/4 = 5/4 standard deviations.
(5/4)(3.35) = 2.51
----
Lower limit: $26.70-2.51 = $24.19
Upper limit: $26.70+2.51 = $29.21
----------------------------------

C. Suppose the distribution is bell shaped, according to the emperical rule, 99.7% of the fares fall between $xx.xx and $xx.xx
Find the z-value with a left tail of 0.3/2= 0.15% = 0.0015
invNorm(0.0015) = -2.9677
Lower Limit: -2.9677*3.35+26.70 = $16.76
Upper Limit: +2.9677*3.35+26.70 = $36.64
========================================
Cheers,
Stan H.

D. Suppose dist. is a bell curve, according to the emperical rule, what percentage of fares fall between $20.00 and $33.40


Surface-area/433427: I am looking to find the total square footage of 387 sq ft/36 m^2 ...any feedback would be great!
1 solutions

Answer 300443 by stanbon(57282) About Me  on 2011-04-09 12:20:50 (Show Source):
You can put this solution on YOUR website!
I am looking to find the total square footage of 387 sq ft/36 m^2
--------------
1 sq. ft = 0.093 sq meter
---
387 sq.ft = 387(0.093)sq meters = 35.991 sq m^2
---
Your Problem:
35.991 m^2/36 m^2 = appoximately 1
=====================================
Cheers,
Stan H.
=============


test/433423: The sum of the supplement and complement of an angle is 130 degrees. Find measure of the angle.
1 solutions

Answer 300442 by stanbon(57282) About Me  on 2011-04-09 12:11:49 (Show Source):
You can put this solution on YOUR website!
The sum of the supplement and complement of an angle is 130 degrees. Find measure of the angle.
-----
Let the angle be "x".
supplement: 180-x
complement: 90-x
-----
Equation:
180-x+90-x = 130
270-2x = 130
2x = 140
x = 70 degrees
================
Cheers,
Stan H.


Volume/433425: hello please tell me how many litres would a fish tank hold that is 7 foot by 3 foot by 3 foot thank you x

1 solutions

Answer 300441 by stanbon(57282) About Me  on 2011-04-09 12:08:53 (Show Source):
You can put this solution on YOUR website!
Please the following site:
http://animal-world.com/encyclo/information/calculate.htm


Miscellaneous_Word_Problems/433404: The weight of a synthetic ball varies directly with the cube of its radius. A ball with a rdius of 2 inches weighs 4.40 pounds. Find the weight of a ball with the same material with a 3 inch radius.

The weight of a ball of the same material with a 3 inch radius is____ lb.

Thanks
1 solutions

Answer 300440 by stanbon(57282) About Me  on 2011-04-09 12:05:02 (Show Source):
You can put this solution on YOUR website!
The weight of a synthetic ball varies directly with the cube of its radius.
---
w = k*r^3
------
Solve for "k" using "A ball with a radius of 2 inches weighs 4.40 pounds".
---
4.4 = k*2^3
k = 4.4/8
k = 0.55
------
Equation:
w = 0.55*r^3
===
Find the weight of a ball with the same material with a 3 inch radius.
w = 0.55*3^3
w = 14.85 lbs
The weight of a ball of the same material with a 3 inch radius is 14.85 lb.
---------------------------------
Cheers,
Stan H.
==============


Permutations/433416: Mr. Swanson is arranging chairs for the school band concert. The number of chairs in each row is a multiple of 6. Which of the following could be the number of chairs in each row?
1 solutions

Answer 300439 by stanbon(57282) About Me  on 2011-04-09 11:52:28 (Show Source):
You can put this solution on YOUR website!
Optional answers not posted.


Mixture_Word_Problems/433417: A nurse has a solution that is 25% alcohol and another that is 50% alcohol. How much if the 25% alcohol must she use to make 20 L of a solution that is 40% alcohol?
1 solutions

Answer 300438 by stanbon(57282) About Me  on 2011-04-09 11:51:36 (Show Source):
You can put this solution on YOUR website!
A nurse has a solution that is 25% alcohol and another that is 50% alcohol. How much of the 25% alcohol must she use to make 20 L of a solution that is 40% alcohol?
---------------------------
Two-variable solution:
Quantity Eq: t + f = 20 L
Alcohol Eq:0.25t+0.50f = 0.40*20
--------------------------------------
Multiply thru Quantity by 50
Multiply thru Alcohol by 100
--------------------------------------
50t + 50f = 50*20
25t + 50f = 40*20
------------------------
Subtract and solve for "t":
25t = 10*20
t = 8 L (amt. of 25% solution needed)
==================
Cheers,
Stan H.
============


Mixture_Word_Problems/433418: With the wind, the plane can fly 3000 miles in 5 hours. Against the same wind, the trip takes 6 hours. Find the airspeed of the plane.
1 solutions

Answer 300437 by stanbon(57282) About Me  on 2011-04-09 11:46:53 (Show Source):
You can put this solution on YOUR website!
With the wind, the plane can fly 3000 miles in 5 hours. Against the same wind, the trip takes 6 hours. Find the airspeed of the plane.
---------------
with-wind DATA:
dist = 3000 miles ; time = 5 hrs ; rate = d/t = 3000/5 = 600 mph
-------------
against-wind DATA:
dist = 3000 miles ; time = 6 hrs ; rate = 3000/6 = 500 mph
----------------
Equations:
p + w = 600
p - w = 500
------------------
Add and solve for "p":
2p = 1100
p = 550 (speed of the plane in still air)
---
Solve for "w":
p + w = 600
550 + w = 600
w = 50 mph (speed of the wind)
==================================
Cheers,
Stan H.


Radicals/433419: what is the square root of 36a+4b?
1 solutions

Answer 300436 by stanbon(57282) About Me  on 2011-04-09 11:41:59 (Show Source):
You can put this solution on YOUR website!
what is the square root of 36a+4b?
-----
Factor:
sqrt[4(9a+b)]
----
= 2*sqrt(9a+b)
-----------------
Cheers,
Stan H.


Probability-and-statistics/433400: Annual starting salaries for college graduates with business administration degrees are believed to have a standard deviation of approximately $2000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. How large a sample should be taken if the desired margin of error is
(a.) $500 ___________
(b.) $200 ___________
(c.) $100 ___________

1 solutions

Answer 300430 by stanbon(57282) About Me  on 2011-04-09 10:15:22 (Show Source):
You can put this solution on YOUR website!
Annual starting salaries for college graduates with business administration degrees are believed to have a standard deviation of approximately $2000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. How large a sample should be taken if the desired margin of error is
(a.) $500 ___________
(b.) $200 ___________
(c.) $100 ___________
----------------
n = [zs/E]^2
---
a) n = [1.96*2000/500]^2 = 7.84^2 = 62 when rounded up
----
b) n = [1.96*2000/200]^2 = 19.6^2 = 385 when rounded up
---
c) n = [1.96*2000/100]^2 = 39.2^2 = 1537 when rounded up

================
Cheers,
Stan H.


Age_Word_Problems/433361: seven years ago father's age was 5 times of his son's age. 14 years hence their age will be the ratio of 7:3. what is the present age of father
1 solutions

Answer 300428 by stanbon(57282) About Me  on 2011-04-09 09:31:28 (Show Source):
You can put this solution on YOUR website!
seven years ago father's age was 5 times of his son's age. 14 years hence their age will be the ratio of 7:3. what is the present age of father
-------------
(f-7)=5(s-7)
(f+14)/(s+14) = 7/3
-------
Rearrange:
f = 5s-28
----
Substitute and solve for "s":
(5s-28+14)/(s+14) = 7/3
Cross multiply:
3(5s-14) = 7(s+14)
15s-42 = 7s+98
8s = 140
s = 35/2 (son's age now)
----
Solve for "f":
f = 5s-28
f = 5*35/2-28
f = 175/2-28
f = 59.5 (father's age now)
============
Cheers,
Stan H.
============


Radicals/433390: (x^4-25) divided by (x-5)
1 solutions

Answer 300427 by stanbon(57282) About Me  on 2011-04-09 09:14:12 (Show Source):
You can put this solution on YOUR website!
(x^4-25) divided by (x-5)
---
Using synthetic division:
5)....1....0....0...0....-25
.......1....5....25..125..|600

Quotient: x^3+5x^2+25x+125
Remainder: 600
======================
Cheers,
Stan H.


Probability-and-statistics/433383: In a local university, 40% of the students live in dormitories. A random sample of n = 80 students is selected for a particular study.
(a) What is the sampling distribution of P? Please provide its general shape, its standard deviation, and its mean.
(b) What is the probability that the sample proportion (the proportion living in the dormitories) is between 0.30 and 0.50?
1 solutions

Answer 300426 by stanbon(57282) About Me  on 2011-04-09 09:09:47 (Show Source):
You can put this solution on YOUR website!
In a local university, 40% of the students live in dormitories. A random sample of n = 80 students is selected for a particular study.
(a) What is the sampling distribution of P?
---
Note: You have not provided a description of P.
Is it the proportions of all samples of size 80?
Is it the
----
If it is the population:
mean = np = 80*0.4 = 32
std = sqrt(npq) = sqrt(32*0.6) = 4.3817..
---------------------------------------------
If it is the proportions of samples of size 80:
mean = 0.4
std = sqrt[0.4*0.6/80] = 0.0548
-------------------------------------
Please provide its general shape, its standard deviation, and its mean.
----
(b) What is the probability that the sample proportion (the proportion living in the dormitories) is between 0.30 and 0.50?
z(0.3) = (0.3-0.4)/0.0549 = -1.8215
z(0.5) = (0.5-0.4)/0.0549 = 1.8215
---------------
P(0.3< x <0.5) = (-1.8215< x < 1.8215) = 0.9315
===============
Cheers,
Stan H.



Probability-and-statistics/433384: The monthly starting salaries of students who receive engineering degrees have a standard deviation of $600. What sample size should be selected so that there is 0.95 probability of estimating the mean monthly income within $150 or less?
1 solutions

Answer 300423 by stanbon(57282) About Me  on 2011-04-09 08:40:08 (Show Source):
You can put this solution on YOUR website!
The monthly starting salaries of students who receive engineering degrees have a standard deviation of $600. What sample size should be selected so that there is 0.95 probability of estimating the mean monthly income within $150 or less?
-----------------------
n = [zs/E]^2
----
n = [1.96*600/150]^2
---
n = [1.96*4]^2
n = 62 when rounded up
===============
Cheers,
Stan H.


Radicals/433382: ((2-x)/(7x)) times (14/(x-2))=
1 solutions

Answer 300421 by stanbon(57282) About Me  on 2011-04-09 08:37:12 (Show Source):
You can put this solution on YOUR website!
((2-x)/(7x)) times (14/(x-2))
----
Note: (2-x)/(x-2) = -1
----
Your Problem:
(2-x)/(x-2)*(14/7x)
= -1(2/x)
= -2/x
================
Cheers,
Stan H.


Quadratic_Equations/433376: I need more questions like this one to be a better student...
The area of a soccer field is 5500 square yards. The width of the field is 60 yards less than the length. Find the length, in yards, of the field hockey field. Can you direct me to where I might find them on this site? Thanks!
1 solutions

Answer 300420 by stanbon(57282) About Me  on 2011-04-09 08:34:33 (Show Source):
You can put this solution on YOUR website!
Please try this Google search site:
"algebra area word problems"
---
Cheers,
Stan H.


Functions/433379: what does Descrates' rule of sign tell me about the number of pos real zeros and number of neg real zeros of the function g(x)=5x^6-3x^3+x^2-x so that is 5x raised to the 6th power- 3x raised to the 3rd plus x squared-x
1 solutions

Answer 300419 by stanbon(57282) About Me  on 2011-04-09 08:30:22 (Show Source):
You can put this solution on YOUR website!
what does Descrates' rule of sign tell me about the number of pos real zeros and number of neg real zeros of the function
g(x)=5x^6-3x^3+x^2-x
g(-x) = 5x^6+3x^2+x^2+x
---
# of sign changes in g(x) = 3
So # of positive Real roots is 3 or 1
----------------
# of sign changes in g(-x) = 0
So # of negative Real roots is 0
--------
Check the statement of the Rule using Google.
Cheers,
Stan H.


Functions/433380: f(x)=x+1/xsquared+x -6 find x and y intercepts and the domain
1 solutions

Answer 300415 by stanbon(57282) About Me  on 2011-04-09 08:25:37 (Show Source):
You can put this solution on YOUR website!
f(x)=x+1/xsquared+x -6 find x and y intercepts and the domain
-----
f(x) = (x+1)/(x^2+x-6)
-----
Factor:
f(x) = (x+1)/[(x+3)(x-2)]
---
x-intercept: let y = 0 and solve for "x":
y = 0 when the numerator of the fraction is zero,
i.e. when x= -1.
------------
y-intercept: Let x = 0 and solve for "y":
y = 1/(-6) = -1/6
--------------------
Domain: The denominator cannot be zero:
x cannot be -3 or 2
Domain is All Real Numbers except x = -3 or 2.
=================
Cheers,
Stan H.


Exponential-and-logarithmic-functions/433334: how would you condense 8lnx-(2ln3+7lny)
1 solutions

Answer 300392 by stanbon(57282) About Me  on 2011-04-08 23:48:21 (Show Source):
You can put this solution on YOUR website!
how would you condense 8lnx-(2ln3+7lny)
------
ln(x^8)-(ln[9*y^7])
------
= ln[x^8/(9y^7)]
=========================
Cheers,
Stan H.


Probability-and-statistics/433308: Find the probability of drawing at least 1 club when you draw cards from a standard deck 13 times, assume that you replace the card each time you draw, so there are always 52 cards to draw from. Round 3 decimal places
Answers given are: 0.976, 0.024, 0.008, and 0.647
1 solutions

Answer 300385 by stanbon(57282) About Me  on 2011-04-08 22:34:41 (Show Source):
You can put this solution on YOUR website!
Find the probability of drawing at least 1 club when you draw cards from a standard deck 13 times, assume that you replace the card each time you draw, so there are always 52 cards to draw from. Round 3 decimal places
------------
When you replace the card you draw the draw results become independent.
---
P(at least one club in 13 draws) = 1 - P(no clubs in 13 draws)
---
= 1 - (3/4)^13
----
= 1 - 0.023757
---------
= 0.9762
=============
Cheers,
Stan H.






Answers given are: 0.976, 0.024, 0.008, and 0.647


Numbers_Word_Problems/433329: is ur sum is 11 and ur product is 18 what is the 2 one digit numbers

1 solutions

Answer 300384 by stanbon(57282) About Me  on 2011-04-08 22:26:37 (Show Source):
You can put this solution on YOUR website!
If your sum is 11 and your product is 18 what is the 2 one digit numbers.
-----------------
Equations:
x + y = 11
xy = 18
----
x = 11-y
-----
Substitute for "x" and solve for "y":
(11-y)y = 18
y^2-11y+18 = 0
(y-9)(y-2) = 0
y = 9 or y = 2
---
If y = 9, x = 2
If y = 2, y = 9
=======================
Cheers,
Stan H.


Functions/433330: how would i rewrite a quotient as multiplication by the reciprocal here is an example. 12/(1/2)
1 solutions

Answer 300383 by stanbon(57282) About Me  on 2011-04-08 22:20:40 (Show Source):
You can put this solution on YOUR website!
how would i rewrite a quotient as multiplication by the reciprocal here is an example. 12/(1/2)
-----
[12/(1/2)][(2/1)/(2/1)] = (12*2)/(1/2*2/1) = 24/1 = 24
========================================================
cheers,
Stan H.


Travel_Word_Problems/433314: Nancy traveled 6 miles upstream to do some fly fishing. It took her 20 minutes longer to get there than to return. If the current in the river is 2 miles per hour, then how fast will her boat go in still water.
1 solutions

Answer 300382 by stanbon(57282) About Me  on 2011-04-08 22:12:41 (Show Source):
You can put this solution on YOUR website!
Nancy traveled 6 miles upstream to do some fly fishing. It took her 20 minutes longer to get there than to return. If the current in the river is 2 miles per hour, then how fast will her boat go in still water.
---------------------------
Upstream DATA:
distance = 6 miles ; rate = b-2 mph; time = 6/(b-2) hrs
------------------------------------
Downstream DATA:
distance = 6 miles; rate = b+2 mph; time = 6/(b+2) mph
-----------------------
Equation:
time up - time down = 1/3 hr
----
6/(b-2) - 6/(b+2) = 1/3
----
Multiply thru by 3(b^2-9) to get:
---
18(b+2)-18(b-2) = b^2-9
----
72 = b^2-9
------
b^2= 81
b = 9 mph (speed of the boat in still water)
=============
Cheers,
Stan H.


test/433327: How do you square the square root of -2? (-sqrt2)^2?
1 solutions

Answer 300379 by stanbon(57282) About Me  on 2011-04-08 21:57:47 (Show Source):
You can put this solution on YOUR website!
How do you square the square root of -2?
(sqrt(-2))^2
---
= (isqrt(2))^2
---
= (-2)
==================
Cheers,
Stan H.
==============


Miscellaneous_Word_Problems/433324: Two motorcyclists start at the same point and travel in opposite directions. One travels 4mph faster then the other. In 4 hours they are 168 miles apart. How fast is each traveling?
The speed of the slower motorcyclist is___mph.
The speed of the faster motorcyclist is___mph.
Thank you.
1 solutions

Answer 300378 by stanbon(57282) About Me  on 2011-04-08 21:54:44 (Show Source):
You can put this solution on YOUR website!
Two motorcyclists start at the same point and travel in opposite directions. One travels 4mph faster then the other. In 4 hours they are 168 miles apart. How fast is each traveling?
---
Slower cyclist rate: x mph
Faster cyclist rate: x+4 mph
-----
Separation speed: 2x+4 mph
----
Eqution:
rate = distance/timrate = 168/4
-----
2x+4 = 168/4
2x+4 = 42
2x = 38
x = 19 mph (slower cyclist rate)
x+4 = 23 mph (faster cyclist rate)
=====================================
Cheers,
Stan H.
================

The speed of the slower motorcyclist is___mph.
The speed of the faster motorcyclist is___mph.


Miscellaneous_Word_Problems/433323: An aircraft flew 6 hours with the wind. The return trip took 7 hours against the wind.If the speed of the plane in still air is 492 miles per hour more than the speed of the wind, find the wind speed and the speed of the plane in still air.
The wind speed was__mph.
The speed of the plane in still air is___ mph.
Help please.
1 solutions

Answer 300374 by stanbon(57282) About Me  on 2011-04-08 21:48:07 (Show Source):
You can put this solution on YOUR website!
An aircraft flew 6 hours with the wind. The return trip took 7 hours against the wind.If the speed of the plane in still air is 492 miles per hour more than the speed of the wind, find the wind speed and the speed of the plane in still air.
-----------------
With-wind DATA:
time = 6 hrs. ; rate = 492+w ; distance = 6(492+w) miles
----
Against-wind DATA:
time = 7 hrs. ; rate = 492-w ; distance = 7(492-w) miles
----
Equation:
miles = miles
6(492+w) = 7(492-w)
---
6*492+6w = 7*492-7w
13w = 492
w = 37.846 mph (wind rate)
plane speed in still air: 492 mph

=========
Cheers,
Stan H.


percentage/433322: If a discount of 20% off the retail price of a desk saves Mark $45, how much did he pay for the desk?
1 solutions

Answer 300370 by stanbon(57282) About Me  on 2011-04-08 21:40:37 (Show Source):
You can put this solution on YOUR website!
If a discount of 20% off the retail price of a desk saves Mark $45, how much did he pay for the desk?
------------------------------
Let the price he paid be "x":
Equation:
0.20x = 45
x = 45/0.20
x = $225
-------------
Cheers,
Stan H.
============


logarithm/433316: e^x +3lnx-15=0 can be solved for x?

1 solutions

Answer 300368 by stanbon(57282) About Me  on 2011-04-08 21:37:08 (Show Source):
You can put this solution on YOUR website!
e^x +3lnx-15=0 can be solved for x?
----------------------------------
3ln(x) = 15-e^x
---
ln(x) = 5-(1/3)e^x
---
ln(x) = 5-e^(-3x)
----
Graph the two sides on the same set of coordinate axes.
-----------
graph%28400%2C300%2C-10%2C200%2C-10%2C10%2Cln%28x%29%2C5-%282.71828%29%5E%28-3x%29%29
-------------------
x=148.41316
Cheers,
Stan H.


Graphs/433317: Give the equation of the line that is perpendicular to the line y = -3x + 7 and passes through
point (0, -6).
A) y =13x + 6
B) y = -13x - 6
C) y = -3x - 6
D) y =13x - 6
1 solutions

Answer 300363 by stanbon(57282) About Me  on 2011-04-08 21:23:27 (Show Source):
You can put this solution on YOUR website!
Give the equation of the line that is perpendicular to the line y = -3x + 7 and passes through
point (0, -6).
------------------
The listed equation has slope = -3,
so the perpendicular line must have
slope 1/3
-----
Form: y = mx+b
-6 = (1/3)*0+b
b = -6
-----
Equation:
y = (1/3)x-6
------------
Cheers,
Stan H.
==============
Sorry the slections are as follows:
A) y=1/3x+6
B)y=-1/3x-6
C)y=-3x-6
D)y=1/3x-6



Graphs/433292: how do you graph the equation 49-7y=0
I honestly have not tried anything yet. I am unclear of how to do this. I do online classes and am having a difficult time getting my teacher to respond to my email.
Any help would be greatly appreciated :)

1 solutions

Answer 300345 by stanbon(57282) About Me  on 2011-04-08 20:12:45 (Show Source):
You can put this solution on YOUR website!
graph the equation 49-7y=0
----
7y = 49
y = 7
-----
Let x = 0, then y = 7 giving you point (0,7)
---
Let x = 2, then y = 7 giving you point (2,7)
---
Plot the two points and draw a line thru them
to get:
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C7%29
Cheers,
Stan H.