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Recent problems solved by 'stanbon'
stanbon answered: 57290 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, >>NextProbability-and-statistics/431284: What is the probability that a random 2 digit number is a multiple of 7?
1 solutions
Answer 299358 by stanbon(57363)   on 2011-04-04 21:41:54 (Show Source):
You can put this solution on YOUR website! What is the probability that a random 2 digit number is a multiple of 7?
----
# of 2-digit numbers: 99-10+1 = 90
----
# that are a multiple of 7
7*2,7*3,...,7*12
11 such numbers
---
P(a random 2-digit number is a multiple of 7) = 11/90
===================
Cheers,
Stan H.
===========
|
Linear-equations/431281: which equation represents a line with a slope of 0 and passing through the point (4,5)
1 solutions
Answer 299356 by stanbon(57363) on 2011-04-04 21:34:07 (Show Source):
You can put this solution on YOUR website!which equation represents a line with a slope of 0 and passing through the point (4,5)
----
If the slope is zero, the value of y does not change.
Equation:
y = 5
===========
Cheers,
Stan H.
===========
-----------------------------------------------------------------------
|
Quadratic_Equations/431243: How do you graph m² - 5m – 14 = 0 ?
1 solutions
Answer 299349 by stanbon(57363) on 2011-04-04 21:02:44 (Show Source):
You can put this solution on YOUR website!How do you graph m² - 5m – 14 = 0 ?
----
Maybe you mean y = m^2-5m-14
----
Solve m^2-5m-14 = 0 to find the m-intercepts:
(m-7)(m+2) = 0
m = 7 or m = -2
---
The m-intercepts are (7,0) and (-2,0)
======================================
The y-intercept is (0,-14)
----
Plot those three points and sketch
a parabola opening upward thru them to get:
---
----
Cheers,
Stan H.
=========
|
test/431247: Please help..
Find the slope-intercept form for the equation of the line which passes through the point (–3, 2) and the origin
1 solutions
Answer 299339 by stanbon(57363) on 2011-04-04 20:43:32 (Show Source):
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test/431239: please help..!
Find the slope-intercept form for the equation of the line which passes through the point (–1, 3) and has a slope of –2.
---
Find the slope-intercept form for the equation of the line which passes through the point (–3, 2) and the origin
1 solutions
Answer 299336 by stanbon(57363) on 2011-04-04 20:41:43 (Show Source):
You can put this solution on YOUR website!Find the slope-intercept form for the equation of the line which passes through the point (–1, 3) and has a slope of –2.
---
Form: y = mx+b
You have y = 3 when x = -1 and you have m = -2
Solve for "b";
3 = -2*3+b
3 = -6+b
b = 9
---
Equation:
y = -2x+9
=================
---
Find the slope-intercept form for the equation of the line
which passes through the point (–3, 2) and the origin
---
You have y = 0 when x = 0
You have slope = (2-0)/(-3-0) = -2/3
-----
Solve for "b":
y = mx + b
0 = (-2/3)*0 + b
b = 0
----
Y = (-2/3)x
==================
Cheers,
Stan H.
====================
|
Average/431233: There is a graph that describes how many cars are in a freight train. There are 11 Gondola cars, 24 Boxcars, 33 Tank cars, 4 Engine cars, 8 Hopper cars, and 16 Flatcars. About what percent of the total number of cars are gondola or tank cars?
1 solutions
Answer 299327 by stanbon(57363) on 2011-04-04 20:30:24 (Show Source):
You can put this solution on YOUR website!There is a graph that describes how many cars are in a freight train. There are 11 Gondola cars, 24 Boxcars, 33 Tank cars, 4 Engine cars, 8 Hopper cars, and 16 Flatcars. About what percent of the total number of cars are gondola or tank cars?
----------------
# of gondola and tank cars = 11+33 = 44
---
total # of cars: 11+24+33+4+8+16 = 96
---
Percent of gondola or tank = 44/96 = 45.8%
-----
Cheers,
Stan H.
=========
|
Probability-and-statistics/431153: in how many ways can first and second prize be awarded in a contest with 100 people, assuming that each prize is awarded to a different person
1 solutions
Answer 299321 by stanbon(57363) on 2011-04-04 20:20:19 (Show Source):
You can put this solution on YOUR website! in how many ways can first and second prize be awarded in a contest with 100 people, assuming that each prize is awarded to a different person
-----
Ans: 100*99 = 9900 ways
=====================
Cheers,
Stan H.
==========
|
Volume/430904: What is the surface area of a cube with a height of 10cm
1 solutions
Answer 299163 by stanbon(57363) on 2011-04-04 08:11:28 (Show Source):
You can put this solution on YOUR website!What is the surface area of a cube with a height of 10cm
---------
There are 6 faces.
Each face has an area of 10*10 cm^2
---
Total face area = 600 cm^2
===============================
Cheers,
Stan H.
|
Rational-functions/430907: I am gaving a really hard time grasping this concept in my math clas. We are working on Combining functions which I am starting to understand but then my teacher gave us an assignment about finding the difference quotient and I am having problems trying to get it. I would appreciate any help or explantions anyone has to offer. The problems are
f(x)=x^3+3
g(x)=(x+3)^3
h(x)=1/x
Thanks in advance for your help!
1 solutions
Answer 299159 by stanbon(57363) on 2011-04-04 08:06:42 (Show Source):
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Graphs/430746: I have been given a single line graph that essentially states -12 > x <= 4 (line graph is drawn)
The question then is: which inequality illustrates the graph.
a. -3x+4>=-8
b. 3x-4>=8
c. -3x-4>=8
d. none of these
Explanation of how to solve these would help greatly. I am trying to help my niece with an online class (without a book or study guide) and it has obviously been a while since I performed these types of things.
Thanks
1 solutions
Answer 299096 by stanbon(57363) on 2011-04-03 21:12:30 (Show Source):
You can put this solution on YOUR website!I have been given a single line graph that essentially states -12 > x <= 4 (line graph is drawn)
-------------------------------------------
Comment: -12 > x <=4 is a meaningless inequality.
It says -12 is greater than 4; that is not true.
Did you post the problem correctly?
Maybe you meant -12 < x <=4.
---
If you did you would proceed as follows:
Multiply thru by 3 to get:
-36 < 3x <= 12
Subtracting 4 you would get:
-40 < 3x-4 <= 8
=====================
But none of the answers below says that.
========================
Hmmmm?????
=============
Cheers,
Stan H.
The question then is: which inequality illustrates the graph.
a. -3x+4>=-8
b. 3x-4>=8
c. -3x-4>=8
d. none of these
|
Sequences-and-series/430761: hi i have to find out the value of the greatest element in the range of this relation with these numbers.
(0,0), (1,5), (2,8), (3,9), (4,8), (5,5), (6,0)
thank you sooo much
1 solutions
Answer 299091 by stanbon(57363) on 2011-04-03 21:04:14 (Show Source):
You can put this solution on YOUR website! hi i have to find out the value of the greatest element in the range of this relation with these numbers.
(0,0), (1,5), (2,8), (3,9), (4,8), (5,5), (6,0)
---
Ans: The largest y-value is 9
==============
cheers,
Stan H.
|
Trigonometry-basics/430750: I am having trouble understanding how to find 2 real #'s between -2pi and 2pi that determine the point on the unit circle. i know 1 time around the unit circle is 2pi and one time around the unit circle clockwise is -2pi. I also need help to determine suppement of 5pi/12 and complement of 3pi/8. I am looking at my book and teacher's notes and I don't see it explained at all. Thanks so kindly for your time.
1 solutions
Answer 299090 by stanbon(57363) on 2011-04-03 21:02:51 (Show Source):
You can put this solution on YOUR website!Find 2 real #'s between -2pi and 2pi that determine the point on the unit circle.
---
You have give us some information about the point.
=============================================================
I know 1 time around the unit circle is 2pi and one time around the unit circle clockwise is -2pi.
===========================
I also need help to determine supplement of
5pi/12
---
Ans: 2pi - (5/12)pi = (24/12)pi-(5/12)pi = (19/12)pi
=======================================================
The complement of 3pi/8
---
Ans: (1/2)pi - (3/8)pi
= (4/8)pi - (3/8)pi
---
= (1/8)pi
==============
Cheers,
Stan H.
|
logarithm/430756: Write the equation in its equivalent logarithmic form.
4^3=64
1 solutions
Answer 299086 by stanbon(57363) on 2011-04-03 20:54:41 (Show Source):
You can put this solution on YOUR website!Write the equation in its equivalent logarithmic form.
4^3=64
---
Note: "log" means exponent or power.
----
Your Problem:
log = 3
base = 4
result = 64
---------------
log4(64) = 3
=================
Cheers,
Stan H.
========
|
Miscellaneous_Word_Problems/430751: the current I in an electrical conductor varies inversely as the resistance R of the conductor. If the current is 1/2 ampere when the resistance is 240 ohms, what is the current when the resistance is 540 ohms?
1 solutions
Answer 299083 by stanbon(57363) on 2011-04-03 20:52:46 (Show Source):
You can put this solution on YOUR website!the current I in an electrical conductor varies inversely as the resistance R of the conductor.
---
I = k/R
---
Solve for "k" using "the current is 1/2 ampere when the resistance is 240 ohms"
(1/2) = k/240
k = 120
---
Equation:
I = 120/R
----
What is the current when the resistance is 540 ohms?
I = 120/540
I = 2/9
==================
Cheers,
Stan H.
==================
|
logarithm/430748: log(d)+log(2d+1)=log(7d)
please help!!
1 solutions
Answer 299080 by stanbon(57363) on 2011-04-03 20:48:35 (Show Source):
You can put this solution on YOUR website!log(d)+log(2d+1)=log(7d)
----
log[d(2d+1)] = log(7d)
---
log[2d^2+d] = log(7d)
----
2d^2+d = 7d
2d^2-6d = 0
2d(d-3) = 0
d = 0 or d = 3
---------
d=0 cannot be a solution because log(0) does not exist.
---
So d = 3 is the only solution.
======================
Cheers,
Stan H.
|
Travel_Word_Problems/430743: If I am being timed for 1.89 seconds how far will I go when I am travelling 55 MPH?
If I travel .0285 miles at 55 MPH how long does it take me?
1 solutions
Answer 299076 by stanbon(57363) on 2011-04-03 20:43:35 (Show Source):
You can put this solution on YOUR website!If I am being timed for 1.89 seconds how far will I go when I am travelling 55 MPH?
---
distance = rt = (55mph)(1.89 seconds) = (55miles/3600seconds)(1.89 seconds)
= (55*1.89/3600)miles = 0.028875 miles
-------------------------------------
If I travel .0285 miles at 55 MPH how long does it take me?
---
time = distance/rate = [0.0285 miles]/[55miles/hr]
---
= [0.0285/55] hrs
--
= 0.00051818...hrs
=========================
Cheers,
Stan H.
============
|
Linear-systems/430710: If anyone could please help me to solve these four problems it would be awesome! I am extremely lost. Please help! Thanks!! They use the Substituion Method & Addition Method. I can't figure out the solution sets. Thank you!
#1 Substituion Method:
x+y=1
x^2+xy-y^2=-11
#2 Substituion Method:
x^2+y^2=180
x-y=-6
#3 Addition Method:
2x^2+3y^2-30=0
5x^2-7y^2-17=0
#4 Addition Method:
x^2+y^2=16
y^2-3x=16
1 solutions
Answer 299070 by stanbon(57363) on 2011-04-03 20:32:24 (Show Source):
You can put this solution on YOUR website!#1 Substituion Method:
x+y=1
x^2+xy-y^2=-11
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y = 1-x
Substitute:
x^2+x(1-x)-(1-x)^2 = -11
----
x^2+x-x^2-(1-2x+x^2) = -11
---
x-1+2x-x^2 = -11
---
x^2-3x-10 = 0
(x-5)(x+2) = 0
x = 5 or x = -2
If x = 5, y = -4
If x = -2, y = 3
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#2 Substituion Method:
x^2+y^2=180
x-y=-6
---
x = y-6
Substitute:
(y-6)^2+y^2 = 180
y^2-12y+36+y^2 = 180
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2y^2-12y-144 = 0
y^2-6y-72 = 0
(y-12)(y+6) = 0
y = 12 or y = -6
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If y = 12, x = 6
If y = -6, y -12
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#3 Addition Method:
2x^2+3y^2-30=0
5x^2-7y^2-17=0
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Multiply thru the top equation by 5
Multiply thru the bottom equation by 2
---
Subtract, then solve for "y".
Then solve for "x".
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#4 Addition Method:
x^2+y^2=16
y^2-3x=16
---
Subtract to get:
x^2+3x=0
x(x+3) = 0
x = 0 or x = -3
---
If x = 0, y = 4 or -4
If x = -3, y = sqrt(7) or -sqrt(7)
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Cheers,
Stan H.
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Radicals/430707: I know that this one seems simple but for some reason I am having a hard time. Can anyone help me on this one?
sqrt(7a)+8sqrt(63a^(3))=
1 solutions
Answer 299064 by stanbon(57363) on 2011-04-03 20:01:12 (Show Source):
You can put this solution on YOUR website!sqrt(7a)+8sqrt(63a^(3))=
---
sqrt(7a) + 8sqrt(9a^2*7a)
---
= sqrt(7a) + 8*3a*sqrt(7a)
---
= [1+24a]sqrt(7a)
=======================
Cheers,
Stan H.
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Quadratic_Equations/430706: a fountain thatis 5ft tall sprays water into the air with an upward velocity of 22ft/s. What function gives the hieght of the water in feet and seconds after it is sprayed upward? what is the maximum height ofthe water?
1 solutions
Answer 299063 by stanbon(57363) on 2011-04-03 19:58:37 (Show Source):
You can put this solution on YOUR website!a fountain that is 5ft tall sprays water into the air with an upward velocity of 22ft/s. What function gives the height of the water in feet and seconds after it is sprayed upward? what is the maximum height ofthe water?
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Equation:
h(t) = -16t^2+22t+5
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Max occurs when t = -b/2a = -22/(2*-16) = 11/16 seconds
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Max height = h(11/16) = 12.563 ft.
===========================
Cheers,
Stan H.
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Linear_Equations_And_Systems_Word_Problems/430705: Three burritos and two tacos cost $11.50, and two burritos and three tacos cost $11. How much does one taco cost?
1 solutions
Answer 299061 by stanbon(57363) on 2011-04-03 19:54:17 (Show Source):
You can put this solution on YOUR website! Three burritos and two tacos cost $11.50, and two burritos and three tacos cost $11. How much does one taco cost?
--------------
Equations:
3b+2t = 1150 cents
2b+3t = 1100 cents
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Multiply top eq by 2
Multiply bottom eq by 3
----
6b + 4t = 2300
6b + 9t = 3300
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Subtract and solve for "t":
5t = 1000
t = 200 cents or $2.00 (price of one taco)
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Cheers,
Stan H.
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Probability-and-statistics/430672: You are a member of the university committee that is choosing the new electronic ma- chines for grading bubble sheets at a school. Manufacturers delivered their early prototypes to your committee and you are going to test them. You’ve received tips that the machines count individual answer sheets well, but the software fails if given certain sequences of answer sheets. You do not know what these sequences might be.
Each answer sheet has eight questions with two possible answers (a or b). For each question, each answer sheet may be marked a, b, both, or neither. How many distinct 40-answer sheet sequences are there? (Hint: This will be a total of 320 questions, because there are 8 questions per sheet.)
1 solutions
Answer 299059 by stanbon(57363) on 2011-04-03 19:50:50 (Show Source):
You can put this solution on YOUR website!Each answer sheet has eight questions with two possible answers (a or b). For each question, each answer sheet may be marked a, b, both, or neither. How many distinct 40-answer sheet sequences are there?
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There are 2^8 = 256 possible sequences of a or b answers on each sheet.
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Cheers,
Stan H.
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Probability-and-statistics/430607: 5)Suppose the length of pregnancy for hamsters is normally distributed with a mean of 40 days and a standard deviation of 2 days. We can say that 90% of pregnant hamsters will give birth before X days . Find X (Round off to nearest whole number of days.)
What is the conditional probability that the pregnancy will be shorter than 42 days given that it has lasted 38 days?
1 solutions
Answer 299052 by stanbon(57363) on 2011-04-03 19:13:41 (Show Source):
You can put this solution on YOUR website!Suppose the length of pregnancy for hamsters is normally distributed with a mean of 40 days and a standard deviation of 2 days. We can say that 90% of pregnant hamsters will give birth before X days . Find X (Round off to nearest whole number of days.)
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Find the z-value with a 90% left-tail.
invNorm(0.90) = 1.2816
----
Find "x" using x = zs+u
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X = 1.2816*2+40
X = 42.56 days
=====================
Cheers,
Stan H.
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Probability-and-statistics/430614: You are to set up a code of 2- digits words using the digits 1, 2, 3, 4 without using any digit more than once.a) What is the maximum number of words in such a language?
1 solutions
Answer 299042 by stanbon(57363) on 2011-04-03 17:56:39 (Show Source):
You can put this solution on YOUR website!You are to set up a code of 2- digits words using the digits 1, 2, 3, 4 without using any digit more than once.a) What is the maximum number of words in such a language?
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ways to choose the 1st digit: 4
ways to choose the 2nd digit: 3
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Total number of 2-digit words: 4*3= 12
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Cheers,
Stan H.
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Polynomials-and-rational-expressions/430627: (7x+2)^2-5x[-3(x+2)]
once i factor what is inside the brackets do i keep it in the brackets then distribute the -5x to what is inside the brakcets?
1 solutions
Answer 299030 by stanbon(57363) on 2011-04-03 16:47:21 (Show Source):
You can put this solution on YOUR website! (7x+2)^2-5x[-3(x+2)]
Once I factor what is inside the brackets do I keep it in the brackets then distribute the -5x to what is inside the brakcets?
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(7x+2)^2-5x[-3x-6]
----
(7x+2)^2+15x^2+30x
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49x^2+28x+4 + 15x^2+30x
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64x^2+58x+4
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Cheers,
Stan H.
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Mixture_Word_Problems/430619: How much pure gold should be melted into 5 grams of a 62% gold alloy to make it an 85% gold alloy?
1 solutions
Answer 299029 by stanbon(57363) on 2011-04-03 16:42:56 (Show Source):
You can put this solution on YOUR website!How much pure gold should be melted into 5 grams of a 62% gold alloy to make it an 85% gold alloy?
------
Equation:
gold + gold = gold
0.62*5 + 1.00x = 0.85*(5+x)
Multiply thru by 100:
62*5 + 100x = 85*5+85x
15x = 23*5
x = (1/3)23
x = 7 2/3 oz (amt. of pure gold needed)
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Cheers,
Stan H.
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Graphs/430617: Graph the equation using the slope and the y-intercept.
y = 4/3x + 3
1 solutions
Answer 299026 by stanbon(57363) on 2011-04-03 16:35:35 (Show Source):
You can put this solution on YOUR website!Graph the equation using the slope and the y-intercept.
y = 4/3x + 3
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slope = 4/3
y-intercept at (0,3)
----
Put a point at (0,3).
----
Since slope = 4/3,
move the pencil 3 to the right to (3,3)
then move the pencil 4 up to (3,7)
Put a point at (3,7)
----
Draw a line thru (0,3),(3,7)
That is your graph.
=======================
Cheers,
Stan H.
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Finance/430606: This is not a financial question however, it deals with percentages. So I presume this is the best board to post to. I apologize in advance if it is not.
Soybean meal is 12% protein; cornmeal is 6% protein. How many pounds of each should be mixed together in order to get 240-lb mixture that is 8% protein?
How many pounds of cornmeal should be in the mixture?
___ pounds
How many pounds of soybean meal should be in the mixture?
___ pounds
I dont understand this at all. The protein percentages do not have a value for how many pounds (of each) it takes to come up with the 12% and 6%
1 solutions
Answer 299024 by stanbon(57363) on 2011-04-03 16:30:14 (Show Source):
You can put this solution on YOUR website!Soybean meal is 12% protein; cornmeal is 6% protein. How many pounds of each should be mixed together in order to get 240-lb mixture that is 8% protein?
-------
Using 2 variables.
Equation:
Quantity: s + c = 240
Protein:0.12s+0.06c = 0.08*240
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Multiply thru 1st by 12
Multiply thru 2nd by 100
-------------------
12s + 12c = 12*240
12s + 6c = 8*240
-----------------
Subtract and solve for "c":
6c = 4*240
c = (2/3)(240)
c = 160 lb (amt. of cornmeal needed)
---
Solve for "s":
s+c = 240
s+160 = 240
s = 80 lb (amt of soybean needed)
=======================================
Cheers,
Stan H.
===========
How many pounds of cornmeal should be in the mixture?
___ pounds
How many pounds of soybean meal should be in the mixture?
___ pounds
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