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Recent problems solved by 'stanbon'
stanbon answered: 57314 problems
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2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 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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, >>NextLinear-equations/731900: find the x-axis intercept of the graph of: y=x^2 - 3x + 3
1 solutions
Answer 447354 by stanbon(57387)   on 2013-03-29 21:46:34 (Show Source):
You can put this solution on YOUR website!find the x-axis intercept of the graph of: y=x^2 - 3x + 3
----
Solve x^2 - 3x + 3 = 0
---
Use Quadratic Formula:
x = [3 +- sqrt(9-4*1*3)]/2
----
x = [3 +- sqrt(-3)]/2
----
Note: The root values are complex.
There are no x-intercepts.
Cheers,
Stan H.
================
|
Inequalities/731901: I am stuck on a question on one of my tests.
.
Solve the inequality: |3 - 3x/4| >= 9
.
I know the equation will be an inequality, but I've tried several times and I haven't been right. Could I have some help understanding how to tackle this, and all the steps involved?
1 solutions
Answer 447352 by stanbon(57387) on 2013-03-29 21:41:47 (Show Source):
You can put this solution on YOUR website!Solve the inequality: |3 - 3x/4| >= 9
--------
3-(3/4)x >= 9 or 3-(3/4)x <= -9
-----
-(3/4)x >= 6 or -(3/4)x <= -12
----
x <= -8 or x >= 16
=========================
Cheers,
Stan H.
==============
|
absolute-value/731896: What is
|3x+2|greater than equal to 4
x(x-1)(x-2)greater than 0
1 solutions
Answer 447350 by stanbon(57387) on 2013-03-29 21:17:17 (Show Source):
You can put this solution on YOUR website!What is
|3x+2|greater than equal to 4
----
3x+2 <= -4 or 3x+2 >= 4
3x <= -6 or 3x >= 2
x <= -2 or x >= 2/3
============================
x(x-1)(x-2)greater than 0
Draw a number line.
Plot points at 0,1,2
----
Test a value in each interval:
Test x = -10 to get -*-*- > 0 ; false
Test x = 0.5 to get +*-*- > 0 ; true
Test x = 1.5 to get +*+*- > 0 ; false
Test x = 10 to get +*+*+ > 0 ; true
----
Solutions: (0,1)U(2,+oo)
===============================
cheers,
Stan H.
Test x =
|
Circles/731894: how long is arc acb if the radius of a circle is 6? round your answer to two decimal places?
1 solutions
Answer 447348 by stanbon(57387) on 2013-03-29 21:07:44 (Show Source):
You can put this solution on YOUR website! how long is arc acb if the radius of a circle is 6? round your answer to two decimal places?
----
You have to know the size of the subtended angle.
Cheers,
Stan H.
=======================
Cheers,
Stan H.
|
logarithm/731889: Solve the exponential equation. Express the solution in terms of natural logarithms. Then use a calculator to obtain a decimal approximation for the solution.
e^x = 22.8
1 solutions
Answer 447347 by stanbon(57387) on 2013-03-29 21:04:34 (Show Source):
You can put this solution on YOUR website!Solve the exponential equation. Express the solution in terms of natural logarithms. Then use a calculator to obtain a decimal approximation for the solution.
e^x = 22.8
------
base = e
exponent = log = x
result = 22.8
------
ln(22.8) = x
---
x = 3.1268
===================
Cheers,
Stan H.
|
Linear_Equations_And_Systems_Word_Problems/731887: steven wants to buy some candy with his birthday money. he can choose from Jelly Belly jelly beans that sell for $6.99 a pound and Brach's variety that sells for $3.99. he likes to have twice the amount of jelly beans as Brach's variety. if he spent a total of $53.91 how many pounds of each type of candy did he buy?
1 solutions
Answer 447342 by stanbon(57387) on 2013-03-29 20:53:33 (Show Source):
You can put this solution on YOUR website!steven wants to buy some candy with his birthday money. he can choose from Jelly Belly jelly beans that sell for $6.99 a pound and Brach's variety that sells for $3.99. he likes to have twice the amount of jelly beans as Brach's variety. if he spent a total of $53.91 how many pounds of each type of candy did he buy?
------
Value Equation: 6.99j + 3.99b = 53.91
Quantity Equation: j = 2b
----
6.99(2b) + 3.99b = 53.91
17.97b = 53.91
b = 300 lbs (amt. of Brach's needed)
j = 2b = 600 lbs (amt. of jelly beans needed)
===================
Cheers,
Stan H.
=======================
|
Money_Word_Problems/731878: A investor invest a total of $2000 in two mutual funds. One earned a profit of 4% while the other earned 2%. His total profit was 56$ How much money did he put in each one? I am having trouble finding a formula for this problem
1 solutions
Answer 447335 by stanbon(57387) on 2013-03-29 20:11:33 (Show Source):
You can put this solution on YOUR website!A investor invest a total of $2000 in two mutual funds. One earned a profit of 4% while the other earned 2%. His total profit was 56$ How much money did he put in each one?
---------------
Quantity Equation: x + y = 2000
Interest Equation: 4x +2y = 5600
------------------------------------
Modify:
2x + 2y = 4000
4x + 2y = 5600
----
Subtract and solve for "x":
2x = 1600
----
x = $800 (amt. invested at 4%)
y = $1200 (amt. invested at 2%)
=================
Cheers,
Stan H.
|
Polynomials-and-rational-expressions/731875: Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. y=-3
1 solutions
Answer 447331 by stanbon(57387) on 2013-03-29 19:57:06 (Show Source):
You can put this solution on YOUR website!Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. y=-3
-----
Sketch the characteristic as the line y = -3.
Plot the vertex at (0,0)
----
The distance from vertex to y = -3 is 3
-----
Form:
(x-h)^2 = (4p)(y-k)
---
h = k = 0 and p = 3
-----
Equation:
x^2 = 12(y)
----
y = (1/12)x^2
----------------------
Cheers,
Stan H.
======================
|
Trigonometry-basics/731143: Sketch one period of the graph of y=tan(1/4x)
1 solutions
Answer 447328 by stanbon(57387) on 2013-03-29 19:48:17 (Show Source):
You can put this solution on YOUR website!Sketch one period of the graph of y=tan((1/4)x)
----
1st: Draw a coordinate system.
2nd: Draw a normal tangent curve.
3rd: The period for your curve is pi/(1/4) = 4pi
----
The curve corsses the x-axis at x = 0 and has vertical asymptotes
at x = +/- 2pi
Mark the x-axis so the vertical asymptotes are correct.
---------------------
Cheers,
Stan H.
|
Trigonometry-basics/731872: Question 1. For a right triangle that has legs a and b and hypotenuse c, find the length of the side not given here.
a = 5 cm
b = 12 cm
Question 2.
For a right triangle that has legs a and b and hypotenuse c, find the length of the side not given here.
a = 18 inches
c = 30 inches
1 solutions
Answer 447326 by stanbon(57387) on 2013-03-29 19:27:02 (Show Source):
You can put this solution on YOUR website!Question 1. For a right triangle that has legs a and b and hypotenuse c, find the length of the side not given here.
a = 5 cm
b = 12 cm
---
c = sqrt[5^2 + 12^2] = sqrt(169) = 13
--------------------------------------------
Question 2.
For a right triangle that has legs a and b and hypotenuse c, find the length of the side not given here.
a = 18 inches
c = 30 inches
-----
b^ sqrt[30^2-18^2] = sqrt[900-324] = sqrt[576] = 24
===========================================================
Cheers,
Stan H.
|
Trigonometry-basics/731623: COMPLETELY LOST HELP NEEDED ON HOMEWORK QUESTION IT would be much appreciated
Given the function f(x)=20sin(30*x)-10 determine when f(x)=-20
1 solutions
Answer 447324 by stanbon(57387) on 2013-03-29 19:20:11 (Show Source):
You can put this solution on YOUR website!f(x)=20sin(30*x)-10 determine when f(x)=-20
----
20sin(30x) - 10 = -20
---
20sin(30x) = -10
---
sin(30x) = -1/2
----
30x = -pi/6 or 30x = 7pi/6)
---
In radians:
x = -pi/180 or x = (7pi)/180
----------------------
In degrees:
x = -1 degree or x = 7 degrees
===============
Cheers,
Stan H.
|
Trigonometry-basics/731756: why does something have to be hard make it easy on math like quizzes can you put some spongbobs quizzes on like icarly and spongbob and drake josh austin and ally justin bibber like some of them right now please thank you by tommy bertini and its 1105 am right now so try at 1200 o clock please thank you a gain by tommy bertini...............................................................
1 solutions
Answer 447322 by stanbon(57387) on 2013-03-29 19:12:56 (Show Source):
|
Probability-and-statistics/731769: In a survey 63% of Americans said they own an answering machine. if 14 Americans are selected at the random. find the probability that exactly 9 own an answering machine.
1 solutions
Answer 447280 by stanbon(57387) on 2013-03-29 12:34:33 (Show Source):
You can put this solution on YOUR website!In a survey 63% of Americans said they own an answering machine. if 14 Americans are selected at the random. find the probability that exactly 9 own an answering machine.
-----
Binomial Problem with n = 14 and p(have) = 0.63
------
P(x = 9) = 14C9(0.63)^9*(0.37)^5 = binompdf(14,0.63,9) = 0.2170
==========================
Cheers,
Stan H.
==========================
|
Probability-and-statistics/731771: if 50 tickets are sold and 2 prizes are be awarded, the probability that one person will win 2 prize if that person buys 2 tickets.
1 solutions
Answer 447278 by stanbon(57387) on 2013-03-29 12:31:25 (Show Source):
You can put this solution on YOUR website!if 50 tickets are sold and 2 prizes are be awarded, the probability that one person will win 2 prize if that person buys 2 tickets.
-----
# of ways to succeed: 2C2 = 1
# of possible outcomes: 50C2 = 1225
---
P(2 winning tickets) = 1/1225
---------------
Cheers,
Stan H.
|
Systems-of-equations/731786: solve using Applications of a non linear system
Find the length and width of a rectangle whose perimeter is 20 feet and whose area is 21 square feet
1 solutions
Answer 447274 by stanbon(57387) on 2013-03-29 12:23:58 (Show Source):
You can put this solution on YOUR website!Find the length and width of a rectangle whose perimeter is 20 feet and whose area is 21 square feet
--------------------
20 = 2(L + W)
----
L*W = 21
-------------------
Equation:
L + W = 10
L*W = 21
----
Substitute for "L" and solve for "W"
(10-W)W = 21
10W - W^2 = 21
W^2 - 10W + 21 = 0
Factor:
(W-3)(W-7) = 0
Width = 3 or Width = 7
----
If Width = 3, then Length = 7
If Width = 7 then Length = 3
-----------------------
Cheers,
Stan H.
|
Average/731787: Marco got a score of 80 on his math quiz. he got 100 on his second math quiz. what was the percent increase in his scores?
1 solutions
Answer 447273 by stanbon(57387) on 2013-03-29 12:19:07 (Show Source):
You can put this solution on YOUR website!Marco got a score of 80 on his math quiz. he got 100 on his second math quiz. what was the percent increase in his scores?
----
Quantitative increase: 100-80 = 20
Percent increase: 20/100 = 20%
----------------
Cheers,
Stan H.
|
Quadratic_Equations/731778:
Which model is most appropriate for the data set?
(–1, 20), (0, 10), (1, 5), (2, 20) (1 point)linear
quadratic
exponential
none of the above
1 solutions
Answer 447272 by stanbon(57387) on 2013-03-29 12:16:42 (Show Source):
You can put this solution on YOUR website!Which model is most appropriate for the data set?
(–1, 20), (0, 10), (1, 5), (2, 20) (1 point)linear
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Plot the points
Draw a smooth curve thru them
What does it look like?
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I ran a Quadratic Regression program on the data
and found the correlation factor to be 0.93.
So it is somewhat quadratic but not exactly quadratic.
Cheers,
Stan H.
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quadratic
exponential
none of the above
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�t�e�s�t/731573: determine the value of x and y if 2^y=8^x and 3^y=3^x+4
1. x=2, y=6
2. x=-2,y=-6
3. x=6,y=2
4. x=y
1 solutions
Answer 447187 by stanbon(57387) on 2013-03-28 16:20:46 (Show Source):
You can put this solution on YOUR website!determine the value of x and y if 2^y=8^x and 3^y=3^x+4
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Modify:
2^6 = 2^(3x) and 3^y = 3^(x+4)
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Equations:
3x = 6
y = x+4
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x = 2
y = 2+4 = 6
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Answer: #1
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Cheers,
Stan H.
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1. x=2, y=6
2. x=-2,y=-6
3. x=6,y=2
4. x=y
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Polynomials-and-rational-expressions/731581: Consider the rational expression: (4a^2) / (a^2-81). What values for a would make this expression undefined? What is the other value for a? Explain and demonstrate why? The answer I got was that the expression was undefined because the values for a=9 and 81-81 gives us a denominator of 0. I am lost and I really need help. Thanks.
1 solutions
Answer 447186 by stanbon(57387) on 2013-03-28 16:16:36 (Show Source):
You can put this solution on YOUR website!Consider the rational expression: (4a^2) / (a^2-81). What values for a would make this expression undefined? What is the other value for a? Explain and demonstrate why? The answer I got was that the expression was undefined because the values for a=9 and 81-81 gives us a denominator of 0.
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(4a^2)/[(a-9)(a+9)]
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Undefined if the denominator is zero.
Undefined if a = 9 or is a = -9
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Demonstration:
If a = 9 you get:
(4*81)/[(0*18)] = 324/0 which is undefined.
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If a = -9 you get:
(4*81)/[-18*0] = 324/0 which is undefined.
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Cheers,
Stan H.
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Miscellaneous_Word_Problems/731580: If a $25 investment is worth $50 today, how long must that $25 have been invested at 6% interest compounded twice a year?
1 solutions
Answer 447181 by stanbon(57387) on 2013-03-28 16:09:12 (Show Source):
You can put this solution on YOUR website!If a $25 investment is worth $50 today, how long must that $25 have been invested at 6% interest compounded twice a year?
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50 = 25(1+(0.06/2))^(2t)
2 = (1.03)^2t
2t = log(2)/log(1.03)
2t = 23.45
t = 11.72 years
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Cheers,
Stan H.
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Miscellaneous_Word_Problems/731579: How long will it take for $500 to double if it is invested at 6% annual interest compounded 12 times a year?
1 solutions
Answer 447180 by stanbon(57387) on 2013-03-28 16:05:21 (Show Source):
You can put this solution on YOUR website!How long will it take for $500 to double if it is invested at 6% annual interest compounded 12 times a year?
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A(t) = P(1+(r/n))^(nt)
2P = P(1+0.06/12)^(12t)
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2 = (1.005)^(12t)
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12t*log(1.005) = log(2)
12t = log(2)/log(1.005)
12t = 138.98
t = 11.58 years
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Cheers,
Stan H.
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Probability-and-statistics/731186:
A coin is flipped 8 times. Find the probability of flipping exactly 6 heads and 2 tails.
1 solutions
Answer 447036 by stanbon(57387) on 2013-03-27 15:33:48 (Show Source):
You can put this solution on YOUR website!A coin is flipped 8 times. Find the probability of
flipping exactly 6 heads and 2 tails.
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Binomial Problem with n = 8 and p(head) = 1/2
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P(x = 6 of 8) = 8C6(1/2)^6(1/2)^2 = 28(1/2)^8 = 0.1094
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Cheers,
Stan H.
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