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Recent problems solved by 'stanbon'
stanbon answered: 57894 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 , 57330..57359 , 57360..57389 , 57390..57419 , 57420..57449 , 57450..57479 , 57480..57509 , 57510..57539 , 57540..57569 , 57570..57599 , 57600..57629 , 57630..57659 , 57660..57689 , 57690..57719 , 57720..57749 , 57750..57779 , 57780..57809 , 57810..57839 , 57840..57869 , 57870..57899, >>Next
test/636927: Please write -0.4 as a fraction or mixed number in simplest form.
1 solutions
Answer 401297 by stanbon(57967)   on 2012-08-12 20:11:42 (Show Source):
You can put this solution on YOUR website! Please write -0.4 as a fraction or mixed number in simplest form.
----
-0.4 = -4/10 = -2/5
========================
Cheers,
Stan H.
================
|
Coordinate-system/636919: The shell fired from the base of the hill follows the parabolic path y=-(x^2/4)+8x with distances in miles. the hill has a slope of 1/4. how far from the gun is the point of impact?
1 solutions
Answer 401296 by stanbon(57967) on 2012-08-12 20:08:21 (Show Source):
You can put this solution on YOUR website!The shell fired from the base of the hill follows the parabolic path y=-(x^2/4)+8x with distances in miles. the hill has a slope of 1/4. how far from the gun is the point of impact?
---
h(x) = (-1/4)x^2 + 8x is path of the shell where x is in seconds.
----------
y = (1/4)x is the equation of the slope of the hill.
---
Find the intersection of the shell path and the hill:
(1/4)x = (-1/4)x^2+8x
(-1/4)x^2 + (31/4)x = 0
Factor:
(-1/4)x[x - 31) = 0
---
Positive solution:
x = 31
--------
To figure out the slant distance sketch the shell path and the hill
---
You have a right triangle with base = 31, height = h(31) = 7.75
--
The slant distance = sqrt[31^2+7.75^2] = 31.95
==================================================================
Cheers,
Stan H.
|
Numeric_Fractions/636915: Please help me a little more...Thank you
6/13 * 7/17
36/48 * 16/45
15/16 * 4/3
3/8 *10/11
5/9 / 30
5/12 / 4/3
18/36 -1/36
1/4 +3/4
7/8 -5/6
3/7 +17/35
1 solutions
Answer 401290 by stanbon(57967) on 2012-08-12 19:34:25 (Show Source):
You can put this solution on YOUR website!6/13 * 7/17 = 42/221
-------------------------------------------
36/48 * 16/45 = (3/4)*(16/45) = (4/15)
-----------------------
15/16 * 4/3 = 5/4
------------------------
3/8 *10/11 = 15/44
--------------------------
5/9 / 30 = 1/(5*6) = 1/30
--------------------------
5/12 / 4/3 = (5/12)*(3/4) = 5/16
--------------------------
18/36 -1/36 = 17/36
------------------------------
1/4 +3/4 = 4/4 = 1
------------------------------
7/8 -5/6 = (42-40)/48 = 1/24
--------------------------------------
3/7 +17/35 = (15+17)/35 = 32/35
==========================================
Cheers,
Stan H.
|
Points-lines-and-rays/636910: 9. Find the x-intercept and the y-intercept for the equation y = -¾x + 3
1 solutions
Answer 401287 by stanbon(57967) on 2012-08-12 19:22:41 (Show Source):
You can put this solution on YOUR website!Find the x-intercept and the y-intercept for the equation y = -¾x + 3
---
y-intercept:
Let x = 0, then y = 3
-----------------------------
x-intercept:
Let y = 0, then (-3/4)x = -3 and x = 4
-------------------------------------------
Cheers,
Stan H.
|
Age_Word_Problems/636914: a carpenter bought 10 item. some cost 40 and the remaining 30.50. how many of each were bought if the total was 362
1 solutions
Answer 401285 by stanbon(57967) on 2012-08-12 19:16:56 (Show Source):
You can put this solution on YOUR website!a carpenter bought 10 item. some cost 40 and the remaining 30.50. how many of each were bought if the total was 362
-----
quantity equation: f + t = 10
value equation:: 40f +30.5t = 362
---------------------------------------
Modify the equations:
400f + 400t = 4000
400f + 305t = 3620
--------------------------
Subtract and solve for "t":
95t = 380
---
t = 4 (# of 30.5 items)
---
Solve for "f":
f + t = 10
f = 4 = 10
f = 6 (# of 40 items)
========================
Cheers,
Stan H.
|
Quadratic-relations-and-conic-sections/636912: Find vertex and focus of parabola
4y = x squared - 12x + 52
How do you do this one?
1 solutions
Answer 401283 by stanbon(57967) on 2012-08-12 19:08:49 (Show Source):
You can put this solution on YOUR website!Find vertex and focus of parabola
4y = x squared - 12x + 52
----
Complete the square:
4y = x^2-12x+36 + 16
---
y = (1/4)(x-6)^2 + 4
---
Vertex: (6,4)
----
To find the focus:
4p = 1/4
p = 1/16
----
Focus is 1/16 above the vertex:
Focus: (6 , 4+(1/16)) or (6,67/16)
=========================================
Cheers,
Stan H.
=================
|
Linear-equations/636913: Write an equation in slope-intercept form of the line satisfying the given conditions. The line passes through (9, -5) and is parallel to the line whose equation is y=3x + 4. Type the slope-intercept form of the equation of the line.
1 solutions
Answer 401282 by stanbon(57967) on 2012-08-12 19:02:50 (Show Source):
You can put this solution on YOUR website!Write an equation in slope-intercept form of the line satisfying the given conditions. The line passes through (9, -5) and is parallel to the line whose equation is y=3x + 4. Type the slope-intercept form of the equation of the line.
--------
The given line has slope = 3
----
Equation Form: y = mx + b
---
Substitute for y,x,m and solve for "b":
-5 = 3*9 + b
b = -32
--------
Equation:
y = 3x - 32
=================
Cheers,
Stan H.
==================
|
�t�e�s�t/636872: I'm unsure of the equation it is but the problem is:
3x^2-12/x^2-6x-16 X x^2+x+1/3x^2+6x+3
I was able to get this far:
3(x-2)/x-8 X x^2+x+1/3(x+1)(x+1)
Could you help me figure out how to finish solving the equation?
1 solutions
Answer 401280 by stanbon(57967) on 2012-08-12 18:49:15 (Show Source):
You can put this solution on YOUR website!3x^2-12/x^2-6x-16 X x^2+x+1/3x^2+6x+3
-----
[3(x^2-4)]/[(x-8)(x+2)] * [(x^2+x+1)/(3(x^+2x+1)]
------
= [(x-2)/(x-8)] * [(x^2+x+1)/(x^2+2x+1)]
------
Cheers,
Stan H.
=============
|
Functions/636879: For the function f defined by f(x)= 4x/x^2+9 find the following values
a. F(-5)
b. F(-x)
c. –f(x)
d. F(x+h)
1 solutions
Answer 401270 by stanbon(57967) on 2012-08-12 16:23:55 (Show Source):
You can put this solution on YOUR website!For the function f defined by f(x)= 4x/x^2+9 find the following values
a. F(-5)
b. F(-x)
c. –f(x)
d. F(x+h)
----------------
Is your F function the same as your f function?
Cheers,
Stan H.
|
Square-cubic-other-roots/636873: Every time I type in my equation ((√x^3y^3)^1/3)^-1, I get an error....
ERROR: Invalid expression '√x^3y^3)^1/3)^-1': syntax error at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 190. . SIMPLIFIER INPUT ERROR: '((√x^3y^3)^1/3)^-1', Invalid expression '√x^3y^3)^1/3)^-1': syntax error at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 190.
I don't know how else to type the equation.
Please Help
Sean F.
1 solutions
Answer 401269 by stanbon(57967) on 2012-08-12 16:16:24 (Show Source):
You can put this solution on YOUR website!((√(x^3y^3))^1/3)^-1
----
[(xy)^3]^(1/6)]^-1
-----
= 1/[xy)^(1/2)
----
OR
= 1/sqrt(xy)
====================
Cheers,
Stan H.
================
|
Numeric_Fractions/636862: Can I get help with these please.
4 4/5 / 8/15
5 6/7 + 4 5/8
2 3/8 + 3 3/4
4 5/9 - 7/8
8 2/7 - 3 1/3
1 solutions
Answer 401255 by stanbon(57967) on 2012-08-12 15:18:59 (Show Source):
You can put this solution on YOUR website!4 4/5 / 8/15 = (24/5)/(8/15) = (24/5)*(15/8) = 3*3 = 9
------------------------------------
5 6/7 + 4 5/8 = (41/7)+(37/8) = (8*41+7*37)/(7*8) = 587/56
------------------------------------
2 3/8 + 3 3/4 = (19/8) + (15/4) = (19 + 30)/8 = 49/8
----------------------------------------
4 5/9 - 7/8 = (41/9) - (7/8) = (8*41-9*7)/(9*8) = 262/75
---------------------
8 2/7 - 3 1/3 = (58/7) - (10/3) = (3*58-7*10)/(7*3) = 104/21
==============
Cheers,
Stan H.
|
Travel_Word_Problems/636847: The distance between train station A and train station B is 180 kilometers. Train station C is between station A and station B, and is located 30 kilometers away from station A. At 7 AM, a freight train left from station A to station B and at 8 AM, a passenger train left from station C to station B. The speed of the passenger train is 30 km/hour greater than the freight train.
The passenger train arrived to station B 20 minutes earlier than the freight train arrived to station B.
What is the speed of the freight train?
Thanks so much for your time! :)
1 solutions
Answer 401254 by stanbon(57967) on 2012-08-12 15:06:04 (Show Source):
You can put this solution on YOUR website!The distance between train station A and train station B is 180 kilometers. Train station C is between station A and station B, and is located 30 kilometers away from station A.
---
Draw that picture:
30 km from A to C
180 km from A to B
150 km from C to B
A......30km.....C.............130km......B
==========================================================
At 7 AM, a freight train left from station A to station B and at 8 AM, a passenger train left from station C to station B. The speed of the passenger train is 30 km/hour greater than the freight train.
The passenger train arrived to station B 20 minutes earlier than the freight train arrived to station B.
----
Freight DATA:
rate = x kmh ; distance = 180 km ; time = d/r = 180/(x) hrs
------------
Passenger DATA:
rate = x+30 kmh ; distance = 130 km ; time = d/r = 130/(x+30) hrs
----------
What is the speed of the freight train?
Equation:
freight - pass = 1/3 hr
180/x - 130/(x+30) = 1/3
----
3*180(x+30) - 3*130x= x(x+30)
540x + 16200 - 390x = x^2+30x
x^2 - 120x - 16200 = 0
---
x = 200 kmh (freight rate)
x+30 = 230 kmh (passenger rate)
=================================================
Cheers,
Stan H.
|
Travel_Word_Problems/636845: If a man can run 10 miles per hour, how many feet per second is he running?
1 solutions
Answer 401249 by stanbon(57967) on 2012-08-12 14:28:47 (Show Source):
You can put this solution on YOUR website!If a man can run 10 miles per hour, how many feet per second is he running?
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10(miles/hr)*(5280/1)(feet/mile)*(1 / 3600)(hrs/seconds)
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=(10*5280*1)/(1*1*3600)(feet/second)
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= 14 2/3 (feet/second)
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Cheers,
Stan H.
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real-numbers/636779: you know that 1/7.can you predict what is the decimal expansions of 2/7,3/7,4/7,5/7,6/7are,without actually doing the long division ? how?
1 solutions
Answer 401224 by stanbon(57967) on 2012-08-12 11:27:39 (Show Source):
You can put this solution on YOUR website!you know that 1/7.can you predict what is the decimal expansions of 2/7,3/7,4/7,5/7,6/7are,without actually doing the long division ? how?
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Multiply 1/7 by 2, then 3, then 4...etc.
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Cheers,
Stan H.
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Travel_Word_Problems/636790: Victor traveled from Tucson to Boston at 60 mph. Wanda traveled from Boston to Tucson and made the trip in four hours less than victor but by traveling at 65 mph. Find the distance between Boston and Tucson.
1 solutions
Answer 401221 by stanbon(57967) on 2012-08-12 11:23:05 (Show Source):
You can put this solution on YOUR website!Victor traveled from Tucson to Boston at 60 mph. Wanda traveled from Boston to Tucson and made the trip in four hours less than victor but by traveling at 65 mph. Find the distance between Boston and Tucson.
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Victor DATA:
rate = 60 mph ; distance = x miles; time = x/60 hrs
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Wanda DATA:
rate = 65 mph ; distance = x miles ; time = x/65 hrs
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Equation:
time - time = 4 hrs
x/60 - x/65 = 4
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(65x-60x) = 4*60*65
x = 4*12*65
x = 3120 miles
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Cheers,
Stan H.
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logarithm/636781: Write in expanded form: log b [on the bottom] ((x^3y^2)/sqrt(w))
1 solutions
Answer 401217 by stanbon(57967) on 2012-08-12 11:13:47 (Show Source):
You can put this solution on YOUR website!Write in expanded form:
log b ((x^3y^2)/sqrt(w))
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= logb(x^3y^2) - logb(sqrt(w))
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= logb(x^3) + logb(y^2) - (1/2)logb(w)
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= 3logb(x) + 2logb(y) - (1/2)logb(w)
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Cheers,
Stan H
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test/636647: For the given functions f and g, find the following and state the domain for each result.
f(x)= sqrt x; g(x)= 6x-5
a) (f*g)(x)=
b) what is the domain of f*g
c) (f/g)(x)=
1 solutions
Answer 401167 by stanbon(57967) on 2012-08-11 21:22:35 (Show Source):
You can put this solution on YOUR website!For the given functions f and g, find the following and state the domain for each result.
f(x)= sqrt x; g(x)= 6x-5
a) (f*g)(x)=(sqrt(x))(6x-5) = 6x^(3/2) - 5x^(1/2)
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b) what is the domain of f*g
Domain: All Real Numbers >= zero
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c) (f/g)(x)= sqrt(x)/(6x-5)
Domain: All Real Numbers >= zero excluding x = 5/6
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Cheers,
Stan H.
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Polynomials-and-rational-expressions/636659: Hi, I'm having trouble factoring polynomials including quadratics. I found an answer for almost all of them, until I got to one question with powers higher than to the second, or squared. Here's the problem:
9m(cubed)-7m(to the fourth power)+8m(squared)
1 solutions
Answer 401166 by stanbon(57967) on 2012-08-11 21:15:07 (Show Source):
You can put this solution on YOUR website!9m(cubed)-7m(to the fourth power)+8m(squared)
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-7m^4 + 9m^3 + 8m^2
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Common factor: -m^2
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Factor form:
= -m^2(7m^2 - 9m - 1)
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Cheers,
Stan H.
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Travel_Word_Problems/636657: how far will you travel in 5 minutes running at a rate of 7m/s?
1 solutions
Answer 401165 by stanbon(57967) on 2012-08-11 21:06:27 (Show Source):
You can put this solution on YOUR website!how far will you travel in 5 minutes running at a rate of 7m/s?
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5 min = 5*60 sec = 300 seconds
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distance = rate * time = (7 m/s)(300 s) = 2100 meters
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Cheers,
Stan H.
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Matrices-and-determiminant/636648: Solve using matrices. If the system has no solution, say that it is inconsistent.
2x+y+z=5
4x-y-3z=1
8x+y-z=5
1 solutions
Answer 401164 by stanbon(57967) on 2012-08-11 20:54:52 (Show Source):
You can put this solution on YOUR website!Solve using matrices. If the system has no solution, say that it is inconsistent.
2x+y+z=5
4x-y-3z=1
8x+y-z=5
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The determinant of the coefficient matrix is zero.
The system is inconsistent.
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Cheers,
Stan H.
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Geometry_Word_Problems/636631: I have right triangle. Other angles are 38 and 52. The longest side is 4.25 inches. What length should the other two sides be?
1 solutions
Answer 401155 by stanbon(57967) on 2012-08-11 19:03:32 (Show Source):
You can put this solution on YOUR website!I have right triangle. Other angles are 38 and 52. The longest side is 4.25 inches. What length should the other two sides be?
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3rd angle = (180)-(38+52) = 90 degrees
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So the hypotenuse = 4.25
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Draw the picture.
Side opposite the 38 degree angle = 4.25*sin(38) = 2.62
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Side opposite the 52 degree angle = 4.25sin(52) = 3.35
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Cheers,
Stan H.
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Surface-area/636633: What is the measure of one angle of a regular convex 100-gon?
1 solutions
Answer 401150 by stanbon(57967) on 2012-08-11 18:56:31 (Show Source):
You can put this solution on YOUR website!What is the measure of one angle of a regular convex 100-gon?
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The sum of the exterior angles is 360
Each exterio is 360/100 = 3.6 degrees
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Therefore, each interior angle is 180-3.6 = 176.4 degrees
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Cheers,
Stan H.
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