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Problems-with-consecutive-odd-even-integers/587366: The product of two consecutive negative odd integers is 899. What is the value of the two integers?
1 solutions

Answer 374100 by Alan3354(31487) About Me  on 2012-03-15 16:11:03 (Show Source):
You can put this solution on YOUR website!
The product of two consecutive negative odd integers is 899. What is the value of the two integers?
------------
sqrt%28899%29 = almost 30, the center
--> 29 & 31


Rectangles/587368: If the area of a rectangle is 59 units what would the Length and width be if it has to be a whole number
1 solutions

Answer 374096 by Alan3354(31487) About Me  on 2012-03-15 16:08:51 (Show Source):
You can put this solution on YOUR website!
If the area of a rectangle is 59 units what would the Length and width be if it has to be a whole number
-----------
The only factors of 59 are 1 & 59
---> 1 by 59


Travel_Word_Problems/587376: It takes you 1 1/2 hours to jog 12 miles. What is your average speed in miles per hour?
1 solutions

Answer 374094 by Alan3354(31487) About Me  on 2012-03-15 16:07:40 (Show Source):
You can put this solution on YOUR website!
It takes you 1 1/2 hours to jog 12 miles. What is your average speed in miles per hour?
-----------
d = r*t
r = d/t


Volume/587351: a box is shaped like a rectangular prism.What happens to the volume of the box if you double the length of each edge of the box?
1 solutions

Answer 374076 by Alan3354(31487) About Me  on 2012-03-15 15:22:11 (Show Source):
You can put this solution on YOUR website!
a box is shaped like a rectangular prism.What happens to the volume of the box if you double the length of each edge of the box?
-------
Vol = L*W*H
New Vol = 2L*2W*2H = 8 times the volume


Exponential-and-logarithmic-functions/587356: which of the following shows log27 9=2/3 correctly written in exponential form?
1 solutions

Answer 374074 by Alan3354(31487) About Me  on 2012-03-15 15:17:47 (Show Source):
You can put this solution on YOUR website!
which of the following shows log27 9=2/3 correctly written in exponential form?
----------
Nothing follows.
log%2827%2C9%29+=+2%2F3
Remember the log is the exponent.
The base here is 27
--> 27%5E%282%2F3%29+=+9
-------
It doesn't show well, but the exponent is 2/3.


Sequences-and-series/587333: i dont even know where to start with this problem. -1 < (9-12x)/7 < 8

1 solutions

Answer 374072 by Alan3354(31487) About Me  on 2012-03-15 14:52:57 (Show Source):
You can put this solution on YOUR website!
i dont even know where to start with this problem. -1 < (9-12x)/7 < 8
--------------
Why not multiply everything by 7?


Volume/587319: find the radius of asphere with the following volume
a)972picm^3
b)498pimm^3
c)15 3/16pi m^3
1 solutions

Answer 374064 by Alan3354(31487) About Me  on 2012-03-15 14:00:25 (Show Source):
You can put this solution on YOUR website!
find the radius of asphere with the following volume
a)972picm^3
b)498pimm^3
c)15 3/16pi m^3
==========================
Do them like this:
1. 10 in^3
Vol+=+4%2Api%2Ar%5E3%2F3+=+10
Solve for r
4%2Api%2Ar%5E3+=+30
r%5E3+=+30%2F%284%2Api%29+=+7.5%2Fpi
r+=+root%283%2C%287.5%2Fpi%29%29
r =~ 1.3365 inches
-------------------
You can do that for each one, or do it once and plug in the volumes.
You can make an Excel sheet to do them, too. Make it once, it works forever.
------
Vol+=+4%2Api%2Ar%5E3%2F3
Solve for r
4%2Api%2Ar%5E3+=+3%2AVol
r%5E3+=+3%2AVol%2F%284%2Api%29
r+=+root%283%2C3%2AVol%2F%284%2Api%29%29 inches
----------------
----------------
2. 20 ft^3
3. 0.45 cm^3
4. 0.002 mm^3


Points-lines-and-rays/587290: Write the equation for the vertical line that contains point E(10, –3).
1 solutions

Answer 374049 by Alan3354(31487) About Me  on 2012-03-15 12:02:24 (Show Source):
You can put this solution on YOUR website!
Write the equation for the vertical line that contains point E(10,–3).
---------
"Vertical" usually means parallel to the y-axis.
The line is always the same distance from the y-axis, which is the x value.
--> x = 10
-----------
For all values of y, x = 10
It goes thru the points (10,-3), (10,3), (10,3333), (10,y) etc


Polynomials-and-rational-expressions/587256: (w3 + 64) ÷ (4 + w)
a. w² - 4w - 16
b. w² + 4w - 16
c. w² - 4w + 16

1 solutions

Answer 374048 by Alan3354(31487) About Me  on 2012-03-15 11:53:03 (Show Source):
You can put this solution on YOUR website!
(w3 + 64) ÷ (4 + w)
a. w² - 4w - 16
b. w² + 4w - 16
c. w² - 4w + 16
--------------
You can try each answer, see which is correct, if any.
Or, divide and see what that answer is.
%28w%5E3+%2B+64%29%2F%28w%2B4%29
-----------
Look at the sum of 2 cubes:
a%5E3+%2B+b%5E3+=+%28a%2Bb%29%2A%28a%5E2+-+ab+%2B+b%5E2%29


Surface-area/587280: what is the surface area of a cylinder with 3 foot radius and a 10 fooheight

1 solutions

Answer 374047 by Alan3354(31487) About Me  on 2012-03-15 11:49:40 (Show Source):
You can put this solution on YOUR website!
what is the surface area of a cylinder with 3 foot radius and a 10 fooheight
----------------
The area of each end is pi%2Ar%5E2
The lateral area is 2%2Api%2Ar%2Ah


Triangles/587291: An Isosceles tringle with base 10 and perimeter 36?
1 solutions

Answer 374045 by Alan3354(31487) About Me  on 2012-03-15 11:48:11 (Show Source):
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An Isosceles tringle with base 10 and perimeter 36?
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what about it?


Volume/587255: A right cylinder has a radious of 6 inches and a heigh of 8 inches i want to find the lateral area of the cylinder
1 solutions

Answer 374040 by Alan3354(31487) About Me  on 2012-03-15 11:23:21 (Show Source):
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A right cylinder has a radious of 6 inches and a heigh of 8 inches i want to find the lateral area of the cylinder
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Area+=+2%2Api%2Ar%2Ah sq inches


Problems-with-consecutive-odd-even-integers/587243: What is the slope of the line tangent to the curve 3y^2-2x^2=6-2xy at the point (3,2)?
1 solutions

Answer 374039 by Alan3354(31487) About Me  on 2012-03-15 09:51:54 (Show Source):
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What is the slope of the line tangent to the curve 3y^2-2x^2=6-2xy at the point (3,2)?
------------
3y^2-2x^2=6-2xy
6ydy - 4xdx = -2(xdy + ydx) = -2xdy - 2ydx
6ydy + 2ydy = -2ydx + 4xdx
4ydy = (2x - y)dx
dy/dx = (2x - y)/4y
----------------------
f'(3,2) = (6 - 2)/(4*2) = 1/2
Tangent line: 2y = x + 1


Problems-with-consecutive-odd-even-integers/587246: What is the area of the quadrilateral with vertices A(0,2), B(15,10), C (15,2), & D(0,-18)?
1 solutions

Answer 374038 by Alan3354(31487) About Me  on 2012-03-15 09:25:19 (Show Source):
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What is the area of the quadrilateral with vertices A(0,2), B(15,10), C (15,2), & D(0,-18)?
-------------
Make a matrix, 2 by P, the number of points, repeat the first point.
A...B...C...D...A
0..15..15...0...0
2..10...2..-18..2
---------------------
Add the diagonal products starting at the upper left:
0 + 30 - 270 + 0 = -240
Add the diagonal products starting at the lower left:
30 + 150 + 0 + 0 = 180
--------
The area is 1/2 the ABS of the difference
|-240 - 180| = 420
Area = 210 sq units.
----------------------
It works for all polygons, any number of sides.


Circles/587192: The flight path of Charlie's plane is (x-12)^2+(y-4)^2=9 and the flight path of Jackie's plane is (x-17)^2 + (y-5)^2 = 4.
If Charlie and Jackie are flying their planes at the same altitude, is it likely that the planes will collide at some time? Justify your response, clearly stating any assumptions.
1 solutions

Answer 374036 by Alan3354(31487) About Me  on 2012-03-15 08:01:26 (Show Source):
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The flight path of Charlie's plane is (x-12)^2+(y-4)^2=9 and the flight path of Jackie's plane is (x-17)^2 + (y-5)^2 = 4.
If Charlie and Jackie are flying their planes at the same altitude, is it likely that the planes will collide at some time? Justify your response, clearly stating any assumptions.
-------------
Their flight paths don't intersect, no collision.
They are 2 circles. If you find the difference between the centers, you see it's greater than the sum of their radii --> no intersection.
--------


test/587218: Convert the numeral to a numeral in the base indicated.
16,629 to base 13
1 solutions

Answer 374035 by Alan3354(31487) About Me  on 2012-03-15 07:58:35 (Show Source):
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16,629 to base 13
-----------
13^3 = 2197
16629/2197 = 7 + remainder
rem = 1250
1250/169 = 7 + rem
67
67 = 5*13 + 2
--> 7752


Numbers_Word_Problems/587096: If the sum of two consecutive even integers is 78, find the integers.?
1 solutions

Answer 373981 by Alan3354(31487) About Me  on 2012-03-14 22:12:53 (Show Source):
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If the sum of two consecutive even integers is 78, find the integers.?
-----------
78/2 = 39, the middle
--> 38 & 40


Square-cubic-other-roots/587001: can you help me work through this problem?
cubed root of 81 minus the cubed root of 24
Thank you so much!!
1 solutions

Answer 373958 by Alan3354(31487) About Me  on 2012-03-14 19:28:51 (Show Source):
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cubed [sic] root of 81 minus the cubed [sic] root of 24
------------
It's cube root.
----------
root%283%2C81%29+-+root%283%2C24%29
= root%283%2C27%2A3%29+-+root%283%2C3%2A8%29
= 3root%283%2C3%29+-+2root%283%2C3%29
= root%283%2C3%29


Polygons/586959: i need help with solving polygons.
1 solutions

Answer 373956 by Alan3354(31487) About Me  on 2012-03-14 19:14:45 (Show Source):
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i need help with solving polygons.
----------
Polygons are not solved.
Equations are solved.


Matrices-and-determiminant/586999: Identify the solution to the system of equations.
3x-y=0
4x+2y=1
a.)(-1/2, 3/2)
b.)(1/10, 3/10)
c.)(1/9, 1/3)
d.)no solution
1 solutions

Answer 373955 by Alan3354(31487) About Me  on 2012-03-14 19:11:32 (Show Source):
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Identify the solution to the system of equations.
3x-y=0
4x+2y=1
a.)(-1/2,3/2)
b.)(1/10,3/10)
c.)(1/9,1/3)
d.)no solution
--------------------
You have 3 choices, you can try each one and see if it works.
Sub the values for x & y, and see what works.
-----------
The alternative is to solve the system, which would be more instructive.


Numeric_Fractions/586969: Demuestre Que Los Puntos (1,-3),(3,2)y(-2,4)Son Los Vértices De Un Triangulo Isósceles.
1 solutions

Answer 373954 by Alan3354(31487) About Me  on 2012-03-14 19:02:54 (Show Source):
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Demuestre Que Los Puntos (1,-3),(3,2)y(-2,4)Son Los Vértices De Un Triangulo Isósceles.
----------
find the length of the 3 sides.
If 2 are equal, it's isoceles.


Polynomials-and-rational-expressions/586995: 27y squared - 48y to the fourth power

1 solutions

Answer 373953 by Alan3354(31487) About Me  on 2012-03-14 18:57:27 (Show Source):
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27y squared - 48y to the fourth power
==================
What about it?


�t�e�s�t/586989: how do you do Pythagorean Theorem with diagonals
1 solutions

Answer 373952 by Alan3354(31487) About Me  on 2012-03-14 18:56:47 (Show Source):
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how do you do Pythagorean Theorem with diagonals
-----------
Same as any Pythagorean Theorem application.


Radicals/586965: The formula for the volume of a sphere is V=4/3πr^3. Find the radius of a sphere with each volume.
1. 10 in^3
2. 20 ft^3
3. 0.45 cm^3
4. 0.002 mm^3
I tried doing the problems like this: 10/4/3π; it's not the right way, but I don't know how. It has to be answered as a radical expression. How do I do that?
1 solutions

Answer 373950 by Alan3354(31487) About Me  on 2012-03-14 18:26:57 (Show Source):
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The formula for the volume of a sphere is V=4/3πr^3. Find the radius of a sphere with each volume.
1. 10 in^3
Vol+=+4%2Api%2Ar%5E3%2F3+=+10
Solve for r
4%2Api%2Ar%5E3+=+30
r%5E3+=+30%2F%284%2Api%29+=+7.5%2Fpi
r+=+root%283%2C%287.5%2Fpi%29%29
r =~ 1.3365 inches
-------------------
You can do that for each one, or do it once and plug in the volumes.
You can make an Excel sheet to do them, too. Make it once, it works forever.
------
Vol+=+4%2Api%2Ar%5E3%2F3
Solve for r
4%2Api%2Ar%5E3+=+3%2AVol
r%5E3+=+3%2AVol%2F%284%2Api%29
r+=+root%283%2C3%2AVol%2F%284%2Api%29%29 inches
----------------
----------------
2. 20 ft^3
3. 0.45 cm^3
4. 0.002 mm^3
I tried doing the problems like this: 10/4/3π; it's not the right way, but I don't know how. It has to be answered as a radical expression. How do I do that?


Quadratic-relations-and-conic-sections/586749: does the following parabola open down because it is negative or up because the x is squared? y = -2x^2 + 5x - 2
1 solutions

Answer 373867 by Alan3354(31487) About Me  on 2012-03-14 09:45:53 (Show Source):
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does the following parabola open down because it is negative or up because the x is squared? y = -2x^2 + 5x - 2
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The coefficient of the x^2 term is negative --> opens downward
If it's positive, it opens upward.
-----------
If it's a parabola, it will be Ax^2 + Bx + C = 0


Exponential-and-logarithmic-functions/586750: how do i solve: log base 2 8 (log2 8)
1 solutions

Answer 373865 by Alan3354(31487) About Me  on 2012-03-14 09:42:27 (Show Source):
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how do i solve: log base 2 8 (log2 8)
-------
If you mean
log%282%2C%288%2Alog%282%2C8%29%29%29
= log%282%2C%28log%282%2C8%5E8%29%29%29
= log%282%2C%28log%282%2C2%5E24%29%29%29
= log%282%2C24%29
-----------------
For a numerical answer:
= log(24)/log(2)
=~ 4.58496


t e s t/586732: The sum of two nonnegative numbers is 9. Find these two numbers
knowing that the product of one number and the square of the other number
is a maximum.
1 solutions

Answer 373862 by Alan3354(31487) About Me  on 2012-03-14 09:37:05 (Show Source):
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The sum of two nonnegative numbers is 9. Find these two numbers
knowing that the product of one number and the square of the other number
is a maximum.
-----------
P = x^2*(9-x) = 9x^2-x^3
f%28x%29+=+-x%5E3+%2B+9x%5E2+-+P
f'(x) = -3x%5E2+%2B+18x+=+0
-x*(x-6) = 0
--> x = 0, x = 6
================
@ x=6, max value = 3*6^2 = 108


Travel_Word_Problems/586497: Hello I really have trouble in math please solve this and teach me

The car drove 40mi/hr to work and drove back 20mi/hr to go home. How much was the total distance?
1 solutions

Answer 373792 by Alan3354(31487) About Me  on 2012-03-13 20:55:15 (Show Source):
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The car drove 40mi/hr to work and drove back 20mi/hr to go home. How much was the total distance?
--------------
Not enough info.
No times or distances are given.


Proportions/586513: a car travels 220 mi. in 4 h.
1 solutions

Answer 373791 by Alan3354(31487) About Me  on 2012-03-13 20:53:32 (Show Source):
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a car travels 220 mi. in 4 h.
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Do you have a question?


Exponents/586550: Multiplay and express in scientific notation.
(5 x 10^6)(6 x 10^2) = 3.0 x 10 ?
1 solutions

Answer 373789 by Alan3354(31487) About Me  on 2012-03-13 20:52:22 (Show Source):
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Multiplay and express in scientific notation.
(5 x 10^6)(6 x 10^2) = 3.0 x 10 ?
------------
(5 x 10^6)(6 x 10^2) = 30*10^8
= 3.0%2A10%5E9


Surface-area/586535: What is the area if diameter=6in

1 solutions

Answer 373788 by Alan3354(31487) About Me  on 2012-03-13 20:51:05 (Show Source):
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What is the area if diameter=6in
-------
Diameter implies a circle
r = d/2 = 3 inches
Area+=+pi%2Ar%5E2