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Alan3354 answered: 30973 problems
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Polygons/599488: In a regular polygon, each central angle measures 15 degrees. How many sides does the polygon have?
1 solutions

Answer 378983 by Alan3354(30993) About Me  on 2012-04-16 09:18:02 (Show Source):
You can put this solution on YOUR website!
360/15 = 24 sides


Surface-area/599406: Can you please tell me how to find the surface area of a equilateral triangular prism?
1 solutions

Answer 378936 by Alan3354(30993) About Me  on 2012-04-15 22:07:12 (Show Source):
You can put this solution on YOUR website!
Can you please tell me how to find the surface area of a equilateral triangular prism?
--------
If s = sides of the triangle, and L = length,
you have 3 rectangles that are s*L in area.
Add the area of the ends, if necessary


Exponents/599410: I want to solve the exponential equation 2^x^3 + 5 = 0, where x^3 is the exponent to 2, but I can't take the (ln) of a negative number.

1 solutions

Answer 378935 by Alan3354(30993) About Me  on 2012-04-15 22:04:48 (Show Source):
You can put this solution on YOUR website!
I want to solve the exponential equation 2^x^3 + 5 = 0, where x^3 is the exponent to 2, but I can't take the (ln) of a negative number.
---------
2%5E%28x%5E3%29+=+-5
That's right, you can't.
There is no exponent that will give a result of -5.
No solution.


Inequalities/599403: a + 18< 37
solve the inequality
a: a > 18
b: a > 19
c: a < 19
d: a < 18
1 solutions

Answer 378932 by Alan3354(30993) About Me  on 2012-04-15 21:54:46 (Show Source):
You can put this solution on YOUR website!
a + 18< 37
-------
Subtract 18 from both sides


Quadratic-relations-and-conic-sections/599381: Im doing Conic section and my homework asks me to graph y=%28x-2%29%5E2-3 im totally stumped. if you could help me that would be very appricated.

1 solutions

Answer 378931 by Alan3354(30993) About Me  on 2012-04-15 21:53:52 (Show Source):
You can put this solution on YOUR website!
graph y=%28x-2%29%5E2-3
-----------
Pick values for x and find y.
Plot the points
Draw a curve thru them.
-----
x = 0, y = 1 --> (0,1)
x = 2, y = -3 --> (2,-3)
x = 2.2, y = -2.96 --> (2.2,-2.96)
etc
Make as many point as you need.
Use Excel to make the points


Exponential-and-logarithmic-functions/599373: Evaluate to 4 decimal places
a. log691,450
b. log(9)78
1 solutions

Answer 378924 by Alan3354(30993) About Me  on 2012-04-15 21:29:37 (Show Source):
You can put this solution on YOUR website!
Evaluate to 4 decimal places
a. log691,450
=~ 5.8398
-------------
b. log(9)78
If you mean base 9:
= log(78)/log(9)
=~ 1.9828


Triangles/599310: how do you solve the triangle A=150 degreess, C=20 degrees, a= 200

1 solutions

Answer 378902 by Alan3354(30993) About Me  on 2012-04-15 19:43:55 (Show Source):
You can put this solution on YOUR website!
how do you solve the triangle A=150 degreess, C=20 degrees, a= 200
-----------
Find the 3rd angle, then use the Sine Law.


Complex_Numbers/599273: need help with this problem i^-10
1 solutions

Answer 378901 by Alan3354(30993) About Me  on 2012-04-15 19:43:03 (Show Source):
You can put this solution on YOUR website!
need help with this problem i^-10
-------
i%5E-10+=+1%2Fi%5E10+=+i%5E2%2Fi%5E12+=+-1


Polynomials-and-rational-expressions/599275: I'm trying to factor this problem. So far I'm at x2-9-40. x2 means x to the second power.
1 solutions

Answer 378896 by Alan3354(30993) About Me  on 2012-04-15 19:24:40 (Show Source):
You can put this solution on YOUR website!
I'm trying to factor this problem. So far I'm at x2-9-40. x2 means x to the second power.
------------------
x%5E2-9-40+=+x%5E2+-+49


Numbers_Word_Problems/599281: Find the two greatest consecutive integers whose sum is less than 100.
1 solutions

Answer 378880 by Alan3354(30993) About Me  on 2012-04-15 18:46:33 (Show Source):
You can put this solution on YOUR website!
Find the two greatest consecutive integers whose sum is less than 100.
-------
49 & 50


Trigonometry-basics/599248: A CD player spins at about 200 revolutions per minute. Through what angle does a point on the edge of the CD spin in one minute?
1 solutions

Answer 378879 by Alan3354(30993) About Me  on 2012-04-15 18:38:21 (Show Source):
You can put this solution on YOUR website!
A CD player spins at about 200 revolutions per minute. Through what angle does a point on the edge of the CD spin in one minute?
----------------
200 revs = 200*360 deg = 72000 degrees
or = 200*2pi radians = 400*pi radians
-------------
All points spin thru the same angle.


Rational-functions/599181: x^2-4/x
1 solutions

Answer 378870 by Alan3354(30993) About Me  on 2012-04-15 17:04:51 (Show Source):
You can put this solution on YOUR website!
x^2-4/x
---------
Do you have a question?


test/599035: How do i solve my hw equations and expressions?
1 solutions

Answer 378788 by Alan3354(30993) About Me  on 2012-04-15 09:34:09 (Show Source):
You can put this solution on YOUR website!
How do i solve my hw equations and expressions?
---------
You solve equations by isolating the variable.
Expressions are not solved.


Travel_Word_Problems/599016: If a car is traveling at a speed of 80miles per hour. How many miles would the car take to travel 80 miles?:)
1 solutions

Answer 378785 by Alan3354(30993) About Me  on 2012-04-15 09:29:04 (Show Source):
You can put this solution on YOUR website!
If a car is traveling at a speed of 80miles per hour. How many miles would the car take to travel 80 miles?:)
-----------
1 mile per mile --> 80 miles


Polynomials-and-rational-expressions/598991: I dont understand what I am doing wrong, as I am off by a number or a value, or my factors are backwards, which I didn't think really mattered. UGH ! ! ! I refer to myself as a "MATH IDIOT" and am in need of a response from someone who can explain each step as they go, as just providing me with shortcuts and an answer is not going to help me on my upcoming final. This is my last class before applying to the RN program, and I desperately need to understand what it is that I am doing wrong. I have watched many YouTube videos, referenced "Algebra for Idiots" and "Algebra for Dummies" and the "Humongous Book of Algebra Problems Solved" and I am such a math illiterate, that I just don't see where my mistake is :) Thank you for your response :) I am getting 1/2 of the answer correct, while the other part of the equation is supposed to be an (m-a number) or (m+a number) and instead I am writing the second number, as a number, and the sum of two terms to make that number. Again, thank you so much for your help.
4m^2-18m+14
15m^3+24m^2+9m
15m^2-10m-25
50m^3-2m
3m^2-10m+8
60m^3+54m^2-6m

1 solutions

Answer 378759 by Alan3354(30993) About Me  on 2012-04-15 06:09:33 (Show Source):
You can put this solution on YOUR website!
You didn't say what you want to do with these.
Factor them?
What do you mean by "backwards?"
---------------
4m^2-18m+14
All the coefficients are even, 2 is a factor.
= 2*(2m^2 - 9m + 7)
It will have to be (m + ??)*(2m + ??), or
(m + a)*(2m + b)
a & b have to be 1 & 7, the only factors of 7.
The product a*b is positive, so a & b have the same sign.
The m term is negative, so a & b are negative.
-----
Only 2 possibilities:
(m - 1)*(2m - 7) or (m - 7)*(2m - 1)
------
--> 2(m - 1)(2m - 7)
========================
15m^3+24m^2+9m
All coeff's divisible by 3
-------------
15m^2-10m-25 *** Factor of 5
------
50m^3-2m *** Factor of 2m
------
3m^2-10m+8
Similar to the first one.
------
60m^3+54m^2-6m *** Factor of 6m


Rate-of-work-word-problems/598997: draw a path 50 m in home lawn and find how long it take to walk 1 km
1 solutions

Answer 378758 by Alan3354(30993) About Me  on 2012-04-15 05:23:23 (Show Source):
You can put this solution on YOUR website!
draw a path 50 m in home lawn and find how long it take to walk 1 km
----------------
How long did it take?


Linear_Equations_And_Systems_Word_Problems/599007: Decide is the given number is a solution to the given equation.
p+6 = 21;15
yes or no
1 solutions

Answer 378757 by Alan3354(30993) About Me  on 2012-04-15 05:21:32 (Show Source):
You can put this solution on YOUR website!
Decide is the given number is a solution to the given equation.
p+6 = 21;15
===========
Sub 15 for p


Complex_Numbers/599005: how can i solved this problem?
1. find the value of x and y in:
x+(y-6)i=5+9i
2. find the two square roots of -i
can you send me as soon as possible the answer?
with the solution..
please..thank you!
1 solutions

Answer 378756 by Alan3354(30993) About Me  on 2012-04-15 04:49:31 (Show Source):
You can put this solution on YOUR website!
1. find the value of x and y in:
x+(y-6)i=5+9i
The real parts are equal x = 5
----
y-6 = 9
===========
2. find the two square roots of -i
r = 1
Angle t = 270 degs
--> 1cis(270)
sqrt = 1cis(135) & 1cis(315)
1cis(135) = 1cos(135) + isin(135)
= %28sqrt%282%29%2F2%29%2A%28-1+%2B+i%29
= %28sqrt%282%29%2F2%29%2A%281+-+i%29


Problems-with-consecutive-odd-even-integers/598950: "what are the real or imaginary solutions of 4x3-6x2=4x"
x(2x-3x)(2x-2x)

1 solutions

Answer 378741 by Alan3354(30993) About Me  on 2012-04-14 21:23:23 (Show Source):
You can put this solution on YOUR website!
"what are the real or imaginary solutions of 4x3-6x2=4x"
----------
4x3-6x2-4x = 0
---
2x%2A%282x%5E2+-+3x+-+2%29+=+0
x = 0
-------
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 2x%5E2%2B-3x%2B-2+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%28-3%29%5E2-4%2A2%2A-2=25.

Discriminant d=25 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--3%2B-sqrt%28+25+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-3%29%2Bsqrt%28+25+%29%29%2F2%5C2+=+2
x%5B2%5D+=+%28-%28-3%29-sqrt%28+25+%29%29%2F2%5C2+=+-0.5

Quadratic expression 2x%5E2%2B-3x%2B-2 can be factored:
2x%5E2%2B-3x%2B-2+=+%28x-2%29%2A%28x--0.5%29
Again, the answer is: 2, -0.5. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+2%2Ax%5E2%2B-3%2Ax%2B-2+%29




Polynomials-and-rational-expressions/598949: (8^2)^-5 how do I simplify this?
1 solutions

Answer 378740 by Alan3354(30993) About Me  on 2012-04-14 21:20:33 (Show Source):
You can put this solution on YOUR website!
(8^2)^-5 how do I simplify this?
= 8%5E2%2A-5
= 8%5E-10
= 1%2F8%5E10
= 1%2F2%5E30
= 1/1073741824
Which is simpler?


�t�e�s�t/598940: Solve the triangle. The Law of Cosines may be needed. (Standard notation for triangle ABC is used throughout. Round your answer to two decimal places. If no such triangle exists, enter 'NONE' in each of the answer blanks.)
a=38,c=77,C=41.7degrees
1 solutions

Answer 378739 by Alan3354(30993) About Me  on 2012-04-14 21:18:29 (Show Source):
You can put this solution on YOUR website!
a=38,c=77,C=41.7degrees
---------
If angle C is opposite side c, use the Sine Law to find angle A.
Then angle B is 180 - the sum of A & C.
-----
Solve for b with Sine Law or Cosine Law.


Graphs/598829: are thes lines parallel, perpendicular or neither?
y= -14x+11 and y= -1/14x-8
1 solutions

Answer 378715 by Alan3354(30993) About Me  on 2012-04-14 13:45:40 (Show Source):
You can put this solution on YOUR website!
Neither
Compare their slopes


Polynomials-and-rational-expressions/598838: x^2-324
1 solutions

Answer 378713 by Alan3354(30993) About Me  on 2012-04-14 12:53:35 (Show Source):
You can put this solution on YOUR website!
x^2-324
-------
Do you have a question?


Money_Word_Problems/598774: if i invest 5000.00 for a grandchild at 7% how much will it be worth when they turn 18??
1 solutions

Answer 378701 by Alan3354(30993) About Me  on 2012-04-14 08:52:57 (Show Source):
You can put this solution on YOUR website!
if i invest 5000.00 for a grandchild at 7% how much will it be worth when they turn 18??
----------
At what age do you make the investment?
How often is the interest compounded?


Graphs/598776: Greeting,
Would u pls help me with this:
Divide and simplify:
{{(a-4)(a+3)/a^2-a} ÷ {2(a-4)/(a+3)(a-1)}}
Thanks a lot,
H.H
P.S:(This is the 3rd time that I am submitting this problem )
1 solutions

Answer 378700 by Alan3354(30993) About Me  on 2012-04-14 08:48:52 (Show Source):
You can put this solution on YOUR website!
{{(a-4)(a+3)/a^2-a} ÷ {2(a-4)/(a+3)(a-1)}}
Invert the divisor and multiply
= %28%28a-4%29%28a%2B3%29%2F%28a%5E2-a%29%29+%2A+%28a%2B3%29%28a-1%29%2F%282%28a-4%29%29
Cancel the (a-4)
= %28%28a%2B3%29%2F%28a%5E2-a%29%29+%2A+%28a%2B3%29%28a-1%29%2F2
Factor a^2-a
= %28a%2B3%29%2F%28a%2A%28a-1%29%29+%2A+%28a%2B3%29%28a-1%29%2F2
Cancel (a-1)
= %28a%2B3%29%2F%28a%29+%2A+%28a%2B3%29%2F2
= %28a%2B3%29%28a%2B3%29%2F2a
----------------
If you showed your attempts, you'd get an answer sooner, rather just posting it repeatedly.
Doing it for you is not tutoring.


Graphs/598778: Hello,
Could you pls help me on this?
Use the quadratic equation y = x^2 + 3x – 10.
Calculate the discriminant to determine the number of real roots
Thanks a lot.

1 solutions

Answer 378697 by Alan3354(30993) About Me  on 2012-04-14 08:37:01 (Show Source):
You can put this solution on YOUR website!
y = x^2 + 3x – 10.
Calculate the discriminant to determine the number of real roots
-------------
Disc+=+b%5E2+-+4ac
a = 1, b = 3, c = -10
Disc = 9 + 40 = 49
----
Disc > 0 --> 2 real roots


Angles/598684: line m 79 degrees line n (8 x - 11) solve they are parallel
1 solutions

Answer 378682 by Alan3354(30993) About Me  on 2012-04-13 21:36:06 (Show Source):
You can put this solution on YOUR website!
line m 79 degrees line n (8 x - 11) solve they are parallel
---------
What are the 2 lines?


Polynomials-and-rational-expressions/598686: Please check my answer:
Short Answer. Find the following product: 7z(-7z^3 + 4z^2 - 9)
-49z^4 + 17z^3 - 63z
1 solutions

Answer 378675 by Alan3354(30993) About Me  on 2012-04-13 20:20:58 (Show Source):
You can put this solution on YOUR website!
Find the following product: 7z(-7z^3 + 4z^2 - 9)
-49z^4 + 17z^3 - 63z
-------------
17?


Trigonometry-basics/598607: express 5sqrt3+-+5i in polar form.
I have tried and tried but cannot come up with an answer for this problem - not one that matches the multiple choice list I was given, anyways.
The given choices are
a: 10(cos 11pi/6 + i sin 11pi/6)
b: 10(cos 11pi/6 - i sin 11pi/6)
c: 5(cos 11pi/6 + i sin 11pi/6)
d: 10(cos 5pi/3 + i sin 5pi/3)
Please help me.
1 solutions

Answer 378672 by Alan3354(30993) About Me  on 2012-04-13 20:14:44 (Show Source):
You can put this solution on YOUR website!
express 5sqrt3+-+5i in polar form.
------------
r+=+sqrt%28%285sqrt%283%29%29%5E2+%2B+5%5E2%29+=+10
------
Angle = arctan(-5/(5sqrt(3)) = -sqrt(3)/3
Angle = 11pi/6
--> 10(cos(11pi/6) + isin(11pi/6))


Travel_Word_Problems/598659: A car is traveling at a rate of 54 miles per hour. What is the car's rate in feet per second? How many feet will the car travel in 15 seconds? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round your answers.
1 solutions

Answer 378671 by Alan3354(30993) About Me  on 2012-04-13 20:08:24 (Show Source):
You can put this solution on YOUR website!
A car is traveling at a rate of 54 miles per hour. What is the car's rate in feet per second? How many feet will the car travel in 15 seconds? In your computations, use the fact that 1 mile is equal to 5280 feet.
----------
1 mile = 5280 feet
1 hour = 3600 seconds
-----------
All you need to know.


test/598616: Need help with a rate of change of function problem. G(x)=x^3-2x+1
From -3 to -2
From -1 to 1
From 1 to 3 I'm just not sure how to set these problems up, and how to work them! Hope you can help! Thank you!
1 solutions

Answer 378652 by Alan3354(30993) About Me  on 2012-04-13 18:02:24 (Show Source):
You can put this solution on YOUR website!
Need help with a rate of change of function problem. G(x)=x^3-2x+1
From -3 to -2
From -1 to 1
From 1 to 3
-------------
G(x)=x^3-2x+1
From -3 to -2
---------
Find G(-3) & G(-2)
G(-3) = (-3)^3 - 2*(-3) + 1 = -27 + 6 + 1 = -20
G(-2) = (-2)^3 - 2*(-2) + 1 = -8 + 4 + 1 = -3
-------
ROC = (-3 - (-20))/(-2 - (-3))
= 17/1
= 17
===========
Do the others the same way.