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logarithm/692321: e^X-5-4

1 solutions

Answer 426966 by Alan3354(31513) About Me  on 2012-12-10 11:59:22 (Show Source):
You can put this solution on YOUR website!
e^X-5-4
-------
= e%5Ex+-+9


Parallelograms/692295: which of the numbers could be parallel
2/3 and -5/3
2/3 and -3/2
2/3 and -2/3
2/3 and 2/3
2/3 and 3/2
1 solutions

Answer 426957 by Alan3354(31513) About Me  on 2012-12-10 11:11:21 (Show Source):
You can put this solution on YOUR website!
which of the numbers could be parallel
2/3 and -5/3
2/3 and -3/2
2/3 and -2/3
2/3 and 2/3
2/3 and 3/2
-------------------
Numbers are not parallel to anything.
What do the numbers represent?


logarithm/692278: Solve 3^x+2=9^x
1 solutions

Answer 426956 by Alan3354(31513) About Me  on 2012-12-10 11:10:22 (Show Source):
You can put this solution on YOUR website!
3^x+2=9^x
3^x+2 = 3^(2x)
3%5E%282x%29+-+3%5Ex+-+2+=+0
Sub y for 3^x
y%5E2+-+y+-+2+=+0
(y-2)*(y+1) = 0
y = 2
3^x = 2
x*log(3) = log(2)
x = log(2)/log(3)
x =~ 0.63093
------------
Ignore the 3^x = -1 answer


logarithm/692282: Find the exact value of the equation Log base of 2 2^-13
1 solutions

Answer 426955 by Alan3354(31513) About Me  on 2012-12-10 10:59:43 (Show Source):
You can put this solution on YOUR website!
Find the exact value of the equation Log base of 2 2^-13
------------
It's not an equation, equations have equal signs.
log%282%2C2%5E-13%29+=+-13


Linear-systems/692247: Solve the system. If the system has infinitely many solutions, write the solution set with x arbitrary.
6x+5y=7
12x+10y=5
1 solutions

Answer 426944 by Alan3354(31513) About Me  on 2012-12-10 09:23:55 (Show Source):
You can put this solution on YOUR website!
6x+5y=7
12x+10y=5
==========
12x+10y=14 Eqn 1 times 2
12x+10y=5
------------- Subtract
0 = 9
--> inconsistent, no solution


Travel_Word_Problems/692042: 15km/hr to 60km/hr going to north of east direction in 20 seconds.
a.)what is the average speed in km/hr and m/s?
b.)what is the average velocity in m/s?
please help me to solve.
1 solutions

Answer 426915 by Alan3354(31513) About Me  on 2012-12-09 19:32:44 (Show Source):
You can put this solution on YOUR website!
15km/hr to 60km/hr going to north of east direction in 20 seconds.
----------------
It's no clear what that means.
Try using a few more words.


Money_Word_Problems/692017: Describe what you recall about simple interest?
1 solutions

Answer 426909 by Alan3354(31513) About Me  on 2012-12-09 18:59:02 (Show Source):
You can put this solution on YOUR website!
Describe what you recall about simple interest?
---------
It's simple. Like this problem.


Problems-with-consecutive-odd-even-integers/692022: The sum of the least and greatest of 3 consecutive integers is 60. What are the values of the 3 inegers?
1 solutions

Answer 426908 by Alan3354(31513) About Me  on 2012-12-09 18:58:06 (Show Source):
You can put this solution on YOUR website!
The sum of the least and greatest of 3 consecutive integers is 60. What are the values of the 3 inegers?
--------------
60/2 = 30 = the middle integer
29. 30 & 31


Trigonometry-basics/691984: I am having trouble using my calculator to solve sec, csc and cot values.
Find sec0 when cos is 97.977
How do you come up with the answer -7.20587921?
Have test in two days and am very frustrated
Thanks for your time.
Cheryl
1 solutions

Answer 426905 by Alan3354(31513) About Me  on 2012-12-09 18:31:04 (Show Source):
You can put this solution on YOUR website!
I am having trouble using my calculator to solve sec, csc and cot values.
Find sec0 when cos is 97.977
How do you come up with the answer -7.20587921?
===============
Most calculators, all I've ever seen, do sine, cosine and tangent.
---
You have to use sec = 1/cos, csc = 1/sin and cot = 1/tan.
======================
Find sec0 when cos is 97.977
-------------
Not sure what you meant there. The cos has a max of 1
If you mean sec(97.977) degs:
sec(97.977) = 1/cos(97.977)
=~ -7.205879213
Must be it, matches your answer.


Equations/691985: Solve the systems algebraically:
y=x^2=4x-2
y=2x+1
1 solutions

Answer 426903 by Alan3354(31513) About Me  on 2012-12-09 18:22:00 (Show Source):
You can put this solution on YOUR website!
y=x^2=4x-2
---------
Too many equal signs.


Expressions-with-variables/691982: -4x+y=11
-5x+3y=5
1 solutions

Answer 426902 by Alan3354(31513) About Me  on 2012-12-09 18:16:52 (Show Source):
You can put this solution on YOUR website!
-4x+y=11
-5x+3y=5
----------------
Multiply the 1st eqn by 3, then subtract.


Trigonometry-basics/691960: Find the exact value of the expression.
csc 60 degrees
The answer is (2squareroots of 3)/3.
I don't know how to solve this.

1 solutions

Answer 426899 by Alan3354(31513) About Me  on 2012-12-09 17:41:29 (Show Source):
You can put this solution on YOUR website!
Find the exact value of the expression.
csc 60 degrees
The answer is (2squareroots of 3)/3.
I don't know how to solve this.
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sin(60) = sqrt(3)/2
csc = 1/sin = 2/sqrt(3)
= 2sqrt(3)/3


Quadratic_Equations/691919: The sum of the squares of three consecutive integers is 2189 . Find the intergers? Please help
1 solutions

Answer 426898 by Alan3354(31513) About Me  on 2012-12-09 17:40:07 (Show Source):
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The sum of the squares of three consecutive integers is 2189 . Find the intergers? Please help
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2189/3 =~ 729
sqrt(729) = 27, the middle number
--> 26, 27 & 28


Polygons/691948: What is the sum of the exterior angles in a regular 13-gon?
1 solutions

Answer 426895 by Alan3354(31513) About Me  on 2012-12-09 17:35:42 (Show Source):
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What is the sum of the exterior angles in a regular 13-gon?
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The sum of exterior angles = 360 degs for ALL polygons. Any number of sides, regular or not.
Including the circle, a polygon with an infinite # of sides.


Trigonometry-basics/691951: Use a calculator to find the function value. Give your answer rounded to seven decimal places, if necessary.
cosine 205 degrees and 3 minutes. the correct answer is -.9059386.
I don't know how to solve this.
1 solutions

Answer 426894 by Alan3354(31513) About Me  on 2012-12-09 17:33:59 (Show Source):
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cosine 205 degrees and 3 minutes. the correct answer is -.9059386.
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3' = 3/60 degs = 0.05
--> 205.05 degs
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then you use a calculator


Complex_Numbers/691888: Hi,
Thank you so much for helping me, as I can't learn under my current Algebra 2 teacher.
Solve or Simplify the problem using any method (what my textbook says):
7/4 + 2/3 y^2= 13y/6
1 solutions

Answer 426888 by Alan3354(31513) About Me  on 2012-12-09 16:19:19 (Show Source):
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7/4 + 2/3 y^2= 13y/6
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Step 1, eliminate fractions by multiplying thru by 12.
21 + 8y^2 = 26y
8y%5E2+-+26y+%2B+21+=+0
(2y-3)*(4y-7) = 0
y = 3/2
y = 7/4


Miscellaneous_Word_Problems/691903: a 22-foot ladder is leaning against a house with the base of the ladder 4 feet from the house. how high up the house the ladder reach?
1 solutions

Answer 426886 by Alan3354(31513) About Me  on 2012-12-09 16:15:14 (Show Source):
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a 22-foot ladder is leaning against a house with the base of the ladder 4 feet from the house. how high up the house the ladder reach?
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The ladder is the hypotentuse of a right triangle.
22%5E2+=+h%5E2+%2B+4%5E2


Volume/691866: Each cylinder (there are six cylinders total) is 2.5 feet in diameter and 10 feet long. How much steel is needed to make the cylinders?
1 solutions

Answer 426885 by Alan3354(31513) About Me  on 2012-12-09 16:13:45 (Show Source):
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Each cylinder (there are six cylinders total) is 2.5 feet in diameter and 10 feet long. How much steel is needed to make the cylinders?
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You have to know the thickness of the walls.


Miscellaneous_Word_Problems/691899: the two legs of a right triangle are 8 inches and 3 inches. find the hypotenuse of the triangle.
1 solutions

Answer 426882 by Alan3354(31513) About Me  on 2012-12-09 16:10:34 (Show Source):
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the two legs of a right triangle are 8 inches and 3 inches. find the hypotenuse of the triangle.
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c%5E2+=+a%5E2+%2B+b%5E2+=+8%5E2+%2B+3%5E2


logarithm/691891: Please help me in finding out how do I evaluate Log 500 - Log 5?
Thank you

1 solutions

Answer 426881 by Alan3354(31513) About Me  on 2012-12-09 16:07:29 (Show Source):
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Please help me in finding out how do I evaluate Log 500 - Log 5?
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Subtracting logs ---> division


Numeric_Fractions/691825: how to solve (1/4)(x)=(10)(1 3/8)
thank you
1 solutions

Answer 426855 by Alan3354(31513) About Me  on 2012-12-09 14:19:34 (Show Source):
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how to solve (1/4)(x)=(10)(1 3/8)
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Step 1, multiply thru by 8 to eliminate the fractions.


Trigonometry-basics/691783: Please help me prove these following identities with explanation, thanks <3
1.) +csc%5E2%28theta%29+-+csc%5E2%28theta%29+cos%5E2%28theta%29+=+1+
2.) +sin%28theta%29+%2F+cos%28theta%29+%2B+cos%28theta%29+=+sec%28theta%29+
3.) +tan%5E2%28theta%29+%2F+%281+%2B+sec%28theta%29%29+%2B+1+=+sec%28theta%29+
4.) +2cos%5E2%28theta%29+-+1+=+1+-+2sin%5E2%28theta%29+
5.) +tan%5E2%28theta%29+=+%281%2Btan%5E2%28theta%29%29+%281-cos%5E2%28theta%29%29+

1 solutions

Answer 426853 by Alan3354(31513) About Me  on 2012-12-09 14:18:29 (Show Source):
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Please help me prove these following identities with explanation, thanks <3
1.) +csc%5E2%28theta%29+-+csc%5E2%28theta%29+cos%5E2%28theta%29+=+1+
2.) +sin%28theta%29+%2F+cos%28theta%29+%2B+cos%28theta%29+=+sec%28theta%29+
3.) +tan%5E2%28theta%29+%2F+%281+%2B+sec%28theta%29%29+%2B+1+=+sec%28theta%29+
4.) +2cos%5E2%28theta%29+-+1+=+1+-+2sin%5E2%28theta%29+
5.) +tan%5E2%28theta%29+=+%281%2Btan%5E2%28theta%29%29+%281-cos%5E2%28theta%29%29+
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That's a lot of problems.
Convert everything to sines and cosines, see what you can do.
email via the Thank You note if you need further assistance.


Exponential-and-logarithmic-functions/691818: Log 1/10 = -1
write as an exponential. How is this solved.
1 solutions

Answer 426852 by Alan3354(31513) About Me  on 2012-12-09 14:14:26 (Show Source):
You can put this solution on YOUR website!
Log 1/10 = -1
write as an exponential. How is this solved.
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Equations are solved.
You'll see an equation, and, "Solve for x." or some other variable.
log(1/10) = -1 is just rewritten into exponential form.
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The thing to remember is that the log is the exponent. If it were called something that alluded to exponents, it would be easier to understand, but we're stuck with logs.
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log(1/10) = -1
10 is the base, -1 is the exponent.
10%5E%28-1%29+=+1%2F10
That's it.


Functions/691807: Can you find the function rule for: (10,200),(11,202),(12,204),(13,206)?
1 solutions

Answer 426848 by Alan3354(31513) About Me  on 2012-12-09 13:45:51 (Show Source):
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Can you find the function rule for: (10,200),(11,202),(12,204),(13,206)?
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Yes, I can.
Notice that the x values increase by 1, and the y's by 2.


test/691799: why do people invest in portfolio?
1 solutions

Answer 426847 by Alan3354(31513) About Me  on 2012-12-09 13:44:46 (Show Source):
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why do people invest in portfolio?
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What is portfolio?
And, you'll have to ask people.


logarithm/691804: Find the function value. If the result is irrational, round your answer to the nearest thousandth.
Let f(x) = 6^x. Find f(-2)
1 solutions

Answer 426845 by Alan3354(31513) About Me  on 2012-12-09 13:42:02 (Show Source):
You can put this solution on YOUR website!
Find the function value. If the result is irrational, round your answer to the nearest thousandth.
Let f(x) = 6^x. Find f(-2)
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Sub -2 for x


expressions/691688: find y
a(y-a)-2b(y-3b)= ab

1 solutions

Answer 426816 by Alan3354(31513) About Me  on 2012-12-09 09:36:32 (Show Source):
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find y
a(y-a)-2b(y-3b)= ab
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Expand everything
ay+-+a%5E2+-+2by+%2B+6b%5E2+=+ab
Collect the y terms
ay+-+2by+-+a%5E2+%2B+6b%5E2+=+ab
Factor out the y's
y%2A%28a+-+2b%29+-+a%5E2+%2B+6b%5E2+=+ab
y%2A%28a+-+2b%29+=+a%5E2+-+6b%5E2+%2B+ab
y+=+%28a%5E2+-+6b%5E2+%2B+ab%29%2F%28a+-+2b%29


Triangles/691702: the sides of a right angled triangle have lengths (x-3) cm, (x+11) cm, and 2x cm, where 2x is the hypotenuse. Find x.
1 solutions

Answer 426814 by Alan3354(31513) About Me  on 2012-12-09 09:19:03 (Show Source):
You can put this solution on YOUR website!
the sides of a right angled triangle have lengths (x-3) cm, (x+11) cm, and 2x cm, where 2x is the hypotenuse. Find x.
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%28x-3%29%5E2+%2B+%28x%2B11%29%5E2+=+%282x%29%5E2
x%5E2+-+6x+%2B+9+%2B+x%5E2+%2B+22x+%2B+121+=+4x%5E2
16x+%2B+130+=+2x%5E2
x%5E2+-+8x+%2B+65+=+0
x = 13


Expressions-with-variables/691697: -x+y=5
x-5y=-9
1 solutions

Answer 426813 by Alan3354(31513) About Me  on 2012-12-09 09:17:57 (Show Source):
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-x+ y =5
x -5y=-9
---------- Add


test/691710: What is the formula for initial velocity, and how do I use it when dealing with ballistic trajectories. I have an ANGLE:30 degrees DISTANCE:232 meters spent TIME:5.2 seconds in the air.
1 solutions

Answer 426812 by Alan3354(31513) About Me  on 2012-12-09 09:16:57 (Show Source):
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What is the formula for initial velocity, and how do I use it when dealing with ballistic trajectories. I have an ANGLE:30 degrees DISTANCE:232 meters spent TIME:5.2 seconds in the air.
===========================
The horizontal speed = 232/5.2 m/sec
@ 30 degs, horizontal speed = muzzle speed*cos(30)


logarithm/691704: log(x+3)=2+log(x)
Can this problem be solved? I do not know what to do with 2+log(x)
Thank you!
1 solutions

Answer 426809 by Alan3354(31513) About Me  on 2012-12-09 09:06:42 (Show Source):
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log(x+3)=2+log(x)
log(x+3)= log(100) + log(x)
log(x+3) = log(100x)
x + 3 = 100x
x = 3/99
x = 1/33