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Graphs/423826: find the unknown length in the righ trangle
left side of the trangle is 10cm, the right side is 14cm, what is the bottom
1 solutions

Answer 295519 by Alan3354(30968) About Me  on 2011-03-18 10:05:20 (Show Source):
You can put this solution on YOUR website!
If by bottom, you mean the hypotenuse, the long side, it's
c%5E2+=+a%5E2+%2B+b%5E2+=+100+%2B+196
c+=+sqrt%28296%29
c =~ 17.2 cm


Polynomials-and-rational-expressions/423804: im having trouble with factoring polynomials here is an example 7x devided 49
1 solutions

Answer 295497 by Alan3354(30968) About Me  on 2011-03-18 08:03:53 (Show Source):
You can put this solution on YOUR website!
7x/49 = x/7
That's not a polynomial, and not factored, just reduced.


Finance/423802: Could someone please help me solve this problem?
A metal stays solid at Fahrenheit temperature below 1865.9 degrees. Determine ( in terms of an inequality) those Celsius temperature for which metal stays solid, use formula F=9/5c+32
the solution set is {clc<_ degrees}, round to nearest tenth
1 solutions

Answer 295493 by Alan3354(30968) About Me  on 2011-03-18 07:57:07 (Show Source):
You can put this solution on YOUR website!
C = (5/9)*(F - 32)
C = (5/9)*(1865.9 - 32) = 5*1833.9/9
C = 1018.8333...
Solid for temperature < 1018.833 degs C


Numbers_Word_Problems/423773: Find three odd integers whose sum is 45.
1 solutions

Answer 295473 by Alan3354(30968) About Me  on 2011-03-18 01:03:20 (Show Source):
You can put this solution on YOUR website!
45/3 = 15, the middle number


Trigonometry-basics/423742: please help me prove 1/csc x = tan x / sec x
1 solutions

Answer 295455 by Alan3354(30968) About Me  on 2011-03-17 23:07:50 (Show Source):
You can put this solution on YOUR website!
Change it all to sines and cosines.
Always do that.
-----------
tan = sin/cos
csc = 1/sin
sec = 1/cos


Equations/423737: I am having trouble solving for y in the equation:
6-y=-y+2
1 solutions

Answer 295454 by Alan3354(30968) About Me  on 2011-03-17 22:55:35 (Show Source):
You can put this solution on YOUR website!
6-y=-y+2
Add y to both sides
6 = 2
no solution.
It says -y+6 = -y+2
There is no y that satisfies that.


Radicals/423702: What is 65 radical 3?
1 solutions

Answer 295453 by Alan3354(30968) About Me  on 2011-03-17 22:53:49 (Show Source):
You can put this solution on YOUR website!
65sqrt%283%29 ?
=~ 112.5833


Polynomials-and-rational-expressions/423699: i can't solve this
x12th+12x6th+35
x to the 12th power + 12x to the 6th power +35
1 solutions

Answer 295452 by Alan3354(30968) About Me  on 2011-03-17 22:48:00 (Show Source):
You can put this solution on YOUR website!
It's not an equation, so there's nothing to solve.
You can factor it:
x%5E12+%2B+12x%5E6+%2B+35+=+%28x%5E6+%2B+7%29%2A%28x%5E6+%2B+5%29


Functions/423688: What would be the vertex of the following:
f(x)=x^2+10x+9

1 solutions

Answer 295451 by Alan3354(30968) About Me  on 2011-03-17 22:45:57 (Show Source):
You can put this solution on YOUR website!
What would be the vertex of the following:
f(x)=x^2+10x+9
-----------------
The line of symmetry is x = -b/2a
x = -10/2 = -5
The vertex is (-5,f(-5))
= (-5,-16)


Numbers_Word_Problems/423731: the sum of three consecutive integers is 81. What is the largest integer?
1 solutions

Answer 295449 by Alan3354(30968) About Me  on 2011-03-17 22:37:09 (Show Source):
You can put this solution on YOUR website!
81/3 = 27 the middle integer
--> 26, 27, 28


Complex_Numbers/423692: evaluate the expression i^85
1 solutions

Answer 295436 by Alan3354(30968) About Me  on 2011-03-17 21:42:20 (Show Source):
You can put this solution on YOUR website!
i%5E85+=+i
--------------
i%5E1+=+i
i%5E2+=+-1
i%5E3+=+-i
i%5E4+=+1
i%5E5+=+i
i%5E6+=+-1
i%5E7+=+-i
i%5E8+=+1
It repeats each 4th cycle.
i%5E85+=+i%5E%2821%2A4+%2B+1%29+=+i%5E1+=+i


Polynomials-and-rational-expressions/423672: simplify and rewrite without using negative or zero exponents
b^-3d^2/a^0(c^-2)^3
I think its
b^-3d2/a^0c-6
did I do it right or did I get it wrong?
thankyou
1 solutions

Answer 295423 by Alan3354(30968) About Me  on 2011-03-17 20:53:28 (Show Source):
You can put this solution on YOUR website!
simplify and rewrite without using negative or zero exponents
b%5E-3d%5E2%2Fa%5E0%28c%5E-2%29%5E3
= b%5E-3d%5E2%2F%28c%5E-6%29 since a^0 = 1
Multiply NUM and DEN by b%5E3 and by c%5E6
= c%5E6d%5E2%2Fb%5E3
------------------
I think its
b^-3d2/a^0c-6
It is that, but you still have negative exponents, and a zero exponent.


Polynomials-and-rational-expressions/423671: Literal Equations
cd+2 divided by 3 = e
1 solutions

Answer 295422 by Alan3354(30968) About Me  on 2011-03-17 20:50:23 (Show Source):
You can put this solution on YOUR website!
Do you have a question?


Functions/423656: What is the vertex of the equation f(x) = 2(x-4)2+5
1 solutions

Answer 295421 by Alan3354(30968) About Me  on 2011-03-17 20:49:39 (Show Source):
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What is the vertex of the equation f(x) = 2(x-4)^2+5
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(4,5)


Functions/423655: Does the following quadratic have a graph that opens up or opens down?
f(x) = -3x2 + 5x - 7

1 solutions

Answer 295420 by Alan3354(30968) About Me  on 2011-03-17 20:44:26 (Show Source):
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down, since the x^2 term is negative.


Percentage-and-ratio-word-problems/423660: If A is 1/4 and C is 1/10 of a square
what percent of the square is b?

1 solutions

Answer 295419 by Alan3354(30968) About Me  on 2011-03-17 20:43:42 (Show Source):
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A is 1/4 of what square? And C?
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What is the relation of b to A and C?


percentage/423663: What is the circumference to the nearest hundredth by using 3.14 for n?
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Answer 295418 by Alan3354(30968) About Me  on 2011-03-17 20:42:01 (Show Source):
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I think you mean for pi.
Circumference of what?


Volume/423667: What is the smallest number of identical boxes that are needed to make a rectangular prism with the dimensions of 40 x 40 x 60 ?
1 solutions

Answer 295416 by Alan3354(30968) About Me  on 2011-03-17 20:40:47 (Show Source):
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1 will do it, if it's 40 x 40 x 60.
Are there some constraints you didn't mention?


Quadratic_Equations/423668: solve the system of equations what is the solution set
x+5y=6
x=7-5y
1 solutions

Answer 295415 by Alan3354(30968) About Me  on 2011-03-17 20:39:02 (Show Source):
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x+5y=6
x=7-5y --> x+5y = 7
--> 6 = 7 No solution
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If you graph them, the lines are parallel.
No intersection, no solution


Linear-equations/423506: Are the lines wtih the given slopes parallel?
m= -2/3, m = 2/3
1 solutions

Answer 295371 by Alan3354(30968) About Me  on 2011-03-17 15:49:44 (Show Source):
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No, if they're parallel the slopes are equal.


Graphs/423505: Determine the value of W so that the line whose equations is 5x-2y= -w passes through the point at (-1,3)
I wasn't quite sure what topic to put this under, sorry if it is the wrong one.
1 solutions

Answer 295368 by Alan3354(30968) About Me  on 2011-03-17 15:48:01 (Show Source):
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Determine the value of W so that the line whose equations is 5x-2y= -w passes through the point at (-1,3)
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Sub for x and y
5*(-1) - 2*3 = -w
-5 - 6 = -w
w = 11


Polygons/423495: Find Area of a pentagon with radius 9cm
1 solutions

Answer 295362 by Alan3354(30968) About Me  on 2011-03-17 15:39:54 (Show Source):
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Area = nR^2*sin(360/n)/2 for all regular polygons
= 5*81*sin(72)/2
= 202.5*sin(72)
=~ 192.5889 sq cm


Human-and-algebraic-language/423452: The sum of two consecutive integers is 93. Find the integers.
1 solutions

Answer 295359 by Alan3354(30968) About Me  on 2011-03-17 14:52:21 (Show Source):
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93/2 = 46.5, the middle
--> 46 & 47


Functions/423472: If f(x)=5, what does f(7)=?
1 solutions

Answer 295356 by Alan3354(30968) About Me  on 2011-03-17 14:22:01 (Show Source):
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5
f(anything) = 5


Distributive-associative-commutative-properties/423471: Hello
I need help answering this question
c=20(p-5)/p
c=20(p-5)over p
Thanks.
1 solutions

Answer 295354 by Alan3354(30968) About Me  on 2011-03-17 14:19:34 (Show Source):
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What is the question?


Linear-equations/423454: The question is When a number is decreased by 40% of itself is 306. What is the number?
I sovled the equation by letting x = the number
Then put 40% in decimal form .40 .
Sovle the equation x-.40=306
-.40=-.40
x= 665
but the answer is 510.
Please help me solve this equation.

1 solutions

Answer 295353 by Alan3354(30968) About Me  on 2011-03-17 14:15:28 (Show Source):
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The question is When a number is decreased by 40% of itself is 306. What is the number?
I sovled the equation by letting x = the number
Then put 40% in decimal form .40
Sovle the equation x-.40=306
-.40=-.40
x= 665
but the answer is 510.
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x - 0.4x = 306
Solve that one.
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I don't see how you got 665. Maybe you meant 765, if you divided by 0.4 ?


Graphs/423469: Navigation. In 3 sec, Penny walks 24 ft, to the bow (front) of a tugboat. The boat is cruising at a rate of 5 ft/sec. What is Penny’s rate of travel with respect to land?

1 solutions

Answer 295351 by Alan3354(30968) About Me  on 2011-03-17 14:11:18 (Show Source):
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Navigation. In 3 sec, Penny walks 24 ft, to the bow (front) of a tugboat. The boat is cruising at a rate of 5 ft/sec. What is Penny’s rate of travel with respect to land?
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Her speed wrt to the water is (24/3) + 5 ft/sec = 13 ft/sec
Her speed wrt to the land is 13 ft/sec ± the current, + or minus depending on the direction of the current.


Geometry_Word_Problems/423463: You have a pool with a surface area of 3690 square feet. The shallow end depth is 4 feet and the deep end depth is 8 feet. There is a constant slope. What is the volume of this pool
1 solutions

Answer 295345 by Alan3354(30968) About Me  on 2011-03-17 13:57:00 (Show Source):
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You have a pool with a surface area of 3690 square feet. The shallow end depth is 4 feet and the deep end depth is 8 feet. There is a constant slope. What is the volume of this pool
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The average depth = 6 ft (4+8)/2
Vol = 3960*6 = 23760 cubic feet


Polynomials-and-rational-expressions/423412: x^3-8=x^3-8
1 solutions

Answer 295331 by Alan3354(30968) About Me  on 2011-03-17 12:11:30 (Show Source):
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That looks right.
Do you have a question?


Trigonometry-basics/423213: Name the quadrants in which angle theta may lie if sec theta = csc theta.
1 solutions

Answer 295264 by Alan3354(30968) About Me  on 2011-03-16 22:20:00 (Show Source):
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Sec signs are +, -, -, + in order
Csc signs are +, +, -, -
They're the same in Quads 1 and 3.


Rate-of-work-word-problems/423210: Joan is traveling on a bike path at 20 miles per hour. Thirty minutes after she started, Jack follows her at 25 miles per hour. How long does it take Jack to catch up with her?
(by me)-> please show equation construction,
I'm left-handed so I'm a bit of a spatial learner, need to see to fully understand.
1 solutions

Answer 295260 by Alan3354(30968) About Me  on 2011-03-16 22:17:00 (Show Source):
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Joan is traveling on a bike path at 20 miles per hour. Thirty minutes after she started, Jack follows her at 25 miles per hour. How long does it take Jack to catch up with her?
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In 30 mins, Joan is 10 miles away (20 mph * 0.5 hr)
Jack gains on her at 5 mph (25 - 20)
10 miles/5 mph = 2 hours