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Alan3354 answered: 30939 problems
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Functions/628649: Area of the region of a circle that is divided in 1/2 noted as 4 inches
the answer needs to be the area = ? inches ^2
1 solutions

Answer 395764 by Alan3354(30959) About Me  on 2012-07-15 16:11:25 (Show Source):
You can put this solution on YOUR website!
I don't know what that means.


Inequalities/628610: solve the equation in the real number system
x^4-x^3+2x^2-4x-8=0

1 solutions

Answer 395761 by Alan3354(30959) About Me  on 2012-07-15 15:41:34 (Show Source):
You can put this solution on YOUR website!
solve the equation in the real number system
x^4-x^3+2x^2-4x-8=0
---------------
4th orders can be tough.
Step 1, check for integer solution.
Those would be the factors of 8.
1 & 2 plus and minus


Triangles/628639: Essay: Show all work. A gardender wants to create a trangular garden in the shape of a RIGHT Triangle with the shortest side length x-2yft. and the middle length side x+4yft. What is an algebraic expression for the area of the garden? Be sure to multiply and express in the simplest correct mathematical form, including units.
1) I started working this problem as a) b) c) ...a) being the shortest side. and c) is the base would be the middle ..correct?
area= (1/2) base*height
area= (1/2)(x-2yft)(x+4yft.)
area= (1/2)(x^+ .................This is where I start getting confused.
Please help?
Thanks in advance.
1 solutions

Answer 395760 by Alan3354(30959) About Me  on 2012-07-15 15:39:04 (Show Source):
You can put this solution on YOUR website!
A gardender wants to create a trangular garden in the shape of a RIGHT Triangle with the shortest side length x-2yft. and the middle length side x+4yft. What is an algebraic expression for the area of the garden? Be sure to multiply and express in the simplest correct mathematical form, including units.
1) I started working this problem as a) b) c) ...a) being the shortest side. and c) is the base would be the middle ..correct?
area= (1/2) base*height
area= (1/2)(x-2yft)(x+4yft.)
area= (1/2)(x^+ .................This is where I start getting confused
------------------
a%5E2+%2B+b%5E2+=+c%5E2
c = the long side, the hypotenuse
a & b are the other 2 sides, which you call the base doesn't matter.
------
Area = b*h/2 = a*b/2
----
Area+=+%28x-2y%29%2A%28x%2B4y%29%2F2
Area+=+%28x%5E2+%2B+2xy+-+8y%5E2%29%2F2
-------
That's all you can do, no reduction is possible.


Linear-systems/628609: can you help me solve this. linear system equations by elimination
x + y + z =4
x - y + 2z=1
x - y - 3z = -4
1 solutions

Answer 395757 by Alan3354(30959) About Me  on 2012-07-15 15:27:40 (Show Source):
You can put this solution on YOUR website!
x + y + z =4
x - y + 2z=1
x - y - 3z = -4
============
All the x coeff's are 1, eliminate x first by subtracting 1 of the eqns from the other 2.
----------
If you subtract eqn 3 from 2, both x & y are eliminated.


Linear-equations/628633: A line passes through (-6,-1) with a slope of 3/3. find two additional points on the line
1 solutions

Answer 395756 by Alan3354(30959) About Me  on 2012-07-15 15:24:43 (Show Source):
You can put this solution on YOUR website!
A line passes through (-6,-1) with a slope of 3/3. find two additional points on the line
-----
3/3? That's 1
-------
Add 1 to the x and 1 to the y
--> (-5,0)
Again --> (-4,1)


Travel_Word_Problems/628637: If Chris drives 240 miles from his home in Atlanta, Georgia, at 60 miles per hour, how many minutes longer would the return trip take if he travels at 50 miles per hour?
1 solutions

Answer 395755 by Alan3354(30959) About Me  on 2012-07-15 15:23:07 (Show Source):
You can put this solution on YOUR website!
If Chris drives 240 miles from his home in Atlanta, Georgia, at 60 miles per hour, how many minutes longer would the return trip take if he travels at 50 miles per hour?
------------
d = r*t
t = d/r
-------
Find the 2 times, get the difference.


Linear-equations/628582: i need to find the slope of this equation 4x-2y= -2
1 solutions

Answer 395737 by Alan3354(30959) About Me  on 2012-07-15 12:36:43 (Show Source):
You can put this solution on YOUR website!
i need to find the slope of this equation 4x-2y= -2
--------------
Solve for y
y = 2x + 1
-------
Slope m = the coefficient of x


percentage/628584: what is 15% of 32
1 solutions

Answer 395736 by Alan3354(30959) About Me  on 2012-07-15 12:31:34 (Show Source):
You can put this solution on YOUR website!
what is 15% of 32
= 0.15*32


Quadratic_Equations/628587: I have all my homework done except for these last couple of questions and was hoping for some help. I really detest algebra.
1. |x|6
2. √20-8x=x
Thank in advance.
Rob
1 solutions

Answer 395735 by Alan3354(30959) About Me  on 2012-07-15 12:31:01 (Show Source):
You can put this solution on YOUR website!
1. |x|6
I don't know what that means.
---------------
2. √20-8x=x
Square both sides.
20+-+x+=+x%5E2
x%5E2+%2B+x+-+20+=+0
(x+5)*(x-4) = 0
etc


Equations/628544: a^b=b^a and a-b=2.find a and b
1 solutions

Answer 395721 by Alan3354(30959) About Me  on 2012-07-15 09:21:49 (Show Source):
You can put this solution on YOUR website!
a^b=b^a and a-b=2.find a and b
------------
No solution, no such numbers


Equations/628504: I am not sure what I am suppse to do with this the section it is in says Equations and Equalities and says to solve?
2.4:c=4:3
1 solutions

Answer 395719 by Alan3354(30959) About Me  on 2012-07-15 09:13:13 (Show Source):
You can put this solution on YOUR website!
2.4:c=4:3
-----------
It's usually written
2.4:c::4:3
----
It's a ratio, says
2.4 is to c as 4 is to 3.
It can be set up as fractions, too.
2.4/c = 4/3
-----
2.4:c::4:3
The product of the extremes (the outside terms) = product of means (inside terms)
2.4*3 = 4c
4c = 7.2
c = 1.8
==========
Using the fractions:
2.4/c = 4/3
Cross multiply
4c = 7.2, etc, same answer


Linear-equations/628542: What time after 8 o’ clock will the hands of the continuously driven clock be opposite each other?

1 solutions

Answer 395717 by Alan3354(30959) About Me  on 2012-07-15 09:04:51 (Show Source):
You can put this solution on YOUR website!
What time after 8 o’ clock will the hands of the continuously driven clock be opposite each other?
---------------------
At 8, the angle is 120 degrees
In t minutes, the minute hand will move 6t degrees
In t minutes, the hour hand will move t/2 degrees
-------------
Find t so that the angle is 180 degs
-----
Angle = 120 + 6t - t/2 = 180
11t/2 = 60
t = 120/11 minutes
Time = 8:10:54.5454...


Trigonometry-basics/628534: (1-sin60/cos60)=(tan60-1/tan60+1)


1 solutions

Answer 395713 by Alan3354(30959) About Me  on 2012-07-15 08:49:25 (Show Source):
You can put this solution on YOUR website!
(1-sin60/cos60)=(tan60-1/tan60+1)
-------------
Do you have a question?
Or are you informing us of that?


Angles/628552: Find the complement and supplementary of 62 degree and 44
minutes
1 solutions

Answer 395711 by Alan3354(30959) About Me  on 2012-07-15 08:48:19 (Show Source):
You can put this solution on YOUR website!
Find the complement and supplementary of 62 degree and 44
minutes
-----------
Comp = 90 - 62 44'
Sup = Comp + 90


Trigonometry-basics/628553: what is the value of cot3.5 ?
1 solutions

Answer 395710 by Alan3354(30959) About Me  on 2012-07-15 08:46:51 (Show Source):
You can put this solution on YOUR website!
what is the value of cot3.5 ?
-----
Is it 3.5 degs? or radians?
Either way, use a calculator.
cot = 1/tan


Angles/628554: In the right triangle: a= 50 cm and sin a= 1.3. Find b and c.
1 solutions

Answer 395709 by Alan3354(30959) About Me  on 2012-07-15 08:45:53 (Show Source):
You can put this solution on YOUR website!
In the right triangle: a= 50 cm and sin a= 1.3. Find b and c.
------------
Is the sin = 1? or 1.3?
----
You need 3 elements to solve a triangle. 1 side & 2 other elements.


Age_Word_Problems/628533: Hello, I'm having some trouble with this question with age, it is: Justine is 15years older than Emily now, but in 6 years time she will be twice as old as Emily. Write an equation and solve it to find the girls' present ages. I gave it ago using a method we learnt at school but it didn't quite work. Please help and thank you!
1 solutions

Answer 395707 by Alan3354(30959) About Me  on 2012-07-15 08:33:58 (Show Source):
You can put this solution on YOUR website!
Justine is 15years older than Emily now, but in 6 years time she will be twice as old as Emily.
----------------
The age difference will always be 15 years.
--> 15 & 30 are 2x
Subtract 6
==============
J + 6 = 2(E + 6)
J = E + 15
---
E + 15 + 6 = 2(E + 6) = 2E + 12
--> E = 9, J = 24


Radicals/628477: I need help with this. The problem states to use rational exponents to writ
√3:(x)*√5:(4x)as a single radical expression and I just don't understand this problem at all.
1 solutions

Answer 395659 by Alan3354(30959) About Me  on 2012-07-14 20:53:05 (Show Source):
You can put this solution on YOUR website!
If you mean:
root%283%2Cx%29%2Aroot%285%2C4x%29
---------
You need a common index, similar to the common denomonator in fractions.
3*5 = 15
-----
root%283%2Cx%29%2Aroot%285%2C4x%29+=+root%2815%2Cx%5E5%29%2Aroot%2815%2C%284x%29%5E3%29
= root%2815%2C64x%5E8%29


Polynomials-and-rational-expressions/628481: give function value
f(z^2)= answer
formula=f(x)=x^2-3x+3
1 solutions

Answer 395658 by Alan3354(30959) About Me  on 2012-07-14 20:49:41 (Show Source):
You can put this solution on YOUR website!
f(z^2)= answer
f(x)=x^2-3x+3
--------------
Sub z^2 for x


Polynomials-and-rational-expressions/628482: give function value
formula=g(x)=2x^2-1
g(3)=answer
1 solutions

Answer 395657 by Alan3354(30959) About Me  on 2012-07-14 20:48:48 (Show Source):
You can put this solution on YOUR website!
g(x)=2x^2-1
g(3)=answer
------------
Sub 3 for x


Volume/628459: Find the volume of a cylinder with a diameter of 10 inches and a height of 20 inches. Using 3.14 for π.
1 solutions

Answer 395640 by Alan3354(30959) About Me  on 2012-07-14 19:00:37 (Show Source):
You can put this solution on YOUR website!
Find the volume of a cylinder with a diameter of 10 inches and a height of 20 inches.
---------
Vol+=+pi%2Ar%5E2h


Probability-and-statistics/628335: per orange costs 0.45 paise I have 10 oranges with me. if I have 0.50. Paise with me then how many Orange can I purchase??
1 solutions

Answer 395562 by Alan3354(30959) About Me  on 2012-07-14 10:52:02 (Show Source):
You can put this solution on YOUR website!
per orange costs 0.45 paise I have 10 oranges with me. if I have 0.50. Paise with me then how many Orange can I purchase??
-------------
1


Travel_Word_Problems/628336: If a car is going 85mph in 4.5 miles how fast would a stopped car have to go to catch up.
1 solutions

Answer 395561 by Alan3354(30959) About Me  on 2012-07-14 10:50:58 (Show Source):
You can put this solution on YOUR website!
If a car is going 85mph in 4.5 miles how fast would a stopped car have to go to catch up.
----------
"going 85mph in 4.5 miles" not clear what that means.
==========
Any speed >85 mi/hr would work. The time would depend on the speed.


Age_Word_Problems/628271: What is the maximum volume of a open box created from a square of side length 24? Keep in mind that V=LWH. So for this problem the dimensions are as follows:
L = 24-2x, W = 24-2x and H = x. The maximum volume will be where the volume equation is the greatest.
You are to determine:
1. The volume equation.
2. The maximum volume.
3. The value of x that maximizes the volume
1 solutions

Answer 395555 by Alan3354(30959) About Me  on 2012-07-14 09:17:12 (Show Source):
You can put this solution on YOUR website!
What is the maximum volume of a open box created from a square of side length 24? Keep in mind that V=LWH. So for this problem the dimensions are as follows:
L = 24-2x, W = 24-2x and H = x. The maximum volume will be where the volume equation is the greatest.
-----------------
V+=+%2824-2x%29%5E2%2Ax+=+4x%5E3+-+96x%5E2+%2B+576x
dV%2Fdx+=+12x%5E2+-+192x+=+0
x = 4
---------------
V(4) = 256 cubic units
--------------------------------


Polynomials-and-rational-expressions/628298: subtract

2-y 5y-4
divide
y-6 6-y
1 solutions

Answer 395550 by Alan3354(30959) About Me  on 2012-07-14 07:46:34 (Show Source):
You can put this solution on YOUR website!
subtract

2-y 5y-4
Do you mean (2-y) - (5y-4) ?
=============
divide
y-6 6-y
= -1
=============
Use parentheses, make it clear what you mean.
If you don't, your entries will be ignored.


Angles/628308: Hi!!
I am trying to teach my boys over the summer and I have many worksheets with answers. However, these specific ones on Special Angles & Algebra don't have a formula or answer key, so I will give you an example and see if you might be able to help. Thank you so much!!
Find the value of x. Write and solve an equation!
1. x = __________
the angle created on top is 2x - 3
the angle created on bottom is 85
2. If angle C and angle D are complementary, find x, m angle C and m angle D.
m angle C = 10x + 11 and m angle D = 2x - 5
x = _______
m angle C = __________
m angle D = __________
There are also problems on finding the measure of each missing angle - are there any sample problems on your website on how to do this? Thank you!!!
1 solutions

Answer 395549 by Alan3354(30959) About Me  on 2012-07-14 07:44:19 (Show Source):
You can put this solution on YOUR website!
Find the value of x. Write and solve an equation!
1. x = __________
the angle created on top is 2x - 3
the angle created on bottom is 85
---------------
Top and bottom of what?
================================
2. If angle C and angle D are complementary, find x, m angle C and m angle D.
m angle C = 10x + 11 and m angle D = 2x - 5
C + D = 90
10x+11 + 2x-5 = 90
12x + 6 = 90
x = 7
etc


�t�e�s�t/628318: Sri Rangaman Chettanchadiyapuram Madhavan Iyer's flower Garden is now a square. If she enlarges it by increasing the width 1 meter and the length 3 metres, the area will be 19 square metres more than the present area. What is the length of a side now?




































Need answer with steps. Very urgent. Please send me the answer with solution.... Thanks a million times..
1 solutions

Answer 395548 by Alan3354(30959) About Me  on 2012-07-14 06:48:16 (Show Source):
You can put this solution on YOUR website!
Sri Rangaman Chettanchadiyapuram Madhavan Iyer's flower Garden is now a square. If she enlarges it by increasing the width 1 meter and the length 3 metres, the area will be 19 square metres more than the present area. What is the length of a side now?
------------------------
%28s+%2B+1%29%2A%28s+%2B+3%29+=+s%5E2+%2B+19
s%5E2+%2B+4s+%2B+3+=+s%5E2+%2B+19
4s = 16
s = 4


Graphs/628260: Graph first degree inequality in two unknown
y>4x-4
1 solutions

Answer 395529 by Alan3354(30959) About Me  on 2012-07-13 22:49:48 (Show Source):
You can put this solution on YOUR website!
Graph first degree inequality in two unknown
y>4x-4
--------------
Graph y = 4x - 4
It's a straight line, you need 2 points.
Pick 2 values for x and find y
Plot the 2 points, draw a line thru them.
----------
y>4x-4 is all the area above and left of the line, not including the line.


Radicals/628258: Can someone please help me to solve these radicals. I'm confused as to how these should be set-up. I have a test that is coming up this Sunday and I need to know how to solve these type of Radical word problems. Can someone please help me with these questions and scenarios?
Note: For any decimal answers, please round to two decimal places.
If a satellite is orbiting earth, it’s distance from the center of earth is dependent upon it’s orbital velocity (speed at which it orbits the earth). The distance, r, that the satellite is from the center of the earth can be found using this equation: r=Kv^-2 , where K is a constant and v is the satellite’s orbital velocity.
1. Solve the equation for v. (Remember to use the negative exponent rule to write the expression with positive exponents before solving for v)
2. Suppose that a satellite orbiting at a velocity of 4.93 km/s has an altitude such that the distance from the center of the earth to the satellite is 16378 km. Find the value of K that makes the equation true.
3. Use the value of K you found in the previous problem to determine the altitude of a satellite orbiting at a velocity of 5.4 km/s
Note: The altitude of the satellite is its height above the surface of the earth. The radius (distance from the center to the surface) of the earth is 6378 km, you will need this number to find the altitude of the satellite once you have found a value for r.
4. Find the orbital velocity of a satellite with an altitude of 15,000 km above the surface of the earth.
[Be sure to calculate r before plugging it into the equation]

1 solutions

Answer 395518 by Alan3354(30959) About Me  on 2012-07-13 21:39:06 (Show Source):
You can put this solution on YOUR website!
If a satellite is orbiting earth, it’s distance from the center of earth is dependent upon it’s orbital velocity (speed at which it orbits the earth). The distance, r, that the satellite is from the center of the earth can be found using this equation: r=Kv^-2 , where K is a constant and v is the satellite’s orbital velocity.
1. Solve the equation for v. (Remember to use the negative exponent rule to write the expression with positive exponents before solving for v)
---------------------
Don't tell us what to remember. If we didn't know how to do, we wouldn't be here.
---------------
r=Kv%5E-2
Multiply by v^2
rv%5E2=K
Divide by r
v%5E2+=+K%2Fr
V+=+sqrt%28K%2Fr%29
-------------------------
2. Suppose that a satellite orbiting at a velocity of 4.93 km/s has an altitude such that the distance from the center of the earth to the satellite is 16378 km. Find the value of K that makes the equation true.
rv%5E2=K
K+=+16378%2A4.93%5E2
K =~ 398065.65
---------------------
3. Use the value of K you found in the previous problem to determine the altitude of a satellite orbiting at a velocity of 5.4 km/s
Note: The altitude of the satellite is its height above the surface of the earth. The radius (distance from the center to the surface) of the earth is 6378 km, you will need this number to find the altitude of the satellite once you have found a value for r.
r=Kv%5E-2
It's just calculator work.
------------------
4. Find the orbital velocity of a satellite with an altitude of 15,000 km above the surface of the earth.
Use a calculator, plug in the numbers given.


Numeric_Fractions/628288: what is the sum of 3/8 and 1/16
1 solutions

Answer 395516 by Alan3354(30959) About Me  on 2012-07-13 21:20:40 (Show Source):
You can put this solution on YOUR website!
what is the sum of 3/8 and 1/16
=================
Hint: 3/8 = 6/16


Equations/628289: P^3M^6/P^5M^6
1 solutions

Answer 395515 by Alan3354(30959) About Me  on 2012-07-13 21:19:59 (Show Source):
You can put this solution on YOUR website!
P^3M^6/P^5M^6
------------------
P%5E3M%5E6%2FP%5E5M%5E6
= P%5E3%2FP%5E5
= 1%2FP%5E2
or P%5E-2