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Alan3354 answered: 6079 problems
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1 solutions
Answer 176778 by Alan3354(6079)   on 2009-11-21 13:33:58 (Show Source):
You can put this solution on YOUR website!I think that's the speed of light.
186000 mi/sec*5280 ft/mi*12 in/ft*60 sec/min*60 min/hr*24 hr/day*365 d/yr
= 3.7165E17 inch/year
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percentage/240370: My yearly gross income is 42,640 and my yearly expense are 18,207.80. So my expenses would account for what percentage of my yearly gross income?
1 solutions
Answer 176762 by Alan3354(6079) on 2009-11-21 12:23:13 (Show Source):
You can put this solution on YOUR website!My yearly gross income is 42,640 and my yearly expense are 18,207.80. So my expenses would account for what percentage of my yearly gross income?
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18207.80/42640 =~ 0.427012
=~ 42.7%
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Graphs/241356: y=-x-9 and 3x-y=-11 GRAPH
1 solutions
Answer 176761 by Alan3354(6079) on 2009-11-21 12:20:33 (Show Source):
You can put this solution on YOUR website!These are 2 linear eqns, so they're straight lines.
Find 2 points and draw the line thru them.
y = -x - 9
x....y
0....-9
-9...0
Draw a line thru the 2 points.
Do the same for the other eqn. Where they incersect is the solution.
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Graphs/240368: Solve the system of equations by graphing
-3x-2y=24
3x-y=-6
1 solutions
Answer 176760 by Alan3354(6079) on 2009-11-21 12:05:12 (Show Source):
You can put this solution on YOUR website!Solve the system of equations by graphing
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These are 2 linear eqns, so they're straight lines.
Find 2 points and draw the line thru them.
-3x-2y=24
x....y
0 -12
-4...-6
Draw a line thru the 2 points.
Do the same for the other eqn. Where they incersect is the solution.
3x-y=-6
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Triangles/240394: The height of a triangel is 1cm less than the length of the base. The area is 1770cmsquared. Find the height.
1 solutions
Answer 176747 by Alan3354(6079) on 2009-11-21 11:10:03 (Show Source):
You can put this solution on YOUR website!The height of a triangel is 1cm less than the length of the base. The area is 1770cmsquared. Find the height.
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1770 = bh/2 = b*(b-1)/2
b^2 - b = 3540
b^2 - b - 3540 = 0
(b-60)*(b+59) = 0
b = 60 cm
h = 59 cm
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logarithm/240406: TRUE/FALSE: log (A-B)= log A divided by log B
TRUE/FALSE: log A-log B = log A divided by log B
1 solutions
Answer 176735 by Alan3354(6079) on 2009-11-21 10:12:45 (Show Source):
You can put this solution on YOUR website!TRUE/FALSE: log (A-B)= log A divided by log B
False. For example A = 100, B = 10
Log(A-B) = log(90) =~ 1.9524
log(100)/log(10) = 2
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TRUE/FALSE: log A-log B = log A divided by log B
False. log(100) - log(10) = 1
log(100)/log(10) = 2
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Trigonometry-basics/240366: i cant work out: "calculate the area of the shaded segment?" theres a circle with a wedge with angle 74 degrees and radius 4.6 cm and the shaded segment is the edge between the triangle wedge and the circle so it looks like a half circle?
1 solutions
Answer 176730 by Alan3354(6079) on 2009-11-21 09:42:13 (Show Source):
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Graphs/240374: The points l(4,0),M(10,0)N(7,5) form a triangle LMN. What is the sum of the slopes of the three sides of the triangle?
1 solutions
Answer 176724 by Alan3354(6079) on 2009-11-21 09:17:31 (Show Source):
You can put this solution on YOUR website!The points l(4,0),M(10,0)N(7,5) form a triangle LMN. What is the sum of the slopes of the three sides of the triangle?
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Slope, m = diffy/diffx
For LM:
m1 = 0/6 = 0
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MN:
m2 = -5/3
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LN:
m3 = 5/3
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Sum = zero
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Linear-systems/240390: This is a textbook problem: which values in the table is the relationship linear? Tell how you decided. Write the equation for each linear relationship.
__________________________________________________________
x 5 10 15 20 25 30
__________________________________________________________
y 20 30 40 50 50 50
??? I first began by attempting to create an equation that would equal such as y=3(x)+5; this would make sense for (5,20) but not for the others
??? then I considered beginning by using the equation of a straight line y=mx+b; but if I plug in Im still not sure if it would equal???
1 solutions
Answer 176720 by Alan3354(6079) on 2009-11-21 09:10:09 (Show Source):
You can put this solution on YOUR website!y = 2x + 10 fits the 1st 4 points.
There is no linear function that fits all 6 points.
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It can be specified:
y = 2x + 10, y<=50 a linear function and a limit
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Polynomials-and-rational-expressions/240383: Driving time. The time t required to drive a fixed distance varies inversely as the speed r. It takes 5 hr at 55mph to drive a fixed distance. How long wold it take at 40mph?
1 solutions
Answer 176716 by Alan3354(6079) on 2009-11-21 09:01:34 (Show Source):
You can put this solution on YOUR website!The time t required to drive a fixed distance varies inversely as the speed r. It takes 5 hr at 55mph to drive a fixed distance. How long wold it take at 40mph?
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5*55 = 275 miles
275 mi/40 mph = 6.857 hours
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Trigonometry-basics/240339: how do i solve for problems such as cos of theta= 0.5941 or csc of theta= 3.2191?
1 solutions
Answer 176664 by Alan3354(6079) on 2009-11-20 21:24:58 (Show Source):
You can put this solution on YOUR website!how do i solve for problems such as cos of theta= 0.5941 or csc of theta= 3.2191?
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Use a calculator.
cos(53.5515...) = 0.5941
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Few, if any, calculators have a csc, so invert it first.
csc = 1/sin
sin(A) = 1/3.2191
A =~ 18.09815567º
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Polygons/240340: How many sides does a regular polygon have if the sum of its interior angle measures is 7380 degree?
1 solutions
Answer 176663 by Alan3354(6079) on 2009-11-20 21:21:04 (Show Source):
You can put this solution on YOUR website!How many sides does a regular polygon have if the sum of its interior angle measures is 7380 degree?
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The sum of the angles is (n-2)*180
n-2 = 7380/180 = 41
n = 43 sides
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Linear-equations/240356: need help in graphing f(x)=e^(2-x)
1 solutions
Answer 176658 by Alan3354(6079) on 2009-11-20 21:03:30 (Show Source):
You can put this solution on YOUR website!f(x)=e^(2-x)
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Pick values for x and find f(x).
x....f(x)
2.....1
1.....e
0.....e^2 etc.
--------------
Plot the points and draw a curve thru them.
Use Excel to do the calculations, or get the FREE software at
http://www.padowan.dk.com
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Trigonometry-basics/241249: Points on the terminal sides of angles play an important part in the design of arms for robots. Suppose the robot's arm can change its length in addition to rotating about the origin in a coordinate plane. If the hand is initially at (12, 12), approximately how many degrees should the arm be rotated and how much should its length be changed to move the hand to (-17, 11)? Please round the first answer to the nearest whole number and the second answer to the nearest hundredth.
I tried and got 258 degrees but I don't think that is correct and I have no idea about what the length should be changed to.
1 solutions
Answer 176656 by Alan3354(6079) on 2009-11-20 20:58:55 (Show Source):
You can put this solution on YOUR website!Points on the terminal sides of angles play an important part in the design of arms for robots. Suppose the robot's arm can change its length in addition to rotating about the origin in a coordinate plane. If the hand is initially at (12, 12), approximately how many degrees should the arm be rotated and how much should its length be changed to move the hand to (-17, 11)? Please round the first answer to the nearest whole number and the second answer to the nearest hundredth.
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The length is the distance from the Origin,
@(12,12), s = 12*sqrt(2) =~16.97
@(-17,11), s = 20
Diff =~ 3.03 units
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@(12,12), angle = 45º
@(-17,11), angle = arctan(11/-17) =~147.09º
Change =~ 102.09º ccw
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Finance/241251: i do not understant how to answer this question could i get help please. i need to determine how many years it will take for the two accounts to reach the same balance. 1000 investment with a rate of 5.25% compounded continuously and 800 investment with a rate of 6.25% compounded continously. i got this far
1000e^.0525=800e^.0625
1 solutions
Answer 176653 by Alan3354(6079) on 2009-11-20 20:49:57 (Show Source):
You can put this solution on YOUR website!how many years it will take for the two accounts to reach the same balance. 1000 investment with a rate of 5.25% compounded continuously and 800 investment with a rate of 6.25% compounded continously. i got this far
1000e^.0525=800e^.0625
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1000e^.0525t=800e^.0625t You need the time in the exponents
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Take the ln of both sides
ln(1000) + 0.0525t = ln(800) + 0.0625t
0.0625t - 0.0525t = ln(1000) - ln(800)
0.01t =~ 0.223144
t =~ 22.3144 years (assuming the int rates are annual)
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Exponents-negative-and-fractional/240338: (9/8)^-2 the 9/8 is of course a fraction and the ^-2 is for a negative exponent. I dont get these.
1 solutions
Answer 176649 by Alan3354(6079) on 2009-11-20 19:38:01 (Show Source):
You can put this solution on YOUR website!(9/8)^-2
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= (9/8)^-2/1
It's a fraction. Multiply NUM and DEN by (9/8)^2
= (9/8)^0/(9/8)^2
= 1/(9/8)^2 anything with exponent 0 = 1
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Moving a term from NUM to DEN (or v.v.) changes the sign of the exponent.
(9/8)^-2 = 1/(9/8)^2
1/(9/8)^2 = (1/(9/8)^2 = (8/9)^2
1 over a fraction is the inverse of the fraction.
= 64/81
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test/240333: 2/5 = 5/10n + 2????????????????
The second one is: 7/10 = 3/8k + 1????????????????
1 solutions
Answer 176646 by Alan3354(6079) on 2009-11-20 19:31:54 (Show Source):
You can put this solution on YOUR website!2/5 = 5/10n + 2
Do you want to solve for n? You didn't say.
Multiply thru (all terms) by 10 n
4n = 4 + 20n
0 = 4 + 16n
16n = -4
n = -1/4
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The second one is: 7/10 = 3/8k + 1
Multiply by 40k
28 = 15 + 40k
40k = 13
k = 13/40
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Linear-equations/240330: Hello,
I have several things that I need help with. I need to see all of the steps to help me work future problems out. I am grateful for your help! This algebra has been mind boggling after being out of school for 32 years.
1. Graph the equations by completing the tables and plotting the points. You may use Excel or another web-based graphing utility.
a). y = -½ x + 3
Use the table; find at least 3 points using any values for x.
x y
-2
0
4
b). Use the values of x provided in the table.
x y
0
1
2
3
4
2. The cost function for the Recklus Hang gliding Service is C(x) = 0.4x2 - fx + m, where f represents the average fuel cost for a customer’s daily excursion and m represents the monthly hanger rental. Also, C represents the monthly cost in dollars of the small business where x is the number of flight excursions facilitated in that month.
a). If $60 is estimated to be the average fuels cost (f), and the monthly hanger rental is $3,000; write an equation for the profit, P, in terms of x.
Typing hint: Type x-squared as x^2
b).What is the cost when 40 flight excursions are sold in a month?
c). How many flight excursions must be sold in order to minimize the cost? Show your work algebraically. Trial and error is not an appropriate method of solution – use methods taught in class.
d). What is the minimum cost?
Thanks so much for helping me. I am taking this class on-line and I am having problems grasping this subject.
Best Regards,
1 solutions
Answer 176639 by Alan3354(6079) on 2009-11-20 19:05:09 (Show Source):
You can put this solution on YOUR website!1. Graph the equations by completing the tables and plotting the points. You may use Excel or another web-based graphing utility.
a). y = -½ x + 3
Use the table; find at least 3 points using any values for x.
Sub each x and find y
x....y
-2...4 --> (-2,4)
0....3 --> (0,3)
4....1 --> (4,1)
Plot the points and draw a straight line thru them.
------------------
b). Use the values of x provided in the table.
Is this the same equation?
x y
0 3
1 2.5
2 2
3 1.5
4 1
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