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Matrices-and-determiminant/347506: given the matrix A=
2 3
0 -1
1 4
what are its dimensions?
1 solutions

Answer 248427 by Fombitz(13828) About Me  on 2010-09-23 22:35:11 (Show Source):


Travel_Word_Problems/347251: hello everyone.I need your help with my Calculus assignment. It is due today.Please help me.The right equation is,v=-5+30e^-t/2
A truck travelling along a straight section of highway, on a wet evening, braked suddenly to avoild blinky Bill who had wandered onto the road off in the distance.The reducing velocity of the truck under braking,v, in metres per second,is modelled by the equation:
v=-5+30e^-t/2
where t is the number of seconds after the brakes were applied.Assume the truck held its line under braking conditions.
Questions:
a. Find an expression for the distance traveled,s(t) after t seconds.
b. Sketch a grapgh of s(t) over the domain [0,10).
c. Discuss the limitation of this function as a model for the distance covered after braking.
d. Poor Blinky was 30m down the highway whe the brakes were applied. He was dazzled by the lights of the truck and froze to the spot.Show why our favorite koala was in a spot of bother.
e. How fast was the truck going when it struck Blinky?
f. What was the minimum distance Blinky could have been standing to avoid contact?
1 solutions

Answer 248309 by Fombitz(13828) About Me  on 2010-09-23 16:20:56 (Show Source):
You can put this solution on YOUR website!
s%28t%29=int%28v%28t%29%2Cdt%29
s%28t%29=int%28%28-5%2B30e%5E%28-0.5t%29%29%2Cdt%29
s%28t%29=-5-%2830%2F%281%2F2%29%29e%5E%28-0.5t%29%2BC
s%28t%29=-5-60e%5E%28-0.5t%29%2BC
When t=0, s(0)=0.
s%280%29=-5-60%2BC=0
C=65
s%28t%29=-5-60e%5E%28-0.5t%29%2B651
highlight%28s%28t%29=60-60e%5E%28-0.5t%29%29
.
.
.
b)
graph%28300%2C300%2C-2%2C12%2C-10%2C90%2C60-60e%5E%28-0.5x%29%2C60%2C30%29
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c)I'll leave that part to you.
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.
.
d)Oh no. The truck doesn't stop until s=60m (the green line).
Poor Blinky never had a chance (he was standing at the blue line).
.
.
.
e)Find t when s%28t%29=30.
60-60e%5E%28-0.5t%29=30
-60e%5E%28-0.5t%29=-30
e%5E%28-0.5t%29=1%2F2
-0.5t=ln%281%2F2%29
t=-2%2Aln%281%2F2%29
t=-2%2A%28-0.693%29
t=1.386seconds
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.
Now find v%281.386%29.
v%28t%29=-5%2B30e%5E%28-0.5t%29
I'll leave that to you to finish.
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.
.
f) Blinky needed to be at a distance of greater than 60m.


Angles/346826: please help me with this problem given the coordinate B (negative 7, 8) find the coordinate of B if B is reflected over the x axis
1 solutions

Answer 248304 by Fombitz(13828) About Me  on 2010-09-23 16:06:55 (Show Source):
You can put this solution on YOUR website!
(-7,8)---->(-7,-8)
.
.
.



Probability-and-statistics/347206: 5. The Centers for Disease Control have determined that when a person is given a vaccine, the probability that the person will develop immunity to a virus is 0.8. If 7 people are given this vaccine, find the probability that
a. at least five will develop immunity



b. exactly four will develop immunity



c. all will develop immunity

1 solutions

Answer 248280 by Fombitz(13828) About Me  on 2010-09-23 14:43:15 (Show Source):
You can put this solution on YOUR website!
a) So 5, 6, or 7 people will receive immunity which means 0, 1, or 2 failed.
P%280%29=1%2A0.8%5E7%2A0.2%5E0=0.2097
P%281%29=7%2A0.8%5E6%2A0.2%5E1=0.3670
P%282%29=21%2A0.8%5E5%2A0.2%5E2=0.2753
highlight%28+P=P%280%29%2BP%281%29%2BP%282%29=0.8520%29
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b)4 will develop immunity, 3 will fail.
highlight%28P%283%29=35%2A0.8%5E4%2A0.2%5E3=0.1147%29
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.
c)7 will develop immunity, 0 will fail.
highlight%28P%280%29=1%2A0.8%5E7%2A0.2%5E0=0.2097%29




Exponents-negative-and-fractional/347213: (3/4x^-2y^-3)^-3
simplify
1 solutions

Answer 248278 by Fombitz(13828) About Me  on 2010-09-23 14:34:27 (Show Source):


Linear_Algebra/347214: For the system of linear equations:
x + 2y = 6
x + ay = a + b
a) Determine the values of a and b for which the system has:
i) no solution
ii) infinitely many solutions
iii) exactly on solution
b) In case ii) above, give the general solution of the system.
1 solutions

Answer 248277 by Fombitz(13828) About Me  on 2010-09-23 14:32:39 (Show Source):
You can put this solution on YOUR website!
a)When a=2 and b=4, the lines are identical and will have infinitely many solutions.
When a=2 and b%3C%3E4, the line are parallel and will have no solution.
For all other values of a and b, the lines will have a unique solution.
.
.
.
b) x%2B2y=6
2y=-x%2B6
highlight%28y=-%28x%2B6%29%2F2%29


Linear_Algebra/347215: Which term is the linear term in the equation y = 2x^2 – 3x + 5
1 solutions

Answer 248276 by Fombitz(13828) About Me  on 2010-09-23 14:29:39 (Show Source):
You can put this solution on YOUR website!
The linear term is the x term.
In this case, -3x.


Graphs/347147: f(x)-2abs value of x-4.. graph
1 solutions

Answer 248273 by Fombitz(13828) About Me  on 2010-09-23 14:10:23 (Show Source):


Angles/347141: In A triangle ABC angle B is 4 times angle A and angle C is 19 less than 5 times angle A
1 solutions

Answer 248272 by Fombitz(13828) About Me  on 2010-09-23 14:09:19 (Show Source):
You can put this solution on YOUR website!
For any triangle,
A%2BB%2BC=180
Substitute,
A%2B%284A%29%2B%285A-19%29=180
10A=199
highlight%28+A=199%2F10%29degrees
.
.
B=4%28199%2F10%29
highlight%28+B=398%2F5%29degrees
.
.
C=5%28199%2F10%29-19
C=199%2F2-38%2F2
highlight%28+C=161%2F2%29degrees


Travel_Word_Problems/347060: Please help me with my calculus question.It is due tomorrow.
A truck travelling along a straight section of highway, on a wet evening, braked suddenly to avoild blinky Bill who had wandered onto the road off in the distance.The reducing velocity of the truck under braking,v, in metres per second,is modelled by the equation:
v=30e^-t/2 -5
where t is the number of seconds after the brakes were applied.Assume the truck held its line under braking conditions.
Question:Modify the function for breaking velocity of the breaking truck, v=-5+30e^-t/2 to ensure the truck stops just short of blinky bill. Justify your answer.We want the truck to get as close as possible without touching poor blinky bill.
1 solutions

Answer 248271 by Fombitz(13828) About Me  on 2010-09-23 14:00:24 (Show Source):
You can put this solution on YOUR website!
Hint: distance is the integral of velocity:
D%28t%29=int%28v%28t%29%2Cdt%29


Volume/347201: what is the geometric mean of 2 and a is 5 square root of 5.
what is a?
1 solutions

Answer 248270 by Fombitz(13828) About Me  on 2010-09-23 13:58:18 (Show Source):


absolute-value/347194: Solve for x.
|2x-1| <=3
1 solutions

Answer 248269 by Fombitz(13828) About Me  on 2010-09-23 13:56:26 (Show Source):
You can put this solution on YOUR website!
abs%282x-1%29+%3C=3
2x-1%3C=3 and -%282x-1%29%3C=3
2x%3C=4 and 2x-1%3E=-3
x%3C=2 and 2x%3E=-2
x%3C=2 and x%3E=-1
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.
.
highlight%28-1%3C=x%3C=2%29
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.
.
Graphical verification
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.


Linear_Equations_And_Systems_Word_Problems/347200: Solve the system of equations
3x + y = 1
-x + 2y = 9
The answer to this problem is a.(1, 4) or b.(-1, 4)
Some say a some say b. Can someone tell me which is the correct answer and why?
1 solutions

Answer 248268 by Fombitz(13828) About Me  on 2010-09-23 13:52:33 (Show Source):
You can put this solution on YOUR website!
Some say a some say b.
Are you taking a poll?
There is only 1 right answer.
.
.
.
You can do it two ways.
Plug the values in and see which one satisfies the equation.
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.
.
Although that works, it won't help you next time you don't have an answer to choose from.
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.
.
You can solve by elimination or substitution.
Substitution: Use 1 equation to solve for 1 variable then substitute for that variable in the second equation.
1.3x+%2B+y+=+1
2.-x+%2B+2y+=+9
From eq. 2,
x=2y-9
Substitute into eq. 1,
3%282y-9%29%2By=1
6y-27%2By=1
7y=28
highlight%28y=4%29
Then from eq. 2,
x=2%284%29-9
x=8-9
highlight%28x=-1%29
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The other method is elimination.
Manipulate the equations to eliminate one of the variables.
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.
.
1.3x+%2B+y+=+1
2.-x+%2B+2y+=+9
Multiply eq. 2 by 3 and add the equations together.
3x%2By-3x%2B6y=1%2B27
7y=28
y=4
Then use either equation to solve for x.
.
.
Isn't that better than guessing?


Graphs/347196: Graph the equation x + 2y = 8
1 solutions

Answer 248267 by Fombitz(13828) About Me  on 2010-09-23 13:46:42 (Show Source):
You can put this solution on YOUR website!
Solve for the intercepts.
To find the x-intercept, set y=0 and solve for x.
x+%2B+2y+=+8
x%2B2%280%29=8
x=8
(8,0)
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.
To find the y-intercept, set x=0 and solve for y.
x+%2B+2y+=+8
0%2B2y=8
y=4
(0,4)
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Plot the points and connect them with a line going through them.
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.



Points-lines-and-rays/347106: Segment AB is perpendicular to segment BD. Segment AB and segment BD bisects each other at point x. if AB = 16 and CD = 20, what is the length of segment of BD ?
1 solutions

Answer 248265 by Fombitz(13828) About Me  on 2010-09-23 13:43:23 (Show Source):
You can put this solution on YOUR website!
AB is perpendicular to BD.
AB, BD bisect each other at point x.
If AB and BD share an end point, they can't bisect each other.
PLease explain.


Miscellaneous_Word_Problems/347105: A coin was flipped 24 times and came up heads 14 times and tails 10 times. If the first and the last flips were both heads, what is the greatest number of consecutive heads that could have occurred?
A 7 B 9 C 10 D 13

1 solutions

Answer 248261 by Fombitz(13828) About Me  on 2010-09-23 13:34:12 (Show Source):
You can put this solution on YOUR website!
The total number of heads is 14.
The first and the next 12 could have been heads giving 13 total.
Same for the first and the last 13 could have been heads giving 13 total.
If it occured elsewhere only 12 could have been consecutive.
highlight%2813%29


Expressions-with-variables/347195: Please help me solve 3x^4+13x^2-10=0. I believe I am supposed to use the substitution method, then the quadration formula. Thank you for your help.
1 solutions

Answer 248259 by Fombitz(13828) About Me  on 2010-09-23 13:30:18 (Show Source):
You can put this solution on YOUR website!
Let u=x%5E2. then u%5E2=x%5E4
3u%5E2%2B13u%5E2-10=0
.
.
.
u+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
u+=+%28-13+%2B-+sqrt%28+13%5E2-4%2A3%2A%28-10%29+%29%29%2F%282%2A3%29+
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Once you solve for u, substitute back and find x.


Quadratic_Equations/347155: 1+7/2A=15/2A
1 solutions

Answer 248253 by Fombitz(13828) About Me  on 2010-09-23 13:14:01 (Show Source):
You can put this solution on YOUR website!
1%2B7%2F%282A%29=15%2F%282A%29
Multiply both sides by 2A,
2A%2B7=15
2A=8
highlight%28A=4%29


Triangles/347179: if be=5cm bf=7cm and ef=8cm find the perimeter of bac
1 solutions

Answer 248252 by Fombitz(13828) About Me  on 2010-09-23 13:10:28 (Show Source):
You can put this solution on YOUR website!
How is c involved??
Do you have a diagram?


expressions/347143: Pls help me solve this equation
Suppose that 4x2+5y=7xy-6
Express y in terms of x.
1 solutions

Answer 248218 by Fombitz(13828) About Me  on 2010-09-23 11:08:04 (Show Source):


Linear-systems/347124: 6x-y=38
5y=6x-70
1 solutions

Answer 248217 by Fombitz(13828) About Me  on 2010-09-23 10:59:20 (Show Source):
You can put this solution on YOUR website!
1.6x-y=38
.
.
.
2.5y=6x-70
-6x%2B5y=-70
Add eq. 1 and eq. 2,
6x-y-6x%2B5y=38-70
4y=-32
highlight%28y=-8%29
Then use either equation to solve for x.
6x-%28-8%29=38
6x%2B8=38
6x=30
highlight%28x=5%29


Average/347100: Find the value of y if the mean of x ,y,15, and 35 is 25 and the mean of x,15, and 35 is 27
A 18 B 19 C 31 D 36

1 solutions

Answer 248208 by Fombitz(13828) About Me  on 2010-09-23 09:41:19 (Show Source):
You can put this solution on YOUR website!
%28x%2By%2B15%2B35%29%2F4=25
x%2By%2B50=100
x%2By=50
.
.
.
%28x%2B15%2B35%29%2F3=27
x%2B50=81
x=31
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.
Substituting,
31%2By=50
highlight%28y=19%29


Permutations/347117: Find the probability of a couple having a boy when their 6th child is born, given that the first five children were all boys. Assume boys and girls are equally likely. I'm not sure how to figure it out.
1 solutions

Answer 248205 by Fombitz(13828) About Me  on 2010-09-23 09:36:53 (Show Source):
You can put this solution on YOUR website!
The probability of having a boy or a girl is 1%2F2 you "assume boys and girls are equally likely".


Linear_Algebra/347108: System of Equations by Substitution

Solve each system by substitution.
7x+y=0
2x-y=9
1 solutions

Answer 248197 by Fombitz(13828) About Me  on 2010-09-23 08:58:58 (Show Source):
You can put this solution on YOUR website!
1.7x%2By=0
2.2x-y=9
.
.
.
From eq. 2,
y=2x-9
Substitute into eq. 1,
7x%2B%282x-9%29=0
9x-9=0
9x=9
highlight%28x=1%29


Travel_Word_Problems/347063: hello everyone.I need your help with my Calculus assignment. It is due tomorrow.Please help me.
A truck travelling along a straight section of highway, on a wet evening, braked suddenly to avoild blinky Bill who had wandered onto the road off in the distance.The reducing velocity of the truck under braking,v, in metres per second,is modelled by the equation:
v=30e^-t/2 -5
where t is the number of seconds after the brakes were applied.Assume the truck held its line under braking conditions.
Questions:
a. Find an expression for the distance traveled,s(t) after t seconds.
b. Sketch a grapgh of s(t) over the domain [0,10).
c. Discuss the limitation of this function as a model for the distance covered after braking.
d. Poor Blinky was 30m down the highway whe the brakes were applied. He was dazzled by the lights of the truck and froze to the spot.Show why our favorite koala was in a spot of bother.
e. How fast was the truck going when it struck Blinky?
f. What was the minimum distance Blinky could have been standing to avoid contact?

1 solutions

Answer 248195 by Fombitz(13828) About Me  on 2010-09-23 08:43:54 (Show Source):
You can put this solution on YOUR website!
I asked a question yesterday but you did not respond.
Is the exponent of the function -t%2F2-5 or is it -t%2F2 and the -5 is just a constant?


Polynomials-and-rational-expressions/347082: Solve for y. 5x+4y=8
1 solutions

Answer 248194 by Fombitz(13828) About Me  on 2010-09-23 08:38:33 (Show Source):


Circles/347053: Hi I am stuck, any help would be great, thanks!
Explain whether any two arcs of the same circle are similar.
1 solutions

Answer 248193 by Fombitz(13828) About Me  on 2010-09-23 08:37:46 (Show Source):
You can put this solution on YOUR website!
Yes, if they are from the same circle, they are similar, they have the same curvature (same radius). Their angular spans may differ but they are identical in radius.


Numeric_Fractions/347058: Why 0/n=0, for nonzero integer n.
1 solutions

Answer 248192 by Fombitz(13828) About Me  on 2010-09-23 08:35:13 (Show Source):
You can put this solution on YOUR website!
Because that's the definition of zero.
Zero multiplied by any number is zero.
0%2An=0
So then dividing by n.
0=0%2Fn


Age_Word_Problems/347064: ana is 5 years than twice as paul. Sum of their age is 19. how old are they?
1 solutions

Answer 248191 by Fombitz(13828) About Me  on 2010-09-23 08:34:19 (Show Source):
You can put this solution on YOUR website!
"ana is 5 years than twice as paul"
Is Ana 5 years older or 5 years younger than twice Paul??
It's unclear from your explanation.
Ana is 5 years older than twice Paul's age.
A=5%2B2P
A%2BP=19
Substitute for A.
5%2B2P%2BP=19
3P=14
P=14%2F3 years old
.
.
.
A=5%2B28%2F3
A=15%2F3%2B28%2F3
A=42%2F3 years old
.
.
.


Linear-equations/347086: f(x) = 3x^2 - 2x, find f(x)- f(1)/x-1. Simplify completely
1 solutions

Answer 248190 by Fombitz(13828) About Me  on 2010-09-23 08:32:34 (Show Source):


Travel_Word_Problems/347037: Hi everyone.I really need your help answering all of these questions in my assignment.It is my only chance to pass my subject.
It is due tomorrow.
A truck travelling along a straight section of highway, on a wet evening, braked suddenly to avoild blinky Bill who had wandered onto the road off in the distance.The reducing velocity of the truck under braking,v, in metres per second,is modelled by the equation:
v=30e^-t/2 -5
where t is the number of seconds after the brakes were applied.Assume the truck held its line under braking conditions.
1. calculate how long it took the truck to come to a stop. Express your answer as both an exact value and accurate to 2 decimal places.
2. At what time after braking was the truck's velocity 15m/s.Express your answer as both an exact value and accurate to 2 decimal places.

1 solutions

Answer 248189 by Fombitz(13828) About Me  on 2010-09-23 08:29:49 (Show Source):
You can put this solution on YOUR website!
I asked a question yesterday but you did not respond.
Is the exponent of the function -t%2F2-5 or is it -t%2F2 and the -5 is just a constant?