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test/329215: A brief explanation for the meaning -the coefficient of x^2 is 6.
1 solutions

Answer 236125 by Fombitz(13828) About Me  on 2010-08-06 10:59:43 (Show Source):
You can put this solution on YOUR website!
The number in front of the x%5E2 term in the expression 6x%5E2%2B3x%2B10 is the number 6.


Probability-and-statistics/329423: The probability that a cruise missile hits target on any particular mission is .80. Four cruise missiles are sent after the same target. What is the probability:

A. They all hit the target?
B. None hit the target?
C. At least one hits the target?


1 solutions

Answer 236124 by Fombitz(13828) About Me  on 2010-08-06 10:58:15 (Show Source):
You can put this solution on YOUR website!
A)P=%280.8%29%5E4=0.4096
.
.
B)P=%280.2%29%5E4=0.0016
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.
C)"At least one hits the target" is the same as saying "not all missed".
P(all missed)+P(not all missed)=1
P(not all missed)=1-P(all missed)
P(not all missed)=1-0.0016=0.9984
P(at least one)=0.9984


Probability-and-statistics/329228: How do you formulate a numerical hypothesis from this statement?....Sleep deprivation has negative physical and mental affects on the body.
1 solutions

Answer 236121 by Fombitz(13828) About Me  on 2010-08-06 10:53:52 (Show Source):
You can put this solution on YOUR website!
You would have to generate a hypothesis using some study that you propose.
As an example, patients who have less than 4 hours of sleep per night performed significantly worse on the 10 question quiz and obstacle course than those that had more than 4 hours of sleep per night.
In other words, define what you mean by sleep deprivation and then describe how you'll measure what "negative physical and mental affects on the body"


Miscellaneous_Word_Problems/329421: A plane travels at 120 mph in still air. It is headed due south in a wind of 30 mph from the northeast. What is the resultant velocity of the plane? Find the magnitude and the drift angle. The drift angle is the angle between the intended line of flight and the true line of flight.
1 solutions

Answer 236120 by Fombitz(13828) About Me  on 2010-08-06 10:49:57 (Show Source):
You can put this solution on YOUR website!
Let's define a coordinate system where East is positive x, North is positive y.
Without wind, the plane would travel with velocity (0,-120).
From the northeast to the southwest direction is 225 degrees if the positive x axis is 0 degrees.
The wind velocity is (30cos%28225%29,30sin%28225%29)=(-21.21,-21.21)
So the resultant velocity is (-21.21,-120-21.21)=(-21.21,-141.21).
The magnitude of the resultant is
S=sqrt%28%2821.21%29%5E2%2B%28141.21%29%5E2%29=142.8 mph
The tangent of the angle of the resultant is,
tan%28A%29=-141.21%2F%28-21.21%29=6.658
so then,
A=261.5degrees
Since the plane should be traveling at due South (270 degrees), the drift angle is
270-261.5=8.5degrees West of South


Graphs/329419: Good Morning,
How do you graph and label equations. This is concerning slope, and y=mx+b. I have Math packets that i can reference to but they dont teach how to label x and y in an equation(based on y=mx+b). Tahnk you
1 solutions

Answer 236118 by Fombitz(13828) About Me  on 2010-08-06 10:39:17 (Show Source):
You can put this solution on YOUR website!
The x-axis is horizontal.
The y-axis is vertical.
Ordered pairs are presented in (x,y) format.
Point (3,2) is here.

Lines can be presented in slope intercept form, y=mx%2Bb where m is the slope and b is the y-intercept.
The y-intercept is where the line crosses the y-axis.
As an example, here is the graph of y=x%2B1 which has a y-intercept of (0,1),
.
.
.

.
.
.
You can graph an equation given the slope-intercept form in the following way.
First plot the intercept, (0,b).
Then use the slope to determine another point on the line.
The slope describes the change in y divided by the change in x for each point on the line.
As an example, let's graph y=3x-4
Plot the point (0,-4)
.
.
.

.
.
.
Next use the slope.
THe slope of the equation is m=3 which means that for each 1 unit change in x, the change in y is 3 units since m=3%2F1=3.
So then start at the y-intercept (0,-4) and determine another point.
x:0%2B1=1
y:-4%2B3=-1
Another point of the line would be (1,-1).
You can double check by finding the slope using the two points,
m=%28y2-y1%29%2F%28x2-x1%29=%28-1-%28-4%29%29%2F%281-0%29=3%2F1=3
So then plot the point (1,-1).
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.

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A straight line only needs two points to define it.
Draw the straight line that includes the two points.
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.
.

.
.
.
So now you have the graph of y=3x-4.


Polynomials-and-rational-expressions/329309: A six-passenger plane cruises at 180 mph in
calm air. If the plane flies 7 miles with the wind in the
same amount of time as it flies 5 miles against the wind,
then what is the wind speed?
1 solutions

Answer 236116 by Fombitz(13828) About Me  on 2010-08-06 10:24:03 (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
.
.
.
1.%28180%2BW%29t=7
2.%28180-W%29t=5
From eq. 1,
180%2BW=7%2Ft
From eq. 2,
180-W=5%2Ft
Add those two results together,
180%2BW%2B180-W=7%2Ft%2B5%2Ft
360=12%2Ft
t=12%2F360=1%2F30
Substituting into eq. 1,
%28180%2BW%29%281%2F30%29=7
180%2BW=210
highlight%28W=30%29mph


Miscellaneous_Word_Problems/329420: A carpenter is building a rectangle room with a fixed perimeter of 336 ft. What dimensions would yield the maximum area?
What is the maximum area?
1 solutions

Answer 236115 by Fombitz(13828) About Me  on 2010-08-06 10:19:06 (Show Source):
You can put this solution on YOUR website!
DUPLICATE See Answer 236106


test/329276: (w2 ) (7x ) over 14x. 3w = ?
1 solutions

Answer 236114 by Fombitz(13828) About Me  on 2010-08-06 10:18:03 (Show Source):


Surface-area/329415: a box is 12 inches in width,16 inches in length, and 6 inches in height.how many square inches of paper would be required to cover all sides
1 solutions

Answer 236113 by Fombitz(13828) About Me  on 2010-08-06 10:15:28 (Show Source):


Travel_Word_Problems/329418: how many hours will it take to complete a 63-km bike ride if you go 20km per hour the whole time?
1 solutions

Answer 236112 by Fombitz(13828) About Me  on 2010-08-06 10:12:43 (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
R%2At=D
t=D%2FR
t=63%2F20=3.15hr or 3 hr 9 min


Equations/329300: solve
3x-5y=-21
x+37=7
1 solutions

Answer 236111 by Fombitz(13828) About Me  on 2010-08-06 10:10:15 (Show Source):
You can put this solution on YOUR website!
1.3x-5y=-21
2.x%2B3y=7
From eq. 2,
x=7-3y
3x=21-9y
Substitute into eq. 1,
21-9y-5y=-21
-14y=-42
highlight%28y=3%29
Then from above,
x=7-9
highlight%28x=-2%29


Miscellaneous_Word_Problems/329264: If leah is 6yrs older than sue, john is 5 yrs older than leah, and the total of their aes is 41. Then how old is Sue?
1 solutions

Answer 236110 by Fombitz(13828) About Me  on 2010-08-06 10:07:44 (Show Source):
You can put this solution on YOUR website!
1.L=6%2BS
2.J=5%2BL
3.L%2BJ%2BS=41
From eq. 1,
S=L-6
Substitute this result and eq. 2 into eq. 3,
L%2B5%2BL%2BL-6=41
3L=42
L=14
S=14-6=8
Sue is 8 years old.


Radicals/329267: A pizzeria serves 2 types of dough (wheat and white), 3 kinds of sauces (chunky tomato, marinara, and white), 2 kinds of cheeses (provolone and mozzarella). If a pizza uses one type from each category, how many different kinds of pizzas can the pizza man make?
1 solutions

Answer 236109 by Fombitz(13828) About Me  on 2010-08-06 10:05:07 (Show Source):
You can put this solution on YOUR website!
N=2*3*2=12 different pizza types.


real-numbers/329417: for what real number k does 3x^2-k factor as
3(x-2)(x+2)
1 solutions

Answer 236108 by Fombitz(13828) About Me  on 2010-08-06 10:04:26 (Show Source):


Miscellaneous_Word_Problems/329411: Noah is trying to qualify for a race. A driver needs to complete 8 laps of a seven-mile track at an average speed of 105.66 mph to qualify. Noah has already completed the first three laps. His average speed so far is ninety-two mph. What must his average speed be for the rest of the race to qualify?
Any help with this will be greatly appreciated
Thanks!!!
1 solutions

Answer 236107 by Fombitz(13828) About Me  on 2010-08-06 10:02:57 (Show Source):
You can put this solution on YOUR website!
Let A-H be the speed for each of his qualifying laps.
For the first 3 laps,
%28A%2BB%2BC%29%2F3=92
A%2BB%2BC=276
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.
The average for all 8 laps,
%28A%2BB%2BC%2BD%2BE%2BF%2BG%2BH%29%2F8%3E=105.66
.
276%2BD%2BE%2BF%2BG%2BH=845.28
.
D%2BE%2BF%2BG%2BH=569.28
.
.
So then the average for the last 5 laps must be,
%28D%2BE%2BF%2BG%2BH%29%2F5%3E=113.856mph


Quadratic_Equations/329416: A carpenter is building a rectangle room with a fixed perimeter of 356 ft. What dimensions would yield the maximum area?
What is the maximum area?
1 solutions

Answer 236106 by Fombitz(13828) About Me  on 2010-08-06 09:57:34 (Show Source):
You can put this solution on YOUR website!
THe perimeter of a rectangle is,
P=2L%2B2W=356
L%2BW=178
The area of a rectangle is,
A=L%2AW
From the perimeter equation,
L=178-W
Substitute into the area equation,
A=%28178-W%29W
Now the area is a function of one variable.
To find the maximum, take the derivative wrt W and set it equal to zero.
A=178W-W%5E2
dA%2FdW=178-2W=0
2W=178
W=89
Then from above,
L=178-89=89
The maximum area for a given perimeter is obtained using a square.
Amax=89%5E2=7921sq.ft.


Equations/329281: Add 3 to half a number, and it's the same as subtracting 1 from it. What is the number?
1 solutions

Answer 236105 by Fombitz(13828) About Me  on 2010-08-06 09:53:27 (Show Source):
You can put this solution on YOUR website!
Let the number be N.
3%2B%281%2F2%29N=N-1
Multiply both sides by 2.
6%2BN=2N-2
highlight%28N=8%29


Numeric_Fractions/329298: 4 1/8 x 1/5
1 solutions

Answer 236104 by Fombitz(13828) About Me  on 2010-08-06 09:52:06 (Show Source):


Rational-functions/329336: can u help me solve the problem..
The directions are : graph each of the following
y=4x-4
1 solutions

Answer 236103 by Fombitz(13828) About Me  on 2010-08-06 09:50:39 (Show Source):
You can put this solution on YOUR website!
y=4x-4
Plot the intercept, (0,-4).
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.
.
.
To find another point, use the slope.
Slope is change in y over change in x.
So for each 1 change in x, there is a 4 unit change in y since m=%28DELTA%2Ay%29%2F%28DELTA%2Ax%29=4%2F1=4
Start at the intercept to find another point.
x:0%2B1=1
y:-4%2B4=0
(1,0) is another point on the line.
Plot it and connect the two points with a line.
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Probability-and-statistics/329413: An urn contains 8 brown marbles and 11 green marbles. Two marbles are drawn from the urn without replacement. What is the probability of drawing a green marble on the first draw and a brown marble on the second draw?
1 solutions

Answer 236101 by Fombitz(13828) About Me  on 2010-08-06 09:45:54 (Show Source):
You can put this solution on YOUR website!
8 Brown
11 Green
19 total
First marble green, P=11%2F19
Second marble brown, P=8%2F18=4%2F9
P(1G,2B)=%2811%2F19%29%284%2F9%29=44%2F171


Linear_Equations_And_Systems_Word_Problems/329272: Dry Cleaners. Claudio, a banking vice-president, took
17 neckties to Milto Cleaners. The rate for non-silk ties
is $3.25 per tie and for silk ties is $3.60 per tie. His total
bill was $58.75. How many silk ties did he have dry
cleaned?
1 solutions

Answer 236100 by Fombitz(13828) About Me  on 2010-08-06 09:41:57 (Show Source):
You can put this solution on YOUR website!
Let S be the number of silk ties, N the number of non-silk ties.
1.S%2BN=17
2.3.60S%2B3.25N=58.75
From eq. 1,
S=17-N
Subsitute into eq. 2,
3.6%2817-N%29%2B3.25N=58.75
61.2-3.6N%2B3.25N=58.75
-0.35N=-2.45
highlight%28N=7%29
From eq. 1,
S%2B7=10
highlight%28S=10%29


logarithm/329270: Given that f(x)=x2-14 and g(x)=7x+1, find (fg)(- 1/7), if it exists.
(fg)(- 1/7) =

1 solutions

Answer 236099 by Fombitz(13828) About Me  on 2010-08-06 09:38:58 (Show Source):


Exponential-and-logarithmic-functions/329339: Im not to sure if I have my answer right. this is using the power of pwoer rule.
the problem is:
-5y4(y5)2/15y7(y2)3
my solution was:
-5y4*y10/15y7*y6
-5y6/15y13
-1/3y7 answer
1 solutions

Answer 236098 by Fombitz(13828) About Me  on 2010-08-06 09:37:21 (Show Source):
You can put this solution on YOUR website!
No you made a mistake at this point.
The numerator should be y%5E%2814%29 instead of y%5E6.



Equations/329342: solve
6x+z=6+y
8x-3y=6
6x-2y+4z=1
1 solutions

Answer 236096 by Fombitz(13828) About Me  on 2010-08-06 09:33:43 (Show Source):
You can put this solution on YOUR website!
DUPLICATE See Answer 236076


Equations/329305: solve system
6x+z=6+y
8x-3y=6
6x-2y+4z=1
1 solutions

Answer 236095 by Fombitz(13828) About Me  on 2010-08-06 09:33:01 (Show Source):
You can put this solution on YOUR website!
DUPLICATE See Answer 236076


Proportions/329299: 1/2=5/10
1 solutions

Answer 236094 by Fombitz(13828) About Me  on 2010-08-06 09:31:27 (Show Source):


test/329294: Standard from for the equation of a cricle with center (h,k) and radius r
*find the standard form of the equation of a cirlce with center (3,-2) and solution point (-1,1)
1 solutions

Answer 236093 by Fombitz(13828) About Me  on 2010-08-06 09:30:48 (Show Source):
You can put this solution on YOUR website!
The general equation for a circle centered at (h,k) with a radius R is:
%28x-h%29%5E2%2B%28y-k%29%5E2=R%5E2
Use the center and point to find the radius,
%28-1-3%29%5E2%2B%281%2B2%29%5E2=R%5E2
R%5E2=16%2B9
R%5E2=25
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%28x-3%29%5E2%2B%28y%2B2%29%5E2=25
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x%5E2-6x%2B9%2By%5E2%2B2y%2B4=25
x%5E2-6x%2By%5E2%2B2y-12=0
Not sure which form you wanted so there's both of them.


Geometric_formulas/329291: what is the surface area of a sphere with a diameter of 12 centimeters?
1 solutions

Answer 236090 by Fombitz(13828) About Me  on 2010-08-06 09:26:49 (Show Source):
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Surface area of a sphere is,
SA=4%2Api%2Ar%5E2=4%2Api%2A%2812%2F2%29%5E2=144%2Apisq.cm.


Square-cubic-other-roots/329284: Solve by taking square roots:
p^2-32=0
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Answer 236089 by Fombitz(13828) About Me  on 2010-08-06 09:25:22 (Show Source):
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p%5E2-32=0
p%5E2=32
Take the square root of both sides.
p=0+%2B-+sqrt%2832%29
p=0+%2B-+4sqrt%282%29


Square-cubic-other-roots/329290: Use the discriminant to determine whether the quadratic equation below has one real number solution, two real number solutions, or two complex number solutions:
10z^2-z+7-0
1 solutions

Answer 236087 by Fombitz(13828) About Me  on 2010-08-06 09:24:08 (Show Source):
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+D=b%5E2-4ac+
D=%28-1%29%5E2-4%2810%29%287%29
D=1-280
D=-279
Since the discriminant is negative, the roots are complex.
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.
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Graphical verification, the curve never crosses the x-axis, hence complex roots.
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graph%28300%2C300%2C-10%2C10%2C-5%2C15%2C10x%5E2-x%2B7%29


Square-cubic-other-roots/329286: Solve by completing the square:
x^2-x-42=0
1 solutions

Answer 236081 by Fombitz(13828) About Me  on 2010-08-06 09:13:05 (Show Source):