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Complex_Numbers/304606: How can i solve this-
If y= cosx + i sinx show that dy/dx = i y (remember i is a constant)
Thank you.
1 solutions

Answer 218117 by Fombitz(13828) About Me  on 2010-05-14 15:00:28 (Show Source):


Graphs/304629: Which of the following does not lie on the graph of y = 2x - 2?
(-1/2, -3)
(1/2, 1)
(-1, -4)
1 solutions

Answer 218116 by Fombitz(13828) About Me  on 2010-05-14 14:56:44 (Show Source):


Radicals/304616: What is sqrt of x plus 2= sqrt x-1???
1 solutions

Answer 218113 by Fombitz(13828) About Me  on 2010-05-14 14:54:27 (Show Source):
You can put this solution on YOUR website!
Like this you mean?
sqrt%28x%29%2B2=sqrt%28x-1%29
Square both sides.
x%2B4%2Asqrt%28x%29%2B4=x-1
4%2Asqrt%28x%29%2B4=-1
4%2Asqrt%28x%29=-5
sqrt%28x%29=-%285%2F4%29
x=25%2F16
Check the solution,
sqrt%2825%2F16%29%2B2=sqrt%2825%2F16-1%29
2+%2B-+5%2F4+=+0+%2B-+sqrt%289%2F16%29
2+%2B-+5%2F4+=+0+%2B-+3%2F4
The statement is true because
2-5%2F4=3%2F4


Polynomials-and-rational-expressions/304622: 6-16x²=2y ; x=-1 y=-5
1 solutions

Answer 218110 by Fombitz(13828) About Me  on 2010-05-14 14:47:43 (Show Source):
You can put this solution on YOUR website!
Yes, now what?


Graphs/304543: What is 5x + 3y > -6 and 2y + x < 6 in slope intercept form?
1 solutions

Answer 218109 by Fombitz(13828) About Me  on 2010-05-14 14:46:34 (Show Source):
You can put this solution on YOUR website!
Your question doesn't make sense.
Each of the inequalities define a region.
From the set of regions, you cannot define a slope or an intercept.
Please re-post your question.


real-numbers/304583: x^4-5x^3-6x^2+32x+32, i need the multiplicity as well

1 solutions

Answer 218108 by Fombitz(13828) About Me  on 2010-05-14 14:45:06 (Show Source):
You can put this solution on YOUR website!
+graph%28+300%2C300%2C+-5%2C+5%2C+-10%2C+10%2C+x%5E4-5x%5E3-6x%5E2%2B32x%2B32%29+
It looks like single roots at x=-1 and x=-2 with a double root at x=4.
Verify that these solutions truly solve the equation by plugging in each x value and verifying that the sum is zero.


Equations/304574: What is the best classification for the number -0.6666667? Please show how it's done
1 solutions

Answer 218107 by Fombitz(13828) About Me  on 2010-05-14 14:41:55 (Show Source):
You can put this solution on YOUR website!
Rational number.
It's the ratio of -2 to 3.
-%282%2F3%29=-0.66667


Probability-and-statistics/304545: Jobs of 400 students at a school at 35% have part time jobs. Find the probility that one student selected at random will have a part time what’s the answer
1 solutions

Answer 218105 by Fombitz(13828) About Me  on 2010-05-14 14:40:36 (Show Source):
You can put this solution on YOUR website!
If 35% of the students have a part time job, then the probability is 35% if you randomly choose 1 student in the group and ask about job status.


test/304552: Solve:
t + 3 + 2t = -2(t + 6)
1 solutions

Answer 218104 by Fombitz(13828) About Me  on 2010-05-14 14:38:52 (Show Source):
You can put this solution on YOUR website!
+t+%2B+3+%2B+2t+=+-2%28t+%2B+6%29
3t%2B3=-2t-12
5t=-15
t=-3
Verify with the original equation.
+t+%2B+3+%2B+2t+=+-2%28t+%2B+6%29
+-3+%2B+3+%2B+2%28-3%29+=+-2%28-3+%2B+6%29
-6+=+-2%283%29
-6+=+-6
True statement, good solution.
highlight_green%28t=-3%29


test/304550: simplying expressions:
If
(3500) 100 = 3x then x =
1 solutions

Answer 218102 by Fombitz(13828) About Me  on 2010-05-14 14:36:58 (Show Source):


logarithm/303310: log(base)6(2x-5)+1=log(base)6(7x+10)
1 solutions

Answer 217431 by Fombitz(13828) About Me  on 2010-05-11 16:54:27 (Show Source):


Angles/303321: Please help me solve this math problem, i am really confused. the problem is directly quoted from my homework.
"if i were 40 degrees less, i would equal my supplement." i need to find the measure of that angle. i have tried to turn it into an algebraic equation, but i do not get a legitimate answer.
1 solutions

Answer 217427 by Fombitz(13828) About Me  on 2010-05-11 16:50:16 (Show Source):
You can put this solution on YOUR website!
The angle plus its supplement equals 180.
1.A%2BS=180
If A was 40 degrees less, it would be S.
2.A-40=S
Now substitute eq. 2 into eq. 1 and solve for A.
Then use either equation to solve for S.
Re-post if you need help.


Radicals/303317: How do you simplify square root 10 over square root 4? do you multiply both terms by sqaure root 4 and get sqaure root 40 and then the bottom sqaure root 16? then how do you simplify it?
1 solutions

Answer 217424 by Fombitz(13828) About Me  on 2010-05-11 16:48:05 (Show Source):
You can put this solution on YOUR website!
Yes, you can do it that way.

sqrt%2810%29%2Fsqrt%284%29=sqrt%2840%29%2Fsqrt%2816%29
sqrt%2810%29%2Fsqrt%284%29=sqrt%284%2A10%29%2F4
sqrt%2810%29%2Fsqrt%284%29=%282%2Asqrt%2810%29%29%2F4
sqrt%2810%29%2Fsqrt%284%29=sqrt%2810%29%2F2
.
.
.
or you could just do,
sqrt%2810%29%2Fsqrt%284%29=sqrt%2810%29%2F2
Same result but fewer steps.


Probability-and-statistics/303255: I have a simple probability problem that I think I solved, but I am unsure of my answer. Here is the situation:
There are 160 girls and 96 boys enrolled at a high school. The school newspaper will randomly select a student to be interviewed. What is the probability of selecting a girl?
My answer:
160+96 = 256 (total students, total outcome)

P = 160 (girls)
__________________
256 (total outcome)
Simplify
160/256 = 5/8
Decimal
.625
Percent
62.5%
OR!
Alternate answer:
P = 2 (favorable outcomes)
_______________________
256 (possible outcomes)
Simplify
2/256 = 1/128
Decimal
.70
Percent
70%
If anyone comes out with a different answer, please correct me. I would really appreciate it. Thank you!
Lauren





1 solutions

Answer 217419 by Fombitz(13828) About Me  on 2010-05-11 16:44:28 (Show Source):
You can put this solution on YOUR website!
Your first answer is correct.
P(girl)=girls/total=girls/(girls+boys)
.
.
.
I'm not sure about your alternate answer.
That would only be true if there were 2 girls out of 160.
Also, 1/128=0.0078125 or 0.72%


Triangles/303165: the measure of an equilateral triangle is 5 root 3 find the perimeter
1 solutions

Answer 217412 by Fombitz(13828) About Me  on 2010-05-11 16:40:36 (Show Source):
You can put this solution on YOUR website!
Which "measure"? Do you mean the side length?
Please re-post.


Linear_Algebra/303311: write the interval notation for the set {x|-3>x>5}
1 solutions

Answer 217410 by Fombitz(13828) About Me  on 2010-05-11 16:39:30 (Show Source):


Numeric_Fractions/303235: 2x^3-[4x-{3(x^2-5x+2)}-13x^2]-4(2x-2x^2+2)
1 solutions

Answer 217408 by Fombitz(13828) About Me  on 2010-05-11 16:38:55 (Show Source):


Radicals/303299: √x^2+9x+14=x+4
1 solutions

Answer 217392 by Fombitz(13828) About Me  on 2010-05-11 16:21:04 (Show Source):
You can put this solution on YOUR website!
I assume the square root term encloses the entire left hand side??
sqrt%28x%5E2%2B9x%2B14%29=x%2B4
x%5E2%2B9x%2B14=%28x%2B4%29%5E2
x%5E2%2B9x%2B14=x%5E2%2B8x%2B16
highlight_green%28x=2%29
.
.
.
Verify the solution.
sqrt%28x%5E2%2B9x%2B14%29=x%2B4
sqrt%282%5E2%2B9%282%29%2B14%29=2%2B4
sqrt%284%2B18%2B14%29=6
sqrt%2836%29=6
6=6
True, it's a good solution.


Complex_Numbers/303237: List all numbers for which the rational expression is undefined.
x^2-9 / x^2+3x-18
A. -3, 6
B. -6, 3
C. -3, 3
D. 0

1 solutions

Answer 217390 by Fombitz(13828) About Me  on 2010-05-11 16:17:52 (Show Source):
You can put this solution on YOUR website!
Simplify first.
%28x%5E2-9%29%2F%28x%5E2%2B3x-18%29=%28%28x%2B3%29%28x-3%29%29%2F%28%28x%2B6%29%28x-3%29%29

%28x%5E2-9%29%2F%28x%5E2%2B3x-18%29=%28x%2B3%29%2F%28x%2B6%29
The expression is undefined when the denominator equals zero.
x%2B6=0
x=-6
.
.
.
The correct answer is not available as a choice.
.
.
.
+graph%28+300%2C300%2C+-10%2C+10%2C+-10%2C+10%2C+%28x%5E2-9%29%2F%28x%5E2%2B3x-18%29%29+


absolute-value/303295: Solve and write the solution using interval notation
2[5x-1]<6

1 solutions

Answer 217387 by Fombitz(13828) About Me  on 2010-05-11 16:12:59 (Show Source):
You can put this solution on YOUR website!
Do your brackets "[ ]" signify absolute value or are they just brackets?
If they're only brackets, then,
2%285x-1%29%3C6
5x-1%3C3
5x%3C4
x%3C4%2F5


Sequences-and-series/303218: After the first term, each term in a sequence is 3 greater than 1/3 of the
preceding term. If t is the first term of the sequence and t ≠ 0, what is the ratio of the second term to the first term?
(A) (t + 9)/3
(B) (t + 3)/3
(C) (t + 9)/3t
(D) (t + 3)/3t
(E) (9 – 2t)/3
1 solutions

Answer 217386 by Fombitz(13828) About Me  on 2010-05-11 16:11:06 (Show Source):
You can put this solution on YOUR website!
First term: t
Second term: t%2F3%2B3
Ratio: %28t%2F3%2B3%29%2Ft=%28t%2B9%29%2F3t
C) is the correct answer.


Divisibility_and_Prime_Numbers/303214: when a positive integer n is divided by 5, the remainder is 4. which of the following expressions will yield a remainder of 2 when it is divided by 5 ?
a n+1 b n+2 c n+3 d n+4 e n+5
1 solutions

Answer 217383 by Fombitz(13828) About Me  on 2010-05-11 16:08:13 (Show Source):
You can put this solution on YOUR website!
n%2F5=p%2B4, where p is an integer.
n=5p%2B20
.
.
.
%28n%2Ba%29%2F5=n%2F5%2Ba%2F5=p%2B4%2Ba%2F5=q%2Ba%2F5, where q is an integer.
a%2F5=2%2F5
a=2
so then b) is the correct answer.


Miscellaneous_Word_Problems/303206: Find an equation for the line tangent to the graph of the function at a specified point. Equation should be in form y = mx+b at (4, 2/5)

1 solutions

Answer 217380 by Fombitz(13828) About Me  on 2010-05-11 16:04:14 (Show Source):
You can put this solution on YOUR website!
No graph or slope provided.
Can't continue without additional information.
Please re-post.


Quadratic-relations-and-conic-sections/303167: *Write an eqaution in standard(graphing) form
*State which of the following (parabola, circle, elipsem or hyperbola)each represents.
--y=3x^2 - 24x+50
--x^2-4y^2-6x+16y-11=0
--x^2+y^2-6x-2y-6=0
--4x^2+y^2-8x+6y-23=0
1 solutions

Answer 217379 by Fombitz(13828) About Me  on 2010-05-11 16:03:17 (Show Source):
You can put this solution on YOUR website!
y=3x%5E2+-+24x%2B50
Parabola
+graph%28+300%2C+300%2C+-5%2C+15%2C+-5%2C+15%2C+3x%5E2+-+24x%2B50%29+
.
.
.
x%5E2-4y%5E2-6x%2B16y-11=0
Could only be a hyperbola.
Unequal coefficients and unequal signs for x%5E2 and y%5E2 terms. Complete the square in x and y to verify.
.
.
.
x%5E2%2By%5E2-6x-2y-6=0
Could only be a circle
Equal coefficients and equal signs for x%5E2 and y%5E2 terms.
Complete the square in x and y to verify.
.
.
.
4x%5E2%2By%5E2-8x%2B6y-23=0
Could only be an ellipse.
Unequal coefficients and equal signs for x%5E2 and y%5E2 terms.
Complete the square in x and y to verify.


Triangles/303291: What is the relationship between a rectangle and triangle
1 solutions

Answer 217374 by Fombitz(13828) About Me  on 2010-05-11 15:57:29 (Show Source):
You can put this solution on YOUR website!
Rectangle have 4 sides.
Triangles have 3 sides.
.
.
.
There really is no relationship between them... although they used to go out back in freshman year. The triangle thought the rectangle was getting too square and the rectangle thought the triangle would be cuter with that extra side.


Equations/303289: does the inequality sign change when multiplying and deviding by a negative number? why or why not?
1 solutions

Answer 217371 by Fombitz(13828) About Me  on 2010-05-11 15:54:30 (Show Source):
You can put this solution on YOUR website!
Yes... because that's the rule.


Trigonometry-basics/303177: if y varies directly as x and inversely as z^2, and y=3 when x=2 and z=4, what is the value of x when y=6 and z=2
1 solutions

Answer 217370 by Fombitz(13828) About Me  on 2010-05-11 15:53:57 (Show Source):


Quadratic-relations-and-conic-sections/303208: y-squared/9 + (x+1)squared/4=1
1 solutions

Answer 217366 by Fombitz(13828) About Me  on 2010-05-11 15:51:16 (Show Source):


Probability-and-statistics/303229: The surface of the earth is about 197 million square miles. The land area is about 57 million square miles and the rest is water. What is the probability that a meteorite falling to earth will hit water? Round to 3 decimal places.
1 solutions

Answer 217363 by Fombitz(13828) About Me  on 2010-05-11 15:45:22 (Show Source):
You can put this solution on YOUR website!
57/197 Land
140/197 Water
Probability of meteorite hitting water is
P=140%2F197=0.711 or 71.1%


Average/303240: If 75 is passing and there was 87 problems; up to how many could I get wrong?
1 solutions

Answer 217362 by Fombitz(13828) About Me  on 2010-05-11 15:43:28 (Show Source):
You can put this solution on YOUR website!
To pass you need to get,
75%2F100=X%2F87
X=%2875%2A87%29%2F100
X=65.25
You'd need to get 65 correct to get a 75% (actually it's 74.7% so hopefully the teacher rounds up).
So you could miss (87-65=) 22 incorrect


Linear-equations/303243: Find the slope and y-intercept of the line 9x-3y=54.
1 solutions

Answer 217359 by Fombitz(13828) About Me  on 2010-05-11 15:40:04 (Show Source):
You can put this solution on YOUR website!
Convert to slope-intercept form, y=mx%2Bb
9x-3y=54
3y=9x-54
y=3x-18
Slope:m=3
Intercept:b=-18