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MathLover1 answered: 6632 problems
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test/677818: Hi I rlly need help on 4 math problems
1 solutions

Answer 421075 by MathLover1(6634) About Me  on 2012-11-08 15:29:22 (Show Source):
You can put this solution on YOUR website!
post them here


Exponents-negative-and-fractional/677750: I appologize in advance for the way this problem is typed, the square root sign cannot be cut & pasted.
solve:

zx^-4 (sqrt)X (yz^4)^3
/ DIVIDED BY

Z^7xy

I came up with a horrible answer, 2916. My math work must have gone wrong some where?
1 solutions

Answer 421064 by MathLover1(6634) About Me  on 2012-11-08 15:06:08 (Show Source):
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%28zx%5E-4+%2Asqrt%28x%29%2A%28yz%5E4%29%5E3%29%2F+%28Z%5E7xy%29

%28z%281%2Fx%5E4%29+%2Asqrt%28x%29%2Ay%5E3z%5E12%29%2F+%28Z%5E7xy%29

%28%281%2Fx%5E4%29+%2Asqrt%28x%29%2Ay%5E3%2Az%2Az%5E12%29%2F+%28Z%5E7xy%29



%28sqrt%28x%29%2Ay%5E2%2Az%5E6%29%2F+%28x%5E4%2Ax%29

%28sqrt%28x%29%2Ay%5E2%2Az%5E6%29%2Fx%5E5....square both nominator and denominator to eliminate sqrt%28x%29 from nominator

%28sqrt%28x%29%29%5E2%2A%28y%5E2%29%5E2%2A%28z%5E6%29%29%5E2%2Fx%5E%285%29%5E2.


%28x%2Ay%5E4%2Az%5E12%29%2Fx%5E10

%28cross%28x%29%2Ay%5E4%2Az%5E12%29%2Fx%5Ecross%2810%29%5E9

%28y%5E4%2Az%5E12%29%2Fx%5E9




Linear-equations/677160: Hello, i'm not sure which category this should go in. I have a question of 'give the perimeter of this triangle in the form of no brackets, and brackets (different questions). The algebraic expression is t+2. How would you work this out?
1 solutions

Answer 420741 by MathLover1(6634) About Me  on 2012-11-07 13:46:49 (Show Source):
You can put this solution on YOUR website!

the perimeter of this triangle is equal to the sum of all sides: P=a%2Bb%2Bc

since you are given the algebraic expression t%2B2, it is the length of each side; an equilateral triangle has all sides equal
so, a=t%2B2, b=t%2B2 and c=t%2B2 and P=%28t%2B2%29%2B%28t%2B2%29%2B%28t%2B2%29
P=t%2B2%2Bt%2B2%2Bt%2B2
P=3t%2B6


test/677170: What is the simplest form of the quotient?
Squareroot3x^12y^10 / squareroot5x^6y^3
1 solutions

Answer 420731 by MathLover1(6634) About Me  on 2012-11-07 13:14:01 (Show Source):


Probability-and-statistics/677114: Please help me solve this problem
Assume that the probability of a boy being born is the same as the probability of a girl being born. Find the probability that a family with three children will have two boys and one girl?

1 solutions

Answer 420702 by MathLover1(6634) About Me  on 2012-11-07 11:53:09 (Show Source):
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Solution:
The probability of a boy or a girl being born is 0.5. The probability of 2 boys and 1 girl being born is (0.5)^2(0.5)^1 =(0.5)^3 and the number of ways this can happen is C(2,1).
Therefore the probability of exactly 2 boys and 1 girl being born is C(2,1)(0.5)^3
.
C(2,1)(0.5)^3
since %280.5%29%5E3=%281%2F2%29%5E3=%281%2F2%5E3%29=1%2F8=0.125 or 12.5%


Graphs/677069: Graph the linear inequality 5x-4y < 40.

1 solutions

Answer 420671 by MathLover1(6634) About Me  on 2012-11-07 09:06:28 (Show Source):


Linear-equations/677071: 6n=8(3n+7)

1 solutions

Answer 420669 by MathLover1(6634) About Me  on 2012-11-07 08:55:40 (Show Source):


Linear-equations/677070: Write the equation of the line with slope –6 and y-intercept (0, 9)
1 solutions

Answer 420668 by MathLover1(6634) About Me  on 2012-11-07 08:49:51 (Show Source):
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Solved by pluggable solver: FIND a line by slope and one point

What we know about the line whose equation we are trying to find out:

  • it goes through point (0, 9)

  • it has a slope of -6



First, let's draw a diagram of the coordinate system with point (0, 9) plotted with a little blue dot:



Write this down: the formula for the equation, given point x%5B1%5D%2C+y%5B1%5D and intercept a, is

y=ax+%2B+%28y%5B1%5D-a%2Ax%5B1%5D%29 (see a paragraph below explaining why this formula is correct)

Given that a=-6, and system%28+x%5B1%5D+=+0%2C+y%5B1%5D+=+9+%29+, we have the equation of the line:

y=-6%2Ax+%2B+9

Explanation: Why did we use formula y=ax+%2B+%28y%5B1%5D+-+a%2Ax%5B1%5D%29 ? Explanation goes here. We are trying to find equation y=ax+b. The value of slope (a) is already given to us. We need to find b. If a point (x%5B1%5D, y%5B1%5D) lies on the line, it means that it satisfies the equation of the line. So, our equation holds for (x%5B1%5D, y%5B1%5D): y%5B1%5D+=+a%2Ax%5B1%5D%2Bb Here, we know a, x%5B1%5D, and y%5B1%5D, and do not know b. It is easy to find out: b=y%5B1%5D-a%2Ax%5B1%5D. So, then, the equation of the line is: +y=ax%2B%28y%5B1%5D-a%2Ax%5B1%5D%29+.

Here's the graph:




Rational-functions/676889: Rationalize the denominator of:
4/square root of ab^2c^3
1 solutions

Answer 420621 by MathLover1(6634) About Me  on 2012-11-06 21:00:17 (Show Source):


Exponents-negative-and-fractional/676942: What is 9.9 x 10 ^-8?
^-8 means: negative 8 exponent
The teacher wants the answer in the form of a fraction?
1 solutions

Answer 420609 by MathLover1(6634) About Me  on 2012-11-06 20:43:08 (Show Source):
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+9.9+%2A10+%5E-8

= 9.9+%2A%281%2F10+%5E8%29

=9.9%2F10+%5E8....multiply both nominator and denominator by 10

=99%2F10+%5E9

=99%2F1000000000


Exponential-and-logarithmic-functions/676917: Rewrite the rational exponent. assume that the radicand of an even root is a positive quantity.
+6+sqrt%28z%5E7%29
Is it 6/7 or 7/6 I cant remember?
1 solutions

Answer 420606 by MathLover1(6634) About Me  on 2012-11-06 20:36:07 (Show Source):
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in this case it is 7%2F6
+root%286%2Cz%5E7%29

=+z%5E%287%2F6%29


Equations/676928: 9(x+1)=9x+1
1 solutions

Answer 420599 by MathLover1(6634) About Me  on 2012-11-06 20:26:15 (Show Source):
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9%28x%2B1%29=9x%2B1

cross%289x%29%2B9=cross%289x%29%2B1
9%3C%3E1.....since this is false, means we have no solution

if you look at this as system of equations 9%28x%2B1%29 and 9x%2B1
we have parallel lines, the two lines that are parallel will never intersect; so there are no solutions

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+9%28x%2B1%29%2C+9x%2B1%29+


Numeric_Fractions/676893: Hello Tutor. I know you might be REALLY busy right now, but can you help me solve this problem? I kinda forgot how to subtract with a mixed number..
4 4/15 - 3/4
1 solutions

Answer 420577 by MathLover1(6634) About Me  on 2012-11-06 19:40:53 (Show Source):
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4+%284%2F15%29+-+3%2F4.......first write a mixed number 4+%284%2F15%29 as a fraction
4+%284%2F15%29=4+%2B%284%2F15%29.......4 could be written as 4%2A15%2F15=60%2F15

4+%284%2F15%29=4+%2B%284%2F15%29=60%2F15%2B4%2F15=64%2F15

now, substitute it in 4+%284%2F15%29+-+3%2F4

64%2F15+-+3%2F4..now find LCD for 15 and 4: it is 15%2A4=60

%2864%2A4%29%2F%2815%2A4%29+-+%283%2A15%29%2F%284%2A15%29

=256%2F60+-+45%2F60

=211%2F60+

=3%2831%2F60%29+



Equations/676874: If the problem it 9k=10-k;-1 would -1 represent the k?
1 solutions

Answer 420566 by MathLover1(6634) About Me  on 2012-11-06 19:26:34 (Show Source):
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If the problem it 9k=10-k, and if -1 represent the k, than we have
9%28-1%29=10-%28-1%29
-9=10%2B1
-9%3C%3E11
If the problem it 9k=10-k, and if 1 represent the k, than we have
9%281%29=10-%281%29
9=10-1
9=9....so,1 represents the k


test/676871: -3^2 = ______
1 solutions

Answer 420558 by MathLover1(6634) About Me  on 2012-11-06 19:16:25 (Show Source):


Subset/676884: what are all the subsets of 3,5,7
1 solutions

Answer 420555 by MathLover1(6634) About Me  on 2012-11-06 19:13:45 (Show Source):
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all the subsets of {3,5,7} are:
{ }, {3}, {5}, {7}, {3,5}, {3,7}, {5,7}, {3,5,7}
so, there are 8 subsets of {3,5,7}


test/676886: -(-2)^3
1 solutions

Answer 420551 by MathLover1(6634) About Me  on 2012-11-06 19:10:01 (Show Source):


test/676873: -(2)^3=______
1 solutions

Answer 420542 by MathLover1(6634) About Me  on 2012-11-06 19:00:30 (Show Source):


Geometry_proofs/676738: Given: B is between A and C, AB=3x+2x, BC=35-x, AC=73
Prove: x=7
1 solutions

Answer 420509 by MathLover1(6634) About Me  on 2012-11-06 16:48:15 (Show Source):
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if B is between A and C,than
AC=AB%2BBC

if AB=3x%2B2x...for some reason, I believe you have AB=3x%2B2 here , BC=35-x, AC=73, than

73=%283x%2B2%29%2B%2835-x%29

73=3x%2B2%2B35-x
73-35-2=2x
36=2x
36%2F2=x
18=x

so, AB=3x%2B2=3%2A18%2B2=56 and BC=35-x=35-18=17
check
73=56%2B17
73=73


Geometry_proofs/676746: What is the conclusion for:
ALl residents of Raleigh do not like worms.
If you like to fish then you like worms
1 solutions

Answer 420502 by MathLover1(6634) About Me  on 2012-11-06 16:35:20 (Show Source):
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ALl residents of Raleigh do not like worms.
If you like to fish then you like worms.
the conclusion for:ALl residents of Raleigh do not like fish.


Geometry_proofs/676702: Use a paragraph proof to prove the corresponding angles postulate:
Given: line AB is parallel to line CD
Prove: Corresponding angles are congruent
EMAIL ME AT underseanemo@yahoo.com IF YOU NEED AN IMAGE.
1 solutions

Answer 420473 by MathLover1(6634) About Me  on 2012-11-06 15:31:01 (Show Source):
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Theorem 3.5 If two parallel lines are intersected by a transversal, then corresponding angles are congruent.

Given: line AB is parallel to line CD
Prove: Corresponding angles are congruent
Proof:


you have already learned vertical angles are congruent and corresponding angles are
congruent if they are formed by parallel lines
using this information we can go on to prove alternate interior angles are also congruent if they are formed by parallel lines

since the lines are parallel, than
< 1 and < 3 are congruent,
< 2 and < 3 are vertical angles
you have studied a theorem that states all vertical angles are congruent, so
that means < 1 congruent to < 3 because they are corresponding angles,
and < 2 congruent to < 3 because they are vertical angles,
that means < 1 must be congruent to < 3


test/676699: When you square each side of an EQUATION, is the resulting equation equivalent to the original?
1 solutions

Answer 420461 by MathLover1(6634) About Me  on 2012-11-06 14:38:35 (Show Source):
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If an equation is true and each side is squared, or multiplied, or divided by the
same nonzero number, the resulting equation is equivalent to the original.


Square-cubic-other-roots/676642: I need to solve for b in terms of x and a
x=a+b+sqrt(a^2+b^2)
x-a-b=sqrt(a^2+b^2)
sqrt(x-a-b)=a^2+b^2
I do not know what to do from here in order to isolate the b.
1 solutions

Answer 420445 by MathLover1(6634) About Me  on 2012-11-06 13:09:33 (Show Source):


Polynomials-and-rational-expressions/676607: Please help solve the equation
Find the restricted values for the given rational expression.
6x+7/4x-12
A) X=12 B) x=-7/6, x=3 C.) none D. x=3
1 solutions

Answer 420429 by MathLover1(6634) About Me  on 2012-11-06 11:38:57 (Show Source):
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%286x%2B7%29%2F%284x-12%29... the restricted values will be all values for what 4x-12 is equal to zero because 4x-12 is denominator and to divide by zero doesn't make sense
set 4x-12 equal to zero and find x
4x-12=0
4x=12
x=12%2F4
x=3.......all real numbers except x=3
so, answer is D. x=3


Polynomials-and-rational-expressions/676614: Simplify the rational expression. if the expression is already in simplest form , this as your answer.

3x-9/7x-21
A) 3/7 B)-3 C)-3/7 D.) 3
1 solutions

Answer 420428 by MathLover1(6634) About Me  on 2012-11-06 11:30:54 (Show Source):
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%283x-9%29%2F%287x-21%29

3%28x-3%29%2F7%28x-3%29

3cross%28%28x-3%29%29%2F7cross%28%28x-3%29%29

3%2F7

so, answer is A) 3%2F7


Travel_Word_Problems/676605: How long would it take to travel 135 miles at a speed of 60 mph
1 solutions

Answer 420427 by MathLover1(6634) About Me  on 2012-11-06 11:28:17 (Show Source):


Probability-and-statistics/676563: Expand (3a – b)6
1 solutions

Answer 420415 by MathLover1(6634) About Me  on 2012-11-06 09:53:24 (Show Source):


test/676499: Domain and range
1 solutions

Answer 420394 by MathLover1(6634) About Me  on 2012-11-06 09:06:18 (Show Source):
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The domain is all the values that x is allowed to take on.
The range is the set of all possible output values (usually y), which result from using the function formula.
example:
the domain and range of the following relation:
(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)
I'll just list the x-values for the domain and the y-values for the range:
domain: –3, –2, –1, 0, 1, 2
range: 5
Is the relation a function?

Yes, this is an example of a "boring" function:
every x-value (each is different) goes to the exact same y-value, but even so
this relation is a function that represents the horizontal line y+=+5


Miscellaneous_Word_Problems/676488: Johns car gets 26 miles to the gallon. It costs $1.66 per gallon. How much does it cost if he drives 125 miles?
1 solutions

Answer 420392 by MathLover1(6634) About Me  on 2012-11-06 08:54:19 (Show Source):
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Johns car gets 26mil , 1gallon
if he drives 125mil, he will need 125%2F26=4.81 gallons
if one gallon costs $1.66 per gallon, and if he drives 125mil, it
cost $1.66%2A4.81=7.99


Travel_Word_Problems/676545: A boy runs one k.m. in 12 min. How long will he take to runs 400 m?
1 solutions

Answer 420391 by MathLover1(6634) About Me  on 2012-11-06 08:47:34 (Show Source):
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A boy runs v=1km%2F12min=1000m%2F12min
How long will he take to runs d=400m

d=v%2At

t=d%2Fv

t=400m%2F%281000m%2F12min%29

t=%28400m%2A12min%29%2F1000m


t=%282%2A12min%29%2F5

t=24min%2F5

t=4.8min




Expressions-with-variables/676547: in algebraic expression what is three fourths of the square of a number?


1 solutions

Answer 420388 by MathLover1(6634) About Me  on 2012-11-06 08:35:54 (Show Source):
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let x be a number, than
three fourths (3%2F4) of the square of a number is %283%2F4%29x%5E2