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Log F = 1.164366
10^(1.164366) = F approx 14.6004"
Log F = 1.161532
10^(1.161532) = F approx Scientific calculator time

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--30
-/--\
3 --10
10 - 3 = 7
w^6 + 7w^3 -30 = 0
(w^3 + 10)(w^3 - 3) = 0

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1) 4/x + 2 - 1/x = 1/x
3/x + 2 = 1/x
- 1/x - 2 = -1/x - 2
----------------------------
2/x = - 2
times x and divide by - 2 on both side
- 1 = x
2) 15/x - 4 = 6/x + 3
- 6/x + 4 = - 6/x + 4
----------------------------
9/x = 7
times x and divide by 7 on both side
9/7 = x
3)----168
-----/---\
----2----84
--------/--\
-------2---42
----------/--\
---------2---21
------------/ \
-----------3----7
2 * 2 * 2 * 3 * 7 = 168
2 * 2 * 3 = 12 ; 2 * 7 = 14
formula x(x-2) = 168
x^2 - 2x - 168 = 0
(x-14)(x+12) = 0
x = 14 and 12

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L = 2W + 3
P = 48
P = 2(W + L)
48 = 2(w + 2W + 3)
48 = 2(3W + 3)
48 = 2 * 3(W + 1)
48 = 6(W + 1)
8 = W + 1
7 = W

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x^2 + 2x - 224 = 0
224 = 2 * 2 * 2 * 2 * 2 * 7 = 16 * 14
(x + 16)(x - 14) = 0

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it's right. But next time to check if your answers are right just plug the x's into the original formula (6x^2+3x-18=0) and see whether it's actually equals.

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from where the truck start to the airport is 1 hour
when the truck drives half way the taxi start leaving from the airport at 50mph
ok the truck drives half way he has half an hour left to get to the airport. therefore the taxi driver only drives for 1/2 hour when the truck arrives at the airport.
50mph * 1/2 hour of driving = 25 mi away from the airport

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sqrt 3 = (3)^(1/2)
(3)^(1/2) * (3)^(1/2) + 2(3)^(1/2)
x^(2) * x^(2) = x^(2+2) = x^(4)
(3)^(2/2) + 2(3)^(1/2)
3 + 2(3)^(1/2) = 3 + 2(sqrt3)

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a=Ann's age
b= Bill's age
a= (7/10)b = (7b)/10
in four years means
a + 4 = (8/11)(b+4)
now we know what a is in terms of b, we just plug it into the formula above
(7b)/10 + 4 = (8b)/11 + 32/11
solve for b
(7b)/10 + 4 = (8b)/11 + 32/11
-(7b)/10 on both side
-32/11 on both side
_____________________________
12/11 = (3/110)b
times 110/3 on both side
_________________
40 = b
Bill's age is 40.

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x^2 + 5x + 4 = (x+1)(x+4)
x^2 - 9 = (x-3)(x+3)
{[(x+1)(x+4)]/(x+3)^2} divided by {(x+1)/[(x-3)(x+3)]}
1/4 divided by 1/8 = 1/4 multiply by 8/1
{[(x+1)(x+4)]/(x+3)^2} multiply by {[(x-3)(x+3)]/(x+1)}
[(x+1)(x+4)(x-3)(x+3)]/[(x+3)(x+3)(x+1)]
now it's just simply cross out the same one from top and bottom.
answer: [(x+4)(x-3)]/(x+3)

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A = [(a^2)/4]sqrt(3)
153 = [(a^2)/4]sqrt(3)
153/sqrt(3) = (a^2)/4
4[153/sqrt(3)] = a^2
sqrt{4[153/sqrt(3)]}=a
Perimeter is just three sides adding together; and since all the sides are the same we can take one side times 3
3sqrt{4[153/sqrt(3)]} = P = 56.392 cm

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i'm assuming that this is what you meant to type
(a^2 + 2a - 35)/(12x) divided by (ax - 3x)/(a^2 + 4a - 21)

a^2 + 2a - 35 = (a + 7)(a - 5)
ax - 3x = x(a - 3)
a^2 + 4a - 21 = (a + 7)(a - 3)
when you have a fraction and you try to divide it to another fraction you actually multiplying its reciprical (ie 1/2 divide by 1/4 = 1/2 multiply by 4/1)
disregard the dots.
[(a+7)(a-5)]....[(a+7)(a-3)]....(a+7)^2 (a-5)
------------ x ------------ = -------------
(12x).....................x(a-3)................12x^2

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starting out with 2 apples
every year the amount of apples increase by 2%
how many apples are there in 6000 years
2+1[2(.02)]=2.04
2+2[2(.02)]=2.08
and so on to 6000 years
2+6000[2(.02)]=242
the beginning 2 is your starting out amount.
6000 is your years, and 2(.02) is the amount increase per year.
another way of saying this is that in 6000 years the % increase is (2% * 6000) = 12000% = 12000/100
2+2*12000/100= 2+240=242

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x^(1/2) = square root of x
2(90)^(1/2) + 3(40)^(1/2) - 4(10)^(1/2) =
to add or subtract them we need to make sure they have the same square root; its like having the same terms. (i.e. 2(x) + 3(x) = 5(x)...)
like finding the common denominator we look for what number they have in common.
90 = 9 * 10
40 = 4 * 10
10 = 10
9 = 3^2
4 = 2^2
2(3^2 * 10)^(1/2) + 3(2^2 *10)^(1/2) - 4(10)^(1/2) =
[2 * 3 * (10)^(1/2)] + [3 * 2 * (10)^(1/2)] - [4 * (10)^(1/2)] =
6(10)^(1/2) + 6(10)^(1/2) - 4(10)^(1/2) =
now it's just simply adding and subtracting the number before (10)^(1/2)
6+6-4= 12-4=8
the answer is 8(10)^(1/2) ; 8 times the square root of 10

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This is what we know:
$4485 = 92% of the original price (100% - 8%)
so find how much one percent is from what we know.
$4485/92 = $48.75
so now we know that 1% = $48.75
now to find the whole thing just take $48.75 * 100%= $4875
To check:
Before discount $4875
discount 8%
$4875*.08=$390
Total minus discount
$4875-$390=$4485
Formula let x be the total price before discount. 8%=.08
x - .08x = 4485
total$ - discount$ = remaining$
1x - .08x = 4485
combine like terms
.92x = 4485
solving for x we need to get it by itself. so divide by .92 on both side
.92x = 4485
x = 4485/.92
x = 4875