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\(\frac{3}{4}-\frac{1}{16}\)

OK, you have these two fractions. Now we find the Least Common Denominator (LCD) which in this case is 16. To produce an equilivant faction with a denominator of 16, we need to change the numerator in proportion to the denominator. To produce 16 from 4, we need to multiply by 4 (4*4=16) so we multiply the top numeber as well.

\((\frac{3}{4}*\frac{4}{4})-\frac{1}{16}\)

\(\frac{12}{16}-\frac{1}{16}\)

Ah! Now we have something we can easily work with.

\(\boxed{\frac{11}{16}}\)

We make sure that this fraction can't be simplified any further without making sub-fractions and decimals in fractions. It can't; therefore, this must be the answer.

This is what I think

F=ma

So the force needed to lift the ball would be 7.5*9.8 kgm/s^2. (Newton's)

Work=F*d = 7.5*9.8*1 kgm^2/s^2  (Joules)

I'm not sure by what you mean by, "if i had to buy 4100 brochures for .40 how much would it cost."

Do you mean the individual costs, or the cost of buying 4100 brochures for .40?

Well, this is a type of geometric probability. 

Simplifying

x3 + -10x + 9 = 0

Reorder the terms:

9 + -10x + x3 = 0

Solving 9 + -10x + x3 = 0

Solving for variable 'x'. The solution to this equation could not be determined.

Well according the order of operations, multiplication or division (left to right), then addition or subtraction (left to right).

I am assuming you mean this:

\(3*5-1*10\)

We have the multiplication, you start with that.

\(15 - 10\)

Then we have a simple subtraction problem

\(\boxed{5}\)

Hope this helped!

5, 5x3=15, 1x10=10, 15-10=5

25 x $15 =$375 Your first option.

[$0.01 x 2^25 - 1]  =$335,544.31 Your second option!!.

boi

Yes, that is right. 

\(\frac{3}{4} (x)+1=\frac{3}{4}(x)-7 \)

\(\frac{3x}{4}+1=\frac{3x}{4}-7\)

\((\frac{3x}{4}-\frac{3x}{4})+1=(\frac{3x}{4}-\frac{3x}{4})-7\)

\(1=-7\)

figure it out bro

(1,4)

This an AoPS Homework Question. This can be done entirely by casework.

If done correctly, you should have 105+78+55+36+21+10+3=308

Thanks Chris, I always like it when these sorts of problems are uploaded.

There is usually at least one person, like Jonatho,n that takes an obvious interest in these puzzles.

Thanks Jonathon  

But for every person who displays interest there are bound to be a few more (like me) that think about it more quietly. :))

I am a teapot get it... t tea po t

Ten yards = 30 feet

30 feet x 12 in/ft = 360 inches

360 inches / (2 inches/sec) = 180 Seconds = 3 minutes     He MIGHT be 71 when he gets to the other side!

Simplify the following:
81^(3/2) - 45^(3/2)

45^(3/2) = 45^(2/2 + 1/2) = 45^(2/2)×sqrt(45):
81^(3/2) - 45^(2/2) sqrt(45)

2/2 = 1:
81^(3/2) - 45 sqrt(45)

sqrt(45) = sqrt(3^2×5) = 3 sqrt(5):
81^(3/2) - 45×3 sqrt(5)

45×3 = 135:
81^(3/2) - 135 sqrt(5)

81^(3/2) = 81^(2/2 + 1/2) = 81^(2/2)×sqrt(81):
81^(2/2) sqrt(81) - 135 sqrt(5)

2/2 = 1:
81 sqrt(81) - 135 sqrt(5)

sqrt(81) = sqrt(3^4) = 3^2:
81×3^2 - 135 sqrt(5)

3^2 = 9:
81×9 - 135 sqrt(5)

81×9 = 729:
729 - 135 sqrt(5)

Factor 27 out of 729 - 135 sqrt(5) giving 27 (27 - 5 sqrt(5)):
Answer: |27 (27 - 5 sqrt(5))

We will need more information (or the picture).

(1/2)·x  =  (3/7)

Divide both sides by 1/2:  (3/7) / (1/2)  =  (3/7) · (2/1)  =  6/7

i could just be a veariable like x or y or a

or

i could be an imaginary number equalling sqrt(-1)

so 9i = 9*sqrt(-1)

To find the x-coordinates of the points where  y = 5x -1  intersects  y  =  2x³ + x² + 1,

set the equations equal to each other:      5x - 1  =  2x³ + x² + 1,

and solve:                                                             0  =  2x³ + x² - 5x + 2.

If there are rational solutions to this equation, they come from the set:  { +2, -2, +1, -1, + 1/2, -1/2 }.

If x = 2:  2(2)³ + (2)² - 5(2) + 2  =  12   --->  2 is not a root.

If x = -2:  2(-2)³ + (-2)² - 5(-2) + 2  = 0   --->   -2 is a root  

If x = 1:  2(1)³ + (1)² - 5(1) + 2  = 0   --->   1 is a root  

If x = -1:  2(-1)³ + (-1)² - 5(-1) + 2  = 6   --->   -1 is a not a root  

If x = 1/2:  2(1/2)³ + (1/2)² - 5(1/2) + 2  = 0   --->   1/2 is a root

If x = -1/2:   2(-1/2)³ + (-1/2)² - 5(-1/2) + 2  = 4.5   --->   -1/2 is not a root

The x-coordinates of the points of intersection are:  -2, 1/2, and 1.

[If not all of these worked, then there still could have been irrational roots.]

n | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10
0.4 n - 0.2 | 0.2 | 0.6 | 1. | 1.4 | 1.8 | 2.2 | 2.6 | 3. | 3.4 | 3.8

Draw a number line

Start at 2 then count 4 units in the negative direction.  Where do you end up?

subtracting and adding algebra :)

i will help you and you are the first one that  i helped :)

so to help you in your algebra math skills:

your broblem is 7b-4=2b+16 

how you would solve that is

1.find the letter with the same sign that is to the right of the number and (-,+)signs that are to the left  7b 2b and -4 +16 like that :)

how to solve

2. Like integers If there is not a sign to the left of the nuber like this 7b 2b it is a positive so you would add 7b + 2b is (9b) yey found out the first one now lets move on to the second one :) amost thier :D

so you got -4 +16 if the signs are different you subtract and take the sign of the larger number like this:

-4 - +16 = (+12) so the answer is (9b)(+12) yey we are finished :) good luck with your math :)