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Is   F (f(x) )  =   1 / (3x)     Or     1/3  * x  ??

Im not sure about this but 

Probability of picking a first red marble is 3/11 since there are 3 red marbles in a total of 11 marbles.

Probability of picking a second red (without replacement) is 2/10 (or 1/5) since there are 2 red marbles left in a total of 10 marbles left

Probability of the 2 events happening in succession is (3/11 * 2/10) * 100 = 5.5%

The answer is -1/2 since A and D are on opposite sides of the center of dilation

If y = 12 and x = 6, using an indirect variation, what is the value of y when x = 20?

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When two variables change in inverse proportion it is called an indirect variation. In an indirect variation, one variable is constant times inverse of the other. If one variable increases other will decrease, if one decreases other will also increase. This means that the variables change in the same ratio but inversely. 

The general equation for an inverse variation is y = k / x. Or k = xy which is constant. So the product of two variables is a constant for inverse variation. 

y = 12       x = 6

y = k / x

12 = 72 / 6

                Now we can calculate the value of y when x = 20

y = 72 / x          

y = 72 / 20

y = 3.6

Oh wait nevermind, I found the answer, its 5!

You're welcome. :))

=^._.^=

log((a^3b^4)/(6cd))

log(a^3b^4) - log(6cd)

3log(a) + 4log(b) - log(6) - log(c) - log(d)

Hopefully that's right. :))

=^._.^=

It is answered

Thanks so much!

9.869604401

10056-7294=2762 apples

What if we divided the 2 equations.

(ar^5+ar^6+ar^7+ar^8+ar^9+ar^10)/(a+ar+ar^2+ar^3+ar^4+ar^5) = r^5 = 12096/378 = 32

r = 2

Now that we have r, we can solve for a using the sum of geometric series. 

a(r^n-1)/(r-1) = sum

a(63)/(1) = 378

a = 6

=^._.^=

You're welcome. :))

=^._.^=

Thank you, CPhill !

Mary and Mark are saving to buy new bikes. They both start with 20 dollars. If Mary saves 15 dollars a week and Mark saves 20 dollars a week, how much will each have saved in week 6? Make a table and graph to solve.

Let Mary = a

Let Mark = b

Let w = number of weeks

We know that: a=20+15w

b=20+20w

In 6 weeks, just plug in w=6.

A = 20 + 15*6 = 110

B = 20 + 20*6 = 140

Mary: 110 dollars

Mark: 140 dollars

I'm not going to make a talk or graph but I can give the functions for each person. 

w= number of weeks they saved

Mary's total saved = 20+15w

Mark's total saved = 20+20w

You can use those equations to make points on your graph and substitute w with 6 and solve the equations.

Hope this helped.

11.2

Related posts:

You can't find an exctn number for these values because there are 2 variables and only one equation. You can't get a number but you can always osolate the variable and get k in terms of t and t in terms of k.

Simplify all the equations:

3 bottles of drink=30

1 bottle of drink=10

10+2 cheeseburger =20

2cheeseburger=10

1 cheeseburger=5

5+4 glasses of drink=9

4 glasses of drink=4

1 glass of drink=1

You can take it from here. 

The formula is 4/3(pi)r^3.

plug the radius in then you have 2334.67m.

Solution 1:

We can plug the point that's given into the equation y=mx+b. So we have

0=m(-14)+b

Then we have 3/7 as m because m represents the slope.

0=3/7(-14)+b

Then you need to solve the equation for b.

After you get the value for b then you put the slope and the value for b in the equation.

Solution 2:

We can instantly see that (-14, 0) is the y-intercept so we don''t need to solve for b we already know the value.

I'm going to assume tht the rectangles side legnths are 64 and 86.

The perimeter would be 64(2)+86(2).

Which equals 300.

The area of a rectangle is legnth x width. So we would have 64(86)=5504 as the area.

Hope this helped.

https://www.mathsisfun.com/puzzles/a-question-of-time-solution.html