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I like the answer the professor gave jboy.

It just b**w's up!

Basically what we need to figure out is what the common factors are between 52 and 65.

How I know we have to do this is because the two schools have to have the same number of people in their rows, but their rows have to be sepparate (in other words, you can't add the total members together then organize them into rows)

So, let's use the "factor tree" to find the factors of these numbers:

Aha! We have found a common factor (a factor both of these numbers have) of 13!

So, the players should be aranged in rows of 13 to have even numbers of players in a row.

Here are the three different types of fractions:

We are looking for an improper fraction, so our numerator (top number on the fraction) will be larger or equal to the deminator (number on the bottom of the fraction)

5 is the same thing as 5/1.

I believe you can finish it from here.

Here's the data we have:

----

Atlanta Braves: 9

Chicago Cubs: 9

Colorado Rockies: 1

L.A. Dodgers: 1

New York Mets: 10

Philadelphia Phillies: 3

Pittsburg Pirates: 6

Boston Red Sox: 5

Texas Rangers: 1

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We need to figure out what fraction of the people liked either the Philadelphia Phillies or the Pittsburg Pirates team best.

3 liked the Philadelphia Phillies, and 6 people liked the Pittsburg Pirates

3+6 = 9 people's favorites were one of these two teams

There were a total of 45 classmates. Let's write these two numbers as a fraction

$${\frac{{\mathtt{9}}}{{\mathtt{45}}}}$$

Divide the top and bottom by 9 to reduce tis fraction

$${\frac{{\mathtt{1}}}{{\mathtt{5}}}}$$

There you go, 1/5 people liked one of these two teams.

Ornstein is correct, ABC is the answer.

Right now we have:

A =1/3

B = 3/4

C =  5/6 

To figure this out let's make all of the measurements have a common deminator (same number of the bottom of the fraction)

A =1/3*4/4

A = 4/12

------

B=3/4*3/3

B = 9/12

-----

C=5/6*2/2

C = 10/12

Now we can easily compare these and see that A is the smallest, B is the next biggest, and C is the biggest!

Ok, I see what I did wrong.

I assumed pi = 3.14, but really pi just keeps going forever with decimal digits.

Because everything is multiplied together, then rounded, my answer was one off.

Thanks Melody.

Your calculator will not be less accurate than your graphing program. You need to let us know what g (x) is if someone is to figure out what is happening.

First we should simplify f(x)

f(x)=2+3+x=5+x    Now we want to get rid of the function notation so that the algebra is as friendly as possible

y=5+x

To find an inverse we replace each x with y, replace each y with x, and solve for you as follows

x=5+y

x-5=y

And there is your inverse function!

The inverse function property is likely the one that says that if two functions f and g are inverses of one another then f(g(x))=g(f(x))=x  Lets test it!

f(g(x))=f(x+7)=(x+7)-7=x   It checks out so these functions are indeed inverses of one another.

In kinematics there is a formula to describe this

d=v_i+(1/2)at^2    where distance is in meters, v_i is initial velocity, a is acceleration, and t is time in seconds.

for your problem we are going to focus on the vertical direction and first answer how long it takes the player to fall 8 meters. 

8=0+(1/2) (9.8)t^2     V_i is p because the ostrich is not falling the moment it leaves the platform, and A is 9.8 because it is a gravitiational constant.

16=9.8t^2

t=sqrt(16/9.8)=1.28 seconds    This is the time the ostrich and player are in freefall before hitting the ground.

Assuming you are not programming air resistance and drag into your game the ostrich moving at 10m/s will travel 10 m/s  *  1.28 s =12.8 Meters horizonally.

As a side note, the ostrich will likely have broken legs after such a fall!

When I see the term "rational function" I think of something like this .... r(x) = f(x) / g(x)

Do you mean this???..........

r(x) = (x^2 -16) / x^2

If so, the x intercepts that jboy314 gave are correct.......there are no y intercepts because the function does not exist when x = 0......here's the graph

I'm taking that you mean "arc length"

The arc length (S) is given by.....

S = rθ     where r is the radius and "theta" is in radians

So 60 ° = pi/3 rads   and we have

S = 32(pi/3) = about 33.51 inches

And 135 °  = (3/4)pi rads

So we have

S = 32(3/4)pi = about 75.4 inches

And for 5/4pi rads, we have

S = 32(5/4)pi = about 125.7 inches

Sqrt(-27)sqrt(-17)=isqrt(3*9)i(sqrt17)=3i^2sqrt(3)sqrt(17)=-3sqrt(51)

have you tried 15 17 and 19?

Let's do "b" first.....since this is an octagon. the measure of <AOB = 360/8 = 45

And m<AOX is 1/2 of that = 22.5

And that's a  and b

c) Note that the measure of <OAX = 90- 22.5 = 67.5

And we can find OX by the Law of Sines

OX/sin67.5 = OA/sin90 ......  (sin 90 = 1)

OX/sin67.5 = 9

OX = 9sin67.5 = about 8.3m

d) We can find AB with the Law of Cosines

AB^2 = OA^2 + OB^2 - 2(OA)(OB)cos45

AB^2 = 9^2 + 9^2 - 2(9)(9)cos45

AB^2 = 162 - 162cos45 = 47.448701447706    take the square root of both sides

AB =  about 6.9m

e) The perimeter = 8(6.9)= about 55.2 m

f) Area...we have 8 congruent triangles....the area of each is given by (1/2)(9^2)sin45 = 28.6378246380735m^2

So.... 8*28.6378246380735 = about 229m^2

Hope I haven't made any serious errors here.....!!!

Haha thats Okay! :) It is Pronounced Sort of The Same! These Questions Are Not Mine.

oh thats why hes spelling it like that!but btw i have no problem spelling it i can simply say "Natasza" thats easy!and natasza r these questions by u!? i never saw u posting them!

I am Polish, So It Is Spellt Natasza! :) But American Spell it Natasha. Poor CPhill had Typoes with it! lol My Email Was Spellt Natasha so...Thats Why He Spell It Like That

Can i ask u CPhill whos Natasha!becoz ive just heard one name like this"Natasza"! so whos "Natasha "now!

thank you so much.

The radio would be located at (-5, -3) in the Cartesian Plane and would have a range of 13 units.

Basically, the situation is modeled by a circle with a center at (-5, -3) and a radius of 13.

Natasha....this is just like this one: