All Answers 358504 Answers

You have given the probability, RP...."odds"  are a little different

Odds  =  # Favorable Outcomes  / # Unfavorable Outcomes  =

4 :  2    =

2 :  1

This makes sense....we are twice as likely to land in a shaded area as a non-shaded one!!!

Since  the larger triangle is 16 times that of the smaler, its side is = √16  =  4 times as much

So.....let the side of the smaller  = x

And the side of the larger  is 4x

And we have

3x + 3(4x) = 45

15x = 45

x = 3

So  the sidee of the larger  is  4(3)  = 12

And its area  =   (1/2)(12^2) (√3 / 2)   =  144√3 / 4   =   36√3  in^2

Second one

This is a 30-60-90 right triangle

The  side across from the 30 degree angle  =  (1/2) * hypotenuse  = (1/2) * 6  =   3  =  y

Third one

In a 45-45-90 right triangle,  the hypotenuse is √2  times  either of the legs  =

5√2  =  r

Fourth one :

The side across from the 30 degree angle  =  3

x is across from the 90 degree angle in the second triangle    =  3√2

We only have y intercepts  at  (0, 5)  and (0, -5)

The center is (0,0)

The domain is all reals

The range  is    y ≤  -5     and   y  ≥  5

The third answer is correct

First one:

θ

__

2 pi

θ    r^2

__

 2

Again!!! it is the second one if I am not mistaken. 

x^2  - y^2  =  16   

This is a hyperbola that intersects the x axis in two places and has a center of (0,0)

This hyperbola has two axis of symmetry.....the x axis and the y axis

So.....the last answer is correct

Once again, it is the second one. :)

The answer is the second choice. 

This is the standard form of a circle, so it must be the second choice. 

My dear lord!!! That took you time. 

Here is another way:

4(x + 7)²   =   1

                               Divide both sides of the equation by  4 .

(x + 7)²   =   1/4

                               Take the ± square  root of both sides.

x + 7   =   ±√[ 1/4 ]

x + 7   =   ±1/2

                               Subtract  7  from both sides.

x   =   ±1/2 - 7

x  =  1/2 - 7            or          x  =  -1/2 - 7

x  =  1/2 - 14/2       or          x  =  -1/2 - 14/2

x  =  -13/2              or          x  =  -14/2

i can help you catch up if need be. i need something to do anyway

Here's a tool that will order these for you :

https://calculator.tutorvista.com/math/509/least-to-greatest-calculator.html

Here's the graph, NSS :

https://www.desmos.com/calculator/ohp3ma4phc

The thid one is correct

See if you can follow this, RP...it explains it pretty well....step-by-step...it isn't really hard....just a little time-consuming

http://www.purplemath.com/modules/boxwhisk.htm

Just underscores

The first answer

10)

We have  the common ratio  of  1/5

625 (1/5) ^{n - 1}      where n is the nth term

625 (1/5)^10-1

625 (1/5)⁹   =   1  /3125

14)  

First term  =   5(1)  - 4  =  1

Last term  =  5(18) - 4  =  86

Sum  =   [ 1 + 86 ]  (18/2)   =  87 * 9   =  783

14) 

Total  vertical distance    =

  20  [ 1 - (4/5)^(5) ]  / ( 1 - 4/5)  - 10    =  7154 / 125   =   57 + 29/125  ft

Thanks again and again

LOL!!!!...good job, RP   !!!

1  3  2  5  10  8  9   15   0  7  12   13  6  18

Let's order these

0  1   2   3          4  observations  from 0 - 4

5  6  7  8   9       5  observations from 5 - 9

10  12  13          3  observations  from  10 - 14

15   18               2  observations from  15 - 18

"b"  is the correct answer

60  25  86  56   45  48  90  75   30   67  90 36  80   15   32  65   61 

Let's  order these

                                0  from 0 - 9

15                            1  from 10 - 19

25                            1  from  20 - 29

30 32 36                  3  from 30 - 39

Note that we can stop here, RP......"a"  is the only one  with these values 0, 1, 1 , 3  ......

Do  yuo see how to do this  ???