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Cos (23pi/2) = cos ( pi/2) = 0        Sin(theta) = 0 at nowhere BETWEEN 0 and pi/2

     it DOES equal 0 AT 0        But your question stated theta>0

Bummer.   You're sure this is true?    Do the best YOU can....sometimes math comes easier to some than others, but if you keep at it, YOU will become better than you were !

(26-20)/4 = 1.5

Look at the secant graph here :

https://www.desmos.com/calculator/g2ulbffk6j

Note  that  the range  is   ( - inf, -1 ] U [ 1, inf )

So.....the secant's  range  always has an absolute value   ≥  1

Only the first answer  meets that criteria....so....you are correct  !!

TRUE.        Suppose you start at   0     travel   -2   then +4    

Distance travelled would be 6   but displacement would only be 2 from where you started.   In this case it is false.....But suppose you started at 0 and travelled   +4         your travel would be 4 and your displacement would be 4.

B. y=−11.41x2+ 154.42x −143.9

Look at the graph  of the second function here :

https://www.desmos.com/calculator/6pijgx4idl

The company starts with 25 employees.....so first statement is false

The second statement is true

The third statement is false......the  rate of increase is not constant

The last statement is also true......the exponential term in the denominator tends toward 0  as x increases.....so......the frastion becomes ≈  500/ 1   ≈  500

C. The graph shifts 5 units left and 3 units up.

Here are the graphs :

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

x^2  -  3x  - 10  = 0     factor

(x - 5)(x +2) =  0      

Set each factor to 0 and solve for x  and we have that  x  = 5  or  x = -2

x^2 - 8x = 0

x( x - 8)  =  0

Set each factor to 0 and solve for x  and we have that  x  = 0  or  x = 8

(x + 3)(2x - 1) = 0

This is already factored

x +  3  = 0                             2x   -  1  =    0

   - 3     -3                                    +  1     + 1

x   =  -3                                  2x          = 1          divide both sides by 2

                                                x      =  1/2

x^2  = 4       subtract 4 from both sides

x^2  - 4  =  0    factor

( x + 2)  ( x - 2)  = 0

Settting each factor to 0 and solving and we have that   x = -2  or x  = 2

x^2 = 10x - 25       subtract  10x from both sides, add 25 to both sides

x^2 - 10x + 25  = 0    factor

(x - 5) ( x - 5)  =  0

Settting each factor to 0 and solving and we have that   x = 5   ( one solution )

2x^2 - 8x - 8 = -8    add 8  to both sides

2x^2  -  8x  =  0      factor

2x ( x - 4)  =  0  

Set each factor to 0 and solve and   x  =  0   or  x = 4

1. No error, because I believe it's an adverbial phrase of time so it should need a comma because it's at the beginning of the sentence.

2. Are difficult

4x^2 + 9x -  6  =  0

s/t  + t/s  =      [ s^2 + t^2 ]  [  st ]

Using the quadratic function to solve

x  =   ( -9 ± √ [ (9^2  - 4* 4 *  - 6) ]  ) /  8

x   =  ( -9 ± √ [ 177]  )/ 8

Call  s  =     ( -9 + √ [ 177]  )/ 8        Call t  =   ( -9 - √ [ 177]  )/ 8

s^2  = [ 81 - 18√ 177 + 177] / 64      =   [258  - 18√177 ] / 64

t^2  =  [  81  + 18√177 + 177 ] / 64  =  [ 258+ 18√177] / 64

s^2 +  t^2   =     516 / 64  =   129/16

And  st  will   = c / a  =   -6/4  =  -3/2

So

[ s^2 + t^2 ]  /  st   =   129/16  *  -2 / 3   =   - 43 / 8

Multiply both sides by x^2 +8    to get

12x = 2x^2 + 16     re-arrange

0 = 2x^2 -12x + 16   Divide both sides by two

0=x^2 - 6x + 8        Factor

(x-4)(x-2) = 0

For this to be true  either   x-4 = 0    or   x-2 = 0     so x=   4  or 2

I think this is the treaty that the wealthy cherokee plantation owner signed without the permission of his tribe. He was assasinated later, and I think his wife and children were as well. This is just off of the top of my head, so these facts require additional verification

1.Hearing opera music

2.And one should also be thinking about whether 

1. No improvement or correction required

2. To dance in a studio setting and to dance in one's own living room

When a marble is selected four times in a row with replacement, X is the number of marbles that are not green.

When a marble is selected three times in a row with replacement, X is the number of green marbles.

The second one

2C1*0.6*0.4=2*0.6*0.4=0.48

Manuel....did you possibly mean   this  ??

√( 4^9)    =  

√ 4^8  * √4   =

4^4√4  =

256* 2  =  

512

Or    ???

⁴√9  =

⁴√ [ 3 * 3 ]  =

⁴ √  [  √3 *√3 * √3 * √3 ]  =

√3

A binomial distribution for a random variable X is one in which there are only two possible outcomes, success and failure, for a finite number of trials.

We define success as “rolling an even” and failure as “not rolling an even.” In this case, each roll of the die would be a trial.

P(success of getting an even)=3/6*=1/2

The variable X has a binomial distribution. P(success)=0.5; number of trials = 5

The variable X has a binomial distribution. P(success)=0.5; number of trials = 5 true

9=√9=√3*√3

Answer:

The principal, real, root of:

9–√494

=1.73205081

All roots:

1.732050811.73205081

1.73205081i1.73205081i

−1.73205081−1.73205081

−1.73205081i−1.73205081i

Here's my logic

Call the Height of the cylinder, H.....note that 2m of this is already filled in the first 5 hours

Call the volume filled  in the last 4 hrs   =   

pi * [ H - 2 ]  * 3^2  =         9pi [ H - 2 ]  m^3

So....in every hour....the volume filled must just be  1/4 of this   

(9/4)pi [ H - 2 ]  m^3

Now ....call the volume of the cone filled =   pi/3 * 4 * 3^2  =  12 pi   m^3

And note that  if the sand is 6m above the vertex of the cone after 5 hrs, then 2m of the cylinder are also filled in the first 5 hours....so....the volume of the partially filled cylinder  = 

pi * 2 * 3^2  =   18pi  m^3

So....the total volume filled after 5 hours just must be  12pi + 18 pi   =  30 pi m^3

So...in one hour the volume filled  is just 1/5 of this  = 6 pi m^3

But the volume filled  every hour is the same which implies that

(9/4)pi [ H - 2 ]  m^3  =  6 pi m ^3   so

(9/4) pi [ H - 2 ]  =  6 pi         divide the  "pi's "  out

(9/4) [ H - 2 ]  =  6 pi       multiply both sides by  4/9

H - 2   =  6(4/9)

H - 2  =  24/9    =  8/ 3

H  =  8/3  + 2

H  =  8/3 + 6/3

H  =  14/3    m  =    cylinder height

Here are the graphs .....

First one  : https://www.desmos.com/calculator/mw7uveztel

Second one  :  The top right graph is correct......the function is  constant at y  =  3   from -infinity  to x = 1

When x > 1,   y  =  x    ......  so  the points (2,2), (3,3) , (4,4)  etc. are on the graph

Third one :  https://www.desmos.com/calculator/ze9my3umlo

Last one : This one is probably a little strange to you......it's known as  "the ceiling function" graph

In other words, the   "ceiling"  of a value x is the least integer that is greater than or equal to x

So...ceiling  of  1.5  = 2

ceiling of -3.4  =  -3

ceiling of 2  = 2

These graphs  always have a "hole"  on the left end of each segment.....so we can eliminate the graphs at the bottom

To see which of the top  graphs are correct......let's pick an x value in the given interval, say, 1.5,  and put it into the function .....so......1.5 + 1  = 2.5.....and the  "ceiling" of this  = 3

So    (1.5, 3)  should be on the graph

Also  if we picked 1   then  1  + 1   =  2       and the ceiling of 2  = 2

So  (1, 2)  should also be on the graph

Looks like the graph on the top right is correct   !!!

Here's the graph  : https://www.desmos.com/calculator/ffxtehmg8g