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Correct   !!!

the answer is C 1.5

this is the question and odessy ware is saying it is wrong???

7.5  / 5     =     ????

(45/360)  * 2pi  *  10   =

(1/8) * 2pi * 10  =

(20/8) pi  =

( 5pi) / 2   =

(5/2) pi  =

2.5 pi     ⇒    correct  !!!!

We have 10 hours between  8PM  and 6AM  =   10 * 60  = 600 minutes

Sleep    8 -10

Awake  10 - 10:15

Sleep 10:15 - 12:15

Awake 12:15 - 12:30

Sleep 12:30 - 2:30

Awake 2:30 - 2:45

Sleep 2:45 - 4:45

Awake 4:45 - 5

Sleep  5 - 6

There are 4 periods of  2 hour sleep  and 1 period of 1 hour sleep  =  4*2(60) + 1(60)  =  480 + 60  = 540 minutes asleep

So      540/600   =  54/60   =  9/10   =   90%  of the time asleep

Second one ....top right

Note that arc QU  = arc RS  = 25°

arc TQ  =  arc TU + arc QU  =  44 + 25   =   69° 

To find arc QR, we need to do a little work

arc QS  = 180

arc RS  =  25

So   arc QR   =      arc QS - arc RS  =   180 - 25  =  155°

arc TS  =   arc QR  - arc UT  - arc  RS  =   180 -  44 - 25  =  180 - 69  = 111°

arc SQR  =    arc SQ + arc  arc QR   =  180 + 165  =   345°

arc RQT   = arc RU  + arc UT   =   180 + 44   =  224°

It has to start on 5 and then go to 0, or else not all of the numbers will go in the knight move pattern. 

We have 5034927618 and 5038167294, plus their opposites (the same number backwards). So only 4 numbers can be formed. 

Please correct me if I am wrong! 

Not as hard as it looks.....factor the denominator.....then.....split into two fractions......the stuff in red is what you need in the blanks

      3x + 2                   3x +  2                        3x                       2

___________  =   _____________  =   ___________   +  ____________

x^2 - 3x -  10         (x - 5) ( x +2)            (x + 2) (x - 5)        (x - 5) (x + 2)

5x -20                            5 ( x-4)                        5

____________   =   ____________   =      _______     (1)    

2x^2 - 5x - 12           (x - 4) (2x + 3)             2x  + 3

Note that since (x - 4)  is a factor in the numerator, we might guess that it is also a factor in the denominator.....knowing this....the denominator should be easy to factor

The hole occurs where   x - 4  =  0   ⇒   at   x  = 4

To  find the y coordinate , sub 4  back into (1)       ⇒        5                      5

                                                                                     ________   =    _____

                                                                                      2(4) + 3               11

So......the hole occurs at   (4, 5/11)

See the graph here : https://www.desmos.com/calculator/uf623od70z

It was E

First one....you are correct  !!!

So arc DEF  =   104 + 76  =  180°

Note that arc CF  = arc DE....so.....

 arc  CFD  = 104 + 180  =  284°

And arc DFE  =  arc DCF + arc FE   =180 +   76  =    256°

A seventh degree polynomial function has zeros of −6 , 0 (multiplicity of 3), 1 (multiplicity of 2), and 4.

The graph will cross straight through at   x = -6  and x  = 4

We have  an odd multiplicity > 1   at x  = 0......therefore.....the graph will "cross through while hugging" here  [ this will always be true with an odd multiplicity > 1 ]

We have an even multiplicity at x = 1......the graph will always be tangent with an even multiplicity

Here's the graph :   https://www.desmos.com/calculator/vpimkckn3k

It was true

Since Angle MRN  and Angle QRF are vertical angles, they are equal.....therefore arc MN  = arc QP

(10x - 45)  = ( 6x - 1)     add 45 to both sides, subtract 6x from both sides

4x  = 44      divide both sides by 4

x  = 11

Therefore....arc MN  =  10x - 45  =  10(11) - 45  =  110 - 45  =   65°

To find arc NP    subtract   arcs MN and QP from 360  =  360  - 2(65)  =  360 - 130  =  230°

This is the sum of the remaining arcs NP  and MQ......but since angles MRP and MRQ are equal, then arcs NP and MQ are also equal......So  arc NP  =  230/2   =  115°

Finally, arc NQP  =  360  - arc NP  =   360 - 115  =  245°

There are 4 ants in total and all the ants in a straight line i.e. 1st, 2nd, 3rd, 4th.

Condition 1 - (2 ants are in front of 2 other ants)

As all the ants in a straight line, so 1st ant and 2nd ant are in front of 3rd and 4th ants. This is condition 1 fulfilled.

Condition 2 - (2 ants are behind 2 ants)

3rd and 4th ants are behind the 1st and 2nd ants. This is condition 2 fulfilled.

Condition 3 - (2 ants are next to 2 ants)

1st and 2nd ants are next to the 3rd and 4th ants and also we can say that 3rd and 4th ants are next to 1st and 2nd ants.This is condition 3 fulfilled.

So, there are total 4 ants and all in a straight line.

https://web2.0calc.com/questions/a-function-f-has-a-horizontal-asymptote-of-y-4-a

This might help thx to CPhill

31.54 should be correct... 

thank you but the round-up wan't needed but still thank you

27 cm^3 * 6.74 g/cm^3 = 181.98 g

27 cm^3  x  6.74  g /cm^3 = 182 g   

8.3*3.8 = 31.54 Yes,,,,,    BUT are you learning about significant digits and rounding?

We can estimate it to be 10 + 10 + 12 + 9 + 9 which equals 50, so the answer is D.

You are very welcome!

:P

To find the estimation, you need to round the digits.

395 rounded is 400

450 rounded is 500

275 rounded is 300

3, 4, 5 are the answers.

You are very welcome!

:P

Last one

Note that the sum of arcs   YX, XW and WV  =   360  - arc  VY  =  360  - 90    = 270°

So  we have this

(10x + 9)  + ( 21x - 12) + ( 8x)  = 270        simplify

39x - 3  =  270      add 3 to both sides

39x  = 273        divide both sides by 39

x  =  7

arc WX  =  21x - 12   =  21(7)  - 12  =  148 - 12   =   136°

arc YW  =   hard to tell which  arc is being referred to, here  arc YVW  or arc YXW ???   

arc YX  = 10x + 9  =   10(7) + 9  =  70 + 9  = 79°  

arc VXW  =  360  - arc VW  =  360  - 8x  =  360 - 8(7)  =  360 - 56   =   204°