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.5^20

.5X.5X.5X.5X.5X.5X.5X.5X.5X.5X.5X.5X.5X.5X.5X.5X.5X.5X.5X.5X 

9.53674316e-7

Yes Max I used Google too  but it did not make full sense.  

Maybe your interpretation is correct or maybe not :))

In other words, not many.

one hour is 3600 seconds . and 7200 seconds is two hours : 7200/3600 =2 

then 1 milliseconds is : 1 milliseconds /3600=  0.001/3600 = 0.000000277 hours

because 1 milliseconds=0.001 seconds

the numbers are being multiplied by three so it would be 324 times 3 which is 972 

I don't know any methods other than quad. eq. and sq. roots.

Solve using square roots

2x² +6 = 14

2x²=8

x²=4

x = \(\pm2\)

(x-1)² +3 = 12

(x-1)² = 9

x-1 = \(\pm3\)

either x = 4 or x= -2

Solve using any method

y = x²-3x+4

y = x+9

x² - 3x + 4 = x + 9

x²-4x-5 = 0

(x-5)(x+1) = 0

either x = 5 or x = -1

y = 2x²-4x+7

y=9

2x²-4x+7 = 9

2x²-4x-2 = 0

x²-2x-1 = 0

\(x = {-(-2) \pm \sqrt{(-2)^2-4(1)(-1)} \over 2(1)}\)= \(1\pm\sqrt2\)

either x = 1+√2 or x=1-√2

y=x²

y=1

x²=1

x=\(\pm1\)

either x=1 or x = -1

\(y = x^2-1\)

\(y=\frac{1}{2x}-3\)

\(x^2-1=\frac{1}{2x}-3\)

\(x^3-x=\frac{1}{2}-3x\)

\(x^3+2x-\frac{1}{2}=0\)

x=  0.24283973258548086 or x=  -0.12141986629274043 + 1.4297651386824481i or

x=  -0.12141986629274043 - 1.4297651386824481i

radius = 8 in.

diameter = 16 in.

circumference = 16π in.

area = 64π sq.in.

You cannot do this question.

How can (36+45)/63 be a whole number?

(I don't know Thai but I used Google Translate)

(Did I get the correct idea?) XD

I would prefer simplification of the parentheses.

3(x-4) = -18

3x - 12 = -18

3x = -6

x = -2

B is the correct answer

We have 2 points : (0 , -4) and (1, 0)

m = (0 - -4) / (1 - 0) = 4/1 = 4

Positive slope.

y = mx + b

y = 4x + b

b, which is the y-intercept, is -4

so y = 4x + -4 = 4x-4

(a)       3x - 2y = 14  ------(1)

            -2x +2y = -10 ------ (2)

(1) + (2)

x = 4 ------(3)

Subst. (3) into (1)

3(4) - 2y = 14

3(4) - 14 = 2y

-2 = 2y

y = -1

Therefore x=4 and y= -1.

And I believe that is what your teacher will advise you to do.(Method of Elimination)

(b)    y = 5x+3 ------(1)

       -2x - 4y = 10 ------- (2)

Let's make (2) less complicated.

2x + 4y = -10

x + 2y = -5 ------ (3)

Looks better.

Your teacher may want you to do Method of Substitution......

so

Subst. (1) into (3),

x + 2(5x+3) = -5

x+10x+6 = -5

11x = -11

x = -1 ------ (4)

Subst (4) into (1)

y = 5(-1) + 3 = -5 +3 = -2

Therefore x=-1 and y=-2

y = 17 - x

when x = -6

y = 17 - (-6) = 17 +6 = 23

\(\frac{positive}{negative}=negative\)

To do this question, differentiate f(x) first.

\(f(x) = 6x^2+x\)

\(\frac{d}{dx}f(x) = f'(x) = 12x + 1\)

\(f'(a) = 12a +1\)

When a = 1,

\(f'(1) = 12(1) + 1 = 13\)

\(sin(-1) = -0.017452406\)

or do you mean \(sin^{-1}\)which is arcsin?

\(\frac{1}{2}\times4\times15\times8=2\times15\times8 = 30\times8 = 240\)

How could you overtake the second person before overtaking the third person?

111+113+115+117+119+131+133+135+137+......+199
+311+313+315+317+319+.....+399+

511+513+.....+599 +

711+713+715+717+.....+799+

911+.....+999

why i seperate it into 5 columns?

because the differences of the corresponding numbers in adjacent columns are all 200

there are 25 numbers in each column

so the sum equals (Let x be (111+113+......+199) because i am too lazy)

x+ (25*200+ x) + (25*200*2 + x) + (25*200*3 + x) + (25*200*4 + x)

if we can find out what the actual value of x is, the problem would be much easier

x = (110+ 111 + 112 + 113 + ...... + 199) - (110+112+114+116+......+198) - (120 + 122 + .... + 128) - (140 + 142 + 144 + ... +148) - (160 + 162 + ... +168) - (180 + 182 + ... + 188) 

= (110 + 199) * 90/2 - (110 + 198)* 45/2 - (120 + 128) *5/2 - (140 + 148) *5/2 - (160 + 168) *5/2 - (180+188)*5/2

= 13905 - 6390 - 620 - 720 - 820 - 920

= 4735

There we go!! We found the actual value of x

Next step we calculate x+ (25*200+ x) + (25*200*2 + x) + (25*200*3 + x) + (25*200*4 + x)

= 4735 + 5000 + 4735 + 10000 + 4735 + 15000 + 4735 + 20000 + 4735

= 73675

So the sum of all 3-digit numbers whose digits are all odd is 73675

P.S. I don't know and I don't understand any C or P. So I used my own method to do the problem

constant term = 0

because no 'constant term' exists

Rounding up 152.498395 : 152.50

Rounding down 152.498395 : 152.49

Rounding 152.498395 : 152.50

1/5+1/5

= (1+1)/5

=2/5

It could be anything.  You have to know what the scores are to calculate the standard deviation.