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I'm assuming that you mean:  20^5/2

The "5" is the power; the "2" is the root  --  so, you want  sqrt( 20⁵ )  =  sqrt( 320 000 )

Is f(-2) greater than g(-2)

--  by graph, f(-2) = 2; by table, g(-2) = 1  --  Which is greater?

Do f(x) and g(x) intersect at exactly two points?

--  f(-5) = 3; g(-5) = 4

    f(-4) = 2; g(-4) = 1

    f(-3) = 1; g(-3) = 0

    f(-2) = 2; g(-2) = 1

    f(-1) = 3; g(-1) = 4

   For the same value of x, goes f(x) = g(x) for two points?

Is f(x) greater than g(x) for all values of x?

--  look at the list for the second question; if f(x) always greater than g(x) for the same value of x.

f(x) is an absolute value of x. It creates a v-shape and it there are straight rays coming from the vertex

Graph g(x) -- is there a v-shape?  are there straight rays coming from the vertex?

Each interior vertex angle of a regular hexagon is (n - 2)·180^o/n  =  (6 - 2)·180^o​/6  =  120^o.

I'll break up the area into three sections.

There is one major section, going 150' along one side in a circular arc to 150' along the adjacent side.

Since the interior angle is 120^o, the exterior angle will be 240^o.

The area of this section will be:  (240^o/360^o)·pi·radius²  =  (2/3)·pi·150²  =  15,000 pi

Then, on each end, around the corner of the barn, the goat can go in a circular arc with radius = 50'.

This angle will be 60^o, or one-sixth or a circle.

The area of each section will be (1/6)·pi·50²  =  416 2/3 pi

Total area:  15,000 pi + 416 2/3 pi + 416 2/3 pi  =  833 1/3 pi square feet.

As I said, i have given hints to people asking this question.

No offense, I'm just pretty tired and unwilling to dig up my PDF files, so navigate to the search bar and find this question.

Or.

The probability of reaching at least 2 correct numbers is \(\binom{7}{3}\)

Perhaps this is what you are looking for?

I apologize for the late reply as I was rather busy.

Can you give me a hint? Or anything? Thank you!

Simplify:  (1 + i) / (1 - i)

Multiply both the numerator and the denominator by the conjugate of the denominator.

The conjugate of  1 - i  is  1 + i.

              [ (1 + i) / (1 - i) ]  ·  [ (1 + i) / (1 + i) ]

--->        [ (1 + i) ·(1 + i) ]  /  [ (1 - i) · (1 + i) ]

Numerator:      (1 + i) ·(1 + i)  =  1 + 2i + i²  =  1 + 2i - 1  =  2i

Denominator:  (1 - i) · (1 + i)  =  1 - i²  =  1 - -1  =  2

--->     =  2i / 2  =  i

I have seen this AoPS question.

10 or so times. Search it with search bar.

1 - You make a 12 x 12 multiplication table like this:
(1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 12, 12, 12, 12, 12, 12, 14, 14, 15, 15, 16, 16, 16, 18, 18, 18, 18, 20, 20, 20, 20, 21, 21, 22, 22, 24, 24, 24, 24, 24, 24, 25, 27, 27, 28, 28, 30, 30, 30, 30, 32, 32, 33, 33, 35, 35, 36, 36, 36, 36, 36, 40, 40, 40, 40, 42, 42, 44, 44, 45, 45, 48, 48, 48, 48, 49, 50, 50, 54, 54, 55, 55, 56, 56, 60, 60, 60, 60, 63, 63, 64, 66, 66, 70, 70, 72, 72, 72, 72, 77, 77, 80, 80, 81, 84, 84, 88, 88, 90, 90, 96, 96, 99, 99, 100, 108, 108, 110, 110, 120, 120, 121, 132, 132, 144)

2 - Count the multiples of 6 like this:
(6, 6, 6, 6, 12, 12, 12, 12, 12, 12, 18, 18, 18, 18, 24, 24, 24, 24, 24, 24, 30, 30, 30, 30, 36, 36, 36, 36, 36, 42, 42, 48, 48, 48, 48, 54, 54, 60, 60, 60, 60, 66, 66, 72, 72, 72, 72, 84, 84, 90, 90, 96, 96, 108, 108, 120, 120, 132, 132, 144) >>Total = 60

3 - Probability = 60 / 144 = 5 / 12

Let  r  represent the rate at which Noah rides.

Then  1.6r  represents the rate at which Grady rides.

Time  =  2 hours

Distance  =  rate x time

Distance of Grady  =  Distance of Noah + 12 miles

       1.6r x 2            =            r x 2            + 12

                       3.2r  =  2r + 12

                       1.2r  =  12

                            r  =  10

Noah rides at the rate of 10 miles per hour.

8x² + 36x + 41  =  0

a  =  8         b  =  36         c  =  41

quadratic formula:  x  =  [ -b  +/-  sqrt( b² - 4·a·c ] / ( 2·a )

                               x  =  [ -36  +/-  sqrt( 36² - 4·8·41 ] / ( 2·8 )

                               x  =  [ -36  +/-  sqrt( - 16 ] / ( 16 )

                               x  =  -2.25 + 0.25i     or     -2.25 - 0.25i

With no phase shift, the equation is:  y  =  a·cos(b·x) + d

since this is to be a reflection of its parent function over the x-axis, a must be negative

and a is the amplitude:    a  =  -11

b reflects the period:  b  =  2·pi/period   --->   b  =  2·pi/(7·pi/12)  =  24/7

d represents the vertical  d  =  -9

equation:  y  =  -11·cos( (24/7)·x ) - 9

THANKS IF YOU CAN HELP!

i do not understand alan

If you have done part a) then part b) is asking you to see which if any of the three values of part a) is 100 g or more.

Nvm, i got it. But to those who need an answer, it's 5.

Find the largest value of y = 5 - 2x - x^2, for real numbers x.

This graph should help:

You have 54 bars in total, and 14 peanut butter bars, so the probability of choosing a peanut butter bar is 14/54 or just 7/27.

Use the same approach for part b).

urw, Melody!!! 

So the average speed is  6.5m/s  and the average velocity is 2.5m/s

I did it as follows:

This question is rather vague

The car travels a total   130 m in 20seconds     = 6.5 m/s   OVERALL

As far as it's DISPLACEMENT is concerned , it is   90 - 40 meters from the starting point = 50 meters   in 20 s = 2.5 m/s  NET

500 / 5  =  100  =  10²

500 / 4  =  125  =  5³ 

A customer places an order over the Internet source for a bouquet of flowers for Valentine's Day. when the bouquet arrives a day late and wilted, the angry customer calls the internet source to complain. how should the associate respond?

A. Apologize and offer to either refund the customer's money or send out another bouquet at no charge

B. Apologize and send out another bouquet at no charge

C. Tell the customer that nothing can be done about the bouquet because valentine's day is over.

D. Send the customer a coupon for a future purchase

The answer is

E.  Apologize, and refund the customer's money, and send out another bouquet at no charge  

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