Antonia likes to play chess as a hobby. To get an advantage over her potential chess
opponents, she decides to run a simulation to see the most common opening moves in a
game of chess. She sets her chess computer program to play 100 first moves in the game
of chess. Antonia concludes that of the 20 possible opening moves in chess, most
players will move the pawn piece in front of the queen forward two spaces..
What are some potential problems with Antonia's simulation and her conclusion? You
need to include 2 potential problems.

Answer:

$5.20

Step-by-step explanation:

divide 5 dollars by 26 miles.

26 miles÷ $5 = $5.20

Answer:

see explanation

Step-by-step explanation:

the translation < 3, 2 >

means add 3 to the original x- coordinate and add 2 to the original y- coordinate, then

A (3, 0 ) → A' (3 + 3, 0 + 2 ) → A' (6, 2 )

B (4, - 2 ) → B' (4 + 3, - 2 + 2 ) → B' (7, 0 )

C (1, - 3 ) → C' (1 + 3, - 3 + 2 ) → C' (4, - 1 )

Answer:

2.5

Step-by-step explanation:

radius= 14 inches

the area of the circle.

[tex]area = \pi {r}^{2} [/tex]

[tex]a = \pi \times {14}^{2} [/tex]

[tex]a = 615.75216[/tex]

[tex]a = 615.75 \: {in}^{2} [/tex]

therefore, the area of the circle is 615.75 square inches.

The area is:

615.44 in²

Work/explanation:

The formula for the area of a circle is:

[tex]\sf{A=\pi r^2}}[/tex]

Where

A = area

π = 3.14

r = radius

Diagram:

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 14\ in}\end{picture}[/tex]

Plug in the data:

[tex]\sf{A=3.14\times14^2}\\\\\sf{A=3.14\times196}\\\\\sf{A=615.44\:in^2}[/tex]

Answer:

The Answers are: 1) -3pi/2 & 4) pi/2

Step-by-step explanation:

I got it right!

Answer:

Domain: -4 < x < 2

Range: -3 < y < 3

Answer:

65 degrees

Step-by-step explanation:

The degrees always has to add up to 180 degrees, so if you add 90 degrees and 25 degrees, you get 115 degrees. So since it has to be 180 degrees, you add 65 to 115, and you get 180 degrees.

Answer: 65 degrees . HOPE IT HELPS .

Answer:

Step-by-step explanation:

this is correct trust me im learning this and passing the concept h(x)=2+3

and f(x)=3x-2

Here is a tip use desmos it is a graphing calculater and will tell you the answer

Answer:

  5.  x = 17

  7.  x = 2

Step-by-step explanation:

The applicable relation is, "the product of the near distance to the circle and the far distance to the circle is the same for each secant." Distance is measured from the point where the secants intersect.

__

Using the rule, we have ...

  7(7+x) = 8(8+13)

  7+x = 24 . . . . . . . . . divide by 7

  x = 17 . . . . . . . . . . subtract 7

__

The same rule applies.

  7(7 +6x -1) = 9(9 +x +3)

  42x +42 = 9x +108 . . . . . . simplify

  33x = 66 . . . . . . . . . . . . . subtract 9x+42

  x = 2 . . . . . . . . . . . . . . divide by 33

Answer: B

All of the other options do not apply,

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$100\\ r=rate\to 6.5\%\to \frac{6.5}{100}\dotfill &0.065\\ t=years\dotfill &6 \end{cases} \\\\\\ A=100e^{0.065\cdot 6}\implies A=100e^{0.39}\implies A\approx 147.70[/tex]

The balance of your account after 6 years with continuous compounding would be approximately $147.56.

To calculate the balance of your account after 6 years with continuous compounding, you can use the formula:

[tex]\[ A = P \times e^{rt} \][/tex]

where:

[tex]\( A \) =[/tex] the balance after [tex]\( t \)[/tex] years

[tex]\( P \) =[/tex]the principal amount (initial investment) = $100

[tex]\( r \) =[/tex] the annual interest rate (in decimal form) = 6.5% = 0.065

[tex]\( t \) =[/tex] the number of years = 6

[tex]\( e \) =[/tex] Euler's number (approximately 2.71828)

Let's plug in the values and calculate the balance:

[tex]\[ A = 100 \times e^{0.065 \times 6} \]\[ A = 100 \times e^{0.39} \]\[ A = 100 \times 1.47560080488 \]\[ A = 147.560080488 \][/tex]

Rounding the answer to the nearest hundredth:

[tex]\[ A \approx $147.56 \][/tex]

So, the balance of your account after 6 years with continuous compounding would be approximately $147.56.

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Answer:

153 1/4 feet

Step-by-step explanation:

Remaining

Answer: give the proper question

Step-by-step explanation: for solutions

The cost to buy 10 notebooks and 16 desktop computers is $5550

Cost of notebook computers = $275

Cost of desktop computers = $175 each

The cost to buy 10 notebooks and 16 desktop computers will be:

= 275(10) + 175(16)

= 2750 + 2800

= $5550

The cost to buy n notebooks and d desktop computers will be:

= 275(n) + 175(d)

= 275n + 175d

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so

number = a e^(kt)

2272 = 1800 e^(5k)

1.26222... = e^5k

ln 1.26222... = 5k

k = .04657.. <----- your hourly growth parameter

the instantaneous rate of growth is appr 4.657% per hour.

Answer: 17a

Step-by-step explanation: additon

Hey there!

x + y

= -19/12 + (-7/5)

= -19/12 - 7/5

= -95/60 + -84/60

= -95/60 - 84/60

= -95 + (-84) / 60 - 0

= -95 - 84 / 60

= -179 / 60

Therefore, the answer should be:

-179 / 60

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

x+y= -2 59/60

Step-by-step explanation:

=-19/12-7/5 = -95-84

60

=-179

60

= -2/59/60

The line plot shown in the graph as 25 repeated 1 time, 25 1/2 repeated 2 times,  26 repeated 1 time, and 27 3/4 repeated 1 time so on.

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

Draw dots on each of the data element in the data set:

25 repeated 1 time

25 1/2 repeated 2 times

26 repeated 1 time

27 3/4 repeated 1 time

28 1/2 repeated two times

And so on.

Thus, the line plot shown in the graph as 25 repeated 1 time, 25 1/2 repeated 2 times,  26 repeated 1 time, and 27 3/4 repeated 1 time so on.

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Answer:

300g

Explanation:

heat added=specific heat * m * change in temp

705= .235* x*(35-25)

solve for x, thus the answer being 300g

Answer:

D)

Step-by-step explanation:

This is a subjective function and range and co-domain are equal.

Range = {3 , 5 , 7}

Answer:

triangle: 28cm² | parallelogram: 88cm² | composite: 116cm²

Step-by-step explanation:

Find area of triangle (1/2)(base)(height)

(1/2)(8)(7)

(4)(7)

28cm²

Find area of parallelogram (base)(height)

(8)(11)

88cm²

Add them together to get the composite area

28 + 88 = 116cm²

Answer:

12.

Step-by-step explanation:

36 = 3 * 12

48 = 4 * 12,

Answer:

Continue to make the minimum monthly payment on all of your debts while putting as much extra money as possible toward your smallest debt

Step-by-step explanation:

Once that debt is paid off, put your extra money toward your next-smallest debt, and so on. The bigger you build your debt snowball, the closer you'll get to debt freedom

Answer:

Graph A

Step-by-step explanation:

Becuase if we rewrite it in slope-intercept form then we get y=3/4x-13/2

To change words into equations, we can recognize keywords that translate into operations and/or numbers:

Let the two numbers be a and b.

We're given:

First, isolate a in the first equation and substitute it in the second equation to solve for b:

[tex]\dfrac{a}{b}=3\\\\a=3b[/tex]

[tex]a+b=8\\3b+b=8\\4b=8\\b=2[/tex]

Therefore, one of the numbers is 2. Substitute this into one of our equations to solve for a:

[tex]a+b=8\\a+2=8\\a=6[/tex]

Therefore, the other number is 6.

The two numbers are 2 and 6.

Answer:

5.66

Step-by-step explanation:

→ State Pythagoras' theorem

a² + b² = c²

→ Substitute in the values

4² + 4² = c²

→ Simplify

32 = c²

→ Square root both sides

√32 = c

Answer:

Step-by-step explanation:

4^2 + 4^2 = c^2

16 + 16 = c^2

32 = c^2

c= √32

c= 5.66

Using it's concept, it is found that the mean absolute deviation of 2.8 means that the heights differ from the mean by an average of 2.8 inches.

In this problem, the mean is given by:

M = (65 + 58 + 64 + 61 + 67)/5 = 63.

Hence the mean absolute deviation is given by:

MAD = (|65-63| + |58-63| + |64-63| + |61-63| + |67-63|)/5 = 14/5 = 2.8.

The mean absolute deviation of 2.8 means that the heights differ from the mean by an average of 2.8 inches.

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