Kyle challenges you to a game. Each player rolls a standard number cube twice. If the sum of the results is divisible by 3, you win. If it is not, Kyle wins. What is your probability of winning? Is this a fair game?

Composite functions are multiple functions combined to form another function.

The value of the composite function (p - q)(2) is 5

To find (p - q)(2), we make use of the following composite function formula:

[tex](p - q)(x) = p(x) - q(x)[/tex]

Substitute 2 for x in the above formula

[tex](p - q)(2) = p(2) - q(2)[/tex]

From the table entries, we have:

[tex]p(2) =3[/tex]

[tex]q(2) = -2[/tex]

So, the equation becomes

[tex](p - q)(2) = 3 -- 2[/tex]

Rewrite the above equation as:

[tex](p - q)(2) = 3 + 2[/tex]

Take the sum of 3 and 2

[tex](p - q)(2) = 5[/tex]

Hence, the value of (p - q)(2) is 5

Read more about composite functions at:

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Answer:

  no

Step-by-step explanation:

The circumference of a table is ...

  C = πd = π(180 cm) ≈ 565.5 cm

At 70 cm/guest, a table will accommodate ...

  565.5 cm/(70 cm/guest) = 8.08 guests

At 8 guests per table, the available 18 tables will accommodate ...

  (18 tables)(8 guests/table) = 144 guests

There is not enough space at 18 tables for 145 guests.

Answer:

No, it's not.

Step-by-step explanation:

First, find the circumference of the table:

C = 2πr

= 2 × 22/7 × 180/2

NOTE: Diameter/2 is equal to the radius because half of Diameter is a radius.

= 44/7 × 90

= 3,969/7

= 565.71 approximately 566cm²

Next, find how many guests can occupy a table:

566/70 = 8.08 approximately 8 guests.

Now, how many guests will be in 18 tables?

18 × 8 = 144 guests, but we need 145 guests, so it is not enough.

Answer:

1.) -11x        2.)-2x

Answer:

You will need about 13 tables.

Step-by-step explanation:

I divided the number of guests by 12 and got 12.5 however you can't have half of a table so I rounded up and got 13.

Answer:

1/6

Step-by-step explanation:

There are six factors of 12: 1, 2, 3, 4, 6, and 12.

So the probability that the chosen factor is 4 is 1/6.

Answer: The quick way is to square the half of it.

Step-by-step explanation: You divide your main number by 2 and figure out that half. If it is still too big, divide by 2 again. If you need to keep repeating that is fine. Thank you multiply your answer by however many times you divided by 2.

Answer:

Step-by-step explanation: Make a perfect square list

This is one that goes to 15

[tex]\sqrt{1} \sqrt{4} \sqrt{9} \sqrt{16} \sqrt{25} \sqrt{36} \sqrt{49} \sqrt{64} \sqrt{81} \sqrt{100} \sqrt{121} \sqrt{144} \sqrt{169} \sqrt{196} \sqrt{225}[/tex]

1      2  3    4    5    6     7    8    9     10    11     12    13     14    15

The numbers on top are the square root and the numbers under are the answer or squared numbers. There is also a way to solve them if the number is between a number in the list like 18 but i don't feel like explaining that this is just the basic squares.

Answer:

422 cm²

Step-by-step explanation:

Surface area of the composite figure = (surface area of the upper cuboid + surface area of lower cuboid) - 2(base area of the lower cuboid)

Surface area of composite figure = [tex] (2(lw + lh + hw)) + (2(lw + lh + hw)) - 2(l*w) [/tex]

Upper cuboid has the following dimensions:

[tex] l = 4, w = 3, h = 8 [/tex]

Lower cuboid has the following dimensions:

[tex] l = 10, w = 7, h = 5 [/tex]

Plug these values into the formula

Surface area of composite figure

[tex] = (2(4*3 + 4*8 + 8*3)) + (2(10*7 + 10*5 + 5*7)) - 2(4*3) [/tex]

[tex] = (2(12 + 32 + 24)) + (2(70 + 50 + 35)) - 2(12) [/tex]

[tex] = (136 + 310) - 24 [/tex]

[tex] = 446 - 24 = 422 [/tex]

Surface area of composite figure = 422 cm²

Answer:

712,402,207

Step-by-step explanation:

;)

Answer: 711,142,207

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x - 8 = 16 -3x

8x - 8 = 16

8x = 24

x = 3

AC= 5(3) - 8 = 15 - 8 = 7

CD= 16 - 3(3) = 16 -9 = 7

7 + 7 = 14 = AD

The value of x and AD such that C is the midpoint of AD is 3 and 14 respectively.

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given the line segment AD with mid-point C

So,

AC = CD

5x - 8 = 16 - 3x

8x = 16 + 8

x = 3

So,

AD = 5x - 8 + 16- 3x

AD = 2x + 8

AD = 2(3) + 8 = 14

Hence "The value of x and AD such that C is the midpoint of AD is 3 and 14 respectively".

For more about line segment,

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#SPJ2

Answer:

  D. f(1) = 4, f(n) = –1/2f(n – 1) for n > 1

Step-by-step explanation:

We assume your sequence is supposed to be ...

  4, -2, 1, -1/2, 1/4, ...

This has no common difference, but it has a common ratio of -1/2. That is, the first term is 4, and each successive term is -1/2 times the previous one. The function is described by the recursive formula ...

  f(1) = 4;

  f(n) = -1/2·f(n-1)

f(3) = 13

f(x) = 2x + 7

replace x with 3

f(3) = 2×3 + 7

= 6 + 7

= 13

Answer:

you would add your points and where it is located

Step-by-step explanation:

Answer:

[tex]\boxed{ x = \sqrt{8.5} }[/tex]

Step-by-step explanation:

Hey there!

Irrational numbers are numbers that cannot be expressed as fractions.

[tex]\sqrt{8.5}[/tex]

=2.915475947422650235437076438772791538260699167442985977225003372433905030998356313832620163226517699278394811037677455675906936808085403142951613039412223590832527179885119634084324188271634828210865

The shown decimal goes on for 200 digits.

And it cannot be put into fraction form, meaning it is irrational.

Hope this help :)

Literally, irrational numbers are numbers that cannot be expressed as simple fractions. Some irrational numbers between 7 and 10 are 7.4833,7.9372,8.3666,8.4852,9.4868.

Given that

[tex]Min = 7[/tex]

[tex]Max = 10[/tex]

There are several ways to generate the irrational numbers between the given range.

One of the ways is as follows:

First, we list the pairs of relatively prime integers between the given range.

They are:

[tex]x = \{(7,8),(7,9),(7,10),(8,9),(9,10)\}[/tex]

Calculate the product

[tex]x = \{56,63,70,72,90\}[/tex]

Take the positive square root of the numbers to generate some irrational integers

[tex]x = \{\sqrt{56},\sqrt{63},\sqrt{70},\sqrt{72},\sqrt{90}\}[/tex]

[tex]x = \{7.4833...,7.9372....,8.3666...,8.4852....,9.4868....\}[/tex]

Read more about irrational numbers at:

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Answer:

15

Step-by-step explanation:

Use the pythagorean theorem.

A² + B² = C²

In this case, A = 8, B is unknown, and C = 17. B is the side that we want to calculate.

8² + B² = 17²

64 + B² = 289

B² = 225

B = √225 = 15

Answer:

Bacterial population at the time of 10 hours = 1040000

Step-by-step explanation:

Let the function that defines the bacterial population after 'x' hours is,

p(x) = a(b)ˣ

Where a = Initial population

And 'x' = Duration or time

Since bacterial population is getting doubled every hour,

2a = a(b)¹

b = 2

Therefore, function will be,

p(x) = a(2)ˣ

From the graph attached,

Point (5, 32500) lies on the graph of the function.

32500 = a(2)⁵

a = [tex]\frac{32500}{32}=1015.625[/tex]

Therefore, the function will be,

p(x) = 1015.625(2)ˣ

For x = 10 hours,

p(10) = 1015.625(2)¹⁰

        = 1040000 bacteria

Answer:

Sorry but all I know is that part a is 6 pounds will cost $18

Step-by-step explanation:

Answer:

D. is the answer

The equation that represents a circle with a center at (–3, –5) and a radius of 6 units is given by:

[tex](x + 3)^2 + (y + 5)^2 = 36[/tex]

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In this problem, we have that:

Hence:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

[tex](x + 3)^2 + (y + 5)^2 = 36[/tex]

More can be learned about the equation of a circle at https://brainly.com/question/24307696

s=d/t

Step-by-step explanation:

s=16.5/0.5

s=33

33 km/h since 30 min is half an hour

Answer:

Step-by-step explanation:

Distance ( d ) = 16.5 km

Time ( t ) = 30 minutes

( To convert minutes to hour , divide the minutes by 60)

Time ( t ) = [tex] \sf{ \frac{30}{60} }[/tex] = [tex] \sf{0.5}[/tex] hours

Now, let's find the speed

Speed = [tex] \sf{ \frac{distance \: travelled \: ( \: in \: km)}{time \: taken \: ( \: in \: hrs)} }[/tex]

plug the values

⇒[tex] \sf{ \frac{16.5}{0.5} }[/tex]

Calculate

⇒[tex] \sf{33 \: km/h}[/tex]

Hope I helped !

Best regards!!

Answer:

y = (x - 8)² - 47

Step-by-step explanation:

x² - 16x + 17 = 0

x² - 16x = -17

(-16) / 2 = -8

-8² = 64

x² - 16x + 64 = -17 + 64

(x - 8)² = 47

y = (x - 8)² - 47

Hello, the product of the roots is

[tex]\dfrac{3p}{2}[/tex]

So, if there are reciprocal roots, their product is 1, and then

[tex]\dfrac{3p}{2}=1<=> p=\dfrac{2}{3}[/tex]

Thank you

Answer:

A general way of explaining this is

Suppose that we have a given property (or a pattern if we are working with a series of numbers):

Now, if that property is true, for example, for the numbers 1, 2, 3... etc.  Then we can suppose that the property is also true for an unknown number N.

Now, if using the hypothesis that the property is true for N, we can prove that the property is also true for N + 1, then we actually proved that the property is true for all the set.

We actually can use any set, not only the natural numbers.

For example, we can use the set of the even numbers {2, 4, 6, 8....}, suppose that the property is true for a random number N, that is even, and then see if using that hypothesis we can prove that the property is also true for the next number in the set; N + 2.

Answer:

A

Step-by-step explanation:

x      y

-5   -22

0     -2

3     10

Answer:

341.25in²

Step-by-step explanation:

Width=x

Length=x+2

X+x+x+2+x+2=74

4x+4=74

4x=70

x=17.5

width=x=17.5

length=x+2=19.5

A=LW

A=17.5*19.5

A=341.25in²

Answer:

25x - 15

Step-by-step explanation:

Indian books = malay books - 15

=4x -15

Total books =

English books + chinese books + malay + indian

= 12x + 5x + 4x + 4x -15

= 25x - 15

Answer:

Step-by-step explanation:

Indian books = 4x - 15

Total books = 12x + 5x + 4x + 4x - 15  {add like terms}

                     = 25x - 15

Answer:

S = 6x² + 5x - 6

5544 sq. units

Step-by-step explanation:

Area of parallelogram is:

Given:

Then:

S = 6x² + 5x - 6

If x = 30, then plug it in the equation: