Which function rule represents the data in the table below? Input (x) 1 2 3 4 5 Output (y) 9 15 21 27 33 • y = 4 + 5x • y = 3 + 6x • y = 5 + 4x • y = 6 + 3x

Answer:

Travis should pick to play the hat game.

Step-by-step explanation:

You would need to evaluate the probablity of winning in each option

Option 1 (rolling die)

p(roll 2 or 3)=2/6

p(roll 2 or 3)=1/3=.33

Option 2 (pick letters)

p(pick A or B) = 2/5

p(pick A or B) = .4

.33<.4

Since option 2 with picking letters has a higher chance of winning, then Travis should play the second game to win the goldfish as a higher chance of winning makes it easier for him to win the prize.

1.Perimeter: [tex]\( P ≈ 31.05 \, mm \)[/tex]

2. Apothem: [tex]\( a ≈ 4.89 \, mm \)[/tex]

3. Area: [tex]\( Area ≈ 75.91 \, mm^2 \)[/tex]

So, the area of the regular 15-gon with a radius of 5 mm is approximately [tex]\( 75.91 \, mm^2 \).[/tex]

To find the area of a regular polygon, you can use the formula:

[tex]\[ Area = \frac{1}{2} \times Perimeter \times Apothem \][/tex]

Where:

- Perimeter is the total length of all the sides of the polygon.

- Apothem is the distance from the center of the polygon to the midpoint of any side.

For a regular polygon, the apothem can be calculated using trigonometry. In this case, the regular 15-gon (also called a pentadecagon) has 15 equal sides.

Let's break down the steps:

1. Calculate the Perimeter:

  The perimeter of a regular polygon with ( n ) sides can be calculated as [tex]\( P = n \times s \)[/tex], where ( s ) is the length of each side. Since we're given the radius of the polygon, we need to calculate the length of one side using trigonometry.

2. Calculate the Apothem:

  The apothem of a regular polygon can be calculated using the formula:

[tex]\[ a = r \times \cos\left(\frac{\pi}{n}\right) \][/tex]

  where ( r ) is the radius of the polygon, and ( n ) is the number of sides.

3. Plug the values into the Area Formula:

  Once you have both the perimeter and the apothem, you can plug them into the area formula and calculate the area.

Let's do the calculations:

1. Calculate the Perimeter:

  The length of one side ( s )) can be calculated using trigonometry. Since we're dealing with a 15-gon, each interior angle is[tex]\( \frac{(15-2) \times 180°}{15} = 156° \).[/tex]

  Using the law of cosines:

[tex]\[ s = 2 \times r \times \sin\left(\frac{180°}{15}\right) \][/tex]

[tex]\[ s = 2 \times 5 \times \sin(12°) \][/tex]

 [tex]\[ s ≈ 2 \times 5 \times 0.207 ≈ 2.07 \, mm \][/tex]

  So, the perimeter (( P )) is:

[tex]\[ P = 15 \times 2.07 ≈ 31.05 \, mm \][/tex]

2. Calculate the Apothem:

[tex]\[ a = 5 \times \cos\left(\frac{\pi}{15}\right) \][/tex]

 [tex]\[ a = 5 \times \cos(12°) \][/tex][tex]\[ a = 5 \times \cos\left(\frac{\pi}{15}\right) \][/tex]

[tex]\[ a ≈ 5 \times 0.978 ≈ 4.89 \, mm \][/tex]

3. Plug the values into the Area Formula:

[tex]\[ Area = \frac{1}{2} \times 31.05 \times 4.89 \][/tex]

[tex]\[ Area ≈ \frac{1}{2} \times 31.05 \times 4.89 ≈ 75.91 \, mm^2 \][/tex]

So, the area of the regular 15-gon with a radius of 5 mm is approximately [tex]\( 75.91 \, mm^2 \)[/tex].

Answer:

x-intercepts (4,0) and (-2,0)

Step-by-step explanation:

f(x)=(x-4)(x+2)

f(x)=0=y

0=(x-4)(x+2)

x-4=0 or x+2=0

x=4 or x=-2

x-intercepts (4,0) and (-2,0)

Answer:

the answer is d

Step-by-step explanation:

i took the quiz on Edge

The solution to the system of linear equations graphed below if, On a coordinate plane, 2 lines intersect at (3.5, negative 4) is (0, negative 4).

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line. Functions like y = mx, where m can be any constant, are considered linear equations.

Given:

On a coordinate plane, 2 lines intersect at (3.5, negative 4),

the coordinates of the intersection point are (3.5, -4)

The equation of must satisfy these coordinates,

On the y-axis line will have no x-intercept i.e. x = 0

Hence, the coordinates will become (0, -4)

Thus, the solution to the system of linear equations graphed below is (0, negative 4).

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Answer:

its four times larger

Step-by-step explanation:got it right on the test

To find the 20th term in this sequence, we can simply keep on adding the common difference all the way until we get up to the 20th term.

The common difference is the number that we are adding or subtracting to reach the next term in the sequence.

Notice that the difference between 15 and 12 is 3.

In other words, 12 + 3 = 15.

That 3 that we are adding is our common difference.

So we know that our first term is 12.

Now we can continue the sequence.

12 ⇒ 1st term

15 ⇒ 2nd term

18 ⇒ 3rd term

21 ⇒ 4th term

24 ⇒ 5th term

27 ⇒ 6th term

30 ⇒ 7th term

33 ⇒ 8th term

36 ⇒ 9th term

39 ⇒ 10th term

42 ⇒ 11th term

45 ⇒ 12th term

48 ⇒ 13th term

51 ⇒ 14th term

54 ⇒ 15th term

57 ⇒ 16th term

60 ⇒ 17th term

63 ⇒ 18th term

66 ⇒ 19th term

69 ⇒ 20th term

This means that the 20th term of this arithemtic sequence is 69.

Answer:

The answer is 37.5%

Answer:

37.5%

Step-by-step explanation:

add 15+20 =40     15/40 *100(we use 100 because  a percent is always out of 100.) 0.375*100. = 37.5

Price of one ride is equals to $3 for the given system of equations.

" System of equations is a finite set of equations for which we find the common solution."

According to the question,

x represents the number of rides

y represents the number of games

Two situations are given for which we need to find the system of equations .

Situation 1: Zack went for 3 rides and played 5 games and paid $14, which represents the equation:

3x +5y = 14

⇒ 5y = 14 - 3x

⇒ y = ( 14 - 3x) / 5

Situation 2: Marissa went for 4 rides and played 4 games and paid $16, which represents the equation:

4x +4y = 16

Substitute the value y in situation 2 we get,

4x + 4[( 14 - 3x) / 5] =16

⇒ x  = 3

Hence, price of one ride is equals to $3 for the given system of equations.

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Answer:

21 questions

Step-by-step explanation:

First find the unit rate by dividing question number by hours  

35/5=7

So he makes 7 questions per hour

Multiply 7 by 3

7*3=21

So, he makes 21 questions in 3 hours

Hope this helps! :)

11.6

fg dsjkfl;jslbnlkxcvgbhjkl

Step-by-step explanation:

Given

Radius (r) = 5 units

π = 3.14

Now

Circumference

= 2πr

= 2 * 3.14 * 5

= 31.4 units

Answer:

31.4 units

Step-by-step explanation:

Circumference of a circle = 2 # r

Where pi(#) = 3.14

r = radius = 5 units

Circumference = 2 × 3.14 × 5

Circumference = 10 × 3.14

Circumference = 31.4 units

I hope this was helpful, please rate as brainliest

Answer:

$390

Step-by-step explanation:

First he has $500-$40=$460

So now he has $460+$30=$490

He has $490-$100=$390

$390 money is left in his account.

Explanation:

First, he has $500-$40=$460

So now he has $460+$30=$490

He has $490-$100=$390

Word problems normally encompass mathematical modeling questions, where facts and statistics approximately a positive system is given and a student is required to expand a model. for example Jane had $five.00, then spent $2.00. How lots does she have now?

You could use three common varieties of word problems-- part-part-whole, separate and join and multiply and divide -- for everything from counting pennies to calculating a tip.

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Answer:

A

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

The domain is the set of numbers that can be substituted into the x-variable.

In a polynomial function of any degree, the domain is the set of real numbers.

If a function has x in the denominator or x in a square root, you must see which values of x make the function undefined, and exclude those values from the domain.

Answer:

[tex]1,963\ m[/tex]

Step-by-step explanation:

step 1

Find the circumference of the circular track

The circumference is given by the formula

[tex]C=\pi D[/tex]

we have

[tex]D=125\ m[/tex]

assume

[tex]\pi=3.14[/tex]

substitute

[tex]C=(3.14)(125)=392.5\ m[/tex]

step 2

If Ming walks around the track 5 times, then to find out the total meters that she will walk, multiply the circumference of the circular track by 5

[tex]392.5(5)=1,963\ m[/tex]

Answer:

1

Step-by-step explanation:

6+(-2)3-(-4+1)

6+(-8)-(-4+1)

6+(-8)-(-3)

(-2)-(-3)

=1

Given:

ΔABC [tex]\sim[/tex] ΔDEF

To find:

The length of median CP

Solution:

In ΔABC,

AP = 12, BP = 12 and PC = 3x - 12

In ΔDEF,

DQ = 16, QE = 16 and FQ = 2x + 8

If two triangles are similar, then their median is proportional to the corresponding sides.

[tex]$\Rightarrow \frac{AP}{DQ} =\frac{PC}{FQ}[/tex]

[tex]$\Rightarrow \frac{12}{16} =\frac{3x-12}{2x+8}[/tex]

Do cross multiplication.

[tex]$\Rightarrow 12(2x+8)=16(3x-12)[/tex]

[tex]$\Rightarrow 24x+96=48x-192[/tex]

Add 192 on both sides.

[tex]$\Rightarrow 24x+96+192=48x-192+192[/tex]

[tex]$\Rightarrow 24x+288=48x[/tex]

Subtract 24x from both sides.

[tex]$\Rightarrow 24x+288- 24x=48x- 24x[/tex]

[tex]$\Rightarrow 288=24x[/tex]

Divide by 24 on both sides.

⇒ 12 = x

Substitute x = 12 in CP.

CP = 3(12) - 12

     = 36 - 12

     = 24

The length of median CP is 24.

Answer:

I think it is the second one

Answer:

(-2,0) and (-7,0).

Step-by-step explanation:

Hope this helps!

Answer:

y = -3, x = 9

Step-by-step explanation:

step 1) subtract 4y from both sides.

x + 4y - 4y = -3 - 4y

step 2) simplify

x = -3 - 4y

step 3) substitute x = -3 - 4y

-3 - 4y + 7y = -12

step 4)  Add similar elements: -4y + 7y = 3y

-3 - 4y + 7y = -12

step 5) Add 3 to both sides

-3 + 3y + 3 = -12 + 3

step 6) Simplify

3y = -9

step 7) Divide both sides by 3

3y/3 = -9/3

step 8) you now know y = -3

step 9) substitute y = -3 in for x = -3 - 4y

x = -3 - 4(-3)

step 10) negative times a negative equals a positive

x = -3 + 12

step 11) add -3 by 12 to get x = 9

step 12) you now have found the answer x = -3 and y = 9

The question involves solving a system of linear equations using the elimination method, resulting in the solution [tex]\(x = 9, y = -3\).[/tex]

The problem provided is a system of linear equations. Here's how to solve the system:

x + 4y = -3

x + 7y = -12

Subtract the first equation from the second:

[tex]\((x + 7y) - (x + 4y) = -12 - (-3)\)[/tex]

[tex]\(3y = -9\)[/tex]

Now, solve for y:

[tex]\(y = -3\)[/tex]

Substitute y back into the first equation to find x:

[tex]\(x + 4(-3) = -3\)[/tex]

[tex]\(x - 12 = -3\)[/tex]

[tex]\(x = 9\)[/tex]

So the solution is [tex]\(x = 9, y = -3\)[/tex].

The procedure used is known as the elimination method, which is a technique to solve simultaneous linear equations.

12.24 inches

you would do 10.2 x 1.2

Answer: 12.24

Step-by-step explanation:

Answer:

There is a 5% difference

Step-by-step explanation:

80%-75%=5%

Answer:

AA

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

hope this helps

Answer:

-9.7

Step-by-step explanation:

we can do the opposite of everything that was done to get the resulting difference

so......

-8.4+6.4=-2

-2x19.4=-38.8

-38.8/4=-9.7

and to double check.......

-9.7x4=-38.8

-38.8/19.4=-2

-2-6.4=-8.4

Answer:

So, ADC = 124/2 => ⛰ ADC = 62°

Step-by-step explanation:

If ABC i.e angle of centra = 124°

If ABC i.e angle of centra = 124°Then, we know that angle at any where of Circle is 1/2 if central angle

Thank You ☺️ ☺️.

Angle ABC is 124 degrees.  That makes a linear pair with angle DBC, which must be the supplement 56 degrees.

That's the unique angle in an isosceles triangle.  The others must be (180-56)/2=62.

Answer:    62°

Answer:

Yes

Step-by-step explanation:

Hi, the expression is correct.

Since she wants to price (p) her used books with a 50% gross profit, to do this she has to multiply the cost of the books (c ) by a percent increase (1 + %/100).

So, for a 50% gross

p = (1 + 50/100) c = (1+ 0.5 )c  

p= 1.5c

Feel free to ask for more if needed or if you did not understand something.

If the radius is doubled, then the area of one base of a cylinder  quadrupled and the equation is:

[tex]\boxed{A_{b1}=4\pi r^2}[/tex]

The surface area of a solid is the total area of its outer surface. For a cylinder whose radius of its circular base is [tex]r[/tex], and height [tex]h[/tex], then the surface area (S) can be calculated as:

[tex]S=\text{Surface area of base 1}+\text{Surface area of base 2}+\text{Surface area of the side} \\ \\ S=A_{b1}+A_{b2}+A{s} \\ \\ S=\pi r^{2}+\pi r^{2}+2\pi rh \\ \\ S=2\pi r^{2}+2\pi rh \\ \\ \\ Because: \\ \\ \text{Surface area of base 1}=\text{Surface area of base 2} \\ \\ \\ Where: \\ \\ A_{b1}:\text{Surface area of base 1} \\ \\ A_{b2}:\text{Surface area of base 2} \\ \\ A_{s}:\text{Surface area of the side}[/tex]

So, if the radius is doubled then the area of one base is:

[tex]A_{b1}=\pi (2r)^{2} \\ \\ A_{b1}=\pi (4r^2) \\ \\ \boxed{A_{b1}=4\pi r^2}[/tex]

Answer:

g = 7

Step-by-step explanation:

you add 9 to 9 and cancle it out . then you add 9 to -2 and you get 7 = g . just switch it around and you get your answer .

Answer:

7=g

Step-by-step explanation: