every year from 2002 to 2014 either joey chestnut of california or takeri kobayashi of japan won the contest. in the five of those years both men completed and the results od the rivalry are shown in the table below. ( after the tie in 2008 joey chestnut won in aan overtime) because the condition of the year natter this is a matched pairs situation witht he twi men going against each year. in a matched pair situation we ise the summary statistica of difference between paris of values

Answer:

1711

Step-by-step explanation:

\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)

Make sure to follow order of operations!

Answer:

-3x -12

Step-by-step explanation:

-6x +3x = -3x

-3-9 = -12

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

Let's assign variables to represent the statements:

q: The aquarium is full of fish.

r: There are penguins.

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

∧ represents the logical operator "and" which connects the statements r and q.

→ represents the logical operator "implies" or "if...then".

o represents the statement "this is an octopus".

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Answer:

it is 6 yw!

Step-by-step explanation:

Answer:

y = -338

Step-by-step explanation:

\(-26 = \dfrac{y}{13}\)

Multiply by 13 on both sides.

\(-26 \cdot 13 = y\)

\(-338 = y\)

y = -338

Answer:

-338

Step-by-step explanation:

-26=y/13

cross multiplying

y=-26×13

y=-338

The slope and the y-intercept of the line y = 4x + 5 are given as follows:

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

The function for this problem is given as follows:

y = 4x + 5.

Hence the slope and the intercept are given as follows:

The problem asks for the slope and the intercept of y = 4x + 5.

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If Point A is located at (1, 2) and Point B is located at (4, 6), the length of the line between points A and B is 5 units.

To determine the length of the line between points A and B, we can use the distance formula, which is a formula used to calculate the distance between two points in a coordinate plane. The distance formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points and d is the distance between them.

Using the coordinates of points A and B, we can substitute their values into the distance formula to find the length of the line between them:

d = √((4 - 1)² + (6 - 2)²)

d = √(3² + 4²)

d = √(9 + 16)

d = √25

d = 5

Rounded to the nearest whole number, the length of the line is also 5 units.

In conclusion, we can use the distance formula to find the length of the line between two points in a coordinate plane. The distance formula uses the coordinates of the two points to calculate the distance between them. The resulting distance can be rounded to the nearest whole number, if needed.

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Answer:

Step-by-step explanation:

let weight of DVD & packing material=x lb

8.50x+1.10=2.50x+2.25

8.50 x-2.50 x=2.25-1.10

6 x=1.15

x=1.15/6=0.19166... lb

Answer:

5:35

Step-by-step explanation:

i added the 15 from first to 12:45 (when they arrived) so it was 1 pm already add the other 3 hours to 1pm its 4pm 55 minutes plus 40 minutes is 1 hour and 35 minutes so 4pm +1 hour and 35 minutes = 5:35

also just saw other guys answer if people send links like that its a virus or scam so report it and dont go to the link

Answer:

16

Step-by-step explanation:

1/4 is 20

20per is 16

20+16+28 is 64 minus 80 is 16

The value of the expression f(a) is f(a) = a^2 + 7a, based on the given function f(x) = x^2 + 7x and the value x = a

The given parameters in the question are:

f(x) = x^2 + 7x and

x = a as in f(a)

This means that the equation of the function f(x) is given as:

f(x) = x^2 + 7x

To calculate the value of the function f(a), we simply substitute a for x in the equation of the function f(x) = x^2 + 7x.

This means that we set x to a in the equation of the function f(x) = x^2 + 7x.

So, we have;

f(a) = a^2 + 7a

The above equation cannot be further simplified or expanded

So, we conclude that

Based on the given function f(x) = x^2 + 7x and the value x = a, the value of the expression f(a) is f(a) = a^2 + 7a

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A la sala de cine ingresaron 180 niños y 165 adultos.

De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:

3 · x + 5 · (345 - x) = 1365

Donde x es el número de niños que asistieron a la sala de cine.

Ahora despejamos la variable correspondiente mediante propiedades algebraicas:

3 · x + 1725 - 5 · x = 1365

1725 - 2 · x = 1365

2 · x = 1725 - 1365

2 · x = 360

x = 180

Ahora, el número de adultos es:

y = 345 - 180

y = 165

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Answer:

No solution

Step-by-step explanation:

4x = 4x + 1

0 unequal to 1

Answer: D. No solution

please mark Brainliest :)

Step-by-step explanation:

the circle to any point on the circle

Answer:

Radius

.....................

Answer:

y = 4x+9 is the answer.

Step-by-step explanation:

Hope this helps:)

The expression 30b -6c, when factorised is; 6(5b -c).

The factorisation of the given expression can be done by determining the common factor and hence; we have;

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The composite result function (f o g) and (g o f ) the given functions f(x) = x/(x-7) and g(x) = 5/x are 5/(5 - 7x ) and (5(x - 7))/x respectively.

A function is simply a relationship that maps one input to one output.

Given the data in the question;

First, set up the composite result function ( f o g ).

( f o g ) = f( g(x) )

( f o g ) = f( g(x) )  = 5/x / ( (5/x) - 7 )

Simplify

( f o g ) = 5/x / ( (5/x) - 7 )

( f o g ) = 5/x × 1/( (5/x) - 7 )

( f o g ) = 5/x × x/(5 - 7x )

( f o g ) = 5/(5 - 7x )

Next, we find ( g o f ).

( g o f ) = g( f(x) ) = 5 / ( x/ (x - 7) )

Simplify

( g o f ) = 5 / ( x/ (x - 7) )

( g o f ) = 5 × (x - 7)/x

( g o f ) = (5(x - 7))/x

Therefore, the composite result function ( f o g ) equals 5/(5 - 7x ) and ( g o f ) equals (5(x - 7))/x.

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The probability that a person who tests positive actually has the disease is 0.012%

From the question, we have the following parameters that can be used in our computation:

The probability that a person who tests positive actually has the disease is represented as

Probability = Incidence rate * False positive rate

Substitute the known values in the above equation, so, we have the following representation

Probability = 0.3% * 4%

Evaluate the products

Probability = 0.012%

Hence, the probability is 0.012%

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Answer:

5.33

Step-by-step explanation:

Answer: The largest three digit number is 999

Step-by-step explanation: 999

Answer:

B. Tangent

Step-by-step explanation:

Tangent always makes 90 degree angle with the radius. Now in triangle let's see if it's right angled triangle or not.

To confirm if it's a right angled triangle it should follow Pythagoras Theorem.

Which states square of hypotenuse = sum of squares of other two legs

\(12 {}^{2} + 16 {}^{2} = 20 { }^{2} \\ 144 + 256 = 400 \\ 400 = 400\)

it proves that it's a right angled triangle. Hence AB is a tangent to circle.

Yes, line AB is tangent to the circle.

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Since, Tangent always makes 90 degree angle with the radius.

Hence, in triangle we can see if it's right angled triangle or not.

Now, To confirm if it's a right angled triangle it should follow Pythagoras Theorem as;

12² + 16² = 20²

144 + 256 = 400

400 = 400

Which states square of hypotenuse = sum of squares of other two legs

it proves that it's a right angled triangle. Hence AB is a tangent to circle.

Hence, We can say that;

⇒ line AB is tangent to the circle.

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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The equation is given in "slope-intercept" form.

  y = mx + b

where m is the slope, and b is the y-intercept.

__

For graphing, it is usually convenient to start with the y-intercept. The value of 'b' in your equation is +1, so the graph will go through the point y=1 on the y-axis. That point's coordinates are (0, 1).

The value of m represents the slope, or "rise"/"run" of the line. A slope of -2/3 means the line "rises" -2 units for each "run" of 3 units to the right. Then another point on the graph will be 3 units to the right of the y-axis, and 2 units down from y = 1. That point is (3, -1).

The line is drawn through these points you found on the graph.

Answer:

Below

Step-by-step explanation:

From 7 to 10 AM is THREE hours (if the times are all on the same day)

Answer:

5 oranges and 10 apples were sold  

Step-by-step explanation:

Let x be the number of oranges sold and y be the number of apples sold

Since 15 fruits were sold in all we get the following equation

x + y = 15 ....................[1]

Each orange costs $1 so if x oranges were sold that would fetch x dollars in sales = x dollars in sales

Each apple costs $2 so if y apples were sold, that would result in 2y dollars in sales

Total sales in $ = x + 2y and we know this is $25 so we get the second equation as

x + 2y = 25 ..................[2]

Look at the two equations. The coefficient of the x term is the same. We can eliminate the x term by subtracting equation [1] from equation [2] as follows:

x + 2y = 25
                    -
x  +   y = 15
-----------------
        y = 10

(2y - y = y and 25-15 = 10)

Now that we know y = 10, we can use equation [1] to find x

x + 10 = 15

which makes x = 5

ANSWER

5 oranges and 10 apples were sold  

Answer:

The p-value will be "0.0549".

Step-by-step explanation:

The given values are:

Time, t = 15 minutes

Df, σ = 25-1 = 24

Now,

⇒  \(H_{0}:\sigma^2\leq 150\)

and,

⇒  \(H_{1}:\sigma^2>150\)

As we know,

Chi square = \(\frac{(n-1)s^2}{(\sigma^2)}\)

On putting the values in the above formula, we get

⇒                = \(\frac{24\times 15^2}{150}\)

⇒                = \(\frac{24\times 225}{150}\)

⇒                = \(36\)

Therefore, p-value = 0.0549

The p-value determined > 0.05, the null hypothesis also isn't dismissed at point 0.05.

Answer:

D

Step-by-step explanation:

A. Can the relationship between the price and the number of avacados be described with a constant rate? Explain

The relationship between the number of avocados and their price can be described as a constant rate because there is a direct proportionality between the price and the number of avocados.

To get the value of the ratio we have to find that constant number among all the values in the table, for that we divide the value of the price by the number of avocados, If this value is the same for all values, the ratio is constant:

Then the ratio between the price and the number of avocados is 1.25 and is constant.

B. Can the relationship between the weight and the number of avacodos be described with a constant rate? Explain

Following the explanation of the previous problem, we are going to divide the weight of the avocados by the number of avocados to verify what the ratio is and thus be able to determine if it is constant or not.

As we can see, the ratio for each of the measures is different, this happens because the sizes of the avocados are never the same. For this there cannot be a constant rate

Answer:

To find the fraction of the total audience that were students or teachers, you need to add the fractions of students and teachers and simplify the result.

5/12 + 1/8 = (53) / (123) + (16) / (86) = 15/36 + 6/48 = 15/36 + 3/24 = 18/36 + 3/24 = (18+3) / (36+24) = 21/60

So 21/60 of the total audience were students or teachers.

Answer:

V = 4/3 units

Step-by-step explanation:

See attachment for calculation.

Then we substitute for y and z in the rewritten equation

x = 6 - 2y - 3z, where

y = 1

z = 2/3

x = 6 - 2(1) - 3(2/3)

x = 6 - 2 - 2

x = 2

Recall I stated that the volume of a rectangular box is

V = xyz, now we substitute for all the unknown variables.

V = 2 * 1 * 2/3

V = 4/3 units.

Answer:

$208

Step-by-step explanation:

First, divide.

80 ÷ 5 = 16

Next, multiply.

16 × 13 = 208

Lastly, have a wonderful day! :)

Answer:

At the same rate, Latoya would make $208 for 13 hours of work.

Step-by-step explanation:

Since Latoya made $80 for 5 hours of work, that means she made a unit rate of $16 per hour. By working at the same rate for 13 hours, she would make a total of \(16 * 13 =\) $208.