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There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.

To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.

Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.

Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.

To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.

Therefore, there will be 12 slices of pizza left over.

To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.

If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.

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1. The standard equation of the circle is x² + y² = 4. 2. The standard equation of the circle is (x - 3)² + (y - 2)² = 4.

The points in a plane that are equally spaced apart from a fixed point known as the centre make up a circle, which is a two-dimensional geometric object. The radius of a circle is the separation between its centre and any other point on the circle. The circle is one of the most fundamental and significant geometric forms. It is used in many fields of science, mathematics, and engineering, including calculus, coordinate geometry, and trigonometry. The design of wheels, gears, and lenses as well as the simulation of scientific events like the motion of planets and electrons are other common practical uses for circles.

The standard equation of a circle is

(x - h)² + (y - k)² = r²,

where (h,k) is the center of the circle and r is its radius.

1. Center (0, 0) and radius = 2:

(x - 0)² + (y - 0)² = 2²

x² + y² = 4

Therefore, the standard equation of the circle is x² + y² = 4.

2, Center (3, 2) and radius = 2:

(x - 3)² + (y - 2)² = 2²

(x - 3)² + (y - 2)² = 4

Therefore, the standard equation of the circle is (x - 3)² + (y - 2)² = 4.

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Answer:

Step-by-step explanation:

\(a_{1}=1\\d=-3-1=-4\\a_{n}=a_{1}+(n-1)d\\a_{n}=1+(n-1)(-4)\\a_{n}=1-4n+4\\a_{n}=5-4n\)

Answer:

15 + 2.05 x = 2.35 x

Step-by-step explanation:

Let x be the number of gallons you would have to buy for the two places to be the same.

At the club, there is a monthly fee of $15 that is charged once in a month. They also charge $2.05 per gallon, which is charged every gallon of gas you buy.

We can write an expression: 15 + 2.05 x

At the gas station, they charge $2.35 per gallon with no other fees.

We can also write an expression: 2.35 x

For the prices to be the same, we have 15 + 2.05 x = 2.35 x

If we were to solve, then we have:

(2.35 - 2.05) x = 15

x = 15 / 0.3 = 50 gallons

To find the common roots between two functions, we need to find the roots (or solutions) of each function individually and then identify the shared solutions.

For the function f(x) = x^2 + x - 6, we can find the roots by setting the function equal to zero and solving for x:

x^2 + x - 6 = 0

To factorize this quadratic equation, we need to find two numbers that multiply to -6 and add up to 1 (the coefficient of x). The numbers that satisfy these conditions are 3 and -2:

(x + 3)(x - 2) = 0

Setting each factor equal to zero:

x + 3 = 0 or x - 2 = 0

Solving for x in each equation:

x = -3 or x = 2

Therefore, the function f(x) = x^2 + x - 6 has two roots: x = -3 and x = 2.

To find the common roots between this function and another function, we would need to know the second function. If you provide the second function, I can help determine if there are any shared roots.

Answer:

Your answer is D 18 sq ft

Step-by-step explanation:

Hope I help!

Guarantee this answer is correct ;)

Answer:

Step-by-step explanation:

Answer:

23,D   24,B    25,A

Step-by-step explanation:

i tried my best hope this helps

Answer:

Step-by-step explanation:

(10-4)/(2+4)= 6/6 =1

y - 10 = x - 2

y = x + 8

Answer:

one hundred forty-five thousand nine hundred seventy-three

hope this helps!

Answer:

It's five times the size of .0001

Step-by-step explanation:

The experimental probability of choosing a nickel based on 13 trials would be 4 / 13

The experimental probability can be found by the formula ;

= ( ( Probability of picking a Nickel x Number of trials ) + 1 ) / 13 trials

Probability of picking a Nickel - 1 / 4

Number of trials - 13 trials

The experimental probability for Landon picking a Nickel on the 13th trial is :

= ( ( 1 / 4 x 12 ) + 1 ) / 13

= ( 3 + 1 ) / 13

= 4 / 13

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Answer:

Step-by-step explanation:

hope it's helpful :-)

Trivially, we have

\(a_2 = \sqrt{1+a_1} = \sqrt2 > 1 = a_1\)

so the base case is satisfied.

Assume \(a_k > a_{k-1}\), so

\(a_k = \sqrt{1+a_{k-1}} > a_{k-1}\)

We want to use this to show \(a_{k+1} > a_k\). \(\sqrt x\) is an increasing function, so from our assumption it follows that

\(a_{k+1} = \sqrt{1 + a_k} > \sqrt{1 + a_{k-1}} = a_k\)

QED

Answer + Step-by-step explanation:

\(a_{1}=1\)

\(a_{2}=\sqrt{1+a_{1}} =\sqrt{1+1} = \sqrt{2}\)

then

\(a_{2} \geq a_{1}\)

\(\text{suppose}\ a_{n+1} \geq a_{n}\ \text{and prove that} \ a_{n+2}\geq a_{n+1}\)

\(a_{n+2}=\sqrt{1+a_{n+1}} \geq \sqrt{1+a_{n}} = a_{n+1}\)

Then

\(a_{n+2} \geq a_{n+1}\)

Then ,according to the principal of mathematical induction:

the sequence (an) is increasing​.

Answer:

\( \frac{29}{3} = 9 \frac{2}{3} \)

Answer:B.The constant of proportionality is 3. In the table the constant of proportionality is represented by the y-value when the x-value is 1. On a graph, the constant of proportionality represents the steepness of the line.

This is the answer because all of the Y's can be divided by X and equal three.

3 divided by 1 is 3, 15 divided by 5 is 3, 24 divided by 8 is 3, and 27 divided by 9 is 3.

This means that there is a constant rate, which is the proportionality,3.  This is also represented by our first X and Y value. X is 1 and Y is 3, which means that the word length increases by 3.

I hope this helped & Good Luck <3!!!!

Correct answer is B.

So this table represents a set of values related by a constant of proportionality. This constant is just the value of the slope created when the values from the "x" and "y" axis are plotted into a two-dimensional graph.

Notation: (x, y)

OP 1: (1, 3)

OP 2: (5, 15)

Slope formula: \(m=\frac{y_{2} -y_{1}}{x_{2} -x_{1} }\)

Substituting in the formula and calculating:

\(m=\frac{(15) -(3)}{(5) -(1)}\\ \\m=\frac{12}{4} \\ \\m=3\)

This value for the slope, or contant of proportionality, is enough to determine the correct answer. Correct answer is answer B.

This constant represent the relation between the word length (x) and the score (y) is 3. Therefore, each time a word length increases one time, the score increases 3 times as much.

Chech the attached image.

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The number of coupon codes that can be generated is given as follows:

247,808 coupon codes.

The Fundamental Counting Theorem states that if there are m ways to do one thing and n ways to do another, then there are m x n ways to do both.

This can be extended to more than two events, where the number of ways to do all the events is the product of the number of ways to do each individual event, according to the equation presented as follows:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

The codes are composed as follows:

Thus the total number of codes is obtained as follows:

N = 22² x 8³

N = 247,808 coupon codes.

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Answer:

Estimate: 0.05, Scientific Notation: 5*10^-2

Step-by-step explanation:

Using the rules of rounding, we get 0.05. Next, all we do is move the decimal place to the right, and count the amount of times we move it to the left, 2, so the exponent is -2

Answer:

Stratified sampling

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

Population divided into groups, and random samples are drawn from the groups. This is a mark of stratified sampling.

Answer:

Contribution margin = Revenue − Variable costs

Step-by-Step Explanation

For example, if the price of your product is $20 and the unit variable cost is $4, then the unit contribution margin is $16.

The first step in doing the calculation is to take a traditional income statement and recategorize all costs as fixed or variable. This is not as straightforward as it sounds, because it’s not always clear which costs fall into each category.

Hope this helps and if it does, don't be afraid to rate my answer as well as maybe give it a "Thanks"? (Or even better a "Brainliest"). And if it’s not correct, I am sorry for wasting your time, and good luck finding the correct answer :)  

Answer: A

Step-by-step explanation: the median is 39.7 (you can round to 40) and the median line marks around there

Answer:

Null - p= 71%

Alternative - p =/ 71%

Step-by-step explanation:

The null hypothesis is always the default statement in an experiment. While the alternative hypothesis is always tested against the null hypothesis.

Null hypothesis: 71% of their readers own a personal computer- p = 71%

Alternative hypothesis: Not 71% of their readers own a personal computer - p =/ 71%

Answer:

Jenna has 3 water bottles

Step-by-step explanation:

So R have 12 bottles and this 12 bottles is 4 times of J's bottle.

12 ÷ 4 = 3

So Jenna has 3 bottles

Answer: 0.4255

Step-by-step explanation:

Given:  IQ scores of adults, and those scores are normally distributed

Mean: \(\mu=100\)

Standard deviation: \(\sigma= 15\)

Let X denotes the IQ of a random adults.

The area between 102 and 130 = \(P(102<X<130)=P(\dfrac{102-100}{15}<\dfrac{X-\mu}{\sigma}<\dfrac{130-100}{15})\)

\(=P(0.13<Z<2)\ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=P(Z<2)-P(Z<0.13)\\\\=0.9772- 0.5517\ [\text{By z-table}]\\\\=0.4255\)

Hence, area between 102 and 130 = 0.4255

The equation of the line in fully simplified slope-intercept form is y = x + 7.

We have,

From the graph,

The coordinates of the line are:

(0, 7), (-7, 0), and (-2, 5).

We can use any coordinates the line touches on the graph.

We will use,

(0, 7) and (-7, 0)

The equation can be written in the form y = mx + c

m = (0 - 7) / (-7 - 0)

m = -7/-7

m = 1 ______(1)

And,

(0, 7) = (x, y)

So,

y = mx + c ______(2)

7 = 1 x 0 + c

7 = c

c = 7 ______(3)

Now,

From (1), (2), and (3).

y = x + 7

Thus,

The equation of the line in fully simplified slope-intercept form is y = x + 7.

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Answer:

9x^2y^2

Step-by-step explanation:

Ok so to find the area of a square we have to square the side length. So 3xy*3xy = 9x^2y^2 because 3*3=9, x*x=x^2, and y*y=y^2.

Step-by-step explanation:

Using the formula for simple interest:

Simple Interest = P * r * t

where P is the principal, r is the rate of interest, and t is the time in years.

Substituting the given values:

Simple Interest = $370 * 0.02 * 2 = $14.80

Therefore, the simple interest owed for the use of the money is $14.80.

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20..

To estimate the value of the vehicle after 4 years, we can use the given equation A = 39500(0.86)^t, where A represents the value of the vehicle and t represents the number of years.

Substituting t = 4 into the equation:

A = 39500(0.86)^4

A ≈ 39500(0.5996)

A ≈ 23726.20

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20.

This estimation is based on the assumption that the vehicle's value decreases by 14% each year. The equation A = 39500(0.86)^t models the exponential decay of the vehicle's value over time. By raising the decay factor of 0.86 to the power of 4, we account for the 4-year period. The final result suggests that the value of the vehicle would be around $23,726.20 after 4 years of ownership.

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Answer:

The minimum percentage of stores that sell a gallon of milk for between $3.47 and $3.91 is of 75%.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by \(100(1 - \frac{1}{k^{2}})\).

In this question:

Mean of $3.69, standard deviation of $0.11.

What is the minimum percentage of stores that sell a gallon of milk for between $3.47 and $3.91?

3.47 = 3.69 - 2*0.11

3.91 = 3.69 + 2*0.11

So the minimum percentage within 2 standard deviations of the mean, which by Chebyshev's Theorem, is of 75%.

Answer:75%

Step-by-step explanation:

Step-by-step explanation:

y = -x²+6x-5

x-intercept => y= 0

-x²+6x-5=0

x²-6x+5=0

(x-5) (x-1) =0

x= 5 or x=1

(1, 0) and (5, 0)