At Pablo’s Pizza Pie, medium cheese pizzas cost $12.50, large cheese pizzas cost $15, and a 3-liter bottle of soda costs $2.50. Kevin purchased one bottle of soda and 5 pizzas for his party. If he spent exactly $70, what combination of medium and large pizzas did he purchase?

Answer:

4

Step-by-step explanation:

Answer:

Have a good day people

Step-by-step explanation:

The concept of simplifying a Boolean expression involves reducing the expression to its most concise form by applying logical rules and simplification techniques. This helps in reducing complexity, improving readability, and optimizing logic circuits by eliminating redundant terms and literals.

The simplified expression consists of two terms with a total of 5 literals.

To simplify the expression:

xyz + xyz' + x'yz' + x'y'z

We can apply Boolean algebra rules to simplify the terms:

Combine terms with common literals:

xyz + xyz' = xy(z + z') = xy

Combine terms with common literals:

x'yz' + x'y'z = x'z(y + y') = x'z

Now we have simplified the expression to:

xy + x'z

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Answer:

Isosceles right

Step-by-step explanation:

This triangle would be classified as Isosceles right because all the sides are the same length, which classifies as Isosceles, and the triangle has a right angle (90 degrees).

Answer:

Step-by-step explanation:

it looks like the green four sided one,  has two,   the top and bottom ones, then also the blue four sided one ,  maybe the opposite sides are parallel to each other.  :)  

Answer:

6

Step-by-step explanation:

The median is 6. You can find it by counting the frequency of states visited, dividing by 2 then finding the value that corresponds.

The vector parametric equation for the line through the point (-4,-4) that is perpendicular to the line ⟨1+4t,4-t⟩ is ⟨-4+t, -4+4t⟩.

To find a vector parametric equation for the line through the point (-4,-4) that is perpendicular to the line ⟨1+4t,4-t⟩, we need to first find the direction vector of the line we want to create. Since the line we want is perpendicular to ⟨1+4t,4-t⟩, its direction vector should be orthogonal to ⟨1, -1/4⟩ which is the direction vector of ⟨1+4t,4-t⟩.

So, we can find a direction vector for the line we want by taking the dot product of the direction vector of ⟨1+4t,4-t⟩ and any vector that is orthogonal to ⟨1, -1/4⟩. A convenient choice for an orthogonal vector is ⟨1, 4⟩ since their dot product is 1 * 1 + (-1/4) * 4 = 0.

Thus, a direction vector for the line we want is ⟨1, 4⟩. Now we can use the point (-4,-4) and the direction vector ⟨1, 4⟩ to find a vector parametric equation for the line we want:

x = -4 + t

y = -4 + 4t

So the vector parametric equation for the line through the point (-4,-4) that is perpendicular to the line ⟨1+4t,4-t⟩ is ⟨-4+t, -4+4t⟩.

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Answer: 56.82

Step-by-step explanation:

9.47x6=56.82

Answer: 56.82

Step-by-step explanation:

9.47*6 = 56.82

The probability that the king of hearts is visible in the top eight cards is 0.0385 or approximately 3.85%.

There are a total of 52 cards in a standard deck of cards, and since the deck is shuffled, all cards are equally likely to appear in any of the eight positions.

The probability that the king of hearts is visible can be calculated by finding the total number of outcomes where the king of hearts is visible and dividing it by the total number of possible outcomes.

There are two ways in which the king of hearts can be visible:

The king of hearts is in the first position, and any of the remaining seven cards is in the second position.

The king of hearts is in the second position, and any of the remaining seven cards is in the first position.

The probability of the king of hearts being in the first position is 1/52, and the probability of any of the remaining seven cards being in the second position is 51/51 (since one card has already been drawn).

The probability of the king of hearts being in the second position is 51/52 (since the king of hearts was not drawn on the first draw), and the probability of any of the remaining seven cards being in the first position is 1/51.

Therefore, the total probability of the king of hearts being visible is:

P(king of hearts is visible) = P(king of hearts in first position) + P(king of hearts in second position)

= (1/52) x (51/51) + (51/52) x (1/51)

= 0.0385 or approximately 3.85%

Therefore, the probability that the king of hearts is visible in the top eight cards is 0.0385 or approximately 3.85%.

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The conclusion drawn from the data best describes a positive correlation between height and weight for the team.

The table represents the heights and weights of the starting offensive players for a high school varsity football team. The question is asking for the conclusion that best describes the correlation between height and weight for the team.
                            To determine the correlation between height and weight, we can look at the data in the table and see if there is a pattern or trend. We can do this by creating a scatter plot of the data points, with height on the x-axis and weight on the y-axis.
                             After analyzing the scatter plot, we can draw the conclusion that there is a positive correlation between height and weight for the team. This means that as height increases, weight tends to increase as well. The data points on the scatter plot should show a general upward trend.

In summary, the conclusion drawn from the data best describes a positive correlation between height and weight for the team.

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The correlation between height and weight for the high school varsity football team can be described as positive, no correlation, or weak correlation based on the observations. Correlation only describes the relationship between the variables and does not imply causation or provide an explanation.

Based on the given table representing the heights and weights of the starting offensive players for a high school varsity football team, we can draw the following conclusion regarding the correlation between height and weight for the team:

1. Positive correlation: If we observe that as the heights of the players increase, their weights also tend to increase, then we can conclude that there is a positive correlation between height and weight. This means that taller players generally have higher weights, and vice versa.

2. No correlation: On the other hand, if we notice that there is no clear pattern or relationship between height and weight, with some tall players having low weights and vice versa, then we can conclude that there is no correlation between height and weight for the team.

3. Weak correlation: If there is a weak correlation between height and weight, it means that there is a slight tendency for taller players to have higher weights, but the relationship is not very strong or consistent. In this case, we might observe some tall players with lower weights and some shorter players with higher weights.

Correlation only describes the relationship between two variables, in this case, height and weight. It does not imply causation or explain why the correlation exists.

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Answer:

there should be 1 customer waiting in line at the ticket outlet.

Step-by-step explanation:

To calculate the expected number of customers in the queue, we can use the following formula:

Expected number of customers = Arrival rate * Average waiting time

In this case, the arrival rate is 10 customers per hour and the average waiting time is 6 minutes. Converting the waiting time to hours, we get:

Expected number of customers = 10 customers/hour * (6 minutes / 60 minutes/hour) = 1 customer

So the expected number of customers in the queue is 1. This means that on average, there should be 1 customer waiting in line at the ticket outlet.

The equation for the plane through P0(8,1,−4) perpendicular to the following line is x + 4y + 5z - 8 = 0

The slope of the perpendicular line should be a/b, and if one line is perpendicular to this line, the product of slopes should be -1. The equation of a line perpendicular to a given line ax + by + c = 0 is bx - ay + = 0, where is a constant.

The given parameters are

x=8−t​, y=1−2t​, z=3t​,

P0(- 9, 6, - 5).

Direction vector of line is < -1, 4, 5>,

This vector is normal vector for unknown plane.

So, equation of plane: -1(x - (-9)) + 4(y - 6) + 5(z - (-5)) = 0; - x - 9 + 4y - 24 + 5z + 25 = 0;

In conclusion the equation is given as  -x + 4y + 5z - 8 = 0

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In a case whereby Last school year the enrollment of Genoa Middle School was 465 students and this year the enrollment is 525, then The amount of change is 60 and the  percent of change is 13%, increase.

The percentage of change and percentage of increase be calculated below as:

The amount of change  can be calculated as ( 525-465)=60

Then the percentage of increase will be calculated as (60/465) =0.13= 13%.

Therefore, In a case whereby Last school year the enrollment of Genoa Middle School was 465 students and this year the enrollment is 525, then The amount of change is 60 and the  percent of change is 13%, increase.

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We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.

The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.

According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.

Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

The difference between the values in the matched pairs' standard deviation is calculated.

The complete question is:

To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.

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We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.

What is the difference between standard deviation and confidence interval?

The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.

According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.

Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

The difference between the values in the matched pairs' standard deviation is calculated

To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.

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1/2 is the probability that the number will add up to more than 4. Option C is correct

Probability is defined as the likelihood or chance that an event will occur.

Probability = Expected/Total

From the given spinner, the total outcome is expressed according to the permutation

For orange spin

3P2 = 3!
3P2  = 6

For green spin

4P2 = 4!/2!
4P2 = 12

If they are both spinned, the probability that the sum will be more than 4 are:

Expected (orange) = {(2,3)}

Expected (green) = {((1, 3), (3, 4) (2, 4), (2,3)}

Pr(number added is 4) = 1/6 + 4/12

Pr(number added is 4)  = 2+4/12

Pr(number added is 4)  = 1/2

Hence the probability that the number will add up to more than 4 is 1/2

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Answer:

answer: 50%

Step-by-step explanation:

The answer is 50% because 15 is half of 30 because 15 + 15 = 30 so 15 is half of 30 50%

The average rate of change of m(x) = -5^x-33 is less than -25 on Intervals A and B only.

The average rate of change of a function over an interval is the difference between the function values at the endpoints of the interval, divided by the length of the interval. We need to find the intervals where the average rate of change of m(x) is less than -25.

To do this, we can calculate the function values at the endpoints of each interval and then find the average rate of change for each interval. Using the given intervals, we get:

Interval A: m(3) = -5^3-33 = -158 and m(4) = -5^4-33 = -658, so the average rate of change is (-658 - (-158))/(4 - 3) = -500, which is less than -25.

Interval B: m(4) = -5^4-33 = -658 and m(5) = -5^5-33 = -3158, so the average rate of change is (-3158 - (-658))/(5 - 4) = -2500, which is less than -25.

Interval C: m(4) = -5^4-33 = -658 and m(4) = -5^4-33 = -658, so the average rate of change is (-658 - (-658))/(4 - 4) = undefined, which does not meet the condition.

Therefore, the average rate of change of m(x) = -5^x-33 is less than -25 on Intervals A and B only.

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Answer:

$2

Step-by-step explanation:

24/12=2

Answer:

The minimum number of letters John has to send to be sure that Peter receives his letter is 127 letters

Step-by-step explanation:

The four digit numbers that are multiples of 5 and 7 with the last digit = 0 is found as follows  

Since the last digit of the house number = 10, then the house number is divisible by 10 which also meets the condition that the house number is divisible by 5

We have the four digit numbers from 1000 to 9999

Hence the numbers divisible by both 7 and 10 are from (1000/70 (Which is 14 + 2/7) - 2/7)×70 + 70 = 1050 to (9999/70 (Which is 142 + 59/70)- 59/70)×70= 9940

Which gives 142 - 15 =  127 numbers which are four digit number multiples of 5 and 7 with the last digit = 0

Hence the minimum number of letters John has to send to be sure that Peter receives his letter = 127 letters.

The minimum number of letters that John will have to send to ensure Peter receives his letter is : 127 letters

Applying the given information;

size of house number = Four digits which is a multiple of 5 and 7

House number ends with 0

given that the last number has a 0 digit the house number is divisible by 5 because it is divisible by 10

The Four digit house number will fall between : 1000 to 9999

    ( 1000 / 70 ) = \((14 + 2/7) - 2/7)*70 + 70 = 1050\)

    ( 9999 / 70 ) = \(( 142 + 59/70)- 59/70)*70= 9940\)

∴ The minimum number of letters of a four digit number that is a multiple of    5 and 7 and whose last digit = 0 will be

     142 - ( 14 + 1 ) = 127 letters

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IT'S B

HOPE THIS HELPED MARK ME BRAINLIST PLS HAVE A NICE DAY

The combined value of the dimes and quarters is 40 + 400 = 440 cents, which matches the given information. Therefore, our solution is correct, and Alexei has 4 dimes and 16 quarters.

Let's solve the problem step by step to find the number of quarters and dimes that Alexei has.

Let's assume that Alexei has x dimes. Since we are given that he has 4 times as many quarters as dimes, he must have 4x quarters.

The value of a dime is 10 cents, so the total value of the dimes is 10x cents.

Similarly, the value of a quarter is 25 cents, so the total value of the quarters is 25 * 4x = 100x cents.

The combined value of the dimes and quarters is given as 440 cents. Therefore, we can set up the following equation:

10x + 100x = 440.

Combining like terms, we have:

110x = 440.

To solve for x, we divide both sides of the equation by 110:

x = 440 / 110,

x = 4.

So, Alexei has 4 dimes.

Since he has 4 times as many quarters as dimes, he has 4 * 4 = 16 quarters.

In conclusion, Alexei has 4 dimes and 16 quarters.

To verify our answer, we can calculate the total value of the dimes and quarters:

Total value of the dimes = 4 * 10 = 40 cents.

Total value of the quarters = 16 * 25 = 400 cents.

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The phenomena of hiding distribution characteristics in a system from applications and users is known as distribution transparency. Access transparency, location transparency are some examples.

Distributed databases have the attribute of distribution transparency, which keeps consumers from knowing the internal workings of the distribution.

Thus, access transparency, location transparency are some examples of the (distribution) transparency.

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Answer:

1/3*9.7*pi7.6^2ft^3

Step-by-step explanation:

Then round to the nearest hundred,

=586.7ft^3

If I started a job on 08/21/2019 and graduated on 05/20/2022 , I have been working here for 1003 days while I was a student.

The correct answer is B. 1003 days.

To find the number of days you have been working at the job as a student, you need to subtract the start date from the end date.

First, convert the dates to a standard format:

Start date: 08/21/2019 = 2019-08-21

End date: 05/20/2022 = 2022-05-20

Next, subtract the start date from the end date:

2022-05-20 - 2019-08-21 = 2 years, 8 months, 29 days

Convert the years and months to days:

2 years = 730 days

8 months = 243 days

29 days = 29 days

Add the days together:

730 + 243 + 29 = 1002 days

Finally, add one day to account for the fact that the end date is included in the calculation:

1002 + 1 = 1003 days

Therefore, you have been working at the job as a student for 1003 days.

Answer: B. 1003

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Answer:

its 60

Step-by-step explanation:

SOLUTION:

Case: Proportions

Method:

The recommended dosage of a drug for pediatric patients is 200 mg per kilogram

We calculate John's weight in kg

Since

Next, the drug should he receive

Final an

To find out how high the kite is above the ground, we need to use trigonometry. Specifically, we can use the tangent function since we have the opposite and adjacent sides of a right triangle.

First, let's label the triangle. The kite is at the top, and the ground is at the bottom. The string is the hypotenuse of the triangle, and the height of the kite is the opposite side. The angle of elevation is the angle between the string and the ground, so it is the angle opposite the height.

Using the tangent function, we get:

tan(40°) = opposite/80m

To solve for the height, we can rearrange the formula:

opposite = 80m * tan(40°)

opposite = 80m * 0.839

opposite = 67.1m

Therefore, the kite is approximately 67.1 meters above the ground. It's important to note that this answer is an approximation since the kite may not be perfectly vertical and other factors could affect the height. Nonetheless, the calculation gives us a good estimate of how high the kite is flying.

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The names of one part are : 1 by 3, 1/3 and 1 out 3

A fraction is a part of a whole number, and a way to split up a number into equal parts.

Given that, the lines to divide the figure into the given number of equal parts.

Let the line divides the figure into 3 parts,

Using the concept of fraction,

Considering the 1 part,

The names will be =

1 by 3, 1/3 and 1 out of 3

Hence, the names of one part are : 1 by 3, 1/3 and 1 out 3

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