John has a soup recipe that calls for two 14.5-ounce cans of chicken broth. The recipe serves 4 people. He wants to increase the recipe to serve it to a party of 28 people. If John buys chicken broth in 1-quart containers, how many containers does he need?

The equation of line in point-slope form of the line, is y = 5x - 1.

What is point - slope form of the line?

The general form of a linear equation is y - y1 = m(x - x1).

It draws attention to the line's slope and one of the line's points (that is not the y-intercept).

Given:

The line passes through the points (1, 4) and (2, 9).

We have to find the equation of line in point - slope form.

First to find the slope from the given points.

Since,

\(m = \frac{y_2-y_1}{x_2-x_1}\)

Here, \((x_1, y_1) = (1, 4), (x_2, y_2) = (2, 9)\)

So, \(m = \frac{9-4}{2-1} = 5\)

Now consider, the point slope form of the line

\(y-y_1=m(x-x_1)\)

Plug \(m = 5, (x_1, y_1) = (1, 4)\)

⇒

\(y - 4=5(x-1)\\y-4=5x-5\\y=5x-5+4\\y=5x-1\)

Hence, the equation of line in point-slope form of the line, is y = 5x - 1.

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To find the company's profits, we need to calculate the total revenue and total cost. Since marginal profit is $0, the total revenue and total cost will be equal.

To calculate the total revenue, we multiply the price per TV by the number of TVs sold. At a price of $2200, the company sells 700 TVs, so the total revenue is 2200 * 700 = $1,540,000. At a price of $1900, the company sells 750 TVs, so the total revenue is 1900 * 750 = $1,425,000.

The total cost consists of fixed costs and variable costs. The variable cost is the cost to produce each TV multiplied by the number of TVs sold. The fixed costs are constant regardless of the number of TVs sold. The variable cost is $1200 per TV. At a price of $2200, the variable cost for 700 TVs is 1200 * 700 = $840,000. At a price of $1900, the variable cost for 750 TVs is 1200 * 750 = $900,000.

Therefore, the total cost at a price of $2200 is 493,000 + 840,000 = $1,333,000, and the total cost at a price of $1900 is 493,000 + 900,000 = $1,393,000.

Since marginal profit is $0, the total revenue is equal to the total cost. Thus, the company's profits are $1,540,000 - $1,333,000 = $207,000 at a price of $2200, and $1,425,000 - $1,393,000 = $32,000 at a price of $1900.

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Answer:

The answer is

[ X ][  Y ]

[ 1  ][   7 ]

[ 2 ][   9 ]

[ 5 ][  15 ]

[ 7  ][  19 ]

Brainiest please and lot of likes:)

Answer:

D

Step-by-step explanation:

8.4 minus 3 equals 5.4

10¹⁰ minus 10⁷ is 10³

Answer:

The correct answer is 2.8 x 10^3

Step-by-step explanation:

I Hope this helps.

The required value of the expression is 10.21.

BODMAS is an acronym that stands for Brackets, Orders (exponents), Division, Multiplication, Addition, and Subtraction. It is a mathematical rule used to determine the order of operations to solve mathematical expressions or equations.

The order of operations is essential to ensure that everyone obtains the same answer when solving mathematical problems. Without following a set order, different people could interpret the same expression in different ways, which can lead to incorrect answers.

The BODMAS rule tells us to perform calculations in the following order:

\(6.3 \times 15 \div 3 + 6.8 - 28.09 \\\\= (6.3 \times 15) \div 3 + 6.8 - 28.09 \\\\= 94.5 \div 3 + 6.8 - 28.09 \\\\= 31.5 + 6.8 - 28.09 \\\\= 10.21 \end{aligned}\)

Therefore, the value of the expression is 10.21.

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I'm sorry, but it is not possible to get a value of 46.25 by manipulating the given expression using standard arithmetic operations (+, -, ×, ÷). The expression evaluates to 10.21, which is a completely different value.

If you need to get a result of 46.25, you would need to modify the expression by adding or subtracting terms. For example, one possible expression that evaluates to 46.25 is:

(6.3 × 15 + 3) ÷ 3 + 6.8 - 28.09

This expression first multiplies 6.3 by 15 and adds 3 to obtain 96. Then it divides 96 by 3 to get 32. Finally, it adds 6.8 and subtracts 28.09 to obtain the final result of 46.25.

However, it is important to note that this modified expression is not equivalent to the original expression and involves additional terms.

Answer:

y

2

​

=−

2

z

​

+7

Steps for Solving Linear Equation

z=18−2×2−2y2

Multiply 2 and 2 to get 4.

z=18−4−2y

2

​

Subtract 4 from 18 to get 14.

z=14−2y

2

​

Swap sides so that all variable terms are on the left hand side.

14−2y

2

​

=z

Subtract 14 from both sides.

−2y

2

​

=z−14

Divide both sides by −2.

−2

−2y

2

​

​

=

−2

z−14

​

Dividing by −2 undoes the multiplication by −2.

y

2

​

=

−2

z−14

​

Divide z−14 by −2.

y

2

​

=−

2

z

​

+7

Step-by-step explanation:

the given equation defines a paraboloid that lies below the plane z=0. Specifically, it is situated above the xy-plane, which means that the z-values of all points on the surface are greater than or equal to zero.

we can break down the equation z=18-2x^2-2y^2. This equation represents a paraboloid with its vertex at (0,0,18) and axis of symmetry along the z-axis. The first term 18 is the z-coordinate of the vertex and the last two terms -2x^2 and -2y^2 determine the shape of the paraboloid.

Since the coefficient of x^2 and y^2 terms are negative, the paraboloid is downward facing and opens along the negative z-axis. Therefore, all points on the paraboloid have z-values less than 18. Additionally, since the paraboloid is situated above the xy-plane, its z-values are greater than or equal to zero.

the paraboloid defined by the equation z=18-2x^2-2y^2 is situated below the plane z=0 and above the xy-plane. Its vertex is at (0,0,18) and it opens along the negative z-axis.

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Answer:

Step-by-step explanation:

Given:

Work:

Hence, the solution of the expression is 19.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

19

Step-by-step explanation:

7 + q (r − 8) 2

7 + q (10 - 8) 2

7 + q * 2  * 2

7 + 3 * 2 * 2

7 + 6 * 2

7 + 12

19

The correct option is OA. y+4= -3(x-3). L 4.6.3 Test (CST): Linear Equations Solution: We are given that a line passes through (3,-4) and has a slope of -3.

We will use point slope form of line to obtain the equation of liney - y1 = m(x - x1).

Plugging in the values, we get,y - (-4) = -3(x - 3).

Simplifying the above expression, we get y + 4 = -3x + 9y = -3x + 9 - 4y = -3x + 5y = -3x + 5.

This equation is in slope intercept form of line where slope is -3 and y-intercept is 5.The above equation is not matching with any of the options given.

Let's try to put the equation in standard form of line,ax + by = c=> 3x + y = 5

Multiplying all the terms by -1,-3x - y = -5

We observe that option (A) satisfies the above equation of line, therefore correct option is OA. y+4= -3(x-3).

Thus, the correct option is OA. y+4= -3(x-3).

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Answer:

D)45,90 90 this is the answer

Answer:

C) 30, 60, 90

Step-by-step explanation:

all three angles must add up to 180

a. The probability of getting 3 on both dice is 1/36.

b. The probability of each sample point is 1/36.

c. The probability of getting a sum of 7 is 6/36 or 1/6.

d. The probability of getting at least one 5 is 11/36.

e. The probability of getting a sum of 10 or more is 6/36 or 1/6.

a. The sample space for tossing two fair dice can be listed as follows:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

b. Since the dice are fair, each outcome is equally likely.

Therefore, the probability of each sample point is 1/36.

a. The event of getting 3 on both dice can only happen in one way, that is, (3,3).

Therefore, the probability of getting 3 on both dice is 1/36.

b. For the sum of the numbers to be even, either both dice must be odd or both must be even.

There are 3 odd numbers (1, 3, 5) and 3 even numbers (2, 4, 6) on a die. Thus, there are 3 x 3 = 9 ways to get an even sum.

The probability of getting an even sum is therefore 9/36 or 1/4.

c. To get a sum of 7, the following combinations are possible: (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1).

Therefore, there are 6 ways to get a sum of 7.

Thus, the probability of getting a sum of 7 is 6/36 or 1/6.

d. To get at least one 5, we can either get a 5 on the first die or the second die or both.

There are two ways to get a 5 on one die and one way to get a 5 on both dice.

Thus, the probability of getting at least one 5 is 11/36.

e. There are several ways to get a sum of 10 or more: (4,6), (5,5), (5,6), (6,4), (6,5), and (6,6).

Therefore, there are 6 ways to get a sum of 10 or more.

Thus, the probability of getting a sum of 10 or more is 6/36 or 1/6.

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Answer:

your english is very bad

Step-by-step explanation:

PLEASE GIVE BRAINLIEST!

I hope this helped :)

Answer:

y = -5x - 2

Step-by-step explanation:

Two lines are parallel if they have the same slope. The given line has a slope of -5, so the line we want to find will also have a slope of -5.

Using the point-slope formula:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the given point, we have:

y - (-32) = -5(x - 6)

Simplifying:y + 32 = -5x + 30y = -5x - 2

Therefore, the equation of the line that passes through the point

(6, -32) and is parallel to the line y = -5x - 3 is y = -5x - 2.

Answer:

Step-by-step explanation:

when trying to find the parallel line the slope is the same.

-32 = -36 + b

+36   +36

4 = b

and now you have the equation of the parallel line which is y = -5x + 4

The correct answer is a box numbered x can contain a box numbered y if capacity[x] is divisible by capacity[y]. The containment relationships can be determined based on this criterion.

In the given scenario, Amazon ships several parcels each day to multiple locations, and the dispatch center has conveyor belts where the parcel boxes are placed. The boxes in the center are numbered from 0 to (n - 1), and the capacity of each box is denoted by capacity[i]. A box numbered x can contain a box numbered y if the capacity[x] is divisible by capacity[y].

To better understand the situation, let's consider an example. Suppose we have 5 boxes numbered from 0 to 4, and their respective capacities are as follows:

capacity[0] = 10

capacity[1] = 20

capacity[2] = 5

capacity[3] = 2

capacity[4] = 1

Based on the given conditions, the box numbered 0 can contain any other box since any number is divisible by 1. The box numbered 1 can contain boxes 0 and 2, as 20 is divisible by 10 and 5. The box numbered 2 can contain only box 4 since 5 is divisible by 1. The box numbered 3 can contain only box 4 as 2 is divisible by 1. Finally, the box numbered 4 cannot contain any other box since it has the smallest capacity.

So, in this case, the possible containment relationships are as follows:

0 can contain: 1, 2, 3, 4

1 can contain: 0, 2

2 can contain: 4

3 can contain: 4

4 cannot contain any other box

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The kite is about 16.5 yards above the edge of the pond.

You are flying a dragon kite. It's connected to 36 yards string. The kite is directly above the end of the pond. The edge of the pond is 32 yards where the kite is tied to the ground.

Therefore, the height of the kite above the ground can be calculated as follows:

This situation form a right angle triangle. Hence, using Pythagoras's theorem,

Therefore,

h² = 36² - 32²

h² = 1296 - 1024

h = √272

h = 16.4924225025

Hence, the height of the kite is 16.5 yards.

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Answer:

width equals fifteen times one hundred sixty five

is that right or is that ok or good enough?? sorry if i am wrong....

Answer:

W = 2475

Step-by-step explanation:

I am not sure if you want the answer or not but I hope this helps

The accepting state will be state 0 since it represents even numbers in base-3. The NFA can transition to both states at the beginning, but it only needs to be in the accepting state at the end to accept an even number.

a) DFA for {strings in which the number of even digits is odd}:

The DFA will have two states: an even state and an odd state. The initial state will be the even state. When the DFA reads an odd digit (1 or 3), it will transition to the other state. When it reads an even digit (0 or 2), it will stay in the same state. The accepting state will be the odd state. This DFA will accept strings in which the number of even digits is odd.

b) DFA for {strings, when interpreted as a base-3 number, are even numbers}:

The DFA will have three states: state 0, state 1, and state 2. The initial state will be state 0. When the DFA reads a digit, it will transition to the state corresponding to that digit. For example, if it reads a 0, it will transition to state 0; if it reads a 1, it will transition to state 1, and if it reads a 2, it will transition to state 2. The accepting state will be state 0 since it represents even numbers in base-3.

c) DFA for {strings, when interpreted as a base-3 number, are even numbers having an odd number of even digits}:

This DFA will have three states: state 0, state 1, and state 2. The initial state will be state 0. When the DFA reads a digit, it will transition to the state corresponding to that digit. Similar to the previous DFA, the accepting state will be state 0. However, we need to keep track of the number of even digits. To achieve this, we can introduce a counter. Every time the DFA transitions to state 2, representing an even digit, the counter will be incremented. If the counter becomes odd, the DFA will transition to state 1. In state 1, it will accept only odd numbers of even digits.

d) DFA for {strings, when interpreted as a base-3 number, are not an even number}:

This DFA will have three states: state 0, state 1, and state 2. The initial state will be state 0. When the DFA reads a digit, it will transition to the state corresponding to that digit. The accepting state will be state 1 and state 2 since these states represent odd numbers in base-3.

e) NFA for {strings, when interpreted as a base-3 number, is an even number}:

The NFA will have two states: state 0 and state 1. The initial state will be state 0. When the NFA reads an odd digit (1 or 2), it will transition to both state 0 and state 1. When it reads an even digit (0), it will stay in the same state. The accepting state will be state 0 since it represents even numbers in base-3. The NFA can transition to both states at the beginning, but it only needs to be in the accepting state at the end to accept an even number.

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a) Histogram is attached. b) Mean is 75.8, median is 78.5, mode is 57, Standard Deviation is 15.56. c) Five- line summary is Minimum: 45, Q1: 66, Median: 78.5, Q3: 87, Maximum: 102.

a. To create a histogram for the given data, we need to divide the range of scores into intervals (bins) and count the frequency of scores falling within each interval.

Scores    Frequency

40-50       |

50-60       |||

60-70       ||||||||

70-80       |||||

80-90       |||||

90-100      ||||||

100-110     |

b) Calculate the mean:

To find the mean, we sum up all the test scores and divide by the total number of scores.

Mean = (56 + 69 + 76 + 84 + 102 + 69 + 78 + 92 + 79 + 80 + 66 + 78 + 90 + 99 + 45 + 76 + 77 + 80 + 57 + 57 + 85 + 88 + 55 + 86 + 99 + 97 + 87 + 75 + 65 + 70) / 30

Mean = 2274 / 30

Mean = 75.8

Therefore, the mean of the test scores is 75.8.

Calculate the median:

To find the median, we need to arrange the scores in ascending order and then determine the middle value.

Arranging the scores in ascending order: 45, 55, 56, 57, 57, 65, 66, 69, 69, 70, 75, 76, 76, 77, 78, 78, 79, 80, 80, 84, 85, 86, 87, 88, 90, 92, 97, 99, 99, 102

Since we have 30 scores, the median will be the average of the 15th and 16th values, which are 78 and 79.

Median = (78 + 79) / 2

Median = 78.5

Therefore, the median of the test scores is 78.5.

Calculate the mode:

The mode is the value(s) that appear(s) most frequently in the data set.

The mode of the given test scores is 57 because it appears twice, which is more frequently than any other value.

Therefore, the mode of the test scores is 57.

Calculate the standard deviation:

The standard deviation measures the spread of the data around the mean.

To calculate the standard deviation, we can use the following formula:

Standard Deviation = \(\sqrt{(xi-mean)^{2}/n }\)

Where xi represents the sum, xi is each individual score, mean is the mean we calculated earlier, and n is the total number of scores.

Using this formula, we can calculate the standard deviation as follows:

Standard Deviation = \(\sqrt{((56-75.8)^{2}+(69-75.8)^{2}........+(70-75.8)^{2})/30}\)

After calculating all the differences and summing them up, we divide by 30 and take the square root.

Standard Deviation ≈ 15.56

Therefore, the standard deviation of the test scores is approximately 15.56.

c) Calculate the five-number summary and draw a boxplot:

The five-number summary consists of the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum values of the data set.

Minimum: 45

Q1: 66

Median: 78.5

Q3: 87

Maximum: 102

To draw a boxplot, we use these five values. The box represents the interquartile range (Q3 - Q1), with a line inside representing the median. The whiskers extend to the minimum and maximum values.

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Answer:

√(x + 4) - 3 = 0 is x = 5.

Step-by-step explanation:

To solve the equation √(x + 4) - 3 = 0, we can follow these steps:

Step 1: Add 3 to both sides of the equation to isolate the square root term:

√(x + 4) = 3

Step 2: Square both sides of the equation to eliminate the square root:

(√(x + 4))^2 = 3^2

Simplifying:

x + 4 = 9

Step 3: Subtract 4 from both sides of the equation to isolate the variable x:

x = 9 - 4

Simplifying:

x = 5

Thus, the solution to the equation √(x + 4) - 3 = 0 is x = 5.

Type I error is formed when she concludes the town's unemployment rate is not 9% when it actually is, which is an option (a).

Given that:

A large nationwide poll recently showed an unemployment rate of 9% in the US.

The mayor of a local town wonders if this national result holds true for her town, so she plans on taking a sample of her residents to see if the unemployment rate is significantly different than 9% in her town.

Here the null hypothesis is taken as that the unemployment rate is 9%, whereas the alternative hypothesis is that it is not 9%.

Type I error is the error formed when the null hypothesis is rejected, but the hypothesis is actually true.

So, here the conclusion is that the unemployment rate is not 9%, but it actually is 9%.

Hence, the correct option is (a).

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Measure of angle 4 + measure of angle 5 + measure of angle 6 = 360°

The correct answer is an option (d)

Here, the exterior angle to angle 1 is 4.

We can observe that angle 1 and angle 4 are linear angles.

So, ∠1 + ∠4 = 180°           .......(1)          

Similarly angle 5 is an exterior angle to 5,

⇒ ∠2 + ∠5 = 180°       ..............(2)

And the exterior angle to angle 3 is 6.

⇒ ∠3 + ∠5 = 180°        ...........(3)

Consider the sum  Measure of angle 4 + measure of angle 5 + measure of angle 6:

= m∠4 + m∠5 + m∠6

= 180° -  m∠1 + 180° -  m∠2 +  180° - m∠3            .....(from (1), (2) and (3))

= 540° - ( m∠1 +  m∠2 +  m∠3)

= 540° - 180°                                   ........(sum of all angles of triangle is 180°)

= 360°

Therefore, the required sum = 360°

The correct answer is an option (d)

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The complete question is:

What is Measure of angle 4 + measure of angle 5 + measure of angle 6?A triangle has angles 1, 2, 3. The exterior angle to angle 1 is 4, to angle 2 is 5, to angle 3 is 6.

a) 180°

b) 270°

c) 300°

d) 360°

Answer:

y = -300x

Step-by-step explanation:

The y-intercept passes through 0, in this case, we don't have to include the y intercept to the equation. The slope is -300, or vertical/horizontal (rise/run, the formula for finding slope <<) We just include the slope if there is no y intercept. So, y = -300x is the equation!

Answer:

3/4 miles

Step-by-step explanation:

3 1/4 as a mixed fraction => 13/4

2 2/4 as a mixed fraction => 10/4

13/4 - 10/4 = 3/4

She rode 3/4 miles more on Monday than Tuesday.

Answer:

Step-by-step explanation:

nbhbhbnnmnmnjn

There will be 221 highway signs on the road trip.

What is Total Length?

Whole Length (TL) is the measurement taken in a straight line, with the fish lying on its side, from the tip of the snout to the end of the tail (caudal fin).

The total length of the road trip is 13.2 hours.

Highway signs are posted every 0.06 hours. To find out how many highway signs are on the road trip, we can divide the total length of the road trip by the interval between each sign and then add one more sign for the end of the road trip:

(number of signs) = (total length of road trip) / (interval between signs) + 1

Substituting the values, we get:

(number of signs) = 13.2 / 0.06 + 1

(number of signs) = 220 + 1

(number of signs) = 221

Therefore, there will be 221 highway signs on the road trip.

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The next three letters in the sequence J F M A M J J A are S, O, N.

To find the next three letters in the sequence J F M A M J J A, we need to identify the pattern or rule that governs the sequence. In this case, the sequence follows the pattern of the first letter of each month in the year.

The sequence starts with 'J' for January, followed by 'F' for February, 'M' for March, 'A' for April, 'M' for May, 'J' for June, 'J' for July, and 'A' for August. The pattern repeats itself every 12 months.

Therefore, the next three letters in the sequence would be 'S' for September, 'O' for October, and 'N' for November.

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The next three letters in the sequence "J F M A M J J A" are "S O N", indicating the months of September, October, and November.

The given sequence "J F M A M J J A" represents the first letters of the months in a year, starting from January (J) and ending with August (A). To find the next three letters in the sequence, we need to continue the pattern by considering the remaining months.

The next month after August is September, so the next letter in the sequence is "S". After September comes October, represented by the letter "O". Finally, the month following October is November, which can be represented by the letter "N".

Therefore, the next three letters in the sequence "J F M A M J J A" are "S O N", indicating the months of September, October, and November.

It is important to note that the given sequence follows the pattern of the months in the Gregorian calendar. However, different cultures and calendars may have different sequences or names for the months.

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Answer:

<AEB = 51.2

Step-by-step explanation:

Remark

A straight line has a degree value of 180. There are 3 angles. One of them is 90. The other two must add to 90

Equation

2.7x + 8 + 3.8x - 22 = 90      combine like terms on the left.

6.5x - 14 = 90                        add 14 to both sides

6.5x = 90 + 14

6.5x = 104                              Divide by 6.5

x = 104/6.5

x = 16

<AEB = 2.7*16 + 8

<AEB = 51.2

Answer:

9 hours

Step-by-step explanation:

Answer:

\(\huge\color{skyblue}\boxed{\colorbox{black}{Answer ☘}}\)

number of hours in a day = 24

according to scientists ,

we should sleep number of hours = 3/8

therefore ,

\( \frac{3}{8} \: of \: 24 \: hours = \frac{3}{8} \times 24 \\ = > 9 \: hours\)

hope helpful~

Answer:

15 choose 2 = 105

\(=\frac{15!}{2!\left(15-2\right)!}\)

Step-by-step explanation: