Which vertex will result in the maximum value of the function T = x – 3y?

Answer:

Step-by-step explanation:

4x+20=0

4x=-20

x=,-5

Answer:

i got (-5,0) .............

Step-by-step explanation:

The set of all such points is a sphere center c = ( 23/3 , 19/3 , 3 ) r = 2√83/9

what is the sphere?

The standard form of the equation of a sphere with center (a ,b ,c) and radius r is

( x -a)² + ( y-b)² + ( z - c)² = r²

We let P = ( x, y,z ) be an arbitrary point which satisfies the given conditions. Then

\(\sqrt{(x - 1)^{2} + ( y - 5)^{2} + (z - 3)^{2} } = 2 \sqrt({x - 6)^{2} + ( y - 2 )^{2} +( z - 3)^{2} }\)

Squaring both sides of this equation and simplifying yields

( x - 1)² + ( y - 5)² + ( z -3)² = 4 [ (x - 6)² + ( y- 6 )² + ( z - 3)²

( 3x² - 46x + 143 ) + ( 3y² - 38y + 119 ) + ( 3z² - 18z + 27 ) = 0

Next, we complete the square for each variable to obtain

( x - 23/3)²  + ( y - 19/3)² + ( z - 3 )² = 332/9

Thus the set of all such points P forms a sphere, with

center c = ( 23/3 , 19/3 , 3 ) r = 2√83/9

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Brandon is currently 6 81 years old.

Let M be Michael's age and B be Brandon's age.

We are given that Michael is 3 33 times as old as Brandon. This means that M = 3 33 × B

We are also given that 18 1818 years ago, Michael was 9 99 times as old as Brandon. This means that M - 18 1818 = 9 99 × (B - 18 1818).

We can combine these two equations to solve for Brandon's current age:

3 33 × B = (9 99 × B) + 18 1818

2 66 × B = 18 1818

B = 18 1818 / 2 66 = 6 81.

Therefore, Brandon is currently 6 81 years old.

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The butterfly spread is constructed using the following three calls: - Buy 1 call with an exercise price of 120 at a price of $15.40.- Sell 2 calls with an exercise price of 125 at a price of $13.50 each.- Buy 1 call with an exercise price of 130 at a price of $11.35.


A butterfly spread involves buying one option with a lower exercise price, selling two options with a middle exercise price, and buying one option with a higher exercise price. In this case, we buy the call with an exercise price of 120, sell two calls with an exercise price of 125, and buy the call with an exercise price of 130.

To analyze the strategy, we need to consider the stock price at expiration. The breakeven stock prices are calculated by adding and subtracting the net debit or credit from the middle exercise price. In this case, the net debit is $1.60 ($15.40 – 2*$13.50 + $11.35), so the breakeven prices are $121.40 ($125 - $1.60) and $128.60 ($125 + $1.60).

The maximum profit of $1.60 occurs when the stock price is exactly at the middle exercise price of 125 at expiration. In this case, the two sold calls expire worthless, and the two bought calls have intrinsic value of $5 each. The minimum profit of -$1.40 occurs when the stock price is below $121.40 or above $128.60 at expiration. In this situation, all the options expire worthless, resulting in a loss of the net debit.

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Answer:

Step-by-step explanation:

(-3, 2) and (2, -3)

(-3 - 2)/(2 + 3) = -5/5 = -1

answer is b

(1) The proportion of focal propensity Generally impacted by exceptions Mean and Median. (2) The median is the central tendency measurement that is least affected by outliers. Median.

Q1) The proportion of focal propensity Generally impacted by exceptions are the mean and middle.

Extreme values that are very different from the other data values in a set are known as outliers. The position and slope of the regression line can be significantly altered by an outlier, which can be an influential point. The mean, median, and mode are the measures of central tendency. The mode is the value that appears most frequently, the mean is the arithmetic average, and the median is the middle value of a dataset.

Outliers have the greatest impact on the mean, which is the most common central tendency measurement. A solitary outrageous worth can significantly influence the mean. When outliers are present in the data set, the median provides a more accurate measure of central tendency.

As a result, the response is Mean and Median.

Q2: The median is the central tendency measurement that is least affected by outliers.

A dataset's median value is its middle value. While the median is less affected, outliers can have a significant impact on the mean. Subsequently, the middle is viewed as the better proportion of focal inclination when the informational collection incorporates exceptions.

As a result, the response is Median.

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22+33+44+55+66+77+88=385

Step-by-step explanation:

So therefore we start from 22 to 88

Answer:

60%

Step-by-step explanation:

Answer: 62,110 Gallons left of icecream after his friend ate 7320 Gallons

NOT ENOUGH INFO TO PROVE HOW MUCH FRIEND HAS ENJOYED

Step-by-step explanation:

To find out how much icecream is left do

Therefore there is 62,110 gallons left of icecream

To find out how much icecream his friend has ate

Therefore his friend has ate

7320 Gallons

To check whether the lines are perpendicular or parallel, we will use the following rules:

1) For parallel lines, the slopes are equal.

2) For perpendicular lines, the product of the slopes is equal to -1.

Slope of line AB:

Using

The slope is given as

Slope of line CD:

Using

The slope is given as

Comparing both slopes, we can observe that

Therefore, both lines are PERPENDICULAR.

Jamie can text 11,702 words in 15 minutes found using the Cross-multiply method, found using the concept of proportions.

To find how many words can Jamie text in 15 minutes, we can use the concept of proportions. Here are the four possible proportions we can use to solve the problem:

1. Let's assume that x is the number of words Jamie can text in 15 minutes.

So, the proportion can be set up as:

312 words / 4 minutes = x words / 15 minutes

Cross-multiply the proportion to solve for x, we have:

312 × 15 = 4 × x

x = (312 × 15) / 4

= 1170

2. Let's assume that y is the number of minutes required by Jamie to text 312 words.

So, the proportion can be set up as:

y minutes / 312 words = 4 minutes / 1 word

Cross-multiply the proportion to solve for y, we have:

y = (312 × 4) / 1

= 1248

3. Let's assume that z is the number of minutes required by Jamie to text x words.

So, the proportion can be set up as:

312 words / 4 minutes = x words / z minutes

Cross-multiply the proportion to solve for z, we have:

312 × z = 4 × x

x = (312 / 4) × z = 78

z = 78 / x

4. Let's assume that w is the number of words Jamie can text in 1 minute. So, the proportion can be set up as:

312 words / 4 minutes = w words / 1 minute

Cross-multiply the proportion to solve for w, we have:

312 = 4w

w = 78

Therefore, Jamie can text 11,702 words in 15 minutes.

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Jamie can text 1170 words in 15 minutes.

To find out how many words Jamie can text in 15 minutes, we can set up a proportion using the given information.
The proportion can be set up as follows:
312 words / 4 minutes = x words / 15 minutes
To solve this proportion, we can cross-multiply and then solve for x.
(312 words) * (15 minutes) = (4 minutes) * x words
4680 words = 4x
To isolate x, we can divide both sides of the equation by 4:
4680 words / 4 = 4x / 4
1170 words = x

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Answer:

= $0.90 per bottle

Step-by-step explanation:

6 bottles of different milks cost $5.40 in all. calculate the average price of a bottle (in $/ unit):

to find  $/unit:

= $/number of bottles

= 5.40/6

= $0.90 per bottle

Answer:

156

Step-by-step explanation:

Answer: -2

Step-by-step explanation:

See attached picture

Answer:

- 17

Step-by-step explanation:

Step 1:

f ( x ) = 4x + 3      Function

Step 2:

f ( x ) = 4 ( - 5 ) + 3     input x

Step 3:

f ( x ) = - 20 + 3       Multiply

Answer:

f ( x ) = - 17

Hope This Helps :)

The five values for a data set are: minimum = 0 lower quartile = 2 median = 3. 5 upper quartile = 5 maximum = 10 Bruno created the box plot using the five values. Bruno made error. The left whisker should go from 0 to 2.

Quartiles is a type of quartile that divides data into four parts with approximately the same number. The first quartile or lower quartile (Q1) is the middle value between the smallest value and the median of the data group. The first quartile is a marker that the data in that quartile is 25% below the data group.

The second quartile (Q2) is the median data which marks 50% of the data (dividing the data in half). The third or upper quartile (Q3) is the middle value between the median and the highest value of the data set. The third quartile is a marker that the data in that quartile is 75% below the data group. Quartiles are a form of an ordered statistic because to determine quartiles, data needs to be sorted from smallest to largest value first.

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Answer:2

Step-by-step explanation:

Answer:

Primary data when the researcher collect the information like census by government . And secondary data means when like an entrepreneur take the census data from the government and collect more information .

Answer:

Shift right by 4

Step-by-step explanation:

Given f(x)=x^2

g(x)= x^2-8x+16

Using

Horizontal Shift theorem dealing with the question

If the graph were to be move to to the right, we must use of graph f (x-L)

Where L= 4 and

NOTE:

POSITIVE L MAKES GRAPH SHIFT RIGHT

2) NEGATIVE MAKES GRAPH SHIFT LEFT

g(x)= x^2-8x+16

If we factorize this we have

(x-4)(x-4)

Since the two terms are the same we have (x-4)^2

Then it can move by factor of 4 to the right since constant 4 can be substracted from the parents function

Answer:

Left by 4

Step-by-step explanation:

graph x^2 and x^2 − 8x + 16 on Desmos . com

you start at f(x) and end at g(x)

The second option shows a pair of triangles which are congruent by the SSS congruence theorem.

The SSS (Side - Side - Side) congruence theorem states that if two triangles have three sides that are congruent to each other, then the two triangles are congruent by the SSS theorem.

The congruent sides for the second option are given as follows:

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Answer:

Here are the correct answers:

B. gram

C. milligram

From the calculated test statistic, -2.86 which is less than the critical value, we have to reject the null hypothesis.

To test the claim that the Boston Bottling Company is cheating consumers, we can perform a hypothesis test using the given sample data.

Let's set up the null and alternative hypotheses:

Null hypothesis (H₀): The mean content of the cans is equal to 12 oz.

Alternative hypothesis (H₁): The mean content of the cans is less than 12 oz.

We will use a one-sample t-test since we have a sample mean and want to compare it to a population mean.

Given the sample mean (x) of 11.80 oz, the sample standard deviation (s) of 0.42 oz, and a sample size (n) of 36, we can calculate the t-statistic using the formula:

t = (x - μ) / (s /√(n))

Where:

Plugging in the values, we have:

t = (11.80 - 12) / (0.42 / √(36))

t = -0.20 / (0.42 / 6)

t = -2.86

Next, we need to determine the critical value for the test based on the significance level (α = 0.01) and the degrees of freedom (df = n - 1 = 36 - 1 = 35).

Using a t-table or statistical software, we find that the critical value for a one-tailed t-test with α = 0.01 and df = 35 is approximately -2.428.

Since the calculated t-statistic (-2.86) is less than the critical value (-2.428), we have sufficient evidence to reject the null hypothesis.

Therefore, based on the given data and a significance level of 0.01, we can conclude that there is evidence to support the claim that the Boston Bottling Company is cheating consumers by providing cans with less than 12 oz of cola.

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Answer:

the answer is: A

because deduce means to arrive at a fact or conclusion by reasoning.

also because the correct word you would use In option A is reduce.

Answer:

\(p=\frac{16}{9}\)

Step-by-step explanation:

\(6(3p-2)=20\)

Distribute the brackets.

\(6(3p)+6(-2)=20\)

\(18p-12=20\)

Add \(12\) on both sides.

\(18p-12+12=20+12\)

\(18p=20+12\)

\(18p=32\)

Divide \(18\) on both sides.

\(\frac{18p}{18}=\frac{32}{18}\)

\(p=\frac{16}{9}\)

Answer:

\(p = \frac{16}{9} \\ \)

Step-by-step explanation:

\(6(3p - 2) = 20 \\ 18p - 12 = 20 \\ 18p = 32 \\ \frac{18p}{18} = \frac{32}{18} \\ p = \frac{16}{9} \)

Answer:

m+12

Step-by-step explanation:

m+12

The value of x in the coordinates (-12,1) and (x,7), having a slope of 1/8 is 36.

Slope is simply expressed as change in y over the change in x.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Given that;

Point 1 (-12,1)

Point 2 (x,7)

Slope m = 1/8

Plug the values into the slope formula and solve for x.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

1/8 = ( 7 - 1 )/( x - (-12) )

1/8 = ( 6 )/( x + 12)

Cross multiply

( x + 12) = 6 × 8

x + 12 = 48

x + 12 - 12 = 48 - 12

x = 36

Therefore, the value of x is 36.

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Total sales = $450*40= $18000

Commision = 18000*0.025 = $450

--------------------------------------------------------------------------------------

Total earnings = 30000 + commision

comission = 4*175000*0.13 = 91000

Total earnings = 30000+91000 = $121000

According to the output analysis, the model presented above is of Discrete-event simulation (DES) type.

What is Discrete-event simulation (DES)?

Discrete-event simulation (DES) is indeed a type of computer-based simulation where events occur at specific points in time. In DES, a system's behavior is modeled by specifying the sequence of events that occur during the system's lifespan.

In a discrete-event simulation, the state of the system changes only when events occur, rather than continuously evolving over time. Events represent significant occurrences or activities within the system, such as customer arrivals, service completions, or resource allocations. Each event is associated with a specific time or occurrence point, and the simulation progresses by processing events in chronological order.

DES is particularly useful for modeling complex systems where the timing of events and their interactions play a crucial role. It allows for capturing the dynamic nature of the system, simulating the flow of entities (such as customers, vehicles, or messages) through the system, and observing the effects of event sequencing and resource allocation on system performance.

By simulating the system and observing the events and their consequences, DES enables analysts to evaluate different scenarios, study the impact of various parameters, and optimize system design or operation. It provides insights into system performance measures, such as throughput, waiting times, resource utilization, or customer satisfaction.

Overall, discrete-event simulation is a powerful technique for modeling and analyzing complex systems with discrete changes, events, and interactions over time.

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The model above is known as a discrete-event simulation model according to the output analysis.

A discrete event simulation is a type of computer-based modeling where a series of discrete events in a system are simulated.

In such models, the system under consideration evolves through a series of discrete events that are instantaneous.

For example, in the retail establishment model, each customer arriving at the store would be considered a separate, discrete event.

The simulation would model the sequence of events that occur between the time the store opens at 9 am and when the last customer leaves before closing time at 5 pm.

The objective of the simulation would be to estimate some measure of the quality of customer service during this time period.

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