find the slope of the line between the following two points (-5,-1), (-1,9)

respond quick please :)

The correct option is B• "The LP has multiple optimal solutions". Because  feasible region, intersects with the objective function in multiple points.

The given linear programming (LP) problem consists of two constraints and two decision variables, x1 and x2. The objective function to be minimized is x1 + 2x2.

To determine the nature of the LP problem, we need to analyze its feasible region and objective function.

The first constraint, x1 + x2 ≤ 4, defines a region in the xy-plane that lies below the line x1 + x2 = 4. The second constraint, x1 - x2 ≥ 5, defines a region that lies to the right of the line x1 - x2 = 5. The feasible region is the intersection of these two regions.

By analyzing the feasible region, we can determine the potential optimal solutions. Since the feasible region is a bounded region, there are finite points within it. The objective function, x1 + 2x2, represents a straight line in the xy-plane with a positive slope. As long as this line intersects the feasible region, there will be multiple points of intersection, each representing a potential optimal solution.

Therefore, the LP problem has multiple optimal solutions because there are multiple points of intersection between the objective function and the feasible region.

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Answer:

x=3y-29/y-8

Step-by-step explanation:

3(y-10)+1=x(y-8)

xy-8x=3y-29

x(y-8)=3y-29

/y-8        /y-8

x=3y-29/y-8

Product of multiplication of (2+√-25) and (4-√-100) is 58.

Complex numbers are the numbers that are expressed in the form of a+ib where, a,b are real numbers and 'i' is an imaginary number called “iota”. The value of i = (√-1).

For example, 6+7i is a complex number, where 6 is a real number and 7i is an imaginary number.

Given complex numbers

(2+√-25) and (4 -√-100)

√-25 = √(5² . -1) = 5√-1

i = √-1

√-25  = 5i

√-100 = √(10² . -1)

√-100 = 10i

Multiplying both numbers

(2+√-25) . (4 -√-100)

then

= (2 + 5i) . (4 - 10i)

Using FOIL method

(a + b)(c + d) = ac + ad + bc + bd

= 8 - 20i + 20i - 50i²

= 8 - 50i²

i² = -1

= 8 + 50

= 58

Hence, 58 is the product of multiplication of (2+√-25)(4-√-100)

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Answer:

I think its the last option , the pie squared over 16

Given data:

The number of hour Stacy studied maths is 2/6 hour.

The number of hour Stacy studied science is 3/6 hour.

The total number of hours Stacy studied in 5 days is,

Thus, the total number of hours Stacy studied in 5 days is 25/6 hours, so option (D) is correct.

3√64 × 2^-1

= 4 × 1/2

= 2

The answer is 2.

Please do mark me Brainliest

The ____The correct answer is c. double.________ data type is used to store any number that might have a fractional part.

the double data type is used to store any number that might have a fractional part, including decimal numbers and scientific notation numbers. It has a higher precision than the float data type, which can lead to more accurate . In conclusion, if you need to store numbers with decimal points, the double data type is the best option.
The correct answer is c. double.

The double data type is used to store any number that might have a fractional part, such as decimals and real numbers. In contrast, a string is used to store text, an int is used to store whole numbers, and a boolean is used to store true or false values.

To store a number with a fractional part, you should use the double data type.

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The completed statement with regards to the areas of the triangle and rectangle can be presented as follows;

The length of the triangle is 9 units. The width of the rectangle is 2 units. The area of the rectangle is 18 square units.

A triangle is a three sided polygon.

The area of the triangle can be found by forming a rectangle with the original triangle and the copy of the triangle rotated 180°, to combining with the original triangle to form a rectangle that is a composite figure consisting of two triangles

The length of the rectangle is 9 units

The width of the rectangle is 2 units

The area of the rectangle is; A = 9 × 2 = 18 square units

The rectangle is formed by two triangles, therefore, the area of the triangle is half of the area of the rectangle, which is; Area of triangle = 18/2 = 9 square units

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The equation of g(x) is given as follows:

\(g(x) = -\sqrt{x - 6} + 6\)

A translation happens when either a figure or a function are moved horizontally or vertically.

The four translation rules for functions are given as follows:

The first move was reflecting the parent function f(x) over the x-axis, hence:

g(x) = -f(x)

\(g(x) = -\sqrt{x}\)

Then the translations are given as follows:

Hence the function g(x) is defined as follows:

\(g(x) = -\sqrt{x - 6} + 6\)

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Answer:

Step-by-step explanation:

We are given that the factory produces  42,000  computer monitors per day

And the claim is of this amount produces fewer than 660 are defective.

a random sample shows that of 240 monitors 2 are defective

to verify the factory managers claim we need to know how many 240s are there in 42000

=42000/240= 175

Since each 240 will give 2 defective monitors

175 will give= 175*2= 350

350 is less than 660 hence the managers claim is correct

The total VA( volt-ampere ) that must be used in a service calculation for 50' show window is 125000VA.

A volt-ampere (SI symbol: VA or V A, abbreviated as VA) is the unit of perceived power in an electrical circuit. The apparent power is equal to the product of the root mean square voltage (in volts) and the root mean square current (in amperes). Volt-amperes are commonly used to analyze alternating current (AC) circuits. In direct current (DC) circuits, this product equals the real power in watts. The volt-ampere is dimensionally identical to the watt: 1 VA = 1 W in SI units).

The total VA that must be used in a service calculation for 50' show window is, Therefore, by using VA linear foot method,

200 VA per linear foot×50'=10000VA10000VA×1.25

=125000VA

Hence, the total VA that must be used in a service calculation for 50' shadow is 125000VA.

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Answer:

There are 7 handshakes.

Step-by-step explanation:

The profesor is shaking hands with 7 people, so there are 7 handshakes between them.

The number of handshakes that take place are  \(^nC_{k}\)= \(\frac{n!}{k!(n-k)!}$\)  i.e 28

In mathematics, permutation relates to the act of arranging all the members of a set into some sequence or order. The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter. The formula for permutation is nPr = (n!) / (n-r)! and combination formula is  nCr = n!/[r! (n-r)!]

Given here Prof. Anne Bishon has a meeting with 7 other academics, they all shake hands before sitting down thus

\(^8C_{2}\)   = \(\frac{8!}{2!(8-2)!}$\)

\(^8C_{2}\) = 28

Hence, The number of handshakes that takes place is equal to 28

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Let the initial intensity be I, then,

Here, x is the proportionality constant and d is the distance.

When the seat is changed o one that is thrice as far from the

speakers, we have the new intensity as,

Therefore, the new intensity in terms of the original intensity can be written as,

Thus, the required fraction is 1/9.

If MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.

The F statistic is calculated by dividing the variance between groups (MSbetween) by the variance within groups (MSwithin). Therefore, to increase the value of the F statistic, either the numerator (MSbetween) needs to increase, or the denominator (MSwithin) needs to decrease.

So, the answer is:

a. MSwithin > MSbetween

If the variance within groups (MSwithin) is reduced or the variance between groups (MSbetween) is increased, the F statistic will increase. Therefore, if MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.

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Answer:    A

Step-by-step explanation:

8,4 cause they in there intersect there

Answer:

x = 8

y = 21

Step-by-step explanation:

The angle (7x + 12)° and the angle (12x-28)° are alternate interior angles and so has got the same measurement

7x + 12 = 12x - 28

12 + 28 = 12x - 7x

40 = 5x divide both sides by 5

8 = x

The sum of angle (12x - 28)° and (9y - 77)° must be equal because they make a straight line with the measure of 180°

12x - 28 + 9y - 77 = 180 we already found the value of x as 8 so let's rewrite the equation

12 × 8 - 28 + 9y - 77 = 180

96 - 28 - 77 = 180 add like terms

9y - 9 = 180

9y = 189 divide both sides by 9

y = 21

Answer:

\(/x-2/=8\)

Step-by-step explanation:

\((-6+10)/2=2\)

Midpoint= 2

Distance from midpoint =8

\(/x-2/=8\)

Slash= Absolute Value Sign

Answer:

Below.

Step-by-step explanation:

The area = area of a rectangle on the same base and between the same parallel lines

= (15 + 6) * 8

= 21 * 8

= 168 yd^2.

Answer:

160

Step-by-step explanation:

First, you add 15 + 6 multiplied by 8.

Expression (15 + 6) x 8=?

First, add the expression in the prentice.

15 + 6= 21

Cut out the 10. Why? Because it says make it a triangle. If u did it the other

way it wouldn't make sense.

then multiply 21 and 8

that gives you 160

Answer:

(x+4)(3x-2)(x+1)

Step-by-step explanation:

The key to this problem is to write out the probabilities and determine which one is most likely and least likely (or impossible).

Drawing a black card from a standard deck of playing cards:

There are 52 cards in a playing deck, 26 are red and 26 are black.

\(\frac{26}{52}\) = \(\frac{1}{2}\)

A spinner has 5 equal sections numbered 1 through 5. You spin and land on a number less than or equal to 4.

This means that all the numbers (1, 2, 3, and 4) except 5.

\(\frac{4}{5}\)

You roll a standard number cube and get a number less than 2.

A standard cube is from 1 to 6, and 1 is the only number on the cube that is less than 2.

\(\frac{1}{6}\)

You roll two standard number cubes and the sum is 1.

The smallest number on a standard cube is 1, so you can't make the sum 1 with 2 dice.

0

If we put these in order, we get:

\(\frac{4}{5}\), \(\frac{1}{2}\), \(\frac{1}{6}\), 0

So, the order going from top to bottom in the picture is: 2, 1, 3, 4

The probability that the entire shipment will be kept by Dell even though the shipment has 10% defective microprocessors is approximately 0.5905. Hence the correct answer is (a) 0.5905.

To calculate the probability that the entire shipment will be kept by Dell even though the shipment has 10% defective microprocessors, we can use the concept of binomial probability.

Let's denote the probability of a microprocessor being defective as p = 0.10 (10% defective) and the number of microprocessors Dell tests as n = 5.

We want to calculate the probability that all five tested microprocessors are non-defective, which is equivalent to the probability of having zero defective microprocessors in the sample.

Using the binomial probability formula, the probability of getting exactly k successes (non-defective microprocessors) in n trials is:

\(\[P(X = k) = \binom{n}{k} \cdot p^k \cdot (1 - p)^{n - k}\]\)

For this case, we want to calculate P(X = 0), where X represents the number of defective microprocessors.

\(\[P(X = 0) = \binom{5}{0} \cdot 0.10^0 \cdot (1 - 0.10)^{5 - 0} \\= 1 \cdot 1 \cdot 0.9^5 \\\\approx 0.5905\]\)

Therefore, the correct answer is (a) 0.5905.

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The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.

To create a box and whisker plot for the given dataset {69, 88, 94, 73, 78, 90, 68}, follow these steps:

Step 1: Arrange the data in ascending order:

68, 69, 73, 78, 88, 90, 94

Step 2: Find the five-number summary:

Minimum: The smallest value in the dataset, which is 68.

First quartile (Q1): The median of the lower half of the dataset. In this case, it's the median of {68, 69, 73}, which is 69.

Median (Q2): The middle value of the dataset. In this case, it's 78.

Third quartile (Q3): The median of the upper half of the dataset. In this case, it's the median of {88, 90, 94}, which is 90.

Maximum: The largest value in the dataset, which is 94.

Step 3: Create the box and whisker plot:

Draw a number line with a range from the minimum (68) to the maximum (94).

Mark the first quartile (Q1) at 69.

Mark the median (Q2) at 78.

Mark the third quartile (Q3) at 90.

Draw a box from Q1 to Q3.

Draw a vertical line (whisker) from the box to the minimum (68) and another vertical line from the box to the maximum (94).

The resulting box and whisker plot for the given dataset would look like this:

  |

 94|                 ▄

  |                ╱ ╲

 90|              ╱   ╲

  |             ╱     ╲

 88|            ▇       ▂

  |            ▇       ▂

 78|            ▇       ▂

  |            ▇       ▂

 73|          ╱         ╲

  |         ╱           ╲

 69|        ▃             ▃

  |       ╱               ╲

 68|      ╱                 ╲

  |_________________________________

    68     73     78     88     94

This plot represents the distribution of the given dataset, showing the minimum, maximum, first quartile (Q1), median (Q2), and third quartile (Q3).

The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.

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The purchase value of transactions that separates the lowest-spending 10% of customers from the remaining customers is R266.80.

The purchase value of transactions, x, at a national clothing store such as Woolworth is normally distributed with a mean of R350 and a standard deviation of R65.

We need to determine the purchase value of transactions that separates the lowest-spending 10% of customers from the remaining customers. It is required to find the z-score for the given probability of 0.10.

The z-score represents the number of standard deviations a given value, x, is from the mean, μ. The formula for z-score is given as

z = (x - μ) / σ

Where,μ = 350

σ = 65

z = z-score

To find the z-score for a probability of 0.10, we use the standard normal distribution table.

From the standard normal distribution table, we find the z-score for a probability of 0.10 as -1.28 (rounded to two decimal places).

-1.28 = (x - 350) / 65

Multiplying both sides by 65, we get

-83.2 = x - 350

Adding 350 on both sides, we get

266.8 = x

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Consumer surplus $5 as we solve the Q by given data

Consumer surplus is the difference between the consumer's willingness to pay and the price of the commodity.

Consumer surplus in economics, also called social surplus or consumer surplus, is the difference between the price a consumer pays for a commodity and the price the consumer is willing to pay in exchange for giving it up.

Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.

Consumer Surplus = Willingness to Pay - Price of the Good.

Item Price = $35 - $10 = $25

$30 - $25 = $5

Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.

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Answer:

x=  5

Step-by-step explanation:

Your teacher should have explained it but give me points please

Answer:

1/4 i think..couse 3/4 - 1/2 = 1/4

Step-by-step explanation:

Given:-

7th term is 77 and 8th term is 231.

To find:-

The common ratio.

Now to find the common ratio we divide both the numbers. we get,

So the common difference is 3.

So the common ratio is 1/3.

Answer:

3

Step-by-step explanation:

Geometric sequence:

        \(\sf Common \ ratio = \dfrac{(n+1)^{th} \ term}{n^{th}}\)

                              \(\sf = \dfrac{8^{th} \ term}{7^{th} \ term}\\\\\\ =\dfrac{213}{77}\\\\\\=3\)

Answer:

D) 2

Step-by-step explanation:

Use the following slope formula:

m (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (4 , 1)

(x₂ , y₂) = (1 , -5)

Plug in the corresponding numbers to the corresponding variables:

m = (-5 - 1)/(1 - 4)

Simplify. Remember to follow PEMDAS. First subtract, then divide:

m = (-5 - 1)/(1 - 4)

m = (-6)/(-3)

m = 2

D) 2 is your answer.

~

50% of 60 minutes is 30 minutes

0.50 * 60 = 30

10% of 60 minutes is 6 minutes

0.10 * 60 = 6

75% of 60 minutes is 45 minutes

0.75 * 60 = 45

the order is, 65% of 80, 170% of 30, 82% of 50

0.65 * 80 = 52

0.82 * 50 = 41

1.70 * 30 = 51

200,000 * 0.01x = 130,000

130,000/200,000 = 0.65

0.65/0.01 = 65

the plane used 65% of fuel capacity on this flight

Answer:

Step-by-step explanation:

1) 50% of 60 minutes is 30 minutes

2) 10% of 60 minutes is 6 minutes

3) 75% of 60 minutes is 45 minutes

4) 52%

5) 41%

6)51%

FINAL QUESTION:

260,000,000 fuel used