which of the following is a valid objective function for a linear programming problem
Max 5xy
Min 4x+3y+(2/3)z
Min (x1+x2)/x3

The student made the first error in Step 2. The correct expression for Step 2 should be: 5/6m - 2/3m + 6.

In this step, the student incorrectly combined the constant terms of 12 and -6 to get 12-6=6, instead of 12-6=6m.

To see why this is the case, simplify the original expression step by step:

5/6m + 12 - 2/3m - 6

= (5/6m - 2/3m) + (12 - 6) (group like terms)

= (5/6 * 2/3)m + 6 (simplify fractions and simplify constants)

= 10/18m + 6 (multiply fractions and simplify)

The expression in Step 4 is correct, but it was obtained using an incorrect expression in Step 2.

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Answer:

Aaliyah is 18years old now

Step-by-step explanation:

let AJ's age=x

Aaliyah's age=3x

Four years ago,

AJ's age=x-4

Aaliyah's age=3x-4

3x-4=7(x-4)

3x-4=7x-28

3x-7x=-28+4

-4x=-24

x=6

Aaliyah's present age=3x=3×6=18

The most reasonable explanation for why Medera received zero calls between 3pm and 5pm is that she turned the phone off while playing in a soccer game.

Number is an abstract concept used to count or measure something. It is present in many aspects of our lives, from counting the number of people in a room to measuring a distance between two points. Numbers are also used to represent information and to quantify facts. We use numbers in mathematics, science, engineering, business, and many other fields. Numbers are also used in everyday life, such as for telling time, counting items, and measuring distances.

The most reasonable explanation for why Medera received zero calls between the hours of 3pm and 5pm is that Medera turned the phone off while playing in a soccer game. This can be seen by looking at the histogram, which shows that there were zero calls received around this time, while Medera was likely playing in the game. The graph also shows that Medera usually receives a cluster of calls at certain times. This is also evidence that she turned her phone off while playing in the game, as it would be unlikely that she would receive no calls if her phone was still on. Additionally, it is unlikely that Medera's phone can only receive 22 calls a day, as this would be an unusually low limit. Furthermore, it is unlikely that Medera lost her phone for two hours, as this would not explain why there were zero calls received. Therefore, the most reasonable explanation for why Medera received zero calls between 3pm and 5pm is that she turned the phone off while playing in a soccer game.

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The hours when no calls were received were most likely when Madera turned off the phone while practising soccer.

According to the question,

Madera, a middle school student, got phone calls from 10 a.m. to 10 p.m. on one Saturday.

From the scenarios presented, the one that would suggest this would be when Medera turned off his phone while playing soccer. This is because, her phone was turned off, it was not receiving any phone signal, which meant that no inbound calls were received during that time. Medara lost her phone for two hours, but even though she didn't have it with her, the phone was still on and connected to a network, indicating that calls were still streaming.

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The area under the curve between two values on the x-axis represents the probability that the random variable falls within that range, with the total area under the curve being equal to 1.

In the graph, the PDF is represented by the smooth curve. The highest point on the curve corresponds to the most likely value of the random variable. In this case, the most likely value appears to be around x = 2.5.

The area under the curve between any two values on the x-axis represents the probability that the random variable falls within that range. For example, the probability that the random variable falls between x = 1 and x = 3 is equal to the area under the curve between those two values.

It's important to note that the probability density function must satisfy the following two conditions:

The total area under the curve must be equal to 1.

The probability of the random variable taking on any specific value is equal to zero, since the function only describes the likelihood of the variable taking on a range of values.

PDFs are often used in statistics to describe continuous distributions, such as the normal distribution, and to make statistical inferences about populations based on samples.

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Answer:

Step-by-step explanation:

Let r(y)=x.

\(x=\frac{2}{3}(4y-5)\\\\\frac{3}[2}x=4y-5\\\\\frac{3}{2}x+5=4y\\\\y=\frac{3}{8}x+\frac{5}{4}\\\\r^{-1}(x)=\frac{3}{8}x+\frac{5}{4}\)

We need x and y

JKLM is a rectangle not triangle

Opposite sides of rectangle are equal

Now

\(\\ \rm\Rrightarrow 4y+5=2y+35\)

\(\\ \rm\Rrightarrow -2y=-30\)

\(\\ \rm\Rrightarrow y=-30/-2\)

\(\\ \rm\Rrightarrow y=15\)

And

\(\\ \rm\Rrightarrow x+31=5x-9\)

\(\\ \rm\Rrightarrow -4x=-40\)

\(\\ \rm\Rrightarrow x=10\)

In Δ PRQ, The value of the missing variable x is 4.8.

Calculating the area οf a triangle. Use the fοrmula area = 1/2 * base * height tο calculate the area οf a triangle. Select a side tο serve as the base and calculate the triangle's height frοm that pοint.

Cοrrespοnding sides in similar triangles are prοpοrtiοnal. As a result, using the infοrmatiοn prοvided, we can calculate the fοllοwing prοpοrtiοn:

As Δ PQS ≅ Δ PRQ

Then according to CPCT

PQ ≅ PR

and

PS ≅ PQ

Then we have

7 ≅ 5+ x

5 ≅  7

Then

\($ \frac{7}{5 + x} = \frac{5}{7}\)

Cross multiply

\($ \frac{7}{5 + x} = \frac{5}{7}\)

7 × 7 = 5(5+ x)

49 = 25 + 5x

49 - 25 = 5x

24 = 5x

x = 24/5

x = 4.8

Thus, In Δ PRQ, The value of the missing variable x is 4.8.

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Complete question:

Parts of similar triangle are given as the Δ PQS ≅ Δ PRQ. Find the value of x.

Answer:

cos(60°) = a/12

Step-by-step explanation:

Cosine = adjacent / hypotenuse, where the hypotenuse is 12 units.

"a" is adjacent to ∅, so a/12 = cos(60°).

Answer: d

Step-by-step explanation: i got 100% on quiz

Answer:

I think 7.6 i remember i had something like this  

Step-by-step explanation:

1. The Lisa pay for the filet mignon she purchased at $6.99 per pound is $30.41 pounds.

2. The amount she will pay for the shrimp is $11.8125.

3. The total amount Lisa will pay for the filet mignon and the shrimp is $42.2225.

1. The local grocery store has filet mignon on sale for $6.99 per pound. Lisa bought 4.35 pounds of steak for the dinner party. The amount paid will be:

= 4.35 × $6.99

= $30.41 pounds.

2. Lisa also purchased 2.25 pounds of shrimp at $5.25 per pound. The amount she will pay for the shrimp is:

= 2.25 × $5.25

= $11.8125

3. The total amount Lisa will pay for the filet mignon and the shrimp is:

= $11.8125 + $30.41

= $42.2225

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Answer:

$42.2225

Step-by-step explanation:

The Event of choosing a letter from F to D is

n(A) = 4

A series of possible results from an experiment that have been given a probability is called an event. Separate events in an experiment may not be equally probable, since they may involve vastly dissimilar sets of outcomes, and a single result may be a component of many different events.

Given that a bag contains eight different balls, each of which is labeled from A to H. Given that a ball is selected at random, and the letter it lands on is written down as the result. Given that there is an equal chance of drawing any one of the balls, the sample space for drawing one ball is

Generally, the equation for S is  mathematically given as

S = {A,B,C,D,E,F,G,H} and n(S) = 8

Therefore

G = The event of choosing a label from D to F

Where

F= {A,B,C,D}  

Sample size

n(A) = 4

In conclusion,

n(A) = 4

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The ordered pair that is a solution of the system is (-3, -3), the second option.

There are two ways of finding this.

You can use your graph and identify which of the given pointes lies in the region where the two shaded areas intersect.

Another way, is replacing the values of the coordinate points in both inequalities and checking that both are true when evaluated in the point.

Here we will use the graph, because you already had it (and you can see a more precise graph in the image at the end).

We can see that the region os solutions is on the left side of the graph, and the only point that lies on there is (-3, -3)

So that point is the solution.

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Answer:

this is the answer:

Step-by-step explanation:

Hope it helps:

Answer:

14°

Step-by-step explanation:

deltamath

Answer:

Step-by-step explanation:

Steve is a single man whose salary is $92,000 per year. To contribute to his employer's 401(k) in order to fall in a tax bracket lower than the one he is currently in as follows

The amount that he needs to contribute to his employer's 401(k) in order to fall in a tax bracket will be $9750.

From the information given, Steve is a single man whose salary is $92,000 per year. Based on the tax table below, the amount that he needs to contribute to his employer's 401(k) in order to fall in a tax bracket will be:

= $92000 - $82250

= $9750

Therefore, the amount is $9750.

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Binary number to decimal:

10 in binary is 1010 and 1000 in binary is 1111101000, and 10101110 is 170 in decimal and 54520₁₀.

1. Choose the number of bits in the binary representation. Assume you need the value on an 8-bit system.

2. Write down your number, let's say 16 in binary is 10000

3. Add some leading 0's so that the number has eight digits, 0001 0000. That's 16 in the two's complement notation.

4. And what about its counterpart, −16.

5. Switch all the digits to their opposite (0→1 and 1→0).

In our case, 00010000→11101111 and,

6. Add 1 to this value, 11101111+1=1111

7. 11110000  in the two's complement representation is −16, and,

decimal notation and is the 2's complement of 00010000.

According to the Question:

1) 10 in binary is 1010 and

2) 1000 in binary is 1111101000, and

3)10101110 is 170 in decimal and

4) 1101010011111000 is 54520₁₀ in decimal.

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Answer: 1 & 4 4&5 6&7

Step-by-step explanation:

Answer: (x+5)

Step-by-step explanation:

The only other possible factor is (x+5). We can test it out to see if it multiplies out to x²-25.

(x+5)(x-5)          [FOIL]

x²-5x+5x-25     [combine like terms]

x²+0x-25

x²-25

Therefore, we know that (x+5) is the correct other factor.

Answer:

5832

Step-by-step explanation:

18 × 18 = 324

324 × 18 = 5832

Answer:

3/8

Step-by-step explanation:

Two triangles = one square

Since there are 4 squares, then there are 8 triangles

We see one triangle is shaded.

We also see one square is shaded, which means 2 triangles are shaded.

2 + 1 = 3 triangles shaded. Since there are a total of 8 triangles, then the fraction would be 3/8

Step-by-step explanation:

\( \tan(31) = \frac{x}{33} \\ x = 33 \tan(31) \\ x = 19.82840042791 \\ x = 19.83\)

Answer:

x = 19.8

Step-by-step explanation:

You want to use tangent, since you are trying to find the opposite side and know the adjacent side to the angle.

tan = opposite/adjacent

31tan = x/33

Multiply both sides by 33

33(31tan) = (33) x/33

33(31tan) = x

Find the tan of 31° using a scientific calculator.

tan 31° is about 0.6

Solve for x

33(0.6) = x

x = 19.83

rounded to the the nearest tenth

x = 19.8

Answer:

Of course! I LOVEEEE math so much that I pull my hair every time I do it...but I do get a high grade on it almost always. So cheer up and just do math because they will come in handy in the future!!

Answer:

1

Step-by-step explanation:

5x2 is 10 subtract that and add it to 6 which gives you -4 then you do -4/-4 which is 1

Answer:

29.33

I thinks that right... lol :D

Forgive me if it wrong :(

Step-by-step explanation:

That is equivalent to 308 square yards.  You can verify it on this website https://www.inchcalculator.com/square-yards-calculator/.

The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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Answer: 3 weeks

Step-by-step explanation: