someone help pls ;-; im lost

The maximum value of the objective function z is 19, and it occurs at the point (5, 1).Hence, the optimal solution is (5, 1), and the optimal value of the objective function is 19.

1. Graphically determine the optimal solution, if it exists, and the optimal value of the objective function of the following linear programming problems.
maximize z = x₁ + 2x₂ subject to 2x1 +4x2 ≤6, x₁ + x₂ ≤ 3, x₁20, and x2 ≥ 0.

To solve the given linear programming problem, the constraints are plotted on the graph, and the feasible region is identified as shown below:

Now, To find the optimal solution and the optimal value of the objective function, evaluate the objective function at each corner of the feasible region:(0, 3/4), (0, 0), and (3, 0).

        z = x₁ + 2x₂ = (0) + 2(3/4)

                    = 1.5z = x₁ + 2x₂ = (0) + 2(0) = 0

                        z = x₁ + 2x₂ = (3) + 2(0) = 3

The maximum value of the objective function z is 3, and it occurs at the point (3, 0).

Hence, the optimal solution is (3, 0), and the optimal value of the objective function is 3.2.

maximize subject to z= X₁ + X₂ x₁-x2 ≤ 3, 2.x₁ -2.x₂ ≥-5, x₁ ≥0, and x₂ ≥ 0.

To solve the given linear programming problem, the constraints are plotted on the graph, and the feasible region is identified as shown below:

To find the optimal solution and the optimal value of the objective function,

        evaluate the objective function at each corner of the feasible region:

                                (0, 0), (3, 0), and (2, 5).

                          z = x₁ + x₂ = (0) + 0 = 0

                          z = x₁ + x₂ = (3) + 0 = 3

                           z = x₁ + x₂ = (2) + 5 = 7

The maximum value of the objective function z is 7, and it occurs at the point (2, 5).

Hence, the optimal solution is (2, 5), and the optimal value of the objective function is 7.3.

maximize z = 3x₁ +4x₂ subject to x-2x2 ≤2, x₁20, and X2 ≥0.

To solve the given linear programming problem, the constraints are plotted on the graph, and the feasible region is identified as shown below:

To find the optimal solution and the optimal value of the objective function, evaluate the objective function at each corner of the feasible region:(0, 1), (2, 0), and (5, 1).

                         z = 3x₁ + 4x₂ = 3(0) + 4(1) = 4

                      z = 3x₁ + 4x₂ = 3(2) + 4(0) = 6

                      z = 3x₁ + 4x₂ = 3(5) + 4(1) = 19

The maximum value of the objective function z is 19, and it occurs at the point (5, 1).Hence, the optimal solution is (5, 1), and the optimal value of the objective function is 19.

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a) Firm's fixed costs is 300 dollars. The average total cost is 5.6 dollars. If variable costs were 385 dollar when 124 units were produced, then the total cost equal to at 124 units is 682.6 dollars.

What is variable costs?

Variable costs are that type of costs which change as the quantity of the good or service that a business produces changes. Variable costs are the sum of marginal costs over the sum of units produced. It  can also be considered as normal costs.

A firm produces 125 units of a good. Its variable costs are 400 dollar, and its total costs are 700 dollar.

a) Fixed Costs = Total Costs – (Variable Cost Per Unit × Number of Units Produced)

Here given that, total costs= 700 dollar and total variable costs =400 dollar

Fixed costs= 700 - 400

                = 300 dollars.

b) Average costs= Total costs/ number of goods

                          = 700/125

                           = 5.6

c) Now the variable costs is 385 dollar

Amount of goods = 124 units

Total costs= Fixed costs + variable costs

                 =297.6 + 385 [As the fixed costs for 124 goods is (300×124)/125 which is equals to 297.6]

                 = 682.6 dollars

Hence, Firm's fixed costs is 300 dollars. The average total cost is 5.6. If variable costs were 385 dollar when 124 units were produced, then the total cost equal to at 124 units is 682.6 dollars.

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The probability of all heads, all tails, exactly two tails, exactly one head will be 1/8, 1/8, 3/8, and 3/8 respectively.

The complete question is given below.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Then the total number of the event will be

Total event = 2³

Total event = 8 {HHH, HHT, HTH, THH, HTT, THT, HHT, TTT}

Then the probability of all heads will be

⇒ 1/8

Then the probability of all tails will be

⇒ 1/8

Then the probability of exactly two tails will be

⇒ 3/8

Then the probability of exactly one head will be

⇒ 3/8

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The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

Johnny's rate of saving over the 12 months is $14 per month.

Option A is the correct answer.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

From the graph, we have the following coordinates.

= (5, 70)

This means after 5 months $70 is saved.

= (10, 140)

This means after 10 months $140 is saved.

Johnny's rate of savings.

= Change in the savings amount/change in the months

= (140 - 70) / (10 - 5)

= 70/5

= $14

Thus,

Johnny's rate of saving over the 12 months is $14 per month.

Option A is the correct answer.

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Answer:

1/3

Step-by-step explanation:

constant proportionality = x/y

x1/y1 , x2/y2 , x3/y3 , ....

5/15 , 10/30 , 6/18 , 9/27 , 2/6

= 1/3 , 1/3 , 1/3 , 1/3 , 1/3

since in all the cases x/y = 1/3 ,

Therefore, the contant proportionality in the given table is 1/3

Hope it's helpful..

Answer:

-4ctv² + 10xyz - 9

Step-by-step explanation:

(2 + 5xyz - 6tv²c) - (11 - 5yxz - 2ctv²)

2 + 5xyz - 6tv²c - 11 + 5yxz + 2ctv²

-4ctv² + 10xyz - 9

I hope this helps!

After 6 hours, there are approximately 41.6mg of ibuprofen left in the person's system. To determine how much ibuprofen is left in the person's system after 6 hours, we will use the formula A=P (1+ r/n) ^nt,

where A is the final amount, P is the initial amount, r is the rate of decrease, n is the number of times the interest is compounded per period, t is the number of periods, and nt is the total number of times the interest is compounded.

In this case, P = 400mg (initial amount of ibuprofen), r = -0.29 (rate of decrease, negative because it decreases), n = 1 (compounded once per hour), and t = 6 (hours).

Now, we'll plug these values into the formula: A = 400(1 - 0.29) ^6.

Step 1: Calculate (1 - 0.29), which is 0.71.
Step 2: Raise 0.71 to the power of 6, which is approximately 0.104.
Step 3: Multiply 400 by 0.104, which is approximately 41.6.

After 6 hours, there are approximately 41.6mg of ibuprofen left in the person's system.

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Answer:

It's 33.33%

Step-by-step explanation:

It's 3/9 = 1/3 = 0.3333 = 33.33%

Answer:

110 cards were sold on Mother's Day

Step-by-step explanation:

Bob's gift shop sold 20% of all the cards sold on Mother's Day.

Let the number of cards sold on Mother's day be m

Bob sold 20% of m or 0.2m

We know that 0.2m is 22, so now we can solve for m

110 cards were sold on mothers day

Note

We know that 0.2 is 1/5, so instead of dividing each side by 0.2, we could have multiplied both sides by 5

-Chetan K

the statement is false. The correct probability is approximately 0.5567, not 0.0062.

To determine the truth value of the statements, we need to calculate the probabilities using the given normal distribution with a mean of 8 and a standard deviation of 16.

a. The probability of obtaining an X value greater than 12 can be calculated by finding the area under the normal curve to the right of 12. We can use the z-score formula to standardize the value:

z = (X - mean) / standard deviation

For X = 12, mean = 8, and standard deviation = 16:z = (12 - 8) / 16 = 0.25

Using a standard normal distribution table or a calculator, we can find that the probability of obtaining a z-value of 0.25 or greater is approximately 0.4013. Therefore, the statement is false. The correct probability is approximately 0.4013, not 0.16.

b. The probability of obtaining an X value between 12 and 14 can be calculated by finding the area under the normal curve between these two values. First, we standardize the values:

z1 = (12 - 8) / 16 = 0.25

z2 = (14 - 8) / 16 = 0.375

Using the standard normal distribution table or a calculator, we can find the area to the right of z1 and subtract the area to the right of z2:

(12 < X < 14) = P(z1 < Z < z2)

              = P(Z < z2) - P(Z < z1)

Using the table, we find P(Z < 0.375) = 0.6480 and P(Z < 0.25) = 0.5987.

P(12 < X < 14) = 0.6480 - 0.5987 = 0.0493

Therefore, the statement is false. The correct probability is approximately 0.0493, not 0.09.

c. The probability that an X value is more than 2.5 standard deviations from the mean can be calculated using the z-score:

z = (X - mean) / standard deviation

For X = 8 + 2.5 * 16:

z = (8 + 2.5 * 16 - 8) / 16 = 0.15625

Using the standard normal distribution table or a calculator, we can find the probability of obtaining a z-value of 0.15625 or greater. The value is approximately 0.5567, not 0.0062.

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Answer:

1/3 + 3/8 = 17/24

Step-by-step explanation:

LCD is 24

3*8 = 24

8*3 = 24

3/24 + 9/24 = 17/24

Answer: 54%

Step-by-step explanation:

The relative frequency of landing on heads is 0.54 or 54%.

Given that Jamie tossed a coin 50 times.
Head showed for 27 times.

Tails showed for 23 times.

We need to find the relative frequency of landing on heads,

The relative frequency of an event is calculated by dividing the number of times the event occurred by the total number of trials or occurrences.

In this case, Jamie tossed a coin 50 times, and it landed on heads 27 times.

To find the relative frequency of landing on heads, we divide the number of times the coin landed on heads (27) by the total number of tosses (50):

Relative Frequency of landing on heads = Number of heads / Total number of tosses

Relative Frequency of landing on heads = 27 / 50

Simplifying this fraction, we get:

Relative Frequency of landing on heads = 0.54

This means that, based on the given data, the coin landed on heads approximately 54% of the time in the 50 tosses performed by Jamie.

Therefore, the relative frequency of landing on heads is 0.54 or 54%.

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The value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

(1). angle B = 180 - (22 + 90) {sum of interior angles of a triangle}

angle B = 68°

Given that the triangle ∆ABC is similar to the triangle ∆PQR.

(2). PQ/7.5cm = 12cm/18cm

PQ = (12cm × 7.5cm)/18cm {cross multiplication}

PQ = 5cm

(3). 13cm/BC = 12cm/18cm

BC = (13cm × 18cm)/12cm {cross multiplication}

BC = 19.5cm

(4). area of ∆PQR = 1/2 × 12cm × 5cm

area of ∆PQR = 6cm × 5cm

area of ∆PQR = 30cm²

Therefore, the value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

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Answer:

B, D, E

Step-by-step explanation:

B, D, and E are sentences with a minimum of two numbers and at least one math operation, an expression.

Answer:

x=16.5

Step-by-step explanation:

12.7 + 3.8 = x - 3.8 + 3.8

16.5 = x

Answer:

x = 16.5

Step-by-step explanation:

In this equation, we're trying to figure out the value of x, or what it's equivalent to in this particular situation. Let's look at what we have right now:

12.7 = x - 3.8

How can we get x by itself? Well, the thing that immediately comes to my mind is adding 3.8 to both sides. This will isolate x and help is figure out what it's equal to. So, we start out with:

12.7 = x - 3.8

...and then we add 3.8 to both sides to get:

16.5 = x

And that's the value of x. We can check our answer by replacing x with 16.5 and seeing if both sides of the equation are equivalent:

12.7 = 16.5 - 3.8?

12.7 = 12.7

So, we're correct. If you need any more help, let me know! :)

Answer:

3 miles

Step-by-step explanation:

Since the x coordinates are the same, we only need to find the distance between the y coordinates

-3 - -6

-3 +6

3 units

Each unit is 1 mile

3 units * 1 miles / 1 unit =  3 miles

Answer:

20 + 3x + 4y + 5z

Step-by-step explanation:

20 + 3*x + 4*y + 5*z

Answer:

20+3x+4y+5z

Step-by-step explanation:

Answer:

Step-by-step explanation:

D

The answer to this question is the letter D.

The correlation coefficient is a statistical measure of the strength of the relationship between the relative movements of two variables. The values range between -1.0 and 1.0. A calculated number greater than 1.0 or less than -1.0 means that there was an error in the correlation measurement.

How to find the correlation coefficient for the data table -0.93,-0.27, 0.27, 0.93?

This is because the correlation coefficient focuses on the linear relationship between two variables.

numbers between -1 and 1 should be one of the values related to the bill. As you can the letter D is the closest and most realistic answer.

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Answer:

D

Step-by-step explanation:

I am pretty sure it is D because the numbers on the chart don't seem inconsistent. You go from 11 to 2 which would give a big drop so it wouldn't be a linear function.

Amy invested $8,000 in the account that paid 7% simple interest per year, and she invested $12,000 in the account that paid 8% simple interest per year.

Let x be the amount invested in the 7% account, then 20000 - x is the amount invested in the 8% account. The interest earned on the 7% account is 0.07x, and the interest earned on the 8% account is 0.08(20000 - x). We can write the equation:

0.07x + 0.08(20000 - x) = 1590

Simplifying this equation, we get:

0.07x + 1600 - 0.08x = 1590

-0.01x = -10

x = 1000

Therefore, Amy invested $1,000 in the account that paid 7% simple interest per year, and she invested $19,000 in the account that paid 8% simple interest per year. However, we need to double-check that the interest earned on each account adds up to $1,590:

0.07(1000) + 0.08(19000) = 70 + 1520 = 1590

Therefore, the solution is correct.

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Answer:

The slope is 3, and the y-intercept is -7

Step-by-step explanation:

This is written in y = mx + b form, where m is the slope, and b is the y-intercept.

~theLocoCoco

The slope of the function is 3. The y-intercept of the function is -7.

In the equation y = 3x - 7, the coefficient of x is 3. This coefficient represents the slope of the line.

Therefore, the slope of the function is 3.

The equation is in the form y = mx + b, where m represents the slope and b represents the y-intercept.

In this equation, the y-intercept is the value of y when x is 0. By substituting x = 0 into the equation, find the y-intercept.

y = 3(0) - 7

= 0 - 7

= -7

Hence, the y-intercept is -7.

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Answer:

C

Step-by-step explanation:

Answer:

k=8

Step-by-step explanation:

yes

Answer:

d) More than 3.

Step-by-step explanation:

The polynomial (x - 5)(x + 2)  ( = x^2  - 3x + 10) has zeros of -2 and 5 but so have the polynomials formed by multiplying this by any integer:

- for example 2(x - 5)(x + 2) , 4(x - 5)(x + 2) and so on.

The statement which is true about the right triangle as described is; AC=4 cm

From the given description;

Hence, upon construction of the right triangle as described; the measure of line AC is 4cm.

The image is as attached

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Answer:

ac = 4cm

Step-by-step explanation:

k12

The line AC from the diagrammatic expression of the tangent of the circle shows that line AC is 24.0

A tangent of a circle is a line that intersects the circle at a single point. The site at which the tangent intersects the circle is referred to as the site of tangency.

From the given information:

Line |CD| =  Diameter

Line |EA| = radius = 18

Line |DB| = 12

Then, we can infer that line EA = DE since they are both (radii of the circle.)

Line |DE| = |EA| = 18

By using the formula for Pythagoras' theorem, we can find line |EA|.

hyp² = opp² + adj²

where;

Line |BE| = hypotenuse = DB + BE = 12 + 18 = 30

Line |AB| = opposite (x) = ???

Line |EA| = adjacent = 18

Thus;

30² = x² + 18²

900 = x² + 324

-x²  = -900 + 324

x  = √576

x = 24.0

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Carolyn made an error in her work because she did not correctly distribute the negative in Step 3.

A system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.

You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

The question gives:3x-2y=7 (1)y=x+2The question shows that Carolyn applies the substitution method because she replaces the variable y (equation 2) in equation 1. See the given step 2.

3x – 2y = 7

3x – 2(x + 2) = 7

3x – 2x - 4 = 7 - here it is the mistake. (Carolyn did not correctly distribute the negative).

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Answer:

0

Step-by-step explanation: