plz plz plz plz plz plz plz plz plz plz plz plz plz I need help​

A beverage company has decided to manufacture a new juice with mixed flavors, which is prepared from orange and pineapple. The vitamin contents are 5% of vitamin A and 2% of vitamin C in the orange flavor, while pineapple flavor contains 8% of vitamin C.

The company's policies are to add at least 20 L of orange flavor to the new juice and limit the vitamin C content to no more than 5%. The cost of orange flavor is $1000 per liter, while the cost of pineapple flavor is $400 per liter.To satisfy a minimum demand of 100 L of juice, we must determine the optimal amount of each flavor to use.A) A linear programming model is needed for the company to solve this problem (Minimize production cost of the new juice)B) Use a graphic solution for this problem.The objective function of the optimization problem can be given as:min C = 1000x + 400yThe constraints that the company has are,20x + 0y ≥ 100x + y ≤ 5x ≥ 0 and y ≥ 0The feasible region can be identified by graphing the inequality constraints on a graph paper. Using a graphical method, we can find the feasible region, and by finding the intersection points, we can determine the optimal solution.The graph is shown below; The optimal solution is achieved by 20L of orange flavor and 80L of pineapple flavor, as indicated by the intersection point of the lines. The optimal cost of producing 100 L of juice would be; C = 1000(20) + 400(80) = $36,000.C) If the company decides that the juice should have a vitamin C content of no more than 7%, it would alter the problem's constraints. The new constraint would be:x + y ≤ 7Dividing the equation by 100, we obtain;x/100 + y/100 ≤ 0.07The objective function and the additional constraint are combined to create a new linear programming model, which is solved graphically as follows: The feasible region changes as a result of the addition of the new constraint, and the optimal solution is now achieved by 20L of orange flavor and 60L of pineapple flavor. The optimal cost of producing 100 L of juice is $28,000.

In conclusion, the optimal amount of each flavor that should be used to satisfy a minimum demand of 100 L of juice is 20L of orange flavor and 80L of pineapple flavor with a cost of $36,000. If the company decides that the juice should have a vitamin C content of no more than 7%, the optimal amount of each flavor is 20L of orange flavor and 60L of pineapple flavor, with a cost of $28,000.

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Answer:

The proportion defined by the null hypothesis.

Step-by-step explanation:

Answer:

$175

Step-by-step explanation:

you need to specify if harriet got the 7 portion or the 5 portion. I'll answer as if she got the 7 portion.

They split it into 12 portions because the ratio is 7:5 and 7+5=12. So do $300/12=25

Assuming Maya got the 5 portion, do $25 x 5 = $125, so Maya got $125.

Assuming Harriet got the 7 portion, do $25 x 7 = $175, so Harriet got $175.

Answer:

You will find it.

Explanation:

Replace the X value in each answer's formula with the table's value, then find the answer.

Ex: A. y = 4x + 4

if x = -1

=> y = 4.(-1) + 4 = 0 (not match y value in the table) => the answer is not A

To solve for x, we just need to compute the inverse of A (if it exists) and multiply it by b. If A is invertible, then this method will give us the unique solution to the linear system Ax=b.

To solve a linear system of the form Ax=b using inverse matrices, we can first find the inverse of matrix A (if it exists) and then multiply both sides of the equation by \(A^-1\), giving us:

\(A^-1Ax = A^-1b\)

Since\(A^-1A\) is the identity matrix I, we can simplify the left-hand side to just x:

\(x = A^-1b\)

However, it's worth noting that computing the inverse of a matrix can be computationally expensive, particularly for large matrices.

So, while using inverse matrices can be a useful technique for solving small systems, it may not be the most efficient approach for larger systems. In those cases, other techniques such as Gaussian elimination or LU decomposition may be more appropriate.

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The limits, obtained numerically using a table, are as follows:

a. limₓ→0 3x = 0

b. limₓ→0 √x + x³ = 0

In the given problem, we are asked to find the limits numerically using a table. A limit represents the value that a function approaches as the independent variable approaches a specific value. By evaluating the function at various points close to the specified value, we can approximate the limit.

For part (a), the function is 3x. To find the limit as x approaches 0, we can substitute values of x that are increasingly close to 0 into the function. Using a table, we can calculate the function values for x = -0.1, -0.01, -0.001, and so on. As x approaches 0, we observe that the function values get closer to 0 as well. Therefore, the limit of 3x as x approaches 0 is 0.

For part (b), the function is √x + x³. Similarly, we substitute values of x close to 0 into the function using a table. As x approaches 0 from the left (negative values of x), the function values become negative and approach 0. As x approaches 0 from the right (positive values of x), the function values become positive and approach 0. Hence, regardless of the direction of approach, the limit of √x + x³ as x approaches 0 is 0.

In summary, the numerical tables reveal that the limits for the given functions are 0. Both functions tend to converge to 0 as the independent variable approaches the specified value. The tables help us visualize the behavior of the functions and confirm the limits.

Numerical methods and limit evaluation techniques in calculus to further enhance your understanding of these concepts.

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Answer:

NO. B is the answer

Step-by-step explanation:

because there are two of the same x values, causing there to not form a straight line.

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-XxDeathshotxX

Answer:

58º

Step-by-step explanation:

Answer:

58 degrees

Step-by-step explanation:

x and 32 are complementary, which means they must add to 90 degrees.

x+32=90

Now, we have to solve for x. To do this, we need to get x by itself. 32 is being added on to x. To reverse this, subtract 32 from both sides, because subtraction is the opposite of division.

x+32-32=90-32

x=90-32

x=58

x is 58 degrees

a. Let x be the total number of students in Mr. Johnson's third and fourth period classes.

30% of the students scored a 95% or higher on the quiz.

This means that the number of students who scored a 95% or higher is 0.3x.

The total number of students who scored a 95% or higher is 0.3x + 15.

Therefore, we can write the equation:

0.3x + 15 = 0.3x + 15

0.3x = 15

x = 50

b. To solve the equation x = 50 for the number of students in Mr. Johnson's third and fourth period classes, we can substitute 50 for x in either of the two expressions we derived in part (a):

30% of the students scored a 95% or higher on the quiz.

This means that the number of students who scored a 95% or higher is 0.3x = 0.3(50) = 15.

The total number of students who scored a 95% or higher is 0.3x + 15 = 0.3(50) + 15 = 22.5.

Therefore, we can write the equation:

x = 50

This equation tells us that if we know the total number of students in Mr. Johnson's third and fourth period classes, we can find the percentage of students who scored a 95% or higher.

We can also find the percentage of students who scored a 95% or higher if we know the total number of students in Mr. Johnson's third and fourth period classes.

For example, if we know that there are 100 students in Mr. Johnson's third and fourth period classes, we can use the equation x = 50 to find that 30% of the students scored a 95% or higher on the quiz.

Therefore, the number of students in Mr. Johnson's third and fourth period classes is 50, and 30% of the students scored a 95% or higher on the quiz.

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a. There are 362,880 different ways to arrange the bands.

b. If band 8 is performing first and band 2 last, there are 40,320 different ways to schedule their appearances.

To find the number of different ways to arrange the bands, we use the concept of permutations. Since there are 9 bands, we have 9 options for the first slot, 8 options for the second slot, 7 options for the third slot, and so on. Therefore, the total number of arrangements is 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 362,880.

b. Given that band 8 is performing first and band 2 last, we fix these two positions. Now we have 7 bands left to fill the remaining 7 slots. We can arrange these 7 bands in 7! (7 factorial) ways, which is equal to 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5,040.

However, since we have already fixed the positions for bands 8 and 2, we need to multiply this by the number of ways to arrange the remaining bands, which is 7!. Therefore, the total number of ways to schedule their appearances is 5,040 × 7! = 40,320.

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The set A ∩ B = {3}

The intersection of sets, denoted as A ∩ B, refers to the set that contains elements that are common to both sets A and B. In this case, set A consists of the elements {1, 2, 3, 6}, and set B consists of the elements {3, 4, 5}.

The intersection of A and B, written as A ∩ B, represents the set of elements that appear in both sets simultaneously.

To find the intersection of sets A and B, we examine each element of set A and check if it is also present in set B. In this case, the element 3 is the only element that exists in both sets.

Therefore, the intersection of sets A and B is {3}.

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Answer:

3

Step-by-step explanation:

12 times 3 = 36

36 times 6 = 216

12(x times 6)

(12)6x

72x

216 = 72x

216/72 = 3

Answer:

The number 3 makes this statement true.

\(x=3\)

Step-by-step explanation:

Given the equation:

\((12*3)*6=12*(x*6)\)

Using the order of operations, we can evaluate the terms in the parentheses through the process of multiplication:

\(36*6=12*6x\)

Multiply the terms on both sides of the equation:

\(216=72x\)

Finally, divide both sides of the equation by the coefficient of \(x\), which is \(72\):

\(3=x\)

\(x=3\)

-

Let's check our work by substituting the solved \(x\) value for

\((12*3)*6=12*(3*6)\)

\(36*6=12*18\)

\(216=216\)

Since both sides of the equation are equal to each other, our solution is correct!

Answer:

a = 6.7

Step-by-step explanation:

\(a^{2} + b^{2} = c^{2} \\\\a^{2} + 9.3^{2} = 6.4^{2} \\\\a^{2} + 86.49=40.96\\= 45.53\\\\\sqrt{45.53} \\= 6.7\\a= 6.7\)

11 1/4

Step-by-step explanation:

Count up each individual square

True. However, it is important to note that this command alone does not necessarily align with the values and goals of the budget. It is important to carefully consider and plan out the values and priorities of the budget before executing any commands.

The given command is related to SQL (Structured Query Language), used for managing and querying relational databases. The command is:
`insert into budget values (121, 222, 111);`

This command is inserting a row with values 121, 222, and 111 into the "budget" table. Based on the provided information, this command appears to be correctly structured. So, the answer is:
Structured Query Language, abbreviated as SQL, is a specialized programming language designed to manage data in a relational database management system (RDBMS) or manipulate data in a relational data flow management system (RDSMS). It is especially important when working with structured data, that is, data that has a relationship between entities and variables. SQL has two better read-and-write APIs like ISAM or VSAM. It introduces the concept of accessing multiple files with a single command. Second, it eliminates the need to specify how data is accessed, such as with or without an index.

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Given: the sides of the right angles triangle is given as 35 and 30.

We have to find the leg of the triangle.

Now, since it is a right angled triangle, so we can apply Pythagoras Theorem here.

It states,

Now, as per our question, we have;

hypotenuse=35 and base=30 perpendicular=a

We have to find this 'a'

Therefore,

The expected number of pairs of professors in conflict is given by (m choose 2) * 1/n.

It can be calculated using the principle of linearity of expectation. We can first calculate the probability that any two professors pick the same time slot, which is 1/n. Then, we can count the number of pairs of professors, which is given by the binomial coefficient (m choose 2) = m(m-1)/2. Therefore, the expected number of pairs of professors in conflict is:

Expected number of pairs in conflict = (m choose 2) * 1/n

This formula holds when the selection of time slots by each professor is independent of the choices made by all other professors. Note that this formula assumes that each professor selects only one time slot, and does not consider the possibility of a professor selecting multiple time slots. If professors are allowed to select multiple time slots, then the formula would need to be modified accordingly.

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Answer:

9.4

Step-by-step explanation:

a2+b2=c2

8^2 + 5^2 = c2

64 + 25 = 89

square root of 89 = 9.4

you just need to put the values of a and b where they have to be

.

hope I helped!

Answer:

y-4=-7(x-3) and y=-3/8x-8

Step-by-step explanation:

Point slope form: y-y1=m(x-x1)

the slope is already -7.

We can the just plug in the values: y-4=-7(x-3)

For the 2nd problem we can plug in values as well: -2=3/8(16)+b.

-2=6+b. the y intercept is -8. The final form is y=-3/8x-8

Gina will have $55.

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By Benjemin ☺️

Answer:

it actually y=1/3x+17/3

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 1/3. So you can right away fill in the equation for a line somewhat to read:

y=1/3x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-2,5). When x of the line is -2, y of the line must be 5.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 1/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-2,5).

So, why not plug in for x the number -2 and for y the number 5? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-2,5). y=mx+b or 5=1/3 × -2+b, or solving for b: b=5-(1/3)(-2). b=17/3.

The equation of the line that passes through the point (-2,5) with a slope of 1/3

is

y=1/3x+17/3

There's your explanation

After simplification of the given linear equation [2-(3x+5)-3+2(4x+1)], the reduced form is 5x - 4.

So, the given linear equation:

Now, calculate as follows:

On solving  2-(3x + 5) - 3+ 2(4x + 1), it is reduced to 5x - 4.

Therefore, after simplification of the given linear equation [2-(3x+5)-3+2(4x+1)], the reduced form is 5x - 4.

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Answer:

6o×40=2400

area 1/4=2400÷4=600

area 1/6=600÷6=100

(d)=100 ft2

The MLE of σ² is a biased estimator of σ²

The maximum likelihood estimator (MLE) of σ² is a biased estimator, we need to demonstrate that its expected value is different from the true population variance, σ².

Let's start with the definition of the MLE of σ². In the context of simple linear regression, the MLE of σ² is given by:

MLE(σ²) = SSE/n

where SSE represents the sum of squared errors and n is the number of observations.

The expected value of the MLE, we need to take the average of all possible values of MLE(σ²) over different samples.

E(MLE(σ²)) = E(SSE/n)

Since the expectation operator is linear, we can rewrite this as:

E(MLE(σ²)) = 1/n × E(SSE)

Now, let's consider the expected value of the sum of squared errors, E(SSE). In simple linear regression, it can be shown that:

E(SSE) = (n - k)σ²

where k is the number of predictors (including the intercept) in the regression model.

Substituting this result back into the expression for E(MLE(σ^2)), we get:

E(MLE(σ²)) = 1/n × E(SSE)

= 1/n × (n - k)σ²

= (n - k)/n × σ²

Since (n - k) is less than n, we can see that E(MLE(σ²)) is biased and different from the true population variance, σ².

Therefore, we have shown that the MLE of σ² is a biased estimator of σ².

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The question is incomplete the complete question is :

Show that σ² = SSE/n, the maximum likelihood estimator of σ² is a biased estimator of σ²?

Ramon rode his bike away from home, covering a distance of 8 meters in 4 seconds. After stopping for 3 seconds to tie his shoe, he realized he forgot something and moved back towards home, covering another 8 meters in 2 seconds. In total, Ramon covered a distance of 16 meters.

let's break down Ramon's movements step by step:
1. Ramon rides his bike away from his house and moves 2 meters every second for 4 seconds.
  - In this step, Ramon covers a distance of 2 meters/second * 4 seconds = 8 meters.
2. Ramon stops for 3 seconds to tie his shoe.
  - During this time, Ramon does not cover any distance since he is stationary.
3. Ramon realizes he forgot something at home and goes back, moving 4 meters every second for 2 seconds.
  - In this step, Ramon covers a distance of 4 meters/second * 2 seconds = 8 meters.
To find the total distance covered by Ramon, we add the distances covered in each step:
8 meters (away from home) + 0 meters (stationary) + 8 meters (back towards home) = 16 meters
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The correct option that indicates how Christa sliced the rectangular pyramid is the second option.

Christa sliced the pyramid perpendicular to its base through two edges.

A rectangular pyramid is a pyramid with a rectangular base and four triangular faces.

The height of the cross section indicates that the location where Christa sliced the shape is lower than the apex of the pyramid.

The trapezoid shape of the cross section of the pyramid indicates that the top and base of the cross section are parallel, indicating that Christa sliced the pyramid parallel to a side of the base of the pyramid, such that it intersects two of the edges of the pyramid

The correct option is therefore the second option;

Christa sliced the pyramid perpendicular to its base through two edges

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Answer:

(2,-8)

Step-by-step explanation:

(2,-8)

Answer:

a

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

y=mx+b

point (5,4)

x=5

4=m(5)+1

5m=3

m=3/5

rate of change = 3/5