HELP I NEED HELP ASAP

To find the point(s) on the plane x−2y+z=3 where the expression x^2+4y^2+2z^2 is minimum, we can use the method of Lagrange multipliers.

Let's define the function f(x, y, z) = x^2 + 4y^2 + 2z^2, and the constraint g(x, y, z) = x − 2y + z − 3 = 0.

We set up the Lagrange function L(x, y, z, λ) = f(x, y, z) + λg(x, y, z).

Taking partial derivatives and setting them to zero, we get:

∂L/∂x = 2x + λ = 0

∂L/∂y = 8y - 2λ = 0

∂L/∂z = 4z + λ = 0

∂L/∂λ = x - 2y + z - 3 = 0

Solving these equations simultaneously, we find x = -2/3, y = 1/3, z = 2/3, and λ = -4/3.

Therefore, the point(s) on the plane x−2y+z=3 where x^2+4y^2+2z^2 is minimum is (-2/3, 1/3, 2/3).

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A dividend is the distribution of a company's earnings to its shareholders and is determined by the company's board of directors. Dividends are often distributed quarterly and may be paid out as cash or in the form of reinvestment in additional stock.

1. For a company that reports an increase in retained earnings of $1,560 and net income of $5,260, the amount of dividends is $3,700 .

2. For a company that reports beginning retained earnings of $2,110, net income of $1,610, and $320 dividends, the amount of ending retained earnings is $3,400.

3. For a company that reports an increase in retained earnings of $1,420 and dividends of $1,970, the amount of net income is $3,390.

4. For a company that reports ending retained earnings of $2,400, net income of $580, and dividends of $430, the amount of beginning retained earnings is $2,250.

5. For a company that reports an increase in retained earnings of $660 and net income of $1,270, the amount of dividends is $610 .

In each scenario, we can use the formula: Beginning retained earnings + net income - dividends = ending retained earningsWe can rearrange this formula to solve for any variable we need.

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The null hypothesis in the sampling is u = 128 and the alternative is that it isn't equal to 128.

Given a mean of 128. The claim here is that the mean is 128.

Therefore, the null hypothesis and alternative hypothesis, would be:

H0 : u = 128

Ha: u ≠ 128

How is the null hypothesis depicted?

It should be noted that based on the information, when the null hypothesis is rejected, it implies that the weight is 128.

Also, there's no enough evidence to conclude that there's either overfilling or underfilling. When the null hypothesis is rejected, it means that the mean weight is not equal to 128.

Hence the answer is The null hypothesis in the sampling is u = 128 and the alternative is that it isn't equal to 128.

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The matching is given below.

Let a be the initial value and x be the power of the exponent function and b be the increasing factor. The exponent is given as

y = a(b)ˣ

You are asked to write exponential equations from word problems.

We know that factor 2 represents doubling, factor 4 represents quadrupling, factor 3 represents tripling, and factor 1/2 represents halving.

Then the matching is given below.

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Answer:

100x14 = 1,400

14(10) = 140

361 * 1000 = 361,000

100(361) = 36,100

Answer:

a/9

Step-by-step explanation:

Answer: 36

Step-by-step explanation:

From the question, we are informed that six numbers has an average of 42. This means that the total number will be equal to:

= 42 × 6

= 252

When three of this numbers were removed the remaining three numbers had an average of 72. The total of this will be:

= 72 × 3

= 216

The sum of the removed numbers will be the difference between the two numbers above. This will be:

= 252 - 216

= 36

Therefore, in either partial derivatives, we have u = 0 or v = 0.

The given information implies that two vectors u and v satisfy:

u * v = 0, where * denotes the dot product between vectors.

u X v = 0, where X denotes the cross product between vectors.

From the first equation, we know that the angle between u and v is either 90 degrees or 270 degrees. That is, u and v are orthogonal (perpendicular) to each other.

From the second equation, we know that the magnitude of the cross product u X v is equal to the product of the magnitudes of u and v multiplied by the sine of the angle between them. Since u and v are orthogonal, the angle between them is either 90 degrees or 270 degrees, which means that the sine of the angle is either 1 or -1. Therefore, we have:

|u X v| = |u| * |v| * sin(θ)

= 0

Since the magnitudes of u and v are non-negative, it follows that sin(θ) must be zero. This can only happen if the angle between u and v is either 0 degrees (i.e., u and v are parallel) or 180 degrees (i.e., u and v are anti-parallel).

In the case where u and v are parallel, we have:

u * v = |u| * |v| * cos(θ)

= |u|²

= 0

This implies that |u| = 0, which means that u = 0.

In the case where u and v are anti-parallel, we have:

u * v = |u| * |v| * cos(θ)

= -|u|²

= 0

This again implies that |u| = 0, which means that u = 0.

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Answer:

7 = 24

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

9514 1404 393

Answer:

  162 degrees

Step-by-step explanation:

Angles P and F are supplementary, so ...

  3x^2 +12x = 180

  x^2 +4x = 60

  x^2 +4x -60 = 0

  (x +10)(x -6) = 0

The useful value of x that makes this true is x=6.

The measure of angle Q is 3x, so is 3·6 = 18 degrees. The measure of angle S is the supplement to that:

  ∠S = 180° -18° = 162°

Seema left 6/11 of the book for reading over the weekend.

To calculate the part of the book left for reading during the weekend, we need to subtract the part of the book Seema read during the weekday from the total book.

If Seema reads 5/11 of the book during the weekday, then:

This means 6/11 of the book is left for reading during the weekend. It is important to note that the fraction of the book read during the weekday and the fraction left for reading during the weekend add up to the total book. This means that 11/11 of the book will be read by Seema in total.

This question should be written as:

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When Omar does not have a common factor while factoring a polynomial, he should consider regrouping terms, factoring out a common factor, or adjusting signs to simplify the expression. The absence of a common factor does not necessarily mean the polynomial is prime.

If Omar noticed that he does not have a common factor when factoring a polynomial, there are a few possible next steps to consider. It is important to note that the absence of a common factor does not necessarily mean that the polynomial is prime.

One option for Omar is to go back and regroup the terms in step 1, as (3x³ – 15x²) – (4x + 20). By rearranging the terms, he may be able to identify a common factor or a different factorization approach.

Another possibility is for Omar to factor out a common factor from the first expression in step 2. He can examine the terms in the expression and determine if there is a factor that can be pulled out.

It is also worth considering whether Omar needs to factor out a negative from one of the groups so that the binomials become the same. This step can help simplify the expression and make the factoring process easier.

Overall, Omar should explore different factorization strategies, regroup terms if necessary, and look for common factors or patterns to continue factoring the polynomial. The absence of a common factor does not necessarily imply that the polynomial is prime.

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Answer:

32 and 35

Step-by-step explanation:

I am going to use x for the smaller number and y for the larger one.

The sum of both these numbers is 67, so the equation should be:x+y=67

Since the smaller number is three less than the larger number, that means 3 has to be added to the smaller number to make it equal in size to the larger number.

x+3=y

To solve the equation, simply plug in 

x+3 for the y variable in the first equation.x+x+3=67→ Rewrite the first equation2x=64→ 

Subtract 3 from each side, combine like termsx=32→ 

Divide each side by 2The smaller number is 32, so we plug that in to the second equation to find the larger number.

32+3=yy=35

The two numbers are 32 and 35

Answer:

Yes, because the slopes of the equations are different so the system of equations will have one solution.

Step-by-step explanation:

Answer:

Δ abc vuong tai a, goc abc = 60°, canh ab = 5cm

tan abc = tan 60° = \(\frac{AC}{AB}\)

⇒ AC = AB × tan 60° = 5√3

To rewrite the equation without the horizontal transformation, we need to eliminate the "+1" term in the equation.

The equation 1(x) - (+1) represents a linear function with a horizontal transformation. The "+1" term indicates a shift of the graph one unit to the left. To remove this horizontal transformation and rewrite the equation, we can simplify it as follows:

1(x) - (+1) = 1(x) - 1

By removing the "+1" term and simplifying, we have an equivalent equation that does not contain the horizontal transformation. The new equation, 1(x) - 1, represents a linear function without any horizontal shift. It is the same as the original equation, but without the "+1" term.

In conclusion, the equation 1(x) - (+1) can be rewritten as 1(x) - 1 to eliminate the horizontal transformation. This new equation represents the same linear function without any horizontal shift.

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Answer:

m = 11

Step-by-step explanation:

Given

\(\frac{2}{5}\) (m + 4) = 6 ← multiply both sides by 5 to clear the fraction

2(m + 4) = 30 ( divide both sides by 2 )

m + 4 = 15 ( subtract 4 from both sides )

m = 11

This method avoids having to deal with awkward fractions

The following a probability model? what do we call the outcome No, the provided information is not sufficient to determine if it is a probability model. The outcome "red" is typically referred to as an event.

A probability model is a mathematical representation of a random experiment, where the sample space is defined, and probabilities are assigned to all possible outcomes. To determine if the given information is a probability model, we would need to know the complete list of possible outcomes, their corresponding probabilities, and ensure that the probabilities meet the necessary conditions (sum up to 1 and are non-negative).

Based on the limited information provided, we cannot determine if it is a probability model. The outcome "red" is called an event in the context of probability.

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Answer:

B

Step-by-step explanation:

Circumference is 3.14*d

Where d is the diameter.

3.14*8000

= 25120

The Earth has a circumference of 25120 miles approximately.

Answer:

B. 25,120 miles.

Step-by-step explanation:

Circumference = π * diameter

= 3.14 * 8000

= 25,120 miles.

5m + 4/5 = 7

=> 5m = 7 - 4/5

=> 5m = 35/5 - 4/5

=> 5m = 31/5

=> m = 31/5×5

=> m = 31/25

Answer:

Its A

Step-by-step explanation:

common sence

Considering the factors of time and cost, strategic alliances generally emerge as the quickest and cheapest way to develop a global strategy. (option c)

Strategic alliances involve partnerships or collaborations between companies from different countries, with the goal of leveraging each other's strengths to achieve mutual benefits.

By sharing resources, knowledge, and networks, companies can expand their global presence more efficiently and cost-effectively. Strategic alliances can enable faster market entry and access to new markets by leveraging the partner's existing infrastructure, distribution channels, and customer base.

Moreover, pooling resources can help reduce costs and risks associated with global expansion.

Therefore, strategic alliances can be a relatively quicker and cheaper way to develop a global strategy, as they provide an opportunity to tap into existing capabilities and market presence of the alliance partner.

Hence the correct option is (c).

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The amount in the account after 12 years from today will be $4,956.81.

From the question, we know that:

Amount invested = $2,800

Number of years for which the amount is invested = 7

Interest rate = 5.2%

Compounding period = annually

Amount to be calculated:Amount in the account after 12 years from today

We can use the formula for compound interest to calculate the amount in the account after 12 years from today.

The formula for compound interest is given as:

A = P(1 + r/n)^(n × t)

Where

A is the amount,

P is the principal amount,

r is the annual interest rate,

t is the time the money is invested for, and

n is the number of times the interest is compounded per year.

Now, let's put the given values in the formula:

A = $2,800(1 + 0.052/1)^(1 × 7) = $3,961.54

After 7 years, the amount in the account will be $3,961.54.

Now, we need to calculate the amount in the account after 12 years. The number of years for which the amount is invested is 7 years.

Thus, the number of years remaining for the amount to be invested is:

12 - 7 = 5 Years

Now, we can use the above formula to calculate the amount in the account after 5 years:

A = $3,961.54(1 + 0.052/1)^(1 × 5) = $4,956.81

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Answer:

Step-by-step explanation:

(a) To find the probability that it is raining when you arrive in Oneirabad on a random day, we need to use the law of total probability.

Let A be the event that it is raining, and B be the event that it is the Wet season.

P(A) = P(A|B)P(B) + P(A|B')P(B')

Given that the Wet season lasts for 1/3 of the year, we have P(B) = 1/3. The probability that it is raining during the Wet season is 3/4, so P(A|B) = 3/4.

The Dry season lasts for 2/3 of the year, so P(B') = 2/3. The probability that it is raining during the Dry season is 1/6, so P(A|B') = 1/6.

Now we can calculate the probability that it is raining when you arrive:

P(A) = (3/4)(1/3) + (1/6)(2/3)

= 1/4 + 1/9

= 9/36 + 4/36

= 13/36

Therefore, the probability that it is raining when you arrive in Oneirabad on a random day is 13/36.

(b) Given that it is raining when you arrive, we can use Bayes' theorem to calculate the probability that your visit is during the Wet season.

Let C be the event that your visit is during the Wet season.

P(C|A) = (P(A|C)P(C)) / P(A)

We already know that P(A) = 13/36. The probability that it is raining during the Wet season is 3/4, so P(A|C) = 3/4. The Wet season lasts for 1/3 of the year, so P(C) = 1/3.

Now we can calculate the probability that your visit is during the Wet season:

P(C|A) = (3/4)(1/3) / (13/36)

= 1/4 / (13/36)

= 9/52

Therefore, given that it is raining when you arrive, the probability that your visit is during the Wet season is 9/52.

(c) Given that it is raining when you arrive, the probability that it will be raining when you return to Oneirabad in a year's time depends on the season. If you arrived during the Wet season, the probability of rain will be different from if you arrived during the Dry season.

Let D be the event that it is raining when you return.

If you arrived during the Wet season, the probability of rain when you return is the same as the probability of rain during the Wet season, which is 3/4.

If you arrived during the Dry season, the probability of rain when you return is the same as the probability of rain during the Dry season, which is 1/6.

Since the season you arrived in is independent of the weather when you return, we need to consider the probabilities based on the season you arrived.

Let C' be the event that your visit is during the Dry season.

P(D) = P(D|C)P(C) + P(D|C')P(C')

Since P(C) = 1/3 and P(C') = 2/3, we can calculate:

P(D) = (3/4)(1/3) + (1/6)(2/3)

= 1/4 + 1/9

= 9/36 + 4/36

= 13/36

Therefore, the probability that it will be raining when you return to Oneirabad in a year's time, given that it is raining when you arrive, is 13/36.

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Answer:its c or d hope i help

Step-by-step explanation:

Answer:

2940π square feet.

Step-by-step explanation:

The exact surface area of a cylinder is given by the formula:

2πr² + 2πrh

where r is the radius and h is the height.

Substituting the values given in the question, we have:

2π(30)² + 2π(30)(19)

Simplifying:

2π(900) + 2π(570)

2π(900 + 570)

2π(1470)

The exact surface area of the cylinder is:

2940π square feet.

Answer:

Step-by-step explanation:

if u got 90% then (83+90)/2=86,5%

if u got 100% then (83+100)/2=91,5%

Answer:

86.5% or 91.5%

Step-by-step explanation:

83+90=173

173÷2=86.5%

OR

83+100=183

183÷2=91.5%

The equation for the absolute value function is y = -2lx-4l + 2

An absolute value function is what?

A function that surrounds an algebraic expression in absolute value symbols is called as an absolute value function. Remember that a number's distance from 0 on the number line represents its absolute value. The definition of the absolute value parent function is given as follows: f(x)=x if x>00 if x=0 if x0.

Y=a| x+h |+k is the form of the equation for an absolute value function. Also:

The graph's vertex is (h,k).

The range of the graph is y≥k for a>0 and its domain is a set of all real numbers.

The range of the graph is y≤k when a0, and its domain is a set of all real numbers.

X=h is the symmetry axis.

If a>0, it opens up; if a0, it opens down.

The graph of y=a| xh |+k can be created by translating the line graph y=| x | by h units horizontally and k units vertically.

If | a | 1 and if | a | >1, the graph of y=a| x | is wider than the graph of y=| x | and narrower.

So here (h,k)=(4,2)
range of y≤2

and its narrower so a≥1
hence the equation is y = -2 l x-4 l +2


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Carla will run on Sunday, November 12 and then run and swim on Thursday, November 16.

Carla runs every 3 days and swims every Thursday.

Carla ran and swam on Thursday 9 November.

The next time Carla will run will be 3 days later: Sunday, November 12.

The next Thursday after November 9 is November 16.

Therefore, Carla will run on Sunday, November 12 and then run and swim on Thursday, November 16.

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Answer:

I would put frequency and how