use lagrange multiplier techniques to find the dimensions of the rectangle with largest perimeter that can be inscribed inside an ellipse x2 36 y2 64

Answer: When dividing by 10, 100, 1000 and so on, move the decimal point to the left as many places as there are 0s. So when dividing by 10, move the decimal point one place, by 100 two places, by 1000 three places and so on.

Answer:

b

Step-by-step explanation:

Yes, q = -5 is a solution to the inequality q < -7.

We have,

To determine if q = -5 is a solution to the inequality q < -7, we need to plug in -5 for q in the inequality and see if it is a true statement.

Substituting q = -5.

-5 < -7

Since -5 is less than -7,

The inequality q < -7 is true when q = -5.

Thus,

q = -5 is a solution to the inequality q < -7.

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The best representation of the inequality y ≤ - 5/6x + 2/3 is shown in figure by red shade region.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

The inequality is,

⇒ y ≤ - 5/6x + 2/3

Now, We can draw the graph of inequality y ≤ - 5/6x + 2/3.

Hence, The best representation of the inequality y ≤ - 5/6x + 2/3 is shown in figure by red shade region.

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Answer:

\(-\infty < y\le0\)

Step-by-step explanation:

The y-values (range/output/graph) cover the portion \((-\infty,0]\)

The interval is always open on \(-\infty\) and \(\infty\) because their values are unknown => It is impossible to reach \(-\infty\) and \(\infty\)

The area of a rectangle is given by:

The value of an excel formula that will square this number is,

⇒ N²

We have to given that;

A number is stored in cell a1.

Hence, We can formulate;

Type = N² into the empty cell, in which N is a cell reference that contains the numeric value you want to square.

And, We also get;

To display the square of the value in cell A1 into cell B1,

We can type = A1² into cell B1.

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Answer:

x = 10

Step-by-step explanation:

You have to divide 30 divided by 10 is 3 so ya.

Answer:

i think you have to divide

Step-by-step explanation:

30/3

x=10

Answer:

its 18 because 18 goes into 18 and 54. goes in 54 3 times

Step-by-step explanation:

Answer:

the 30th term is 239

Step-by-step explanation:

The computation of the 30th term is as follows:

As we know that

a_n = a_1 + (n-1)d

where

a_1 is the first number is the sequence

n = the term

And, d = common difference

Now based on this, the 30th term is

= 152 + (30 - 1) × 3

= 152 + 29 × 3

= 152 + 87

= 239

Hence, the 30th term is 239

Answer:

y = -2

Step-by-step explanation:

y2 - y1 / x2 - x1

-2 - (-2) / -2 - 8

0/-10

= 0

y = 0x + b

-2 = 0(-2) + b

-2 = 0 + b

-2 = b

Answer:

Y = -2

slope = 0

Step-by-step explanation:

x1 y1  x2 y2

8 -2  -2 -2

(Y2-Y1) (-2)-(-2)=   0  ΔY 0

(X2-X1) (-2)-(8)=    -10  ΔX -10

slope= 0          

B= -2          

Y = -2    

Answer:

C

Step-by-step explanation:

I just took the quiz !!

True , Network analysts should be concerned with these specific properties and patterns that arise in real-world networks since they have important implications for the network's behavior and performance.

Random graphs are mathematical structures that do not have any inherent structure or patterns. They are created by connecting nodes randomly without any specific rules or constraints. Real-world networks, on the other hand, have a certain structure and properties that arise from the way nodes are connected based on specific rules and constraints.

Network analysts use various mathematical models and algorithms to analyze and understand real-world networks. These networks can range from social networks, transportation networks, communication networks, and many others. The goal of network analysis is to uncover the underlying structure and properties of these networks, which can then be used to make predictions, identify vulnerabilities, and optimize their design. Random graphs are often used as a baseline or reference point for network analysis since they represent the simplest form of a network. However, they are not an accurate representation of real-world networks, which are often characterized by specific patterns and properties. For example, many real-world networks exhibit a small-world property, meaning that most nodes are not directly connected to each other but can be reached through a small number of intermediate nodes. This property is not present in random graphs.

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The value of 1 standard deviation from the mean is 42

The sample mean can be understood as an estimator of the population mean, as well as, the proportion observed in the sample is an estimator of the proportion in the population.

We have the information from the question is:

The distribution has a mean of 41

and, standard deviation is 1

To find the value of 1 standard deviations from the mean.

Now, According to the question:

We use the formula :

Calculated value = μ + zσ

where;

μ is mean

σ is standard deviation

Hence, the value that would be +1 standard deviations from the mean is;

Calculated value = 1 + 1(41)

Calculated value = 42

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Answer:

To obtain the third side of an isosceles triangle with two sides known, use the Pythagorean theorem if it is a right triangle or provide additional information if it is no

Step-by-step explanation:

You can follow these steps:

Identify the two sides that are known. In an isosceles triangle, these will be the two equal sides, often referred to as the legs of the triangle.

Determine the length of the base. The base is the third side of the triangle, and it is the side that is not equal to the other two sides.

If the isosceles triangle is also a right triangle, you can use the Pythagorean theorem to find the length of the base. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. So, you can use the formula:

base^2 = (leg1)^2 + (leg2)^2

Take the square root of both sides to solve for the base:

base = √((leg1)^2 + (leg2)^2)

If the isosceles triangle is not a right triangle, you need additional information to determine the length of the base. This could be the measure of an angle or another side length.

Remember that the lengths of the two equal sides (legs) in an isosceles triangle are always equal, while the length of the base is different.

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Answer:

I'm pretty sure the answer is -2x -6

Answer:

It is! The correct answer is -98/5 or -19.6

Step-by-step explanation:

The number of fewer people living in Todsham in 6 years compared with now, found using the formula for population growth rate, is about 79,500 people

The formula for finding the population of a town after a specified number of years, where the rate of change of the population, and the number of people in the town are known can be presented as follows;

P = A·(1 - r)ˣ

Where;

P = The current population of the town = The population after the indicated duration

A = The initial population of the town = 300,000

r = The population growth rate = 5%

The population after 6 years is therefore;

P = 300,000 × (1 - 0.05)⁶ ≈ 220,527

The number of fewer people living in Todsam in 6 years = 300,000 - 220,527 = 79473 ≈ 79,500

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A bivariate probability distribution is a statistical distribution that describes the joint probability of two random variables. It provides the probability of each combination of values for the two variables. In simple words, it's a way to model the joint probability of two variables and the relationship between them.

A bivariate probability distribution is represented by a probability density function (pdf) or a probability mass function (pmf) depending on whether the variables are continuous or discrete. The function gives the probability of a given pair of values of the two variables. Bivariate probability distributions are useful in understanding the relationship between two variables and can be used to make predictions or draw inferences. It can be visualized using a scatter plot, a contour plot or a 3D plot. It can also be used to calculate the covariance and correlation between the two variables.

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Complete question:

Describe Bivariate Probability Distribution.

Answer:

y = -5/4x + 17

Step-by-step explanation:

Answer:

option 3

Step-by-step explanation:

in order for them to be perpendicular the slope and slope sign flips

so it goes from 4/5 to -5/4.

The y intercept does not matter it when finding an equation that is perpendicular

According to the given statement the inequality is 313131c + 191919m ≤ 706706.

To represent the condition based on the number of employees, we can write the following inequality:

313131c + 191919m ≤ 706706

- Let c denote the number of cars and m denote the number of motorcycles.

- Since it takes 313131 employees to build a car and 191919 employees to build a motorcycle, we multiply the number of cars (c) by 313131 and the number of motorcycles (m) by 191919.

- The total number of employees used should be at most 706706 (as stated in the question).

The inequality 313131c + 191919m ≤ 706706 represents the condition based on the number of employees for Genghis Motors to spend more than \$84000 to build cars and motorcycles, using at most 706706 employees.

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Answer:

-7.25

Step-by-step explanation:

because the dolphin is going down, its negative so you add -4.5+-2.75

Answer:

The correct answer is x - (7 + i).

In the triangle LMN angle N is 76 degree.

Given,

In the question:

There is two isosceles triangle in the figure:

Triangle JKL and Triangle LMN

Angle J = 64 degree

To find the angle Angle N

Now, According to the question:

The triangle is isosceles.

<J = 64 degrees

All triangles have 180

<JLK = 180 - 64 - 64

Angle JLK = 52degree.

Angle JLK = MLN  = 52 degree (Vertical opposite angle )

M is the left over from the 2 equal angles.

N = 180 - <M - < MLN                      

N = 180 - 52 - 52

N = 76 degree

Hence, In the triangle LMN angle N is 76 degree.

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The distance between the points (-4, 1) and (1, -3) is approximately sqrt(41), which is approximately 6.40 units (rounded to two decimal places).

The distance between the points (-4, 1) and (1, -3) can be calculated using the distance formula in two-dimensional space. The formula is derived from the Pythagorean theorem and involves finding the square root of the sum of the squared differences between the x-coordinates and y-coordinates of the two points. Applying this formula, the distance between the given points is approximately 5 units.

To find the distance between the points (-4, 1) and (1, -3), we can use the distance formula in two-dimensional space. The formula is derived from the Pythagorean theorem and can be expressed as follows:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, we have the following coordinates:

x1 = -4

y1 = 1

x2 = 1

y2 = -3

Substituting these values into the distance formula, we get:

distance = sqrt((1 - (-4))^2 + (-3 - 1)^2)

        = sqrt((1 + 4)^2 + (-3 - 1)^2)

        = sqrt(5^2 + (-4)^2)

        = sqrt(25 + 16)

        = sqrt(41)

Thus, the distance between the points (-4, 1) and (1, -3) is approximately sqrt(41), which is approximately 6.40 units (rounded to two decimal places).

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The patient can consume approximately 2 cans of 12 oz Coca Cola without exceeding the advised sugar limit.

To determine the number of 12 oz cans of Coca Cola the patient can consume, we need to convert the sugar limit provided by the doctor into grams and then calculate the amount of sugar in a 12 oz can of Coca Cola.

Provided:

Sugar limit: 8.5 × 10^(-2) kg

Coca Cola sugar content: 110 g/L

Volume of a 12 oz can: 12 oz (which is approximately 355 mL)

First, let's convert the sugar limit from kilograms to grams:

Sugar limit = 8.5 × 10^(-2) kg = 8.5 × 10^(-2) kg × 1000 g/kg = 85 g

Next, we need to calculate the amount of sugar in a 12 oz can of Coca Cola:

Volume of a 12 oz can = 355 mL = 355/1000 L = 0.355 L

Amount of sugar in a 12 oz can of Coca Cola = 110 g/L × 0.355 L = 39.05 g

Now, we can determine the number of cans the patient can consume by dividing the sugar limit by the amount of sugar in a can:

Number of cans = Sugar limit / Amount of sugar in a can

Number of cans = 85 g / 39.05 g ≈ 2.18

Since the number of cans cannot be fractional, the patient should limit their consumption to 2 cans of Coca Cola.

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Answer:

$1555.91

Step-by-step explanation:

First Month:

You start out with $500.

You add $200 in the first month, and have 700.

Multiply 700 by 1.01, to add the interest and you get 707.

Second Month:

707 + 200 = 907

907 x 1.01 = 916.07

Third Month:

916.07 + 200 = 1116.07

1116.07 x 1.01 = 1127.2307

Fourth Month:
1127.2307 + 200 = 1327.2307

1327.2307 x 1.01 = 1340.503007 (round to .50)

Fifth Month:

1340.50 + 200 = 1540.50

1540.50 x 1.01 = 1555.905

Round to 1555.905 1555.91, and there's your answer. Hope this helps!

dv/dt = -kx - cv represents the equation for a spring with negative friction.

The equation for a spring with negative friction can be described by the following second-order differential equation:

dx/dt = v

dv/dt = -kx - cv

where x is the position of the spring, v is the velocity of the spring, k is the spring constant, and c is a negative friction coefficient. The equation models the motion of a spring with friction, where the friction acts in the opposite direction to the velocity and slows down the motion of the spring. The negative sign in front of the friction coefficient c indicates that the friction has a negative effect on the velocity.

Therefore, dv/dt = -kx - cv represents the equation for a spring with negative friction.

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Answer:

the slope is m= 2

Answer:

2

Step-by-step explanation:

Slope is (y1 - y2) / (x1 - x2) for any 2 respective x's and y's.

For any of the points here, you get 2.

The number 24.5 in Roman numerals is XXIV. The Roman numeral system is a numeral system that originated in ancient Rome and was used in the Roman Empire and Europe until the 14th century.

It is a numeric system that uses specific letters from the alphabet to represent different numbers.To express decimal numbers in Roman numerals, a vinculum is used.

This is a horizontal line placed above the letters that represent the number being multiplied by 1000.

Therefore, to convert 24.5 into Roman numerals, we separate 24 into two parts:

20 and 4.5. 20 is represented by XX, while 4.5 is represented by the half symbol s, which is indicated by placing a horizontal line above the previous number.

Thus, 24.5 is represented as XXIVSs. Note that the use of the half symbol (s) is not universal in Roman numerals, and there are different ways to express decimal numbers in Roman numerals.

However, the use of the vinculum is one of the most common ways to represent decimal numbers in this numeral system.

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