Solve the inequality
-2y- 5 > 5/2

By using the Lagrange multipliers, the two points on the cone that is closest to (14, 8, 0) are:

(7, 4, √65) and (7, 4, -√65)

We want to minimize the distance between the point (14, 8, 0) and the points on the cone z^2 = x^2 + y^2. The distance squared between two points (x_1, y_1, z_1) and (x_2, y_2, z_2) is given by:

d^2 = (x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2

In our case, we want to minimize the distance squared between (14, 8, 0) and a point (x, y, z) on the cone z^2 = x^2 + y^2:

d^2 = (x - 14)^2 + (y - 8)^2 + z^2

Subject to the constraint z^2 = x^2 + y^2. We can use Lagrange multipliers to solve this constrained optimization problem. Let L be the Lagrangian:

L = (x - 14)^2 + (y - 8)^2 + z^2 - λ(z^2 - x^2 - y^2)

Taking the partial derivatives of L with respect to x, y, z, and λ, and setting them to zero, we get:

2(x - 14) - 2λx = 0.....(1)

2(y - 8) - 2λy = 0.....(2)

2z - 2λz = 0.....(3)

z^2 - x^2 - y^2 = 0.....(4)

Simplifying the third equation, we get z(1 - λ) = 0. Since we want to find points where z is not zero, we must have λ = 1. Then, from the first two equations, we get x = 7 and y = 4. Substituting these values into the fourth equation, we get:

z^2 = x^2 + y^2 = 65

So the two points on the cone that is closest to (14, 8, 0) by using  Lagrange multipliers are:

(7, 4, √65) and (7, 4, -√65)

To know more about the "Lagrange multipliers": https://brainly.com/question/4609414

#SPJ11

The correct answer is option  A: The random variable is discrete. A decibel is a unit of measure used to quantify the loudness or intensity of sound.

From 0 dB (the quietest level of sound) to 140 dB (the loudest level of sound), it is measured on a logarithmic scale (the highest level of sound).

The decibel level of a siren is normally between 110 and 120 dB, which is regarded to be within or close to the threshold of human hearing.

The decibel level of a siren is measured on a logarithmic scale, making it a discrete variable. This indicates that it is measured in whole numbers rather than fractions of a decibel.

For instance, a siren's decibel level can be 110 dB, 111 dB, 112 dB, etc., but it cannot be 110.5 dB or 111.5 dB. Therefore, the decibel level of a siren is a discrete variable.

To learn more about variable visit:

https://brainly.com/question/28248724

#SPJ4

Answer:

7y=3x + 58

Step-by-step explanation:

slope = m = (10-7)/4+3) = 3/7

y=3x/7+b

plug in either point to solve for b=y intercept

10=(3/7)/4+b =12/7+b

b =10-12/7 = 58/7

y=3x/7 + 58/7 or

eliminate the fractions

multiply by 7 to get

7y=3x + 58

Answer:

44 p points in 4 quarters = llets per Qtr.

To calculate SAM and SOM, you need to follow the following steps:

1. SAM (Simple Arithmetic Mean): SAM is calculated by adding up all the values in a set of data and then dividing that sum by the number of values in the dataset.

Formula: SAM = (x1 + x2 + ... + xn)/n

Where x1, x2, ..., xn are the values in the dataset and n is the number of values in the dataset.

Example: If you have a dataset with the values 2, 4, 6, 8, 10, then the SAM would be (2+4+6+8+10)/5 = 30/5 = 6

2. SOM (Simple Geometric Mean): SOM is calculated by multiplying all the values in a set of data and then taking the nth root of that product, where n is the number of values in the dataset.

Formula: SOM = (x1 * x2 * ... * xn)^(1/n)

Where x1, x2, ..., xn are the values in the dataset and n is the number of values in the dataset.

Example: If you have a dataset with the values 2, 4, 6, 8, 10, then the SOM would be (2*4*6*8*10)^(1/5) = 3840^(1/5) = 5.16

To know more about SAM click here:

https://brainly.com/question/28145873

#SPJ11

=======================================================

Explanation:

To find out how much more company X charges, we subtract the two cost expressions

CompanyX - CompanyY = (3n+30)-(2n+15) = 3n+30-2n-15 = n+15 which is the final answer.

--------------

An example:

Let's say you talk on the phone for n = 20 minutes.

Company X would charge you 3n+30 = 3*20+30 = 90 cents

Company Y would charge you 2n+15 = 2*20+15 = 55 cents

The difference of which is 90-55 = 35 cents.

If you plugged n = 20 into the n+15 expression we got, then n+15 = 20+15 = 35 matches up with the previous 35 cents.

This example helps confirm the answer. I'll let you try out other examples.

Answer:

It is 9

Step-by-step explanation:

9x - 2 = 79

9x = 81

x = 9

Generalized Information Criterion (GIC) evaluates statistical models based on goodness of fit and complexity.

To reduce bias, increase model complexity, add relevant features, or decrease regularization.

To reduce variance, increase training data, use cross-validation, apply regularization, or employ ensemble methods. Balancing bias and variance improves model performance, as excessive bias leads to underfitting and excessive variance leads to overfitting.

The aim is to find the optimal level of complexity and generalization for accurate predictions.

Read more about statistical models here:

https://brainly.com/question/9509972

#SPJ4

The Complete Question

Explain the statistical model evaluation by generalized information criterion bias and variance reduction techniques

Answer:

Step-by-step explanation:

Did you try adding it all up and combine the like terms to get your answer

The system of equations x + y = 15 and 2x + 3y = 24

What is an equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

To substitute for the variable x in the equation x + y = 15, we can rearrange the equation to solve for x in terms of y:

x = 15 - y

Then we can substitute this expression for x in any other equation that involves x.

2(15 - y) + 3y = 24

Simplifying this equation gives:

30 - 2y + 3y = 24

y = -6

Then we can substitute this value back into our expression for x to get:

x = 15 - (-6) = 21

So the solution to the system of equations x + y = 15 and 2x + 3y = 24 is (x, y) = (21, -6), but the question only asked us to rewrite the equation to substitute for x.

To know more about equation visit,

https://brainly.com/question/22688504

#SPJ1

Yall are some cheaters. Quit looking it up on this website like, dang....

By completing the square, the equation in standard form is (x - 2)² + (y + 4)² = 4².

In Mathematics and Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

From the information provided below, we have the following equation of a circle:

x² - 4x + y² + 8y = -4

x² - 4x + (-4/2)² + y² + 8y + (8/2)² = -4 + (-4/2)² + (8/2)²

x² - 4x + 4 + y² + 8y + 16 = -4 + 4 + 16

(x - 2)² + (y + 4)² = 16

(x - 2)² + (y + 4)² = 4²

Therefore, the center (h, k) is (2, -4) and the radius is equal to 4 units.

Read more on equation of a circle here: brainly.com/question/15626679

#SPJ4

Complete Question:

Complete the square to rewrite the following equation in standard form. x² - 4x + y² + 8y = -4.

The total surface area that she paints is,

SA = 80 feet²

We have to given that;

A rectangular prism that measures 4 feet by 4 feet by 3 feet. A triangular pyramid sits on top. The base of one triangular face is 4 feet and the height of the face is 6 feet.

Hence, The total surface area that she paints is,

SA = SA of Cube + SA of triangular face

SA = (4 × 4 ) + (4 × 4 + 4 × 1/2 × 4 × 6)

SA = 16 + 16 + 48

SA = 80 feet²

Learn more about the cuboid visit:

https://brainly.com/question/26403859

#SPJ1

Answer:

x is greater or equal to 7

Step-by-step explanation:

Answer:

That's awesome have a wonderful day okay?

Step-by-step explanation:

The expected number of bower-birds that have bowers featuring reflective decor is 0.9

Expected number:

The expected number represents the average value for a given data. It is also called the mean value or mathematical expectation. It is denoted by E(X) and the formula is given by

The expected number E(X) = np

Here we have

Sample size 'n' = 20

Given the population consists of twenty bower birds, six of which have bowers featuring reflective decor.

Then the probability of success p = x/n  

=> p = 6/20 = 0.3

Given that three of the bower birds are randomly sampled with replacements

Then So we will choose sample size 'n'= 3  

The formula for the expected number of bower-birds that have bowers featuring reflective decor μ = n p                            

= 3 × 0.3                            

= 0.9

Learn more about the Expected number at

https://brainly.com/question/15089781

#SPJ4        

We can see that 2.1 is greater than 2.061.

Answer:

Y - (2,1)

X - (2,4)

W - 5,5)

V - (5,0)

Step-by-step explanation:

Translation: (x,y) → (x+7,y+5)

Coordinates:

Y(−5,−4) => (-5 + 7, -4 + 5) => (2,1)

X(−5,−1) => (-5 + 7, -1 + 5) = > (2,4)

W(−2,0) => (-2 + 7, 0 + 5) => (5,5)

V(−2,−5) => (-2 + 7, -5 + 5) => (5,0)

Answer:

1) 180°(Angle on a straight line)-45°

=135°

2)180°-90°=90°

3)180°-116°=64°

4)180°-(31°+32°)=117°

5)90°-60°=30°

Step-by-step explanation:

All angles on a straight line is 180°

A right angle is =90°

Answer: 3,000. The answer is 100% correct

Answer:

If an investment has a 25% probability of returning $2,000, a 25% probability of returning $4,000, and a 50% probability of returning $3,000, the expected value of the investment is $3,000.

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Answer:

We need more information to answer this question but if the other 4 children that were already born, if 2 or 3 out of the 4 were effected by Lalaphobia, then the 5th is 50% to 75% likely to be affected as well

Answer:

3,696

Step-by-step explanation:

7x24x22 equals 3,696

24x7=168

168x22=3,696

Answer:

1300

Step-by-step explanation:

130×10 thats the answer yoo

Answer:Let x be the price the trader paid for the toaster.

If he sold it for $10,000 and lost 15% of the original price, then he received 85% of the original price:

0.85x = $10,000

If we divide both sides by 0.85, we get:

x = $11,764.71

Therefore, the trader paid $11,764.71 for the toaster.

Step-by-step explanation:

By using natural logarithm, both towns will have about 15,929-15,942 people at that time.

Explain about natural logarithm ?

The natural logarithm, denoted by ln(x), is a mathematical function that is the inverse of the exponential function. It is a logarithmic function with a base of e, where e is a mathematical constant approximately equal to 2.71828.The natural logarithm of a positive number x is the power to which e must be raised to obtain x. In other words, if y = ln(x), then \(e^y = x.\)

According to the question :

For the first town, the equation to model the population is:

\(pa = 8500(1 + 0.03)^t\)

For the second town, the equation to model the population is:

\(pb = 12250(1 - 0.02)^t\)

To find when the two towns will have the same population, we can set pa = pb and solve for \(t:8500(1 + 0.03)^t = 12250(1 - 0.02)^t\)

Dividing both sides by 8500:(1 + 0.03)^t = 1.4412

Taking the natural logarithm of both sides:

t ln(1.03) = ln(1.4412)Solving for t:t = ln(1.4412)/ln(1.03) ≈ 16.6 years

Therefore, the two towns will have the same population in about 16.6 years.

To find the population at that time, we can substitute t = 16.6 into either equation.

Using the first equation, we get: \(pa = 8500(1 + 0.03)^16.6 = 15,929\)

Using the second equation, we get: \(pb = 12250(1 - 0.02)^16.6 ≈ 15,942\)

So, both towns will have about 15,929-15,942 people at that time.

To know more about natural logarithm visit:

https://brainly.com/question/11630468

#SPJ1

Answer:

After Multiplying them.

we get 0 as an answer.

Answer:

Step-by-step explanation:

\((5^3)^5=5^{15}\) which is absolutely huge. In scientific notation it is

3.051757813 × 10¹⁰

Answer:

(5×5×5)=125

125^5=30,517,578,125

final answer=30,517,578,125

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Got it right on Edge 2020

Answer:

11.66 ft

Step-by-step explanation: