PLEASE HELP ME QUICKLY!!!!!!!!!!!!!!!!

Answer:

-16

Step-by-step explanation:

De nada

There is no stationary point of z subject to the constraint x + 2y = 0.To use the Lagrange multiplier method to find the stationary values of z: z = 7 + y + x subject to x + 2y = 0, the Lagrangian function is constructed as follows:L = z + λ(x + 2y). Here, λ is the Lagrange multiplier. The partial derivatives of L are:Lx = λLy = λLz = 1

Solve the constraint equation: x + 2y = 0 for x: x = -2y.Substituting this value for x in the expression for L, we get:L = z - 2λy + λx = z - 3λyDifferentiate with respect to y:L'y = -3λ = 0Therefore, λ = 0.The expression for L becomes:L = zFind the partial derivative of L with respect to z:Lz = 1Setting this derivative equal to zero, we get:1 = 0This equation has no solution.Therefore, there is no stationary point of z subject to the constraint x + 2y = 0.

The Lagrange multiplier method is used to determine the stationary points of a function f(x,y) subject to a constraint g(x,y) = c, where c is a constant. The method involves constructing the Lagrangian function L(x,y,λ) = f(x,y) - λ[g(x,y) - c] and solving the equations ∂L/∂x = 0, ∂L/∂y = 0, and ∂L/∂λ = 0 to find the stationary points. If a stationary point is found, it must be checked to see whether it is a maximum, minimum, or saddle point by using the second derivative test. If the method fails to find a stationary point, it means that the function has no maximum or minimum value subject to the constraint. This is the case in the present question.

To know more about Lagrange multiplier visit :-

https://brainly.com/question/30776684

#SPJ11

The value of dimensions of a triangular prism a = 5m, dimension a = 15m and dimension c = 9m.

A prism is a solid form that is enclosed by plane faces on all of its sides. A prism has two different kinds of faces. Bases refer to the identical top and bottom faces. The name "prism" refers to the form of these bases. For instance, a prism is referred to be a triangular prism if its base is triangular.

The faces of a prism that are not the top and bottom are referred to as its lateral faces. The class of parallelograms also includes all the lateral faces, all of which are identical to one another.

To find the dimensions of a, b and c, we first open all  the faces of prism in first figure, than we compare it with second figure, we find that,

The value of dimensions of a triangular prism a = 5m, dimension a = 15m and dimension c = 9m.

To learn more about length of prism visit:

brainly.com/question/16040239

#SPJ1

To evaluate the integral ∫(7x^2 - 12x)e^(2x) dx using integration by parts, we can follow the integration by parts formula:

∫u dv = uv - ∫v du

Let's assign u and dv as follows:

u = 7x^2 - 12x (choose the polynomial term to differentiate)

dv = e^(2x) dx (choose the exponential term to integrate)

Now, let's differentiate u and integrate dv:

du = (d/dx)(7x^2 - 12x) dx = 14x - 12

v = ∫e^(2x) dx = (1/2)e^(2x)

Applying the integration by parts formula, we have:

∫(7x^2 - 12x)e^(2x) dx = u * v - ∫v * du

Substituting the values:

∫(7x^2 - 12x)e^(2x) dx = (7x^2 - 12x) * (1/2)e^(2x) - ∫(1/2)e^(2x) * (14x - 12) dx

Simplifying, we get:

∫(7x^2 - 12x)e^(2x) dx = (7/2)x^2e^(2x) - 6xe^(2x) - ∫7xe^(2x) dx + 6∫e^(2x) dx

Now, we can integrate the remaining terms:

∫7xe^(2x) dx can be evaluated using integration by parts again. Let's assign u and dv:

u = 7x (choose the polynomial term to differentiate)

dv = e^(2x) dx (choose the exponential term to integrate)

Differentiating u and integrating dv:

du = (d/dx)(7x) dx = 7 dx

v = ∫e^(2x) dx = (1/2)e^(2x)

Applying integration by parts to ∫7xe^(2x) dx, we have:

∫7xe^(2x) dx = u * v - ∫v * du

             = 7x * (1/2)e^(2x) - ∫(1/2)e^(2x) * 7 dx

             = (7/2)xe^(2x) - (7/2)∫e^(2x) dx

             = (7/2)xe^(2x) - (7/4)e^(2x)

Now, we can substitute this back into our original equation:

∫(7x^2 - 12x)e^(2x) dx = (7/2)x^2e^(2x) - 6xe^(2x) - 7/2xe^(2x) + 7/4e^(2x) + 6∫e^(2x) dx

Simplifying further:

∫(7x^2 - 12x)e^(2x) dx = (7/2)x^2e^(2x) - (11/2)xe^(2x) + (7/4)e^(2x) + 6(1/2)e^(2x) + C

Finally, the definite integral would involve substituting the limits of integration into this expression.

To learn more about  integral  click here:

brainly.com/question/32513587?

#SPJ11

The cost of each pendant is $3.60 if the total cost of the beads and a pendant for all 4 necklaces is $24.80.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

For example 4/2 = 2

Goran made 4 identical necklaces each having beads and a pendant the total cost of the beads and a pendant for all 4 necklaces is $24.80 if the beads cost $10.40

Price for each necklace = 24.80 / 4 = $6.20

cost of beads + cost of pendant = $24.80

$10.40  + cost of pendant = $24.80

cost of cost of pendant= $24.80 - $10.40 = $14.4

So cost of each pendant = $14.4 / 4

cost of each pendant = $3.6

Therefore, the cost of each pendant is $3.60.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ1

The name for a data value that is far above or below the rest is called an outlier.

An outlier is an observation that deviates significantly from other observations in a dataset. It is an extreme value that lies outside the typical range of values and may have a disproportionate impact on statistical analyses and calculations. Outliers can occur due to various reasons, including measurement errors, data entry mistakes, or genuine rare events. Identifying and handling outliers appropriately is important in data analysis to ensure accurate and reliable results.

When dealing with outliers, it is important to assess whether they are the result of errors or genuine extreme values. Statistical techniques, such as box plots, scatter plots, or z-scores, can be used to detect outliers. Once identified, the appropriate action depends on the nature and cause of the outliers. In some cases, outliers may need to be corrected or removed from the dataset, while in other cases, they may provide valuable insights or require further investigation.

To learn more about data: https://brainly.com/question/179886

#SPJ11

Answer:

A,C,D are triangles, B is not.

Step-by-step explanation:

Let 3 sides of a triangle be a,b,c.

A triangle have the sum of 3 angles = 180 degree

and

a-b<c<a+b (similar for a and b)

a. three sides measuring 6 cm, 8 cm, and 10 cm

Satisfied the a-b<c<a+b property -> triangle

b. three angles measuring 40 degrees, 70 degrees, and 65 degrees

Total of 3 angles = 40+70+65 = 175 > 180

-> not triangle

c. three angles measuring 10 degrees, 25 degrees, and 145 degrees

Total of 3 angles = 10+25+145 = 180

-> triangle

d. three sides measuring 9 m, 15 m, and 9 m

Satisfied the a-b<c<a+b property -> triangle

Answer:

C

All triangle must equal 180, 40 + 70 + 65 = 175

The given statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is False.

The union of two events A and B represents the event that at least one of the events A or B occurs. The probability of the union of two events can be calculated using the formula:

P(A or B) = P(A) + P(B) - P(A and B)

On the other hand, the intersection of two events A and B represents the event that both events A and B occur. The probability of the intersection of two events can be calculated using the formula:

P(A and B) = P(A) * P(B|A)

where P(B|A) is the conditional probability of B given that A has occurred.

It is possible for the probability of the union of two events to be greater than the probability of the intersection of two events if the two events are not mutually exclusive.

In this case, the probability of both events occurring together (the intersection) may be relatively small, while the probability of at least one of the events occurring (the union) may be relatively high.

In summary, the probability of the union of two events occurring can sometimes be greater than the probability of the intersection of two events occurring, depending on the relationship between the events.

To learn more about probability click on,

https://brainly.com/question/30648713

#SPJ4

The value of x is equal to; A. 5.

In Mathematics, the basic proportionality theorem states that when any of the two (2) sides of a triangle is intersected by a straight line which is parallel to the third (3rd) side of the triangle, then, the two (2) sides that are intersected would be divided proportionally and in the same ratio.

By applying the basic proportionality theorem to the given triangle, we have the following:

x/(x + 5) = (x - 2)/(x + 1)

By cross-multiplying, we have the following:

x(x + 1) = (x - 2)(x + 5)

x² + x = x² + 5x - 2x - 10

By rearranging and collecting like-terms, the value of x is given by:

2x - 10 = 0

2x = 10

x = 10/2

x = 5.

Read more on basic proportionality theorem here: brainly.com/question/3213812

#SPJ1

Answer:

80 or 100

Step-by-step explanation:

hope you find the answer

Answer:

it's 105°

solution:-

Because we know that exterior angle of a triangle is equal to it's sum of the opposite interior angles.

Step-by-step explanation:

therefore,

ATP(according to the problem) - sum of opposite interior angles = ?

- 80°+25°= 105°

(Ans) is 105°

Total revenue is calculated by multiplying the price per unit by the quantity produced and sold. This calculation provides valuable insights into a firm's sales performance and helps in assessing the financial health of the business.

A firm's total revenue is calculated by multiplying the quantity produced by the price at which each unit is sold. To calculate the total revenue, you can use the following equation:

Total Revenue = Price × Quantity Produced

where Price represents the price per unit and Quantity Produced represents the total number of units produced and sold.

For example, let's say a company sells a product at a price of $10 per unit and produces 100 units. The total revenue can be calculated as:

Total Revenue = $10 × 100 units

Total Revenue = $1,000

So, the firm's total revenue in this case would be $1,000.

To know more about calculating total revenue, refer here:

#SPJ11

Total revenue is an important metric for businesses as it indicates the overall sales generated from the production and sale of goods or services. By calculating the total revenue, companies can evaluate the effectiveness of their pricing strategies and determine the impact of changes in quantity produced or price per unit on their overall revenue.

It is essential for businesses to monitor and analyze their total revenue to make informed decisions about production levels, pricing, and sales strategies.

To know more about total revenue, refer here:

https://brainly.com/question/25717864#

#SPJ11

Answer:

2 + 6 = 8. So Brendon gets 3 x (36/8)

13.5???

Step-by-step explanation:

No, it is not possible to draw an quilateral triangle for which the circumecenter, incenter, centroid, and orthocenter are not all the same point.

An equilateral triangle, which is frequently referred to as a "regular" triangle, is a triangle with three equal-length sides.

For the stated question-

Thus, the statement given by the friend is incorrect.

To know more about the equilateral triangle, here

https://brainly.com/question/17264112

#SPJ4

Answer:

8.50x \(\geq\) 348.50

41 hours

Step-by-step explanation:

x= amount of hours

Answer:

3xup2

Step-by-step explanation:

xup2+3x=3xup2

my answer needs to be atleast 20 words long

Answer:

To find the zeros ( roots ) of f(x). Put f(x) = 0.

We have :

\(0 = 10 - \sqrt{8 - x \\ } \\ \sqrt{8 - x} = 10 \\ 8 - x = 100 \\ 8 - 100 = x \\ x = - 92\)

Precession and nutation are two distinct motions of a spinning top or gyroscope. Precession is a slow, uniform motion that results from the gravitational force acting on a spinning top or gyroscope.

It is a slow, uniform motion in which the spinning object's axis of rotation moves in a cone-like motion.

Nutation is a fast, non-uniform motion that is caused by the torque of a nearby force. It is a rapid, irregular motion that causes the spinning object's axis of rotation to wobble back and forth.

Precession is a regular, predictable motion, whereas nutation is an unpredictable, irregular motion. Precession is typically used to describe the motion of a satellite or planet in its orbit, while nutation is used to describe the motion of a spinning top or gyroscope.

To learn more about rotation visit:

https://brainly.com/question/98217

#SPJ4

Precession and nutation are two different types of rotational movements in astronomy.

Precession refers to the slow, conical movement of an object's rotational axis, which changes the orientation of the object over time. In the case of Earth, precession causes the direction of the North Pole to change over time.

Nutation, on the other hand, is a rapid, irregular movement of an object's rotational axis. It is caused by the combined gravitational forces of the Sun, Moon, and other celestial bodies on the Earth. Unlike precession, nutation occurs in small, cyclical changes in the orientation of the rotational axis, causing the axis to move slightly back and forth.

In summary, precession is a slow, systematic change in the orientation of an object's rotational axis, while nutation is a rapid, irregular movement of the axis caused by external forces.

Learn more about Precession and nutation:

https://brainly.com/question/27642503

#SPJ4

Answer:

-290

Step-by-step explanation:

Just times -10 by 52

The area bounded by the circle =2 and the rays =5, and = is 4π/3 square units.

To compute the area bounded by the circle =2 and the rays =5, and = as an integral in polar coordinates, we can use the formula:

A = (1/2)∫[b,a] r² dθ

where r is the polar radius, and a and b are the angles where the rays intersect the circle.

Since the circle has a radius of 2, we have r = 2 for the equation of the circle. We also know that the rays intersect the circle at angles π/3 and 5π/3 (or 2π/3 and 4π/3 in the standard position).

Therefore, we have:

A = (1/2)∫[2π/3,4π/3] (2)² dθ
A = 2∫[2π/3,4π/3] dθ
A = 2(4π/3 - 2π/3)
A = 2(2π/3)
A = 4π/3

So, the area bounded by the circle =2 and the rays =5, and = is 4π/3 square units.

To learn more about area here:

brainly.com/question/26315835#

#SPJ11

Answer:

for answer to be 2

mod of x +2 should be equal to 1

so the answer will be x = -3 or -1

for x = 1 we will get gx 0

for g(x) = -2 mod x +2 should be equal to 5

so x is -7 or 3

There are four pancake combos, the total bill for Kacey and her friends is $7.05 * 4 = $28.20.

To calculate the total bill, we need to determine the amount of the discount, the sales tax, and the tip. Let's break down the calculations step by step:

Discount: The special offer is 30% off. To find the discount amount, we multiply the original price by 30% (0.30). The original price of each pancake combo is $7.75, so the discount is $7.75 * 0.30 = $2.33 off.

Subtotal: The subtotal is the original price minus the discount. So, the subtotal for each pancake combo is $7.75 - $2.33 = $5.42.

Sales Tax: The sales tax rate is 8.75%. To calculate the sales tax amount, we multiply the subtotal by 8.75% (0.0875). The sales tax for each pancake combo is $5.42 * 0.0875 = $0.47.

Tip: The tip is calculated based on the amount before the discount. Since the tip is 15%, we multiply the original price by 15% (0.15). The tip for each pancake combo is $7.75 * 0.15 = $1.16.

Total Bill: The total bill is the subtotal plus the sales tax, plus the tip. For each pancake combo, the total bill is $5.42 + $0.47 + $1.16 = $7.05.

Since there are four pancake combos, the total bill for Kacey and her friends is $7.05 * 4 = $28.20.

Visit here to learn more about Sales Tax:

brainly.com/question/29442509

#SPJ11

Answer:

60 degrees

Step-by-step explanation:

Answer:

60 degrees

Step-by-step explanation:

You can use either the inner scale or the outer scale.

Inner scale:

90 - 30 = 60

Answer: 60 degrees

Outer scale:

150 - 90 = 60

Answer: 60 degrees

The cost of 1 box of dog food is $ 7 and cost of 1 can of cat food is $ 8  

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

here, we have,

Given data ,

Let the cost of 1 box of dog food be = x

Let the cost of 1 can of cat food be = y

The cost of 1 box of dog food and 2 cans of cat food = $ 23

The cost of 2 boxes of dog food and 1 can of cat food = $ 22

So , the equation will be

1x + 2y = 23   be equation (1)

2x + 1y = 22   be equation (2)

Now , Multiply equation (1) by 2 , we get

2x + 4y = 46   be equation (3)

On Subtracting equation (2) from equation (3) , we get

3y = 24

Divide by 3 on both sides , we get

y = $ 8

Substituting the value of y in equation (1) , we get

x + 2 ( 8 ) = 23

x + 16 = 23

Subtracting 16 on both sides , we get

x = $ 7

Therefore , the value of x is $7 and value of y is $ 8

Hence , the cost of 1 box of dog food is $ 7  and the cost of 1 can of cat food is $ 8  

To learn more about equations click :

brainly.com/question/10413253

#SPJ1

Answer:

x = 1 , y = 1 , z = -3

Step-by-step explanation using elimination:

Solve the following system:

{3 x + 2 y - z = 8 | (equation 1)

2 z + 2 x = -4 | (equation 2)

3 y + x = 4 | (equation 3)

Subtract 2/3 × (equation 1) from equation 2:

{3 x + 2 y - z = 8 | (equation 1)

0 x - (4 y)/3 + (8 z)/3 = -28/3 | (equation 2)

x + 3 y+0 z = 4 | (equation 3)

Multiply equation 2 by 3/4:

{3 x + 2 y - z = 8 | (equation 1)

0 x - y + 2 z = -7 | (equation 2)

x + 3 y+0 z = 4 | (equation 3)

Subtract 1/3 × (equation 1) from equation 3:

{3 x + 2 y - z = 8 | (equation 1)

0 x - y + 2 z = -7 | (equation 2)

0 x+(7 y)/3 + z/3 = 4/3 | (equation 3)

Multiply equation 3 by 3:

{3 x + 2 y - z = 8 | (equation 1)

0 x - y + 2 z = -7 | (equation 2)

0 x+7 y + z = 4 | (equation 3)

Swap equation 2 with equation 3:

{3 x + 2 y - z = 8 | (equation 1)

0 x+7 y + z = 4 | (equation 2)

0 x - y + 2 z = -7 | (equation 3)

Add 1/7 × (equation 2) to equation 3:

{3 x + 2 y - z = 8 | (equation 1)

0 x+7 y + z = 4 | (equation 2)

0 x+0 y+(15 z)/7 = -45/7 | (equation 3)

Multiply equation 3 by 7/15:

{3 x + 2 y - z = 8 | (equation 1)

0 x+7 y + z = 4 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Subtract equation 3 from equation 2:

{3 x + 2 y - z = 8 | (equation 1)

0 x+7 y+0 z = 7 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Divide equation 2 by 7:

{3 x + 2 y - z = 8 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Subtract 2 × (equation 2) from equation 1:

{3 x + 0 y - z = 6 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Add equation 3 to equation 1:

{3 x+0 y+0 z = 3 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Divide equation 1 by 3:

{x+0 y+0 z = 1 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Collect results:

Answer: {x = 1 , y = 1 , z = -3

The exponential equation is \(y=ab^x\). Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

To learn more about coefficient visit:

brainly.com/question/987822

#SPJ1

The exponential equation is y = \(ab^{x}\) . Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

The formula for exponential regression is y = \(ab^{x}\) . This refers to the process of arriving at the best exponential curve equation for your dataset. This regression is very similar to linear regression and tries to find the best (straight line) line equation for a data set.

Exponential regression refers to the process of obtaining the best exponential curve equation for a data set.

A model that explains the process of doubling growth.

The exponential equation is y = \(ab^{x}\)

Exponential functions are commonly used in life sciences and are used to represent the specific quantity that you want to model. B. Population size modeled over time. Plots of experimental data are usually plotted with time on the x-axis and quantity on the y-axis.

To learn more about coefficient visit:

https://brainly.com/question/28975079

#SPJ1

The finance charge after the purchases and payment for a single billing period is $12.38.

The finance charge is the multiplication of the average daily balance and the monthly periodic rate.

To calculate the finance charge for a single billing period, we need to determine the average daily balance and then multiply that by the daily rate and the number of days in the billing period.

Here's the calculation:

Purchase 1: $100

Purchase 2: $200

Payment: $150

Average daily balance: (100 + 200) / 2 = $150

Daily rate: 15.5% / 365 days = 0.0425%

Finance charge: $150 x 0.0425% * 31 days = $12.38

So, the finance charge is $12.38.

Learn more about the finance charges here:

https://brainly.com/question/808640

#SPJ1

Answer:

\(Pr(x) = \frac{1}{6}\)

Step-by-step explanation:

Given

\(n = 30\) --- number of rolls

Required

The theoretical probability of rolling: (a) 1    (b) 4    (c) 6    (d) 7

Assume the cube is 6 sided.

The sample space is:

\(S = \{1,2,3,4,5,6\}\)

And the probability of each is:

\(Pr(x) = \frac{1}{6}\)

Irrespective of the number of rolls, the theoretical probability of (a). (b), (c) and (d) is:

\(Pr(x) = \frac{1}{6}\)