Please help me do this

Here's a Python program (Filename: optimization.py) to perform the optimization problem: Minimize x

3
 −2cos(x)+9 s.t. 0≤x≤2The optimization problem is to find the minimum value of x
3
 −2cos(x)+9 when 0≤x≤2. This optimization problem can be approximately solved by simply searching in the feasible range. In the program, you can simply define a list x = [0, 0.01, 0.02, …, 1.98, 1.99, 2.0]. Also, define an objective function as f(x) = x
3
 −2cos(x)+9 and search for the minimum f(x) of different values in the list x.```python
import math
x = [0.01*i for i in range(201)]
min_val = 1e18
opt_x = 0
def f(x):
   return x**3 - 2*math.cos(x) + 9
for xi in x:
   if xi>=0 and xi<=2:
       fval = f(xi)
       if fval

To know more about optimization problems: https://brainly.com/question/14160739

#SPJ11

The value of x based on the equation given as 3(4x + 6) = 9x + 12 is -2.

It should be noted that an equation shows that relationship between the variables that are given or illustrated in the data.

The value for x based on the equation will be:

3(4x + 6) = 9x + 12

Open bracket

12x + 18 = 9x + 12

Collect like terms

12x - 9x = 12 - 18

3x = -6

Divide

x = -6/3

x = -2

Therefore, x is -2.

Learn more about equations on:

brainly.com/question/13763238

#SPJ1

The linear equation which can be used to represents Curtis weekly salary is S = 8H + 0.02C

Weekly salary = Curtis wage per hour(Hours Worked) + Percentage commission(Commission earned on total sales)

S = 8(H) + 2%(C)

S = 8H + 0.02(C)

S = 8H + 0.02C

So therefore, Curtis linear equation for his weekly salary is S = 8H + 0.02C

Read more on linear equation:

https://brainly.com/question/4074386

#SPJ1

Answer:

3:7

Step-by-step explanation:

So to solve this problem, you have to understand what the ratio 1:4 and 2:3 means. The 1:4 ratio in the first equation means that for "each unit of alcohol" there is 4 of those units of water. So let's say I had 2 gallons of alcohol and mixed it with 8 gallons of water. This means for each gallon of alcohol, there is 4 gallons of water, or in other words a 1:4 ratio. This can be described as a percentage as well. For each 5 gallons there are 4 gallons of water, and 1 gallon of alcohol or 20% is alcohol. So let's just say that x=alcohol and y=water, this means that: \(x+y=c\)  where c is the total amount in the glass. This means that: \(x=0.20c\)

Let's do the same thing to the second equation. the ratio means that for every 2 units of alcohol there are 3 units of water. This means for every 5 gallons of the mixture there is 2 units of alcohol which is 40%. In this case let's also say that j=alcohol and k=water. This means that: \(j+k=c\) and that: \(j=0.40c\).

So if we're going to add the two glasses, we simply add the two sides, and get: \(j+x+k+y=2c\). Now remember how can can express j and x in terms of c, since it's a certain percentage of c (the entire thing). This means that we get: \((0.4c+0.2c)+x+k=2c\) Now we can add like terms to get the equation: \(0.6c+y+k=2c\). We can find how much 0.6c is to 2c by dividing the 2, in doing so we get that 0.6c/2c = 0.3, or in other words the 0.6c is only 30% of the final mixture, and since the 0.6c represents the alcohol in this mixture, that means that's the percentage of alcohol. To write this as a ratio, this means for every 3 units of alcohol, there is 7 units of water, because 3/10 = 30%.

Answer:

3 : 7

Step-by-step explanation:

We can do this question using a easier way.

For example, A glass contains sugar and water, the ratio to sugar to water is 2 : 5. And the second glass's sugar to water is 2 : 3. The mixture of the first glass is 200 mL. The mixture of the second glass is the same as the first glass.

This kind of glass question, is very important to Math.

Try using this to solve this question.

Answer:

$ 30

$ 20

Step-by-step explanation:

Sea el costo fijo xy el costo por km sea y suponiendo que es el mismo para ambos taxis.

De la pregunta obtenemos las dos ecuaciones

\(x+8y=190\quad ...(i)\)

\(x+5y=130\quad ...(ii)\)

Aplicando \((i)-(ii)\)

\(8y-5y=190-130\\\Rightarrow 3y=60\\\Rightarrow y=\dfrac{60}{3}\\\Rightarrow y=20\)

Sustituyendo en \((ii)\)

\(x+5y=130\\\Rightarrow x+5\times 20=130\\\Rightarrow x=130-100\\\Rightarrow x=30\)

Entonces, el costo fijo es de $ 30 y el costo por km es de $ 20.

The absolute value is:

Work/explanation:

First, we will evaluate 2-7.

It evaluates to -5.

Now, let's find the absolute value of -5 by using these rules:

\(\sf{\mid a\mid=a}\)

\(\sf{\mid-a \mid=a}\)

Similarly, the absolute value of -5 is:

\(\sf{\mid-5\mid=5}\)

Let's write the likelihood of a promotion as P(promotion) and the likelihood of a rise as P(raise). The following details are sent to us:

P (promotion) = 0,40 P (promotion or raise) 0,72 P (promotion and raise) 0,25The inclusion-exclusion concept can be used to calculate the likelihood of receiving a rise. This rule states that the probability of two events (A or B) coming together is equal to the sum of each event's individual probabilities less the likelihood that A and B will come together.

P(promotion or raise) equals P(promotion) + P(raise) – P(promotion andraise).

By substituting the specified values, we obtain:

0.7 = 0.40 + P (b) - 0.25

We can rewrite the equation to isolate P(raise) as follows:P(raise) = 0.72-0.40+0.25

P(rise) = 0.57

The likelihood of receiving a rise is therefore 0.57, or 57%.

learn more about likelihood here :

https://brainly.com/question/32361423

#SPJ11

∑ Hey, jillianwagler ⊃

Answer:

643

Step-by-step explanation:

Given:

\(\mathrm{3x- \frac{x}{2} +4y 2y^3}\)

\(\mathrm{x=-2\;and\;y=3}\)

Solve:

Substitute x = - 2 and y = 3

\(3\left(-2\right)-\frac{-2}{2}+4\left(3\right)\cdot \:2\left(3\right)^3\)

\(\mathrm{Simplify \frac{-2}{2}:1}\)

\(=3\left(-2\right)-\left(-1\right)+4\cdot \:3\cdot \:2\cdot \:3^3\)

Following the PEMDAS:

\(\mathrm{3^3:27}\)

\(=3\left(-2\right)-\left(-1\right)+4\cdot \:3\cdot \:2\cdot \:27\)

Multiply :

\(=-6-\left(-1\right)+4\cdot \:3\cdot \:2\cdot \:27\)

\(=-6-\left(-1\right)+648\)

Adding and Subtracting:

\(=643\)

xcookiex12

8/19/2022

When u, v are nonzero vectors, then span{u, v} contains the line through u and the origin, as well as the line through v and the origin, this statement is false.

The span of two nonzero vectors, u and v, is the set of all linear combinations of u and v. This can be a line, a plane, or even the entire space, depending on the vectors u and v. In general, the span of two nonzero vectors does not contain the line through each vector and the origin, unless the two vectors are collinear (i.e. they lie on the same line).

To learn more about vectors here:

https://brainly.com/question/29740341

#SPJ4

Cone A Has same height Twice radius of cone b what is ratio of volume of cone A to volume B therefore The ratio is 4:1

We know that,

\(volume of cone = \frac{1}{3}\pi (r)^{2}h\)

From the question, we have

Cone A has same height of cone B

Cone A has twice radius of cone B

Ratio,

\(\frac{volume of cone A}{volume of cone B} = \frac{\frac{1}{3}\pi (2r)^{2}h }{\frac{1}{3}\pi (r)^{2}h} \\=\frac{4}{1}\)

Divide:

Split is to divide into two or more equal sections, places, groupings, or divisions in its most basic form. To divide something simply means to provide it to a group in equal quantities or to cut it up into equal pieces. Let's imagine a diagonal divides a square into two triangles with equal areas. An integer may or may not be the result of a division operation. Sometimes the result will be expressed as decimal numbers.

To learn more about divide visit: https://brainly.com/question/15381501

#SPJ1

Once we have a sketch of the region ω, we can determine the limits of integration for each variable by looking at the boundaries of the region. We can then change the order of integration by switching the order in which we integrate the variables.

Step 1: Sketch the region ω
To do this, we need the information about the limits of the repeated integral. However, since no specific integral is provided, let's use a general example to illustrate the process. The region ω is typically defined by a set of inequalities that describe the boundaries of the region. These boundaries can be plotted on a graph to give us a visual representation of the region.

Example:
Let's consider a double integral:
∬ ω f(x,y) dy dx, with the limits of integration for y as (g₁(x) ≤ y ≤ g₂(x)), and for x as (a ≤ x ≤ b).

To sketch region ω, we need to plot the bounding curves y = g₁(x), y = g₂(x), x = a, and x = b on a coordinate plane.

Step 2: Change the order of integration
To change the order of integration, we need to express the limits of integration in terms of x.

1. Find the inverse functions of g₁(x) and g₂(x), which are h₁(y) and h₂(y) respectively.
2. Determine the range of y, which will be the new limits of integration for the outer integral.
3. Rewrite the double integral with the new order of integration:
∬ ω f(x,y) dx dy, with the limits of integration for variable x as (h₁(y) ≤ x ≤ h₂(y)), and for y as (c ≤ y ≤ d).

Now, we have successfully sketched the region ω and changed the order of integration for the repeated integral.

Learn more about Variable:

brainly.com/question/29583350

#SPJ11

Answer:

The 95% confidence interval based on this sample is =

[6.41, 7.79]

Step-by-step explanation:

The formula for Confidence Interval =

Mean ± z × standard deviation/√n

Sample mean = 7.1 hours

Standard deviation = 5 hours

n = 200 students

z = 95% confidence interval z score

= 1.96

C.I = 7.1 ± 1.96 × 5/√200

C.I = 7.1 ± 0.693

Hence, Confidence Interval

= 7.1 - 0.693

= 6.407

Approximately = 6.41

= 7.1 + 0.693

= 7.793

Approximately = 7.79

Therefore, the 95% confidence interval based on this sample is

[6.41, 7.79]

Answer:

max

Step-by-step explanation:

i know it

The interest earned increases with higher principal amounts, higher interest rates, and longer time periods.

Principal (P) | Interest Rate (r) | Time Period (t) | Interest Earned (I)

$1,000 | 2% | 1 year | $20

$5,000 | 4% | 2 years | $400

$10,000 | 3.5% | 3 years | $1,050

$2,500 | 1.5% | 6 months | $18.75

$7,000 | 2.25% | 1.5 years | $236.25

To calculate the interest earned (I), we can use the simple interest formula: I = P * r * t.

For the first row, with a principal of $1,000, an interest rate of 2%, and a time period of 1 year, the interest earned is calculated as follows: I = $1,000 * 0.02 * 1 = $20.

For the second row, with a principal of $5,000, an interest rate of 4%, and a time period of 2 years, the interest earned is calculated as follows: I = $5,000 * 0.04 * 2 = $400.

For the third row, with a principal of $10,000, an interest rate of 3.5%, and a time period of 3 years, the interest earned is calculated as follows: I = $10,000 * 0.035 * 3 = $1,050.

For the fourth row, with a principal of $2,500, an interest rate of 1.5%, and a time period of 6 months (0.5 years), the interest earned is calculated as follows: I = $2,500 * 0.015 * 0.5 = $18.75.

For the fifth row, with a principal of $7,000, an interest rate of 2.25%, and a time period of 1.5 years, the interest earned is calculated as follows: I = $7,000 * 0.0225 * 1.5 = $236.25.

These calculations show the interest earned for different savings principals, interest rates, and time periods.

For more such questions on interest

https://brainly.com/question/25720319

#SPJ8

The value of nth term of the sequence is x.

The question states that for each positive integer n, the mean of the first n terms of a sequence is x. We need to find the value of the nth term in the sequence.

To find the value of the nth term, we can use the formula for the arithmetic mean of a sequence. The formula is:

mean = sum of terms / number of terms

In this case, we are given that the mean is x and the number of terms is n. So we have:

x = sum of terms / n

To find the sum of the terms, we can rearrange the equation:

sum of terms = x * n

Now we know that the sum of the terms is x times n.

To find the value of the nth term, we need to divide the sum of the terms by the number of terms, n. So we have:

nth term = sum of terms / n

Substituting the value of the sum of terms, we get:

nth term = (x * n) / n

Simplifying the equation, we find that the nth term is equal to x.

Therefore, the term of the sequence is x.

To know more about mean refer here:

https://brainly.com/question/29445117

#SPJ11

Answer:

gc=5x,CF=8x

Step-by-step explanation:

because I had this question too

Answer:

4.3^2+3.1^2= square root of 28.1= 5.3

Step-by-step explanation:

Answer:

x=11

Step-by-step explanation:

6=x-5

11=x

Answer: The answer is 11.

Step-by-step explanation: If y=6 and the problem is y=x-5 Then you could do 5+6 (since we know y=6) and get the answer of 11. To check it the answer you can do 11-5 which equals 6.

I hope this helps

Answerrrrr

2/3

Step-by-step explanation:

2/3

The Gauss divergence theoremThe Gauss divergence theorem or the divergence theorem is an essential mathematical theorem that is concerned with the relationship between a closed surface and the volume enclosed by that surface.

The Gauss divergence theorem relates a volume integral to a surface integral and states that the integral of the divergence of a vector field F over a region R of space is equal to the flux of F across the boundary of R.

F = (x² - yz)i + (y² - zx)j + (z² - xy)kThe rectangular parallelepiped can be given as follows:

x = 0,

x = 1,

y = 0,

y = 2,

z = 0,

z = 3 We can use Gauss divergence theorem to evaluate the surface integral of the dot product of a vector function F and a unit vector n integrated over a closed surface S. Using the Gauss divergence theorem:∫∫

F.dS = ∫∫∫ ∇ . F dvWhere

F = (x² - yz)i + (y² - zx)j + (z² - xy)k∇ .

F = ( ∂/∂x, ∂/∂y, ∂/∂z ) .

(x² - yz, y² - zx, z² - xy) = (2x - y), (-x + 2y), (-x - y)Therefore, the divergence of the vector function F is ∇ .

F = (2x - y), (-x + 2y), (-x - y)Hence, we have∫∫

F.dS = ∫∫∫ ∇ .

F dv= ∫∫∫ (2x - y + 2y - x - x - y)

dv= ∫∫∫ (-2x - y) dvWe are to evaluate this over the rectangular parallelepiped defined by:

x = 0,

x = 1,

y = 0,

y = 2,

z = 0,

z = 3

To know more about divergence visit:

https://brainly.com/question/30726405

#SPJ11

The row vectors (1, 1, 0), (1, 0, 1), and (3, 2, 1) are linearly dependent since one of the vectors can be expressed as a linear combination of the other two. On the other hand, the row vectors (1, 1, 0), (1, 0, 1), and (0, 1, 1) are linearly independent since none of the vectors can be expressed as a linear combination of the other two.

To determine if a set of row vectors is linearly dependent or independent, we need to check if any one vector can be written as a linear combination of the others. In the first case, we have the row vectors (1, 1, 0), (1, 0, 1), and (3, 2, 1). Let's consider the vector (3, 2, 1). We can express it as a linear combination of the other two vectors as follows: (3, 2, 1) = (1, 1, 0) + (1, 0, 1). Since we can write one vector in terms of the other two, these row vectors are linearly dependent.

In the second case, we have the row vectors (1, 1, 0), (1, 0, 1), and (0, 1, 1). Let's try to express any one of these vectors as a linear combination of the other two. It can be observed that no vector in this set can be written as a linear combination of the other two vectors. Hence, these row vectors are linearly independent.

Therefore, based on the analysis, the row vectors (1, 1, 0), (1, 0, 1), and (3, 2, 1) are linearly dependent, while the row vectors (1, 1, 0), (1, 0, 1), and (0, 1, 1) are linearly independent.

Learn more about vectors here:

https://brainly.com/question/24256726

#SPJ11

Answer:

No.

Step-by-step explanation:

They are not similar because both don't have the same heights. and same lengths.

Height ( Triangle A ) : 8

Height ( Triangle B ) : 6

Length ( Triangle A ) : 24

Length ( Triangle B ) :  18

Easily compare them like ratios:

8:6 < 24:18

Triangle B. is bigger.

Answer:

\( \boxed{c = -17} \)

Step-by-step explanation:

\( = > 3 - 7c - 20c = 7( - 7c - 19) + 14c \\ \\ = > 3 - 27c = ( - 7c \times 7) - (7 \times 19) + 14c \\ \\ = > 3 - 27c = - 49c - 133 + 14c \\ \\ = > 3 - 27c = - 35c - 133 \\ \\ = > 3 - 27c + 35c = - 133 \\ \\ = > 3 + 8c = - 133 \\ \\ = > 8c = - 133 - 3 \\ \\ = > 8c = - 136 \\ \\ = > c = - \frac{136}{8} \\ \\ = > c = - 17\)

Answer:

c = -17

Step-by-step explanation:

→Distribute the 7 to (-7c - 19):

3 - 7c - 20c = -49c - 133 + 14c

→Add like terms (-7c and -20c, -49c and 14c):

3 - 27c = -35c - 133

→Add 35c to both sides:

3 + 8c = -133

→Subtract 3 from both sides:

8c = -136

→Divide both sides by 8:

c = -17

Answer:

=-0.75

Step-by-step explanation:

S=y2_y1/x2_x1

Where x1=1

Y1=3/4

X2=4

Y2=-3

Answer:

As y = mx + c (standard form)

Thus relating the equation , we get

m = 1

c = -6

Answer:

m = 1

c = -6

Step-by-step explanation:

m is the gradient of the line.

c is the intercept of the line.

The formula for it is : y = mx+c

so m = 1

c = -6

Hope this helps

Answer:

n = 3200

Step-by-step explanation:

200 = 1000 - \(\frac{n}{4}\) ( subtract 1000 from both sides )

- 800 = - \(\frac{n}{4}\) ( multiply both sides by 4 to clear the fraction )

- 3200 = - n ( multiply both sides by - 1 )

n = 3200

The given system of differential equations is dx = ax + by and dy = cx + dy. To determine the functions x(t) and y(t) as a function of time, we need to solve the system for different values of the coefficients a, b, c, and d. We will consider three cases: (a) b = 1, c = 4, (b) a = 2, d = -1, and (c) a = -2, b = -1. We will find the general solutions, particular solutions with the given initial conditions, and describe their asymptotic behavior.

Case (a): For b = 1 and c = 4, we have dx = ax + y and dy = 4x + y. Solving these equations yields the general solutions x(t) = Ce^(at) - t - 1 and y(t) = De^(at) + 4t - 3, where C and D are constants. Applying the initial conditions x(0) = 1 and y(0) = 0, we can determine the particular solutions x(t) = e^(at) - t - 1 and y(t) = 4t - 3.
Case (b): For a = 2 and d = -1, the system becomes dx = 2x + by and dy = cx - y. The general solutions are x(t) = Ce^(2t) - (b + 1)y and y(t) = De^(2t) + cx - y, where C and D are constants. Substituting the initial conditions x(0) = 1 and y(0) = 0, we find the particular solutions x(t) = e^(2t) - (b + 1)y and y(t) = (c - 1)e^(2t) + cx.
Case (c): In this case, a = -2 and b = -1, resulting in dx = -2x - y and dy = cx - y. The general solutions are x(t) = Ce^(-2t) + (1 - c)y and y(t) = De^(-2t) + cx - y, where C and D are constants. Using the initial conditions x(0) = 1 and y(0) = 0, we obtain the particular solutions x(t) = e^(-2t) + (1 - c)y and y(t) = (2c - 1)e^(-2t) + cx.
The asymptotic behavior of the particular solutions can be described by examining the exponential terms in the general solutions. If the coefficients in front of the exponential terms are positive, the solutions will approach infinity as t approaches infinity. Conversely, if the coefficients are negative, the solutions will approach zero. Additionally, the presence of linear terms (such as -t or 4t) will affect the overall behavior of the solutions.

Learn more about system of differential equation here
https://brainly.com/question/32433624

#SPJ11

The probability of getting:

a) 2 apples is 5/33

b) 1 apple and 1 orange 35/132 .

Here, we have,

given that,

A fruit basket contains 5 apples and 7 oranges.

Paul picks a fruit at random from the basket and eats it.

He then picks another fruit at random to eat.

so, we get,

total number of fruits = 12

now, we have,

a) P( pick 1 apple) = 5/12

then, P( pick another 1 apple) = 4/11

so, we get,

P( picking 2 apples) = 5/12 * 4/11 = 20/132 = 5/33

b) P( pick 1 apple) = 5/12

then, P( pick 1 orange) = 7/11

so, we get,

P( picking 1 apple and 1 orange) = 5/12 *  7/11 = 35/132

Hence, The probability of getting:

a) 2 apples is 5/33

b) 1 apple and 1 orange 35/132 .

To learn more on probability click:

brainly.com/question/11234923

#SPJ1

Answer:

function is a special type of relation where every input has a unique output

Step-by-step explanation: