(x-1)^3-x^2(x+3)=2

Find x
send help

Answer:

4746

Step-by-step explanation:

if the number in the place smaller than what you are trying to round to (so the tenths) is 5 or greater, you round up, if it is 4 or smaller, the number stays the same.

Answer:

Area: 9 in.²

Step-by-step explanation:

Area of square: side²

=> Area of Square tile: 3²

=> 9 in.²

Hoped this helped.

Answer:

9

Step-by-step explanation:

To find the area of a square, multiply both sides.

3*3=9

The solution to the initial value problem dy/dx = (1/2) (2xy^2)/(cos(y) - 2x^2y), y(0) = 1 is:

y cos(y) = (1/2) y^2 ln|x| + (1/cos(1))y^2, where x is any real number, and y(2) ≈ 1.197.

To solve the initial value problem:

dy/dx = (1/2) (2xy^2)/(cos(y) - 2x^2y)

We first write the differential equation in the standard form of y' + P(x)y = Q(x), where P(x) and Q(x) are functions of x:

dy/dx = (xy^2)/(cos(y) - 2x^2y)

dy/(y^2 cos(y)) = dx/(2x)

Now, we integrate both sides:

∫[dy/(y^2 cos(y))] = ∫[dx/(2x)]

Using substitution, let u = sin(y), then du = cos(y) dy:

∫[dy/(y^2 cos(y))] = ∫[du/u^2]

Integrating both sides gives:

-1/y cos(y) = (1/2) ln|x| + C

where C is the constant of integration.

Multiplying both sides by y^2, we get:

y cos(y) = (1/2) y^2 ln|x| + Cy^2

This is the general solution of the differential equation.

To find the particular solution that satisfies the initial condition y(0) = 1, we substitute x = 0 and y = 1 into the general solution:

1 cos(1) = (1/2) (1)^2 ln|0| + C(1)^2

Simplifying, we get:

C = 1/cos(1)

Therefore, the particular solution is:

y cos(y) = (1/2) y^2 ln|x| + (1/cos(1))y^2

To find y(2), we substitute x = 2 into the particular solution:

y(2) cos(y(2)) = (1/2) (y(2))^2 ln|2| + (1/cos(1))(y(2))^2

We need to solve this equation for y(2). This cannot be done algebraically, so we use numerical methods. Using a calculator or a computer, we find:

y(2) ≈ 1.197

Therefore, the solution to the initial value problem dy/dx = (1/2) (2xy^2)/(cos(y) - 2x^2y), y(0) = 1 is:

y cos(y) = (1/2) y^2 ln|x| + (1/cos(1))y^2, where x is any real number, and y(2) ≈ 1.197.

Learn more about initial value here:

https://brainly.com/question/29081397

#SPJ11

Answer: Im not really sure of the answer but i think it 7

Step-by-step explanation:

Answer:

1) Slope, m = 2, y-intercept, b = 5 ↔ y = 2·x + 5. 2) Slope, m = 3, y-intercept, b = 5 ↔ y = 3·x + 5. 3) Slope, m = 5, y-intercept, b = 4 ↔ y = 5·x + 4. Step-by-step explanation: The equation of a straight line in slope and intercept form is given as follows; y = m·x + b. Where; m = The slope. b = The y-intercept. 1) When m = 2 and b ...

Step-by-step explanation:

The value of the F ratio for testing the significance of this model is not 15.56.

For question 10, in a simple linear regression analysis, SST represents the total sum of squares, which measures the total variation in the dependent variable. SSE represents the sum of squared errors, which measures the variation that is not explained by the regression model.

To determine which statement is true, we need to compare the values of SST and SSE.


Now let's move on to question 14. The standard error of estimate is a measure of the variability of the observed values around the regression line. It is not directly related to the sum of the residual squared.

Therefore, the statement that the sum of the residual squared must be 120 is not necessarily true.

Lastly, for question 15, the F ratio is used to test the overall significance of a multiple regression model. It compares the explained variation (SST - SSE) with the unexplained variation (SSE) and takes into account the number of observations and number of explanatory variables.

Given that SST is 900 and SSE is 460, we can calculate the F ratio as follows:

F = ((SST - SSE) / number of explanatory variables) / (SSE / (number of observations - number of explanatory variables))

F = ((900 - 460) / 5) / (460 / (35 - 5))

F = 440 / 460

F ≈ 0.9565

To know more about ratio  visit:-

https://brainly.com/question/32531170

#SPJ11

Answer:

yes

Step-by-step explanation:

the line passes through that point.

Answer:

yes

Step-by-step explanation:

Here, x=2 and y=-1

If these points lie on the line y= 3-2x,then they must satisfy the equation of the line (also mean they must be equal)

So on solving the equations putting the value of x and y, we get

y=3-2x

or,-1=3-2*2

or,-1=3-4

Therefore, -1=-1

We fail to reject the null hypothesis and there is no significant evidence for the manager to conclude that the standard deviation has decreased at the α = 0.01

What is standard deviation?

The standard deviation is a statistic that expresses the degree of variation or dispersion among a group of data. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the mean of the collection.

The null and alternative hypotheses are:

\(H_{0} :\) α = 0.004

\(H_{a} :\) α < 0.004

Under null hypothesis, the test statistic is:

\(x^{2} = \frac{(n-1)s^{2} }{\alpha ^{2} }\)

   = (29 - 1)0.0036² / 0.004²

   = 22.68

Now the critical value of x² at 0.01 level of significance for

df = n-1

  = 29 - 1

 = 28

\(x_{critical} ^{2}\) = 48.278

Since the test statics

x² = 22.68 is less than the critical value

\(x_{critical} ^{2}\) = 48.278

∴ we fail to reject the null hypothesis and there is not significant evidence for the manager to conclude that standard deviation has decreased at α = 0.01

To learn more about standard deviation from the given link  

https://brainly.com/question/11461373

#SPJ4

Answer:

1,2,3,4 on edge

Step-by-step explanation:

Answer: I don't understand either :{

But I do know that you have to look at the little letters to answer the questions about the triangle. Like when it asks, "What are the possible values for x?" you have to find x then say what the possible values for x are. Hope that helps a little bit

The expectation of getting correct option out of total choice of 5 question.

Probability is the ratio of number of favorable outcomes to the total number of outcomes.It can not be more than 1.

we have five question each of them has four choice, two out of them are correct.

Number of correct choice in one question = 2

Total number of choice in a question = 4

probability to get correct option of one question = 2/4 = 0.5.

Then the probability of 5 question = 5(0.5) = 2.5

Thus, the expectation of correct choice is 2.5.

To know more about probability visit:

brainly.com/question/15124899

#SPJ4

1) Gathering the data

width = 18.8

height = 9 m

V = 1353.6 m³

2) Let's use the formula of the Volume, derived from the Base Area and the height:

Answer:

So the amount to pay is $1 and 20 cents ( or a total of 120 cents)

Step-by-step explanation:

The key features of the quadratic equation y = - x² - 2x + 1 is  line of symmetry is x = -1; vertex = (h, k) = (-1, 2); y-intercept is (0, 1);  

the domain = -∞ ≤ x ≤ ∞ and the range = 2 ≥ y ≥ -∞.

What are the key features of a quadratic function?

Three properties that are universal to all quadratic functions:

1) The graph of a quadratic function is always a parabola that either opens upward or downward (end behavior);

2) The domain of a quadratic function is all real numbers; and

3) The vertex is the lowest point when the parabola opens upwards; while the vertex is the highest point when the parabola opens downward.

According to the given question:

The given equation is y = - x² - 2x + 1

The general vertex form is y = a·(x - h)² + k

h = -b/(2·a) = 2/(-2) = -1

k = f(h) = -(-1)² - 2×(-1) + 1 = 2

Therefore;

1) The line of symmetry goes through the vertex and the line of symmetry is x = -1

2) The vertex = (h, k) = (-1, 2)

3) The y-intercept is the coordinate of the point where x = 0 which is  

   (0, 1)

4) The domain are the possible x-values, therefore,

    the domain = -∞ ≤ x ≤ ∞

5) The range is the possible values y-values.

    On plotting the graph, we have the range = 2 ≥ y ≥ -∞

Complete question:

Identify the key features of the Quadratic Function y = - x² - 2x + 1

To know more about quadratic function visit

https://brainly.com/question/29011313

#SPJ1

Answer:

A

Step-by-step explanation:

To find the volume we do 2 * 1.25 * 1.5 (i rewrote the fractions as decimals) which is 3.75 or 3 and 3/4 cubic inches.

Answer:

V = \(3 \frac{3}{4}\)

Step-by-step explanation:

Hey there!

Well the volume "v" of a rectangular prism is,

V = l•w•h

Fill in

\(V = 2* 1 \frac{1}{4} * 1 \frac{1}{2}\)

V = \(3 \frac{3}{4}\)

Hope this helps :)

Answer:

£60

Step-by-step explanation:

Given that

The cost after reduction  = £54

So, 90% = £54

We have to find 100%

To do so, find 10% and ,multiply that by 10

90% = £54

10% = 54/9 = £6

1005 = 6x10 = £60

Hope this helps,.

Please mark brainiest

All parties involved in the supply chain must work together to reduce losses and improve the supply chain's efficiency.

The supply chain is responsible for moving materials through various parties. Each party is accompanied by a loss or defect rate that can have a significant impact on the overall supply chain. The loss or defect rate associated with each party of the supply chain is listed below:

A. Suppliers: 1.0% of all materials delivered are unacceptable for use. This means that the suppliers are responsible for the quality and delivery of raw materials. Suppliers should ensure that the materials provided are of the required standard, meet the manufacturer's specifications, and are delivered on time.

B. Manufacturing: 0.9% of items produced are defective and are thus not shipped. The manufacturer should ensure that products are manufactured to meet quality specifications, and that product defects are identified and corrected.

C. Distribution: 1.1% of the items shipped are lost, stolen, or damaged in transit. The distribution parties are responsible for moving the products from the manufacturing plant to the retail stores. They are responsible for ensuring that the product is delivered to the right location at the right time, and that it is in the right condition.

D. Retail Store: 1.2% of items are stolen/damaged and thus unavailable for sale. Retailers are responsible for ensuring that products are on the shelves and in the right condition, with the right pricing, in the right quantity, at the right time. They must ensure that products are protected from damage or theft.

Learn more about defect rate  here:

https://brainly.com/question/18957350

#SPJ11

Answer:

(-1,8)

Step-by-step explanation:

use formula

A(x,y) = A'(-y , -x)

coordinate point is

(-8,1)=(-1,8)

therefore the image of the (-8,1) after a reflection over the line y=-x is (-1,8)

Answer:

A'(-1,8)

Step-by-step explanation:

Initial point A(-8,1)

reflection about y=-x has the rule

x, y -> (-y, -x)

So

A(-8,1) -> A'(-1,8)

Answer: B (The cost of a notebook is $0.75, and the cost of a folder is $0.25.)

Step-by-step explanation:

No need for explanation. i know i’m right!!

The number of people attending affects how much food is prepared for a catered event. The number of people attending is the explanatory variable in this scenario.

One kind of independent variable is an explanatory variable. Both words are frequently used interchangeably. This is the variable that changes as we change it or watch it change. In other words, it is a factor that a researcher has changed in an experiment.

In the given situation, the number of people attending is an explanatory variable and the amount of food prepared is a dependent variable. As the number of people attending increases, the amount of food prepared also increases. This means the effect of one variable alters the effect of another variable. The change of one variable is called an independent variable while the change that occurs because of the independent variable is a dependent variable.

Therefore, the required answer is the number of people attending.

To know more about independent variables:

https://brainly.com/question/1479694

#SPJ4

Answer:

see the explanation below

Step-by-step explanation:

you can type 250 characters in 60 seconds your friend can type 375 characters in 90 seconds do these ratios form a proportion

Given data

you can type 250 characters in 60 seconds

your typing speed = 250/60

= 4.16 characters per seconds

your friend can type 375 characters in 90 seconds

your friends typing speed is

= 375/90

= 4.16 characters per seconds

Since both typing speeds corresponds, hence the ratios are proportional

To formulate this problem as a linear programming problem, we need to identify the decision variables, objective functions, and constraints.

Decision Variables:
Let x be the number of model A printers manufactured per month, and y be the number of model B printers manufactured per month.

Objective Function:
The objective is to maximize monthly profits, which can be expressed as P = 25x + 40y.

Constraints:
1. The total number of printers demanded per month cannot exceed 3000, so we have the constraint x + y ≤ 3000.
2. The company has earmarked not more than $600,000/month for manufacturing costs, so the cost constraint is 120x + 140y ≤ 600,000.
3. The number of printers manufactured must be non-negative, so x ≥ 0 and y ≥ 0.

Therefore, the linear programming problem is:
Maximize P = 25x + 40y
Subject to:
x + y ≤ 3000
120x + 140y ≤ 600,000
x ≥ 0, y ≥ 0

Learn more about programming here:

https://brainly.com/question/11023419

#SPJ11

Answer: 7^3=343-1=342

Answer:

-142

Step-by-step explanation:

First solve parenthesis,

(12) - (23 +131) =

(12) -154

Finally subtract,

12-154

= -142

Answer:

12.60

Step-by-step explanation:

give brainliest and 5 star and thank!

We can write the solution set for the given system of equations as -

{x} = {EC/B - F}/{D - EA/B}

{y} = - { C + A [{ EC/B - F }/{ D - EA/B }] }/B

An algebraic expression is a made up of terms both constants and variables. For example, we can write -

2x + 3y + z

5x + y

x + 8y

Given is use the diagrams below, write and solve two simultaneous equations to work out the values of {x} and {y}.

Since the diagram is not given, we can learn how to solve the given set of simultaneous equations.

Assume that we have the simultaneous equations as -

Ax + By + C =0

Dx + Ey + F = 0

Now, we can write -

Ax + By + C =0

By = - C - Ax

By = - (C + Ax)

{y} = - (C + Ax)/B

Putting the value in the equation -

Dx + Ey + F = 0

Dx - E(C + Ax)/B + F = 0

Dx - EC/B - (EA/B)x + F = 0

x{D - EA/B} - EC/B + F  = 0

x{D - EA/B} = {EC/B - F}

{x} = {EC/B - F}/{D - EA/B}

We can write {y} as -

{y} = - { C + A [{ EC/B - F }/{ D - EA/B }] }/B

Therefore, we can write the solution set for the given system of equations as -

{x} = {EC/B - F}/{D - EA/B}

{y} = - { C + A [{ EC/B - F }/{ D - EA/B }] }/B

To solve more questions on expressions, visit the link-

brainly.com/question/29223887

#SPJ1

The differential equation that models the rate of change of the sum S(t) with respect to time t is given by dS/dt = k * e^(0.05t).  The formula for the sum S(t) is S(t) = (k/0.05) * e^(0.05t) + C. It is not possible to determine the exact value of k that will result in $3,500,000 in 41 years.

(a) The differential equation that models the rate of change of the sum S(t) with respect to time t is given by dS/dt = k * e^(0.05t), where k represents the annual investment amount and e^(0.05t) represents the continuous compounding growth factor.

(b) To determine a formula for the sum S(t), we need to integrate the rate of change equation from part (a). Integrating both sides with respect to t, we have ∫dS = ∫k * e^(0.05t) dt. Integrating the left side gives S(t), and integrating the right side gives (k/0.05) * e^(0.05t) + C, where C is the constant of integration. Thus, the formula for the sum S(t) is S(t) = (k/0.05) * e^(0.05t) + C.

(c) In order to find the value of k that will provide $3,500,000 in 41 years, we can use the formula derived in part (b) and substitute the given values. The equation becomes 3500000 = (k/0.05) * e^(0.05*41) + C. To determine the value of k, we need to know the constant of integration C or have additional information about the initial conditions. Without this information, it is not possible to determine the exact value of k that will result in $3,500,000 in 41 years. However, with the given equation, you can solve for the value of k by rearranging the equation and solving numerically using methods such as iteration or numerical approximation techniques.

Learn more about differential equation here: brainly.com/question/16663279

#SPJ11

Answer:

Step-by-step explanation:

True.