Answer:
[tex]\boxed{\boxed{\sf x=2}}[/tex]
Explanation:
[tex]\sf 9(x + 1) = 25 + x[/tex]
*Apply Distributive property*
[tex]\leadsto\sf 9x+9=25+x[/tex]
Subtract 9 from both sides:
[tex]\leadsto\sf 9x+9-9=25+x-9[/tex]
[tex]\leadsto\sf 9x=x+16[/tex]
Subtract x from both sides:
[tex]\leadsto\sf 9x-x=x+16-x[/tex]
[tex]\leadsto\sf 8x=16[/tex]
Divide both sides by 8:
[tex]\leadsto\sf \cfrac{8x}{8}=\cfrac{16}{8}[/tex]
[tex]\leadsto\sf x=2[/tex]
_________________________________________
Use stokes' theorem to evaluate s curl f · ds. F(x, y, z) = x2 sin(z)i + y2j + xyk, s is the part of the paraboloid z = 4 − x2 − y2 that lies above the xy-plane, oriented upward.
Stokes' theorem says that the surface integral of the curl of the vector field F across the surface S is equal to the line integral of F along the boundary of S.
In this case, the boundary is a circle in the x,y-plane with radius 2. (To see this, set z = 0 and rearrange the equation for the paraboloid as x² + y² = 4.)
Then
[tex]\displaystyle \iint_S (\nabla\times\vec F)\cdot d\vec s = \int_{\partial S} \vec F \cdot d\vec r[/tex]
where
[tex]\vec r = 2\cos(t) \,\vec\imath + 2\sin(t) \,\vec\jmath[/tex]
parameterizes the circular boundary of S with 0 ≤ t ≤ 2π. Then
[tex]d\vec r = \dfrac{d\vec r}{dt}\,\dt = (-2\sin(t)\,\vec\imath + 2\cos(t)\,\vec\jmath)\,dt[/tex]
and the integral becomes
[tex]\displaystyle \iint_S (\nabla\times\vec F)\cdot d\vec s = \int_{\partial S} \vec F \cdot d\vec r[/tex]
[tex]\displaystyle \iint_S (\nabla\times\vec F)\cdot d\vec s = \int_0^{2\pi} \vec F(\vec r(t)) \cdot \frac{d\vec r}{dt}\,dt[/tex]
[tex]\displaystyle \iint_S (\nabla\times\vec F)\cdot d\vec s \\= \int_0^{2\pi} ((2\cos(t))^2 \sin(0)\,\vec\imath + (2\sin(t))^2\,\vec\jmath + (2\cos(t))(2\sin(t))\,\vec k) \cdot(-2\sin(t)\,\vec\imath + 2\cos(t)\,\vec\jmath)\,dt[/tex]
[tex]\displaystyle \iint_S (\nabla\times\vec F)\cdot d\vec s = \int_0^{2\pi} 8\sin^2(t)\cos(t) \, dt[/tex]
[tex]\displaystyle \iint_S (\nabla\times\vec F)\cdot d\vec s = \int_0^{2\pi} 8\sin^2(t) \, d(\sin(t))[/tex]
[tex]\displaystyle \iint_S (\nabla\times\vec F)\cdot d\vec s = \frac83 (\sin^3(2\pi)-\sin^3(0)) = \boxed{0}[/tex]
What is the most likely reason that the author begins and ends the text with the larger conversation about carbohydrates in the human diet but develops the argument about whole grains in the middle?.
Whole grains mainly consist of complex carbohydrates. These types of carbohydrates represent an excellent point of reference to explain the role of carbohydrates in the diet.
Carbohydrates, proteins, and lipids are fundamental macronutrients that must be obtained from the diet.
Carbohydrates can be divided into complex carbohydrates (e.g., starch), which provide long-term energy, and simple carbohydrates (e.g., glucose), which represent a fast source of energy.
Complex carbohydrates are composed of many monosaccharide units (i.e., simple carbohydrates) linked by glycosidic bonds.
Whole grains mainly consist of complex carbohydrates and represent an excellent point of reference to explain how the body breaks down these long molecules to produce simple carbohydrates in order to obtain energy.
Learn more in:
https://brainly.com/question/18860845
Do you think counselors are trustworthy.
Answer:
Yes.
Explanation:
I feel like they are because of the simple fact they cannot share your information, or anything you have said, with anyone because of confidentiality. The only way they can share anything is if you are going to hurt yourself or others, or if you give them verbal or written permission to do so.
According to the table, what is the total distance the hiker walked? 4 km 6 km 10 km 20 km.
Answer: 20 km
Explanation:
6 + 4 + 6 + 4 = 20
A certain wire stretches 0. 90 cm when outward forces with magnitude f are applied to each end. The same forces are applied to a wire of the same material but with three times the diameter and three times the length. The second wire stretches:.
Answer:
A certain wire stretches 0. 90 cm when outward forces with magnitude f are applied to each end. The same forces are applied to a wire of the same material but with three times the diameter and three times the length. The second wire stretches:
Explanation:
A cell with 10 chromosomes undergoes mitosis.
Answer:
Yes every cell undergoes mitosis
Which of the expressions below is equivalent to 4x^2/12x^2-4.
Answer:
(846_++=-06456 AND _089_)(
Explanation:
A cube with volume 8 $\text{cm}^3$ is cut in half by a plane which contains two edges of the cube. What is the area of the rectangle formed by the intersection of the plane and cube? express your answer in simplest radical form.
The area of the rectangle formed by the intersection of the plane and cube is [tex]4\sqrt{2}cm^2[/tex]
The diagram of the cube and the cutting plane is shown in the figure.
Since the cube has a volume of [tex]8cm^3[/tex], the sides are [tex]2cm[/tex] each.
From the diagram, the red rectangle is the rectangle formed from the intersection of the plane and the cube. It has an area given by
[tex]A_R=\text{side of cube}\times \text{diagonal}=2d[/tex]
and, using Pythagoras' theorem,
[tex]d=\sqrt{2^2+2^2}\\d=\sqrt{8}=2\sqrt{2}\text{ cm}[/tex]
Substituting the value of [tex]d[/tex] into the formula for [tex]A_R[/tex]
[tex]A_R=2\times d\\=2\times 2\sqrt{2}\\=4\sqrt{2}[/tex]
The area of the rectangle formed by the intersection of the plane and cube is [tex]4\sqrt{2}cm^2[/tex]
Learn more about areas formed from cubes here: https://brainly.com/question/25636539
Answer:
4 square root of 2cm
Explanation:
cool stuff
are there other universes?
Answer:
no
Explanation:
List at least two facts you learned from your research that you could use when writing the opening statement. Remember to include information that is relevant to the main problem you are investigating.
Two facts that I learned during my research were narrowing down the research topic and setting appropriate goals.
When doing research, several aspects must be taken into account so that the research has good results and produces new knowledge. Here are two tips for proper research:
1. Limit the subject of the investigation: When conducting an investigation it is necessary to limit the subject so that it is easier to achieve an effective result. For example, time limits, a specific place, and more special aspects should be set to make the investigation more specialized.
2. Establish adequate objectives: When conducting an investigation it is necessary to establish objectives that can be achieved in the investigation. Highly ambitious goals can make research and information search difficult.
Learn more about investigation in: https://brainly.com/question/1191670
Answer:
-The cost of college has risen faster than inflation for many years.
-The high price of student services and administration are two reasons for the rapid increase in cost.
Explanation:
good luck guys
Which substances are necessary for the synthesis and the breakdown of most materials in an organism?.
Enzymes
Explanation:
are the catalyst that require substrate for their function. Almost all the metabolic process in the body for synthesis of any substance requires enzymes.
I hope this is correct :)
Which description from "sugihara" best indicates that several hours have passed?.
Answer:
its A
Explanation:
hope this helps, pls lmk if its wrong
Which of the following is a way to buy stocks.
Answer:
Through Hiring a Stockbroker
Answer:
Online through a brokerage Web site
Explanation:
What does it mean to be ‘other oriented’?
Answer:
Putting others needs before your own
Answer:
thinking, caring and acting in accordance with the interests of others is a common relational style
Explanation:
egd
Which statement best describes an element of the federal deposit insurance corporation's (fdic) requirements for auditor independence?.
It has been known that some FDIC policy statements often answer to the freedom of auditor. The correct statement is that the FDIC has issued policy statements that address auditor independence in various contexts.
Auditor independence is simply known as the freedom of the internal auditor or of the external auditor from parties that do have a financial interest in the business that is been audited.
The Independence or freedom often needs integrity and an objective means to the audit process.
The SEC do have some rules that addresses the audit independence. They are classified into:
Prohibited Non-Audit Services Audit Committee Pre-Approval of Services Partner Rotation Conflict of Interest Increased Communication and Disclosure.The full question is below
Which statement best describes an element of the Federal Deposit Insurance Corporation's (FDIC) requirements for auditor independence?
o FDIC independence requirements incorporate requirements for attorneys and actuaries.
o FDIC independence requirements mirror the AICPA and DOL independence rules.
The FDIC has issued policy statements that address auditor independence in various contexts.
O The FDIC has adopted regulations that incorporate IESBA independence rules.
Learn more from
https://brainly.com/question/24853075
Carefully read sources a through d (listed below), including the introductory information for each source. Compose a thesis statement you might use for an essay in which you develop your position on the role, if any, that zoos should serve in the future. Then, select at least three pieces of evidence from the sources to support your position, briefly explaining how each piece of evidence might be used to develop your argument. Avoid merely summarizing the sources.
The above question wants to assess your writing ability, therefore it is not correct for me to write the thesis statement for you, but I will show you how to write it.
First, you should know that a thesis statement is a short, direct, and objective paragraph that shows your opinion or position on a particular issue.
This opinion must be substantiated by evidence taken from research sources, for this reason, you should read the sources that have been presented to you or research articles, essays, and publications on the subject.
After that, you can answer your question as follows:
Present your thesis statement, that is, present your opinion on the future role of zoos.Show information from the research sources that support your thesis statement.Explain how this information supports your opinion and shows it to be true.An example of a thesis statement would be: According to the reading, the function of zoos will become increasingly obsolete due to the growth of environmental awareness and animal rights.
More information:
https://brainly.com/question/2094985?referrer=searchResults
Francis has the standard plan offered by his employer and is making an office visit to an in-network doctor to treat his flu-like symptoms. How much would francis be asked to pay by the office manager in the doctor's office?.
There are different kinds of healthcare plans. Francis will not pay (Option one) if he be asked to pay by the office manager in the doctor's office.
There is a standard of minimum coverage that is applicable to employment based health plans.
A health plan must meets the minimum required value standard if;
a. It was designed to pay at least 60% of the total cost of medical services for a standard population.
b. Does the employer offer a health plan that meets the minimum value standard.
Francis is already covered in his his standard plan and therefore will not be expected to pay the money. But in cases of only some percentage of the plan is covered, then the individual can cover the rest expenses.
See full question below
Francis has the Standard Plan offered by his employer and is making an Office Visit to an in-network
doctor to treat his flu-like symptoms. How much would Francis be asked to pay by the office manager in
the doctor’s office?
a. $0
b. $15
C. $25
d $40
Learn more from
https://brainly.com/question/22737817
Answer: C
Explanation:
How many differences can you spot candy house.
Answer:
There no image to reference lol. Can't help you
Explanation:
Bills new porch is rectangular with an area of 50 square feet.
Considering the whole question, the perimeter of the porch is 30 feet.
This is because the whole question is, "Bill's new porch is rectangular, with an area of 50 square feet. if the length of the porch is two times the width, what is the perimeter of the porch?"
Therefore to find the perimeter of the porch, here is the step by step:
Given that the length of the porch is two times the width.
Hence, assume that the width = X
Also, assume that the length = 2X
The general formula here:
50 = X × 2X
X × 2X50 = 2x²
2x²X² = 50 ÷2
50 ÷2X² = 25
25X = √25
√25X = 5
Hence, width = 5 feet.
Given that length of the porch is two times the width = 5 × 2 => 10 feet
Therefore Perimeter of a rectangle = 2 (Length + Breadth)
Put all the values in the formula
Perimeter of the porch = 2 × (5 + 10)
= 2 × (15)
= 30 feet.
Hence, in this case, it is concluded that the correct answer is 30 feet.
Learn more about perimeter here: https://brainly.com/question/13532036
9. ¿Qué quiere decir Yanez cuando
dice que es de cáscara amarga"?
Ayuda please
Es muy probable que Yañez se haya referido a una persona amargada, de temperamento difícil y ocasionalmente atravesado.
El vocablo "ser de la cáscara amarga" es un término despectivo para referirse a personas amargadas, de temperamento difícil y ocasionalmente atravesado, el cual ha sido el significado más difundido.
Históricamente, ha cambiado de sentido durante varios siglos, en el siglo XVIII se empleaba para referirse a personas pendencieras y traviesas, en el siglo XIX por conservadores para referirse despectivamente de liberales y socialistas y en el siglo XX por socialistas para denominar despectivamente a conservadores y reaccionarios.
En síntesis, es muy probable que Yañez se haya referido a una persona amargada, de temperamento difícil y ocasionalmente atravesado.
Invitamos cordialmente a ver esta pregunta sobre vocablos en español: https://brainly.com/question/20516535
A spherical balloon is inflating with helium at a rate of. How fast is the balloon's radius increasing at the instant the radius is ft? how fast is the surface area increasing?.
Using implicit differentiation, and considering that the inflation rate is of 200 cubic feet per minute and the radius is of 5 feet, it is found that:
The radius is increasing at a rate of 0.6366 feet per minute.The surface area is changing at a rate of 80 feet squared per minute.The volume of an sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
Applying implicit differentiation, the rate of change is given by:
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]
For this problem:
Inflation rate of 200 cubic feet per minute, hence [tex]\frac{dV}{dt} = 200[/tex]Radius is of 5 feet, hence [tex]r = 5[/tex]Then:
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]
[tex]200 = 4\pi (5)^2\frac{dr}{dt}[/tex]
[tex]\frac{dr}{dt} = \frac{200}{100\pi}[/tex]
[tex]\frac{dr}{dt} = 0.6366[/tex]
The radius is increasing at a rate of 0.6366 feet per minute.
The surface area is:
[tex]S = 4\pi r^2[/tex]
Hence, the rate of change is:
[tex]\frac{dS}{dt} = 8\pi r\frac{dr}{dt}[/tex]
Hence:
[tex]\frac{dS}{dt} = 8\pi (5)(0.6366) = 80[/tex]
The surface area is changing at a rate of 80 feet squared per minute.
A similar problem is given at https://brainly.com/question/9543179
A consumer group is investigating the number of flights.
Andrei adds 50 ml of boiling water to 100 ml of tap water. If the 150 ml of water is then put into a freezer, at what temperature will the water freeze?.
Answer:
0°C
Explanation:
water always freezes at 0 degrees
What was the role of muslim religious leaders in africa.
Answer: In most cases, the Muslim religious leaders serve also as community leaders and have broad political influence; their visit will contribute to strengthening the diplomatic ties between Israel and Africa.
(i searched it. pls mark me brainliest)
Which of the following theorems cannot be used to prove two lines are parallel?.
How are we supposed to answer this question without the theorems mentioned in the question????
Which of the following is not a benefit of warm up exercise.
How can buddhism affect change on powerful countries that use war.
Buddhism is a religion that seeks to avoid conflict and harm, so other countries can learn from this.
The diagram shows 3 identical circles inside a rectangle.
Answer:
Explanation:
Diagram?
Did you go to the swim meet.
Answer:
what?
Explanation:
do you think the earth is round or flat
Answer:
cube
Explanation:
