Considering the data in the question, the focal length of the objective lens that will give a total magnification of 200x is 0.8cm focal length.
The whole question is:
You are using a microscope with a 10x eyepiece. What focal length of the objective lens will give a total magnification of 200x? Assume a length L = 160mm.
How was the answer derived?Given that total magnification is 200
And the Assume length is 160
Since we used a microscope with a 10x eyepiece, the magnification would be divided by 10.
=> 200 ÷ 10 = 20.
Also, the focal length is measured in centimeters or meters; we would change the millimeters of focal length to centimeters. Therefore, we have 160 ÷ 10 = 16
The formula for the focal length of the objective lens = assumed length ÷ total magnification.
=> 16 ÷ 20 = 0.8cm.
Hence, in this case, it is concluded that the correct answer is "0.8cm."
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For what value of a does (one-ninth) Superscript a 1 Baseline = 81 Superscript a 1 Baseline times 27 Superscript 2 minus a? –4 –2 2 6.
Answer:
-4
Explanation:
Edge.
Answer:
A: -4
Hope this helps.
Evaluate the line integral, where c is the given curve. C (x/y) ds, c: x = t3, y = t4, 1 ≤ t ≤ 4.
We have
x = t³ ===> dx/dt = 3t²
y = t⁴ ===> dy/dt = 4t³
Then with the given parameteriztion, the line integral along C of x/y is
[tex]\displaystyle \int_C \frac xy \, ds = \int_1^4 \frac{t^3}{t^4} \sqrt{(3t^2)^2 + (4t^3)^2} \, dt[/tex]
[tex]\displaystyle \int_C \frac xy \, ds = \int_1^4 \frac1t \sqrt{9t^4 + 16t^6} \, dt[/tex]
[tex]\displaystyle \int_C \frac xy \, ds = \int_1^4 \frac{\sqrt{t^4}}t \sqrt{9 + 16t^2} \, dt[/tex]
[tex]\displaystyle \int_C \frac xy \, ds = \int_1^4 \frac{t^2}t \sqrt{9 + 16t^2} \, dt[/tex]
[tex]\displaystyle \int_C \frac xy \, ds = \int_1^4 t \sqrt{9 + 16t^2} \, dt[/tex]
[tex]\displaystyle \int_C \frac xy \, ds = \frac1{32} \int_1^4 32t \sqrt{9 + 16t^2} \, dt[/tex]
[tex]\displaystyle \int_C \frac xy \, ds = \frac1{32} \int_1^4 \sqrt{9 + 16t^2} \, d\left(9+16t^2\right)[/tex]
[tex]\displaystyle \int_C \frac xy \, ds = \frac1{32} \cdot \frac23 \left(9+16t^2\right)^{\frac32}\bigg|_1^4[/tex]
[tex]\displaystyle \int_C \frac xy \, ds = \frac1{48} \left(265^{\frac32} - 25^{\frac32}\right) = \boxed{\frac{265\sqrt{265}-125}{48}}[/tex]
The line integral will be "[tex]\frac{265\sqrt{265} - 125 }{48}[/tex]". To understand the calculation, check below.
Line integralAccording to the question,
Curves, x = t³ or,
[tex]\frac{dx}{dt}[/tex] = 3t²
y = t⁴ or,
[tex]\frac{dx}{dt}[/tex] = 4t³
Now, the line integral along C will be:
→ [tex]\int\limits_C {\frac{x}{y} } \, ds[/tex] = [tex]\int\limits^4_1 {\frac{t^3}{t^4} }[/tex] √(3t²)² + (4t³)² dt
= [tex]\int\limits^4_1 {\frac{1}{t} }[/tex] √9t⁴ + 16t⁶ dt
= [tex]\int\limits^4_1 {\frac{t^4}{t} }[/tex] √9 + 16t² dt
= [tex]\int\limits^4_1 {\frac{t^2}{t} }[/tex] √9 + 16t² dt
= [tex]\int\limits^4_1[/tex] t√9 + 16t² dt
= [tex]\frac{1}{32}[/tex] [tex]\int\limits^4_1[/tex] √9 + 16t² d (9 + 16t²)
= [tex]\frac{1}{32}\times \frac{2}{3}[/tex] [tex](9+16t^2)^{\frac{3}{2} } |_1^4[/tex]
= [tex]\frac{1}{48}[/tex] ([tex]265^{\frac{3}{2}} - 25^{\frac{3}{2}[/tex])
= [tex]\frac{265 \sqrt{265 } -125 }{48}[/tex]
Thus the above approach is correct.
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Jacob followed a recipe that requires 2 cups of water for ever 3 cups of flour. If he used 8 cups of flour, how many cups of water did he use?.
Answer:
I think he uses 5 1/2 cups of water.
Answer:
5 1/3
Explanation:
If cos(x) = Three-fourths and tan(x) < 0, what is cos(2x)?.
Recall the double angle identity for cosine,
cos(2x) = 2 cos²(x) - 1
Then
cos(2x) = 2 (3/4)² - 1 = 1/8
Answer:C
Explanation:
did it on edge
La probabilidad de que un caballo viva 20 años es 2/3 y la de que una vaca viva 20 años es 3/5, ¿cuál es la probabilidad de que tanto el caballo, como la vaca vivan 20 años?.
Por definición de probabilidad, la probabilidad de que tanto el caballo, como la vaca vivan 20 años es [tex]\frac{2}{5}[/tex].
En primer lugar, debes saber que la Probabilidad es la mayor o menor posibilidad de que ocurra un determinado suceso.
En otras palabras, la probabilidad establece una relación entre el número de sucesos favorables y el número total de sucesos posibles.
En este caso, se llama suceso A al evento de que un caballo viva 20 años, mientras que el suceso B será el evento de que una vaca viva 20 años.
La intersección de sucesos es una operación cuyo resultado está compuesto por los sucesos no repetidos y comunes de dos o más conjuntos.
Esto es, la intersección de sucesos {A∩B} es el suceso formado por todos los elementos que son, a la vez, de {A} y {B}. De esta manera, el suceso {A∩B} se verifica cuando ocurren simultáneamente {A} y {B}.
Entonces, se debe calcular la probabilidad de que ocurra A y B al mismo tiempo, considerando que la probabilidad de la intersección de sucesos independientes (la probabilidad de cada uno de ellos no está influida porque el otro suceso ocurra o no, es decir, cuando ambos sucesos no están relacionados):
P(A∩B)= P(A)×P(B)
En este caso, la probabilidad de que ocurra A es [tex]\frac{2}{3}[/tex] y la probabilidad de que ocurra B es [tex]\frac{3}{5}[/tex]. Entonces:
P(A∩B)= [tex]\frac{2}{3}[/tex]×[tex]\frac{3}{5}[/tex]
P(A∩B)=[tex]\frac{2}{5}[/tex]
Finalmente, la probabilidad de que tanto el caballo, como la vaca vivan 20 años es [tex]\frac{2}{5}[/tex].
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https://brainly.com/question/24290732?referrer=searchResultsA hydrophobic amino acid r group would be found where in a protein.
Answer:
It will be found on the inside of the protein structure
A gardener bought 5 rabbits.
...
Thats really nice
Based on the context, what is the best definition of shrewdly as it is used in these lines? thoughtfully quickly cleverly sharply.
Answer:
Its D
Explanation:
From the excerpt of Hamlet, the meaning of the word shrewdly is sharp. Thus, option d is accurate.
What is shrewd?Shrewdly is the word that defines the piercing and strong which is used in reference to the wind or the air. In the text, Hamlet tells Horatio that the wind was cold and sharp.
It is used in the text to show how the wind was strong, and piercing making the environment cold around them. The word does not describe quickness, thoughtfulness, and clever nature as these words do not define wind.
Therefore, option d. sharp is the correct option.
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Which of the following are exclusively associated with copyright protection? (select three. ).
Statements that can be exclusively associated with copyright protection are:
Right to make derivatives of a work.
Right to reproduce a work.
Right to lend a work.
Copyright protection can be regarded as a form of protection that protect an intellectual property from stealing away by another party from the right owner.The right owner of the intellectual property such as copyright can give offer to another party to reproduce the property but it must not violate the intellectual property law.THIS IS THE COMPLETE QUESTION.
Which of the following are exclusively associated with copyright protection? (Select three.)
Right to reproduce small excerpts of a work
Right to apply for a patent
Right for anyone to display a work
Right to lend a work
Right to use a trademark
Right to make derivatives of a work
Right to reproduce a work
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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]
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Answer:
4 square root of 2cm
Explanation:
cool stuff
A 20~\mu f20 μf capacitor has previously charged up to contain a total charge of q = 100~\mu cq=100 μc on it. The capacitor is then discharged by connecting it directly across a 100-k\omega100−kω resistor. At what point in time after the resistor is connected will the capacitor have 13. 5~\mu c13. 5 μc of charge remaining on it?.
Answer:
10385877.377477km
Explanation:
kasi po i plas lang po
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.
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Which historical figure does old major most likely represent? tsar nicholas ii an imperial guard vladimir lenin joseph stalin.
Answer: old major is based on Karl Marx and partially Vladimir Lenin
Explanation:
The historical figure that old major most likely to represent is Vladimir Lenin. The correct option is C.
Who does old Major represent and why?The pig Snowball represents the intellectual revolutionary Leon Trotsky, while Old Major represents either Karl Marx or Vladimir Lenin.
Old Major represents Karl Marx and Vladimir Lenin, who promoted the Communist Party but died before their vision could be realized.
As a result, those who did not fully comprehend the dream were able to twist it to their advantage.
Old Major describes a dream he had the night before in which animals are free, happy, well fed, and treated with dignity in a world free of human tyranny.
He exhorts the animals to do everything possible to make this dream a reality, including overthrowing the humans who claim to be their owners.
Thus, the correct option is C.
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Outline three Jewish beliefs about shekinah
Answer:
The three main beliefs at the center of Judaism are Monotheism, Identity, and covenant (an agreement between God and his people). The most important teachings of Judaism is that there is one God, who wants people to do what is just and compassionate.
Explanation:
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 of the following is a true statement about diffusion.
Answer:
D) Molecules move from areas of high concentration to areas of low concentration.
Explanation:
An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with mean equal to 800 hours and a standard deviations of 40 hours. Find the probability that, a random sample of 16 bulbs will have an average life of i). Less that 775 hours. Ii) between 775 and 825 hours.
Answer:
ion know
Explanation:
Based on the diagram, can point d be the centroid of triangle acf? explain. Yes, point d is the point of intersection of segments drawn from all three vertices. Yes, de is three-quarters of the length of the full segment. No, de should be longer than ad. No, the ratio between ad and de is 3:1.
Answer:
A is the correct answer
Explanation:
EDGE
A centroid in a triangle, is the point where all the medians meet.
now a peculiar thing about the centroid is that, it cuts all medians in a 2:1 ratio. So, if that's true, then the median AE, is being cut in two segments AD and DE and AD : DE are on a 2 : 1 ratio.
What is centroid?In a triangle, the centroid is the point of intersection of the three medians, which are line segments joining each vertex to the midpoint of the opposite side.
The centroid divides each median into two segments, with the distance from the centroid to the vertex being twice the distance from the centroid to the midpoint of the opposite side.
Let M be the midpoint of side AB, N be the midpoint of side AC, and P be the midpoint of side BC. Then, we have:
CD = 2DP
CE = 2DN
We are also given that DE = 15. Since D is the centroid, we have:
AD = BD = CD/3
AE = CE/3
DC + DP = PC
CE + DN = NE
AD + AE = DE
Using these relationships, we can find CD and CE:
CD = 2DP = 2(PC - DC) = 2((AD + DP) - (AD/3)) = 2(2AD/3) = 4AD/3
CE = 2DN = 2(NE - CE) = 2((AE + DN) - (AE/3)) = 2(2AE/3) = 4AE/3
To find AD and AE, we can use the fact that AD + AE = DE and AD = BD:
AD + BD = DE
AD + (2AD/3) = 15
5AD/3 = 15
AD = 9
AE = DE - AD = 15 - 9 = 6
Substituting these values into the equations for CD and CE, we get:
CD = 4AD/3 = 4(9)/3 = 12
CE = 4AE/3 = 4(6)/3 = 8
Therefore, CD = 12 and CE = 8.
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What is the equation for g, which is f(x) = 2x2 + 3x − 1 reflected across the y-axis?.
The answer to your question is:
What is the entropy change for the freezing process of 1 mole of liquid methanol at its freezing temperature (–97. 6˚c) and 1 atm? please report your answer two points past the decimal with the unit j/molk. ∆h˚fus = 3. 17 kj/mol.
Answer:
the value of change in entropy for freezing process of 1 mole of liquid methanol is -18.07 J/mol.k
Explanation:
Entropy is defined as the measure of possible arrangement of the atoms or molecules. Entropy change for the the freezing process mole of 1 liquid methanol at -97.6 degree celcius and 1 atm will be -18.07 J/mol.
The entropy change can be calculated by the given formula:
Thus, the value of change in entropy for freezing process of 1 mole of liquid methanol is -18.07 J/mol.k
(Hope this helps can I pls have brainlist (crown)☺️)
For the freezing of 1 mole of liquid methanol, the change in entropy value is -18.07 J/mol.
What is entropy value?The measure of atoms' or molecules' potential arrangements is known as entropy. Entropy change for one mole of liquid methanol frozen at -97.6 degrees Celsius and one atmosphere is -18.07 J/mol.
The range of entropy is 0 to 1. Depending on the number of classes in your dataset, entropy can be greater than 1, but it still indicates a very high level of chaos. For the sake of convenience, the examples in this blog will have entropy values between 0 and 1.
The "information" a variable contains is measured by its entropy. Now, based on the surprise that this value of the bholds and the number of distinct values that are present in the variable, this amount is approximated.
Thus, it is -18.07 J/mol.
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How many positive integers are there between 100 and 999.
Answer:
be the positive integers between 100 and 999 inclusive. contains 900 integers, while we are interested in integers divisible by 7. Thus 128 integers are divisible by 7.
Explanation:
hope this helps
Answer:
Let be the set of positive integers between 100 and 999. The set contains 900 integers, and the integers are divisible by 7. By division rule, where is the finite set with union of pairwise disjoint subsets with elements.
Explanation:
can i get brainliest
Which of the following people worked with government in the 1960s to get laws passed to help noncitizens and farm workers? Huey Newton Bobby Seale Stokely Carmichael Dolores Huerta.
Government often makes laws that aim for the betterment of its people. Cesar Chavez worked with government in the 1960s to get laws passed to help noncitizens and farm workers.
Cesar was known to be a man who use nonviolent means as used by Mahatma Gandhi and Martin Luther King Jr. in all his works.
He was known to be the founder of the National Farm Workers Association (later the United Farm Workers of America)
He won a lot of significant victories so as the pay and improve working conditions for farm workers is improve in the late 1960s and 1970s
See full question below
Which of the following people worked with government in the 1960s to get laws passed to help noncitizens and farm workers?
Huey Newton
Bobby Seale
Cesar Chavez
Dolores Huerta
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Answer:
Explanation:
Dolores huerta
1) What is The Full form Of WWW ?
2)What Is The full form of 3 Cs ?
2nd question is little confused .
plz Don't Spam .
WWW is an abbreviation for World Wide Web ...
Corporation, Customer, Competitors (3C's) Model is a business model that focuses on the three key factors needed for success. This model was conceived by the famous business strategist, Kenichi Ohmae.
Answer:
• Full form of WWW :- World Wide Web WWW is an abbreviation for World Wide Web and it is commonly called the WEB. It is a system that is used to store documents and is accessed using URL(Uniform Resource Locator) which are accessible through Internet .• The full form of 3 Cs :- Corporation, Customer, Competitors (3C's) Model is a business model that focuses on the three key factors needed for success. This model was conceived by the famous business strategist, Kenichi Ohmae.Explanation:
Hope this helps you !!Given three consecutive integers, if the sum of the first and third integers is increased by 8, the result is 5 less than triple the second integer. Find the three consecutive integers. *
Answer:
The three consecutive integers are 12, 13 & 14
Explanation:
Let the three consecutive integers be x, x + 1, x + 2
According to the question,
If sum of the first and third integers is increased by 8, the result is 5 less than triple the second integer.
[tex] \therefore [/tex] x + x + 2 + 8 = (x + 1) × 3 - 5
2x + 10 = 3x + 3 - 5
2x + 10 = 3x - 2
10 + 2 = 3x - 2x
x = 12
So, The three consecutive integers are 12, 13 & 14
How does the first amendment protect religious freedom for american citizens? choose exactly two answers that are correct.
Answer:
It lets people practice their faith in their own way and
It prevents the government from establishing a national religion.
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.
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How did fossils help and teach scientists about the history of the earth brainly.
Answer:
Fossils helped teach scientist by giving information of the species that lived back then.
Explanation:
The fossils have clues on them help identify what they are.
Which of the following distinguishes prophase 1 of meiosis from prophase of mitosis?.
Based on a scientific study, the difference between prophase 1 of meiosis from prophase of mitosis is "homologous chromosomes pair up."
prophase 1 of meiosis vs. prophase of mitosisProphase 1 of meiosis is the first stage of meiosis which involves recombination and alleles crossing over genetic material to form non-identical haploid chromatids.
In Contrast, the prophase of mitosis is also the first stage of mitosis which splits the duplicated genetic fabric present in the nucleus of a parent cell to form new identical daughter cells.
However, one of the significant differences between prophase 1 of meiosis and prophase of mitosis in appearance is " homologous chromosomes pair up."
Hence, in this case, it is concluded that the correct answer is "homologous chromosomes pair up."
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A balloon flying at 3000 feet above the ocean measures the angles of depression of each end of an island directly in front of the balloon to be 75. 8° and 15. 6°. What is the length of the island to the nearest tenth of a mile?.
Answer: Distance to close end of island is 3000/tan(75.8); distance to far end is 3000/tan(15.6). The difference is 9985.676 feet or about 1.9 miles.
Explanation: 2 explanation Balloon, flying or levitating, has no front to recon with, so two possible answers.
tan(90–15.6)+or-tan(90–75.08) * 3000= length of island
Which word in the passage helps the reader determine the meaning of the word miscarriage? What is the best definition of the word miscarriage as it is used in this passage?.
The word in the passage helps the reader determine the meaning of the word miscarriage is disgraced. The best definition of the word miscarriage as it is used in this passage is a failure.
What is Inference?
Inference in any literature piece refers to achieving the conclusion of any subject with the support of facts and evidence present in the particular piece of literature.
According to the dictionary, the synonym meaning of the word miscarriage is a failure, ruin, or something that is not achieved or spoiled by something. Most of the time this word is used with Pregnancy when an individual loses their baby.
In this passage, it is used with context as "to be exposed to censure, without hope of praise; to be disgraced by miscarriage, or punished for neglect," where the word miscarriage which means failure is supported by disgraced to determine the meaning.
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The complete question is Probably
It is the fate of those who toil at the lower employments of life, to be rather driven by the fear of evil, than attracted by the prospect of good; to be exposed to censure, without hope of praise; to be disgraced by miscarriage, or punished for neglect, where success would have been without applause, and diligence without reward.
-Preface to A Dictionary of the EnglishLanguage,Samuel Johnson
Answer:
First is Disgraced, Second is failure
Explanation:
No prob :D