Critical Thinking/Math

141,134 results, page 43

math Puzzler..

Hello, This is just a question that has stumped me for some time: We have a normal watch. The big hand is 4cm long and the little hand is 3cm long. What's the distance between the tips of the hands at the moment they are moving the fastest towards each other. 5 cm. Think out ...

life science

Explanation of why the process of mitosis and meiosis are both important to a living organism. When would an organism need to undergo the process of mitosis? When would an organism need to undergo the process of meiosis? What would happen if meiosis did not occur I will gladly...

sociology

what are some ways in which American society is stratified? Please tell us your thinking about this answer and we'll be glad to critque it. Think -- money, power, race, gender I searched Google under the key words "social stratification" to get these possible sources: http://...

Statistics

cant tell if i am on right track for this prababilitly hw assigment help would good! I was recently given a hw assigment dealing with the price is right's "money game". The contestant is shown nine cards on a board. Each card has one pair of numbers. One card has the first two...

yes or no question

hi i have to do a project where i have to find media bias between two articles for government. and i was wondering if it is okay if i could just post little pieces of those two articles and ask for help. when i read the two articles, it doesn't seem like it's bias but i just ...

physics

A stone is thrown vertically upward. On its way up it passes point A with speed, v and point B, 3 m higher than A, with speed 1/2v. Calculate a) the speed v and b) the max height reached by the stone above point B. I can't find the equation You need to derive the solution in ...

composition

I made a correction in my previous paragraph. I want to make sure I identified the verb tenses correctly. Thank you in advance for your thoughts. Our education plays (simple present tense) a significant role in our future financial planning. I have taken (present perfect tense...

Criticla Thinking

Comprehensive Argument Analysis. Must choose two topics. When finished one should have tow sources per topic. Sources can come from Magazines, Academic Journals, News and Web sites. Then must analyze four sources. Provide the title of the souce, provide the source citation, ...

Grammar

Was trying to see if my answers were correct. Subject-verb agreement 1a. Did you know a famous animal-rights activist has criticized horseracing because of the dangers involved? 1b. Did you know a famous animal-rights activist have criticized horseracing because of the dangers...

phsics

A charged particle is moving in a uniform magnetic field. Which of the following statements concerning the magnetic force exerted on the particle is false? A) It does not change the kinetic energy of the particle. B) It can act only on a particle in motion. C) It increases the...

literature: lord of the flies

how much has ralph changed since he's had his first assembly? You will need to brainstorm this in two columns: ~one column in which to list characteristics of what Ralph was like at first ~second column in which to list his characteristics as of the end of the book (or ...

Calculus

let f(x)=x^3(e^-x) Answer using calculus, use graphing calculator only to check work. a) Find the local and global extrema of f. b) Find the intervals where f is increasing/decreasing. c) Find the inflection points of f. d) Find the intervals where f is concave up/down. e) ...

Chemistry

A certain compound containing only carbon and hydrogen was found to have a vapor density of 2.550 g/L at 100 degrees C and 760 mm Hg. If the empirical formula of this compound is CH, what is the molecular formula of this compound? I had some ideas as to how to solve this ...

English

I included some corrections I did myself and a message I need you to check. 1)The apron stage was circular in shape and was projected in the open air. Correction: it's projected into the yard. 2)The witches predict to Macbeththat he will be Thane of Cowdor and king of Scotland...

RE: PHYSICS

A man (weighing 915 N) stands on a long railroad flatcar (weighing 2805 N) as it rolls at 18.0 m/s in the positive direction of an x axis, with negligible friction. Then the man runs along the flatcar in the negative x direction at 40.00 m/s relative to the flatcar. What is ...

please check (physics)

Current flows out of a 110V source through a 10 ohm resistor and then through parallel branches, one containing a 20 ohm resistor and the other a 30 ohm resistor. Find V I R P V I R P 50 5 10 250 60 3 20 180 60 2 30 120 _____________________________ 110 5 22 550 First R total...

to writeacher

The Pines 1. does that mean that he knows the woods in and out? is that what your trying to say? 2. i don't understand exactly what the contradiction is try to tell us also, the mood is still unclear to me but i am thinking it might be related to that poem hanging on his wall ...

ct.

Can someone please check my answers and tell me if I have matched these (5 ) fallacy statements correctly . 1. It takes someone with a really big heart to give to our charity , and you seem like someone who cares more than most . (apple polishing fallacy) ? 2. Your're going ...

art appreciation

Choose 3 works of art from 3 artists from the Baroque period through the Postmodern era. Your 3 works of art should come from the time periods or art movements covered in the readings from Unit 4 and Unit 5. This assignment will have 6 Sections (A–F). Section A contains the ...

physics 4

help me in this topicsmass vol.relationship,graphs and itinterpretation,vectors and scalars help me more to understand this topics the tools in physics,measurement,vectors and scales It is quite impossible to divine what you don't understand. We can easily critique your ...

English

So I'm working on an english paper but I've been stuck the past hour on what to do. I'm trying to take my teachers advice by putting in an anaphorism (repeated words or phrases)but I'm having trouble. I'm repeating the phrase "eight months" but I'm stuck on my last sentence. I...

special ed

I need to make lesson plans for students with mental retardation. Can you please tell me what you think of my ideas. For Pre-K work on gross motor skills, play simon says, use songs that make the child use their motor skills (if you're happy and you know it, clap your hands, ...

Ethical Theory, Business Practice, and the Corpora

Speedy Motors Company (SMC) gave less than a month notice before they laid off nearly 2,000 workers and closed the facility. This facility had been providing jobs for the community for over 20 years. Terms of the close - what notice would you give, what benefits would you ...

critical thinking

Need serious help on this Ms. Sue, Assignment: Argument Evaluation · Read the article “Controlling Irrational Fears After 9/11” on pp. 456-458 of Appendix 1. · Identify at least two arguments in the article. Outline the premises and conclusions of each argument you find...

Child Development Question

Negative behaviors by toddlers which tax the patience of adults may be a sign of which? A. HAVING BEEN SPOILED B. INSECURITY AND FEAR OF FAILURE C. An EMERGING SENSE OF AUTONOMY D. HOSTILITY TO PARENTS AND CAREGIVERS I am thinking (D)hostility to parents and caregivers is the ...

poetry

I need help determining the meter in my poem. The Ocean says, "Roar" to wake me up, And I smile as I grab my coffee cup, Because this is the day the Lord has made! I refuse to quiver and be afraid. The sunburst peeks through my window wide, And stay that way till close noon ...

Business Management and Leadership

Deliverable Length: 4-6 slides with in-depth speaker notes Today, many organizations and managers face new challenges everyday. One critical aspect of the challenges that managers lack in is within the planning stage. You have been asked by your manager to conduct a ...

physics

Two factors: 1) the weight of the car is now partially down the cable, it adds to tension: mgsinTheta is the component of weight pulling back on the cable. 2) going up you have mass*acceleration. Total tension: ma +mgsinTheta check my thinking, draw a diagram. A section of an ...

Statistics

Which of the following statements are true about matched pairs analysis? I. In a matched pair analysis you use a single-sample procedure. The sample is made up of the difference between pairs of observations. II. In a matched pairs analysis the two original samples are said to...

last 4 art questions

1. Connoisseurship was a process in 19th century architecture. a. true b. false 2. Landscape architecture flourished in the late 18th century. a. true b. false 3. Jacques-Louis David was the leading force in French painting during the revolutionary and Napoleonic eras. a. true...

9th grade

Please answer the following questions in brief paragraph form. Use complete sentences with proper spelling, punctuation, and grammar. Place your answers in the box below and then click the Submit button at the bottom of the page. 1. What are instances in your own experience ...

Biology

In this assignment, you will select one of the options that you can compare a cell to and design an analogous development structure. then, you will compare the structure of your development to the organelles of the cell that you have learned about in this unit. you will draw a...

Physics - pulley

A construction crew pulls up an 87.5-kg load using a rope thrown over a pulley and pulled by an electric motor. They lift the load 15.5 m and it arrives with a speed of 15.6 m/s having started from rest. Assume that acceleration was not constant. I have done the problem but am...

English writing an e-mail

Thanks to all that helprd me regaurding my e-mail questions. I was just wondering in the revised part there is no mention of the client being Joceyln Talbot. Also I was told that I do need a subject line I am not sure how I would do that being that I would being using ...

AP Environmental Science

I have a word problem about exponential growth. The problem is... "At 6am a few bacteria fall into a can of syrup in a broken garbage bag. The conditions of warmth, moisture, and food are perfect for growth and the population doubles every 20 minutes. By 6pm the bacteria are ...

Economics

Why would a country choose to have a mixed economy? I know a mixed economy is a combination of a command and a free market economy. I don't understand the point of combining these two types of economies because they are basically totally opposite.It would be like having the ...

History

Can someone help me out here? Quote: “He has abdicated Government here, by declaring us out of his Protection and waging War against us. He has plundered our seas, ravaged our Coasts, burnt our towns, and destroyed the lives of our people. He is at this time transporting ...

ENGLISH-TOPICS OF LITERATURE

This week’s assignment requires that you prepare a reading journal. The reading for the journal is Naguth Mahfouz's "The Lawsuit." In preparing your reading journal, you will be asked to write some responses, summaries, and a précis. Be mindful that the reading journal is ...

chemistry

Posted by Bret on Friday, March 16, 2007 at 10:44am. what is the oxidation number for nitrogen in the following? NH3 NO2 1- N2 NO2Cl N2H4 For Further Reading chemistry - bobpursley, Friday, March 16, 2007 at 11:26am We will be happy to critique your thinking or work. chemistry...

AED

Choose a grade level and a scientific concept appropriate for that level. • Plan a science experiment to explore this concept. In your paper, address the following points: o List the equipment and materials to be included in the science kit. o Explain what safety precautions...

English

The essay is supposed to be on Advertisements, then we have to narrow it. I have narrowed it to TV advertisements on cars. I was thinking of TV advertisements appeal in the following ways: accessibility, image changing and ???. accessibility would be those advertisements that ...

historic art facts

1. Connoisseurship was a process in 19th century architecture. a. true b. false 2. Landscape architecture flourished in the late 18th century. a. true b. false 3. Jacques-Louis David was the leading force in French painting during the revolutionary and Napoleonic eras. a. true...

English thinking

I am looking for why the media does not talk about bird flue , any more? Is there is some reasons why they do not talk about it anymore, do u have any idea? Yes. It does not sell anymore. Media tend to go with sensationalism, and not cover subjects that are well worn. Some of ...

statistics

Assume that you own a small factory. A critical piece of machinery in your factory will need to be replacedin 180 days. If the machinery does not show up on time, you will need to shut down until it arrives. This might cause you to permanately lose customers.When you order the...

College english

Don't want to forget what you learned today? Sleep on it. Naps, ideally 90 minutes long, help you register the happenings and how-to's learned during the day. Then when you catch your z's at night, your brain creates memories of the day's events. But overload your brain with ...

Art

Writeacher, I urgently need to revise these sentences. I really hope you can help me. 1) Ads can change and can wash the minds of children. Some years ago people used to switch channels to avoid ads, but we do it less and less 2) Nowadays most people switch channels to avoid ...

business Maths

The main concept to investing is diversify your investments. The old saying of “don’t put all of your eggs in one basket” exemplifies this concept. Kerry Stutsman has saved $2,400 and is wondering how to invest it. She was researching different investment options and ...

English

This is my Trombone Solo poem. Please see if it's good, thanks:-) I like people Who gain knowldge from school; Not any kind of people, Silly ones or cruel. I like people possessing respect in their hearts, Thinking positively about others, And doing their parts, Accountable ...

Stuck on 3d - Math

Suppose you’re thinking about buying a used car, but you’ve become worried about the selection problems. In this market, the seller of each car knows the true value, but the buyer can’t determine the value until after purchase. Assume that there are 6 sellers with cars ...

college/accouting

A fast-food establishment is thinking of buying a new cooking grill and refrigeration unit. The costs of these new machines are $12,500 and $9,000, respectively. The installation costs of the new equipment will run about $800. It is estimated that 10% more customers can be ...

Science, very urgent please help

An experiment is set up to test whether a particular insect prefer a dark or a bright environment. A chamber with a gradient in light intensity from one end (dark) to the other (bright) has been made. The experimental hypothesis is: “There will be a large difference between ...

science very urgent need help

An experiment is set up to test whether a particular insect prefer a dark or a bright environment. A chamber with a gradient in light intensity from one end (dark) to the other (bright) has been made. The experimental hypothesis is: “There will be a large difference between ...

Chemistry

Hello. Can I get someone to help me set up these problems? 1.) How many moles of N are there in 2.6 moles of NHO3? 2.) How many moles of C2H6 (g) are consumed when 4.4 mol CO2 (g) are produced? 3) How many milliliters of 0.80 M CuSO4 must be diluted to make 866 milliliters of ...

statistics

Question 1 Question 1 1. Question 1 text The head of the History Department wants to compare the averages of 2 different instructor’s to see if they differ. A sample of 15 students in Instructor A’s class has average of 74 with a standard deviation of 11. A ...

physics

An airplane flies at airspeed (relative to the air) of 400km/h. The pilot wishes to fly due North (relative to the ground) but there is a 110km/h wind blowing Southwest (direction 225º clockwise from North). In what direction should the pilot head the plane (measured ...

Writing Help please!!

I have to write a short story for my class. I was wondering if you could help me with the title. I have the plot as a devastated teenage girl. She has parents that are alcoholic and neglect their daughter. She ends up running away hoping to run from all the pain. Her name is ...

english/broadcasting

can you proofread my broadcast news stories I had to write.. had to write 3 of them answering the who what when where why and how... if they need revising that's fine.. from what i understand broadcast news stories have to be conversational. 1. THE MICHIGAN STATE ...

Critical thiinking

(1) It is an article of faith among some economists that the significant inventions of the contemporary world are the results of the innovative genius of big business organizations. (2) Yet in the United States, the current trend toward corporate mergers has been accompanied ...

computers

2. An enterprise level company wishes to set up a network to support several hundred business users as well as manufacturing equipment in a new building. Describe what network device or devices you would recommend they purchase and explain why. Note, you are not required to ...

overview of teaching techniques

which of the following statements is a good technique to use when tutoring a student? (a)''the next problem is easy.you should be able to get it.'' (b)''this next problem is hard,but lets see if you can get it.''(my answer) (c)''johney and erica can do these problems,why cant ...

poiseuille's law

GIVEN: L = 3.0 cm = 0.03 m r = 0.3 mm = 0.0003 m (delta) y = 1.0 m 1 pint = 500 cm^3 [approx.] given a) Find the rate of flow, F = ? b) How long will it taken to inject 1 point of blood, t = ? a & b) I know we need to find the pressure or speed. F = (P at) (A) = (P at ) (pie) ...

General

How would you say the leadership at Enron impacted the organization, the customers, and the employees? http://www.google.com/search?q=enron+leadership&rls=com.microsoft:en-us:IE-SearchBox&ie=UTF-8&oe=UTF-8&sourceid=ie7&rlz=1I7SUNA There are many ideas in here that should help ...

critical cognition

Can someone help me evaluate this hypotheses? Evaluate the following hypothese using the five criteria ( The Scientific Method ) for a good scientific explanation. If the hypothesis is inadequate, formulate a new hypotheses and discuss why it is better. A. People who consume ...

Physical Science Question 2

What is the electromagnetic spectrum? Give examples of each kind of wave and relate each example to its relative position in the spectrum. I will be happy to critique your thinking on this. The following 2 sites will answer all your questions. http://www.geo.mtu.edu/rs/back/...

English

1. When you talk about the purpose of a thing, what expressions do you use? 2. What expressions do you use when you talk about what you do well? 3. Have a conversation about your classmates' specialties with your partner. 4. After thinking about yourself, fill in the blanks. 5...

English

I need some help diagraming the sentence: How can an art decay? Thanks, Michelle art | can decay ________________ \ \ \an \ How \ \ Please note in the above diagram that "How" modifies "can decay." i need help distinguishing verbs from verbals (cont.) i need help with ...

Chemistry(Please check)

For an experiment we had to test the equilibrium of BiCl3 - BiOCl First I had to mix a small amount of BiCl3 with 2mL of water. After doing this the color was cloudy white. Then I added6.0M of HCl drop-wise in which the color became clear. Then 25mL was added and the color was...

Management accounting

Andre has asked you to evaluate his business, Andre's Hair Styling. Andre has five barbers working for him (Andre is not one of them) Eash barber is paid $9,90 per hour and workd a 40-hour week and a 50-week, regardless of the number of haircuts. Rent and other fixed expenses ...

Preschool teacher needs your help... thx soo much

Pre-school teacher NEEDS YOUR HELP!!! thanks sooo much? I am a preschool teacher and the theme for this week is "Land/Air/and water".... My kids are 3 and 4.... what lesson ideas or craft ideas do u have in mind for this theme... I wanted to do a fun activity about the water ...

Critical Thinking (philosophy)

1. 21{1[2(24)24]}> The average height of members of the high school basketball team is six feet, three inches. Jerry is on the high school basketball team, so Jerry must be taller than six feet. The argument above is flawed because it confuses (Points : 1) Jerry with other ...

speech

So Im going to be doing an informative speech on dog-human communication. The visual aid I can use is a powerpoint. I really need help kind of outlining/ deciding what to talk about. I got a couple of books and have some research on it and there seems to be a whole lot of ...

microeconomics

potatoes chickens MICHELLE 200 PER YEAR 50 PER YEAR jAMES 80 PER YEAR 40 PER YEAR What is michelles opportunity cost of p roducing potatoes WHAT is MICHELLES OPPORTUNITY COST of producing chickens repeat same opportunitity cost for James WHICH PERSON MICHELLE OR jAMES HAS ...

math

Barry heard in his Personal Finance class that he should start investing as soon as possible. He had always thought that it would be smart to start investing after he finishes college and his salary is high enough to pay the bills and to have money left over. He projects that ...

anyone solve it....

Question 1 Describe the following descriptors. Give their type and the value of all their fields: i.dd 01234567h, 789abcdeh ii.dd 30405060h, 70809010h Please remember these things, especially #s 1 and 2: 1. This is a homework help website; please put your subject (math, ...

english critical th.

1) It is an article of faith among some economists that the significant inventions of the contemporary world are the results of the innovative genius of big business organizations. (2) Yet in the United States, the current trend toward corporate mergers has been accompanied by...

calculus

how do you calculate the instantaneous rate of change. is that the derivative. also: if f is the antiderivate of (x^2)/(1+x^5 such that f(1)=o then f(4)=? How would i find the integral of that? i don't even know what the first step is to get the answer. also, on this question...

MATH, ALGEBRA

cAN SOMEONE JUST SHOW ME HOW TO GET THE EQUATION IN ORDER TO SOLVE IT MYSELF. i'LL APPRECIATED. bUSINESS AND FINANCE. The Randolphs used 12 more gal of fuel oil in October than in September and twice as much oil in November as in September. If they used 132gal for the 3months...

Accounting

A business pays weekly salaries of $20,000 on Friday for a five-day week ending on that day. The adjusting entry necessary at the end of the fiscal period ending on Thursday is: debit Salaries Payable, $16,000; credit Cash, $16,000 debit Salary Expense, $16,000; credit Drawing...

Statistics

Recall that very satisfied customers give the XYZ- Box video game system a rating that is at least 42. Suppose that the manufacturer of the XYZ- Box wishes to use the random sample of 65 satisfaction ratings to provide evidence supporting the claim that the mean composite ...

physics, torque

A crane shown in the drawing is lifting a 170-kg crate upward with an acceleration of 1.8 m/s2. The cable from the crate passes over a solid cylindrical pulley at the top of the boom. The pulley has a mass of 130 kg. The cable is then wound onto a hollow cylindrical drum that ...

Hydrogen bonding with polypeptides

In a polypeptide at physiologic pH, hydrogen bonding may form between which of the following? a) side chains of leucine residue and lysine residue b) side chains of aspartyl residue and glutamyl residue c) terminal amino acid group and terminal carboxyl group d) amide group in...

Physics

Note: I am in Algebra-based Physics Two 35.0 N weights are suspended at opposite ends of a rope that passes over a light, frictionless pulley. The pulley is attached to a chain that is fastened to the ceiling. Start solving this problem by making a free-body diagram of each ...

Child Development--I Need Your Help!

When attempting to modify a child's behavior using negative reinforcement, the desired result is that the child will: A. Withdraw from certain social activities B. repeat behavior for which they get the desired result C. avoid behaviors that carry undesireable consequences I ...

health [slogan]

i need a slogan for teen driving laws for a health project. any ideas? The life you save may be your own! anything else? Be a smart driver and not a smart aleck corpse. Other teachers may have additional ideas. Please keep checking. i was thinking: Strive to drive... SAFE! ...

biology

Hemoglobin is a critical oxygen-carrying protein. The protein functions as a tetramer with two α-globin subunits and two β-globin subunits. Individuals homozygous for a specific single point mutation in the region that encodes the sixth amino acid in β-globin ...

physics question

The sum of the emfs and potential difference around a closed loop equals zero" is a consequence of: a) Newton's third law b) Ohm's law c) Newton's second law d) conservation of energy e) conservation of charge For this question: I had picked d conservation of energy but now I ...

susane

I have a question concerning waves. What effect does increasing the tension in a vibrating string have upon wavelength? I was thinking that as the weight increases more standing waves are created. As more standing waves are created, the wavelength decreases. I have one more ...

Math....Please help I have a deadline for tonight!

Use the geometric sequence of numbers 1, 1/3, 1/9 , 1/27… to find the following: b) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 10 terms? Carry all calculations to 6 decimals on all assignments. Answer: Show work in ...

science( chem)

Find the pH of a solution prepared by disolving 1.00g of glycine amide hydrochloride (BH+) (mwt=110.54g/mol) plus 1.00g of glycine amide (B)(mwt=74.08) in 0.10L PKa=8.04 I got pH= 8.21 Is that correct? This question actually has 4 extra parts but I wanted to make sure I got ...

help on a question

I needed help on a physical science question. When the molecules in a body move with increased speed, it's possible that the body will change from a... A) gas to a liquid B) gas to a solid C) liquid to a solid D) liquid to a gas PLEASE HELP ME!! If the molecules are increasing...

English

I was referring to my previous sentence: they checked (in) their bags for cigarettes. I urgently need to check these sentences. I believe there are mistakes in the word choice,. Thank you. 1) Another blow (I need a synonym) to traditional beliefs came from the new philosophers...

statistic

Many wildlife populations are monitored by taking aerial photographs. Information about the number of animals and their whereabouts is important to protecting certain species and to ensuring the safety of surrounding human populations. In addition, it is sometimes possible to ...

stastics

A recent article in a computer magazine suggested that the mean time to fully learn a new software program is 40 hours. A sample of 100 first-time users of a new statistics program revealed the mean time to learn it was 39 hours with the standard deviation of 8 hours. At the 0...

Chemistry

At a particular temperature, K=3.75 for the following reaction. SO2(g) + NO2(g) (reversible arrows) SO3(g) + NO(g) If all four gases had initial concentrations of 0.500 M, calculate the equilibrium concentrations of the gases. K=(.5+x)^2/(.5-x^2) solve for x I will be happy to...

Vocabulary

WORD BANK SCROUNGING,EAVESDROPPING,WISTFULLY,EXCITABLE,ACQUAINTANCE,SYMPATHETICALLY 1.I LOOK SAD OR LONGING WAY. I'M LOOKING *Blank* 2.i overhear what you'r saying. Am i *BLANK* 3.it's easy 2 make me act wild. I'm *BLANK* 4.I SEARCH THROUGH SOMEONES JUNK. I'M *BLANK* 5.I THINK...

English

The following sentence is an example of which primary English sentence pattern? The toddler tossed his father the ball. A. Pronoun, subject, interrogative verb B. Subject, action verb, indirect object, direct object. C. Subject, verb, object, object complement D. Subject, ...

Drivers ED

When is the best time to use a three-point turnabout? A: When you are in heavy traffic B: When you are on a one way street C: when empty driveways are available D: When there is no other option**** Use perpendicular parking to park? A: diagonally to the curb B:parallel to the ...

ethics in health care

Managed care was introduced into the U.S. healthcare system in an effort to control costs while still providing quality healthcare to Americans (Moore, 2009). However, opponents of managed care have pointed to a potential ethical pitfall of skimping on services or testing in ...

Economics

Now lets consider a different type of government bond, a ten-year inflation indexed bond. Payments on this bond are adjusted for inflation based on the CPI. If inflation rises by five percent, interest payments on this bond will rise by five percent. Interest rates on this ...

Weighted Averages

I am assuming this is a 1,000g mixture. 42% H3BO3 = 420g H3BO3/(420g H3BO3+580g H2O)= 0.42 by mass. 420g H3BO3/(420g H3BO3+580g H2O+Xg H2O)= 0.06 Solve for X Check my thinking. Check my work. There is an alternative approach. You want to dilute it by a factor of seven. (42 to ...

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