Homework answers and tutorials

Waiting for answer What is the common ratio for this geometric sequence ?
6 The ##n^(th)## term of a geometric sequence is generated by: ##a_n = a_"n1" xx r## Where r is the common ratio In this example: ##a_0 = 4## ##a_1 = 24 = a_0 xx 6## ##a_2 = 144...
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Waiting for answer What is the mode, median, and mean of 3, 12, 11, 7, 5, 5, 6,...
Mode is ##5##, median is ##6## and mean is ##7##. Let us write the given data points in increasing order. These are ##{3,4,5,5,6,7,10,11,12}## Now mode is the data point which ap...
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Waiting for answer How do you simplify ##Sin(Cos^1 x)##?
##sin(cos^(1)(x)) = sqrt(1x^2)## Let's draw a right triangle with an angle of ##a = cos^(1)(x)##. As we know ##cos(a) = x = x/1## we can label the adjacent leg as ##x## and the...
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Waiting for answer How do you find the square root of the fraction 64/100?
Have a look: You can write: ##sqrt(64/100)=sqrt(64)/sqrt(100)=## and solve the two (exact) roots separately! So you get: ##8/10=4/5##
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Waiting for answer If ##a^2 + b^2 = 4## and ##(ab)^2 =2##, what is the value o...
1 Given : ##a^2 + b^2 =4##.......1 ##(ab)^2=2##.....2 First expand the 2 equation : ##(ab)^2=2## ##a^22ab+b^2=2## ##a^2+b^22ab=2##........3 put 1 equation into 3 equation : ##...
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Waiting for answer What did Thomas "Stonewall" Jackson do to gain his nickname...
During the battle of Bull Run, Stonewall Jackson commanded a brigade of Virginian Confederate Troops held back the Union attack. Jackson got the nickname "Stonewall" Jackson for this stand....
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Waiting for answer At what temperature, the hydrogen molecules will have same k...
You are right: at 280 K In every system at thermal equilibrium all molecules interact with each other by means of random collisions, thus transferring kinetic energy among them. Even...
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Waiting for answer What would be the major product obtained from hydroboration–...
3methyl2butanol In hydroborationoxidation an antiMarkovnikov type of addition occurs, leading to the less substituted alcohol
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Waiting for answer What are the major characteristics of the euphotic zone?
The euphotic zone is the shallow layer of a lake or the ocean that receives enough sunlight for photosynthesis to occur. The depth of euphotic zone varies on water clarity, latitude and season.
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Waiting for answer What is amylase? Where is it found? What does it do?
Amylase is an enzyme that digests starch. Amylase breaks starch down into maltose. It is secreted by the pancreas and the salivary glands in the digestive system. Salivary amylase...
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Waiting for answer How do you solve ##Cos 2 theta = cos theta##?
##theta=(2n+1)pi/2## or ##theta=2npi+(2pi)/3##, where ##n## is an integer. ##cos2theta=costheta## or ##2cos^2theta1=costheta## (using formula for ##cos2theta##) the above becomes...
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Waiting for answer How do you solve the Arrhenius equation for ##T_2##?
Here's how you could do that. The Arrhenius equation does not include a ##T_2##, it only includes a ##T##, the absolute temperature at which the reaction is taking place. However...
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Waiting for answer What does the percentage of M.F. on the yogurt mean?
It means it was made from milk that had a certain percentage of fat. Milk contains a mixture of saturated fats. A common one is palmitic acid, or myristic acid. You can search these...
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Waiting for answer How do you write 6 1/2 miles and 1 1/4 miles as decimals?
Perform the division indicated by the fraction and add it to the integer. ½ = 0.5 and ¼ = 0.25 So, the respective decimal forms of the fractions are 6.5 and 1.25. It is usually ea...
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Waiting for answer What is the difference between an aldose and a ketose?
An aldose contains an aldehyde group; a ketose contains a ketone group, The ending ose tells you that both aldoses and ketoses are carbohydrates. Carbohydrates are really just p...
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Waiting for answer What is the principle of independent assortment?
The paternal and maternal chromosomes of the bivalent pairs can face either pole. This causes genetic variation. The Principle of Independent Assortment describes how different gen...
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Waiting for answer In what organ is the waste from the digestion process collec...
The final part of the intestinal tract acts a trash bin. The large intestine (not long but wide) is really the last part of the digestive system that has any part to do with digesti...
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Waiting for answer What are continuous functions?
We may also state two alternative definitions of , using either the sequential criterion or else using topology and open sets. Alternative definition number 1 Let ##f: X  Y## be a...
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Waiting for answer In which abdominal quadrant is the liver located?
Most of the liver is in Right Upper Quadrant, but a small part is in Left Upper Quadrant. Abdomen can be divided into 4 quadrants. The location of abdominal organs is expressed usin...
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