you use the quadratic formula, the two solutions are   -b+/-  sqrt(b2 -4ac)                                                                                           2a   so...

are you positive that all the details are exactly correct? The answer, if the numbers above are exact, should be a multiple of 4, 5 and 3, or 60. However as listed the totals do not add up. Dorene O.

Odysseus loves his wife Penelope and wants to return to Ithaca. However he is seduced by Calypso and although he refuses to become her husband and an immortal, he cannot break free so easily. He remains with Calypso for 7 years on her beautiful island. Calypso has the power to seduce men and keep...

The oceans are much larger than lakes. Every molecule of water is attracted  by the moon and the sun. The sun is more massive, but much farther away than the moon, so the main factor is the moon with a sun effect as well. The equation is Newton's gravitational equation, F = GM1M2/R2 where the...

Will jogs 11 minutes on week 1, and 16 minutes in week 2, etc. Let W stand for the week number.   Therefore an equation for the number of minutes jogged is 11 + 5(W-1)=minutes jogged   That way you account for the first week being called week 1. Now to solve this we...

assuming the (5). means 5 times what is in parentheses, we use the rule of multiply/divide before addition or subtraction, so inside the parentheses we get 15+y-2+z-1, and then combining, we get 12 + y + z. You then multiply each component inside the parentheses by 5, so final is...

CaO + H2O goes to Ca(OH)2 aqueous, that is, the Calcium oxide is in an excess of water so it forms an ionic compound as above. The Ca2+ ions and the OH- ions dissociate in the polar water solution. One hydrogen ion from the water binds with the oxygen in the calcium oxide and then...

Your answer is the same one I got doing several methods. Are you sure that it is written correctly? Any parentheses missing?   Dorene O

The main branched structure (polysaccharide) is glycogen, which is highly branched, converted from sugars and stored in the liver for energy. The fatty acids, whether saturated or unsaturated, are long unbranched hydrocarbons. When combined into lipids, three fatty acids are attached to a glycerol...

Charlemagne was illiterate. One reason to hire scholars was for his own education, which was somewhat successful.   Also, he was administering a large territory via the Church. He needed to educate the priests and monks in the monasteries so that they could administer the territory,...

This is partly my opinion, in that I believe the attempt at Prohibition was a complete failure. Having said that, A functionalist considers how each part of society contributes to the stability of society. The anti alcohol folks felt that they could make society better and more stable by getting...

The processes are ionization and dissociation. For example, take the compound sodium chloride. Sodium wants to give up an electron and Chloride wants to gain an electron; this puts both compounds in a very stable state with 8 electrons in the outermost shell. In water, the sodium ions and chloride...

This phase is called the prosperity phase or economic expansion. There are several reasons why it is easy for consumers to buy. There is a high level of output and trade, which means high employment and higher levels (relative to the past) of income. Banks expand credit in this phase, which means...

Charles Beard argues that the constitution was written by a group of rich landholders who wanted to protect their property at the expense of the debtors and the poor farmers. The slaveholding, landed class, he believed, was not motivated by philosophy. Rather, they were motived by their own economic...

Dispersal is the method that the seeds are spread from the plant. Some just drop, others are in fruits, and others are carried by animals or the wind. When the environment is full of the right light and water, seeds can easily spread nearby and germinate. However if the area is difficult, such as...

The formula is n!/(r!(n-r)!) for combinations. n = 9 and r = 3. If there were no restrictions it would be 9x8x7x6x5x4x3x2x1/(3x2x1x6x5x4x3x2x1) and when you cross off the duplicates in the numerator and denominator you get a total of 84.   The easiest way to figure the ways with...

both is the cosine of 2pi/3 and 4pi/3 = -0.5. since pi/3 = 60 degrees, 2pi/3 is 120 and 4pi/3 is 240, putting them in the 2nd and 3rd quadrant, where cosine is negative   You can then set up that x = -.5y = -.5z   xy = -.5y*y (substituting -.5y for x) and from the above...

The cotangent is 1/tan. From your mnemonic (All Students Take Calculus) (that's the one I like, anyway) you know that in quadrant I, All are positive, in quadrant II the Sine is positive, in quadrant III the Tangent is positive, and in quadrant IV the Cosine is positive.   The...

Assuming all numbers are weighted the same and nothing else contributes to your grade, this is a standard percent question. 340.63/395 =0.862   Multiply this fraction by 100 to get your percent grade in the class. Good!   Dorene O.