Tutor profile: Michael G.
Use el subjuntivo, el indicativo o el infinitivo según el sentido de la frase. (Use the subjunctive, indicative or infinitive according to the sense of the sentence.): Ella aprendió a cocinar antes de que _____ (poder) andar. (She learned to cook before she _____ (can) walk.) El padre prohibe que su hija y su novio ______ (casarse) a una edad tan joven. (The father prohibits his daughter and her boyfriend from _____ (marry) at such a young age.) Yo esperaba la tempestad antes de _____ (ir) afuera. (I was expecting the storm before _____ (go) outside.)
Ella aprendió a cocinar antes de que pudiera andar. (She learned to cook before she could walk.) El padre prohibe que su hija y su novio se casen a una edad tan joven. (The father prohibits his daughter and her boyfriend from marrying at such a young age.) Yo esperaba la tempestad antes de ir afuera. (I was expecting the storm before going outside.)
Describe the three major differences between DNA and RNA with respect to their structure, function, and location.
Structure: DNA is a typically stable, double-stranded nucleic acid consisting of a deoxyribose and phosphate backbone that is attached to one of four nitrogenous bases: adenine, guanine, cytosine, and thymine. RNA is a typically unstable, single-stranded nucleic acid consisting of an oxyribose and phosphate backbone that is attached to one of four nitrogenous bases: adenine, guanine, cytosine, and uracil. Function: DNA stores all hereditary information that dictates the composition and processes of a cell. RNA carries protein-coding instructions from a cell's DNA to its protein-synthesizing ribosomes. Location: DNA is limited to being within the nucleus of a cell. RNA can be found within the nucleus, cytoplasm, and other regions of the cell.
A rancher has 500 meters of fencing that he wants to use in order to fence off the largest possible rectangular area along a straight river. What will the dimensions of the fenced off area assuming no fencing is required along the river?
We can solve this by conceptualizing it as a system of equations corresponding to the Area (A = Length (L) x Width (W)) and Perimeter of fencing used (500 = L + 2W). We can then solve for either L or W in the second equation and substitute for the corresponding variable in the first equation in order create a numeric expression for Area of which we can take the derivative: 500 = L + 2W --> 500 - 2W = L A = L x W --> A = (500 - 2W) x W (multiply and distribute)--> A = 500W - 2W^2 Using the power rule, we can now take the derivative of this equation in order to find its critical number (i.e., where the maximum area occurs): A' = 500 - 4W The critical number will occur when A' = 0: 0 = 500 - 4W --> 500 = 4W --> 125 = W We now know the Width at which the maximum Area occurs and can substitute this value into our original Perimeter equation in order to solve for Length: 500 = L + 2(125) --> 500 = L + 250 --> 250 = L We now know both dimensions and can double check this by substituting both into our original Perimeter equation: 500 = 250 + 2(125) --> 500 = 250 + 250 --> 500 = 500 Moreover, these dimensions provide a maximum Area of 31,250 (250 x 125).
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