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Questions in Grade College

[Done] Graph the quadratic function by plotting the vertex and some intercepts: [tex]$f(x)=4 x^2-8 x+3$[/tex]

[Done] Originally, the Bill of Rights limited only the power of which of the following? A. Executive branch B. National government C. State government D. Supreme Court E. Regional government

[Done] An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

[Done] Select the correct answer. The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number? A. 4 B. -2 C. -1 D. 1

[Done] Which processes release carbon dioxide into the air? A. combustion and photosynthesis B. combustion and respiration C. digestion and respiration D. photosynthesis and respiration

[Done] Describe generators and relations for all dihedral groups [tex]D_{2 n}[/tex]. (Hint: Let [tex]x[/tex] be reflection about a line through the center of a regular n-gon and a vertex, and let [tex]y[/tex] be counterclockwise rotation by [tex]2 \pi / n[/tex]. The group [tex]D_{2 n}[/tex] will be generated by [tex]x[/tex] and [tex]y[/tex], subject to three relations. To see that these relations really determine [tex]D_{2 n}[/tex], use them to show that any product [tex]x^{i_1} y^{i_2} x^{i_3} y^{i_4} \cdots[/tex] equals [tex]x^i y^j[/tex] for some [tex]i, j[/tex] with [tex](0 \leq i \leq 1,0 \leq j[/tex]

[Done] An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

[Done] Use this table of a school bus during morning pickups to calculate its average speed between 0 h and 2.340 h. | Position (km) | Time (h) | |---------------|----------| | 0.0 | 0.000 | | 1.2 | 0.024 | | 2.8 | 0.051 | | 4.2 | 0.084 | | 16.3 | 2.340 |

[Done] What is the image of $(5,-2)$ under the transformation $r_{y=x}$? A. $(5,2)$ B. $(2,5)$ C. $(-2,5)$ D. $(-5,2)

[Done] Mr. Asti earns UGX 1.5 million per month. He intends to buy a house but his current savings are UGX 10 million. A real estate company is selling Mr. Droti's dream home at UGX50 million. A bank which offers a loan at a compound interest rate of 9% per annum, after a down payment of UGX 10 million is willing to give Mr. Droti a loan so that he pays back in installments for 5 years. a) How much money will Droti pay for each installment? b) Write down the formula for computing the monthly payments.