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Questions in Grade College

[Done] Solve the equations to find the number and type of solutions. The equation $8-4 x=0$ has $\square$ real solution(s).

[Done] A circle centered at $(-1,2)$ has a diameter of 10 units. Amit wants to determine whether $(2,-2)$ is also on the circle. His work is shown below: The radius is 5 units. Find the distance from the center to $(2,-2)$. $\sqrt{(-1-2)^2+(2-(-2))^2}$ $\sqrt{(-3)^2+(4)^2} = 5$ The point $(2,-2)$ lies on the circle because the calculated distance is the same as the radius. Is Amit's work correct? A. No, he should have used the origin as the center of the circle. B. No, the radius is 10 units, not 5 units. C. No, he did not calculate the distance correctly. D. Yes, the distance from the center to $(2,-2)$ is the same as the radius.

[Done] Solve for $x$. $\ln (x+3)-\ln 4=4$ Do not round any intermediate computations, and round your answer to the nearest hundred $x=\square$

[Done] Which of the following identifies the three different types of intelligence in Sternberg's triarchic theory? A. emotional, cognitive, and linguistic B. verbal, mathematical, and interpersonal C. analytical, creative, and practical D. verbal, nonverbal, and practical

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

[Done] Which expression is equivalent to [tex]$\left(4 x^3 y^5\right)\left(3 x^5 y\right)^2 ?[/tex]

[Done] What is the difference of the polynomials? [tex]$\left(12 x^2-11 y^2-13 x\right)-\left(5 x^2-14 y^2-9 x\right)$[/tex]

[Done] \frac{4 m-9 n}{16 m^2}-\frac{9 n^2+1}{4 m-3 n}

[Done] Which of the following exponential equations could be represented by the table below? | x | -3 | -2 | -1 | 0 | 1 | 2 | 3 | 4 | 5 | |---|--------|--------|--------|--------|--------|--------|---|---|----| | y | 2.0014 | 2.0041 | 2.0123 | 2.037 | 2.111 | 2.333 | 3 | 5 | 11 | A. [tex]$y=\left(\frac{1}{3}\right)^{x-3}-3$[/tex] B. [tex]$y=3^{x-7}-3$[/tex] C. [tex]$y=3^{x-3}+2$[/tex] D. [tex]$y=\left(\frac{1}{3}\right)^{x-3}-2$[/tex]

[Done] Which statement best describes the effect of tone on the reader? A. The tone helps the reader interpret an author's attitude on a subject. B. The tone helps the reader learn details about an author's background. C. The tone helps the reader make an informed decision about a subject. D. The tone helps the reader interpret the structural plot path of a text.