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Questions in Grade College

[Jawaban] Solve $x^2=12 x-15$ by completing the square. Which is the solution set of the equation? $ \left\{-6-\sqrt{51},-6+\sqrt{51}\right\} $ $ \left\{-6-\sqrt{21},-6+\sqrt{21}\right\} $ $ \left\{6-\sqrt{51}, 6+\sqrt{51}\right\} $ $ \left\{6-\sqrt{21}, 6+\sqrt{21}\right\}

[Jawaban] Six identical square pyramids can fill the same volume as a cube with the same base. If the height of the cube is $h$ units, what is true about the height of each pyramid? A. The height of each pyramid is $\frac{1}{2} h$ units. B. The height of each pyramid is $\frac{1}{3} h$ units. C. The height of each pyramid is $\frac{1}{5} h$ units. D. The height of each pyramid is $h$ units.

[Jawaban] Convert to an exponential equation. [tex]$\log _n M=-y$[/tex]

[Jawaban] Which of the following real-life decisions is least likely to use financial accounting information? A. Should a bank loan money to a specific company? B. Should an individual invest money to become one of the owners of a company? C. Should the company fire an hourly maintenance worker? D. Should another business make sales on credit to a specific customer?

[Jawaban] Yuric then notices the jacket was on the sales rack, which is why there is a difference in the price he thinks it should be. Next to the jacket is a sweater Yuric really wants. Yuric decides to add a sweater along with the jacket to his purchases. His new total is now $221.91. He ponders how much he has spent on the sale items. Solve the equation $168.32 + n = $221.91 to determine the cost of the jacket and sweater Yuric chose from the sale rack.

[Jawaban] a. What if your income from stocks is lost? b. What if you need to go to the doctor? c. What if the electric bill increases? d. What if you need to replace the furnace?

[Jawaban] 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 $(2,-2)$. [tex]\sqrt{(-1-2)^2+(2-(-2))^2}[/tex] [tex]\sqrt{(-3)^2+(4)^2}=5[/tex] 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.

[Jawaban] Ali's mass is 45 kg and May's mass is 40 kg. (a) Express Ali's mass as a percentage of May's mass. (b) Express May's mass as a percentage of Ali's mass.

[Jawaban] Select the correct answer. What is this expression in simplified form? [tex]$\sqrt[3]{1,000}$[/tex] A. 333 B. 100 C. 31 D. 10

[Jawaban] Find [tex]\frac{d y}{d x}[/tex] of the following [tex]y=\frac{\sin 5 x}{5 x^4}[/tex]