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Questions in mathematics

[Done] 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\}

[Done] 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.

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

[Done] Choose the correct simplification of $\left(2 x y^2\right)^2\left(y^2\right)^3$. A. $2 x^2 y^{10}$ B. $4 x^2 y^9$ C. $4 x^2 y^{10}$ D. $2 x^2 y^9$

[Done] 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.

[Done] A circle has a central angle measuring \(\frac{7\pi}{6}\) radians that intersects an arc of length 18 cm. What is the length of the radius of the circle? Round your answer to the nearest tenth. Use 3.14 for Pi. (A) 3.7 cm (B) 4.9 cm (C) 14.3 cm (D) 15.4 cm

[Done] Solve the given problems. 2. A child needs to take 1 1/6 tablespoons of medicine per day in 4 equal doses. How much medicine is in each dose? 1. What is asked in the problem? 2. What are the given facts? 3. What is the operation to be used? 4. What is the number sentence? 5. Show your solution. The final answer got.

[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 $(2,-2)$. [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.

[Done] 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.

[Done] Given the function below, fill in the table of values and use the table values to graph. [tex]y=-3 x[/tex] | x | y=-3x | |---|---| | -3 | | -2 | | -1 | | 0 | | 1 | | 2 | | 3 |