Questions in Grade High-school

Questions in Grade High-school

[Free] An Egyptian pharaoh has ordered the construction of four square pyramids. The main pyramid will be the tallest, while the other three will each be half its height. All four pyramids must have a height to base length ratio of 2:3. The pharaoh has allocated a maximum amount of 30 million cubic feet of stone for construction. Find the largest possible values for the base length and height, to the nearest foot, as well as the volume of each pyramid, in scientific notation to 3 decimal places.

[Free] According to modern science, Earth is 4.5 billion years old and written human history extends about 10,000 years back. Suppose the entire history of Earth is represented with a 1000 meter long timeline, with the birth of Earth on one end and today on the other. 1. What distance represents 2 billion years? 2. How far from the end of the timeline does written history begin?

[Free] Use scientific notation to perform the calculation: \[0.07 \times \frac{1600}{0.0004}\]

[Free] The product of two consecutive multiples of 5 is 500. What are these numbers?

[Free] 4. For each function, write the rule in vertex form and find the coordinates of the maximum or minimum point on its graph. a) [tex]f(x) = x^2 + 12x + 11[/tex] b) [tex]g(x) = x^2 - 4x + 7[/tex] c) [tex]h(x) = x^2 - 18x + 74[/tex] d) [tex]j(s) = s^2 + 2s + 5[/tex] Use the results of task 4 to solve each of these equations. a) [tex]x^2 + 12x + 11 = 0[/tex] b) [tex]x^2 - 4x + 7 = 19[/tex] c) [tex]x^2 - 18x + 74 = 13[/tex] d) [tex]s^2 + 2s + 5 = 53[/tex]

[Free] Which is equivalent to [tex](2-5i)(-2+5i)[/tex]?

[Free] Find the volume of a cylinder with radius [tex]r = 3[/tex] and height [tex]h = 10[/tex].

[Free] Jose traveled to the town hall and back. The trip there took five hours, and the trip back took four hours. He averaged 35 km/h on the return trip. Find the average speed of the trip there.

[Free] Share £420 in the ratio 2:3.

[Free] Classify the system and determine the number of solutions. Check all that apply. \[ \begin{align} 7x + y &= 13 \\ 28x + 4y &= -12 \\ \end{align} \] A) Inconsistent B) Consistent C) Infinitely many solutions D) No solution