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Questions in Grade High-school

📝 Answered - What two countries were competing heavily with each other for naval superiority before World War I? A. Germany and the United Kingdom B. United Kingdom and France C. United States and Germany D. Russia and Germany

📝 Answered - Fill in the table to help you make a conjecture about the geometric sequence [tex]a_n=(0.5)^{n-1}[/tex] | n | [tex]a_n[/tex] | [tex]S_n[/tex] | |---|---|---| | 1 | 1 | 1 | | 2 | 0.5 | 1.5 | | 3 | 0.25 | x | | 4 | w | y | | 5 | 0.0625 | 1.9375 | [tex]w=[/tex]_____, [tex]x=[/tex]_____, [tex]y=[/tex]_____

📝 Answered - The graph of which function will have a maximum and a $y$-intercept of $4 ?$ A. $f(x)=4 x^2+6 x-1$ B. $f(x)=-4 x^2+8 x+5$ C. $f(x)=-x^2+2 x+4$ D. $f(x)=x^2+4 x-4

📝 Answered - Line graphs that indicate time along the x-axis can be used to predict what would happen to dependent variables in an experiment at a later point in time A. only if the existing line shows an upward trend. B. only if the existing line shows a downward trend. C. if a new variable was introduced to the experiment. D. if the experiment continued under the same conditions.

📝 Answered - A company plans to sell bicycle helmets for $26 each. The company's business manager estimates that the cost, y, of making x helmets is a quadratic function with a y-intercept of 8,400 and a vertex of (500, 15,900). x = number of helmets y = amount in dollars Which system models this situation? A. y = 26x and y = 8,400(x-500)^2 + 15,900 B. y = 26x and y = -0.030(x-500)^2 + 15,900 C. y = x/26 and y = -0.030(x-500)^2 + 15,900 D. y = x/26 and y = 8,400(x-500)^2 + 15,900 How many helmets must the company make and sell to break even?

📝 Answered - Select the correct answer. Jenny is tracking the monthly sales totals for her boutique. The given piecewise function represents the boutique's monthly sales, in dollars, where [tex]$x$[/tex] represents the number of months since Jenny began tracking the data. [tex]f(x)=\left\{\begin{array}{ll}4,000(1.1)^x, & 0 \leq x\ \textless \ 3 \\ 100 x+5,024, & 3 \leq x\ \textless \ 6 \\ -x^2+5 x+5,630, & 6\ \textless \ x \leq 8\end{array}\right.[/tex] What were the boutique's monthly sales when Jenny first began tracking the data? A. [tex]$4,400[/tex] B. [tex]$5,616[/tex] C. [tex]$5,324[/tex] D. [tex]$4,000[/tex]

📝 Answered - (iv) Find the percentage of [tex]$n _{ o }( A )$[/tex]. b) [tex]$U={x: x$[/tex] is a natural number, [tex]$x \leq 20}, A={y: y$[/tex] is a factor of 18[tex]$}, B={z: z$[/tex] is a multiple of [tex]$3, z \in U}$[/tex] and [tex]$C={w: w$[/tex] is a perfect square number, [tex]$w \in U}$[/tex]}. (i) What is the value of cardinality [tex]$n ( C )$[/tex]? (ii) How many elements are there in [tex]$A \cap C$[/tex]? (iii) Show the relation of the sets [tex]$U , A , B$[/tex] and C in a Venn-diagram and prove that [tex]$n ( A \cup B \cup C )= n ( A \cup B )+ n _{ o }( C )$[/tex]. (iv) Shilpa said that [tex]$n(A \cup B)+n_o(C)$[/tex] and [tex]$n_o(A \cup B)+n(C)$[/tex] are equal. Analyze her statement.

📝 Answered - What is the equation of the circle with center $(3.2,-2.1)$ and radius $4.3$? A. $(x-3.2)^2+(y+2.1)^2=(4.3)^2$ B. $(x+3.2)^2+(y-2.1)^2=4.3$ C. $(x-2.1)^2-(y+3.2)^2=(4.3)^2$ D. $(x+2.1)^2+(y-3.2)^2=8.6

📝 Answered - The table represents a linear equation. | x | y | | --- | --- | | -10 | 8 | | -5 | 7 | | 10 | 4 | | 15 | 3 | What is the equation of this line in point-slope form? A. [tex]$y-8=-0.15(x-10)$[/tex] B. [tex]$y+8=-0.15(x-10)$[/tex] C. [tex]$y-8=-0.2(x+10)$[/tex] D. [tex]$y+8=-0.2(x-10)$[/tex]

📝 Answered - Which of the following was not a cause of World War I? Militarism Alliances Diplomacy Imperialism