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Questions in Grade High-school

📝 Answered - One factor of [tex]f(x)=4 x^3-4 x^2-16 x+16[/tex] is [tex](x-2)[/tex]. What are all the roots of the function? Use the Remainder Theorem. A. [tex]x=1, x=2[/tex], or [tex]x=4[/tex] B. [tex]x=-2, x=1[/tex], or [tex]x=2[/tex] C. [tex]x=2, x=4[/tex], or [tex]x=16[/tex] D. [tex]x=-16, x=2[/tex], or [tex]x=16[/tex]

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

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

📝 Answered - Select the correct answer. What is the $y$-intercept of function $f$ ? $f(x)=\left\{\begin{array}{ll} -3 x-2, & -\infty -x+1, & -2 \leq x<3 \\ 2 x+5, & 3 \leq x<\infty \end{array}\right.$ A. 5 B. -2 C. -1 D. 1

📝 Answered - Ram borrowed a sum of Rs. 50,000 at 10% p.a. for 2 years compound interest compounded annually. On the same day, he lent this money to Hari at the same rate for same time of compound interest half yearly and on the same day Hari lent this money to Jiban at the same rate for the same time of compound interest quarterly. a) Write the formula for finding quarterly compound interest. How much amount did Hari return to Ram? Who got more interest between Ram and Hari? Calculate and give a reason.

📝 Answered - Divide $6/13$ by $6/12$.

📝 Answered - The use of wells to obtain drinking water is a modern convenience. Please select the best answer from the choices provided. T F

📝 Answered - The magnitude, [tex]$M$[/tex], of an earthquake is defined to be [tex]$M=\log \frac{l}{S}$[/tex], where [tex]$l$[/tex] is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and [tex]$S$[/tex] is the intensity of a "standard" earthquake, which is barely detectable. What is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? Use a calculator. Round your answer to the nearest tenth.

📝 Answered - For the function [tex]f(x)=x^3[/tex] 1) [tex]f(x+\Delta x)=f\left(x^3+\Delta x^3\right)=[/tex] 2) [tex]\frac{f(x+\Delta x)-f(x)}{\Delta x}[/tex]

📝 Answered - What country joined with the Central Powers after World War I had begun? A. Egypt B. Italy C. Serbia D. Bulgaria