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In her Algebra II Class , Mrs. Pemdas writes the following statement on the board: " a varies inversely as the product of b^2 and c , and directly as d^3 . " She then asks her students to translate the statement into an equation . What of the following equations , with k as the constant of proportionality , is a correct translation of Mrs. Pemdas's statement ?

Translation || Past Indefinite Tense || UP Board Exam 2022

Translation || Present Indefinite Tense || UP Board Exam 2022

Express each of the following in the language of ratios: In a class, the number of girls in the merit list of the board examination is two times that of boys. The number of students passing mathematics test is 2/3 of the number that appeared.

A boy of mass 25 kg stands on a board of mass 10 kg which in turn is kept on a frictionless horizontal ice surface. The boy makes a jump with a velocity component 5m/s in a horizontal direction with respect to the ice. With what velocity does the board recoil? With what rate are the boy and the board seperate from each other?

Susan received grades of 78, 93, 82, and 76 on four math exams. What is the lowest score she can receive on her next math exam and have an average of at least 85 on the five exams?

Results on the Bar Exam of Law School Graduates The table above summarizes the results of 200 law school graduates who took the bar exam. If one of the surveyed graduates who passed the bar exam is chosen at random for an interview, what is the probability that the person chosen did ul("not") take the review course?

A boy of mass 25 kg stands on a board of maas 10 kg which in turn is kept on a frictionless horizontal ice surface. The boy maks a jump with a velocity component 5m/s in a horizontal direction with respect to the ice. With what velocity does the board recoil? with what rate are the boy and the board seperating from each other?

In Young's double slit experiment, the distance between slits and the screen is 1.0 m and monochromatic light of 600 nm is being used. A person standing near the slits is looking at the fringe pattern. When the separation between the slits is varied, the interference pattern disappears for a particular d_(0) between the slits. If the angular resolution of the eye is 1 °/60, the value of d_(0) is?

The means and standard devation of the marks of 200 candidates in half early exam were found to be 40 and 15 respectively. The marks of the candidates exceeds their marks by 10 in final exam. The mean and standard deviation of the marks in final exam are respectively ?