Astudent is attempting to solve the equation below for the variable x. which of the statements below best applies to the
mathematical work shown?
given
4-6 = 12, 1 square both sides, so
w41 - 6 = 12', or 4x - 6 = 144. i can then solve for x, yielding x = 37
as
my final answer
a. the student did not correctly square both sides of the equation.
b. the student did not properly isolate the variable after squaring both sides of the equation.
c. the student omitted a negative solution to the equation.
d. the mathematical work is correct.

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.

Let x = a + bi and y = c + di and z = f + gi. which statements are true?