find the length of the side of an equilateral triangle inscribed, if the angular point is at the vertex of the parabola y²=4ax

Why is it impossible for sounds to travel through a vacuum?

During May, Joliet Fabrics Corporation manufactured 500 units of a specail multilayer fabric with the trade name Stylex. The following information from the Stylex production department also pertains to May. Direct material purchased: 18,000 yards at $1.38 per yard……….$24,840 Direct material used: 9,500 yards at $1.38 per yard…………………$13,110 Direct labor: 2,100 hours at $9.15 per hour…………………………….$19,215 The standard prime costs for one unit of Stylex are as follows: Direct material: 20 yards at $1.35 per yard……………………………..$27 Direct labor: 4 hours at $9.00 per hour……………………………………36 Total standard prime cost per unit of output……………………………..$63 Required: Compute the following variances for the month of May, indicating whether each variance is favorable or unfavorable. 1. Direct-material price variance. 2. Direct-material quantity variance. 3. Direct-labor rate variance. 4. Direct-labor efficiency variance.

A 0.23 kg ball of dough is thrown straight up into the air with an initial velocity of 12 m/s.Find the momentum of the ball of dough halfway to its maximum height on the way up.