3. what are population allele frequencies? why do evolutionary biologists examine allele frequencies (i. e., what can you detect by monitoring allele frequencies in populations)? what are genotype frequencies? what is the relationship between allele frequencies and genotype frequencies?

no. dot product   =0 when vecs at right angles

weight of the box is given as

here this is placed on the inclined of angle 42 degree

now this weight will have two components one is along the incline other is perpendicular to it

so here we need to apply a force parallel to incline opposite to its component of weight

so here the component of weight is given as

here we have

so it requires 75 n force to move it upwards

= initial pressure

= final pressure = 2

= initial volume

= final volume = /4

= initial temperature = 20 c = 20 + 273 = 293 k

= final temperature = ?

using the equation