If the diameter of a hole is 4.500 mm, what should be the diameter of a rivet at 23.0 ∘c, if its diameter is to equal that of the hole when the rivet is cooled to - 78.0 ∘c, the temperature of dry ice? assume that the expansion coefficient of aluminum is 2.4×10−5(∘c)−1 and remains constant.

Explanation:

diameter at 23 degree celcius is 4.511 mm

GIVEN DATA:

diameter of hole  = 4.500 mm

T_1 = 23.0 Degree celcius

T_2 = - 78.0 Degree celcius

expansion coeffcient of Al = 2.4*10^{-5} (degree celcius)^{-1}

diameter at 23 degree celcius is given as

   = 4.511 mm

diameter of rivet after change in temperature is given as

= 0.4511 cm

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.

multiple allele inheritance is traits controlled by more than 2 alleles (ex: pigeons having 3 alleles of one gene govern their feather color).