The logistic equation has been used to model the spread of technology. let n∗ be the number of ranchers in uruguay, and n(t) the number who have adopted a new pasture technology. the rate of adoption dn/dt is proportional to the number who have adopted the technology, and the fraction who have not (and thus are susceptible to changing). so the equation is dn dt = αn 1 − n n∗ according to a study by banks (1993), n∗ = 17, 015, n(0) = 141, α = 0.49 per year. determine how long it takes for the new technology to be adopted by 80% of the population of ranchers.

Jenisey has $24 to spend on seven pencils. after buying them she had $10. how much did each pencil cost.?

Consider the triangle. which shows the order of the angles from smallest to largest? angle a, angle b, angle c angle b, angle a, angle c angle b, angle c, angle a angle c, angle a, angle b

(01.02 mc) asap plzzzwhich of the following correctly simplifies the expression 3 to the power of 2 multiplied by 5 to the power of 0 whole over 4, the whole squared.? select one: a. 3 to the power of 2 multiplied by 1 whole over 4, the whole squared. = 3 to the power of 1 multiplied by 1 squared over 4 squared. = 1 over 6.b. 3 to the power of 2 multiplied by 0 whole over 4, the whole squared. = 3 to the power of 4 multiplied by 0 over 4 squared. = 0c. 3 to the power of 2 multiplied by 0 whole over 4, the whole squared. = 3 to the power of 1 multiplied by 0 over 4 squared. = 0d. 3 to the power of 2 multiplied by 1 whole over 4, the whole squared. = 3 to the power of 4 multiplied by 1 squared over 4 squared. = 81 over 16.