A population of beetles are growing according to a linear growth model. The initial population (week 0) is P 0 = 9 P0=9, and the population after 7 weeks is P 7 = 65 P7=65. Find an explicit formula for the beetle population after n n weeks.

Step-by-step explanation:

given that a population of beetles are growing according to a linear growth model.

i.e. P and n are linearly related where P represents the population at time n in weeks.

P(0) = 9 and P(7) = 65

i.e. (0,9) and (7,65) lie on the line of population.

Using two point formula we can find the equation of straight line connecting P and n as

substitute the given points for (x1,y1) and (x2,y2)

Thus

is the linear equation for the beetle population after n weeks.

so then what are you asking?

step-by-step explanation:

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh