A population of beetles are growing according to a linear growth model. The initial population (week 0) is P0=9 and the population after 5 weeks is

P5=44

.

Find an explicit formula for the beetle population after

n weeks.

Pn=

After how many weeks will the beetle population reach 177?

P(n)=5n+9

Step-by-step explanation:

The initial population (week 0),

Population after 5 weeks,

Since the population is growing according to a linear growth model.

A linear model is of the form: y=mx+b where m is the slope and b is the y-intercept.

First, we determine the population growth per week which is our slope.

We then have:

y=5n+b

When Number of weeks, n=0, =y=9

Therefore: 9=5(0)+b

b=9

Therefore, our population after n weeks:

P(n)=5n+9

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

a triangular prism is a 3 dimensional shape composed of triangles and rectangles. it is made from two triangular bases and three rectangular sides.