A zoologist tracks the population of a species of butterfly at the zoo over several years. From the table of values a) determine an equation P(t) that models the butterfly's population growth. Round answers to one decimal place. Use brackets to distinguish multiplication. Use ^ for exponents. b) determine the number of years (approximate) before the population is 5 times greater than the original number. 1 3 4 Year (t) Population P(t) 22 37 48 63 29

Q: 1/3y-9=1/10y

A: Here given as 13y-9=110y Here y is not equal to 0 and 3.

Q: If a rock falls from a height of 3535 meters on​ Earth, the height H​ (in meters) after x seconds is…

A: The problem is asking us to find the height of the rock after x seconds. The height is given by the…

Q: 10x+2/5x+4=1/2

A: Given function is

Q: Solve for x. 3 6.

A: x = 4

Q: State as many laws of exponents as you can recall.

A: Laws of exponents are mentioned here as follows: am.an=am+naman=am-n1an=a-n…

Q: 22 V2 V3

A:

Q: Find the least common denominator 1/2 and 3/4?

A: Introduction: The common multiple of an integer are the set of all those numbers divisible by that…

Q: Simplify. (x+ 9)^2

A: (x+9)^2 means two (x+9) multiplies together.

Q: i-9 what does the =?

A:

Q: log, 8 + log, 5 = log,

A:

Q: Calculate the first and second difference, than determine if the relationship is linea quadratic,…

A: Three important types of equations : Linear equations in slope-intercept form: y=mx+b Exponential…

Q: 3 X 15

A: We have a property when two chords intersect each other.

Q: 98コ4×十16 X-24X

A:

Q: log,+ log, 5 = log, 15 %3D 7. 7.

A: Given: log7□+log7 5=log7 15 To find: □

Q: log,9 9+ log, 2. = log, 99

A:

Q: 8x 6x

A:

Q: E-(41-x2)

A:

Q: Fully simplify. (2/-2)(5V3)

A: We know that, √(-1) is defined as i  So, 2√(-2) = (2√2)(√-1) = (2√2)i  So, (2√-2)(5√3) = (2√2)i…

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.