Solve the equations and inequalities. Write the solution sets to the inequalities in interval notation. 9^{2m-3}=27^{m+1}

Solve the equation
${\displaystyle 4x^4+3x^2-1=0}$

Solve the equations and inequalities: ${\displaystyle 2x<30}$

A number divided by -8 is 7.

solve each problem by setting up and solving an appropriate system of equations. In a class of 50 students, the number of females is two more than five times the number of males. How many females are there in the class?

h is related to one of the parent functions described in this chapter. Describe the sequence of transformations from f to h. h(x) = (x - 2)^3 + 2

A bird species in danger of extinction has a population that is decreasing exponentially
$A=A_0{e}^{kt}$.
Five years ago the population was at 1400 and today only 1000 of the birds are alive. Once the population drops below 100, the situation will be irreversible. When will this happen?

${\displaystyle d\frac{P}{dt}=kP(1-\frac{P}{M})(1-\frac{m}{P}))}$
$\frac{dP}{dt}=kP(1-\frac{P}{M})(1-\frac{m}{P})$

Solve this differential equation using separation of variables. Only separate the equations and integration (not solving for P)
M= carrying capacity (maximum value)
m= threshold value (minimum value)
k= the proportionality constant