Rosario is an ecologist who studies the change in the penguin population of Antarctica over time. The relationship between the elapsed time t, in years, since Rosario started studying the population, and
the number of penguins, P(t), is modeled by the following function:
4
e
P(t) = 21,000
.
7
Complete the following sentence about the rate of change in the penguin population.
3
The population of penguins loses of its size every
7
years.

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

i believe the answer is letter c) 8

step-by-step explanation:

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

a is 8.b is 10.c is 10.5. d is -.5

step-by-step explanation:

just minus the smallest number from the biggest.