Jake forgot to replace the cap on a bottle of cologne. The cologne began to evaporate at the rate of 18% per day. If the original amount of cologne in the bottle was 50 grams, which of the following graphs best represents the amount of cologne f(x) remaining in the bottle after x days?

graph of exponential function going down from left to right in quadrant 1 through the point 0, 30 and approaching the x axis
graph of exponential function going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis
graph of function f of x equals 50 multiplied by 0.82 to the power of x
graph of exponential function going down from left to right in quadrant 1 through the point 0, 4 and approaching the x axis

in the 1800s, locomotives powered by steam made transportation faster and cheaper. the resulting rapid growth of railroads led to the connection of the atlantic and pacific railroad in oklahoma city in 1897.

in the last years of the century, the improvement of steam-based engines the expansion and growth of railroads. this growth increased when the companies started to build and expand, such as the atlantic and pacific railroad, which connected new mexico with california, and missouri with oklahoma. many of these new networks were built in oklahoma, and these changes transportation henceforward.

big fat oof x

"a shortage of traditional labor created new opportunities in the workplace. a major cause of the internment of japanese americans during world war ii was. racial prejudice. in the early 1940's, the "destroyers-for-military-bases deal" with great britain and the lend-lease act were evidence that the united states."

separation of powers, therefore, refers to the division of government responsibilities into distinct branches to limit any one branch from exercising the core functions of another.   the intent is to prevent the concentration of power and provide for checks and balances.  

the traditional characterizations of the powers of the branches of american government are:

* the legislative branch is responsible for enacting the laws of the state and appropriating the money necessary to operate the government.

* the executive branch is responsible for implementing and administering the public policy enacted and funded by the legislative branch.

* the judicial branch is responsible for interpreting the constitution and laws and applying their interpretations to controversies brought before it.

forty state constitutions specify that government be divided into three branches:   legislative, executive and judicial.   california illustrates this approach; "the powers of state government are legislative, executive, and judicial.   persons charged with the exercise of one power may not exercise either of the others except as permitted by this constitution."

while separation of powers is key to the workings of american government, no democratic system exists with an absolute separation of powers or an absolute lack of separation of powers. governmental powers and responsibilities intentionally overlap; they are too complex and interrelated to be neatly compartmentalized. as a result, there is an inherent measure of competition and conflict

minnesota:   minnesota house research,   separation of powers: when statutes and court rules conflict, 2005