F is a trigonometric function of the form f(x)=a\cos(bx+c)+d Below is the graph of f(x). The function has a maximum point at (-4,2), and a minimum point at (-1,-3).

Find a formula for f(x). Give an exact expression.

f(x)=

The measurement of one angle of a right triangle is 42° what is the measurement of the third angle? (there is no picture)

Solve these problems: 1.what is the perimeter of an equilateral triangle with sides measuring 6cm? 2. a regular pentagon has sides measuring 3.2 cm. what is its perimeter? 3. a regular decagon has sides of 3.5mm . what is it’s perimeter? 4. a regular octagon has a perimeter of 64cm. what is the length of one of the sides? 5. a regular hexagon has a perimeter of 72mm . what is the length of one of the sides? 6. what is the perimeter of a rhombus with sides measuring 11m?

The population of a bacteria colony grows by a consistent percentage each hour and can be modeled by the function y = 500(1.16)t. what does the value 500 represent in the function?