Find the function value.Find f(1) when f(x) = -2x - 7.

A. 6
B. 14
C. -7
D. -9


Answer: D

Mathematics

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Solve the problem.A model that describes the free fall of an object in a gravitational field subject to air resistance uses the equation  where v(t) is the velocity of the object, for   is the acceleration due to gravity, and  is a constant that involve the mass of the object and the air resistance. Let 

src="https://sciemce.com/media/4/ppg__wesa0610191635__f1q76g5.jpg" alt="" style="vertical-align: -4.0px;" /> For what initial values  are solutions increasing? decreasing? What is the equilibrium solution?

A. increasing for A < 19.6 and decreasing for A > 19.6; v(t) = 19.6
B. increasing for A > 19.6 and decreasing for A < 19.6; v(t) = 0
C. increasing for A < 19.6 and decreasing for A > 19.6; v(t) = 0
D. increasing for A > 19.6 and decreasing for A < 19.6; v(t) = 19.6

Mathematics

The perimeter of a plane figure is the total distance around the figure. Find the perimeter of the figure.

A.  miles
B. 7 miles
C.  miles
D.  miles

Mathematics

A line has the given slope m and passes through the first point listed in the table. Complete the table so that each point in the table lies on the line.m = 

A.
B.
C.
D.

Mathematics

Solve the problem.A summer camp consists of several lodges, dining rooms and bath houses, represented by the vertices on the graph below. These buildings are linked by gravel pathways whose lengths in yards are also indicated on the graph. The gravel paths become very muddy when it rains, so the camp owners wish to pave certain paths so that it is possible to walk between any two buildings without having to walk on a gravel path. Use Kruskal's algorithm to determine which paths should be covered in order to minimize the total length of paved paths. Also, determine the minimum total length of pathways that must be paved.

What will be an ideal response?

Mathematics