Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise.Assume that the volume of the earth is 5 × 1014 cubic meters and the volume of a bacterium is 2.5 × 10-16 cubic meters. If the earth could be filled with bacteria, how many would it contain?

A. 5.0 × 1031 bacteria
B. 2.0 × 10-30 bacteria
C. 5.0 × 10-31 bacteria
D. 2.0 × 1030 bacteria


Answer: D

Mathematics

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Describe the given set of points with a single equation or with a pair of equations.The circle of radius 1 centered at the point (2, -2, 9) and lying in a plane perpendicular to the 

A. (y + 2)2 + (z - 9)2 = 1 and y + z = 7
B. (y + 2)2 + (z - 9)2 = 1 and x = 2
C.  22+ 1 = 1
D.  2 2 = 1 and x = 2

Mathematics

Solve the problem. Assume all data are accurate to two significant digits unless greater accuracy is given.Two cities are 81.4km apart. Vehicle A leaves one city at the same time vehicle B leaves the other. Find the speed of vehicle A if it travels 6.5 km/h faster than vehicle B and if they pass in 14.7 minutes.

A. 6.0 km/h B. 169.4 km/h C. 166.3 km/h D. 162.9 km/h

Mathematics

Find the perimeter of the polygon described. Write any improper fractions as mixed numbers.An equilateral triangle; one side is 9 yd long.

A. P = 26 yd B. P = 40.5 yd C. P = 18 yd D. P = 27 yd

Mathematics

The ? shape in the figure below is shown using 9 pixels in a 3 × 3 grid. The color levels are given to the right of the figure. Use the matrix  that represents a digital photograph of the ? shape to solve the problem.Adjust the contrast by changing the black to white and the light grey to dark grey. Use matrix addition to accomplish this.

A.
 +  = 
B.
 +  = 
C.
 +  = 
D.
 +  = 

Mathematics