Factor, if possible.-36m2n2 + 21m2n3 - 3m2n4

A. -3m2n2 (n - 4)(n - 3)
B. -3(m2 - 4)(n4 - 3)
C. 3m2n2 (n + 4)(n + 3)
D. 3mn(n2 - 4)(m2 - 3)


Answer: A

Mathematics

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Solve the problem.A moving firm charges a flat fee of $45 plus $40 per hour. Let y be the cost in dollars of using the moving firm for x hours. Find the slope-intercept form of the equation.

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Mathematics

Select the correct graph of the following equations of the hyperbola and find the center of the hyperbola.


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Mathematics

Suppose that people's heights (in centimeters) are normally distributed, with a mean of 170 and a standard deviation of 5. We find the heights of 50 people. How many would you expect to be between 160 and 170 cm? Round your answer to the nearest number.

Standard Normal Distribution; z-scores  z      0.00      0.01     0.02      0.03     0.04      0.05     0.06      0.07     0.08      0.090.0    0.0000  0.0040  0.0080  0.0120  0.0160  0.0199  0.0239  0.0279  0.0319  0.03590.1    0.0398  0.0438  0.0478  0.0517  0.0557  0.0596  0.0636  0.0675  0.0714  0.07530.2    0.0793  0.0832  0.0871  0.0910  0.0948  0.0987  0.1026  0.1064  0.1103  0.11410.3    0.1179  0.1217  0.1255  0.1293  0.1331  0.1368  0.1406  0.1443  0.1480  0.15170.4    0.1554  0.1591  0.1628  0.1664  0.1700  0.1736  0.1772  0.1808  0.1844  0.18790.5    0.1915  0.1950  0.1985  0.2019  0.2054  0.2088  0.2123  0.2157  0.2190  0.22240.6    0.2257  0.2291  0.2324  0.2357  0.2389  0.2422  0.2454  0.2486  0.2517  0.25490.7    0.2580  0.2611  0.2642  0.2673  0.2704  0.2734  0.2764  0.2794  0.2823  0.28520.8    0.2881  0.2910  0.2939  0.2967  0.2995  0.3023  0.3051  0.3078  0.3106  0.31330.9    0.3159  0.3186  0.3212  0.3238  0.3264  0.3289  0.3315  0.3340  0.3365  0.33891.0    0.3413  0.3438  0.3461  0.3485  0.3508  0.3531  0.3554  0.3577  0.3599  0.36211.1    0.3643  0.3665  0.3686  0.3708  0.3729  0.3749  0.3770  0.3790  0.3810  0.38301.2    0.3849  0.3869  0.3888  0.3907  0.3925  0.3944  0.3962  0.3980  0.3997  0.40151.3    0.4032  0.4049  0.4066  0.4082  0.4099  0.4115  0.4131  0.4147  0.4162  0.41771.4    0.4192  0.4207  0.4222  0.4236  0.4251  0.4265  0.4279  0.4292  0.4306  0.43191.5    0.4332  0.4345  0.4357  0.4370  0.4382  0.4394  0.4406  0.4418  0.4429  0.44411.6    0.4452  0.4463  0.4474  0.4484  0.4495  0.4505  0.4515  0.4525  0.4535  0.45451.7    0.4554  0.4564  0.4573  0.4582  0.4591  0.4599  0.4608  0.4616  0.4625  0.46331.8    0.4641  0.4649  0.4656  0.4664  0.4671  0.4678  0.4686  0.4692  0.4699  0.47061.9    0.4713  0.4719  0.4726  0.4732  0.4738  0.4744  0.4750  0.4756  0.4761  0.47672.0    0.4772  0.4778  0.4783  0.4788  0.4793  0.4798  0.4803  0.4808  0.4812  0.48173.0    0.4987  0.4987  0.4987  0.4988  0.4988  0.4989  0.4989  0.4989  0.4990  0.4990? __________ people Fill in the blank(s) with the appropriate word(s).

Mathematics

Convert the angle to decimal degrees and round to the nearest hundredth of a degree.43°38'

A. 43.63° B. 43.76° C. 43.38° D. 44.63°

Mathematics