Find the absolute value of the complex number.z = 4 + 7i

A. 65
B.
C. 11
D.


Answer: D

Mathematics

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Graph the function using a solid line and its inverse using a dashed line on the same set of axes.f(x) = x3 + 5

A.

B.

C.

D.

Mathematics

Find the equation of the line that seems to best fit the data. Use the model to estimate the elongation of the spring when a force of 70 kilograms is applied. Round your answer to one decimal place.

Hooke’s Law states that the force F required to compress or stretch a spring
(within its elastic limits) is proportional to the distance d that the spring is compressed or
stretched from its original length. That is, where k is the measure of the stiffness of
the spring and is called the spring constant. The table below shows the elongation d in
centimeters of a spring when a force of F kilograms is applied.


A) 2.3 centimeters
B) 4.6 centimeters
C) 6.9 centimeters
D) 9.2 centimeters
E) 3.5 centimeters

Mathematics

Use algebraic and/or graphical methods to solve the inequality.7x5 < 70x3

A. x < - or x > 
B. x < - or 0 < x < 
C. - < x < 
D. -10 < x < 0 or 0 < x < 10

Mathematics

Which method should be used to solve the system? Explain your answer, including a description of the first step.x2 - y2 = 9-2x - y = 6

What will be an ideal response?

Mathematics