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# What is the radius of curvature of a concave mirror that magnifies an object by a factor of -3.2 when the object is placed 20 cm from the mirror?

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In this problem, we have a concave mirror, and we need to find the radius of the mirror. We are going to use three equations, the mirror equation $\frac{1}{f} = \frac{1}{d_{o}}+ \frac{1}{d_{i}}$ where $f$ is the focal length of mirror, $d_{o}$ is the position of our object, and $d_{i}$ is the position of image. Also, we are going to use the magnification equation to find the image height $M= -\frac{d_{i}}{d_{o}}= \frac{h_{i}}{h_{o}}$ Furthermore, we are going to find the radius from the equation $r=2f$

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