Answer all questions! 1. What’s the common ratio of the geometric sequence2,0.5,0.125,1/32? Write this geometric sequence as an explicit formula.
2. Vertically dilate the linear function z(x) = 4x−1by a factor of three. What’s the equation of the vertically dilated function?
3. Consider the linear functionsy(x) = 2x+ 8andg(x) =−2x+ 4. What are theiry-intercepts? Write these functions in factored form. What are theirx-intercepts?

Which explanation can be used to informally derive the formula for the volume of a cone? a cylinder is exactly 3 times bigger than a cone with the same height and radius. therefore, the formula for the volume of a cone is 13 of the volume of a cylinder with the same height and radius. a cone is similar to a triangular pyramid except that a cone has curved edges. therefore, the formula for the volume of a cone can be derived by using the formula of a triangular pyramid and using the radius instead of the base length. a cone is approximately the same size as 1.5 spheres. using the formula for the volume of a sphere and multiplying it by 1.5 will give the formula for the volume of a cone. a cone consists of a circle as a base and triangles for its body. the formula for the volume of a cone can be derived by adding the formula for the area of circle and the area of the number of triangles that will cover the body of a cone.

What is the arc length when θ =pi over 3 and the radius is 5 cm? (5 points) 5 pi over 3 cm 10 pi over 3 cm 16 pi over 3 cm pi over 3 cm

Adozen bananas weigh 3 pounds how many ounces does 1 banana weigh