During swim practice, an Olympic swimmer is required to complete three swimming intervals, in this order: warm-up freestyle, sprint freestyle, and cool-down breast stroke. After he completes each interval, he rests for three minutes. Sketch a graph that represents the swimmers’ interval times with respect to swimming speed. Assign the x- and y-axes with appropriate labels. You may use description words instead of numbers to label the graph.

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.

Which of the following answers is 7/9 simplified? 7/9 2/9 11/9 2/7

The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. use differentials to estimate the maximum possible error, relative error, and percentage error in computing the volume of the cube and the surface area of the cube. (round your answers to four decimal places.) (a) the volume of the cube maximum possible error cm3 relative error percentage error % (b) the surface area of the cube maximum possible error cm2 relative error percentage error %