Use the integral test to determine whether the infinite series is convergent. ∑n=1∞n−13 fill in the corresponding integrand and the value of the improper integral. enter inf for ∞, -inf for −∞, and dne if the limit does not exist. compare with ∫∞1 dx = by the integral test, the infinite series ∑n=1∞n−13 a. converges b. diverges

80 points suppose marcy made 45 posts online. if 23 of them contained an image, what percent of her posts had images? round your answer to the nearest whole percent. 54 percent 51 percent 49 percent 48 percent

Which is the graph of this function 3 square root of x plus one if

A3cm×3cm\greend{3\,\text{cm} \times 3\,\text{cm}} 3cm×3cm start color greend, 3, space, c, m, times, 3, space, c, m, end color greend rectangle sits inside a circle with radius of 4cm\blued{4\,\text{cm}} 4cm start color blued, 4, space, c, m, end color blued . what is the area of the shaded region? round your final answer to the nearest hundredth.