Abox is to be constructed with a rectangular base and a height of 5 cm. if the rectangular base must have a perimeter of 28 cm, which quadratic equation best models the volume of the box? v = lwh p = 2(l + w) y = 5(28 – x)(x) y = 5(28 – 2x)(x) y = 5(14 – x)(x) y = 5(14 – 2x)(x)

Im literally having a mental breakdown

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.

Aculture started with 2,000 bacteria. after 8 hours, it grew to 2,400 bacteria. predict how many bacteria will be present after 19 hours . round your answer to the nearest whole number. p=ae^kt