PLEASE HELP WILL MARK BRAINLIEST FOR A REAL ANSWER A circus acrobat is shot out of a cannon from a platform 25 feet high. The equation for the acrobat’s pathway can be modeled by:

h(t) = -16t² + 80t + 25.

a. Find the maximum height of the acrobat.

b. Write the equation that model’s the acrobat’s pathway in Vertex Form.

c. What is the rate of change on the interval 3 ≤ x ≤ 5.

Recall that the owner of a local health food store recently started a new ad campaign to attract more business and wants to know if average daily sales have increased. historically average daily sales were approximately $2,700. the upper bound of the 95% range of likely sample means for this one-sided test is approximately $2,843.44. if the owner took a random sample of forty-five days and found that daily average sales were now $2,984, what can she conclude at the 95% confidence level?

Events a and b are independent. the probability of a occurring is 2/5. the probability of b occurring is 1/4. what is p(a and b)?

Solve 2x − 1 = 11 for x using the change of base formula log base b of y equals log y over log b.