Dr. Silas studies a culture of bacteria under a microscope. The function b_1 (t)=500〖(1.6)〗^t represents the number of bacteria t hours after Dr. Silas begins her study. Is this an exponential growth or decay? Explain how you know.
What does the value 500 represent in this situation?
The number of bacteria in a second study is modeled by the function b_2 (t)=800〖(1.6)〗^t.
What is the growth rate, r, for this equation?
What does the difference of 500 and 800 mean between the two studies

Which facts are true for the graph of the function below? check all that apply. f(x) = log8 x. (30 points pls )

Find the gradient of f(x, y,z)equals=left parenthesis x squared plus y squared plus z squared right parenthesis superscript negative 1 divided by 2 baseline plus ln left parenthesis x right parenthesis x2+y2+z2−1/2+ln(xyz) at the point left parenthesis negative 2 comma 1 comma negative 2 right parenthesis(−2,1,−2).

Jessica and martha each have a bag of cookies with unequal quantities. they have 30 cookies total between the two of them. each of them ate 6 cookies from their bag. the product of the number of cookies left in each bag is not more than 80. how many more cookies will jessica have martha? if x represents the number of cookies jessica started with, complete the statements below. the inequality that describes the relationship between the number of cookies each one of them has is x^2 - x +224 > = 0.jessica has at least cookies more than martha.