1. By what factor did the medicine decrease in the first hour and a half? Explain how you know.

4/9

Step-by-step explanation:

At t = 0 ; volume = 270

At t = 1.5 ; volume = 80

y = P(1 - r)^t

y =ab^x (exponential)

a = initial amout at t = 0

y = final amount

t = 1.5

80 = 270b^t

80/270 = b^t

8/27 = b^1.5

8/27 = b^3/2

b^3/2*2/3 = (8/27)^2/3

Cube root of 8/27 = 2/3

Square of 2/3 = (2/3)^2 = 4/9

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere