Ascientist observes the population of two animals in the lake. the number of animal a, a(t), is increasing over time. the number of animal b, b(t), is decreasing over time. drag each statement to show whether it is true, not true, or if it cannot be determined from the given information.

the number of animal a is increasing at a faster rate than the number of animal b is decreasing.

there is always more of animal a than animal b in the lake at any point in time.

the total number of animals is always the same over time.

Step-by-step explanation:

The animals in the lake are grouped as Animal A and animal B, from the question it is observed that Animal A continues to increases over a given time and Animal B  continues decreasing over the same given time

The rate at which each Animal is either decreasing or increasing over the same time period of (t) was not given so statement one(1) cannot be determined due to lack of complete information.

there will always be more Animal A than Animal B as long as Animal keep increasing and Animal B keep decreasing over time.

the total number of animals in the lake cannot be the same overtime because there is a decrease and increase in number of the animals over time.  

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

how is that middle school

step-by-step explanation: