It takes your garden hose 20 seconds to fill your 2-gallon watering can. How long will it take to fill

Response:

D. The sidelines are parallel because they are perpendicular to a common line.

Justification:

According to the perpendicular transversal theorem, when a line is perpendicular to one of two parallel lines, it is also perpendicular to the other line. Furthermore, the converse of the theorem states that if two lines are perpendicular to the same line, they must be parallel. Therefore, the sidelines are indeed parallel and also perpendicular to this single line.

0.6%. Dividing 100% by 2,500 individuals indicates that each individual accounts for 0.04%. Multiplying 0.04 by 15 equals 0.6

The conversion between these units is 1 km/hr = 0.62 m/hr

The provided equation is a differential equation that allows for variable separation. You should group similar terms, integrate, use the correct limits, and present V as a function of t. This is achieved in the following manner: dV/dt = -3(V)^1/2, which rearranges to dV/-3V^1/2 = dt. Initially, when V equals 225, after integration, we arrive at -2/3(√V - √225) = t, which can be further detailed as -2/3(√V - 15) = t. This represents the function for V at a specific time t. I trust this information is helpful, have a pleasant day.

Answer: The correct choice is (C) A = {1, 2, 3, 4, 5, 7, 8}.

Step-by-step explanation: We have eight identical slips of paper, each numbered from one to eight, which have been mixed inside a bag.

The sample space, S is as follows:

S = {1, 2, 3, 4, 5, 6, 7, 8}.

Subset A consists of the complement of the event where the number 6 is drawn.

Let 'B' denote the event of drawing the number 6.

Thus, B = {6}.

Since 'A' represents the complement of 'B', it will include all elements in the sample space 'S' that are not part of set 'B'.

Therefore,

A = B' = {1, 2, 3, 4, 5, 7, 8}

So, A = {1, 2, 3, 4, 5, 7, 8}.

Consequently, (C) is the correct choice.