Four students have to give a speech in class today. in how many different orders can they give their speeches?

6 times

Step-by-step explanation:

The letters are just an example of names

J a p r

J a r p  

J r p a

J r a p

J p a r

J p r a

There are 24 different orders in which they can give their speeches.

Step-by-step explanation:

Consider the provided information.

Four students have to give a speech in the class room.

Let their names are A, B, C and D.

For the first speech, we have 4 choices of the students. i.e. A, B, C, and D.

Suppose that "A" gives the first speech.

Now, for the second speech, we have 3 choices of the students. i.e. B, C, and D.

Suppose that "B" gives the second speech.

For the third speech, we have 2 choices of the students. i.e. C and D.

Suppose that "C" gives the third speech.

Now, for the fourth speech, we have only one choice. i.e. D.

If we observed the pattern we can find that, there were 4 choices at first, then there were 3 choices, then 2 and lastly 1.

Thus the total number of different orders are 4×3×2×1 = 24.

Hence, there are 24 different orders in which they can give their speeches.

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).