All categories

4 years ago

43. In how many distinct orders can 5 students stand in line to buy yearbooks?

Mathematics

2 answers:

White raven [17]4 years ago

4 0

Answer: 120

Step-by-step explanation: to get this answer you do 5! (5 factorial), which means you multiply that number by all those which are lower down to one, or 5x4x3x2x1 in this case, which is 120

Alisiya [41]4 years ago

4 0

Answer: 240

Step-by-step explanation: 5 x 4 x 3 x 2 x1 = 240

You might be interested in

Tommy bought one dozen donuts. He gave one-sixth of the donuts to his wife. He then gave one-fifth of the remaining donuts to hi

statuscvo [17]

Answer:

Step-by-step explanation:

1/6 of 12 is 2

12 - 2 = 10

1/5 of 10 is also 2

10 - 2 = 8

Tommy took 8 donuts to work.

6 0

3 years ago

Verify that (cos²a) (2 + tan² a) = 2 - sin² a....<br>

Sveta_85 [38]

Trigonometric Formula's:

$\boxed{\sf \ \sf \sin^2 \theta + \cos^2 \theta = 1}$

$\boxed{ \sf tan\theta = \frac{sin\theta}{cos\theta} }$

Given to verify the following:

$\bf (cos^2a) (2 + tan^2 a) = 2 - sin^2 a$

$\texttt{\underline{rewrite the equation}:}$

$\rightarrow \sf (cos^2a) (2 + \dfrac{sin^2 a}{cos^2 a} )$

$\texttt{\underline{apply distributive method}:}$

$\rightarrow \sf 2 (cos^2a) + (\dfrac{sin^2 a}{cos^2 a} ) (cos^2a)$

$\texttt{\underline{simplify the following}:}$

$\rightarrow \sf 2cos^2 a + sin^2 a$

$\texttt{\underline{rewrite the equation}:}$

$\rightarrow \sf 2(1 - sin^2a ) + sin^2 a$

$\texttt{\underline{distribute inside the parenthesis}:}$

$\rightarrow \sf 2 - 2sin^2a + sin^2 a$

$\texttt{\underline{simplify the following}} :$

$\rightarrow \sf 2 - sin^2a$

Hence, verified the trigonometric identity.

7 0

2 years ago

Read 2 more answers

Please help me out please!

Alex777 [14]

Answer:

-1.86

Step-by-step explanation:

1.86 is half of 3.72, and when you divide a negative with a positive, you get a negative.

3 0

3 years ago

Read 2 more answers

one morning, the temperature was 5 degrees below zero (F). By noon the temperature rose 20 degrees F and then dropped 8 degrees

Vanyuwa [196]

Answer:

7 degrees

Step-by-step explanation:

The temperature starts at -5. It rises 20 degrees so that means it is now 15 degrees. It decreased 8 degrees so now it is 7 degrees.

The main thing you are doing is adding and subtracting

6 0

3 years ago

Determine the equation of the circle graphed below .

Volgvan

Answer:

(x+1)^2 + (y-7)^2 = 2^2

Step-by-step explanation:

The center of the circle is at (-1,7) and the radius from the center to the edge is 2, so the equation should look like (x-h)^2 + (y-k)^2 = r^2

You would flip the signs of the center so that when you solve the equation it ends up in the correct place.

3 0

3 years ago