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olga_2 [115]
2 years ago
7

Kevin will be taking six classes next semester (Algebra, World History, Psychology, Political Science, Chemistry, and Art Theory

) and would like to know how many different ways he can order his class schedule given that his university offers six time slots for classes each day. Assuming there are no constraints and each class can be taken in any time slot, how many different ways can Kevin order his classes?
Mathematics
1 answer:
earnstyle [38]2 years ago
6 0
<h3>Answer:  720</h3>

=========================================================

Explanation:

We have 6 slots to fill A,B,C,D,E,F

There are 6 choices for choice A, then 5 choices for slot B, 4 for C, and so on until we reach one choice for slot F. Count down by 1 each time a slot is filled.

Multiply out those values to get: 6*5*4*3*2*1 = 720

For more information, check out the concept of factorials.

---------

Another approach is to use the nPr permutation formula which is

_nP_r = \frac{n!}{(n-r)!}

where in this case n = 6 and r = 6.

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Again help, i don’t understand this at all
Semenov [28]

Answer:

<em>The difference quotient of f is 8. </em><em>Option C</em>

Explanation:

<u>Difference Quotient</u>

Given a function f(x), the difference quotient is defined as

\displaystyle d=\frac{f(h+h)-f(x)}{h},\ h\neq 0

The function provided in the question is

f(x)=8x+1

Find f(x+h) by substituting x by x+h:

f(x+h)=8(x+h)+1

f(x+h)=8x+8h+1

Now compute:

\displaystyle d=\frac{8x+8h+1-(8x+1)}{h}

Operating:

\displaystyle d=\frac{8x+8h+1-8x-1}{h}

Simplifying:

\displaystyle d=\frac{8h}{h}

d=8

A.  Incorrect.

This choice is different from the answer.

B. Incorrect.

This choice is different from the answer.

C. Is correct

The difference quotient is 8 as explained above.

D. Incorrect.

This choice is different from the answer.

4 0
3 years ago
Timothy's dog house is shaped like a tent. The slanted sides are both 3 feet
Verdich [7]

Answer:

do ur work and find out ur swlf u lazy

Step-by-step explanation:

no needs

7 0
3 years ago
Helppppppppppppppppppppppppppppp Fasttttt
sertanlavr [38]
What you have to do is multiply each of the sides so you have 80, 60, and 48.

Add those up to get 188. Then multiply this by 2 and you get 376.

Your answer is D. (376)

P.S if this helped you out, please give me brainliest if you don't mind. I am only a few more from leveling up :D
5 0
4 years ago
Write each ratio as a rate.
Setler [38]

Answer:

a. 62 miles/hour

b. 1.25 laps/minute

Step-by-step explanation:

a. ratio of miles to the number of hours is 434 to 7 can also be written as

\frac{434}{7}= 62 miles/hour

therefore rate or speed= 62 miles/hour

b. \frac{number\ of \ laps}{number\ of \ minutes} = \frac{5}{4}

= 1.25 laps/minute which rate or speed

7 0
3 years ago
Find the value of x and y so that both proportions will be correct:
SOVA2 [1]

Note that a:b = c:d is the same as a/b = c/d

y:1.5=0.2:0.75 same as y/1.5 = 0.2/0.75

y = 0.4

x: 1 2/3=y:3 1/3 same as x/1 2/3 = y / 3 1/3

x = y/2 = 0.2


3 0
3 years ago
Read 2 more answers
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