WEATHER Starting at 1:00 P.M., the temperature changes

Imagine you are four years old. A rich aunt wants to provide for your future. She has

Vedmedyk [2.9K]

Easily option #1. Time is money in this world. first option benefits you short term and long term. There would be no reason as why you’d want option #2

3 0

3 years ago

Please please help me

Studentka2010 [4]

Answer:

?=38

average rate of change =3 (on the way they partitioned the x's)

Step-by-step explanation:

This is a line because it has the same rise/run ( $\frac{y_2-y_1}{x_2-x_1}$ ) per pair of points.

That is, the following are equal:

$\frac{17-5}{2-(-2)}=\frac{26-17}{5-2}$

$\frac{12}{4}=\frac{9}{3}$

$3=3$

The slope (also called the rate of change) is 3.

This means the calculating of the last pair of points should have the same rise/run.

That is we should have:

$\frac{?-26}{9-5}=3$

$\frac{?-26}{4}=3$

Multiply both sides by 4:

$?-26=12$

Add 26 on both sides:

$?=12+26$

$?=38$

5 0

4 years ago

7) PG & E have 12 linemen working Tuesdays in Placer County. They work in groups of 8. How many

BabaBlast [244]

Part A

Since order matters, we use the nPr permutation formula

We use n = 12 and r = 8

$_{n}P_{r} = \frac{n!}{(n-r)!}\\\\_{12}P_{8} = \frac{12!}{(12-8)!}\\\\_{12}P_{8} = \frac{12!}{4!}\\\\_{12}P_{8} = \frac{12*11*10*9*8*7*6*5*4*3*2*1}{4*3*2*1}\\\\_{12}P_{8} = \frac{479,001,600}{24}\\\\_{12}P_{8} = 19,958,400\\\\$

There are a little under 20 million different permutations.

<h3>Answer: 19,958,400</h3>

Side note: your teacher may not want you to type in the commas

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

Part B

In this case, order doesn't matter. We could use the nCr combination formula like so.

$_{n}C_{r} = \frac{n!}{r!(n-r)!}\\\\_{12}C_{8} = \frac{12!}{8!(12-8)!}\\\\_{12}C_{8} = \frac{12!}{4!}\\\\_{12}C_{8} = \frac{12*11*10*9*8!}{8!*4!}\\\\_{12}C_{8} = \frac{12*11*10*9}{4!} \ \text{ ... pair of 8! terms cancel}\\\\_{12}C_{8} = \frac{12*11*10*9}{4*3*2*1}\\\\_{12}C_{8} = \frac{11880}{24}\\\\_{12}C_{8} = 495\\\\$

We have a much smaller number compared to last time because order isn't important. Consider a group of 3 people {A,B,C} and this group is identical to {C,B,A}. This idea applies to groups of any number.

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Another way we can compute the answer is to use the result from part A.

Recall that:

nCr = (nPr)/(r!)

If we know the permutation value, we simply divide by r! to get the combination value. In this case, we divide by r! = 8! = 8*7*6*5*4*3*2*1 = 40,320

So,

$_{n}C_{r} = \frac{_{n}P_{r}}{r!}\\\\_{12}C_{8} = \frac{_{12}P_{8}}{8!}\\\\_{12}C_{8} = \frac{19,958,400}{40,320}\\\\_{12}C_{8} = 495\\\\$

Not only is this shortcut fairly handy, but it's also interesting to see how the concepts of combinations and permutations connect to one another.

-----------------

<h3>Answer: 495</h3>

5 0

3 years ago

What is the slope of the function and what is it’s interpretation in the context of the problem

Romashka [77]

Answer:

3.5 is the slope and it is the rate of change.

Step-by-step explanation:

the slope is the number with the variable because you use the formula

y = mx + b

the slope is the rate of change.

3 0

3 years ago

Read 2 more answers

The cheese club members bought 6 tickets to a tournament for $15 how much would they have paid if all 9 members wanted to go

bagirrra123 [75]

First you have to find out the cost of the ticket. To do so you have to Divide 15 and 6. Which equals $2.50. So each ticket is $2.50 dollars. Now you have to multiple 2.50 times 9. which equals 22.5. So your total answer is $22.50 dollars

6 0

4 years ago