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DaniilM [7]
3 years ago
7

Which of the following expressions is in simplified form?

Mathematics
1 answer:
Alex17521 [72]3 years ago
3 0

Answer: look at the photo

Step-by-step explanation:

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I don't understand the first one.
Mekhanik [1.2K]
No the 6 times 8 is 48 and the 9 times 12 is 108
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3 years ago
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A hummingbird can travel up to 15 meters per second what is the hummingbirds speed in miles per hour
dexar [7]
I think it's 240 mile per hour

60sec.= 1min

60min.=1hour

60×60=3600secs.

3600÷15=240
5 0
3 years ago
What is the number of subsets of S= {1, 2, 3…10} that contain five element include 3 or 4 but not both?
Ivenika [448]

Answer:

140

Step-by-step explanation:

To construct a subset of S with said property, we have two choices, include 3 in the subset or include four in the subset. These events are mutually exclusive because 3 and 4 can not both be elements of the subset.

First, let's count the number of subsets that contain the element 3.

Any of such subsets has five elements, but since 3 is already an element, we only have to select four elements to complete it. The four elements must be different from 3 and 4 (3 cannot be selected twice and the condition does not allow to select 4), so there are eight elements to select from. The number of ways of doing this is {}_8C_4=70.

Now, let's count the number of subsets that contain the element 4.

4 is already an element thus we have to select other four elements . The four elements must be different from 3 and 4 (4 cannot be selected twice and the condition does not allow to select 3), so there are eight elements to select from, so this can be done in {}_8C_4=70 ways.

We conclude that there are 70+70=140 required subsets of S.

7 0
3 years ago
What is the common ratio of the sequence?<br><br> -2, 6, -18, 54,...
navik [9.2K]
The common ratio is the multiplicity of -3

hope this helps
8 0
3 years ago
Read 2 more answers
50 pts! Fill in the blanks (see attachment for clues necessary to fill blanks).
Alexxx [7]

Hello!

We have the following colors.

red

blue

green

white

yellow

We have the following directions.

North

South

East

West

Center

We also have the following locations.

Cavern Entrance

Bank

Fishing Hole

Fundamental Magic Shop

Sacred Tree

First of all, let's try to match each star with a color.

We see that the fourth star to fall was not a Primary color. This means it was either green or white. Let's look for a reference to green or white to see which one the 4th star is.

We see that neither the white nor green star fell at the bank. Therefore, this star 4 is not at the bank. Let's look at our information on star 4. We see that white fell one of the first three nights. Therefore, star 4 is green.

Star 4

Not at the Bank

Green

As you can see, we don't have any more information quite yet. We do have some information on the red star, though. It did not fall at the cavern entrance, and it was in the constellation for at least 3 days. This means it was either 4 or 5. As we said before, 4 is Green, so Star 5 is red.

Star 5

Red

Did not Fall in the Cavern Entrance

Now, let's see what else we can discover.

The north star fell on an even numbered day. As you can see, this means either the 2nd or the Green star came from the North.

Let's think about locations for a moment. We know that the white or green star did not fall at the bank. We see that the second star to fall landed at either the bank or the Sacred Tree. But, we also see that they West star landed in the Sacred Tree.

Let's also think about directions. The third star to fall was in the center. The center and east stars fell sequentially, so the east star is either the 2nd or 4th star. Before, we said the 2nd of 4th star came from the north. This means that the 1st and 5th stars came from the South or West.

We also see that the blue and yellow stars were on opposite sides of the constellation. We know that the 1st and 2nd stars are blue and yellow due to elimination. We know that the north star fell on an even numbered day, which is either 2 or 4. This means 2 could be either North or East.

We also see that the center star would not have fallen at Fungimental Magic as it was not a cardinal direction.

We also see that the yellow star most likely landed in the fishing whole, as it could have looked like a yellow rock that scared of fish.

Let's think about each of our stars so far.

Star 1

Blue or Yellow

South or West

Could have Fallen at Sacred Tree (could be west)

Could have Landed in Fishing Hole

Star 2

Blue or Yellow

North or East

Bank or Sacred Tree

Star 3

White

Center

Did not fall at Bank

Star 4

Green

North or East

Did not Fall at Bank

Star 5

Red

South or West

Did not Fall at the Bank

Now, let's think of what landed at the bank. We know red and green didn't, and we know that the western one landed in the Sacred Tree. The thing is, we know the yellow one landed in the fishing hole. This means the yellow one is not west. Therefore, the 2nd star is not East, but it is north. This means star 4 is East, and Star 1 is South. This also means the Star 5 is West.

As you can see, we know that the red star fall at the Sacred Tree, so the second star fell at the bank. We can also see that the center star did not fall at the Fundamental Magic Shop. As you can see, the yellow star fell in the fishing hole. As you can see, star 2 landed at the bank, so star 1 is yellow and star 2 is blue.

If we do so, all we need to discover is the locations of star 3 and 4. We know that 3 did not fall at the Fundamental Magic, so that means 4 did so. This means 3 fell at the Cavern entrance.

Star 1: South, Yellow, Fishing Hole

Star 2: North, Bank, Blue,

Star 3: Center, White, Cavern Entrance

Star 4: East, Green, Fundamental Magic

Star 5: West, Sacred Tree, Red,

Therefore, our answers are shown below.

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

The 1st star was yellow, came from the South, and fell into the fishing hole.

The 2nd star was blue, came from the North, and fell into the bank.

The 3rd star was white, came from the center, and fell into the Cavern Entrance.

The 4th star was green, came from the East, and landed in Fundamental Magic.

The 5th star was red, came from the West, and fell into the Sacred Tree.

I hope this helps!

3 0
3 years ago
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