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oee [108]
3 years ago
6

Zzyzx Road is in California near Nevada. How many five-letter arrangements of the letters in the English alphabet follow Zzyzx a

lphabetically? I can't figure this out! Please help!
Mathematics
1 answer:
Gemiola [76]3 years ago
7 0
This problem can be solved using the concepts of permutation.

Zzyzx is the word. It has five letters. It asked as to how many five-letter arrangements of the letters in the English alphabet follow Zzyzx alphabetically.

Take note: <span>alphabetically
</span>
The two remaining five-letter after Zzyzx are Zzyzy and Zzyzz.
The remaining arrangements are of the form Zzz _ _.
There are 26 × 26 = 676 ways to fill in the last two letters, so following Zzyzx alphabetically, there are 2 + 676 = 678 arrangements.

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Which number when rounded to the nearest whole number 4
Serga [27]
A number that can be rounded to 4 can be anywhere from 3.5 to 3.9
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3 years ago
an airplane flies 3300 miles with the wind in 3 hours 18 minutes. it takes 4 hours and 24 mins to make the return flight against
romanna [79]

Answer:

The speed of aeroplane =875 miles/hr and the speed of wind =125 miles/hr.

Step-by-step explanation:

Let’s assume the speed of the plane =x miles/hr

And let the speed of wind =y miles/hr

So, the speed of the aeroplane in the direction of wind =(x+y) miles/hr

Speed of the aeroplane in the opposite direction of wind =(x–y) miles/hr

We know that, distance=speed×time

Then according to the given conditions, we have

3300=(x+y)×(3+(18/60))

here convert 18mins to hour by dividing by 60 and add to 3hrs.

⇒x+y= 3300/3.3

⇒x+y=1000 … (i)

And,

3300=(x-y)×(4+(24/60))

here convert 24mins to hour by dividing by 60 and add to 4hrs.

⇒x-y= 3300/4.4

⇒x-y=750 … (ii)

Adding equation (i) and (ii), we get

2x=1750

⇒x= 1750/2

=875

Substituting the value of x in equation (ii), we get

875−y=750

⇒y=875-750

⇒y=125

Therefore, the speed of aeroplane =875 miles/hr and the speed of wind =125 miles/hr.

3 0
2 years ago
I arrive at 5:52 and play for 1 hour and 12 mins. What time do I stop playing?
Svetradugi [14.3K]

Answer:

7:04 p.m.

Step-by-step explanation:

4 0
3 years ago
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For Khloe's lemonade recipe, 8 lemons are required to make 10 cups of lemonade. How many lemons for 30 cups of lemonade?
Margaret [11]

Answer: 24 lemons

Step-by-step explanation: Good luck! :D

8 lemons - 10 cups

16 lemons - 20 cups

24 lemons - 30 cups

6 0
3 years ago
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Which graph represents y=3 sqrt x+2
ziro4ka [17]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

y=3\sqrt{x+2}

Remember that the radicand must be greater than or equal to zero

so

x+2\geq 0

solve for x

subtract 2 both sides

x\geq -2

The domain is the interval [-2,∞)

All real number greater than or equal to -2

For x=-2

y=3\sqrt{-2+2}=0

so

The range is the interval [0,∞)

All real number greater than or equal to 0

Find the y-intercept

Remember that the y-intercept is the value of y when the value of x is equal to zero

For x=0

y=3\sqrt{0+2}

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The y-intercept is the point (0,4.243)

therefore

The graph in the attached figure

7 0
4 years ago
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