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larisa86 [58]
3 years ago
8

X-5 is greater than or equal to-8​

Mathematics
1 answer:
Sliva [168]3 years ago
3 0

Answer:

greater than is the answer

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A particular model of walkie-talkie can broadcast in a circular area. The radius of the broadcast area is 7,000 feet. Find the a
o-na [289]

Answer:

153938040.0259 ft2

Step-by-step explanation:

R= Square root of A/π

   

7 0
3 years ago
Read 2 more answers
Twenty different books are to be put on five book shelves, each of which holds at least twenty books.
olya-2409 [2.1K]

Answer:

(a) 10,626 different arrangements

(b) 95,367,431,640,625 different arrangements

(c) 2.5852017 × 10²² different arrangements

Step-by-step explanation:

(a) How many different arrangements are there if you only care about the number of books on the shelves (and not which book is where)?

We use the combination formula for this

C(n , r) = n + r - 1C r - 1

n = 20

r = 5

= 20 + 5 - 1 C 5-1

= 24C4

= 24!/4 ! × (24 - 4)

= 24!/4! × 20!

= 10,626 arrangements

(b) How many different arrangements are there if you care about which books are where, but the order of the books on the shelves doesn't matter?

Since the order of the books on the shelves does not matter,

The calculation is given as

5²⁰ = 95,367,431,640,625 arrangements

(c) How many different arrangements are there if the order on the shelves does matter?

Since order matters now

Step 1

We use the combination formula for this

C(n , r) = n + r - 1C r - 1

n = 20

r = 5

= 20 + 5 - 1 C 5-1

= 24C4

= 24!/4 ! × (24 - 4)

= 24!/4! × 20!

= 10,626

Step 2

We find the factorial of the number books

= 20!

= 2,432,902,008,176,640,000

Step 3

The different arrangements there are if the order on the shelves does matter is calculated

= 10,626 × 2,432,902,008,176,640,000

= 2.5852017 × 10²² different arrangements

8 0
3 years ago
Find f(5) for f(x) = 1/4(2)x^<br> A.8<br> B.2<br> C.4<br> D.32
Katena32 [7]
A. 8 HOPE THIS IS CORRECT!
7 0
3 years ago
What is the length of each side of a square that has the same area as a rectangle that is 14 mm long and 16 mm wide? Round to th
swat32
1. You have the following information:

 - <span> The square has the same area as a rectangle.
 - The dimensions of the rectangle are: 14 mm long and 16 mm wide.

 2. You must use the formula for calculate the area of a square, which is shown below:

 A=S</span>²

 "A" is the area of the square.<span>
 "S" is the lenght of the side of the square. (It is important to remember that the sides of a squre have equals lenghts.

 3. The square and the rectangle have the same area. Therefore:

 Arectangle=(14 mm)(16 mm)
 Arectangle=224 mm</span>²
<span>
 A=224 mm</span>²
<span>
 4. Now, you must substitute the value A=224 mm</span>² into the formula A=S² and clear "S":
<span>
 A=S</span>²
<span> S=</span>√A
<span> S=</span>√(224 mm²)
<span> S=15 mm

 The answer is: 15 mm

 </span>
7 0
3 years ago
What is the width of a rectangle with an area of 3600 square yards and a length of 80 yards
AlekseyPX
Divide the area by the length and you get the width.
So 3600/80 = 45.
The width of the rectangle is 45 yards.
Hope this helped !

3 0
3 years ago
Read 2 more answers
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