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Andrej [43]
4 years ago
8

Simplify 14 to the 15th power over 14 to the 5th power

Mathematics
1 answer:
stiks02 [169]4 years ago
6 0

Answer:

d) 14^10.

Step-by-step explanation:

14^15 / 14^5

= 14^(15-5(

= 14^10.

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Write in expanded form. Use parentheses to indicate multiplication.
Mashutka [201]

Answer:

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3 years ago
Find the 8th term in the following geometric sequence. Round your answer to the nearest hundredth. 27/375, 9/75,3/15,1/3,....
Nesterboy [21]

Answer:

  2.57

Step-by-step explanation:

The common ratio of this sequence is ...

  (1/3)/(3/15) = (1/3)/(1/5) = 5/3

Each additional term is 5/3 times the previous one, so the 8th term will be (5/3)^4 times the 4th term (the last one given). It is ...

  (1/3)·(5/3)^4 = 625/243 ≈ 2.57

_____

The generic n-th term (an) is ...

  an = a1·r^(n-1)

where a1 is the first term and r is the common ratio. We can make use of this formula to find the 8th term:

  a8 = (27/375)·(5/3)^7 = (3^3/3^7)·(5^7/(3·5^3)) = 5^4/3^5 = 625/243 ≈ 2.57

7 0
3 years ago
Fill in the table using this function rule 4=27-4x
Fantom [35]
Are you trying to solve the whole problem
7 0
3 years ago
I dont know how to delete a question
pav-90 [236]

Answer:

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7 0
3 years ago
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The dimensions of a rectangular dining room are 18 feet by 16 feet. If a scale factor of 1/4 is used to make a scale model of th
vivado [14]
Since the dimension of the scale model is fourth of dimensions of the room, divide by 4 the given dimensions.

                  new dimensions:
                              = 18 ft / 4 = 9/2 ft
                               = 16 ft / 4 = 4 ft

The area is calculated by multiplying the dimensions,
                       Area = (9/2 ft)(4 ft) = 18 ft²

Therefore, the area of the scale model is equal to 18 ft². 
5 0
4 years ago
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