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jeka57 [31]
3 years ago
12

Select the equivalent expression

Mathematics
1 answer:
Svetach [21]3 years ago
3 0

\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}

Actually Welcome to the Concept of the Exponents ans Indices.

Since we know that, something inverse is a reciprocal.

that, (a) ^-1 = 1/a and (a^m)^n = a^m*n

so applying this we get as,

Option B.

==> 4^15 . 5^10

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A roller coaster can give rides to 50 more people. Each car can hold 5 people. What is the best way to interpret the remainder o
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Ket [755]

Answer with Step-by-step explanation:

a)3n + 4 \\  \\n = 1 \\ 3 \times 1 + 4 \\ 3 + 4 \\  =7 \\  \\ n = 2 \\ 3 \times 2 + 4 \\ 6 + 4 \\  = 10 \\  \\ n = 3 \\ 3 \times 3 + 4 \\ 9 + 4 \\  = 13 \\  \\ n = 4 \\ 3 \times 4 + 4 \\ 12 + 4 \\  = 16 \\  \\ n = 10 \\ 3 \times 10 + 4 \\ 30 + 4 \\  = 34 \\

So in this sequence,

1st term = 7

2nd term = 10

3rd term = 13

4th term = 16

10th term = 34

b)4n - 5 \\  \\ n = 1 \\ 4 \times 1 - 5 \\ 4 - 5 \\  =  - 1 \\  \\ n = 2 \\ 4 \times 2 - 5 \\ 8 - 5 \\ =  3 \\  \\ n = 3 \\ 4 \times 3 - 5 \\ 12 - 5 \\  = 7 \\  \\ n = 4 \\ 4 \times 4 - 5 \\ 16- 5 \\  = 11 \\  \\ n = 10 \\ 4 \times 10 - 5 \\ 40 - 5 \\  = 35

In this sequence,

1st term = -1

2nd term = 3

3rd term = 7

4th term = 11

10th term =35

5 0
3 years ago
Devaughn is 15 years younger than Sydney. The sum of their ages is 73. What is Sydney’s age?
Olegator [25]

Answer:

Sydney is 44 years old

Step-by-step explanation:

<u>Step 1:  Make a system of equations </u>

d = s - 15

<em>d + s = 73 </em>

<u>Step 2:  Plug in s - 15 for d in the second equation and solve </u>

s - 15 + s = 73

2s - 15 = 73 + 15

2s  / 2= 88 / 2

<em>s = 44 </em>

Answer:  Sydney is 44 years old

6 0
4 years ago
Read 2 more answers
Solve for x<br> 2/(7x) = 6/5<br><br> 5/21<br> -21/5<br> 21/5<br> I don't know<br> - 5/21
djverab [1.8K]
The answer is:  [A]:  " \frac{5}{21} " .
________________________________________
Given: 

2/ (7x) = 6/5; 

→  (6/5) * (7x) = 2 ; 

42x / 5 = 2 ; 

42x = 2*5 ; 

42x = 10 ; 

42x /42 = 10/42 ; 

x = 10/42 = (10÷2) / (42÷2) = 5/21 ; 

x = \frac{5}{21} ;

→  which is:  Answer choice:  [A]:  " \frac{5}{21} " .
__________________________________________________
7 0
3 years ago
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