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Morgarella [4.7K]
3 years ago
8

Value of [(3/2)^(-2)] is *​

Mathematics
1 answer:
horrorfan [7]3 years ago
3 0

Answer:

{ (\frac{3}{2} )}^{ - 2}  \\  =   { (\frac{2}{3}) }^{2}  \\ =   \frac{4}{9}  \\ thank \: you

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bagirrra123 [75]

Answer:

Step-by-step explanation:

5 0
3 years ago
If 2^x > 4^ 15 and x is a positive integer, what is the least possible value of x?
lisov135 [29]

Answer:

x = 31

Step-by-step explanation:

2^x > 4^ 15

Rewrite 4 as 2^2

2^x > 2^2^ 15

We know a^b^c = a^(b*c)

2^x > 2^ (2*15)

2^x > 2^30

Since the bases are the same, the exponents must follow the inequality

x> 30

5 0
3 years ago
What is the simplified form of the following expression?
geniusboy [140]

Answer:

242

Step-by-step explanation:

Simplify the following:

11 ((9^2 - 5^2)/2^2 + 8)

Hint: | Evaluate 2^2.

2^2 = 4:

11 ((9^2 - 5^2)/4 + 8)

Hint: | Evaluate 5^2.

5^2 = 25:

11 ((9^2 - 25)/4 + 8)

Hint: | Evaluate 9^2.

9^2 = 81:

11 ((81 - 25)/4 + 8)

Hint: | Subtract 25 from 81.

| 7 | 11

| 8 | 1

- | 2 | 5

| 5 | 6:

11 (56/4 + 8)

Hint: | Reduce 56/4 to lowest terms. Start by finding the GCD of 56 and 4.

The gcd of 56 and 4 is 4, so 56/4 = (4×14)/(4×1) = 4/4×14 = 14:

11 (14 + 8)

Hint: | Evaluate 14 + 8 using long addition.

| 1 |  

| 1 | 4

+ | | 8

| 2 | 2:

11×22

Hint: | Multiply 11 and 22 together.

| 2 | 2

× | 1 | 1

| 2 | 2

2 | 2 | 0

2 | 4 | 2:

Answer: 242

3 0
3 years ago
A badminton tournament begins with 512 teams. If a team loses once, it is eliminated from competition. After the first round, 25
tankabanditka [31]

Answer:

This is GP with the first term of 512 and common ratio of 1/2

<u>The formula for nth term is:</u>

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<u>The number of teams after the 4th round:</u>

  • a₄ = 512*(1/2)⁴ = 32 teams

<u>Number of rounds to determine the champion:</u>

  • 1 = 512*(1/2)ⁿ
  • 2⁰ = 2⁹*2⁻ⁿ
  • 0 = 9 - n
  • n = 9 rounds
8 0
3 years ago
Read 2 more answers
There are 3 circles and 6 triangles. What is the simplest ratio of circles to triangles?
expeople1 [14]

Answer:

1:3

Step-by-step explanation:

Hope this helps!

6 0
3 years ago
Read 2 more answers
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