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levacccp [35]
3 years ago
14

What is the value of this expression 3^2*2-4(3-1)

Mathematics
1 answer:
aalyn [17]3 years ago
4 0

Answer:

10

Step-by-step explanation:

3^2*2-4(3-1)

3^2=9

9*2

9×2

18

4(3-1)

4(2)

8

18-8

=10

So the final answer is 10

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Can anyone pls help me to solve question 2 f and g and pls provide me a explanation I’m with that questions for three days
zvonat [6]

Answer:

  f)  a[n] = -(-2)^n +2^n

  g)  a[n] = (1/2)((-2)^-n +2^-n)

Step-by-step explanation:

Both of these problems are solved in the same way. The characteristic equation comes from ...

  a[n] -k²·a[n-2] = 0

Using a[n] = r^n, we have ...

  r^n -k²r^(n-2) = 0

  r^(n-2)(r² -k²) = 0

  r² -k² = 0

  r = ±k

  a[n] = p·(-k)^n +q·k^n . . . . . . for some constants p and q

We find p and q from the initial conditions.

__

f) k² = 4, so k = 2.

  a[0] = 0 = p + q

  a[1] = 4 = -2p +2q

Dividing the second equation by 2 and adding the first, we have ...

  2 = 2q

  q = 1

  p = -1

The solution is a[n] = -(-2)^n +2^n.

__

g) k² = 1/4, so k = 1/2.

  a[0] = 1 = p + q

  a[1] = 0 = -p/2 +q/2

Multiplying the first equation by 1/2 and adding the second, we get ...

  1/2 = q

  p = 1 -q = 1/2

Using k = 2^-1, we can write the solution as follows.

The solution is a[n] = (1/2)((-2)^-n +2^-n).

 

5 0
3 years ago
Outside a​ home, there is aa 44​-key keypad numbered 11 through 44. The correct sixsix​-digit code will open the garage door. Th
olya-2409 [2.1K]

Answer:

a) 4,096

b) 0.000244

Step-by-step explanation:

a)  

By the Fundamental rule of counting, there are

4*4*4*4*4*4 = 4,096  

ways of forming six-digit arrangements where each position has 4 possibilities (1 to 4)

b)

The probability of entering the correct code on the first try, assuming that the owner does not remember the code is  

1/4096 = 0.000244

5 0
3 years ago
What does 3 exponent -2 equal
inysia [295]
I am pretty sure your answer is going to be 243
I hope this helps, and good luck!!
4 0
3 years ago
Find the value of x in each figure <br><br>​
Ronch [10]

Answer:

X is 50

Step-by-step explanation:

3 0
3 years ago
Find the mean of the data.
Vladimir79 [104]

Answer:

5

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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