The other two expressions that have value of 256 is 4⁴ and 16².
Given the exponent expression 2⁸ has a value of 256.
We want to write two other exponential expressions that have value 256.
The given expression is 2⁸=256
The above expression can be written as
2×2×2×2×2×2×2×2=256
By using the Associative property of multiplication, we can write them as
(2×2)×(2×2)×(2×2)×(2×2)=256
4×4×4×4=256
4⁴=256
and it can also be written as by using the associative property of multiplication again and get
(2×2×2×2)×(2×2×2×2)=256
16×16=256
16²=256
Hence, the two other exponential expression of 256 other than 2⁸ is 4⁴ and 16².
Learn more about the exponential expression from here brainly.com/question/17003520
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Answer:
The composition is undefined.
Step-by-step explanation:
The output of f of 2 is -5 because -5 is not listed as the input in g of x the function is undefined.
Answer:
1) Three increased by a number: 3+x
2) The sum of nine and eight: 9+8
3) Nine divided by a number: 9/x
4) The sum of nine and a number : 9+x
5) A number divided by 9: x/9
6) Nine less than a number: x-9
7) The product of nine and a number: 9n
Step-by-step explanation:
You have to match statements with their mathematical expressions.
I will match the statements with their mathematical forms.
1) Three increased by a number: 3+x
2) The sum of nine and eight: 9+8
3) Nine divided by a number: 9/x
4) The sum of nine and a number : 9+x
5) A number divided by 9: x/9
6) Nine less than a number: x-9
7) The product of nine and a number: 9n
Answer:
Degree of freedom = 2
Expected frequency = 80%
Critical value, = 5.991
χ² statistic = 3.5
Step-by-step explanation:
Given the data :
Hong Kong New York Paris
Yes 86% 76% 78%
No 14% 24% 22%
The degree of freedom for the Chisquare statistic is given as :
(no of rows - 1) * (number of columns - 1)
Number of rows = 2
Number of columns = 3
. Degree of freedom = (2-1) * (3-1) = 1*2 = 2
Expected frequency = (Row total * column total) / grand total
The expected frequency of Hong Kong / Yes cell :
Row total = (86+76+78) = 240
Column total = (86+14) = 100
Grand total, N = (14+24+22)+240 = 300
Expected frequency = (240*100)/300 = 80%
The critical value :
At α - level = 0.05 ; df = 2
Critical value = 5.991
χ² = Σ(observed - Expected)² / Expected
The expected values :
80 80 80
20 20 20
Hence,
χ² = Σ(86-80)²/80 + (76-80)²/80 + (78-80)²/80 + (14-20)²/20 + (24-20)²/20 + (22-20)²/20
χ² statistic = 3.5
N = 24 is your answer
hope this helps :)
