Answer:
0.332
Step-by-step explanation:
given series
1/4, 1/16,1/64.1/256
this is geometric series
where common ratio r is given by
nth term/ (n-1)th term
let the second term is nth term and first term is (n-1)th term
r = 1/16 / (1/4) = 1/4
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sum of series is given by
a (1-r^n)/1-r
where a is first term
n is the number of terms
r is the common ration
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in the given series
1/4, 1/16,1/64.1/256
a = 1/4
r = 1/4
n = 4
thus ,
sum = 1/4(1-(1/4)^4)/ (1-1/4)
sum = 1/4(1-(1/256)/(4-1)/4
sum = 1/4((256-1)/256 / 3/4
1/4 in numerator and denominator gets cancelled
sum =( 255/256*3) = 255/768 = 0.332
Thus, sum of series is 0.332.
I believe it to be 4 because 3=24/8
So 5/8 + 5/8 = 10/8 + 5/8 = 15/8 + 5/8 = 20/8 + 5/8 = 25/8, which is the closest number to 3
Answer:
1 DVD costs 15 cents.
I million DVDs cost 150,000 dollars.
Step-by-step explanation:
If 20 DVDs ------ $3
then, 1 DVD----------- x
20x = 3
x = 3/20
x = 0.15
1 DVD costs 15 cents
i already did this problem in one of my quizzes
Answer:
Step-by-step explanation: The simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.
What is an integer exponent?
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
The question is incomplete.
The complete question is attached in the picture, please refer picture.
We have an expression:
Thus, the simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.
Learn more about the integer exponent here:
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