Option C: is the value of a and b
Explanation:
Given that the expression
We need to determine the value of a and b
Let us consider the term and take the prime factorization of the term 648
Thus, we have,
648 divides by 2,
324 divides by 2,
162 divides by 2,
81 divides by 3,
27 divides by 3,
9 divides by 3,
Thus, we have,
Therefore, equating the powers of 2 and 3, we get,
Hence, the value of a and b is 3 and 4
Thus, Option C is the correct answer.
Answer:
3577
Step-by-step explanation:
From the question given above, the following data were obtained:
7•2ᶦ
i = 0, 1, 2, .., 8
Sum =?
The sum can be obtained as follow:
7•2ᶦ
i = 0
7•2⁰ = 7 × 1 = 7
i = 1
7•2ᶦ = 7•2¹ = 7 × 2 = 14
i = 2
7•2ᶦ = 7•2² = 7 × 4 = 28
i = 3
7•2ᶦ = 7•2³ = 7 × 8 = 56
i = 4
7•2ᶦ = 7•2⁴ = 7 × 16 = 112
i = 5
7•2ᶦ = 7•2⁵ = 7 × 32 = 224
i = 6
7•2ᶦ = 7•2⁶ = 7 × 64 = 448
i = 7
7•2ᶦ = 7•2⁷ = 7 × 126 = 896
i = 8
7•2ᶦ = 7•2⁸ = 7 × 256 = 1792
Sum = 7 + 14 + 28 + 56 + 112 + 224 + 448 + 896 + 1792
Sum = 3577
Answer:
FV= 5,958.67 = 5,959
Step-by-step explanation:
Giving the following information:
Current population (Present Value)= 3,810
Growth rate (g)= 3.5% annual
Number of periods (n)= 13 years
<u>To calculate the future number of people (FV), we need to use the following formula:</u>
FV= PV*(1+i)^n
FV= 3,810*(1.035^13)
FV= 5,958.67 = 5,959
Answer:
area of square=l²
25sq.cm²=l²
l=5sq.cm
area of trapezium =(1/2)(a+b)h
a=5,b=(12+5)=17,h=5
area of trapezium=(1/2)(22)(5)
area=55cm²
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