Answer:
Let 'a' be the first term, 'r' be the common ratio and 'n' be the number of terms
Series = 2+6+18.......= 2+2•3¹+ 2•3².......= 728
Now,

So,

Therefore, number of terms is 6
Answer:
7.5 cm²
Step-by-step explanation:
Dimensions of the large ∆:


Dimensions of the small ∆:


Difference between the area of the large and the small ∆ = 13.5 - 6 = 7.5 cm²
Answer:
A. (2i)(8) = d. 16i
B. 16i³ = b. -16i
C. (2i)⁴ = a. 16
D. (2i)(8i) = c. -16
Step-by-step explanation:
A. Multiply 2i by 8 to get 16i, which corresponds to d.
B. The exponent is 3 more than a mulitple of 4 in 16i³, so the answer is negative. -16i corresponds to b.
C. (2i)⁴ has an exponent that is a multiple of 4, so the i isn't needed. 16 corresponds to a.
D. (2i)(8i) simplifies to 2(8) * i². The exponent is 2 more than a multiple of 4, so the answer is negative, without an i. -16 corresponds to c.
Answer: See Annex
z (max) = 190
x = 10
y = 20
Step-by-step explanation:
z = 5*x + 7*y to maximize
Subject to:
x + y ≤ 30
2*x + y ≤50
2*x - y ≥ 0
x≥= y ≥0
Answer:
The second number line represent the location of 3N values.
Step-by-step explanation:
The first number line represent the inequality <em>N</em> > 3.
Now, the new number is 3<em>N</em>.
Consider the second number line values:
3N = {12, 15, 18, 21, ....}
The second number line represent the location of 3N values.