Step-by-step explanation:
sum of the arithmetic sequence
a1 = 8
a2 = a1 + 8 = 8+8 = 16
...
an = 8×n
the sum of the first n elements of such a series is
n/2 × (2×a1 + (n - 1)×d]
with d being the difference between 2 consecutive elements (= the added constant).
so,
s30 = 30/2 × (2×8 + 29×8) = 15×(31×8) = 3720
Answer:
RESOLUTION
Step-by-step explanation:
Resolution is the smallest increment a tool can detect and display. For a nonelectrical example, consider two rulers.
Answer:
Step-by-step explanation:
3x -2=5(2x+1)
3x-2=10x+5
10x-3x=-2-5
7x=-7
x=-1
Answer:
D
Step-by-step explanation:
Given a polynomial f(x) with roots say x = a and x = b, then the factors are
(x - a) and (x - b) and f(x) is the product of the roots, that is
f(x) = (x - a)(x - b)
Here the roots are x = - 4, x = 0 and double root at x = 7
Thus factors are (x - (- 4)), (x - 0), that is (x + 4) and x
Given a double root at x = 7 the factor is (x - 7)², thus polynomial is
y = x(x + 4)(x - 7)² → D
Answer:
a : b = 4 : 3
Step-by-step explanation:
(mark as brainlist answer)
According to the given condition is the question :
Two numbers a and b are such that the sum of 5% of a and 4% of b is two-third of the sum of 6% of a and 8% of b
⇒ (5% of a) + (4% of b) = (2/3) × [(6% of a) + (8% of b)
⇒ 0.05a + 0.04b = 2/3 × (0.06a + 0.08b)
⇒ 0.15a + 0.12b = 0.12a + 0.16b
⇒ 0.03a = 0.04b
⇒ a/b = 4/3
⇒ a : b = 4 : 3
