Answer:
10 terms
Step-by-step explanation:
equate the sum formula to 55 and solve for n
n(n + 1) = 55 ( multiply both sides by 2 to clear the fraction )
n(n + 1) = 110 ← distribute parenthesis on left side
n² + n = 110 ( subtract 110 from both sides )
n² + n - 110 = 0 ← in standard form
Consider the factors of the constant term (- 110) which sum to give the coefficient of the n- term (+ 1)
the factors are + 11 and - 10 , since
11 × - 10 = - 110 and 11 - 10 = + 1 , then
(n + 11)(n - 10) = 0 ← in factored form
equate each factor to zero and solve for n
n + 11 = 0 ⇒ n = - 11
n - 10 = 0 ⇒ n = 10
However, n > 0 , then n = 10
number of terms which sum to 55 is 10
Answer:
Step-by-step explanation:
10^4 = 10000
1.7 × 10^4 = 1.7 × 10000
= 17000
10^-2 = 1/10^2= 1/100
8.5 × 10^-2 = 8.5 × 1/100
= 17/200
Final answer = 17000 × 17 / 200
= 1445
Plz mark it as brainliest
Answer:
N = {13, 15, 17, 19}
Step-by-step explanation:
The natural numbers greater than 11 and less than 21 are:
12, 13, 14, 15, 16, 17, 18, 19 and 20
Odd numbers are numbers that have remainders when divided by 2. Out of the numbers above, the numbers with remainders when divided by 2 are 13, 15, 17 and 19.
Since N is the set of odd natural numbers greater than 11 and less than 21,
N = {13, 15, 17, 19}
Answer:
f = 4
Step-by-step explanation:
60= 15f
divide both side by 15
f = 4
Answer:
The coordinates of the vertex is (6,4).
Step-by-step explanation:
The vertex is the highest or lowest point on the parabola (curved line).
