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iogann1982 [59]
3 years ago
14

(25 POINTS) 10. Find the sum of the arithmetic sequence. 5, 7, 9, 11, ..., 23​

Mathematics
1 answer:
Taya2010 [7]3 years ago
5 0

Answer:

Sum = 140

Step-by-step explanation:

We find all the terms, we know that every consecutive term, we add 2 until we reach 23:

Sum = 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23

Sum = 140

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Does anyone know how to do this?
Svetach [21]
Answer: Choice B) y = (x+4)^2 - 1

-------------------------------------------------------------------

Reasoning:

The vertex is (h,k) = (-4,-1) so h = -4 and k = -1

In each answer choice, a = 1. 

Plug a = 1, h = -4 and k = -1 into the equation below and simplify

y = a(x-h)^2 + k
y = 1(x-(-4))^2 + (-1)
y = (x+4)^2 - 1
3 0
4 years ago
An arithmetic sequence is represented by the explicit formula A(n) = 2 + 9(n - 1). What is the recursive formula?. . A. A(n) = A
KiRa [710]
A(n) = 2 + 9(n - 1) = 2 + 9n - 9
A(n + 1) = 2 + 9(n + 1 - 1) = 2 + 9n = (2 + 9n - 9) + 9 = A(n) + 9

Therefore, the recursive formular is A(n) = A(n - 1) + 9
6 0
3 years ago
Read 2 more answers
While on a business trip to Manchester, Valentina treated her co-workers to a meal that cost $100. Valentina knew that when the
Ratling [72]
132 dollars is the answer
4 0
3 years ago
a squirrel is 24 feet up in a tree and tosses a nut out of the tree with an initial velocity of 8 feet per second. the nuts heig
marin [14]

The nut lands first on gorund

<em><u>Solution:</u></em>

The squirrel climbs down the tree in 2 seconds

Given that,

A squirrel is 24 feet up in a tree and tosses a nut out of the tree with an initial velocity of 8 feet per second

<em><u>The nuts height, h, at time t seconds can be represented by the equation:</u></em>

h(t) = -16t^2 + 8t+24

-16t^2 + 8t+24 = 0\\\\-2t^2 + t + 3 = 0\\\\2t^2 - t-3=0\\\\Split\ the\ middle\ term\\\\2t^2 + 2t-3t -  3 = 0\\\\Break\ the\ expression\ into\ groups\\\\(2t^2 + 2t) -(3t+3) = 0\\\\2t(t+1) -3(t+1) = 0\\\\(t+1)(2t-3) = 0\\\\Therefore,\\\\t + 1 = 0\\\\t = -1\\\\2t-3=0\\\\2t = 3\\\\t = \frac{3}{2} = 1.5

time cannot be negative, so ignore t = -1

Thus the nut takes 1.5 seconds to reach ground

From given,

The squirrel climbs down the tree in 2 seconds

Therefore, the nut lands first on gorund

5 0
3 years ago
What are the possible rational zeros of f(x) = x4 + 2x3 − 3x2 − 4x + 20? (1 point)
Montano1993 [528]

The <u>possible rational zeros</u> of <u>polynomial function</u> f(x) = x^4 + 2x^3 - 3x^2-4x + 20 could be only among the <u>divisors</u> of the <u>free term</u> of this polynomial function.

The free term is 20 and the divisors of 20 are:

\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20.

Answer: correct choice is C

7 0
4 years ago
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