The <em>twelfth</em> element of the <em>geometric</em> sequence is equal to 4,096. (Correct choice: D)
<h3>How to find a determined element of a geometric sequence by exponential formulae</h3>
Sequences are series of elements generated according to at least one condition, usually equations. <em>geometric</em> sequences are generated according to a <em>exponential</em> formulas, whose form and characteristics are described below:
f(n) = a · bⁿ ⁻ ¹ (1)
Where:
- a - First element of geometric sequence
- b - Common ratio of the geometric sequence
- n - Element index within the geometric sequence
If we know that a = 4, b = 2 and n = 12, then the twelfth element of the geometric sequence from the statement is:
f(12) = 4 · 2¹² ⁻ ¹
f(12) = 4 · 2¹¹
f(12) = 4 · 2,048
f(12) = 4,096
The <em>twelfth</em> element of the <em>geometric</em> sequence is equal to 4,096. (Correct choice: D)
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If the standard deviation of an exam is 5, the z-score us 1.95 and the mean is 80, the actual test score is; 89.75
<h3>How to solve z-score problems?</h3>
We are given;
Standard deviation; s = 5
z-score = 1.95
Mean = 80
Formula for z-score is;
z = (x' - μ)/σ
Thus;
1.95 = (x' - 80)/5
1.95 * 5 = (x' - 80)
9.75 = x' - 80
x' = 80 + 9.75
x' = 89.75
Read more about Z-score Problems at; brainly.com/question/25638875
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Answer and Step-by-step explanation:
Simply just adding and subtracting.
8 - 1 - 6 + 5 = 6
-2 + 6 - 3 - 4 = -3
-- 4 is 3 away from 7. The answer is positive 3.
-- The answer is negative 5.
-- The answer is positive 1.
-- The answer is 0.
-- The answer is negative 7.
-- The answer is -25.
-- The answer is 64.
-- The answer is 32.
-- The answer is 80.
-- The answer is -43.
-- The answer is 95.
-- The answer is 26
<u><em>#teamtrees #PAW (Plant And Water)</em></u>
-7x -7y = 21
Y = 6
Since they are giving you the value of 6 you just plug it in the equation
-7x - 7(6) = 21
-7x - 42 = 21
+ 42. +42
-7x = 63
/-7. /-7
X = -9
This is the answer
if substitute 1 and 2 and 3 as x then the points will be :
and that's the picture
good luck
