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)
To learn more on geometric sequences: brainly.com/question/4617980
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Answer:
69
"bring me my money"
Step-by-step explanation:
We are given the equations 3x+5y=-3 and x-5y=-5.
Both equations have a 5y term which allows us to easily solve the system by elimination. To do so we will add the equations together like a simple addition problem by adding the x terms together, the y terms together, and the integer answers together.
3x + 5y = -3
+x - 5y = -5
---------------
4x + 0y = -8
The y terms cancel out since one is positive and one is negative. Now we can solve for x.
4x = -8

x = -2
Now plug -2 in for x in one of the original equations to find y.
(-2) - 5y = -5
-5y = -3
y = 3/5
Our answer as an ordered pair is (2, 3/5)
Sin A = opp/hyp = 4/5
Cos A = adj/hyp = 3/5
Tan A = opp/adj = 4/3
Cos 27 = 0.8910065... --> 0.89
You can just plug that into your graphing calculator, just make sure the degree mode is on.
<h2>Answer: 250 Hamburgers sold</h2><h2>Step-by-step explanation:</h2><h2><u><em>x = hamburgers
</em></u></h2><h2><u><em>y = cheeseburgers
</em></u></h2><h2><u><em>x+y=434
</em></u></h2><h2><u><em>66 fewer cheeseburgers than hamburgers
</em></u></h2><h2><u><em>
</em></u></h2><h2><u><em> </em></u></h2><h2><u><em>y = x - 66
</em></u></h2><h2><u><em>Substitute y into the first equation
</em></u></h2><h2><u><em>x + (x-66) = 434
</em></u></h2><h2><u><em>2x = 434 + 66
</em></u></h2><h2><u><em>2x = 500
</em></u></h2><h2><u><em>x = 250 hamburgers sold</em></u></h2>