The formula that describes the sequence is 
Step-by-step explanation:
The nth-term formula for a geometric sequence is 
, where
- a represents the first term of the sequence
- r signifies the common ratio between any two consecutive terms
= 
∵ The sequence is 
, -4, -24, -144,.......
∵ The first term is
∵ The second term is -4
∴ 
∵ The third term is -24
∴ 
∵ The fourth term is -144
∴ 
∵ 
= = 
= 6
∴ There is a consistent ratio between two consecutive terms
∴ The sequence qualifies as a geometric sequence
∵ The formula for the nth term of the geometric sequence is
∵ a =
∵ r = 6
∴ The equation for the sequence is
The formula that can be employed to outline the sequence is
Learn more:
You can explore more about sequences in
Answer:
Using a scale of 2" means "will take the original and enlarge it to twice its size".
Thus, the resulting photocopy will be double the dimensions of the original.
Step-by-step explanation:
Answer:
The attached figure illustrates the graph.
Step-by-step explanation:
Let
x represents the count of open acres
y depicts the total developed acres
It is established that
corresponds to inequality A
corresponds to inequality B
Keep in mind that
if the open acres, x, is limited to a maximum of 1, then it follows that x must adhere to ≤ 1
The system of equations can be solved by graphing
The solution is found in the shaded area (Note Negative acreage counts are not permissible)
The attached figure serves as a visual representation.
Answer: D) 
Step-by-step explanation:
Based on the provided information, we have
Sample size: n= 15
sample mean: 
Sample standard deviation: s= $20
Since the population standard deviation is not known, we utilize a t-test.
For a significance level of 95% confidence: 
Critical t-value : 
[Using the Student's t-value table]
The required 95% confidence interval yields:-
Thus, the sought-after 95% confidence interval for the mean amount spent by credit card customers during their initial visit to the new store in the mall, assuming normal distribution of the spending amounts, is:
Answer:
- 128 Superscript StartFraction 3 Over x EndFraction
- (4RootIndex 3 StartRoot 2 EndRoot)x
- (4 (2 Superscript one-third Baseline) ) Superscript x
Step-by-step explanation:
Considerando la ecuación dada ![(\sqrt[3]{128} )^{x}\\](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B128%7D%20%29%5E%7Bx%7D%5C%5C)
De acuerdo con una de las leyes de índices,
![(\sqrt[a]{m} )^{b}\\= (\sqrt{m})^\frac{b}{a}](https://tex.z-dn.net/?f=%28%5Csqrt%5Ba%5D%7Bm%7D%20%29%5E%7Bb%7D%5C%5C%3D%20%28%5Csqrt%7Bm%7D%29%5E%5Cfrac%7Bb%7D%7Ba%7D)
Aplicando esta ley a la pregunta;
![(\sqrt[3]{128} )^{x}\\ = {128} ^\frac{x}{3}\\ \\= (\sqrt[3]{64*2})^{x} \\ = (4\sqrt[3]{2})^{x} \\= (4(2^{1/3} )^{x} )](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B128%7D%20%29%5E%7Bx%7D%5C%5C%20%3D%20%7B128%7D%20%5E%5Cfrac%7Bx%7D%7B3%7D%5C%5C%20%5C%5C%3D%20%28%5Csqrt%5B3%5D%7B64%2A2%7D%29%5E%7Bx%7D%20%5C%5C%20%3D%20%284%5Csqrt%5B3%5D%7B2%7D%29%5E%7Bx%7D%20%5C%5C%3D%20%284%282%5E%7B1%2F3%7D%20%29%5E%7Bx%7D%20%29)
<pLos siguientes son ciertos de acuerdo con el cálculo presentado
128 Superscript StartFraction 3 Over x EndFraction
(4RootIndex 3 StartRoot 2 EndRoot)x
(4 (2 Superscript one-third Baseline) ) Superscript x
