The explicit formula for given geometric sequence is:

Step-by-step explanation:
Given geometric sequence is:
6,30,150,750....
First of all we will find the common ratio.
Common ratio is the ratio between two consecutive terms of a geometric sequence
In the given sequence
a1 = 6
a2 = 30
a3 = 150
a4 = 750
Now

The explicit formula for geometric sequence is:

Putting the values of a1 and r

Keywords: Geometric sequence
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Answer:
Alec sold 26 bags of butter popcorn and 14 bags of caramel popcorn
Step-by-step explanation:
Let
x------> the number of bags of butter popcorn sold
y------> the number of bags of caramel popcorn sold
we know that
-----> equation A
-----> equation B
Solve the system of equations by graphing
see the attached figure
The solution is the point (26.14)
therefore
Alec sold 26 bags of butter popcorn and 14 bags of caramel popcorn
Using the t-distribution, it is found that the proportion in a t-distribution less than −1.4 if the samples have sizes n1=30 and n2=40 is of 0.083.
<h3>How to find a proportion in a t-distribution?</h3>
The proportion is found using a calculator, with three inputs:
- The tail of the test, if it is left, right, or two-tailed.
- The amount of degrees of freedom.
In this problem, we have a left-tailed proportion, as we want the proportion that is less than a value, with test statistic t = -1.4 and 30 + 40 - 2 = 68 df, hence the proportion is of 0.083.
More can be learned about the t-distribution at brainly.com/question/16162795
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Answer:
100 Sq. =80 SQ. +60 SQ.
10000=6400+3600
10000=10000
yes,given length can form right angle triangle.
Answer:
⅙
Step-by-step explanation:
On a dice, only number greater than 5 is '6'.