Geometeric sequence
an=a1(r^(n-1))
r=common ratio
a1=first term
an=nth term
1. a1=0.5
r=0.5
a15=0.5(5^(15-1))
a15=0.5(5^14)
a15=3,051,757,812.5
2. a1=-10000
r=-1/2
a6=-10000(-1/2)^(6-1)
a6=-10000(-1/2)^(5)
a6=-10000(-1/32)
a6=312.5
3.
a1=3/4
r=4
a6=(3/4)(4)^(8-1)
a6=(3/4)(4)^(7)
a6=12288
Answer:
90 minus x
Step-by-step explanation:
90 minus x is 53
7 x 10x10x10 = 7000 third power only means the number of 10's so
It is true that if two variables are directly proportional then their graph is a linear function.
<h3>How to determine the true statement?</h3>
The highlights in the statement are given as:
- Two variables
- Direct proportion
- Linear function
The equation of a directly proportional graph is represented as:
y = kx
Where k represents the constant of variation
The equation y = kx is a linear function and k is the slope
Hence, it is true that if two variables are directly proportional then their graph is a linear function.
Read more about variation at:
brainly.com/question/6499629
#SPJ1
whenever we have an amount to be divided in ratios, we simply divide the total amount by the sum of those ratios and then distribute accordingly. In this case, let's divide 77.40 by (1+3+5) and then distribute accordingly to each chap.
![\bf \stackrel{Paul}{1}~~:~~\stackrel{Colin}{3}~~:~~\stackrel{Brian}{5}~\hfill \cfrac{77.40}{1+3+5}\implies 8.6 \\\\\\ \stackrel{Paul}{1\cdot 8.6}~~:~~\stackrel{Colin}{3\cdot 8.6}~~:~~\stackrel{Brian}{5\cdot 8.6}\qquad \implies \qquad \stackrel{Paul}{8.6}~~:~~\stackrel{Colin}{25.8}~~:~~\stackrel{Brian}{43} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{Brian get this much more than Paul}}{43-8.6\implies 34.4}~\hfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7BPaul%7D%7B1%7D~~%3A~~%5Cstackrel%7BColin%7D%7B3%7D~~%3A~~%5Cstackrel%7BBrian%7D%7B5%7D~%5Chfill%20%5Ccfrac%7B77.40%7D%7B1%2B3%2B5%7D%5Cimplies%208.6%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7BPaul%7D%7B1%5Ccdot%208.6%7D~~%3A~~%5Cstackrel%7BColin%7D%7B3%5Ccdot%208.6%7D~~%3A~~%5Cstackrel%7BBrian%7D%7B5%5Ccdot%208.6%7D%5Cqquad%20%5Cimplies%20%5Cqquad%20%5Cstackrel%7BPaul%7D%7B8.6%7D~~%3A~~%5Cstackrel%7BColin%7D%7B25.8%7D~~%3A~~%5Cstackrel%7BBrian%7D%7B43%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20~%5Chfill%20%5Cstackrel%7B%5Ctextit%7BBrian%20get%20this%20much%20more%20than%20Paul%7D%7D%7B43-8.6%5Cimplies%2034.4%7D~%5Chfill)