Answer:
-1
Step-by-step explanation:
1. Substitute n with 6 because n=6
2. Then you simply solve both sides so (6-6)-(5-6) because n=6
3.so then you get the absolute value of 0 subtracted by the absolute values of -1
4. So because all absolute values change it to positive you get 0-1 instead of 0- - 1
5. So the final answer is -1
Sorry if this was confusing, I’m really bad at explaining. :)
Step-by-step explanation:
Given an expression that represents a submarine that began at a depth of 15 feet below sea level and ascended at a rate of feet per minute is as follows :
-320+15y
We need to find the depth of submarine after 15 minutes.
Put y = 15 in the above expression.
-320+15y = -320+15(15)
= -320 + 225
= -95
Hence, the submarine is below sea level at 95 feet.
Answer:
The linear function that discribes the size of the population in function of the t in years is p = 700t - 1,397,300
Step-by-step explanation:
A linear function is defined by a line, so in order to determine the linear function we can use the two points that were given to us to create a line equation and use that as our linear function. The points given to us were (2009; 9000) and (2014; 12500), in this case the year is our value of "x" and the size of the population is our value of "y". The first step is to find the slope of the line which is given by:
m = (y2 - y1)/(x2 - x1)
m = (12500 -9000)/(2014 - 2009) = 3500/5 = 700
Then we can use the slope and the first point to build the equation:
p - 9000 = 700*(t - 2009)
p = 700t - 1406300 + 9000
p = 700t - 1397300
Answer:
h
Step-by-step explanation:
!!!!!!!!!!!!!:))))))))))))))))))
Tom started with total 72 chocolate wafers.
<u><em>Explanation</em></u>
The number of chocolate wafers taken by 8 members of the baseball team are in the sequence : 
The above sequence is <u>arithmetic sequence</u> with first term(a₁)= 1 and common difference (d) = 2
<u>Formula for Sum</u> of first
terms in arithmetic sequence is....
![S_{n}= \frac{n}{2}[2a_{1}+(n-1)d]](https://tex.z-dn.net/?f=S_%7Bn%7D%3D%20%5Cfrac%7Bn%7D%7B2%7D%5B2a_%7B1%7D%2B%28n-1%29d%5D)
So, the Sum of 8 terms in that sequence....
![S_{8}= \frac{8}{2}[2(1)+(8-1)(2)]\\ \\ S_{8}= 4[2+7(2)]\\ \\ S_{8}=4(2+14)\\ \\ S_{8}=4(16)=64](https://tex.z-dn.net/?f=S_%7B8%7D%3D%20%5Cfrac%7B8%7D%7B2%7D%5B2%281%29%2B%288-1%29%282%29%5D%5C%5C%20%5C%5C%20S_%7B8%7D%3D%204%5B2%2B7%282%29%5D%5C%5C%20%5C%5C%20S_%7B8%7D%3D4%282%2B14%29%5C%5C%20%5C%5C%20S_%7B8%7D%3D4%2816%29%3D64)
That means, the total number of chocolate wafers taken by the baseball team members is 64. Tom ate 5 and then gave his brother 3 chocolate wafers at first.
So, the total number of chocolate wafers at starting 