A. -17.1
the minus sign makes the first number a negative, and a negative plus a negative you add normally but put a negative sign in your answer
The image is blank so I cant help you
Answer:
A) The expression is given by
.
B) The remaining butterflies after Ellen captures 7 butterflies is 41.
Step-by-step explanation:
A) As the number of butterflies keeps doubling every minute so the repeating number is 2 thus we use the term
where n given the number of minutes passed.
Initially there were 3 butterflies on the screen so we multiply the term
with the initial number of butterflies
. So the expression becomes:
![Number \of\ Butterflies\ after\ n\ minutes = 3*2^n](https://tex.z-dn.net/?f=Number%20%5Cof%5C%20Butterflies%5C%20after%5C%20n%5C%20minutes%20%3D%203%2A2%5En)
B) After 4 minutes Ellen captures 7 butterflies from the total, So we subtract the term 7 from the number of butterflies we calculated through the expression.
![Number \of\ Butterflies\ after\ n\ minutes = 3*2^n](https://tex.z-dn.net/?f=Number%20%5Cof%5C%20Butterflies%5C%20after%5C%20n%5C%20minutes%20%3D%203%2A2%5En)
So, after 4 minutes
![Number \of\ Butterflies\ after\ 4\ minutes = 3*(2)^4](https://tex.z-dn.net/?f=Number%20%5Cof%5C%20Butterflies%5C%20after%5C%204%5C%20minutes%20%3D%203%2A%282%29%5E4)
![Number \of\ Butterflies\ after\ 4\ minutes = 3*(16)](https://tex.z-dn.net/?f=Number%20%5Cof%5C%20Butterflies%5C%20after%5C%204%5C%20minutes%20%3D%203%2A%2816%29)
![Number \of\ Butterflies\ after\ 4\ minutes = 48](https://tex.z-dn.net/?f=Number%20%5Cof%5C%20Butterflies%5C%20after%5C%204%5C%20minutes%20%3D%2048)
As Ellen has captured 7 butterflies, So:
![Number \of\ Butterflies\ remaining = 48-7](https://tex.z-dn.net/?f=Number%20%5Cof%5C%20Butterflies%5C%20remaining%20%3D%2048-7)
![Number \of\ Butterflies\ remaining = 41](https://tex.z-dn.net/?f=Number%20%5Cof%5C%20Butterflies%5C%20remaining%20%3D%2041)
Answer:
A. 19 cm 14 cm 7 cm
Step-by-step explanation:
In order to make a triangle by given side measurements, sum of any two side lengths must always be greater than the length of the remaining side.
(1) 19 + 14 > 7
(2) 14 + 7 > 19
(3) 7 + 19 > 14