Answer:
option 3, double the height and with of original bottle
Answer: 11,440 ft change in altitude
Step-by-step explanation: To do this equation, you first need to find a positive number that is high enough to reach positive 11,100. Because we are not starting at zero on the number line and are instead starting at negative 340, the number will be a little higher than 11,100. The simplest way to find the answer is by changing negative 340 to a positive value and adding it to positive 11,100. This should equal 11,440 To prove this, grab a calculator and add 11,440 to negative 340. To make 340 a negative integer, type in that number and then click the button that looks like this, +/_ Once you have added 11,440 to negative 340, the sum of the two integers should pop up as 11,100 on your calculator. The final and correct answer is equivalent to a 11,440-foot change in altitude.
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Answer:
y=1/3x-2
Step-by-step explanation:
Plot a point at x=-2 and then for the slope (1/3, rise/run) count up 1 and over 3 starting from -2. This is a line. Y intercept at -2 and x intercept at 6.
Answer:
-1
Step-by-step explanation:
We know that i^4 is equal to one so what you do is divide by 4 and the remainder is your simplified version
In this case the remainder is two which means taht i^82 = i^2 = -1
Answer:
Divisible by 3 is the answer
Step-by-step explanation:
First get everything to have the same base of 5
25^11 - 5^19
(5^2)^11 - 5^19
5^(2*11) - 5^19
5^22 - 5^19
Now factor out the GCF 5^19 to get
5^22 - 5^19
5^(19+3) - 5^(19+0)
5^19*5^3 - 5^19*5^0
5^19(5^3 - 5^0)
5^19(125 - 1)
5^19*(124)
At this point, we factor the 124 into 31*4 to end up with this full factorization: 5^19*31*4
Therefore, 25^11 - 5^19 is equivalent to 5^19*31*4
Since 31 is a factor of the original expression, this means the original expression is divisible by 31.
