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<span>the change in the amount of water in the pitcher is</span>5/8 cup
Answer:
-7, -8 , -9 and -10 are such four integers.
Step-by-step explanation:
Let the first integer = k
So, the next three consecutive integers are ( k+1), ((k + 1) + 1) and (((k + 1) + 1) +1)
or, k , (k +1), (k +2) and (k +3) are four consecutive integers.
Now, their sum is -34.
⇒k + (k +1) + (k +2) + (k +3) = -34
or, 4k + 6 = -34
or, 4k = - 34 - 6 = -40
⇒ k = -40/ 4 = -10
Hence, the first integer k = -10
The next integer = k + 1 = -10 + 1 = -9
Similarly next two integers are -8 and - 7.
So -7, -8 , -9 and -10 are such four integers.
Answer:
6 minutes
Step-by-step explanation:
'a' in the formula represents altitude in feet. You are told the altitude is 21000 feet, so put that into the formula:
21000 = 3400t +600
You can solve this for t:
20400 = 3400t . . . . . subtract 600 from both sides
6 = t . . . . . . . . . . . . . . . divide both sides by 3400
The problem statement tells you that t represents minutes after lift off, so this solution means the altitude is 21000 feet 6 minutes after lift off.
The question is asking for the number of minutes after lift off that the plane reaches an altitude of 21000 feet, so this answers the question directly:
The plane is at an altitude of 21000 feet 6 minutes after lift off.
