The initial height of the balloon is 10 feet which then increases by 70% to (10 ×1.7) = 17 feet, then to (17 × 1.7) =28.9 feet, and so fourth if the rate of increase is kept constant. Therefore, forming a geometric sequence such that to get any term in the sequence we use the formula ar∧(n-1), where a is the first term, r is the common ratio, and n is the term in the sequence. In this case a is 10 and r= 1.7 , to get the height in the fourth minute it means n =5 (for the first term there is 0 minutes, such that for 0 minutes n= 1)
Thus, 10 × 1.7 ∧ 4 = 83.521 feet.
Therefore, the answer is 83.521 feet
Answer: |81-x|<5
Step-by-step explanation:
Given: Temperature of an enclosure for a pet corn snake should be an average of 81° F.
Temperature in the enclosure should not vary by more than 5° F.
Let x= Temperature in the enclosure
Then, difference between average and current temperature should less the 5.
i.e. |81-x|<5 (required absolute value equation )
hence, the absolute value equation could be used to determine the minimum and maximum temperatures recommended for the corn snake enclosure:
|81-x|<5
6:35pm, because 35 minutes before 7:10 pm is 6:35pm :)
Answer:
44
Step-by-step explanation:
use the order of operations
5 (3) 2 + 3 + 11. solve within parenthesis
15 × 2 + 3 + 11. multiply left to right
30 + 3 + 11. multiply left to right
33 + 11. add left to right
44. add
the order of operations is more commonly known as PEMDAS.
(parenthesis, exponents, multiply and divide, add and subtract)
If you are still confused there is a Brain Pop about PEMDAS. just search "order of operations" on the brain pop website
Step-by-step explanation:
this is an integer of the interior comes from into juice