Answer:
I think the answer is 3.47
Step-by-step explanation:
Terry starts out with 2.25 gallons, and he uses 1.33 so you subtract these so he has .92 gallons left. He adds 4.8 gallons so you add 4.8 to .92 and get 5.72 gallons total in the bucket... If the question is asking how much change between the beginning and end I would say 5.72- 2.25= 3.47
Answer: A. A(1) = 14; A(n) = (n − 1) −4; A(n) = 14 + (n − 1)(−4)
Step-by-step explanation:
Arithmetic sequence is a sequence that is identified by their common difference. Let a be the first term, n be the number of terms and d be the common difference.
For an arithmetic sequence, common difference 'd' is added to the preceding term to get its succeeding term. For example if a is the first term of a sequence, second term will be a+d, third term will give a+d+d and so on to generate sequence of the form,
a, a+d, a+3d, a+4d...
Notice that each new term keep increasing by a common difference 'd'
The nth term of the sequence Tn will therefore give Tn = a+(n-1)d
If the initial (first) term is 14 and common difference is -4, the nth of the sequence will be gotten by substituting a = 14 and d = -4 in the general formula to give;
Tn = 14+(n-1)-4 (which gives the required answer)
Tn = 14-4n+4
Tn = 18-4n
Answer:
Distance = 21 miles.
Step-by-step explanation:
Let x be the distance in miles between the airport and Ann's home.
We have been given that Ann took a taxi home from the airport. The taxi fare was $2.10 per mile. So fare for x miles will be 2.10x.
We are also told that she gave the driver a tip of $5. Ann paid a total of $49.10. This means that fare of x miles and tip given to driver equals $49.10. We can represent this information in an equation as:
Now let us solve our equation.
Therefore, the equation represents the distance in miles between the airport and Ann's home and distance between Ann's home and airport in 21 miles.
Answer:
83.79 kJ
Step-by-step explanation:
The potential energy is the product of weight and height, where weight is in newtons.
PE = Mgh = (190 kg)(9.8 m/s^2)(45 m) = 83,790 J
