three consecutive integers
the sum of the first two integers is 24 more than the third integer.
This means that the three integers are 25, 26 and 27.
Answer:
The correct answer should be the first option.
Step-by-step explanation:
An arithmetic sequence is a sequence in which the difference between each consecutive term remains same (constant).
The explicit formula for an arithmetic sequence is
, where a is first term of sequence, d is the common difference between consecutive terms.
A) We can see from Julio's swimming distance that it is in arithmetic sequence as after every successive training session Julio's swimming distance increased by 0.30 miles.



Therefore, we can see that Julio's training schedule is an arithmetic sequence.
B) Let us find Julio will take how many days to swim 2.95 miles by using explicit formula.

Let us substitute our given information in above formula.




We are told that Julio swims every two days, this implies that he would swim on alternate days. So he will swim 2.95 miles on 10*2 =20th day.
Let us find 20th day will be which day. As Julio started his training schedule on Tuesday, 20th day will be a Sunday. Therefore, Julio will swim for 2.95 miles on a Sunday.
Answer:
Hydrostatic Force = 35.28KN
Step-by-step explanation:
To solve this question, let's consider integrating the hydrostatic force from the top of the triangle to the bottom.
Formula for a thin horizontal slice of the triangle the force is;
δF=ρgxwδx
Where w is width of triangle; ρ is density of water and g is acceleration due to gravity
At depth x, the width of the triangle is w=2/3x.
Thus, F = (3,0)∫)ρgxwδx
=(2/3)ρg[(3,0)∫)x²δx]
= integrating, we have;
F = (2/3)ρg[(3³/3) - (0³/3)]
F = (2/5)ρg [27/3] = (2/5)(1000)(9.8)(9) = 35280 N = 35.28 KN