First term: a1 = 151
common difference: d = -14 (we decrease by 14 each time, eg, 151-14 = 137)
nth term of this arithmetic sequence is...
an = a1+d(n-1)
an = 151+(-14)(n-1)
an = 151-14n+14
an = -14n+165
This will be used in the formula below
Sn = n*(a1+an)/2
<span>Sn = n*(151+(-14n+165))/2
</span><span>S26 = 26*(151+(-14*26+165))/2 ... replace every n with 26
</span>S26 = -624
The final answer here is choice C) -624
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Answer:
Step-by-step explanation:
Volume of the aquarium is approximately 150 cubic feet and its height is 3 feet.
<u>The base area is:</u>
<u>The answer options:</u>
- A. 4 ft x 12 ft = 48 sq ft < 50sq ft, <u>no</u>
- B. 5 ft x 12 ft = 60 sq ft > 50 sq ft, <u>yes</u>
- C. 6 ft x 7 ft = 42 sq ft < 50 sq ft, <u>no</u>
- D. 10 ft x 15 ft = 150 sq ft > 50 ft,<u> no as too big</u>
Answer:
The frequency of the car is 0.0233743 laps/sec and 1.4024 laps were completed in 60 seconds
Since you're trying to find the side lenghts of a square, all we need to do is square root the area. So, the square root of 4 (the area) is 2.
So, all of the sides of the square are 2 meters long.
