If submarine is at the surface (the initial position) and then dives 375 ft, the coordinate of submarine becomes -375 ft <span>relatively to the initial position. When the submarine dives another 175 ft down, the coordinate of submarine becomes -375-175=-550 ft relatively to the initial position.
</span>
Answer: Correct choice is A.
<span />
Answer:
No, they need $138.76 more
Step-by-step explanation:
April:
10% of $125 = 12.5
12.5 x 2 = 25
$125 + $25 = $150
May:
10% of $150 = $15
$15 x 2 = $30
$150 + $30 = $180 (180 is 20% more than 150)
June:
10% of $180 = $18
$18 x 2 = $36
$180 + $36 = $216
July:
10% of $216 = $21.60
$21.60 x 2 = $43.20
$216 + $43.20 = $259.20
August:
10% of $259.20 = $25.92
$25.92 x 2 = $51.84
$259.20 + $51.84 = $311.04
$125 + $150 + $180 + $216 + £259.20 + $311.04 = $1241.24
$1380 - $1241.24 = $138.76
Answer:
Step-by-step explanation:
<u>We observe the pattern:</u>
<u>It can be put as:</u>
- 0 + 1, 1 + 4, 4 + 9, 9 + 16, ..
or
- 0² + 1², 1² + 2², 2² + 3², 3² + 4², ..
<u>The nth term is going to be:</u>
<u>The sum of the 31 terms will be:</u>
- N = 0² + 1² + 1² + 2² + 2² + 3² + 3² + ... + 30² + 30² + 31²
or
- N = 2(1² + 2² + 3² + ... + 30²) + 31²
<u>Use the formula for sum of the first n squares:</u>
- 1² + 2² + 3² + ... + n² = n(n + 1)(2n + 1)/6
<u>The sum N equals:</u>
- N = 2(30*31*61)/6 + 31² = 10*31*61 + 31²
<u>And the value of N/31 is:</u>
Let the number be x, twice the number wil be 2*x=2x, minus 4, 2x-4=16, collect like terms, 2x=16+4, 2x=20, divide both sides by 2 x=10
I'm sure you have seen or used a compass already. The pivot point is the needle part. It is called as such because it is the point where the compass turns so that the movie end of the other leg of the compass can make arcs.
As you create a circle using a compass, that same distance between the two legs of the compass is the radius of the circle. By definition, a circle is a round two-dimensional figure that is composed of a series of points that is equidistant to a fixed point inside the circle. That point is called the center of the circle represented by the pivot or needle part. The equal distance of all the points along the circumference is the radius.
