68 is the 22nd term of the following sequence.
<u>Step-by-step explanation:</u>
- The given sequence is with the same common difference between the two consecutive number in the series thus it is said to be the Arithmetic progression ( AP).
- For finding the nth term in the AP we have a formula tn = a + (n-1) × d
- Here a is the first term , n is the number of the term to be founded and d is the common difference between the two consecutive number in the series.
- Thus here tn = 5 + ( 22 - 1 ) × 3.
- On subtracting we get tn = 5 + (21 ) × 3
- On multiplying we get tn = 5 + 63
- After adding we get tn = 68. It is the 22nd term in the given series.
Answer:
20 fence posts.
Step-by-step explanation:
Calvin is building a fence. The fence will enclose a 100 square foot area, 10 ft wide by 10 ft long. Calvin can put fence posts 2 feet apart.
Now, if he puts a fence post at each corner of the building, then considering each length of the building there will be
posts along each length.
Now, considering each width of the building there will be
posts (excluding the corner posts) along each width.
Therefore, in total there will be (6 + 6 + 4 + 4) = 20 fence post in the total fence. (Answer)
You know each side is 9 meters long, meaning it’s a square. To find perimeter, add up all the sides aka. 9+9+9+9=36. To find the area, multiply one side by the other aka. 9x9 = 81.
Answer:
See below.
Step-by-step explanation:
There are 28 things in the jar, of which 7 are watermelon.
You pick one at random, the chance it is NOT watermelon would be 21/28.
This is equal to 75% and 3/4
The standard form of a quadratic equation is
,
where
,
, and
are coefficients. You want to get the given equation into this form. You can accomplish this by putting all the non-zero values on the left side on the equation.
In this case, the given equation is

Since
is on the right side of the equation, we subtract that from both sides. The resulting equation is

Looking at the standard form equation
, we can see that
