Answer:
Step-by-step explanation:
We observe that the difference of terms is 4, 7 and 15 and next level difference is 4. It means the sequence is quadratic.
<u>We can compare this with simple quadratic sequence </u>
<u>and find out that doubling each term gives us </u>
This is close to our sequence, write the terms as follows to find exact rule
<u>The first term: </u>
- a₁ = 4 = 2*1² + 2 = 2*1² + 1 + 1
<u>The second term</u>
- a₂ = 11 = 2*2² + 3 = 2*2² + 2 + 1
<u>The third term:</u>
- a₃ = 22 = 2*3² + 4 = 2*3² + 3 + 1
<u>The fourth term:</u>
- a₄ = 37 = 2*4² + 5 = 2*4² + 4 + 1
<u>The nth term as per observation above is:</u>
Answer:
The surface area is 
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The surface area of a triangular prism is equal to
where
B is the area of the triangular base
P is the perimeter of the triangular face
H is the height of the prism
<em>Find the area of the base B</em>
<em>Find the perimeter of the base P</em>
we have
substitute the values
The surface area is
Answer:
R-squared is a statistical measure of how close the data are to the fitted regression line.
Step-by-step explanation:
It is also known as the coefficient of determination, or the coefficient of multiple determination for multiple regression. ... 100% indicates that the model explains all the variability of the response data around its mean.
Answer:
4 full buckets
Step-by-step explanation:
there are 4 quarts in a gallon, but it only holds 3. 12 divided by 3 is 4.
Hope it helped!
Answer:
5 + 25 + 75 = 105 dollars
Step-by-step explanation:
The easiest way is to just take this day by day.
day 1: 5 dollars
day 2: day1^2 = 5^2 = 25
day 3: 3 * day2 = 3 * 25 = 75
Then sum them: 5 + 25 + 75
