2n² + n + 1
<u>Explanation:</u>
The sequence is 4, 11, 22, 37
Difference between: 7, 11, 15
The first differences are 7, 11, 15, and the second differences are 4.
Since half of 4 is 2, then the first term will be 2n^2.
Subtracting 2n² from the sequence gives 2, 3, 4, 5 which has nth term n + 1.
Therefore the final answer is 2n² + n + 1
If we are drawing altitude from R the PQ will be base of this triangle. So we can say Median from R will cut on Midpoint of PQ. So firstly we will find mid point of PQ Which is S given as below:
P(4,-1) , Q (-2,7)
Let Co-ordinate of S is (x,y)
So
So midpoint of PQ is S(1,3).
Now we can find equation of RS
Co-ordinate of R is (9,9) and and S is (1,3).
In general equation of line from two point
and
is
So equation of RS is
So the equation of median is 6x - 8y = -66
Answer:
24 minutes, 2:36 pm
Step-by-step explanation:
As working with hours is difficult because it does not use decimal system, lets work with minutes, not hours.
So, the clock is set to work normal at 3:00 pm and we need to get the minutes lost three days after. We know that, as 1 day has 24 hs, 3 days have 72 hours. Then, as our clock loses 2m after every 6 hs, we need to see how many 6hs are there in 72 hs. We do this bt dividing 72 by 6:
72/6 = 12
So, in 72 hours we will have 12 periods of 6hs. As our clock loses 2m after every 6 hs, in 3 days we will lose 2m 12 times. This is:
12 * 2 = 24
The clock loses 24 minutes.
Now we need to see the time it will read.
If there were no problems, the clock should read 3:00 pm after 3 days (72hs). But, as it lost 24 minutes, it will read 2:36 pm, it is, 24 minutes before 3:00 pm.
Answer:
Yes, Kristin will have 2 jelly beans left
Step-by-step explanation:
Total jelly beans = 1,856
Total jars = 3
Kristin is filling 3 jars with jellybeans
She wants to split them evenly between the jars, will Kristin have any jellybeans left over?
Jellybeans in a jar = total jellybeans / total jar
= 1,856 / 3
= 618 remainder 2
Yes, Kristin will have jelly beans left
Kristin will have 2 jellybeans left
Check:
618 × 3 = 1,854
Remaining jellybeans = 1,856 - 1,854
= 2 jellybeans
The answer should be B. Hope this helped
