Answer: 4030
Step-by-step explanation:
We know that sum of an arithmetic series with first term as 'a' and the last term as 'l' is given by :-
, where n is the number of terms
In the given situation, the number of terms = 52
The first term = 1
The 52th term = 154
Then the sum of 52 terms ids given by :-
Hence, the sum of the series =4030
Answer: 8a^2 + 2c^2 - 2c
Step-by-step explanation: It is a simple addition between 6a^2+2a^2. The other terms remain the same.
To understand the problem, let's first draw a free body diagram of the forces exerted by Judy and Ike on the truck. (Refer to the left side of the attachment).
To solve for the resultant, we just use the tip-to-tail method. This is illustrated on the right side of the attachment.
We can see that the tip-to-tail method forms a right triangle thus we can just apply the Pythagorean theorem in solving for Ike's force.
ANSWER: Ike must pull the truck with a force of 16.0 N.
You're so pointless ... duh XD
The way you should go about solving this really depends on how your teacher taught you...However, here's what I would recommend...
You know that 1/2 an hour is equal to 30 minutes, and 3/4 of an hour is equal to 45 minutes.
Using this you can then solve for how many pages she read per minute by dividing the number of pages read by the number of minutes read:11 pages/ 30 minutes to give you Monday's reading speed,and18 pages/ 45 minutes to give you Tuesday's reading speed.
Next, to calculate a percentage increase you need to do the following:
1. Determine the difference between the speeds (this means you will subtract Monday's reading speed from Tuesday's reading speed.)
2. Next you take that number and divide it by Monday's reading speed.
3. Multiply that answer by 100 to get the percentage.
I'm not going to tell you the speeds, as you should try to attempt to solve it by yourself, and I'm sure you need to show your work. I will however tell you that you should find there was a 3.3% increase from Monday to Tuesday.
If you need more help, let me know!
