Step-by-step explanation:
(3X-20)+(3X+5)=111(( SINCE 111 IS TOTAL ANGLE
6X-15=111
6X=126
X=21
EFG=3×21-20
=63-20=43
Maximum and minimum turning points at (-2|33); (0.4|0.928)
Inflection points at (-1.472|21.195); (0|1); (0.272|0.957)
Andrew answered 34 questions correctly.
I got the answer by divided the 85% by 100% (100% because it's the total percentage.) I received 0.85 when dividing that. Then, I took the 0.85 and divided it by the total of 40 questions, and that gave me the answer of 34.
Answer: Time taken by him in going = 8 hours
Time taken by him in returning = 9 hours
Step-by-step explanation:
Let the total distance from home to New York is x miles,
Also, he drove his car from his home to New York at the rate of 45 mph,
⇒ 
And, returned over the same road at the rate of 40 mph.
⇒ 
According to the question,
Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours, ( 1 hours = 60 minutes )
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Hence, the total distance from home to New York = x miles = 360 miles
⇒
⇒
The correct answer is C
Sigma Notation is when we take all of the whole numbers between the starting point (which can be found as the number under the sigma sign) and the end number (which can be found above the sigma sign). Therefore, we will add together all of the values of 3k + 2 for when k is equal to all of the numbers between 2 and 7. So, let's evaluate each one first.
When k = 2
3(2) + 2 = 8
When k = 3
3(3) + 2 = 11
When k = 4
3(4) + 2 = 14
When k = 5
3(5) + 2 = 17
When k = 6
3(6) + 2 = 20
When k = 7
3(7) + 2 = 23
So we know we have the following.
8 + 11 + 14 + 17 + 20 + 23
Now for the number after the comma, we are just looking for the answer of them all added together. So the final answer should be
8 + 11 + 14 + 17 + 20 + 23, 93
