The velocity of a particle on a line at time t is v=5t^2/3+6t. How many meters did the particle travel from t=1 and t=8?

D) 282

Step-by-step explanation:

Step 1: Write out the integral

Step 2: Find the anti-derivative for each term starting with . To do this you add one to and multiply 5 by the reciprocal of that number. Then you do the same to 6t. It should equal this:

Step 3: Simplify

Step 4: Solve the definite integral

Step 5: 282 would be your answer!

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1