What is the result?

∫([1/x].dx/x^3)
D=[1/2, 1]

Answers

Answer 1
Answer: \displaystyle\int_(.5)^1\frac{1}x(dx)/(x^3)=\int_(.5)^1(dx)/(x^4)=\left[(-1)/(3x^3)\right]_(.5)^1=\frac{7}3

[Your notation is not 100% clear since you're not using the math tool, so if that's not what you meant, leave a comment and I'll correct the answer.]

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1. Refer to the equation 3x − 5y = 15. (a) Create a table of values for at least 4 points. Show your work on how you found the values for each coordinate pair, and validated the points were on the line. Work for Point 1
Work for Point 2
Work for Point 3
Work for Point 4

Answers

Answer:

(0, 3 ), (5, 0), (10, -3), (15, -6)

Step-by-step explanation:

3x − 5y = 15

-5y = 3x + 15

y = -(3)/(5) x + 3

Point 1:  (0, 3 )

  y = -3/5(0) + 3

  y = 0 + 3

  y = 3

 

  Validate:

   3 = -3/5(0) + 3

   3 = 3

Point 2:  (5, 0)

  y = -3/5(5) + 3

  y = -3 + 3

  y = 0

  Validate:

   0 = -3/5(5) + 3

   0 = 0

Point 3:  (10, -3)

  y = -3/5(10) + 3

  y = -6 + 3

  y = -3

  Validate:

   -3 = -3/5(10) + 3

   -3 = -3

Point 4:  (15, -6)

  y = -3/5(15) + 3

  y = -9 + 3

  y = -6

 Validate:

   -6 = -3/5(15) + 3

   -6 = -6

Answer: For this problem, you cannot go over 10! so remember guys you can graph it however you want for example if you wanted to you could do -3/5(-2) + 3 for the first point but you would have to solve it. the next one would be maybe -3/5(-1) + 3 if you wanted to go up by plus one REMEMBER this is your OWN graph so do whichever number order you want it doesn't matter you can increase by 1 or 2 or 3 but the final point shouldn't be over ten or you will get the problem wrong. Good Luck I hope I get an A and I hope you guys get A's as well. Do ur absolute best on this

Can someone please help me with this, marking brainliest and giving 15 points!The distance traveled of a coin dropped from a tall building is modeled by the equation d(t) = 4.9t2 where d equals the distance traveled at time t seconds and t equals the time in seconds. What does the average rate of change of d(t) from t = 3 to t = 6 represent? (2 points)

The coin falls down with an average speed of 132.3 meters per second from 3 seconds to 6 seconds.

The coin falls down with an average speed of 44.1 meters per second from 3 seconds to 6 seconds.

The coin travels an average distance of 132.3 meters from 3 seconds to 6 seconds.

The coin travels an average distance of 44.1 meters from 3 seconds to 6 seconds.

Answers

change in distance = 176.4 - 44.1 = 132.3
change in time = 6 - 3 = 3

The object travels 132.3 meters in 3 seconds

the speed is the ratio of the two values

speed = distance/time
speed = 132.3/3
speed = 44.1 meters per second

This is the average speed of the object from t = 3 to t = 6 seconds. This is equivalent to the slope of the straight line through the two points.

The answer is The coin falls down with an average speed of 44.1 meters per second from 3 seconds to 6 seconds.`

Simplify 7/9 14 (please help)

Answers

the answer is 1/18 i belive bc in the way u asked this is kinda confusing so im sorry if im wrong

Ali and Janet are selling gifts at a local craft show. For every bar of soap that Ali sells, she earns 5$. For every mug that Janet sells, she earns twice as much as Ali. Ali sells 5 bars of sap , and Janet sells 7 mugs. How much money did they earn altogether?

Answers