Answer:
2n + 11
Step-by-step explanation:
You can combine 4n and -2n.
You get 2n + 11
Answer:
The work done is 202.50Nm
Step-by-step explanation:
Given



Required
The work done
First, we calculate the spring constant (k)




So:


The work done using Hooke's law is:

This gives:

Rewrite as:

Integrate

This gives:




Convert to Nm


Answer:
d = 3.5t + 1
Step-by-step explanation:
The linear function would have to multiply the speed she runs at the track by the number of hours that she spent running. Then it should add this amount to the 1 mile that she walked to get to the track. If we use the variable d as the total distance that she ran and walked, and the variable t to represent time then we would create the following linear function/model.
d = 3.5t + 1
The question is asking you to organize the data in line plot form. to do so you must create a number line (which in this case is provided for you) and put X's above the numbers. for example lets say your given the following data :
1, 2 ,2 , 4 , 1 , 3 , 2 , 5
this is how you would graph it in line plot form
x . x
x . x . x . x . x
_________________________________________
1 . . . 2 . 3 . 4 . 5
but in your case not al the numbers listed are on the plot so instead you do this:
x . x
x . x . x . x . x
___________________________________
1 . 3 . 5 .
plot as if the numbers are there. ( as usual spacing is important)
Answer:
3 × 4/9
Step-by-step explanation:
Remember that 4/4 is equal to 1, so 3 × 4/4 = 3
15 is bigger than 8, so we know that 15/8 is equal to 1 point something, you can find out the answer by a simple division, once you know the answer (1.875), you multiply it by 3, and get 5.625, this is larger than 3 so it is not the answer.
4 is smaller than 9, so we know that 4/9 is equal to 0 point something, again, we divide and get 0.444..., now we know that multypling something by 0 pint something is almost the same as dividing, so we can that this result is less than 3 (its 1.333).
1 and 1/8 is a mixed fraction so we know it is larger than 1, meaning that if we multiply it by 3, we will get a number larger than 3 (3.375)