(a) assume the equation x = at3 + bt describes the motion of a particular object, with x having the dimension of length and t having the dimension of time. determine the dimensions of the constants a and b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.)

The dimension of A is L/T^3 and the dimension of B is L/T

Step-by-step explanation:

We can write the equation but just in terms of its dimensions and work with dimension analysis to find the dimensions of the constants.

Writing the dimensions equation.

For the given equation

We can write

We can then replace the dimensions where x is a length dimension which means and t has a time dimension, , so we get

Since we are adding terms on the right side both terms must have the same dimension. That means we have

And

Finding the dimensions of A and B

We can finally solve for the dimensions of each.

For A we have

Solving for [A] will give us

Solving for [B]

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,