1. What is the significance of the ecliptic? Why are the sun, the moon, and the planets only found near the ecliptic?
2. What is the difference between a constellation and asterisk? Give two examples of each

Find a linearization at a suitably chosen integer near a at which the given function and its derivative are easy to evaluate.f(x)=7e^(−x), a = −0.1

Set the center of the linearization as x=0.

1. Geologists predict that non-renewable fuel sources like oil will be depleted in the near future due to overuse. Economists tend to disagree with this viewpoint. Explain the logic behind the economist’s viewpoint.

1) List and explain some ways for one to improve their personal cash flow situation by increasing their net cash flows or to reducing their cash flows (if possible) in the near future. Be realistic.

The wastewater treatment plant will also treat wastewater originating from the industrial activity of pulp and paper in the near future. Proposed and describe appropriate unit processes that can be added to the plant.

A parallel plate capacitor is composed of two parallel plates of aluminium foil, each with a surface area of 2.5 m2 that are separated by 2.0 mm The foils are then oppositely charged with 5 mC of charge.

a) what is the electric field between and outside of the capacitor near its middle ?

b) If a dust particle (m = 0.5 ng) picks up 10,000 electrons and finds itself right near the negatively charge plate, what is its KE (in J and eV) after it moves to the positive plate?

c) how long does it take the dust particle to get to the positive plate ?

d) what will its speed be when it gets to the positive plate ?

5. The National Cancer Institute conducted a 2-year study to determine whether cancer death rates for areas near nuclear power plants are higher than for areas without nuclear facilities. A spokesperson for the Cancer Institute said, "From the data at hand, there was no convincing evidence of any increased risk of death from any of the cancers surveyed due to living near nuclear facilities.” (1 points for each)   

1. Let p denote the proportion of the population in areas near nuclear power plants who die of cancer during a given year. The researchers at the Cancer Institute have considered the null and alternative hypotheses below:

H₀: p = value for areas without nuclear facilities

H_a: p > value for areas without nuclear facilities

According to the spokesperson’s statement, what is the conclusion of the National Cancer Institute? Select one of the following:

Reject H₀                          Fail to reject H₀                                         Reject H_a                          Fail to reject H_a

2. If the National Cancer Institute researchers were incorrect in their conclusion that there is no increased cancer risk associated with living near a nuclear power plant, are they making a Type I or a Type II error? Read carefully and select one of the following:

1. A Type II error, if the researchers were incorrect in their conclusion this would be rejecting the null hypothesis when the null hypothesis is true.
2. A Type I error, if the researchers were incorrect in their conclusion this would be failing to reject the null hypothesis when the null hypothesis is true.
3. A Type II error, if the researchers were incorrect in their conclusion this would be failing to reject the null hypothesis when the null hypothesis is false.
4. A Type I error, if the researchers were incorrect in their conclusion this would be rejecting the null hypothesis when the null hypothesis is false.

When we talk about Physics (Einstein's) laws we use notions of distance and velocity. Take for example objects A and B. In A's base at specific moment of time there's definite distance to B and definite B's velocity.

But if there's a short wormhole staring near A and ending near B there's no more definite distance. There're actually two distances from A to B - e.g. long and short.

If the B's end of wormhole moves at B's speed (in A's base) then there're also two B's velocities - one normal and one equal to zero measured via wormhole.

Doesn't that mean that notions of distance and velocity are incorrect in the space with wormholes, i.e. multiconnected space?

== UPDATE ===========================================

It seems that I should reformulate my question in a more strict way.

There're two relativity point objects A and B. There's also a wormhole W.

First wormhole mouth Wa is near A and is connected to A. Second mouth Wb is near B and it is moving together with B at B's speed in A's base. But the wormhole length (the distance between Wa and Wb measured through wormhole) is constant.

Now in A's base we have some relativity formulas for B's energy, time shift, etc. In these formulas we put Vb - B's velocity in A's base.

The question is: how do we measure Vb to use in the formulas?

There're two ways:

1. We measure Vb in ordinary way out of wormhole. In this case Vb have some large value.

2. We measure Vb through the wormhole. In this case Vb is equal to 0.

Which value should we use in the formulas?

Preston Concrete is a major supplier of concrete to residential and commercial builders in the Pacific Northwest. The company's general pricing policy is to set prices at $128 per cubic yard. Deliveries for 2019 were 380,000 cubic yards, and total costs were:

$4,218,000 of the estimated total yard operation costs were variable, and all of the administrative costs were fixed. In addition to the costs above, estimated fixed delivery costs were $190,000 for the year, and estimated variable delivery costs were $6.00 per mile and $42.50 per truck hour. The rate per mile reflects the fact that more miles result in more gas, oil, and maintenance. The rate per truck hour reflects the fact that trucks that are waiting at a jobsite are kept running (so the concrete mix won't solidify), and drivers continue to get paid during that time.

Near the end of 2019, Fairview Construction Company asked for a delivery of 4,600 cubic yards of concrete but was unwilling to pay the regular price; it was only willing to pay $82 per cubic yard. Preston estimated that the job would require 7,200 miles of driving and 290 truck hours. The housing market in the Pacific Northwest had slowed during recent months, leaving Preston with enough capacity to fill the order, but its sales manager was reluctant to commit to such a reduced price.

REQUIRED

If Preston accepted the offer, what would the profit or loss be (enter a loss as a negative number)?