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The stop-board of a shot-put circle is a circular arc 1.22 m in length. The radius of the circle is 1.06 m. What is the central angle?
Suppose instead that the signal is being broadcast from the other side of the Milky Way Galaxy, about 70000 light-years away. How large a radio telescope would we need to detect this signal?
Let G be k-critical graph with respect to vertex-arboricity (k>=3). Prove that for each vertex v of G, the graph G-v is not (k-1)-critical with respect to vertex-arboricity.
Evaluate the integral ∫01 ∫0√1-x2 ∫√x2+y2√2-x2-y2 xy dz dy dx by changing to spherical coordinates. Evaluate the integral ∫∫∫E(x2 + y2) dV where E is the part of the sphere x2 + y2+z2 = 1 above the xy-plane.
The tank shown below is full of water. Using the fact that the density of water is 1000kg/m3, find the work (in joules) required to pump the water out of the outlet.
What was the final price (include cost of freight) of the living room set? (Round your answer to 2 decimal places. Omit the "tiny_mce_markerquot; sign in your response.)
Your company's activities on the Internet and any ideas you may have for additional strategic opportunities they might explore in this medium. Apply critical thinking: how these initiatives help to create or destroy economic value in terms of comp..
Maximizing the Sustainable Yield, A lake has a carrying capacity of 10,000 fish. At the current level of fishing, 2000 fish per year are taken and the fish population seems to hold fairly steady at about 4000.
The citizens of a certain community were asked to choose their favorite pet. The pie chart below shows the distribution of the citizens'' answers. If there are 75,000 citizens in the community, how many chose Fish or Cats
Choose two data sets from the list. For each, state whether the data would be better represented as a bar graph, a stem and leaf plot, a frequency polygon, a pie chart, a time series chart, or a scatter plot.
Verify Stoke's theorem where S is the surface of the paraboloid 2z=x2 + y bounded by z=2 and C is its boundary.
Think about the processes involved in producing this textbook. Describe these processes, considering all the steps of production from an economic perspective. What inputs were required? What waste was generated?
an equation is given. enter your answers as a comma-separated list. let k be any integer. round terms to three decimal
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