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Find the distance between the pair of points (6. - 22) and (1. - 23) The distance is Suppose that the path of a newly discovered comet could be modeled by using one branch of the equation x2/4 - y2/9=1, where distances are measured in astronomical units. Name the vertices of the hyperbola and then graph the hyperbola. Find the perimeter and area of the rectangle.20 ft7 ftThe perimeter isft and the area is B) Now imagine that a hurricane has deposited large patches of light colored sand among therocks. Use the axes below to sketch how you think your graph from part A would change underthese new conditions. What type of selection is acting under these new conditions? what are the possible effects of discrimination? a baker made 192 trays of muffins. they were 14 muffins in each tray. how many muffins were there in all? Don uses a funnel to pour oil into his car engine. The funnel has a radius of 6 cm and a slant height of 10 cm. How much oil, to the nearest cubic centimeter, will the funnel hold. Can someone please help me with Systems of Equation. If so please comment here and friend me at fmilluzionz#1521. I am in 8th grade math give evidence that people who look at their phones every minute never have a good relationship give up to 2 statements as to why Please help Ill mark you as brainliest if correct! 28. In the course of the poem, the speaker displayseach of the following emotions EXCEPT(A) frustration(B) jealousy(C) uncertainty(D) impatience(E) defensiveness Wayne Gretsky scored a Poisson mean six number of points per game. sixty percent of these were goals and forty percent were assists (each is worth one point). Suppose he is paid a bonus of 3K for a goal and 1K for an assist. (a) Find the mean and standard deviation for the total revenue he earns per game. (b) What is the probability that he has four goals and two assists in one game How does development of large buildings, parking lots and highways harm the environment?A. Building large developments increases use of good farming practices.B. Development adds plants in the form of landscape.C. Paving prevents water from soaking into soil and refilling underground water supplies.D. Development increases land available for farmland. is 1 5/6 a rational number or a iraarational Suppose that $10,083 is invested at an interest rate of 6.8% per year, compounded continuously.a) Find the exponential function that describes the amount in the account after time t, in years.b) What is the balance after 1 year? 2 years? 5 years? 10 years?c) What is the doubling time? what are the differences between ligaments & tendons write a real world problem that could be represented by 1/5 x 5 = 1 Write the function in the form f(x) = (x k)q(x) + r for the given value of k. F(x) = x3 x2 18x + 19, k = 4 f(x) = Demonstrate that f(k) = r. F(4) = 8. An electric force F exists between two objects, both having thecharge, q. If the charge on one object is doubled to 2q, the forcebetween the objects becomesA. 1/4 FB. 1/2 FC. 2FD. 4F write a one-page sexually transmitted diseases