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Astrology, that unlikely and vague pseudoscience, makes much of the position of the planets at the moment of ones birth. The only known force that a planet could exerts on us is gravitational, so if there is anything to astrology we should expect this force to be significant.Required:a. Calculate the gravitational force, in Newtons, exerted on a4.1kgbaby by a120kgfather who is a distance of0.18maway at the time of its birth.b. Calculate the force on the baby, in Newtons, due to Jupiter (the largest planet, which has a mass of1.9010^27kg if it is at its closest distance to Earth,6.2910^11maway.c. What is the ratio of the force of the father on the baby to the force of Jupiter on the baby? A car can travel 45 miles on 2 gallons of gasoline. How far can it travel on 5.6gallons? An Undergraduate Study Committee of 6 members at a major university is to be formed from a pool of faculty of 18 men and 6 women. If the committee members are chosen randomly, what is the probability that precisely half of the members will be women? You are going discount shopping for some new sweaters, T-shirts, and pants. Sweaters (s) cost $5, T-shirts (t) cost $8, and pants (p) cost $2. What algebraic expression models the total cost of clothes that you buy?Suppose you bought 24 sweaters, 6 T-shirts, and 17 pairs of pants. How much did you spend? In the long run, profits in a monopolistically competitive market are zero because: a. of government regulations. b. of collusion. c. firms are free to enter and exit the market. d. firms produce a differentiated product. Select the correct answer. What is the domain of the function represented by this graph? An equilateral triangle has an altitude of 4.8in. What are the length of the sides? Round to the nearest tenth. This passage from chapter 4 of The Story of My Life is an example of whchstage of plot?The most important day I remember in all my life is the oneon which my teacher, Anne Mansfield Sullivan, came tome. I am filled with wonder when I consider theimmeasurable contrasts between the two lives which itconnects. It was the third of March, 1887, three monthsbefore I was seven years old.O A. ConflictO B. ExpositionO c. ClimaxO D. Conclusion Please answer this correctly without making mistakes I want Genius,ace and expert people to answer this correctly Immediately outside a conducting sphere(i.e. on the surface) of unknown charge Q and radius R the electric potential is 190 V, and 10.0 cm further from the sphere, the potential is 140 V. What is the magnitude of the charge Q on the sphere 3. Factor the expression.d2 + 120 + 36A (d + 6)2B (d - 36)(0 - 1)OC (d - 6)2D (d + 6)(d - 6) What device is used in the statement The crowd roared in the final paragraph?a.) alliteration b.) onomatopoeia c.) personification d.) simile A chemistry student in lab needs to fill a temperature-control tank with water. The tank measures 24.0 cm long by 21.0 cm wide by 13.0 cm deep.In addition, as shown in the sketch below, the student needs to allow 2.0 cm between the top of the tank and the top of the water, and a round-bottom flaskwith a diameter of 10.5 cm will be just barely submerged in the water.Calculate the volume of water in liters which the student needs. Round your answer to the nearest 0.1 L. ol.2 cmMflaskOL6water The manager of a coffee shop wants to know if his customers drink preferences have changed in the past year. He knows that last year the preferences followed the following proportions 34% Americano, 21% Cappuccino, 14% Espresso, 11% Latte, 10% Macchiato, 10% Other. In a random sample of 450 customers, he finds that 115 ordered Americanos, 88 ordered Cappuccinos, 69 ordered Espressos, 59 ordered Lattes, 44 ordered Macchiatos, and the rest ordered something in the Other category. Run a Goodness of Fit test to determine whether or not drink preferences have changed at his coffee shop. Use a 0.05 level of significance. AmericanosCapp.EspressoLattesMacchiatosOther Observed Counts1158869594475 Expected Counts15394.56349.54545 Enter the p-value - round to 5 decimal places. Make sure you put a 0 in front of the decimal. P-value = What are the key traits of fascism? Please help ASAP :{ jhjkhybblvklmmm Empathy is challenging for many because it doesnt ____ But It does___ A boxcar at a rail yard is set into motion at the top of a hump. The car rolls down quietly and without friction onto a straight, level track where it couples with a flatcar of smaller mass, originally at rest, so that the two cars then roll together without friction. Consider the two cars as a system from the moment of release of the boxcar until both are rolling together. (a) is the mechanical energy of the system conserved? (b) is the momentum of this system conserved? What is the conjugate of 3+3i? what is the product? (4x)(-3x^8)(-7x^3) 1. -84x^12 2. -84x^24 3. 84x^12 4. 84x^24