rag each object to show whether distance is proportional to time in the situation represe

What is the least whole number n such that 84 divides n! ? 3) You need to paint shutters on a window that is on the second floor of your house. You have a 20 foot ladder that you will use. There is a warning on the ladder that states the angle formed by the ladder and the ground must not be less than 70 degrees, or the ladder may slip and cause serious injury or death. You planned on placing the bottom of the ladder 3 feet from the base of the house. Will the angle formed between the ground and the ladder be safe? What is the furthest possible distance the ladder can be placed to maintain a safe angle? Sketch: Find two numbers whose product is 110, and whose sum is 21. How many solutions does the inequality x>12 have? if a town with a population of 10,000 doubles in size every 17years wat will population be 68 years from now Which value is the solution of [tex] \sqrt[3]{3x} + 7 = 4[/tex]A.-9B.-1C.3D.19 help plsjust say what option please help me solve this? Please help me with this problem!! 5. The perimeter of a rectangular poultry farm is 38m. If 3 meters are subtracted from its length and 2 meters from its breadth, the length will be two times the breadth. Find the area of the farm? Name and title:include your name, instructor's name, date, and name of lab.objectives(s):in your own words, what is the purpose of this lab?hypothesis:in this section, please include the if/then statements you developed during your lab activity. these statements reflect your predicted outcomes for the experiment.if the mass of the sun is 1x, at least one planet will fall into the habitable zone if i place a planet in orbits___, ____, ____, and ____, and all planets will orbit the sun successfully.if the mass of the sun is 2x, at least one planet will fall into the habitable zone if i place a planet in orbits___, ____, ____, and ____, and all planets will orbit the sun successfully.if the mass of the sun is 3x, at least one planet will fall into the habitable zone if i place a planet in orbits___, ____, ____, and ____, and all planets will orbit the sun successfully.procedure:the materials and procedures are listed in your virtual lab. you do not need to repeat them here. however, you should note if you experienced any errors or other factors that might affect your outcome.using the summary questions at the end of your virtual lab activity, please clearly define the dependent and independent variables of the experiment.data:record your observation statements from space academy.when the mass of the sun is larger, earth moves around the sun at a ______ (faster, slower) pace.when the mass of the sun is smaller, earth moves around the sun at a ______ (faster, slower) pace.when earth is closer to the sun, its orbit becomes _____ (faster, slower).when earth is farther from the sun, its orbit becomes _____ (faster, slower).for each trial, record the orbit number of each planet from the sun. be sure to indicate the number of planets in the habitable zone after each trial. create a different configuration of planets for each trial. an example has been supplied for you. orbit numberplanet one orbit numberplanet twoorbit numberplanet threeorbit numberplanet fournumber of planets in the habitable zonenumber of planets left in successful orbitexample: sun's mass 1x135612sun's mass 1xtrial one sun's mass 1xtrial two sun's mass 2xtrial one sun's mass 2xtrial two sun's mass 3xtrial one sun's mass 3xtrial two conclusion:your conclusion will include a summary of the lab results and an interpretation of the results. please answer all questions in complete sentences using your own words.using two to three sentences, summarize what you investigated and observed in this lab.you completed three terra forming trials. describe the how the sun's mass affects planets in a solar system. use data you recorded to support your conclusions.in this simulation, the masses of the planets were all the same. do you think if the masses of the planets were different, it would affect the results? why or why not?how does this simulation demonstrate the law of universal gravitation?it is the year 2085, and the world population has grown at an alarming rate. as a space explorer, you have been sent on a terraforming mission into space. your mission to search for a habitable planet for humans to colonize in addition to planet earth. you found a planet you believe would be habitable, and now need to report back your findings. describe the new planet, and why it would be perfect for maintaining human life. Which magnet would be best for lifting heavy metal, moving it,and letting go of it |x+1|+|x-2|=3can someone give an easy explanation plssss The transformation of triangle ABC is an example of what? 1. How does Fitzgerald's use of color create a particular effectParticularly note the repetition of "white" and the idea of "white," and consider connotative meaning (feeling).2. Highlight the figures of speech (simile, metaphor, hyperbole, etc.) Choose one and explain how it contributes to the mood of thepassage.3. Choose one image which particularly appeals to you and help you to imagine this scene in your mind. How does it affect you?4. Give an example of sound and how it fits the situation. Solve the quadratic equation by using a numeric approach.0.02x squared + 0.1 x - 2 = 0a.x = 2.3 and x = -29.2c.x = 5.6 and x = -12.2b.x = 7.8 and x = -12.8d.x = 1.3 and x = -22.6 Select the correct answer from each drop-down menu.Fats are an important dietary requirement that plays several roles in the body. Fats transport fat-soluble vitamins in the body, such as 1. The body cant synthesize 2. it and must obtain it through dietary intake.1. one answer to are vitamin B12 vitamin C vitamin D2. linoleic acidomega_3 fatty acid cholesterol100 points for this Select the three pieces of information that should appear on this slide. the fear is not based in facts. genetically modified foods are equally safe, says the fda. new products are already on grocery shelves. common fruits are genetically bred. you eat genetically bred foods whenever you eat nectarines. Please help me with this math problem!! Will give brainliest!! :) Question 8 of 10Suppose a sample consists of the following data values. What is the samplemean?6,7,3,9,2,4,5,9,9,3,7,8O A7B. 6C. 5