The ant crawled ___________ the branch, searching for leaves to eat. beyond among between along

In this version of the story, the ant has no idea where the food is.So she started to move from (0, 0) by making a sequence of random UP,DOWN, LEFT, and RIGHT moves, only to find herself back to her originalposition after 8 moves. Although she was disappointed, she thought: “Howmany possible paths of length 8 will bring me back to my original position?”Well, she did not really think that, but I did. Please count those using thefollowing strategy:• First, divide the paths into disjoint categories, depending on the num-ber of UP moves in the path.• Then observe that the number of UP moves completely determines thenumber of all other types of moves!• Then think of the path as an anagram of length 8 made of U, D, L,and R.• Finally, use the addition rule

An ant sits on an infinite grid at (0, 0) as shown below. There is also foodindicated by a dot at (5, 3). The ant is not aware yet of the oblique line(that’s Broadway of the ant city), but she will be in part (e).(a) Assume that the ant senses where the food is and will start moving to-wards it by only making UP and RIGHT moves. How many possible pathsare there that will bring the ant to the food? Hint: think of a bijection fromthe set of paths to some special set of binary words (what is that set?).2

An ant named 𝐵B, wants to climb an uneven cliff and reach its anthill (i.e., home of ant). On its way home, 𝐵B makes sure that it collects some food. A group of ants have reached the food locations which are at 𝑥−x−intercepts of the function 𝑓(𝑥)=(𝑥2−21)((𝑥−4)3−1)f(x)=(x 2 −21)((x−4) 3 −1). As ants secrete pheromones (a form of signals which other ants can detect and reach the food location), 𝐵B gets to know the food location. Then the sum of the 𝑥x-coordinates of all the food locations is

Select the correct answerEach sentence is labelled with a letter. Choose the most logical order of sentences from among the given choices to construct a coherent paragraphA. But when it feels other ants walking on its back, the ant simply stays put.B. When an ant on the march comes to a gap in its path, it slows down.C. In this way, the ants build a bridge long enough to span whatever gap is in front of them.D. The process repeats as the next ant in line slows, gets trampled and freezes in place.E. The rest of the colony, still barreling along at 12 centimeters per second, comes trampling over its back.radio_button_uncheckedBDEACradio_button_uncheckedBEADCradio_button_uncheckedBEDCAradio_button_uncheckedBADEC

Read the following passage carefully and answer the questions on it.The black ant is indisputably one of the smallest visible insects on earth Except with aid of a very powerful microscope, it is difficult if not impossible to locate the eyes, the mouth the nostrils (if it ever has any) or any other part of the body. An air of mystery surrounds the existence of this little creature.Have you ever taken time off your programme to watch these ants move in row? What gives them the sense of direction, we do not know. Indeed whoever sends them on an errand and how they even know their destination and the type of errand to run we are yet to be told. But they are an extremely well-organized lot.Certainly, there are no defined routes for them on walls or trees, yet they move in an orderly manner. almost in a straight line. The beautiful thing about these insects is that even when their line of movement is disorganized. they soon regroup and connect themselves again end to end. If in the process. one of them is killed. they quickly recognize that fact from their various positions. Then. one sees them running helter skelter with a seeming insistence on getting at the comrade to confirm its death.When this has been done, some of them run zigzag at a tremendous speed to alert the others on the route. Soon, they disappear completely. Later. as if everything were over and forgotten they reappear and form a new route and continue their movement transporting food or going on one errand or the other as before Bring your ears close to them and you hear nothing and you wonder what their means of communication could be. Perhaps, most surprising is their high sense of understanding the weather and the climate They are just like men in this area. They know when it is the rainy season and when the dry season comes. In fact, it is true to say that they prepare better for the future than man.During the dry season. they file out to different places gathering food which they store underground. At the slightest sign of the approach of the rainy season. they all get into the hole and seal it up. Surprisingly. they re-emerge when the dry season sets in. And whoever tells them that the dry season has come we do not know. You can now see the sense in the injunction, "Go to the ant, thou sluggard. learn her ways and be wise."(a) Why does the writer regard the black ant as one of the smallest insects on earth?(b) Give reasons why the writer thinks that the way ants live is ' interesting'?(c) (i) What is the writer's attitude towards the black ant? (ii) Quote an expression from the passage to support your answer.(d) When this has been done " What does 'this' refer to?(e) "The beautiful thing about these insects ..."(i) What grammatical name is given to this expression(ii) What is its function in the sentence?(f)What quality of the wins implied in the last sentence of the passage?(g) For each of the following words or phrases find another word or phrase that means the same and can replace it as it is used in the passage: (i) indisputably; (ii) row; (iii) helter skelter, (iv) a tremendous (v) area (vi) approac