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Antoine has a solid, spherical ball of clay with a radius of 5 cm. If he shapes it into a solid, coneshaped figure with a radius of 2 cm, what will the height of the cone be? PLZZZZZZZZZ HLPPPPPPPP MEEEEEEEEEEEwhich of the following is made up of one base and a vertex not in the same plane as the base? check all that applya. coneb. prismc. cylinderd. pyramid What is the inverse of the given function? After spending a day gardening, Amy develops red, itchy eyes due to exposure to pollen. What type of medication will Amy's doctor prescribe for her allergic reaction? A. osmotic B. antibiotic C. antihistamine D. anesthetic In a contest, two tractors pull two identical blocks of stone thesame distance over identical surfaces. However, block A is moving twice as fast as block B when it crosses the finish line. Which statement is correct?a) Block A has twiceas much kinetic energy as block B.b) Block B has losttwice as much kinetic energy to friction as block A.c) Block B has losttwice as much kinetic energy as block A.d) Both blocks havehad equal losses of energy to friction.e) No energy is lostto friction because the ground has no displacement. Given the following number line, what number could be A if XY - ZA?XY Z-6A. -5B. -1C. 5D. 6 Rogers Inc. has provided the following data for the month of June. There were no beginning inventories; consequently, the direct materials, direct labor, and manufacturing overhead applied listed below are all for the current month. Work in process Finished goods Cost of goods sold Total Direct materials $2,380 16790 43930 $63,100 Direct labor 1710 16060 42020 $59,790 Manufacturing overhead applied 1520 9880 26600 $38,000 Total $5,610 $42,730 $112,550 $160,890 Manufacturing overhead for the month was underapplied by $1,000. The company allocates any underapplied or overapplied manufacturing overhead among work in process, finished goods, and cost of goods sold at the end of the month on the basis of the overhead applied during the month in those accounts. The work in process inventory at the end of June after allocation of any underapplied or overapplied manufacturing overhead for the month is closest to: a. $5,570 b. $5,575 c. $5,645 d.$5,650 The temperature at 3:00pm was 15 degrees. At midnight the temperature was -2 degrees. What is the difference between those two temperatures That 85 kg paratrooper from the 50's was moving at constant speed of 56 m/s because the air was applying a frictional drag force to him that matched his weight. If he fell this way for 40 m, how much heat was generated by this frictional drag force in J Austin kicks a soccer ball with an initial velocity of 18.0 m/s at an angle of 35.0. What are the horizontal and vertical components of the initial velocity? Round your answers to the nearest tenth. vix = m/s viy = m/s Help RescMitosis can be broken down into 4 steps. The way toremember what happens during metaphase is "middle"Chromosomes are visable during metaphase. Whereare the chromosomes visible?Outside the cellBThe equator of the cell A company received a bank statement showing a balance of $78,000. Reconciling items included outstanding checks of $2,400 and a deposit in transit of $9,400. What is the company's adjusted bank balance can someone help me? ali's typing rate between 8:00 am and noon is 48 words per minute . after lunch a lunch break, Ali's typing rate between 1:00 pm and 4:00 pm is 2,040 words per hour . what is Ali's average typing rate per minute for the whole time she works? You still .......... (believe) in Santa Claus. simple present tense -Lab-"Why are cells so small" Pet Place sells pet food and supplies including a popular bailed hay for horses. When the stock of this hay drops to 20 bails, a replenishment order is placed. The store manager is concerned that sales are being lost due to stock outs while waiting for a replenishment order. It has been previously determined that demand during the lead-time is normally distributed with a mean of 15 bails and a standard deviation of 6 bails. The manager would like to know the probability of a stockout during replenishment lead-time. In other words, what is the probability that demand during lead-time will exceed 20 bails Give an example of a function from N to N that is: Hint: try using absolute value, floor, or ceiling for part (b). (a) one-to-one but not onto (b) onto but not one-to-one (c) neither one-to-one nor onto The amount of pollutants that are found in waterways near large cities is normally distributed with mean 8.5 ppm and standard deviation 1.4 ppm. 18 randomly selected large cities are studied. Round all answers to two decimal places.A. xBar~ N( ____) (____)B. For the 18 cities, find the probability that the average amount of pollutants is more than 9 ppm.C. What is the probability that one randomly selected city's waterway will have more than 9 ppm pollutants?D. Find the IQR for the average of 18 cities.Q1 = Q3 = IQR:2. X ~ N(30,10). Suppose that you form random samples with sample size 4 from this distribution. Let xBar be the random variable of averages. Let X be the random variable of sums. Round all answers to two decimal places.A. xBar~ N(___) (____)B. P(xBar 36)=E. Q3 for the xBar distribution = What is the result of 1816 2/3? Enter the result as an improper fraction and as a mixed number.