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An external sinusoidal force is applied to an oscillating system which can be modelled by a model spring and a damper. The general solution of the equation of the motion is given by, x = 4+ 3.984cos(2nt-B) + 2.81exp(-8.58t)cos(at + o) where a, b, and are some constants. Determine the amplitude of the oscillation when steady-state is reached. Give your answer correct to 3 decimal places.
General
2 months ago
Another rock in Death Valley at the Racetrack traveled 55.3 meters during the observation period of nine years. a . What was the rock's average speed in feet per year? Round your answer to the nearest whole number. feet per year b . If a strong wind gives a stone an initial velocity of v 0 = 11 m / s , and the friction coefficient of stone on ice is μ = 0.14 , and g = 9.81 m / s 2 . Use the equation v 2 0 = 2 μ g S to find the stopping distance S for the stone. Round your answer to the nearest tenth.
General
2 months ago
If a person walks with a speed of 1.1 miles per hour, it takes 195 minutes to walk around the rim. Assuming that the rim is approximately a circle, what is the diameter of the crater? (Round your answer to the nearest tenth and make sure you convert the minutes to hours first!) b . How many cubic miles of sand would fill the crater if its approximate shape is a hemisphere (half of a sphere)? The volume of the whole sphere is V = 4 3 π r 3 . Round your answer to the nearest hundredth. cubic miles
General
2 months ago
Which equation represents Grant's path?A circle representing a pool is graphed with a center at theorigin. Grant enters the pool at point A and swims over to afriend who is located at point B.Oy= 2 - 4xO y=4-Oy = 6-0Oy = 8 - 2x-10to224610x
General
2 months ago
A pair of jeans was 30% off the original price. The sale resulted in a $24 discount.a. Is the original price of the jeans considered the whole, part, or percent?b. What was the original cost of the jeans before the sale? Show two methods for finding your answer.
General
2 months ago
Five of the 25 girls on Alden Middle School’s soccer team are seventh-grade students. Find the percentage of seventh graders on the team. Show two different ways of solving for the answer. One of the methods must include a diagram or picture model.
General
2 months ago
a. Sam purchased 3 games for $140 after a discount of 30%. What was the original price?b. If Sam had used a 20% off coupon and opened a frequent shopper discount membership to save 10%, would the games still have a total of $140?
General
2 months ago
Let r = "I like pancakes," s = "I like syrup," and t = "I like honey." Write this sentence in symbolic form: I like pancakes, and I like syrup or honey, but not both
General
2 months ago
a. If an item is discounted 20%, the sale price is what percent of the original price?b. If the original price of the item is $400, what is the dollar amount of the discount?c. How much is the sale price?
General
2 months ago
Matthew completed 5/8 of his workday. What decimal would also describe the portion of the workday he has finished? How can you use the decimal to get the percent of the workday Matthew has completed?
General
2 months ago
A company produces a women's bowling ball that is supposed to weigh exactly 14 pounds. Unfortunately, the company has a problem with the variability of the weight. In a sample of 11 of the bowling balls the sample standard deviation was found to be 0.71 pounds. Construct a 95% confidence interval for the variance of the bowling ball weight. Assume normality.
General
2 months ago
The frosty ice cream shop sells sundaes for$2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than banana splits and made $156
General
2 months ago
Jachin is saving to buy a new tablet that costs more than $400. He already has $85 in his piggy bank, and he is able to put $25 in his bank once a week when he gets paid for mowing lawns. The inequality that represents this situation is 25w+85>400, where w represents the number of weeks Jachin makes a deposit into his piggy bank. What does the solution for the inequality mean in relation to this situation?
General
2 months ago
Your international diplomacy trip requires stops in Thailand, Singapore, Hong Kong, Laos, and Bali. How many possible itineraries are there in which the last stop is Thailand?
General
2 months ago
1. Suppose people ages 16-30 make up 15% of drivers on the road, 80% of drivers are aged 31-64, and 5% of drivers are aged 65+. Furthermore, suppose drivers in each age range cause car accidents at the rates of 6%, 4%, and 9%, respectively. Given an accident occurred, what is the probability a driver aged 31-64 caused it? g
General
2 months ago
0 Expand Suppose that fish inhabiting the river in the town of Glenmeadow have a 30% rate of parasite incidence. Carl is a fisherman who wants to verify the parasite infection rate of Glenmeadow's fish. He catches 1000 fish at random and sequentially them for parasites Assuming that the true parasite incidence rate is 30%, which of the following statements is the most accurate? O As Carl tests an increasing number of fish, he is more likely to find parasites in every third fish. O Exactly 30% of the fish Carl tests will have parasites. If the first 20 fish Carl tests all have parasites, the probability that the 21st fish he catches will have parasites is lower than 30%. 。The more fish Carl tests, the more likely he is to find a 30% parasite incidence rate. O Each fish Carl tests has a 30% chance of having parasites
General
2 months ago
An automobile with 0.279 m radius tires travels 65000 km before wearing them out. How many revolutions do the tires make, neglecting any backing up and any change in radius due to wear? (You do not need to enter any units.)
General
2 months ago
A consumer advocate wants to collect a sample of jelly jars and measure the actual weight of the product in the container. He needs to collect enough data to construct a confidence interval with a margin of error of no more than 3 grams with 95% confidence. The standard deviation of these jars is usually 3 grams. Estimate the minimum sample size required.
General
2 months ago
A store sold 102 record albums during a two-day sale. Twice as many albums were sold the second day as the first How many albums were sold the frist day?
General
2 months ago
Of 10 students surveyed in a school , 7 picked Summer as their favorite season. If the school has 350 students. How many can be expected to perfer summer?
General
2 months ago
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