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Find the mass and the center of mass of a wire loop in the shape of a helix (measured in cm: x = t, y = 4 cos(t), z = 4 sin(t) for 0 ≤ t ≤ 2π), if the density (in grams/cm) of the wire at any point is equal to the square of the distance from the origin to the point

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general 10 months ago 8895

f ∠A is 95° and ∠B is 105°, what is ∠C?A) 75° B) 85° C) 95° D) 105°

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general 10 months ago 3765

4. What is the largest number of identical cubes whose volumes are whole numbers (1,2,3,...) that would fit in a cubewhose volume is 1080 cm3? Show all your work.

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general 10 months ago 7363

Three points of a function are graphed. A coordinate plane with 3 points plotted at (10, 18), (14, 24), and (18, 30).Which statement describes the function through the points?The function is a direct variation function with a constant of variation of 1.5.The function is a direct variation function with a constant of variation of 1.8.The function is linear but is not a direct variation function. The function is not a linear function.

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general 10 months ago 3585

Some experts believe that 24% of all freshwater fish in a country have such high levels of mercury that they are dangerous to eat. Suppose a fish market has 350 fish tested, and 80 of them have dangerous levels of mercury. Test the hypothesis that this sample is not from a population with 24% dangerous fish, assuming that this is a random sample. Use a significance level of 0.05. State the null and alternative hypothesis, determine the z-test statistic, find the p-value, does the conclusion support or reject the null.

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general 10 months ago 1179

An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standard deviation of 45 hours. If a sample of 35 bulbs has an average life of 710 hours, find a 96% confidence interval for the population mean of all bulbs produced by this firm.

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general 10 months ago 9583

Please help!!!! I’ll mark you as brainliest if you get it correct

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general 10 months ago 6291

Prove that y=x² at x=0 has both a local and global minimum using first derivative test. I can prove it with a graph looking at it visually but how would you prove it with written words.

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general 10 months ago 6291

A theater is selling tickets for a performance. Mr. Smith purchased 8 senior tickets and 5 child tickets for $136 for his friends and family. Mr. Jackson purchased 4 senior tickets and 6 child tickets for $96. What is the price of a senior ticket?

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general 10 months ago 9412

use the general slicing method to find the volume of The solid whose base is the triangle with vertices (0 comma 0 ), (15 comma 0 ), and (0 comma 15 )and whose cross sections perpendicular to the base and parallel to the y-axis are semicircles

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general 10 months ago 3544

Describe how the variability of the distribution changes as the sample size increases. As the sample size increases, the variability decreases. It cannot be determined. As the sample size increases, the variability stays the same. As the sample size increases, the variability increases.

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general 10 months ago 4488

A queue with a single server receives 50 requests per second on average. The average time for the server to address a request is 10 milliseconds. What is the probability that there are exactly k requests in this system?

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general 10 months ago 7614

Bowling cost $2 to rent shoes,plus $5 per game. Mini golf cost $5 to rent a club, plus $4 per game. How many games would be the same total cost for bowling and mini golf? And what is that cost

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general 10 months ago 1345

(3 points) There are 50 apple trees in an orchard. Each tree produces 800 apples. For each additional tree planted in the orchard, the output per tree drops by 10 apples. How many trees should be added to the existing orchard in order to maximize the total output of trees ?

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general 10 months ago 2535

Please help me I need help quick !!!!Jim’s new car has 150 miles on the odometer. He takes a trip and drives an average of m miles each day for three weeks. Which expression represents the mileage on Jim’s car after his trip?

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general 10 months ago 6857

Write the equation of the linear relationship in slope-intercept form, using decimals as needed.x 0 100 200 300y 2.5 97.5 192.5 287.5

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general 10 months ago 6832

In a random sample of 200 students, 55% indicated they have full-time jobs, while the other 45% have part-time jobs. Fifty of the 90 male students surveyed have a full-time job, and 60 of the females surveyed have a full-time job. What is the probability that a randomly selected student is female given they have a part-time job?

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general 10 months ago 8819

Beth bought 20 tickets to a movie, where adult tickets cost $8.00 and senior citizen tickets cost $4.00. She spent a total of $140. Which system of equations will determine the number of adult tickets, a, and the number of senior citizen tickets, s, Beth purchased?

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general 10 months ago 5667

How many total blocks will she travel if she goes to Amanda‘s house and then to Karen’s and finally back home

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general 10 months ago 9877

two kinds of tickets to an outdoor concert were sold: lawn tickets and seat tickets. fewer than 400 tickets in total were sold. solve:a. write an inequality to describe the constraints. specify what each variable represents.b. use graphing technology to graph the inequality. sketch the region on the coordinate plane.c. name one solution to the inequality and explain what it represents in that situation. d. answer the question about the situation: if you know that exactly 100 lawn tickets were sold, what can you say about the number of seat tickets?

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general 10 months ago 9696