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What is the result when 3x3 + 4x2 + 6 is divided by x + 1? If there is a remainder,express the result in the form q(x) + ][2).
General
4 months ago
A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 10.3 reproductions and the population standard deviation is known to be 2.1. If a sample of 728 was used for the study, construct the 99% confidence interval for the true mean number of reproductions per hour for the bacteria. Round your answers to one decimal place.
General
4 months ago
An individual is making chicken-stuffed peppers for the gluten-intolerant and pita breads for the vegetarians in a cooking class. Each chicken-stuffed pepper takes twice as long to make as a pita bread. The individual needs to feed 5 gluten-intolerant and 10 vegetarian classmates. The individual has 8 hours, how much time can they spend on each chicken-stuffed pepper?
General
4 months ago
1 point) Are the functions f,g, and h given below linearly independent? f(x)=e3x+cos(5x), g(x)=e3x−cos(5x), h(x)=cos(5x). If they are independent, enter all zeroes. If they are not linearly independent, find a nontrivial solution to the equation below. Be sure you can justify your answer. 1 (e3x+cos(5x))+ -1 (e3x−cos(5x))+ 0 (cos(5x))=0.
General
4 months ago
According to a recent study, 1 in every 10 women has been a victim of domestic abuse at some point in her life. Suppose we have randomly and independently sampled twenty-five women and asked each whether she has been a victim of domestic abuse at some point in her life. Find the probability that at least 2 of the women sampled have been the victim of domestic abuse.
General
4 months ago
A deck of cards contains RED cards numbered 1,2,3, BLUE cards numbered 1,2,3,4,5,6, and GREEN cards numbered 1,2. If a single card is picked at random, what is the probability that the card is GREEN AND has an ODD number? Provide the final answer as a fraction.
General
4 months ago
Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. If the graph of f is concave upward on (a, c) and concave downward on (c, b), where a < c < b, then f has an inflection point at x = c.
General
4 months ago
A cell phone charger costs $21. There is a 10% discount this week only. The sales tax is 9%. What is the total of the phone charger including tax? Please show your work.
General
4 months ago
2. A paper airplane was thrown from the top of a tall building. The height of the paper airplane above the ground can be found using the function f(x) = −1.5x + 69, where x is the time in seconds the airplane has been in the air. a. Draw the graph of the function b. How many seconds did it take the paper airplane to reach the ground? c. Explain your answer.
General
4 months ago
two friends drive from dallas going to el paso, a distance of 600 miles. mary ann zilke travels by highway and arrives at the same destination 2 hours ahead of carla canola, who took a different route. if the average speed of mary ann's car was 10 miles per hour faster than carla's car, find the average speed of each car
General
4 months ago
Katie is selling lemonade for $1.50 per cup she decides to put them on sale for $0.90 what percent discount did she give on her lemonade
General
4 months ago
A coach needs both small and large cones to set up an obstacle course. The coach knows that there are fewer than 30 cones in the storage room. The coach needs at least a dozen large cones. Let x represent the number of small cones and y represent the number of large cones. Which inequalities model the situation? Select each correct answer. x+y≤30 x>0 x+y<30 y≥12y>12
General
4 months ago
The sum of two integers is 9 their difference is 5 what are the two integers
General
4 months ago
Julie cashed a paycheck and repaid her brother $10 that she had borrowed from him. She then spent $30 on fuel for her car and half of the remaining money on a new tent for camping. She bought a pair of running shoes for $29.45 and had $17.75 left. How much did Julie receive when she cashed her paycheck?
General
4 months ago
Jaime had $37 in his bank account on Sunday. The table shows his account activity for the next four days. What was the balance in Jaime’s account after his deposit on Thursday? Jaime’s Bank Acc.______________________| Day | Deposit | withdrawal || Mon| $17.42 | none || Tues| None | -$12.60 || Wed| None | -$9.62 || Thur| $62.29 | none |———————————————A) $57.48B) $59.65C) $94.49D) $138.93(I would really appreciate it if someone will help me)
General
4 months ago
A fair charges $7.25 for admission and $5.50 for a ride pass. Ten friends visited the fair. Not all of the friends purchased ride passes. If their total cost was $105.50, how many friends purchased ride passes?tell me pls thank you
General
4 months ago
Miguel needs to fix a window screen that is 23 feet above the ground. The ladder he uses makes a 75° angle with the ground. What is the shortest possible length of the ladder if the top of it is 23 feet off the ground? Round to the nearest whole number.
General
4 months ago
Richard borrowed $950 from his parents to make some repairs on his car. He promised to repay the loan by giving his parents at least $85 from his paycheck each week. Assuming richard sticks to his promise, which of the following is not a possible scenario for the amount of debt Richard has remaining?
General
4 months ago
A recipe for oatmeal raisin cookies calls for 1 2/3 cups of flour to make 4 dozen cookies. How many cups of flour are needed to make 6 dozen cookies?
General
4 months ago
If x represents time, the average rate of change of a function f(x) in the first two seconds is____.
General
4 months ago
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