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MATH SOLVE
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Aramis is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. The shape of his satellite can be modeled by (x-4)^2=3(y-3) where x and y are modeled in inches. He realizes that the static is a result of the feed antenna shifting slightly off the focus point. Where should the feed antenna be placed?
General
4 months ago
The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced increases. Here is a possible model: C(q) = 1,300 + 197q2 where q is the reduction in emissions (in pounds of pollutant per day) and C is the daily cost to the firm (in dollars) of this reduction. What level of reduction corresponds to the lowest average cost per pound of pollutant? (Round your answer to two decimal places.)a) ____________ pounds of pollutant per dayWhat would be the resulting average cost to the nearest dollar?b)____________ per pound
General
4 months ago
Which linear inequality could represent the given table of values?y < –2x + 3y ≤ –2x + 3y > –One-halfx – 3y ≤ –One-halfx – 3
General
4 months ago
A radio station believes that the proportion of people who listen to the radio on their way to work is 0.81. They take a random sample of 304 people. Use the Central Limit Theorem for Proportions to find the probability that more than 266 of them listen to the radio on their way to work. Round z-scores to 2 decimals. Round your final answer to 4 decimals.
General
4 months ago
Alex bought a new easy chair for $399. She bought it on the '12 months is the same as cash' plan. The contract stated that if not paid in 12 months, she would be assessed 14 percentAPR, dated from the first day of sale. If she pays it off on the thirteenth month, how much will she have to pay?$454.86$399$798$333.25QUESTION 101 points Save AnswerAlex bought a new easy chair for $399. She bought it on the '12 months is the same as cash' plan. The contract stated that if not paid in 12 months, she would be assessed 14 percentAPR, dated from the first day of sale. If Alex wants to pay off the chair within the 12 months, so that she will not have to pay interest, how much should she budget for payment eachmonth?$39.90$33.25$28.50$25.50
General
4 months ago
Buses arrive at a specific stop in 20 minute intervals starting at 7 a.m., that is at 7, 7:20, 7:40 and so on. If a passenger arrives at the stop at a time uniformly distributed between 7 a.m. and 8 a.m., what is the probability that he waits (a) less than 5 minutes for a bus, (b) more than 10 minutes for a bus?
General
4 months ago
Merry is certain that every time she parks in the municipal garage it cost her at least $2.20. If the garage charges .45 plus .25 for each half hour, how long is merry's car parked?
General
4 months ago
A rectangular poster is 3 times as long as it is wide. A rectangular banner is 5 times as it is wide. Both the banner and the poster have perimeters of 24 inches. What are the lengths and widths of the poster and the banner?
General
4 months ago
What is the equation of the line shown in this graph
General
4 months ago
the ratio of players to fans is 4:20. The ratio of the number of Yankee fans to Red Sox fans is 5:4. There are 200 Yankee fans. How many players are there?
General
4 months ago
is it possible to draw three lines in two planes such that all three lines are skew?
General
4 months ago
A group of 11 people are going to the movies one Saturday. Adults' tickets cost $11.50 each and children's tickets cost $7.25 each. If the total cost for admission to the movies is $105.25, how many children attended the movie?
General
4 months ago
isaiah wrote this problem in his notebook. Using the Vocabulary boxes,label the parts of the division problem. then, using the vocabulary, explain how isaiah can check whether his quotient is correct. quotient, divisor, dividend
General
4 months ago
henry is following the recipe card to make a cake. he had 95 cups of flour. how many cakes can henry make?flour needed for each cake2 2/9 cups of batter1/2 cup for topping
General
4 months ago
find the slope of a line parallel to 3x+5y=15
General
4 months ago
Explain why you would make one of the addends a tens number when solving an addition problem.
General
4 months ago
The formula s= sa/6 gives the length of the side, s, of a cube with the surface area, sa. How much longer is the side of the cube with a surface area of 180 square meters than a cube with the surface area of 120 square meters ?
General
4 months ago
1. Translate the variable expression into a word phrase: 4b – 2Translate the word phrase into a variable expression:2. the sum of 16 and 4 times a number3. Write an equation for the following word problem. Use b for the number of boys and g for the number of girls.There are eight fewer boys than girls in Mrs. Davis' class. How many boys are in the class?4. Will the standard form 3.2 × 10–4 be more or less than 1? Explain what effect the negative exponent has.5.Use a five-step plan to solve the following word problem. Show all five steps in your response: Doug is twice Anne's age. Doug is 34 years old. How old is Anne?
General
4 months ago
Which of the following is a like radical to 3x sqrt 5? X(3sqrt 5)Sqrt 5y3(3sqrt 5x) Y sqrt 5
General
4 months ago
Nicole has $9 to spend on cards.She finds friends with the same amount of money to split the cost of a set. One set cost $27. Each friend gets the same number of cards. How many cards does each friend get?
General
4 months ago
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