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Three moons are in the same circular orbit around a planet. The moons are each 115,000 kilometers from the surface of the planet, located at points A, B, and C. The planet is 45,000 kilometers in diameter and m∠ABC=90∘. How far is point A from point C?
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4 months ago
Cerium-144 is a radioactive isotope with a half-life of 285 days. How long would it take for an initial sample of 15 grams of Cerium-144 to decay until only 5 gram remains?a. about 452 days b. about 855 days c. about 570 days d. about 407 days
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4 months ago
How many subsets of three elements each can be made from a set of five elements?A)10B)20C)60
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4 months ago
Mr. Watford owns two car dealerships. His profit from the first can be modeled with the polynomial c 3 − c 2 + 2c − 100, where c is the number of cars he sells. Mr. Watford’s profit from his second dealership can be modeled with the polynomial c2 − 4c − 300. a. Write a polynomial to represent the difference of the profit at his first dealership and the profit at his second dealership. _________________________________________________ ____________________________________ b. If Mr. Watford sells 45 cars in his first dealership and 300 cars in his second, what is the difference in profit between the two dealerships?
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4 months ago
Una diseñadora de modas que confecciona trajes de noche, tarda 3 horas en cortar y 2 horas en coser cada vestido de fiesta. Para confeccionar un terno tarde 3 horas en cortar y 3 en coser. En una semana de trabajo la diseñadora dispone de 30 horas para corte y 25 horas para el cosido. Hallé el número de trajes de noche de cada tipo que pueden producirse en una semana, teniendo en cuenta que la diseñadora trabaja de aprovechando toda su capacidad
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4 months ago
Which of the following statements is true?1.75 = 1 4/33 9/20 = 3.457/8= 0.78700 = 7/100
General
4 months ago
The value of the digit in the hundreds placed in the number 653841 is 1/10 the value of the digit in the thousand place in which number?
General
4 months ago
What is the volume of the prism? Enter your answer in the box as a mixed number in simplest form.
General
4 months ago
Linda and Carrie made a trip from their hometown to a city about 200 miles away to attend a friend's wedding. The following chart shows their distances, stops and times. What part of their total trip did they spend driving?3hr(driving) A=4/5 15min( rest stop) B=2/51 and 1/2hr(driving) C=58/731hr(rest stop) D=99/10020min(driving)
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4 months ago
How can one sixthx − 5 = one fifthx + 2 be set up as a system of equations?
General
4 months ago
I need help , please
General
4 months ago
identify the fractions labeled with letters A and B on the scale below. Give answers as a fraction or mixed number.
General
4 months ago
The work of a student trying to solve the equation 4(2x − 1) = 11 + 3x + 5 is shown below: Step 1: 4(2x − 1) = 11 + 3x + 5 Step 2: 8x − 4 = 16 + 3x Step 3: 8x + 3x = 16 − 4 Step 4: 11x = 24 Step 5: x = 2.18 In which step did the student first make an error and what is the correct step?
General
4 months ago
Jasmine is making a triangular garden. Two sides of the garden measure 6 feet by 11 feet. What is the range of the possible lengths, in feet, for the third side, x, of the garden?
General
4 months ago
In a school in Florida, 60% of the students stay in the school's dormitory and 40% stay with their families. The school records show that 30% of the students living in the dormitory and 20% of the students living with their families obtain As on exams. If a student chosen at random from the school receives As, the probability that the student lives in the school dormitory is .....A. 1/26B. 1/18C. 9/26D. 9/13
General
4 months ago
The surface are of a rectangular prism is 95 square centimeters. What is the surface area of a similar prism with dimensions that are 4 times as great as the original prism?
General
4 months ago
Roberto bought snacks to take to his soccer teams practice.he bought a bag of oranges for $5.65, and he bought a 12-pack of water bottles. The total cost was $12.13 before tax was added. Which equation can be used to determine b, the price for each bottle of water?A. 12 (b + 5.65) =12.13B. 5.65b + 12 = 12.13C. 5.65 (12) + b = 12.13D. 12b + 5.65 = 12.13
General
4 months ago
1). Evaluate C(20,18). A) 380B) 1902). Evaluate C(6, 6). A) undefined B) 1
General
4 months ago
Which shows a correct order to solve this story problem? To make a fruit smoothie, Jason needs 2.4 ounces of blackberries, 1.6 ounces of apples, and 3.4 ounces of blueberries. Jason makes 5 smoothies. How many ounces of fruit will Jason need altogether? A. Step 1: Add together the weights of the three fruits. Step 2: Multiply the sum by 5. B. Step 1: Add the weights of the apples and the blueberries. Step 2: Subtract the weight of the blackberries from that sum. Step 3: Multiply the difference by 5. C. Step 1: Multiply the weight of the blackberries by 5. Step 2: Add the weights of the apples and the blueberries to that product. Step 3: Multiply the sum by 5. D. Step 1: Add together the weights of the three fruits. Step 2: Divide the sum by 5.
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4 months ago
Alana and Petra go to a used book sale, where every book is the same price. Alana buys 4 books and Petra buys 2 books. They run into their friend Angus, who really loves to read, and discover that he has bought 16 books. Angus received a $15 discount, but he still spent $5 more than Alana and Petra combined. How much does one book cost?$2.00$24.50$1.00$2.50
General
4 months ago
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