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MATH SOLVE
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A speedy rabbit is hopping to the right with a velocity of 4.0m/s when it sees a carrot in the distance. The rabbit speeds up to its maximum velocity of 13m/s with a constant acceleration 2.0m/s2 rightward. How many seconds does it take the rabbit to speed up from 4.0m/s to 13m/s
General
2 months ago
Shawn has $15,000 to invest. She will put some of it into a fund that pays 4.5% annual interest and the rest in a certificate of deposit that pays 1.8% annual interest. How much should she invest in each account if she want to earn 4.05% annual interest on the total amount?
General
2 months ago
What is the slope of a line passing through (3, 8) and (5, 5)?
General
2 months ago
A line is parallel to y= 1/2x +6 and passes through (–8, 0). What is the equation of the line?
General
2 months ago
King's Coins Problem On a cloudy day, a king went into the countryside with a bag of gold coins. The first person was one of his subjects who had recently lost one of his sons to the plague. The king gave this man half of the coins in his coin bag and then gave him two more coins. Then he continued walking down the road. Next the king met a merchant who had recently lost one of his ships to pirates. The king gave the merchant half of the coins in his coin bag and then he gave the merchant two more coins. By this point the king was getting tired. So, he turned around and headed back to his castle. On his way, he met his son the prince who was headed out into the countryside for some horseback riding. To the prince, the king gave half of the coins he had left in his coin bag and then two more. When the king got back to the castle he had two coins left. How many coins were in the king's coin bag when he left the castle on this cloudy day?
General
2 months ago
At the start of your vacation, you drive for four hours and 28 minutes, from your home to a cottage you have rented for a week. The car odometer says that the trip covered a distance of 178.7 miles. When you check your GPS, however, it tells you that the straight-line distance from your home to the cottage is 123.3 miles. You might find it helpful to know that there are 1.609344 km in a mile.(a) What is your average speed for your trip from your house to the cottage? Express your answer in units of m/s.__________ m/s(b) What is the magnitude of your average velocity for your trip from your house to the cottage? Express your answer in units of m/s.
General
2 months ago
A survey was conducted of 42 students who take math, Eng lish, or history. In the survey, 15 students said they take math and history. 2 students said they only take history. 17 students said they take math and English. 12 students said they take math, English, and history. 18 students said they take English and history. How many students take only English or only math? •
General
2 months ago
A survey of 40 movie patrons revealed 18 said they saw the movie Scary Fractions and 32 said they saw the movie Dr. Venn and Mr. Diagram. Some people surveyed said they saw both movies. If all movie patrons saw one or both of the movies, how many saw both movies?
General
2 months ago
When solving a linear inequality, what is different compared to solving a linear equa- tion? For which steps do you have to hbe more careful now? (ii) Write down your own explicit questions about the reading, ready to bring up in class You can also mention a specific example or definition in the lecture notes that is still not clear to you, so the professor can expand on those ideas. Be as specific as possible. (ii) Reflection: Write one, two or maybe three sentences with your thoughts about the section that you read, what was well explained and interesting, what you had to re- read to understand, ete. You can also mention how the semester is going for you and any suggestions that you have to improve the class.
General
2 months ago
The volume of a spherical tank is 790.272 pie cubic feet. What is the diameter of the container?
General
2 months ago
The position function for a particular object is s equals negative 31 over 2 times t squared minus 44 times t plus 85. Which of the following statements is true?
General
2 months ago
The total land area of the United States is about 3,483,511 square miles more than the total land area of Tennessee, which is about 53,927 square miles. Write and solve an equation to find the total land area of the United States.
General
2 months ago
Emelina Deposit $260 into a savings account seven years ago the account earns 8.5% interest compounded annually how much interest has she earned
General
2 months ago
the area of the base of the cylinder is 45 square inches and it's height is 10 inches. A vine has the same area of its base and the same height. what is the volume of the cone ?
General
2 months ago
Country A has a growth rate of 2.2% per year. The population is currently 5,667,000, and the land area of Country A is 31,000,000,000 square yards. Assuming this growth rate continues and is exponential, after how long will there be one person for every square yard of land?
General
2 months ago
For what values of a does the equation a+x=1+a^2x have no solution?
General
2 months ago
Charlie was carrying around the steps to solve Square root of 6x plus 4 = 8. On his way through the Math Factory, Charlie dropped them and they mixed with other steps. Put the correct steps in order to solve Square root of 6x plus 4 = 8.A. Divide by 2 from both sides B. Square root both sides C. Divide by 6 from both sidesD. Subtract 4 from both sides E. Subtract 8 from both sides F. Square both sides(2 points)
General
2 months ago
An equation is called ________ if its solution set is empty; that is, if it has no solution.
General
2 months ago
Juliana has created the function f(x) =the quantity of 3x plus 2, divided by 4 to represent the cost of texting on her current plan, where x represents the number of texts. Juliana discovers that, using the inverse function to solve for x = 24, she can predict how many texts she can use for $24. Explain to Juliana how to accomplish this, using complete sentences.
General
2 months ago
A solution of 10% sulfuric acid and one of 25% sulfuric acid are to be used to make 500 ml of 20% sulfuric acid. How many ml of each solution needs to be used in the mixture? (round answers to the nearest ml)
General
2 months ago
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