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MATH SOLVE
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Bryce, a mouse lover, keeps his four pet mice in a roomy cage, where they spend much of their spare time (when they are not sleeping or eating) joyfully scampering about on the cage's floor. Bryce tracks his mice's health diligently and just now recorded their masses as 14.5 g,14.5 g, 18.3 g,18.3 g, 13.3 g,13.3 g, and 10.5 g.10.5 g. At this very instant, the xx ‑ and yy ‑components of the mice's velocities are, respectively, (0.127 m/s, −0.907 m/s),(0.127 m/s, −0.907 m/s), (−0.781 m/s, −0.103 m/s),(−0.781 m/s, −0.103 m/s), (0.867 m/s, 0.471 m/s),(0.867 m/s, 0.471 m/s), and (−0.213 m/s, 0.851 m/s).(−0.213 m/s, 0.851 m/s). Calculate the xx ‑ and yy ‑components of Bryce's mice's total momentum, pxpx and py.
General
2 months ago
Determine the area of each of the following figures. Assume that all angles that look like right angles are right angles.
General
2 months ago
lucas divides his pizza into three equal pieces for himself and his two friends. his friend teddy eats 5/8 of his piece for lunch and a further 2/5 of what remains for dinner. what fraction of the original pizza did teddy eat for dinner
General
2 months ago
At Prairie Elementary School, students are asked to pick their lunch ahead of time so the kitchen staff will know what to prepare. On Monday, 6 times as many students chose hamburgers as chose salads. The number of students who chose lasagna was one third the number of students who chose hamburgers. If 225 students ordered lunch, how many students chose each option if hamburger, salad, and lasagna were the only three options?
General
2 months ago
Indiana Ridge Middle School wanted to add a new school sport, so they surveyed the students to determine which sport is most popular. Students were able to choose among soccer, football, lacrosse, or swimming. The same number of students chose lacrosse and swimming. The number of students who chose soccer was double the number of students who chose lacrosse. The number of students who chose football was triple the number of students who chose swimming. If 434 students completed the survey, how many students chose each sport?
General
2 months ago
Camden, New Jersey has on of the highest crime rates in the United States. As a result a new Camden County Police department will include 400 officers and be responsible for an area covering nine square miles. Suppose the number of times a police cruiser from this new department drives through the Whitman Park neighborhood during 1 hour perioud is a random variable, X, with probability distribution given in the table below: x 0 1 2 3 4 5 6 7p(x) 0.3679 0.3679 0.1839 0.0613 0.0153 0.0031 0.0005 0.0001(a) What is the probability that at most two police cruisers will drive through the neighborhood?(b) Suppose at least two police cruisers were sighted in the neighborhoof during the one hour period. What is the probability that there were at least four during this time?
General
2 months ago
In a sociology class there are 1414 sociology majors and 1111 non-sociology majors. 33 students are randomly selected to present a topic. What is the probability that at least 22 of the 33 students selected are non-sociology majors? Express your answer as a fraction or a decimal number rounded to four decimal places.
General
2 months ago
You pull a sled across a horizontal frictionless patch of snow. If your pulling force is in the same direction as the sled's displacement and increases the kinetic energy of the sled by 27%, by what percentage would the sled's kinetic energy increase if the pulling force acted at an angle of 46° above the horizontal?
General
2 months ago
What is the simplified form of 3 StartRoot 135 EndRoot?
General
2 months ago
The school librarian, Mr. Marker, knows the library has 1,400 books but wants to reorganize how the books are displayed on the shelves. Mr. Marker needs to know how many fiction, nonfiction, and resource books are in the library. He knows that the library has four times as many fiction books as resource books and half as many nonfiction books as fiction books. If these are the only types of books in the library, how many of each type of book are in the library?Draw a tape diagram to represent the total number of books in the library.
General
2 months ago
given the points a(-3 -5) and b(5,0), find the coordinates off point P that is 2/5 of the way along the directed line segment AB
General
2 months ago
Find the value of each variable.
General
2 months ago
The line passing through which two ordered pairs would be perpendicular to the equation y=4x-1
General
2 months ago
A toll collector on a highway receives $8 for trucks and $7 for cars. At the end of a 33-hour period, she collected $296. How many trucks and cars passed through the toll booth during that period? List all possible solutions.
General
2 months ago
A box of volume 36 m3 with square bottom and no top is constructed out of two different materials. The cost of the bottom is $40/m2 and the cost of the sides is $30/m2 . Find the dimensions of the box that minimize total cost. (Let s denote the length of the side of the square bottom of the box and h denote the height of the box.)
General
2 months ago
A bus driver follows a morning route and an afternoon route each day. Because there are more cities on the morning route, the average speed is 12 miles per hours less than the afternoon route. She covers 70 miles on the morning route in the same amount of time she covers 100 miles on the afternoon route. Find the average speed on the afternoon route
General
2 months ago
A car leaving a stop sign accelerates constantly from a speed of 0 feet per second to reach a speed of 44 feet per second. The distance of the car from the stop sign, d d , in feet, at time t t , in seconds, can be found using the equation d=1.1 t 2 d=1.1t2 . What is the average speed of the car, in feet per second, between t=2 t=2 and t=5 t=5 ? 5.5 6.6 7.7 8.5
General
2 months ago
A charity organization had a fundraiser where each ticket was sold for a fixed price of $70. They had to sella few tickets just to cover necessary production costs. After selling 10 tickets, they were still at a net lossof $800 (due to the production costs).Let P represent the net profit (in dollars) when they have sold n ticketsComplete the equation for the relationship between the net profit and number of tickets sold.P=
General
2 months ago
A certain computer algorithm executes twice as many operations when it is run with an input of size k as when it is run with an input of size k − 1 (where k is an integer that is greater than 1). When the algorithm is run with an input of size 1, it executes seven operations. How many operations does it execute when it is run with an input of size 24?
General
2 months ago
A certain motorcycle manufacturer has been building motorcycles for 98 years. Over that period, production has increased steadily at an annual rate of 5%, so that the production rate, in motorcycles/year, after t years wasr(t)=A⋅1.05^twhere A is a constant representing the initial production rate. What fraction of their total production was built during the last 13 years? Your answer should be a number between 0 and 1.
General
2 months ago
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