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MATH SOLVE
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Find the nth term of the sequence, then find the 20th term, 100th term and the series for each? 2/5, 1/15, -4/15,....
General
4 months ago
(a) find the slope m of the tangent to the curve y = 5 + 5x2 − 2x3 at the point where x =a. m = (b) find equations of the tangent lines at the points (1, 8) and (2, 9). y(x) = (at the point (1, 8)) y(x) = (at the point (2, 9))
General
4 months ago
The gallup poll interviews 1600 people. of these, 18% say that they jog regularly. the news report adds: "the poll had a margin of error of plus or minus three percentage points." you can safely conclude thata. 95% of all gallup poll samples like this one give answers within ±3% of the true population value.b. the percent of the population who jog is certain to be between 15% and 21%.c. 95% of the population jog between 15% and 21% of the time.d. we can be 3% confident that the sample result is true.e. if gallup took many samples, 95% of them would find that exactly 18% of the people in the sample jog.
General
4 months ago
F(x, y, z) = yz i + xz j + (xy + 18z) k c is the line segment from (1, 0, −1) to (5, 6, 1) (a) find a function f such that f = ∇f. f(x, y, z) = (b) use part (a) to evaluate c ∇f · dr along the given curvec.
General
4 months ago
Jack and Jane are married and both work. However, due to their responsibilities at home, they have decided that they do not want to work over 65 hours per week combined. Jane is paid $14 per hour at her job, and Jack is paid $7 per hour at his. Neither of them are paid extra for overtime, but they are allowed to determine the number of hours per week that they wish to work. If they need to make a minimum of $770 per week before taxes, what is the maximum amount of hours that Jack can work per week according to these limits?
General
4 months ago
The length of a rectangle is 4 inches less than twice its width. If the area of the rectangle is 70 square inches, what are its demensions
General
4 months ago
A carnival game allows a group of players to each draw and keep a marble from a bag. The bag contains 5 gold marbles, 25 silver marbles, and 70 red marbles.A player wins a large prize for drawing a gold marble and a small prize for drawing a silver marble. There is no prize for drawing a red marble.At the start of the game, the probability of winning a large prize is 0.05 and the probability of winning a small prize is 0.25.Suppose that the first player draws a silver marble and wins a small prize. What is the probability that the second player will also win a small prize?If a group of four plays the game one at a time and everyone wins a small prize, which player had the greatest probability of winning a large prize?How could the game be made fair for each player? That is, how could you change the game so that each player has an equal chance of winning a prize?
General
4 months ago
What are the foci of the hyperbola with equation 5y^2-4x^2=20?
General
4 months ago
Lori passes 80% of her tests. In the next week, Lori has 4 tests. She wants to determine the probability that she passes all 4 of the tests.Which simulation design has an appropriate device and a correct trial?A) Let Heads represent Lori passing a test and Tails represent Lori failing a test. Flip the coin four times. B) Roll a die letting 1-5 represent Lori passing a test and 6 represent Lori failing a test. Roll the die four times. C) Spin a spinner that is split up into 5 sections, where 4 sections are a success of passing a test. Spin the spinner four times. D) Using a random digits table select one digit numbers where 0-8 is a passing grade and 9 is a failing grade. Select four digits.
General
4 months ago
In a scale drawing a plane has a length of 35 centimeters. The actual length of the plane is 87.5 feet. What is the scale of the drawing?
General
4 months ago
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