Math Questions

Find the exact value of cos(u + v) given that sin u=-3/5 with u in quadrant III, and sin v=-5/13, with v in the quadrant III.

Explain how to find the domain of the geometric sequence where a₁ = 2 and the common ratio is 3.

Emma says that for f(x) = 8,000(0.95)*, the exponential growth is 0.95 and the y-intercept is 8,000. What is her error? Choose the correct answer below and fill in the answer box(es) to complete your choice. Since b = A. For f(x) to be an exponential growth model, a> it should be exponential decay, not growth. B. In an exponential growth model y = a. bx, the exponential growth r is found using the equation r= 1-b. So, the exponential growth is and the y-intercept is C. In an exponential growth model y = a. bx, the exponential growth is a and the y-intercept is b. So, the exponential growth is D. Emma found the x-intercept instead of the y-intercept. The x-intercept is 8,000 and the y-intercept is and b>

Suppose that there were a strong correlation between the variables d and f. Which of these is a true statement? A. dmust cause f B. d may cause f C. fmust cause d D. d must not cause f

For which of these does correlation most likely imply causation? A. As the number of cups of coffee consumed increases, the price of a dress increases. B. As rainfall increases, the number of umbrellas sold increases. C. As dishwasher use increases, the size of a DVD collection increases. D. As the hours spent studying increases, the number of points scored by a basketball team increases.

On his 6 Algebra tests, Omar received the following scores: 82, 44, 92, 86, 77 & 82. Find the mean, median, mode, range and outlier of the data set. Round the the nearest tenth. a. Mean: b. Median: c. Mode: d. Range: e. Outlier:

Write the equation of the circle with the given center and radius: Center (-10,5) Radius = 8

Select the correct answer. Jensen is writing an argumentative text about the benefits of digital textbooks. His teacher tells him that he does a great job establishing credibility. Why might Jensen's paper be credible? A. He offers evidence from trustworthy sources. B. He offers specific examples to support his claims. C.He does not offer a counterargument. D.mHe offers solutions for the problem explored.

Based on the following calculator output, determine the range of the dataset. 1-Var-Stats 114.285714286 Ex=800 Σx² = 92018 Sx 9.91151326681 σx= = 9.17627820157 n = 7 minX = 102 Q₁ = 104 Med = 115 Q3 = 122 maxX = 128

Nicole has 17 nickels n and dimes d. If the value of her coins is $1.60, how many of each coin does she have? Enter a system of equations to represent the situation, then solve the system.

Suppose the line of best fit for some data points has a slope of 4.404. If the mean of the x-coordinates of the data points is 8.891, and the mean of the y-coordinates is 5.519, what is the y-intercept of the line to three decimal places? A. 15.415 B. -15.415 C. 33.637 D. -33.637

How is the interquartile range calculated? A. Find the difference between the values for quartile 3 and the median. B. Find the difference between the values for quartile 3 and quartile 1. C. Find the difference between the values for quartile 3 and the minimum. D. Find the difference between the values for the maximum and minimum.

CJ wanted to see if listening to music would make the basketball players make more baskets. On day one, he didn't play any music and counted how many baskets they could make in 10 minutes. On day 2, he played rap music and counted the baskets, and on day 3, he played classical music and counted the baskets. a. Independent Variable (V): the different kinds of music b. Dependent Variable (DV) c. Control:

Use the multiplication rule to match the likely hood of two event occuring with the correct decimal The probability that you roll a 3 and then flip a tails? The probability of rolling two 1's in a row. The probability of drawing a jack and then flipping a tails. The probability that you roll a prime number and then your roll an even number.

If there are 25 values in a data set in order from smallest to largest, what is the third quartile of the data set? A. The mean of the 21st and 22nd values B. The mean of the 20th and 21st values C. The mean of the 19th and 20th values D. The mean of the 22nd and 23rd values

If the length of the height of a trapezoid is 4 meters, the length of one of its bases is 11 meters, and its area is 62 square meters, then what is the measure of the other base? 113 m 20 m 146 m 25.5 m

A parallelogram has a base of 12 feet, sides of 15 feet, and a height of 13 feet. a) Find the perimeter and area of the parallelogram. b) Suppose the base of the parallelogram is reduced to three-fourths of the original. Find the new perimeter and area. c) Compare your answers in parts a and b for perimeter and area of the original parallelogram.

In Problems 3-6, find the slope msec of the secant line through the two given points and then calculate mtan = lim h→0 msec. 3. f(x) = x² (a) (-2,4), (-2+h, (-2+h)2) (b) (0.5, 0.25), (0.5+h, (0.5+h)²) 4. f(x) = 3+x² (a) (1,4), (1+h,3 + (1 + h)²) (b) (x,3+x²), (x+h,3 + (x + h)²)

If c is an explanatory variable and dis the corresponding response variable, which of these would be represented by the vertical axis on a scatterplot? A. Neither c nor d B. c C. Both cand d D. d

I can calculate the probability of independent events using P(A U B) and P(A n B), and interpret them in context. Given the following events: Event A: Drawing a red card Event B: Drawing an ace Calculate the probability of drawing a red ace. P (An B)

A line of best fit predicts that when x equals 35, y will equal 34.785, but y actually equals 37. What is the residual in this case? A. -0.215 B. 2.215 C. 15 D. 0.215

A circular power saw has a 61/2-inch-diameter blade that rotates at 4900 revolutions per minute. (a) Find the angular speed of the saw blade in radians per minute. (Round your answer to two decimal places.) radians/min (b) Find the linear speed (in feet per minute) of one of the 24 cutting teeth as they contact the wood being cut. (Round your answer to two decimal places.) ft/min

When the function f(x) is divided by x + 2, the quotient is x² - 5x + 8 and the remainder is 8. Find the function f(x) and write the result in standard form.

Jan spends part of her year as a member of a gym. She then finds a better deal at another gym, so she cancels her membership with the first gym after x months and spends the rest of the year, y months, with the second gym. The membership to the first gym costs $50 per month, while the membership for the second gym costs $45 per month. If she ended up spending a total of $550 over the course of the year, how much time did she spend at each gym? Enter a system of equations to represent the situation, then solve the system. The system of equations is Jan spent and months at the first gym and months at the second gym.

Mrs. Lakshi asks her geometry students to describe how to create a right prism with a volume of 24 cubic units. Dorothee says that the prism could be a right rectangular prism where the base is 2 x 3 square units and the height is 4 units. Bai says that the prism could be a right triangular prism where the base is a 3-4-5 right triangle and the height is 4 units. Which of the following statements best explains which student described a correct prism with a volume of 24 cubic units? A. Both students described a prism with the correct volume because the product of the area of the base of the prism and the height of the prism is 24 cubic units for both prisms. B. Neither student described a prism with the correct volume because the product of the area of the base of the prism and the height of the prism is not 24 cubic units for either prism. C. Only Bai described a prism with a volume of 24 cubic units because Dorothee's prism has a volume that is half of the area of the base times the height. D. Only Dorothee described a prism with 24 cubic units because Bai's prism has a base with area 3 x 4 x 5, which is 60 square units.

Let f(x) = x²+3x-5/ x²-8x+15 What is the domain of f(x)? A. All real numbers except x = 3, x = -5 B. All real numbers except x = 3, x = 5 C. All real numbers except x = 2 D. All real numbers

The hypotenuse of a right triangle is 11 inches. If one leg is 7 inches, find the degree measure of each angle. The angle opposite the 7-inch leg is (Do not round until the final answer. Then round to one decimal place as needed.) The third angle of the right triangle is (Do not round until the final answer. Then round to one decimal place as needed.)

Given the two events: Event A is drawing a queen. Event B is drawing a red card. Calculate the probability that you draw a queen or a red card? P(AUB)

If you have 140 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose? Area = (include units)

Suppose the line of best fit is being found for some data points that have an r-value of 0.793. If the standard deviation of the x-coordinates is 5.591, and the standard deviation of the y-coordinates is 2.772, what is the slope of the line to three decimal places? A. 0.625 B. 2.543 C. 0.393 D. 1.599

Given f(x) = 10x² - 5x + 11 and m(x) = 20x - 5: a) Write the equation of the tangent line to f(x) when x = 2. b) At what ordered pair does f(x) have a tangent slope of zero? c) Write the equation of the normal line to f(x) at the point where f(x) has slope of -15

Let f(x) = x²+3x-5/x² - 8x+15 What is the domain of f(x)? A. All real numbers except x = 3, x = -5 B. All real numbers except x = 3, x = 5 C. All real numbers except x = 2 D. All real numbers

Choose the best definition of compound events Consists of two or more simple events. None of the other answers are correct A selection of objects in which the order of the objects matters. Combining the elements of two or more sets The product of a given integer and all smaller positive integers

Simplify the complex fraction: 9/y2 + 1/y / 81/y2 - 1

What would you do to isolate the variable in the equation below, using only one step? x + 9 = 55 Add 9 to both sides of the equation. Subtract 9 from the left side of the equation only. Subtract 9 from both sides of the equation. Add 55 to both sides of the equation.

A baseball stadium offers tickets with different prices, depending on the location of the seats. If it decreases the prices of all tickets by $15, what will happen to the median price of the tickets? A. There is not enough information to answer the question. B. It will increase by $15. C. It will stay the same. D. It will decrease by $15.

Juan Carlos has been asked to find the distance between two points on a coordinate grid. Using the distance formula, calculate the distance between points (-3, 2) and (12, 10). 15 units 16 units 17 units 20 units

Simplify the complex rational expression. 1/ x + 3 / 1/x²-2x-15 + 1/x-5

Marcus reads in a magazine article that 62% of teenagers prefer Batman over Iron Man. He decides to test this so he takes a simple random sample of 50 people at Wal-Mart on a Saturday afternoon. 1. What is the probability that he finds exactly 40 Batman fans? 2. What is the probability that he finds fewer than 30 Batman fans? 3. What is the probability that Marcus will find more than 35 Batman fans?

I can calculate the conditional probability of A, given B, and interpret the answer in context. In New England, 84% of the houses have a garage and 65% of the houses have a garage and a back yard. What is the probability that a house has a backyard given that it has a garage? Enter you answer a decimal rounded to the nearest hundredth.

A guy is on top of a building looking down to his girl friend on the ground. The building is 12 feet high, and the girl friend is 25 feet away from the base of the building. What is the angle of depression from the guy to the girl friend? Disregard any adjustment for the height of the two humans.

Suppose the linear regression line = 4.009x - 77.531 predicts a pizza parlor's profits based on the number of pizzas sold. If x represents the number of pizzas sold, and ŷ represents the pizza parlor's profits in dollars, about how much can the pizza parlor expect in profits if it sells 325 pizzas? A. $1375 B. $1300 C. $1225 D. $1150

Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. a=13, b= 13, c=10 A. A=67°, B=67°, C = 46° B. A=46°, B=67°, C=67° C. A=68°, B=68°, C = 44° D. A=67°, B = 46°, C=67°

Find a formula for f¹(x) if f(x) =[x+1/ x+1]^3 ƒ-¹(x)=0 (ƒ-¹)'(x) = Hint: Undo the operations of f(x) from the outside in. Undo the cubed operation first.

can write trigonometric ratios of a right triangle, using my understanding of the Pythagorean theorem and special right triangles. If tan θ = 12/5 , what does cos θ =? 5/13 12/13 5/12 12/5

Find the mean, median, and mode for the data set below. Explain which measure best describes the data. 3 30 26 27 29 30 The mean is (Type an integer or decimal rounded to the nearest hundredth as needed.) The median is (Type an integer or a decimal.) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The mode is (Use a comma to separate answers as needed.) B. There is no mode.

A cooler contains thirteen bottles of sports drink: seven lemon-lime flavored and six orange flavored. You randomly grab a bottle and give it to your friend. Then, you randomly grab a bottle for yourself. You and your friend both get lemon-lime.

Calculate the given part of a circle for each problem below. Then, order the values from least to greatest. (The smallest value being 1 and the largest value being 4). The radius of a circle whose area is 400(pi) square inches The diameter of a circle whose area is 850 square inches The area of a circle whose radius is 2.5 in The area of a circle whose diameter is 8 in.

I can write trigonometric ratios of a right triangle, using my understanding of the Pythagorean theorem and special right triangles. If sin θ = 5/13, what does cos θ = ? 12/13 13/12 5/13 25/169

Solve the equation below by completing the square and then solving for x. 2x²-28x-2=-50 A. x= 2 or x = -18 B. x = 7 or x = 4 C. x = 2 or x = 12 D. x = -7 or x = 4