Description An experiment consists of drawing 1 card from a standard 52-card deck. What is the probability of drawing a spadespade? The probability of drawing a spadespade is . (Type an integer or a simplified fraction.)
Description Complete the following questions. (PLEASE WRITE ANSWERS IN A WORD DOCUMENT!!) -- LINK -- http://ogburn.org/wp-content/uploads/2016/05/Alg-I...
Description 1) Find sec ? if the terminal side of ? in standard position contains the point (4, -3). A. -¾ B. -5/3 C. 5/4 D. 4/5 2) Find tan ? if the terminal side of ? in standard position contains the point (-12, 5). A. -12/13 B. -12/5 C. -5/12 D. 5/12 3) Find the value of cot ? if ? is in standard position has a measure of 180°. A. 0 B. 1 C. -1 D. undefined 4) Which of the following is the reference angle for 230°? A. 130° B 50° C. 140° D. 40° 5) Which of the following is the reference angle for -150°? A. 30° B. 60° C. 90° D. 210° 6) Find the reference angle for the angle . A. B C. D. 7) If sin ?=-3/5 and the angle is in quadrant IV, what is cot ?? A. -3/4 B. 3/4 C. 4/3 D. -4/3 8) If csc ? = 3/2 and the angle is in quadrant II, what is sec ?? A. B. C. D. 9) Miranda and Travis visit an amusement park to ride a skycoaster. After the first few swings, the angle the skycoaster makes with the vertical is modeled by ?=0.4cos?t, with ? measured in radians and t measured in seconds. Determine the measure of the angle in radians for t = 1.5. A. 0 B. 0.4 C. 1 D. -0.4 10) The formula gives the distance of a baseball that is hit at an initial velocity of V0 feet per second at an angle of ? with the ground. If the ball was hit with an initial velocity of 85 feet per second and an angle of 45°, how far was it hit? Round to the nearest tenth. A. 0 ft. B. 2.7 ft. C. 159.7 ft. D. 225.8 ft.
Description Week 8 Discussion: Understanding Functions Required Resources Read/review the following resources for this activity: OpenStax Textbook Readings Lesson in Canvas Assignments in Knewton The Vertical Line Test and Graphs of Functions Graph a Quadratic Equation Radical Functions Initial Post Instructions In the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product. Here is another example: The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as: C = (5/9)*(F - 32), where F is the Fahrenheit temperature and C is the Celsius temperature. If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer? Our input is 77. C = (5/9)*(77 - 32) C = (5/9)*(45) C = 25 The equivalent temperature is 25 degrees Celsius. To complete the Discussion activity, please do the following: Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above). Arm length is a function of height. The circumference of a circle is a function of diameter. The height of a tree is a function of its age. The length of person's shadow on the ground is a function of his or her height. Weekly salary is a function of the hourly pay rate and the number of hours worked. Compound interest is a function of initial investment, interest rate, and time. Supply and demand: As price goes up, demand goes down. Follow-Up Post Instructions Respond to at least two peers in a substantive, content-specific way. Further the dialogue by providing more information and clarification.
Description Week 5 Discussion This week we've talked about polynomials and their properties. Polynomials show up in the real world a lot more than you would think! Applications can be found in physics, economics, meteorology, and more. One real-world example of a degree-two polynomial is the projectile motion equation used in physics: Details about this formula can be found at the brainfuse.com website. For example, if you hit a baseball at shoulder height (say about , you may have an initial velocity of around. The force of gravity is about . We can convert our miles to hour to feet per second (89.5 mph = 131.3 ft/s) and create an equation that would model the height of the ball at time t: Pick a baseball team average speed off the bat from this list. Pretend you are on that team and hitting a pitch. Using your height and the information in the table, create your own personalized equation as was done in the example above. Once you have your equation, find the zeros and the vertex using the techniques covered this week in Chapter 3. Show all your work! Compare the maximum height of your classmate's baseball to your own. Do you think the difference is more from the difference in initial height of the bat or in the speed of the pitch?
Description The Venn diagram below shows the number of participants in extracurricular activities for a junior class or 324 students. Find the probability that a student selected at random is in athletics or music class. Round to the nearest percent. A. 53% B. 55% C. 57% D. 67%
Description If the population in the year 2000 for School town is 1,600 and is increasing at a rate of 2.2% every 5 years, what is the projected population in the year 2025? Round to the nearest whole number. 1784 2757 8246 1432 A radioactive substance decays at a rate of y = ae-0.1483t, where t in in hours. Find the half-life of the substance. t = 0.8622 years t = 4.674 years t = 18.323 years t = 0.1028 years A paleontologist finds an unidentified bone. In the laboratory, she finds that the Carbon-14 found in the bone is ? of that found in living bone tissue. How old is the bone? Round to the nearest whole number. (use the equation for Carbon-14 half life found in your book) about 398 years about 916 years about 3976 years about 9155 years A house is purchased for $150,000. If the value of the house will appreciate 3.8% each year, how much will the house be worth in 5 years to the nearest dollar? $155,775 $181,387 $123,585 $180,750 You buy a used camper in 2000 for $25,000. Each year the value of the camper depreciates by 1.8%. To the nearest dollar, what would the value of the camper be in 5 years? $27,332 $22,830 $1,826.36 $22,848
