Detailed description examples and pictures minimum of 7 why did you choose this topic of geometry? How dose it relate to geometry? Use vocab words references from chapters and notes
Read the Passage! Do you agree or disagree, or can you relate to his or her opinion in the post? ADD any thoughts or additional information that you may have found concerning their topic?
National polls are conducted to gain data and knowledge on a specific topic. For example, Cleveland Clinic offers a survey to gain insight on patient experience and compare the results to competitors. “In 2019, Cleveland Clinic began administering the Press Ganey Medical Practice Survey for use in the physician office setting to measure patients’ perspectives of outpatient care” (Press Ganey, 2022). The resulted showed the sample sizes and the perctange sizes from 2020 and 2021. For instance, in the catergory ‘appointment access’, 2020 surveyed 97,763, which was 70.2 % and in 2021 surveryed 106,998, which totaled 75.2%. These polls are directed to the individuals that receive care from the facility. By using these polls, they can adjust their polices and improve their quality care standard.
Question 1
1. (10 Points) Let’s consider the following nonhomogeneous first-order ODE: 3.2y 12t We first investigated how to solve such an ODE with the use of the Linearity Principle, which will be the focus of this question.
Do NOT solve for it… just tell me what the guess should be and why it is appropri4e.
Question 2
2. (10 Points) Suppose a bucket is being filled with 2 cups per minute of water, concentrated with 2 grams per cup of sugar. The concentrated water is then being drained at a rate of 3 cups per minute. We assume the bucket is initially filled to the brim with 100 cups of clean water (no sugar at first), and is always well-mixed. The amount of sugar (grams) in the bucket, y, after t minutes can be modeled by: kS
4 100-t
In 431 NFL football games that went to overtime, the teams that won the coin toss went on to win 235 of those games. Review the NFL Overtime Rules. If the coin toss method is fair, we expect that the teams winning the coin toss would win about 50% of the games. Discuss, using statistical terms, the fairness of the overtime rules. Does the data support fairness or not?
1.NASA has picked up three messages from Proxima Centauri. After careful analysis, scientists have determined that “Flock Tecor Culdon” means “Missile Explosion Danger”, that “Edwan Mynor Tecor” means “Fire Danger on Board” and that “Culdon Gimilzor Zondor” means “Imminent Gas Explosion”. What is the meaning of the word “Flock“?
2. At a conference 12 members shake hands before and after the meeting. How many handshakes were there at the conference?
3. Which number continues the series: 144 | 121 | 100 | 81 | 64 |
4. A jeweller has nine golden statuettes, which belong to a new line of high-design ornaments. He knows that one of them is a little heavier than the others, but the difference isn’t such that you can tell by eye.
He will therefore have to use a very sensitive double scale to find out which of them he can sell at a higher price.
With a careful calculation of the number of statuettes to place on each arm, what is the minimum number of times he will have to do this operation to be 100% sure of identifying the one that weighs the most?
Choose from 1 to 10.
5.“One Hundred Soldiers Went to War”.
Identify 2 options that together make the statement unequivocally true.
6.A new humanoid robot is governed by the algorithm in the figure: what word will it say?
7. What is the output of the following flowchart if a=13 and b=7?
8. Identify the diagram that satisfies the set relationship between the given terms:
9. Which of these graphs would you use to represent the daily number of sales over the past two years?
10. The data represented in the following scatterplot has a relationship:
11. Considering the logical and graphical relationship between these two variables, we can say that between them there is:
12. Considering the performance of a sports team in the first six months of the season, what is the percentage of games won by the team?
13. Considering the performance of a sports team in the first six months of the season, which month was the worst for the team?
14. The graph below shows the results obtained by rolling two dice of different colours 20 times each. What is the weighted average of the results on the blue dice?
15. The graph below shows the results obtained by rolling two dice of different colours 20 times each. Assuming that the dice are not rigged, what is the probability that, after a further roll, the average of the orange die increases?
16. The graph shows the monthly earnings of a company from April to August. As a percentage, how much more did the company earn in June than in April?
17. The chart above shows a company’s monthly earnings from April to August. The graph below shows the number of shares of the same company in each month.
As a percentage, how much did earnings per share increase from May to June?
Solving one-step equations. How do you solve one step equations?
Ex. x-9=5 Check. x-9=5
+9=+9 14-9=5 ✅
x=14
Solve the problems below. Then, check your answers.
| b-4= 12 | c+12=12 |
| 18z=-54 | 63x=-252 |
| 3+p=-8 | 15+b=23 |
| -15+n=-9 | m-9=-13 |
| 14b=-5 | -104= 8x |
Find out the value of sinx.x
Exercise III (2 x 10 = 20 points)
Introduction
Let’s Explore! Because a polynomial is only a multi-term algebraic expression, it’s not as difficult as it might seem. Polynomials typically have multiple terms, each of which may be a variable, a number, or a combination of both. While some employ polynomials more deliberately, some people use them subconsciously throughout the day.
Here are three common, everyday things that professionals are known to use polynomials for:
Directions
Provide some examples outside of math class of how you could apply your knowledge of polynomials.
Instructions: Write up neat, organized solutions to ALL problems ON YOUR OWN. Be sure to include acknowledgment of anyone who you worked with or received help from.
Problem 1 For what positive values of b do. y°(t) + by'(t) + 4y(t) = 0 have solutions that are overdamped oscillators? Explain.
Problem 2 An inductor (L =1 II) and resistor (R = 0.1 Ohms) are joined in series with a voltage source with E(t) = 10 — 2t volts. If there is no current at time t = 0, find an expression for the current in the circuit at time t. Hint: Go back to the handout on circuits. Which variable is used to denote the current? What is the relevant differential equation for the cumnt?
Problem 3 Find the inverse Laplace Transforms, by manipulating the functions to match a form in our table.
(a) Y(,) = — rft (b) Y(s) (,t1) ‘2F4 (c) Y(s) =
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