Fall 2023 Midterm Exam

A "rotated" square is placed on a coordinate plane and two adjacent corners of the square are located at (- 5, – 8) and (1, – 2). a. What is the side length of the square? units Preview b. What is the area of the square? square units Preview Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 2: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity

questions 5 and 6 please

The question and answers are in the screenshot.

Find A^-1

What type of relationship exists between the number of pages printed on a printer and the amount of ink used by that printer? Jation but

During the test, the smallest 'volume per breath' is 0.7 liters, and this first happens for a breath that starts 2 seconds into the test. The largest volume per breath is 1.7 liters; this happens for a breath beginning 53 seconds into the test. By creating a math model for this patient's breathing, doctors would have more information to decide if abnormal breathing is happening for the patient during the test**. Note: Let's assume that the patient's breath is steady: that the largest breath is equidistant from the first small breath and the second small breath. a) Find a formula for the function b(t) whose graph models the test data for this patient. b(t) b) If the patient begins a breath every 5 seconds, what are the breath volumes during the first 30 seconds of the test? Hint: Your answer should be a list of numbers. Use the model from part (a) to find your answer(s), and write answers to 2 decimal places. liters **and also, more information to decide if the patient's breathing is…

The trendline is Y=0.918x+1.7355 and R^2 is 0.8237 If a student plugs the value 80 in the trendline for x, write a sentence explaning the 80 and what the answer means. Must show coversions.

Hello. I can not seem to get the right answer. How would you do this. Thank you.

Using a calculator, estimate the CRIME_RATE when PROP_CHANGE_INCOME=25% (note that in the dataset, the proportions are analyzed as numbers 0-100%).   Estimated Crime Rate for someone who has a 25% change in Household income over the past several years: Estimated model: = y =  125.52814  - 1.94182(x) y = 125.52814 - 1.94182= 76.98264 Write down both possible interpretations of your estimate.

Chapter 2, Section 1, Exercise 001 This exercise provides information about data in a survey of students.The survey students consisted of 157 females and 160 males.Find p^, the proportion who are female.Round your answer to three decimal places.p^=Enter your answer in accordance to the question statement

V7. VI1 = V /7. V11

House price y is estimated as a function of the square footage of a house x and a dummy variable d that equals 1 if the house has ocean views. The estimated house price, measured in $1,000s, is given by yˆy^ = 119.60 + 0.14x + 54.80d. b-1 Compute the predicted price (in $1,000s) of a house without ocean views and square footage of 1,600. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) predicted price= b-2. Compute the predicted price (in $1,000s) of a house without ocean views and square footage of 3,200.  predicted price=

3/7 of the students in a school are in sixth grade.     How many sixth graders are there if the school has 70 students? Show your thinking.   \

A model for the men’s 100-meter freestyle record times in seconds is given by y=(38,504.4888 + 44.37530536x^2)/(1+x+x^2) where x = 0 represents 1900. The model and the data points are shown in the graph below. Use this model to predict a reasonable record for a man to swim 100 meters in the year 2000. Explain how you determined your answer.

A model for the men’s 100-meter freestyle record times in seconds is given by y = (38,504.4888 + 44.37530536x^2)/(1 + x + x^2) where x = 0 represents 1900. The model and the data points are shown in the graph below. Use this model to predict a reasonable record for a man to swim 100 meters in the year 2000. Explain how you determined your answer.

Please see image attached. Thank you for the help. I am not sure if I'm right.

Escalate - Show every mynute steps in DETAILED!

according to the Florida agency for workplace the monthly average number of uneploment claims in a certain country is given by N (t)= 22.16t^2 - 238.5t + 2005 where t is the number of years after 1990.   A) During what year did the number of claims decrease?   b)Find the relative extrema and interpret it.

Can you help me know how to solve for x and k? It’s number 9 in the photo…

The equation T = 0.63 + 78 

The owner of an apple orchard has field of new trees that are growing and producing more apples each year. He wants to determine the average growth rate; percentage increase, of the amount of apples produced by these trees over time. The amount of growth varies each year; so he decides to find the geometric mean, or average The formula g = √a • √b is used to find the geometric mean of two numbers. Over two years, the growth rate was 2x^2% and 4x^8% . Find the average growth rate for these two years. Leave your answer in simplified radical form.