Roger

Imagine you make a quick survey into the Amazon Rainforest and you count 20 Tamarin monkeys (Saguinus imperator), 04 Blue-and-yellow macaws (Ara ararauna) and 01 Jaguar (Panthera onca), along a transect of 50 km2. Based on this information, calculate the following indices. Make sure you mention values with their corresponding units?

 Write an equation showing how to convert a water insoluble organic acid (RCOOH) into water soluble carboxylate salt? Thanks

1. What special problem do sociologists have in studying humans that physical scientists do not have when studying other topics? How do social scientists try to overcome this problem? 

2. Define the concept of social organization. Explain the four criteria for social organization.Thank you ^3^

link to picture: https://imgur.com/1uIrNQn

a. Find the slope of x cubed plus y cubed minus 72 xy equals 0 at the points left parenthesis 16 comma 32 right parenthesis and left parenthesis 32 comma 16 right parenthesis.

b. At what point other than the origin does the curve have a horizontal tangent​ line?

c. Find the coordinates of the point other than the origin where the curve has a vertical tangent line.

A. Find an equation for the line perpendicular to the tangent line to the curve y=x^3-16x+3 at the point ​(4​,3​).

b. What is the smallest slope on the​ curve? At what point on the curve does the curve have this​ slope?

c. Find equations for the tangent lines to the curve at the points where the slope of the curve is 32.

image: https://imgur.com/3og48GO

Find the slope of the curve at the given point P and an equation of the tangent line at P.

y=x^3-9x , P(1,-8)

How can you do this without derivatives? Thanks

link: https://imgur.com/a/AR6MCoU

https://imgur.com/a/Vb3ZOTs

sin (𝑥 + 𝜋/3)  + sin (𝑥 −𝜋/3) = 1

can you show your work with all solutions? thanks

sin(2𝑥) cos(𝑥) + cos(2𝑥) sin(𝑥) =√2/2

https://imgur.com/a/cxgyXta 

can you show your work with all solutions? thanks

https://imgur.com/a/CRSRCS9

tan(𝑥) + sec(𝑥) = 1

can you show all of your work with all solutions? thanks

2 sin3 𝑥 − sin2 𝑥 − 2 sin(𝑥) + 1 = 0

https://imgur.com/a/sDiasmF

can you show your work with all solutions? thanks

sin(3x)+sin(x)+cos(x)=0

https://imgur.com/a/aK4gANW

can you show all solutions with your work? thanks

sin(2x - pi/4) = root 2/2 

Can you show your steps too? thanks 

https://imgur.com/a/OLEfppa

tan(3x)=-1 

Can you show your steps too so that I can understand? Thanks

The sum of two real numbers is A and the sum of their reciprocals is B, where A and B are nonzero. What is the value of the sum of the squares of these two real numbers? Could you also show your work so I can follow through with your logic, please? Thanks

A fast-food chain claims one small order of its tater tots weighs 90 grams. Ava thinks she is getting less than what the restaurant advertises. She weighs the next 14 random orders of tater tots before she eats them and finds the sample mean is 89.3 grams and the standard deviation is 3.71 grams. What conclusion can be drawn at α = 0.05?

 A.There is not sufficient evidence to prove the fast-food chain advertisement is true.

B. There is sufficient evidence to prove the fast-food chain advertisement is false.

C. Ava does not have sufficient evidence to reject the fast-food chain's claim.

 D.Ava has sufficient evidence to reject the fast-food chain's claim.

 E.There is not sufficient data to reach any conclusion.

A recent study of high school students shows the percentage of females and males who have at LEAST one notation in their school record for inappropriate behavior. A simple random sample of high school students was interviewed. The students were asked whether they had a notation for inappropriate behavior in their school record. Of the 100 females, 21 answered yes, as did 145 of the 400 males.

Part A: Construct and interpret a 99% confidence interval for the difference in population proportions of females and males who have at LEAST one notation for inappropriate behavior. Be sure to state the parameter, check conditions, perform calculations, and make conclusion(s).

Part B: Does your interval from part A give convincing evidence of a difference between the population proportions? Explain.

A survey of 450 randomly chosen US adults found that 35% of the 200 men and 40% of the 250 women attended a college football game during the past month. Do these data provide statistical evidence at the α = 0.01 level that men are more likely than women to attend football games? Can you also say what the parameter, check conditions, perform calculations, and make a conclusion?

In a class at a major university, three tests are given during the semester. At the beginning of the semester, there are x students in the class. Every student in the class takes the first test, and the average on the first test is 72%. After the first test, 20% of the students drop the class. Every student remaining in the class takes the second test, and the average on the second test is 75%. After the second test, 248 

students drop the class. Every student remaining in the class takes the third test, and the average on the third test is 76%. If the average of all of the students’ tests during the semester was 74%, then how many students were originally in the class?