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Questions in Grade High-school

[Done] The average heights of four samples taken from a population of students are shown in the table. Which of these is most likely closest to the average height of the population? | Sample size | Average height (inches) | |---|---| | 10 | 63 | | 20 | 54 | | 30 | 57 | | 40 | 59 | A. 63 B. 54 C. 59 D. 57

[Done] What are the foci of the graph $25 y^2-4 x^2=100$?

[Done] Determine the truth value of the inverse. Explain.

[Done] Give your answer in its simplest form. Dividing by [tex]\frac{3}{4}[/tex] is the same as multiplying by $\square$

[Done] Step 1: $=\frac{\sin (x-y)}{\cos (x-y)}$ Step 2: $\frac{\sin (x) \cos (y)+\cos (x) \sin (y)}{(A) \cos (y)-\sin (x) \sin (y)}$ Step 3: $\frac{\frac{\sin (x) \cos (y)+\cos (x) \sin (y)}{\cos (x)(B)}}{\frac{\cos (x) \cos (y)-\sin (x) \sin (y)}{\cos (x) \cos (y)}}$ Step 4: $\frac{\frac{\sin (x) \cos (y)}{\cos (x) \cos (y)}+\frac{\cos (x) \sin (y)}{\cos (x) \cos (y)}}{\frac{\cos (x) \cos (y)}{\cos (x) \cos (y)}-\frac{\sin (x) \sin (y)}{\cos (x) \cos (y)}}$ Step 5: $\frac{\tan (x)+\tan y}{1-\tan (x)(c)}$ The work shown is a way to derive $\tan \left(x+y=\frac{\tan (x)+\tan (y)}{1-\tan (x) \tan (y)}\right.$ What expressions go in the derivation of the tangent sum identity in place of $A, B$, and $C$? A: B: C:

[Done] An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

[Done] An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

[Done] To generate higher profits, producers must work to: A. increase their total supply. B. increase their total expenses. C. decrease their customer base. D. decrease their production costs.

[Done] The drawing below shows the floor plan of Mrs. Reyes' house. Find the area of the following: 1) Kitchen 2) Dining room 3) Living room 4) Toilet 5) Bedroom 1 6) Bedroom 2 Floor plan dimensions: - Kitchen: 2m x 2m - Dining Area: 3m x 3m - Living Room: 3m x 4m - Toilet: 2m x 3m - Bedroom 2: 3m x 3m - Bedroom 1: 7m x 5m Write your answers below. Use the formula in finding the area. Show your solution.

[Done] How much heat is needed to raise the temperature of 100.0 grams of water from 25.0°C to 55.0°C? Specific heat capacity of water is 4.184 J/g°C.