Answer:
a real number
Step-by-step explanation: You didn't list the choices- a real number is all positive numbers except 0
 
        
             
        
        
        
Answer:
see below
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We can find the radius from the diameter
r = d/2 = 34/2 = 17
V = (3.14) (17)^2 * 27
V =24501.42 m^3
The surface of a cone is found by
SA = pi r^2 + pi r  l where l is the slant height
We can find the radius from the diameter
r = 8/2 = 4
SA =(3.14) * 4^2 + 3.14 * 4*7
       =50.24+87.92
         138.16 in^2
The lateral surface area of a pyramid is found by taking the area of the sides
LSA = 4 * the area of a triangle
           we multiply by 4 since there are 4 sides
         = 4 * 1/2 b*h  where b is the base of the triangle and h is the height of the triangle.  (in this case it would be the slant height)
            = 2 * 8 *22
           =352 m^2
 
        
                    
             
        
        
        
Answer:

Step-by-step explanation:
 
        
                    
             
        
        
        
We can model the equation:y = m x + b, where y is the total profit and x is the number of hotdogs sold.The system of equations is:
90 = 40 m + b210 = 80 m + b---------------------b = 90 - 40 m210 = 80 m + 90 - 40 m210 - 90 = 40 m120 = 40 mm = 120 : 40m = 3b = 90 - 40*3b = 90 - 120b = - 30Answer: The equation is y = 3 x - 30
        
             
        
        
        
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Geometry</u>
- Volume of a Rectangular Prism: V = lwh
<u>Calculus</u>
Derivatives
Derivative Notation
Differentiating with respect to time
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
<u /> <u />
<u />
<u />
<u>Step 2: Differentiate</u>
- Rewrite [VRP]:                                                                                                  
- Differentiate [Basic Power Rule]:                                                                          
<u>Step 3: Solve for Rate</u>
- Substitute:                                                                                                            
- Multiply:                                                                                                                
Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.