Answer:
5<4
Step-by-step explanation:
This inequality is not correct though.
5-7+7<-3+7
5<4
 
        
             
        
        
        
Answer:
b. would be the answer bc it goes in a line if you were to connect the dots
 
        
             
        
        
        
Multiply amount sold by commission rate:
4500 x 0.13 = 585
She made $585 last week.
Multiply amount made in 1 week by 52 weeks ( 1 year = 52 weeks)
585 x 52 = 30,420
She made $30,420 in 2011
 
        
             
        
        
        
Answer:
 the rate of change of the water depth when the water depth is 10 ft is;  
Step-by-step explanation:
Given that:
the inverted conical water tank with a height of 20 ft and a radius of 8 ft  is drained through a hole in the vertex (bottom) at a rate of 4 ft^3/sec. 
We are meant to find the  rate of change of the water depth when the water depth is 10 ft.
The diagrammatic expression below clearly interprets the question.
From the image below, assuming h = the depth of the tank at  a time t and r = radius of the cone shaped at a time t
Then the similar triangles  ΔOCD and ΔOAB is as follows:
 ( similar triangle property)
    ( similar triangle property)


h = 2.5r

The volume of the water in the tank is represented by the equation:



The rate of change of the water depth  is :

Since the water is drained  through a hole in the vertex (bottom) at a rate of 4 ft^3/sec
Then,

Therefore,

the rate of change of the water at depth h = 10 ft is:




Thus, the rate of change of the water depth when the water depth is 10 ft is;  
 
        
             
        
        
        
The equation which is equivalent to  is
 is  or x = 6 (
 or x = 6 ( ).
).
<u>Step-by-step explanation:</u>
Given Equation:
            
As we know, in terms of logarithmic rules, when b is raised to the power of y is equal x:
            
Then, the base b logarithm of x is equal to y
            
Now, use the logarithmic rule for the given equation by comparing with above equation. We get b = x, y = 2, and x = 36. Apply this in equation,
             
             
When taking out the squares on both sides, we get x = 6. Hence, the given equation can be written as 