Answer:
Ans: -21.87 ≅ -22°C
Step-by-step explanation:
T(x)=-22+44e^-0.03x
  
Initial temperature (x = 0):
  
T(0) = = -22 + 44e-0.03(0) = -22 + 44(1) = 22°C
  
After 18 minutes (x = 18):
  
T(18) = -22 + 44e-0.03(18) = -21.87°C ≅ -22°C
 
        
             
        
        
        
Step-by-step explanation:
 you can see the steps above
 
        
             
        
        
        
Answer:
n=9
Step-by-step explanation:
because 3 times 9 =27 plus 17 =44
 
        
                    
             
        
        
        
<u>Answer:</u>
The equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.
<u>Solution:</u>
Given, line equation is y = x – 1 ⇒ x – y – 1 = 0. And a point is (-3, -2)
We have to find the line equation which is perpendicular to above given line and passing through the given point.
Now, let us find the slope of the given line equation.

We know that, <em>product of slopes of perpendicular lines is -1.
</em>
So, 1  slope of perpendicular line =  -1
 slope of perpendicular line =  -1 
 slope of perpendicular line = -1
Now let us write point slope form for our required line.

y – (-2) = -1(x – (-3))
y + 2 = -1(x + 3)
y + 2 = -x – 3
x + y + 2 + 3 = 0
x + y + 5 = 0
y = -x -5
Hence the equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.
 
        
             
        
        
        
Answer:
x = 1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
3(4x - 5) - 4x + 1 = -6
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 3:                    12x - 15 - 4x + 1 = -6
- Combine like terms:       8x - 14 = -6
- Isolate <em>x</em> term:                 8x = 8
- Isolate <em>x</em>:                          x = 1
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>:                    3(4(1) - 5) - 4(1) + 1 = -6
- Multiply:                               3(4 - 5) - 4 + 1 = -6
- Subtract:                              3(-1) - 4 + 1 = -6
- Multiply:                               -3 - 4 + 1 = -6
- Subtract:                              -7 + 1 = -6
- Add:                                     -6 = -6
Here we see that -6 does indeed equal -6.
∴ x = 1 is the solution to the equation.