Answer:
Step-by-step explanation:
Formula for calculating the surface area of the box S = 2(LW+LH+WH) where
L is the length of the box
W is the width of the box
H is the height of the box
If the box is square based with dimension 4 * 4in, then L = W = 4in. substituting this values given into the formula we will have;
S = 2(4(4)+4H + 4H)
S = 2(16+8H)
S = 32+16H
<em>Hence, The function that represents the surface area of this box as a
</em>
<em>function of its height is S = 32+16H where H is the height of the box</em>
<em></em>
Given H = 6.5in, to evaluate the function, we will substitute h = 6.5in into the modeled equation;
S = 32+16H
S = 32+16(6.5)
S = 32+106
<em>S = 138in²</em>
<em>Hence the total surface area of the box is 138in²</em>
Y's minus y's and x's minus x's.
9-5= 4
8-2= 6
These are the dimensions for your rectangle. Multiply them together.
4*6= 24
Your area is 24ft^2
The given logarithmic equation solved for x is x = 10
<h3>Solving Logarithmic equations</h3>
From the question, we are to solve the given logarithmic equation.
The given logarithmic equation is
log((4x)/(8)) = log(x - 5)
To solve the given logarithmic equation, we will determine the value of the unknown variable.
The unknown variable in the equation is x.
From one of the rules of logarithm, we have that
If logₓY = logₓZ
Then,
Y = Z
Thus,
From log((4x)/(8)) = log(x - 5)
We can write that
(4x)/(8) = (x - 5)
Now, solve for x
(4x)/(8) = (x - 5)
Multiply both sides by 8
8 × (4x)/(8) = (x - 5) × 8
4x = 8x - 40
Subtract 8x from both sides of the equation
4x - 8x = 8x - 8x - 40
-4x = -40
Multiply both sides by -1
-1 × -4x = -1 × -40
4x =40
Divide both sides by 4
4x/4 = 40/4
x = 10
Hence, the solution of the equation is x = 10
Learn more on Solving logarithmic equation here: brainly.com/question/237323
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Answer:
5 hours 20 minutes.
Step-by-step explanation:
8 * 2/3
= 16/3
= 5 1/3
= 5 hours 20 minutes.
Answer:
7k
Step-by-step explanation:
