The question is an illustration of volume, and the amount of water in the bucket at 45% full is 2.25 gallons
<h3>How to determine the amount of water?</h3>
The capacity of the bucket is given as:
Bucket = 5 gallons
At 45% full, we have:
Capacity = 45% * 5 gallons
Evaluate the product
Capacity = 2.25 gallons
Hence, the amount of water in the bucket at 45% full is 2.25 gallons
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231 / 385 = 0.6 diving the price it is by the price is was gives the answer
= 60%
You seem to have
.. g(x) = {(2x^2 -4x -16)/(x -4) . . . x ≠ 4
.. .. .. .. ..{ kx -16 . . . . . . . . . . . . . . x=4
The first expression can be simplified to
.. (2x^2 -4x -16)/(x -4) = 2(x +2)(x -4)/(x -4) = 2(x +2) . . . . x ≠ 4
At x=4, this simplified version has the value
.. 2(4 +2) = 12
To make the alternate definition of g(x) have that same value at x=4, we must have
.. k*4 -16 = 12
.. 4k = 28
,, k = 7
The constant k must be 7 for the function to be continuous at x=4.
D is the correct answer, first you have to write to you equations 1+ the absolute value of 2+ X equals nine and 1+ the absolute value of 2+ X equals -9 then you must subtract one from both sides
Answer:
4.5
Step-by-step explanation:
The scale factor is 2
This means that the sides are proportional by a factor of 2.
In other words, you multiply 2 with the side lengths of first trapezoid to get the side length of second trapezoid.
You can see the pattern:
12 goes with 24
4.5 goes with 9
7 goes with 14
<u>X goes with 9</u>
<u></u>
The "X" is the missing side.
As you can see, we multiply each number on the left-hand side by 2 to get the number on the right-hand side (larger trapezoid).
So, that means:
X multiplied by "2" will gives us 9, we can write:

Complete the equation and find x:

The missing side length in the original trapezoid is "4.5"