Answer: The filled out table is shown below in the attached image
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Explanation:
The letters A through J are one way to fill out the table. Though there are other possible orders.
Start at letter A, which is from the fact we have 40 people total
Then move to letter B. This is the total number who like pasta (26)
We have C = A-B = 40-26 = 14 people who don't like pasta
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Now move to cell D. This is the total who don't like netball, which is 21 people. There are E = A-D = 40-21 = 19 people who do like netball.
F = 4 is the number of people who don't like either thing (netball or pasta). So G = D-F = 21-4 = 17 people like pasta but don't like netball.
Of those people who like netball (E = 19), we have 9 who also like pasta. This is in cell H in the upper left corner. This means J = E-H = 19-9 = 10 people like netball but don't like pasta.
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So we have these values
- A = 40
- B = 26
- C = 14
- D = 21
- E = 19
- F = 4
- G = 17
- H = 9
- J = 10
The type of model shown in the structure of water given above is ball-and-stick model
The atomic structure consists of two hydrogen atoms and one oxygen atom (H-O-H)
However, water has some characteristics which makes it unique from other liquids. These characteristics include the following:
- Water is less dense as a solid than as a liquid.
- Water is polar
- Water is an excellent solvent
- Water has high heat capacity
- Water has high heat of vaporization.
- Water has cohesive and adhesive properties.
- Pure water is colorless
- Pure water is always tasteless and odorless.
<h3>What is a compound?</h3>
A compound is a substance which contains two or more elements which are chemically combined together.
Below are some examples of chemical compounds:
- Sodium hydroxide
- Calcium carbonate
- Tetraoxosulphate vi
So therefore, the type of model shown in the structure of water given above is ball-and-stick model
Learn more about chemical compounds:
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6*6*6*6*6
6*6
Are equivalent to 6^5 and 6^2
<h2>2.</h2><h3>Given</h3>
<h3>Find</h3>
- y·y'' +x·y' -16 in simplest form
<h3>Solution</h3>
It is convenient to expand the expression for y to ease determination of derivatives.
... y = 4x -6x²
... y' = 4 -12x
... y'' = -12
Then the differential expression can be written as
... (4x -6x²)(-12) +x(4 -12x) -16
... = -48x +72x² +4x -12x² -16
... = 60x² -44x -16
<h2>3.</h2><h3>Given</h3>
<h3>Find</h3>
- the turning points
- the extreme(s)
<h3>Solution</h3>
The derivative is
... y' = -16x^-2 + x^2
This is zero at the turning points, so
... -16/x^2 +x^2 = 0
... x^4 = 16 . . . . . . . . . multiply by x^2, add 16
... x^2 = ±√16 = ±4
We're only interested in the real values of x, so
... x = ±√4 = ±2 . . . . . . . x-values at the turning points
Then the turning points are
... y = 16/-2 +(-2)³/3 = -8 +-8/3 = -32/3 . . . . for x = -2
... y = 16/2 + 2³/3 = 8 +8/3 = 32/3 . . . . . . . for x = 2
The maximum is (-2, -10 2/3); the minimum is (2, 10 2/3).
Answer: OPTION C.
Step-by-step explanation:
<h3>
The complete exercise is: "Air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below:</h3><h3>
</h3><h3>
In this function 
is the air pressure at the surface of the earth, and 
is the height above the surface of the Earth, measured in meters. At what height will the air pressure equal 50% of the air pressure at the surface of the Earth"</h3><h3>
</h3>
Given the following function:
In order to calculate at what height the air pressure will be equal 50% of the air pressure at the surface of the Earth, you can follow these steps:
1. You need to substitute 
into the function:
2. Finally, you must solve for .
Remember the following property of logarithms:
Then, you get this result:
