Prove that
For any set A,B,C
(A×B)×C equivalence A×B×C equivalence A×(B×C).

Answer:

3 x n x p x 6

3×6×n×p

18np

is answer

The mass of the CO2 produced IS 630 Kg

Gasoline is a kind of fuel that is composed mostly of isooctane. In most engines, gasoline is widely used hence the demand for the product is high. We know that the combustion of an alkane (of which gasoline is one) would produce carbon dioxide and water according to a balanced reaction equation.

The balanced reaction equation for the combustion of gasoline is shown in the image attached to this answer.

Since  a Puerto Rico hospital uses 3 gallons of gasoline per hour, and there are 24 hours in a day, it the follows that 72 gallons of gasoline are used per day. This 72 gallons is the equivalent of 272.88 L

Now;

Given that the density of gasoline = 748.9 g/L

Mass of gasoline = 748.9 g/L * 272.88 L = 204 Kg

Number of moles of gasoline =  204 * 10^3/114 g/mol = 1789.5 moles

If 2 moles of gasoline produces 16 moles of CO2

1789.5 moles produces  1789.5 moles * 16 moles/2 moles = 14316 moles

Mass of CO2 =  14316 moles * 44 g/mol = 630 Kg

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When x = 13, the equation that is true is option D) 5(x - 9) = 20.

To determine which equation is true when x = 13, we can substitute the value of x into each equation and see which equation holds true. Let's go through each option:

A) 3(18 - x) = 67

Substituting x = 13:

3(18 - 13) = 67

3(5) = 67

15 = 67

The equation is not true when x = 13. Therefore, option A is false.

B) 4(9x) = 23

Substituting x = 13:

4(9*13) = 23

4(117) = 23

468 = 23

Again, the equation is not true when x = 13. Therefore, option B is also false.

C) 2(x - 3) = 7

Substituting x = 13:

2(13 - 3) = 7

2(10) = 7

20 = 7

Once again, the equation is not true when x = 13. Therefore, option C is false as well.

D) 5(x - 9) = 20

Substituting x = 13:

5(13 - 9) = 20

5(4) = 20

20 = 20

Finally, the equation is true when x = 13. Therefore, option D is true.

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Note: the translated questions is

X = 13, which equation is true?

Answer:

the unit rate is 12 or 67

The students error is in step 3 and the correct solution is g(x) = 2x² + 4x - 4

From the question, we have the following parameters that can be used in our computation:

The steps to solve the expression

From step 2 to step 3, we have

g(x) = 2(x + 1)(x + 1) - 6

g(x) = 2(x² + 1x + 1) - 6

The step 3 is incorrect

Because when the expression is expanded, we have

g(x) = 2(x² + 2x + 1) - 6

This gives a solution of

g(x) = 2x² + 4x - 4

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Answer:

p = 8

Step-by-step explanation:

Divide -5 to both sides

-5p = -40

5p = 40

p = 8

So p = 8

Answer:

its 3rd choice lol

Step-by-step explanation:

The corrected function that represent the height of the plant is h(s) = 0.004s + 37.

Using the provided growth rate, the plant's height, h, can be described as a function of the number of hours of sunshine, s:

h(s) = 0.004s + 37

This function indicates that the plant's height increases by 0.004 millimeters every hour of sunlight, starting at a height of 37 cm.

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Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.

To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.

4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.

To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8

Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8

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Answer:

B

Step-by-step explanation:

took the test

The absolute value of x means that all negative values are transformed into positive values.

Graphing the absolute value function, we have:

Then, in order to graph the function g(x) = |x + 7|, let's first calculate some points that are solutions to this equation:

Graphing g(x), we have:

The transformation needed to graph g(x) from f(x) is a translation (horizontal shift) of 7 units left.

Therefore the correct option is D.

To find the value of Az in the geometric sequence, we can use the given information. The geometric sequence is represented as follows: A3, 60, 160, 06 = 9.

From this, we can see that the third term (A3) is 60 and the common ratio (r) is 160/60.

To find Az, we need to determine the value of the nth term in the sequence. In this case, we are looking for the term with the value 9.

We can use the formula for the nth term of a geometric sequence:

An = A1 * r^(n-1)

In this formula, An represents the nth term, A1 is the first term, r is the common ratio, and n is the position of the term we are trying to find.

Since we know A3 and the common ratio, we can substitute these values into the formula:

60 =\(A1 * (160/60)^(3-1)\)

Simplifying this equation, we have:

\(60 = A1 * (8/3)^260 = A1 * (64/9)\)

To isolate A1, we divide both sides of the equation by (64/9):

A1 = 60 / (64/9)

Simplifying further, we have:

A1 = 540/64 = 67.5/8.

Therefore, the first term of the sequence (A1) is 67.5/8.

Now that we know A1 and the common ratio, we can find Az using the formula:

Az = A1 * r^(z-1)

Substituting the values, we have:

Az =\((67.5/8) * (160/60)^(z-1)\)

However, we now have the formula to calculate it once we know the position z in the sequence.

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99.73 % of the points on a process control chart to fall within the UCL and LCL.

Given that,

We have to find the percentage of the points on a control chart to fall within UCL and the LCL.

We know that,

Calculating the sample data's standard deviation,. Adding three times to that sum. For the UCL, add (3 x to the average) and for the LCL, deduct (3 x from the average).

In control chart , control limits UCL and LCL are three standard deviations either side of the mean , so 99.73% of points are within the UCL and LCL.

Therefore, 99.73 % of the points on a process control chart to fall within the UCL and LCL.

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Answer:

-1/3

Step-by-step explanation:

y2 - y1 / x2 - x1

(1,2)(4,1)

1-2 / 4-1

-1/3

Answer:

4/6

Step-by-step explanation:

(1/6 times 4)make 4 into a fraction and that is 4/1  multyply the numerator and denominator 6x1=6 so 6 is the denominator and 4x1 is 4 so 4 is the numerator so its 4/6

The expression that represents the fraction is 1/6 * 1/4 or 1/24

The given parameters are:

Amount of candy = 1/6 pounds

Number of bags = 4

The expression that represents the amount in each bag is:

Amount = Amount of candy/Number of bags

This give

Amount = 1/6 / 4

Express as product

Amount = 1/6 * 1/4

Evaluate

Amount = 1/24

Hence, the expression that represents the fraction is 1/6 * 1/4 or 1/24

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Answer:

Step-by-step explanation:

Slope of the line:

\(m = \frac{y-y1}{x-x1} \\\)

Given:

slope = -3/4

point (x1,y1) = (2, -1)

Substitute and solve

\(m = \frac{y-y1}{x-x1} \\-\frac{3}{4} = \frac{y-(-1))}{x-2} \\-3(x-2) = 4(y+1)\\-3x + 6 = 4y + 4 \\Transpose\\4y = -3x + 6 - 4\\4y = -3x + 2 \\y = -3/4x + 2/4\\y = -3/4x + 1/2\\OR\\4y +3x - 2 = 0\)

1/2 is the y-intercept

(0,1/2)

Since we have 2 points already, we can then graph the line.

(2, -1) and (0, 1/2)

Answer:

w(25) = 96

There are 96 wolves in the year 2020

Step-by-step explanation:

Given:

\(w(x)=14\cdot 1.08^{x}\)

w(25) =

\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)

Number of years : 1995 + 25 = 2020

In 2020, there are 96 wolves

Answer:

thanks me later mark me the brainliest

The mistakes that were made regarding the transformation are:

It should be noted that a transformation simply means the changing of the position of an object

In this case, the transformation is incorrect as he applied the reflection to the pre-image first and used an incorrect angle of rotation around point P.

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Answer:

5

Step-by-step explanation:

2(x+6)=22

(x+6)=11

x=5

The potential limitations to a research study are -

Research studies are done to discover new information or to answer a question about how we learn, behave and function with the end-goal of benefitting society.

Given are the reasons that are potential limitations to a research study.

The potential limitations to a research study are -

Therefore, the potential limitations to a research study are -

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Answer:

A= x(950-x)

Step-by-step explanation:

Answer:

4 hours.

Step-by-step explanation:

First we need to subtract $480 from $708.

$708-$480= $228.

Because the hourly rate is $57 we need to divide 228 by 57.

228÷57=4

The answer is 4 hours.

Answer:

\(\frac{8}{x}\)

Step-by-step explanation:

what is the sum 3/x+9+5/x-9

\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\)     (add \(\frac{3}{x}\) and \(\frac{5}{x}\))

\(\frac{8}{x} + 9 - 9 =\)            (solve 9 - 9 = 0)

\(\frac{8}{x}\)                           ( your answer)

The perimeter of the rectangle created by the given points (-4, 4), (3, 4), (-4, -3), and (3, -3) is 28 units. The length of each side is calculated, and the sum of all four sides gives the perimeter. Option D.

To find the perimeter of the rectangle created by the given points, we need to calculate the sum of the lengths of all four sides.

Let's calculate the length of each side:

Side 1: The distance between (-4, 4) and (3, 4) along the x-axis is 3 - (-4) = 7 units.

Side 2: The distance between (-4, 4) and (-4, -3) along the y-axis is 4 - (-3) = 7 units.

Side 3: The distance between (-4, -3) and (3, -3) along the x-axis is 3 - (-4) = 7 units.

Side 4: The distance between (3, -3) and (3, 4) along the y-axis is 4 - (-3) = 7 units.

Now, let's sum up the lengths of all four sides:

Perimeter = Side 1 + Side 2 + Side 3 + Side 4

Perimeter = 7 + 7 + 7 + 7

Perimeter = 28 units

Therefore, the perimeter of the rectangle created by the given points is 28 units. Option D is correct.

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Answer:

x=4.3

Step-by-step explanation:

2+6x=28

-2

6x=26/6

The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

The correct answer is D.

The function f(x) has some specific characteristics as shown in the graph.

The graph of f(x) has five intercepts, as can be seen from the graph.

The intercepts of f(x) can be determined by observing where the graph of f(x) crosses the x-axis.

The function f(x) intercepts the x-axis at five different points: -6 only, -2, -1, 1, and 3 only.

At these points, f(x) = 0.
Furthermore, the graph of f(x) is increasing from -∞ to -6, then decreasing from -6 to -2.

The graph of f(x) then increases from -2 to -1, decreases from -1 to 1, increases from 1 to 3, and finally decreases from 3 to +∞.

Hence, we can deduce that the graph of f(x) has a local maximum point at x = -6, a local minimum point at x = -2, and another local minimum point at x = 3.
We can also conclude that f(x) is an odd function, meaning that f(-x) = -f(x).

This can be deduced from the symmetry of the graph about the origin.

Finally, we can see from the graph that the function f(x) is continuous everywhere except at x = -2 and x = 3.

At these points, f(x) is not defined.
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

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Answer:

Bachelors = $51,000

Masters = $66,000

Step-by-step explanation:

M + B = 117,000

M = 2B - 36,000

2B - 36,000 + B = 117,000

3B = 153,000

B = 51,000

M = 2(51,000) - 36,000 = 66,000

The yearly salary of a bachelor's degree and a master's degree is 51 thousand and 66 thousand dollars respectively.

To write numerical expressions from given statements use logic as what is twice of a number what is 6 times of a number and many more.

Suppose a is thrice of b means a is 3 times as big as b.It can be written as a = 3b.

According to the given question  the average yearly salary of an individual whose final degree is a masters is 36 thousand dollars less than twice that of an individual whose final degree is a bachelors.

Assuming yearly salary of a bachelor's degree is x thousand dollars.

∴ yearly salary of an individual with master's degree is

= (2x - 36) thousand dollars.

Given combining these two individual they make 117 thousand dollars.

∴ x + (2x - 36) = 117

 3x = 117 + 36

 3x = 153

   x = 153/3

   x = 51.

So, Yearly salary of an individual who has a bachelors degree is 51 thousand dollars and yearly salary of an individual who did masters is {(2×51) - 36} = 102 - 36 = 66 thousand dollars.

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Answer: Answer C

Step-by-step explanation:

Because it is a reflection of the Y-axis, the X-coordinates would remain the same but the Y-coordinates would change.

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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