Name the property shown by the statement. (5 + m) + n = 5+ (m + n)

The average rate of change of \(f(x)\) on \(12\le x\le36\) is the difference quotient

\(\dfrac{f(36) - f(12)}{36 - 12} = \dfrac{28 - 34}{24} = \boxed{-\dfrac14}\)

Answer:

16

Step-by-step explanation:

:)

Answer:

18

Step-by-step explanation:

1/3 of 18 is 6.............

:)

Answer:

y=x+4

Step-by-step explanation:

Use slope formula: (y2-y1)/(x2-x1)

(6-4)/(2-0)

2/2

1

Slope Intercept Form: y = m(slope) times x plus b(y-intercept)

y=1x+b

Plug in one of your points into the equation:

4=1(0)+b

4=0+b

4=b

Final Answer: y=x+4

Sorry if this is confusing; this is my first answer.

The pattern in y = x² exhibits a nonlinear increase in y as x increases, forming a U-shaped curve, while the pattern in y = 15 + x shows a linear increase in y as x increases at a constant rate.

The patterns in the equations y = x² and y = 15 + x differ in terms of the direction of change. In the equation y = x², the pattern shows an increase in y as x increases.

As x increases from negative to positive values, the corresponding y values also increase, forming a symmetric U-shaped curve. The rate of increase for y becomes steeper as x moves further away from zero.

On the other hand, in the equation y = 15 + x, the pattern shows a linear increase in y as x increases. As x increases, the corresponding y values increase in a straight line.

The rate of increase for y remains constant at one unit per increase in x. This linear pattern reflects a constant upward shift of the graph as x increases.

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Answer:

Step-by-step explanation:

The standard form for this function is

y = Asin(Bx - C) + D where

A is the amplitude,

B is used to find the period in the formula \(period=\frac{2\pi}{B}\),

C is used to find the phase shift in the formula \(ps=\frac{C}{B}\),

and D is the midline which either moves the function up or down from its natural midline of 0.

We have no given phase shift, so there is no C value. The amplitude is easy; we just fill in A as 4. The period is another story:

\(\frac{3\pi}{2} =\frac{2\pi}{B}\) and we solve for B by cross multiplying:

3πB = 4π and

\(B=\frac{4\pi}{3\pi}\) so

\(B = \frac{4}{3}\) so the function is

\(y=4sin(\frac{4}{3}x)+5\)

Answer:

Both are quadrant

Step-by-step explanation:

The floor function of a number is taken out to get the greatest integer that is less than or equal to the number.

To get the floor of any number assume the y-axis of the graph and on that axis plot the number, when you plot the number, the integer just below that point is known as the floor for that number.

function,  \(f(x)=\lfloor{x}\rfloor\)

a.)  for f(2),

\(f(x)=\lfloor{x}\rfloor\\f(2)=\lfloor{2}\rfloor\)

for a whole number, the number itself is the floor of the number. thus, the function will return the value as 2.

b.)  for f(6.8),

\(f(x)=\lfloor{x}\rfloor\\f(6.8)=\lfloor{6.8}\rfloor\\f(6.8)=6\)

for the number 6.8, the ceiling will be 6 as 6 is the greatest integer that is less than 6.8.

c.)  for f(-3.3),

\(f(x)=\lfloor{x}\rfloor\\f(-3.3)=\lfloor{-3.3}\rfloor\\f(-3.3)=-4\)

for the number -3.3, the ceiling will be -4 as -4 is the integer that will be on the floor when seen on the negative number line.

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Answer:

length= 8 width = 4

Step-by-step explanation:

24-8=16

16/2=8

8+8+4+4=16+8=24

Answer: $8,500

Step-by-step explanation:I{Prt}

The radius of the cone is 783.84/√h

A cone is the surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex).

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

The volume of a cone is expressed as;

V = 1/3πr²h

643072 × 3 = 3.14 × r²h

r²h = 614400

r² = 614400/h

r = 783.84/√h

therefore the radius of the cone is 783.84/√h

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Answer: change to inches:41 inches tall. 31 inches wide. perimeter:144 inches. perimeter insulation: costs $72

Step-by-step explanation:

Answer:

Step-by-step explanation:

Note: 1 foot is made up of 12 inches.

3 feet 7 inches = 3 * 12 + 7 = 36 + 5 = 41

2 feet 7 inches = 2 * 12 + 7 = 24 + 7 = 31

Part A

P = 2L + 2W                   Substitute the above Values into this equation

P = 2*41 + 2*31              Combine

P = 82 + 62                    Add

Answer: P = 144

Part B

1 inch costs 0.5 dollars

144 inches cost x

1/144 = 0.5/x              Cross Multiply

x = 144 * 0.5

Answer: x = 72 dollars

Answer:

(x(t), y(t), z(t)) = (4 + t, 1 - t, 8 + 4t)

xy - plane    (x, y, z) = (2, -1, 0)

yz - plane    (x, y, z) = (0, 5, -8)

xz - plane     (x, y, z) = (5, 0, 12)

Step-by-step explanation:

The given point (x, y ,z) = (4, 1, 8)

The plane x -y + 4z = 2

Normal vector (n) = < 1, -1, 4 >

The equation of line through point (4, 1, 8) and the plane is:

(x(t), y(t), z(t)) = (4, 1, 8) + t(1, -1, 4)

(x(t), y(t), z(t)) = (4 + t, 1 - t, 8 + 4t)

Any point on the line P(x, y, z) = ( 4 + t, 1 - t, 8 + 4t)

xy-Pane ⇒ z = 0

8 + 4t = 0

4t = - 8

t = -8/4

t = -2

∴

(x, y, z) = (4 - 2, 1 - 2, 8 + 4(-2))

(x, y, z) = (2, -1, 0)

yz-plane ⇒ x = 0

4 + t = 0

t = -4

∴

(x, y, z) = (4 + (-4) , 1-(-4), 8 + 4(-4)

(x, y, z) = (0, 5, -8)

xz-plane ⇒ y = 0

1 - t = 0

-t = -1

t = 1

∴

(x, y, z) = ( 4 + 1, 1 - 1, 8 + 4(1) )

(x, y, z) = (5, 0, 12)

Answer:

3.8

Step-by-step explanation:

Answer:

last option is the answer; all values greater than 12

Step-by-step explanation:

2/3x - 5 > 3

2/3x > 8

x > 24/2

x > 12

Answer:

the last one

Step-by-step explanation:

I took the test

Using linear approximation, we can estimate the values of g(1.9) and g(2.1) by approximating the function with a straight line tangent to the curve at a known point.

This method provides a close approximation of the function values based on the linear relationship between small changes in the input and output of the function. Linear approximation, also known as tangent line approximation or the method of differentials, is a technique used to estimate the value of a function near a known point by using the equation of a tangent line to the curve at that point. The linear approximation is based on the observation that for small changes in the input, the function behaves approximately like a straight line.

To estimate g(1.9), we can start by finding the equation of the tangent line to the curve of the function g(x) at a known point, let's say (1, g(1)). The equation of the tangent line can be written as y = g'(1)(x - 1) + g(1), where g'(1) represents the derivative of g(x) evaluated at x = 1. Using this equation, we can substitute x = 1.9 to estimate g(1.9). Similarly, to estimate g(2.1), we find the equation of the tangent line to the curve at x = 2 and substitute x = 2.1 into the equation to estimate g(2.1).

The linear approximation provides a good estimate of the function values near the known points, but it becomes less accurate as the distance from the known points increases. It is important to note that the accuracy of the estimation depends on the behavior of the function and the range of values used for the linear approximation.

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To find the average number of bits required to encode this source using a Huffman code, we need to first construct the Huffman code for the given probabilities. The Huffman code assigns shorter codes to more probable values and longer codes to less probable values. We can start by listing the probabilities in descending order:

0.2, 0.15, 0.15, 0.15, 0.15, 0.1, 0.1

Next, we group the two least probable values and assign them a code of 0. We then repeat this process, grouping the next two least probable values and assigning them a code of 10. We continue until we have assigned codes to all values:

7: 0
1: 1000
2: 1001
3: 1010
4: 1011
5: 110
6: 111

We can see that the average number of bits required to encode this source using the Huffman code is:

(0.2 x 1) + (0.1 x 4) + (0.1 x 4) + (0.15 x 4) + (0.15 x 4) + (0.15 x 3) + (0.2 x 3) = 2.771 bits

Therefore, the correct answer is b) 2.771 bits.
To find the average number of bits required to encode this source using a Huffman code, follow these steps:

1. Arrange the probabilities in descending order: 0.2, 0.15, 0.15, 0.15, 0.15, 0.1, 0.1.

2. Build the Huffman tree:
- Combine the two smallest probabilities (0.1 and 0.1) into a single node with a probability of 0.2.
- Combine the next two smallest probabilities (0.15 and 0.15) into a single node with a probability of 0.3.
- Combine the next smallest probability (0.2) with the previously created 0.2 nodes to create a node with a probability of 0.4.
- Combine the remaining 0.3 and 0.4 nodes to create the root node with a probability of 0.7.

3. Assign binary codes to each value based on the Huffman tree:
- Value 1: 111
- Value 2: 110
- Value 3: 101
- Value 4: 100
- Value 5: 011
- Value 6: 010
- Value 7: 00

4. Calculate the average number of bits required to encode the source using the assigned binary codes and their probabilities:
- (3 * 0.1) + (3 * 0.1) + (3 * 0.15) + (3 * 0.15) + (3 * 0.15) + (3 * 0.15) + (2 * 0.2) = 0.9 + 0.9 + 1.35 + 1.35 + 0.4 = 2.771 bits

So, the average number of bits required to encode this source using a Huffman code is 2.771 bits, which corresponds to option (b).

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Height from Bottom=-137.14 feet

To determine the height of a person from the bottom of the London Eye after traveling 5/12 of the way around, we can use the following calculations:

Radius of the London Eye (r) = 221 feet

Circumference of the London Eye (C) = 2πr = 2 * 3.14159 * 221 = 1387.92 feet

Arc Length for 5/12 of the circumference = (5/12) * C = (5/12) * 1387.92 = 579.14 feet

Total Height of the London Eye = 2 * r = 2 * 221 = 442 feet

Height from Bottom = Total Height - Arc Length = 442 - 579.14 = -137.14 feet

The negative value indicates that the person is below the starting point or at a height below the ground level of the London Eye.

Please note that the height calculated is relative to the bottom of the London Eye, and a negative value suggests that the person has gone below the initial starting point.

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1 pound is equivalent to 16oz

Answer:

$3066.58

Step-by-step explanation:

$2893 x 1.06= $3066.58

Hope this helps!

Therefore, we have indirectly proven that if n is an odd number, and its negation is false, then the original statement "if n is an odd number" is true.

To construct an indirect proof of the statement "if n is an odd number," we assume the negation of the statement, which is "n is not an odd number" or "n is an even number."

In an indirect proof, we aim to derive a contradiction from this assumption. Therefore, we will show that assuming n is an even number leads to a contradiction.

Assume n is an even number. By definition, an even number can be written as 2k, where k is an integer.

Since n is an even number, we can write it as n = 2k for some integer k.

Now, we can consider the parity of n. If n is an even number, it can be divided by 2 without a remainder, which means n is divisible by 2.

However, this contradicts the initial assumption that n is an odd number. By definition, an odd number cannot be divided by 2 without a remainder.

Since assuming n is an even number leads to a contradiction, we can conclude that the negation of the statement "n is not an odd number" is false.

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Answer:

9

Step-by-step explanation:

brainliest?

Answer:

Mean:

10.5+9.2+0+9.3+10.4+9.2=48.6

48.6 divded by 6 =8.1

Median is 9.3

Mode is 9.2

Step-by-step explanation:

Answer: The decay factor is approximately 0.9984.

Step-by-step explanation:

In an exponential function of the form A = Ab^x, the decay factor b is the constant factor by which the function decays or grows over each unit of time or input change. It is always a value between 0 and 1 in the case of exponential decay.

To find the decay factor in the given exponential function A = 0.46*74.4^x, we need to rewrite the function in the form A = Ab^x. We can do this by dividing both sides of the equation by the initial value of A:

A/A = (0.46*74.4^x)/A

Simplifying this expression gives us:

1 = 0.46*(74.4^x)/A

Dividing both sides by 0.46 and rearranging, we get:

(74.4^x)/A = 1/0.46

Simplifying further gives us:

(74.4^x)/A = 2.1739

Now, we can solve for the decay factor b by taking the logarithm of both sides of the equation:

log(b) = log(74.4)/ln(10)

Simplifying this expression using a calculator gives us:

log(b) = -0.0016

Taking the antilogarithm of both sides, we get:

b = 10^(-0.0016)

Approximating this value to four decimal places gives us:

b ≈ 0.9984

Therefore, the decay factor for the given exponential function is approximately 0.9984.

Answer:

A

Step-by-step explanation:

I am positive that the answer is A) □♡ based on the pattern observed in the given sequence. The symbol □ represents the tens digit and ♡ represents the units digit, and since the previous number in the sequence had ♡ as both digits, the next number should have □ as both digits. Therefore, the next number in the sequence would be □♡, which is a two-digit number where the tens digit is one less than the units digit.

B) □□: This option cannot be the next number in the sequence because it represents a two-digit number where both digits are equal, but the previous number in the sequence had ♡ as both digits. Therefore, the next number should have □ as both digits.

C) ♡♡: This option cannot be the next number in the sequence because it represents a two-digit number where both digits are equal, but the previous number in the sequence had ♡ as both digits. Therefore, the next number should have □ as both digits.

D) ♢□: This option cannot be the next number in the sequence because it represents a two-digit number where the tens digit is greater than the units digit, but the previous numbers in the sequence had the units digit greater than the tens digit. Therefore, the next number should have the tens digit one less than the units digit.

E) ♡♢: This option cannot be the next number in the sequence because it represents a two-digit number where the tens digit is less than the units digit, but the previous numbers in the sequence had the units digit greater than the tens digit. Therefore, the next number should have the tens digit one less than the units digit.

Answer:

Step-by-step explanation:

Because the first digit changes in the first 2 numbers, we can assume that the first number is at the end of a count: like 19, 29, 39...  

So the numbers will be 19,20, 21     or 29, 30 31 etc.

But we know that the last number's second digit is the same as the first number's first first digit, therefore, the square is 1

So the numbers are 19, 20, 21

So the heart will be the first digit of the of the next number, it has to be the 3rd or 5th answer. but we know the next number is 22 so it's the double heart which is the 3rd answer.

Heart heart is answer.

Answer:

A

Step-by-step explanation:

2 and 1/2 is can be written as 5/2

5/2 cups of soda for every 2/5 cup of pineapple juice

Unit rate means per 1 of something, in this case pineapple juice

5/2 per 2/5  or (5/2) / (2/5)

5/2 ÷ 2/5 = 25/4 or 6 and 1/4

Answer:

Parallelogram = 2 pairs of parallel sides and opposite angles are equal

Triangle BEA and triangle DFC are equivalent by side angle side

Therefore, angle DCF is equivalent to angle BAE

Angles FEB and DFE are right angles due to them being supplementary angles with angles BEA and DFC, respectively.

This means triangles BEC and DFA are equivalent.

This means angles FCB and EAD are equivalent, which means angles BCD and DAB are equivalent.

This also means angles ABC and ADC are equivalent.

Opposite angles equivalent = parallelogram

The probability that he got at least 2 questions correct is 0.756.

Probability is simply how probably something is to appear. every time we're uncertain approximately the final results of an occasion, we can communicate approximately the possibilities of positive outcomes and how in all likelihood they may be. The analysis of occasions ruled through chance is called data.

Basic Probability Rules

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Central tο Malthus' theοrem is the nοtiοn that pοpulatiοn grοws geοmetrically and the fοοd supply οnly increases arithmetically.

Central to Malthus' theorem is the notion that population growth tends to outpace the availability of resources, leading to potential scarcity and societal challenges. Malthus argued that human population has the tendency to increase exponentially, while the production of food and resources grows at a slower rate. This imbalance can result in population pressure, poverty, and other negative consequences.

Malthus' theorem, often referred to as the Malthusian theory, suggests that unless checked by factors such as disease, famine, war, or voluntary restraint, population growth will eventually exceed the capacity of the environment to sustain it. This theory has been influential in the field of demography and has sparked debates about population control, resource management, and sustainable development.

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One way to write the steps could be like this:

\(2\text{x}+3\text{y} = 6\\\\2\text{x} = 6-3\text{y}\\\\\text{x} = \frac{6-3\text{y}}{2}\\\\\text{x} = \frac{6}{2}-\frac{3\text{y}}{2}\\\\\text{x} = 3-\frac{3}{2}\text{y}\\\\\)

Other methods may be possible.