What is the value of 9 + 21 (13 + 5)?

Answer: B

Step-by-step explanation:

Midpoint (int a, int b, int c) {return (a + b) / 2 == c || (a + c) / 2 == b || (b + c) / 2 == a;} In a nutshell, this method checks whether any one of the given three integers is the midpoint of the other two integers.

The following is the method signature for has Midpoint public static boolean has Midpoint (int a, int b, int c). It takes three integers as arguments and returns true if one of the three integers is the midpoint of the other two integers. Method explanation: The method has Midpoint checks whether any one of the given three integers is the midpoint of the other two. If any one integer is the midpoint of the other two integers, the method returns true. Otherwise, it returns false.

The midpoint formula is (a + b) / 2, which calculates the midpoint of two integers a and b. Therefore, we can utilize the formula to test whether the middle integer is the midpoint of the other two integers: (a + b) / 2 == c || (a + c) / 2 == b || (b + c) / 2 == a. If any one of the conditions is true, the function returns true because one of the integers is the midpoint of the other two integers. Below is the complete implementation of the method. public static boolean has Midpoint(int a, int b, int c) {return (a + b) / 2 == c || (a + c) / 2 == b || (b + c) / 2 == a;} In a nutshell, this method checks whether any one of the given three integers is the midpoint of the other two integers.

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Answer:

I'm not sure I feel like it's A

Step-by-step explanation:

-8 is 11 units away from 3 but I do not know where the 7 came from for answer A.

If I were you I would not trust my answer

The distance between the points M(-8,11) and N(3,7) is 11.7 units option (a) 11.7 is correct.

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

\(\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

It is given that:

The two points are:

M(-8,11) and N(3,7)

From the distance formula, we can find the distance between these two points:

Applying the distance formula:

\(\rm d=\sqrt{(3-(-8))^2+(7-11)^2}\)

d = √137

d = 11.7 units

Thus, the distance between the points M(-8,11) and N(3,7) is 11.7 units option (a) 11.7 is correct.

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\( \Large{\boxed{\sf x = 42 - 14y}} \)

\( \\ \)

"Expressing x in terms of y" could also be written as "making x the subject of the equation".

This means that we will have to isolate x.

\( \\ \)

Given equation:

\( \sf \dfrac{x}{7} + 2y = 6 \)

\( \\ \)

Subtract 2y from both sides of the equation:

\( \sf \dfrac{x}{7} + 2y \bold{-2y} = 6 \bold{-2y} \\ \\ \Longleftrightarrow \sf \dfrac{x}{7} = 6 - 2y \)

\( \\ \)

Multiply both sides by 7:

\( \sf \dfrac{x}{7} \times 7 = (6 - 2y) \times 7 \)

\( \\ \)

Expand the right side of the equation:

\( \sf x = 6 \times 7 + (-2y) \times 7 \\ \\ \boxed{\boxed{\sf x = 42 - 14y}} \)

Given,

x/7+2y = 6

Step 1: Add -2y to both sides.

(1/7)x + 2y + (−2y) = 6 + (−2y)

(1/7)x = (−2y) + 6

Step 2: Divide both sides by 1/7.

(1/7)x / (1/7) = (−2y) + 6 / (1/7)

x = (−14y) + 42

So, x = (−14y) + 42

Hope my answer helps you✌️

Mark BRAINLIEST

edge= 5 in

the surface area of the given cube.

\(s.a = 6 {a}^{2} \)

\(s.a = 6 \times {5}^{2} \)

\(s.a = 150 \: {in}^{2} \)

hence, the surface area of the given cube is 150 square inches.

Answer:

hope it helps

Step-by-step explanation:

I hope u can understand

The Boolean duality principle is a fundamental concept in Boolean algebra which states that any statement or expression in the algebra can be transformed into an equivalent form by interchanging the roles of AND and OR operators, as well as 0's and 1's.

The Boolean duality principle, also known as De Morgan's laws, is a fundamental concept in Boolean algebra that states that every Boolean expression remains valid if you perform the following steps:
1. Swap AND (⋅) operators with OR (+) operators and vice versa.
2. Replace all 1's with 0's and all 0's with 1's.
3. Complement (invert) all variables.
In other words, the Boolean duality principle allows us to derive a dual expression from an original Boolean expression by applying these transformations. This principle is useful in simplifying Boolean expressions and designing digital circuits.

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The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Triangle area = 8 x 3/2

= 12

12 x 2 = 24cm^2 for 2 triangles

Height of rectangle must be found, so use pythag on triangle

a^2+ b^2 = c^2

16 + 9 =c^2

C=5

A= 5 x 12

= 60

60 x 3 triangles in total is 180cm^2

180cm^2 + 24cm^2 = 204cm^2

Ans: 204cm^2

Answer:

A

Step-by-step explanation:

A because the mean absolute deviation of an eighth grade class  is less than that of a seventh grade class. Also, the class size is larger on average for eighth graders (35>31).

The value of the car after 8 years is $9,039.81

What is the Percentage?

Percentage, which is a relative figure used to denote hundredths of any amount. Since one per cent is equal to one-tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.

As an illustration, 1% of 1,000 chickens is equivalent to 1/100 of 1,000, or 10 birds, and 20% of the quantity is equal to 20% of 1,000, or 200. These relationships may be generalized as x = PT/100 where x is the amount equal to a certain percentage P of T and T is the total reference quantity selected to represent 100%. As a result, T is 1,000, P is 1, and x is determined to be 10 in the case of 1 percent of 1,000 chickens.

As we can see each year 10% of the actual value of a car the decrease

For example, $21,000 decreased to $18,900

21000-18000/21000 = 0.1x 100% = 10%

Next year

$18,900 decreased to $17,010

18900-17010/18900 = 0.1x100% = 10%

in 6th year the price will be

12400.29 - 1240.029 = $11,160.261

in 7th year the price will be

11,160.261-11,16.0261=$10,044.2349

in 8th year the price will be

10,044.2349-10,04.42349=$9,039.81

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The tangential component of acceleration is \(18t^3 / \sqrt{(9t^4 + 2)}\)

We need to take the derivative of velocity with respect to time:

\(r(t) = ti + t^3j + tk\)

\(v(t) = r'(t) = i + 3t^2j + k\)

\(a(t) = v'(t) = 6tj\)

The tangential component of acceleration is the component of acceleration that is in the direction of the velocity vector. In other words, it is the projection of the acceleration vector onto the velocity vector.

To find the tangential component of acceleration, we need to project the acceleration vector onto the velocity vector.

The dot product of the acceleration vector and the unit vector in the direction of the velocity vector gives the tangential component of acceleration.

The velocity vector is \(i + 3t^{2j} + k\) which has a magnitude of \(\sqrt{(1 + 9t^4 + 1)} = \sqrt{(9t^4 + 2)}.\)

The unit vector in the direction of the velocity vector is \((1/\sqrt{(9t^4 + 2)} ) * (i + 3t^{2j} + k)\).

The dot product of the acceleration vector and the unit vector in the direction of the velocity vector is:

\(a(t) . (1/\sqrt{(9t^4 + 2)} ) * (i + 3t^{2j} + k) = 6t * (3t^2 /\sqrt(9t^4 + 2)} ) = 18t^3 / \sqrt{(9t^4 + 2)}\)

Therefore, the tangential component of acceleration is \(18t^3 / \sqrt{(9t^4 + 2)}\)

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Answer:

The first three are not statistical, the last three are.

Answer:

The 6 numbers are: 16, 18, 20, 22, 24, and 26 so the answer would be 22.

Answer:

The diameter is 2

Step-by-step explanation:

We can use a ratio to solve

6              x

-------  = --------------

18.84      6.28

Using cross products

6 * 6.28 = 18.84x

Divide each side by 18.84

37.68/18.84 = x

2 =x

Given:

The two exponential functions are shown in the given table.

To find:

The correct conclusion about the functions f(x) and g(x).

Solution:

The given functions are:

\(f(x)=2^x\)

\(g(x)=\left(\dfrac{1}{2}\right)^x\)

The function g(x) can be written as:

\(g(x)=\dfrac{1}{2^x}\)

\(g(x)=2^{-x}\)

\(g(x)=f(-x)\)

It means the graphs of f(x) and g(x) are reflections over the y-axis. So, option B is correct.

Since \(g(x)\neq -f(x)\), therefore the functions f(x) and g(x) are not the reflections over the x-axis. So, option A is incorrect.

The function f(x) is an increasing function because the base of the exponent is \(2>1\). The function g(x) is a decreasing function because the base of the exponent is \(\dfrac{1}{2}<1\). So, option C is incorrect.

At x=0 the value of f(x) is 1 and the value of g(x) is also 1. It means the functions has same initial values. So, option D is incorrect.

Therefore, the correct option is B.

We can conclude that g(x) is a reflection over the y-axis of f(x).

The two functions are:

You can see the graph of these functions at the end of the answer.

You can also notice that g(x) can be written as:

g(x) = (1/2)^x = 2^(-x) = f(-x)

Then this is a reflection over the y-axis, thing that you can also see in the graph below.

So the correct option is:

"The functions f(x) and g(x) are reflections over the y-axis."

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Answer:

1739.42393 cubic foot

Step-by-step explanation:

volume of cone= 1/3× πr²h

r= d/2= 9.35ft

putting the value in the formula and calculating

l

Answer:

f(6)=5×6+6=30+6=36

put the value 6 in x.

Answer:

27: 4 m

28: 60,000 cm

29: 8 m

30: 12 m

31: 90,000

32: 56 m

33: 650,000

34: 45 m

35: 230,000

36: 24

Have a great day!!

Please rate and mark brainliest!!

Answer:

Step-by-step explanation:

27. 4m²

28. 60 000cm²

29. 8m²

30. 12m²

31. 90 000cm²

32. 5.6m²

33. 650 000cm²

34. 45m²

35. 230 000cm²

36. 24m²

hope dis helps!!!!!

The probability that a randomly chosen part has either a major flaw or a minor flaw is 22% or 0.22.

To find the probability that a randomly chosen cast aluminum part has a flaw (major or minor), we can simply add the percentages of parts with minor flaws and major flaws together.

From the given information, 20% of the parts had minor flaws and 2% had major flaws. When we add these percentages together, we get:

20% (minor flaws) + 2% (major flaws) = 22%

Thus, there is a 22% probability that a randomly chosen part has a flaw, either major or minor. Rounded to two decimal places, this would be written as 0.22.

In summary, by considering the percentages of parts with minor and major flaws, we can determine the overall probability of selecting a flawed part. In this case, the probability is 22% or 0.22 when rounded to two decimal places.

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Answer:

A repeating decimal or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero. The infinitely repeated digit sequence is called the repetend or reptend.

The expression which is equivalent to -10 is the option b, -3 - 7.

Explanation:

We can use subtraction and addition of integers to get the value of the given expression. We can write the given expression as;

-3 - 7 = -10 (-3 - 7)

The addition of two negative integers will always give a negative integer. When we subtract a larger negative integer from a smaller negative integer, we will get a negative integer.

If we add -3 and -7 we will get -10. This makes the option b the correct answer.

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The intercept of the line is 10,985.00.

Given,  Y=5X+10,985.00

We can write the equation in the form of y = mx + c

Where y is the dependent variable, x is the independent variable, m is the slope and c is the intercept.

So, y = 5x + 10,985.00

So, the intercept of the line is 10,985.00.

The intercept of the line is 10,985.00.

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The formula (Value / Total) * 100 allows you to calculate the percentage using structured references. By plugging in the specific value and the total value into the formula, you can determine the percentage and express it as a relative proportion or ratio.

To calculate the percentage using structured references, you can use the following formula:

= (Value / Total) * 100

The formula above calculates the percentage by dividing the value you want to find the percentage of by the total value, and then multiplying the result by 100 to express it as a percentage.

"Value" represents the specific value you want to find the percentage of.

"Total" represents the total value or the whole amount that serves as the reference for the percentage calculation.

Let's consider an example:

Suppose you have a table with sales data, and you want to calculate the percentage of sales for a specific product compared to the total sales.

Product                                     Sales

Product A                                 500

Product B                                 750

Product C                                1000

Total                                          2250

To calculate the percentage of sales for Product B, you can use the formula:

= (750 / 2250) * 100

The result will be 33.33%, indicating that Product B's sales account for approximately 33.33% of the total sales

The formula (Value / Total) * 100 allows you to calculate the percentage using structured references. By plugging in the specific value and the total value into the formula, you can determine the percentage and express it as a relative proportion or ratio.

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Answer:

Step-by-step explanation:

The center is going to be written as (x + 2) and (y + 8).

Notice that  the point x and y values are turned around. That happens because you want to determine where the circle's center is when it is put in the circle formula

The radius must be squared. It represents a distance.

(x + 2)^2 + (y + 8)^2 = 4^2

The formula is the one above. The graph shows the center at (-2,-8)

Main Answer:The recurrence relation for the power series solution of the given differential equation is:   a_(n+2) = a_n / (n+2)

Supporting Question and Answer:

How can we find the recurrence relation for the power series solution of a differential equation?

To find the recurrence relation for the power series solution of a differential equation, we can assume the solution can be expressed as a power series and substitute it into the differential equation. By equating the coefficients of like powers of x to zero, we can derive the recurrence relation for the coefficients of the power series. This recurrence relation allows us to express the coefficients in terms of previous coefficients, providing a systematic way to compute the coefficients of the power series solution.

Body of the Solution: To find the recurrence relation for the power series solution of the differential equation y′′(1 - x)y = 0, we can assume that the solution can be expressed as a power series:

y(x) = ∑(n=0)^(∞) a_n x^n

First, to find the first and second derivatives of y(x):

y'(x) = ∑(n=1)^(∞) na_nx^(n-1)

=∑(n=0)^(∞) (n+1)×a_(n+1)×(x)^n

y''(x) =∑(n=2)^(∞) n(n-1)a_nx^(n-2)

= ∑(n=0)^(∞) (n+2)(n+1)×a_(n+2)×(x)^n

Now, substitute these expressions into the differential equation:

∑(n=0)^(∞) (n+2)(n+1)×a_(n+2)×(x)^n× (1 - x) × ∑(n=0)^(∞) a_n x^n = 0

Expand and collect terms:

∑(n=0)^(∞) [(n+2)(n+1)×a_(n+2) - (n+1)×a_n] ×( x)^n - ∑(n=0)^(∞) (n+2)(n+1)×a_(n+2)×(x)^(n+1) = 0

Now, equating the coefficients of like powers of x to zero:

For n = 0:

[(2)(1)×a_2 - (1)×a_0] = 0

a_2 = a_0

For n ≥ 1:

[(n+2)(n+1)×a_(n+2) - (n+1)×a_n] - (n+2)(n+1)×a_(n+2) = 0

a_(n+2) = (n+1)×a_n / ((n+2)(n+1)) = a_n / (n+2)

Final Answer: Hence, the recurrence relation for the power series solution of the given differential equation is:

a_(n+2) = a_n / (n+2);where a_0 is a constant representing the coefficient of x^0 in the power series solution.

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