find the n term of this number sequence 15,12,9,6

Answer:

32

Step-by-step explanation:

No worries! You can do this!

What we are going to do, is substitute 10 in for X.

8(x-6)

8(10-6)

8(4)

8 x 4

32

The answer is 32.

Have a great day,

PumpkinSpice1♥

Answer:

8(10-6) = 8(4) = 32

8(6-6) = 8(0) = 0

8(2-6) = 8(-4) =-32

The mean is 58.319 m/h and the standard deviation is 11.665 m/h of the vehicle speed if 5% of all vehicles travel less than 39.13 m/h and 10% travel more than 73.25 m/h.

The mean and standard deviation of the vehicle speed can be calculated by using the formula for z-score.

The z-score of measure X can be given as;

Z = X - μ / σ

In this case, 39.13 m/h is the 5th percentile; therefore when X = 39.13, Z has a p-value of 0.05, hence Z = -1.645

Z = X - μ / σ

-1.645 = (39.13 - μ) / σ

39.13 - μ = -1.645σ

μ = 39.13 + 1.645σ

Additionally, 73.25 m/h is the 90th percentile (100 - 10 = 90), therefore when X = 73.25, Z has a p-value of 0.9, hence Z = 1.28

1.28 = (73.25 - μ) / σ

73.25 - μ = 1.28σ

μ = 73.25 - 1.28σ

We can find the standard deviation by equalling both equations as follows;

39.13 + 1.645σ = 73.25 - 1.28σ

1.645σ + 1.28σ = 73.25 - 39.13

2.925σ = 34.12

σ = 34.12/2.925 = 11.665 m/h

Now the mean can be calculated as follows;

μ = 73.25 - 1.28σ

μ = 73.25 - 1.28(11.665)

μ = 58.319 m/h

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The given statement "The this pointer is not automatically passed to static member functions of a class." is false as static member functions can be called without creating an object of the class, and the "this" pointer is used to refer to the current instance of the class. Since no instance is required for static member functions, the "this" pointer is not applicable in this case.

In object-oriented programming, a class is a blueprint for creating objects, and member functions are functions defined within a class that can be called on objects of that class.

Static member functions, also known as class methods, are special member functions that are associated with the class itself rather than any specific object or instance of the class. They are declared using the "static" keyword.

Since static member functions do not operate on specific instances of the class, they do not have access to the "this" pointer. The "this" pointer is a hidden pointer that points to the current object instance, allowing non-static member functions to access the data members and other member functions of the object. However, static member functions do not have this pointer because they are not tied to any specific object.

Static member functions can only access static members of the class, which include static variables and other static member functions. They can be called using the class name itself, without creating an instance of the class. This is because they are not associated with any particular object but rather with the class as a whole.

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The incorrect statements are A and D.

Statement A is incorrect. The product of two matrices A and B, denoted AB, is defined as the standard matrix of a linear transformation resulting from the composition of two consecutive linear transformations whose standard matrices are A and B, respectively. In other words, the matrix B represents the transformation applied first, followed by the transformation represented by matrix A. The order of multiplication matters in matrix multiplication, and reversing the order of matrices A and B will result in a different composition of linear transformations.

Statement D is incorrect. Matrix multiplication is not commutative, meaning that in general, AB does not equal BA. The order of multiplication matters, and switching the order of matrices A and B will yield different results unless A and B happen to be special matrices with specific properties.

Statements B and C are correct. In matrix multiplication, each column i of the resulting matrix AB is obtained by multiplying the matrix A with the corresponding column i of matrix B. Similarly, each entry (i, j) of the matrix AB is calculated as a sum of the products of the corresponding entries in the ith row of A and the jth column of B. The product AB is defined when the number of rows in A is equal to the number of columns in B.

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No, the triangles ABC and PQR do not have to be isosceles. Counterexample: A(0,0), B(2,0), C(1,1), P(0,0), Q(2,0), R(1,-1).

No, the triangles ABC and PQR do not have to be isosceles. We can provide a counterexample to illustrate this.

Counterexample: Consider triangle ABC with vertices A(0,0), B(2,0), and C(1,1), and triangle PQR with vertices P(0,0), Q(2,0), and R(1,-1). We can see that there are two different 1-1 correspondences that demonstrate congruence between the triangles.

First correspondence: A → P, B → Q, C → R. This shows that the corresponding sides and angles of the triangles are congruent.

Second correspondence: A → P, B → R, C → Q. This also shows that the corresponding sides and angles of the triangles are congruent.

In both cases, the triangles are not isosceles since they have different side lengths and angle measures. Therefore, the existence of two different congruence-preserving correspondences does not imply that the triangles must be isosceles.

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Answer:

the correct answer is 90•

Step-by-step explanation:

90-x =180

ATQ,

x =180-90

= 90•

Number of ways to form four letters strings formed using a, b, c, d, e with the given conditions is equal to 150ways.

As given in the question,

Given letters are a, b, c, d, e has

Number of vowel = 2

Number of consonant= 3

Number of letter strings to be formed = 4

Condition:

First letter must be vowel

Last letter must be consonant

First place filled in 2 ways

Second and Third place filled in 5ways

Last place filled in 3 ways

Total number of ways to form four letters strings

= 2 × 5 × 5 × 3

= 150

Therefore, number of ways to form four letter string is 150 ways.

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35-9/45 = 26/45

The answer is 26/45.

Answer:

26/45

Step-by-step explanation:

35/45-9/45=26/45

Answer:

D. Closure

Step-by-step explanation:

D. Closure

The ratio of LM to FG is 3:4, so correct option is A.

A triangle is a polygon with three sides, three vertices, and three angles. It is one of the basic shapes in geometry and has many properties that make it a useful and interesting shape to study.

The sum of the interior angles of a triangle is always 180 degrees, which is a fundamental property of triangles.

Triangles also have many interesting properties related to their sides, angles, and areas. For example, the Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. The area of a triangle can be calculated using the formula 1/2(base x height) or by using various trigonometric functions.

Triangles are important in many areas of mathematics and science, such as in geometry, trigonometry, calculus, and physics. They are also commonly used in architecture, engineering, and design.

If LMN and FGH are similar triangles, then the ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

Let x be the ratio of LM to FG. Then the ratio of their areas is (x²).

So we have:

LMN / FGH = 18 / 32

(x²) = 18 / 32

x² = 9 / 16

x = (3 / 4)

Therefore, the ratio of LM to FG is 3:4, which is option A.

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Answer:

1.6 x 10^4

Step-by-step explanation:

(8/5) x 10^9-5

1.6 x 10^4

Let \(\(a\)\) and \(\(b\)\) be integers such that \(\(ab = 4\)\). We want to prove that \(\((a - b)^3 - 9(a - b) = 0\).\)

Starting with the left side of the equation, we have:

\(\((a - b)^3 - 9(a - b)\)\)

Using the identity \(\((x - y)^3 = x^3 - 3x^2y + 3xy^2 - y^3\)\), we can expand the cube of the binomial \((a - b)\):

\(\(a^3 - 3a^2b + 3ab^2 - b^3 - 9(a - b)\)\)

Rearranging the terms, we have:

\(\(a^3 - b^3 - 3a^2b + 3ab^2 - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\(a^3 - b^3 - 3a^2(4) + 3a(4^2) - 9a + 9b\)\)

Simplifying further, we get:

\(\(a^3 - b^3 - 12a^2 + 48a - 9a + 9b\)\)

Now, notice that \(\(a^3 - b^3\)\) can be factored as \(\((a - b)(a^2 + ab + b^2)\):\)

\(\((a - b)(a^2 + ab + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Simplifying further, we get:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\)

Now, we can observe that \(\(a^2 + 4 + b^2\)\) is always greater than or equal to \(\(0\)\) since it involves the sum of squares, which is non-negative.

Therefore, \(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\) will be equal to \(\(0\)\) if and only if \(\(a - b = 0\)\) since the expression \(\((a - b)(a^2 + 4 + b^2)\)\) will be equal to \(\(0\)\) only when \(\(a - b = 0\).\)

Hence, we have proved that if \(\(ab = 4\)\), then \(\((a - b)^3 - 9(a - b) = 0\).\)

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Answer:

the answer is 4.54%

Answer:

A confidence interval is made from a sample to estimate the truth for a population.

A confidence interval is a statistical interval that is found from analyzing sample data to justify a larger statement about a great group of people or things. Common confidence intervals are 95% and 99%.

The 3.51% compounded quarterly investment is the better investment in terms of higher returns.

We need to compare the effective rates of return for both options in order to determine which investment is superior.

A) For the 3.38% accumulated semiannually, we can work out the successful rate utilizing the equation:

The effective rate is as follows: Effective Rate = (1 + (Annual Interest Rate / Number of Compounding Periods))  Number of Compounding Periods - 1 Annual Interest Rate = 3.38 percent Number of Compounding Periods = 2 (since it is compounded semiannually) Effective Rate = (1 + (0.0338 / 2)) 2 - 1

The 3.38% compounded semiannual investment has an effective rate of approximately 3.59%, which is calculated as follows: Effective Rate = (1 + 0.0169)2 - 1 Effective Rate  0.0359385 or 3.59% (rounded to two decimal places).

B) We can use the same formula to determine the effective rate for the quarterly compound interest rate of 3.51 percent:

Since it is compounded quarterly, there are four compounding periods, and the annual interest rate is 3.51 percent. The effective rate is equal to (1 + (0.0351 / 4))4 - 1.

The compounded quarterly investment at 3.51% has an effective rate of approximately 3.53%, which is calculated as follows: Effective Rate = (1 + 0.008775)4 - 1 Effective Rate  0.0353157 or 3.53% (rounded to two decimal places).

When we look at the effective rates, we can see that the compounded quarterly investment with a rate of 3.51 percent has a slightly higher effective rate (3.53%) than the compounded semiannual investment with a rate of 3.38 percent (3.59%). Consequently, the higher-return investment at 3.51 percent compounded quarterly is superior.

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Answer:

52000

Step-by-step explanation:

I almost put an extra zero -_-

Answer:

52,000

Step-by-step explanation:

52,437 rounded to the nearest thousand is 52,000. Since there is 4 in the hundreds place, 2 remains 2

have a good day :) can i also plz have brainlest

Answer:

Step-by-step explanation:

You are looking for 1/2 of an unknown number minus 19.  It will equal -13.

                                                                                                  1/2x - 19 = -13

Get x isolated, so add 19 on left to cancel, then add on right)     +19    +19                                                                                                

                                                      And you now are down to   1/2 x      =   6  

Now, let's simplify the fraction (1/2).  Since it is 1 divided by 2, you reverse division with multiplication. Multiply 1/2 by the denominator (2) and you get 1. So, you're down to 1x, or just x.   Then multiply the number on the other side of the equal sign (the 6) by 2 and you get 12.

So x = 12.

Now, let's go back to our original equation and plug in the x and see if it works.

1/2x - 19 = -13

becomes 1/2 (12) - 19 = -13

becomes 6 - 19 = -13

Voila! Our missing number (x) is 12.

The approximate increase in mean temperature of the person is approximately 0.0114°C.

To calculate the total energy deposited and the approximate increase in mean temperature, we need to consider the absorbed dose and specific heat capacity of the human body.

a) Total Energy Deposited:

The absorbed dose of 4 Gy represents the amount of radiation energy absorbed per unit mass (in this case, the person's mass is 75 kg). To calculate the total energy deposited, we can use the formula:

Energy Deposited = Absorbed Dose * Mass

Energy Deposited = 4 Gy * 75 kg

Energy Deposited = 300 Joules

Therefore, the total energy deposited in the person's body is 300 Joules.

b) Approximate Increase in Mean Temperature:

To calculate the approximate increase in mean temperature, we need to consider the specific heat capacity of the human body. The specific heat capacity of the human body is approximately 3500 J/kg°C.

Using the formula:

Temperature Increase = Energy Deposited / (Mass * Specific Heat

Capacity)

Temperature Increase = 300 Joules / (75 kg * 3500 J/kg°C)

Temperature Increase ≈ 0.0114°C

Therefore, the approximate increase in mean temperature of the person is approximately 0.0114°C.

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the value of F(9) is approximately 23.308.

To find the value of F(9) given that F(x) is an antiderivative of (ln x)^3/x and F(1) = 0, we can use the fundamental theorem of calculus.

According to the fundamental theorem of calculus, if F(x) is an antiderivative of a function f(x), then:

∫[a,b] f(x) dx = F(b) - F(a)

Since F(1) = 0, we can write:

∫[1,9] (ln x)^3/x dx = F(9) - F(1)

To evaluate the integral, we can make a substitution:

Let u = ln x, then du = (1/x) dx

The integral becomes:

∫[ln 1, ln 9] u^3 du

Integrating u^3 with respect to u:

[(1/4)u^4] | [ln 1, ln 9] = (1/4)(ln 9)^4 - (1/4)(ln 1)^4

Since ln 1 = 0, we have:

(1/4)(ln 9)^4 - (1/4)(ln 1)^4 = (1/4)(ln 9)^4

Therefore, F(9) - F(1) = (1/4)(ln 9)^4

Since F(1) = 0, we can conclude that F(9) = (1/4)(ln 9)^4.

Calculating this value:

F(9) = (1/4)(ln 9)^4 ≈ 23.308

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Answer:

Equation: y = 0.4x + 3.

Step-by-step explanation:

picture

To find the height h of the Washington Monument in Washington, D.C., we can use the following equation:
h + 630 = height of the Gateway Arch .

We know that the height of the Gateway Arch is 630 feet taller than the height of the Washington Monument. So, if we subtract 630 feet from the height of the Gateway Arch, we will get the height of the Washington Monument.

Therefore, the equation becomes:

h + 630 - 630 = height of the Gateway Arch - 630

h = height of the Gateway Arch - 630

Since we do not have the exact height of the Gateway Arch, we cannot solve for the exact height of the Washington Monument. However, we know that it is 630 feet shorter than the Gateway Arch.

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The highest row subscript for the integer numbers array is 4. The array `integer numbers` is a two-dimensional array with the following elements:{{1, 2}, {3, 4}, {4, 5}, {6, 7}, {8, 9}}.

Given array is `dim integer numbers(,) as integer = {{1,2},{3,4},{4,5},{6,7},{8,9}}

The highest row subscript for the integer numbers array is 4.

The first dimension has five elements, and the second dimension has two elements. The row subscripts for the integer numbers array range from 0 to 4.

The row subscript starts with 0 and ends with one less than the number of elements in the row, so the highest row subscript for the integer numbers array is 4.

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Answer:

2,323. 13 dollars

Step-by-step explanation:

sorry but i need points Thank you

Answer:the slope of a line it the angle/slope that that line is at

Step-by-step explanation: slope times width

Answer:

57

Step-by-step explanation:

the two supplementary angles are 57, and 123

The steps include:

Thus, we can see that congruent segments are two segments equal in length.

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Answer:

false cause it's not the constant