If the rule is to start at 3/8 and add 3/16, what would be the 4th term in the sequence?

Answer:

Step-by-step explanation:

A quadratic equation has the general form ax2 + bx + c = 0, where a, b, and c are coefficients and x is the variable.

To convert the above equation "x+9+18=0" to quadratic equation form, we must transfer all of the terms to one side of the equation and set it equal to 0.

The following equation may be rewritten: x+9+18 = 0.

Combining like terms yields: x+27 = 0.

x = -27 after subtracting 27 from both sides.

As a result, the answer to the equation is x = -27. It's not a quadratic formula.

The integration of log log x is log(x)log(x) - x + C, where C is an arbitrary constant.

1. Start by taking the integral of log log x:

∫ log log x dx

2. Use integration by parts to solve the integral:

u = log log x

du = 1/x log x dx

dv = dx

v = x

∫ log log x dx = x log log x - ∫ x/x log x dx

3. Again use integration by parts to solve the remaining integral:

u = x

du = dx

dv = 1/x log x dx

v = log x

∫ x/x log x dx = x log x - ∫ log x dx

4. Use the power rule to solve the remaining integral:

∫ log x dx = x log x - x + C

5. Substitute the result from step 4 into the equation in step 2:

∫ log log x dx = x log log x - x log x + x - C

6. Rearrange the equation to get the final result:

∫ log log x dx = log(x)log(x) - x + C

The integration of log log x is log(x)log(x) - x + C, where C is an arbitrary constant.

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The total number of zeros in the 5th degree polynomial is given as follows:

5.

The number of real zeros in the 5th degree polynomial is given as follows:

3.

The number of imaginary zeros in the 5th degree polynomial is given as follows:

2.

For a function of the nth degree, the number of zeros is of n, hence a function of the 5th degree has five zeros.

The number of real zeros is the number of times that the graph of the function crosses the x-axis, hence it's number is given as follows:

3.

Then the number of imaginary zeros can be obtained as follows:

5 - 3 = 2.

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A linear graph is a graph in which the data points are distributed along a straight line, and the relationship between the variables is represented by a linear equation.

A nonlinear graph is a graph in which the data points are not distributed along a straight line, and the relationship between the variables is represented by a nonlinear equation.

A linear equation is an equation that can be written in the form of y = mx + b, where m is the slope of the line and b is the y-intercept. The slope of the line represents the rate of change of the dependent variable y with respect to the independent variable x. A graph that follows a linear equation will be a straight line.

On the other hand, a nonlinear equation is an equation that cannot be written in the form of y = mx + b. The relationship between the variables in a nonlinear equation is more complex and can be represented by a curve on a graph. The shape of the curve can vary and can be determined by the specific equation being used.

In summary, a linear graph is a graph that shows a straight line relationship between the variables, while a nonlinear graph is a graph that shows a more complex, curved relationship between the variables.

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Considering the definition of parallel and perpendicular line, the parallel line has a slope of -54 and the perpendicular line has a slope of 1/54.

A linear equation o line can be expressed in the form y = mx + b

where

Parallel lines are two lines that prolonged towards infinity never touch.

Two lines are parallel if they have the same slope.

Perpendicular lines are lines that intersect at 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

In this case, the line is y= -54x -4.

where:

Since two lines are parallel if they have the same slope, the parallel line has a slope of -54.

If you multiply the slopes of two perpendicular lines, you get –1. So:

-54 × slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-54)

slope perpendicular line= 1/54

The perpendicular line has a slope of 1/54.

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Player A is more consistent with less variance.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean.

Variance is the square of the standard deviation.

The mean number of runs for player A is,

(2 + 1 + 3 + 8 + 2 + 3 + 4 + 4 + 1)/9.

= 28/9.

= 3.11.

The variance is,

1/9[1.11² + 2.11² + 0.11² + 5.11² + 1.11² + 0.11² + 1.11² + 1.11² + 2.11²].

= 1/9[1.232 + 4.452 + 0.0121 + 26.112 + 1.232 + 1.232 + 4.452].

= 1/9[38.724].

= 4.30.

Similarly, the mean number of runs for player B is,

= 4.11.

The variance is,

= 1/9[3.11² + 0.11² + 1.11² + 2.11² + 0.11² + 1.11² + 1.11² + 6.11²].

= 6.13.

So, Player A is more consistent with less variance.

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Answer: 27x^{2} y^{12}

Step-by-step explanation:

RemoveRemoveRemove parentheses and brackets by multiplying factors. ...

Use the exponent rule to remove grouping if the terms contain exponents. ...

Combine like terms by adding or subtracting coefficients. ...Combine

Combine the constants.

Simplifying an expression is just another way to say solving a math problem. When you simplify an expression, you're basically trying to write it in the simplest way possible. At the end, there shouldn't be any more adding, subtracting, multiplying, or dividing left to do.

The length of the rectangle will be 7 inches, so that its perimeter will be 18 inches.

We have a rectangle with a width of 2 inches and perimeter of 18 inches. Perimeter is the total length of all the boundaries of a closed geometrical shape. So for a rectangle it will be the sum of all four sides. There are two equal and opposite sides.  

So, perimeter of a rectangle = l + l+ b+b = 2(l+b)

  Perimeter  = 18 inches and width = 2 inches. Substituting the values in the equation,

   P = 2 (l+b)

  18 = 2 (l+ 2)

 18/2 = l+ 2

 l = 9 - 2 = 7 inches.

So for a rectangle with a perimeter of 18 inches and width of 2 inches, the length will be 7 inches.

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The scale factor that is used to dilate JA is 3.

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

Length of the segment JA = 7 in

Length of the segment JA' = 21 in

Now,

The scale factor.

= New segment / Old segment

= 21/7

= 3

Thus,

The scale factor is 3 in.

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The point which is at  equal distance from y-axis to the given points           A(- 5,-2 )and B(3, 2 ) is given by ( 0,-2).

As given in the question,

Let us consider a point C(0 ,y) be the point on the y -axis.

Point C (0, y) is at the equal distance from point A(- 5,-2 )and B(3, 2 ).

AC = BC

⇒ √( y + 2 )² + ( 0 + 5)² = √( y - 2)² + ( 0 -3)²

Squaring both the sides we get,

⇒ y² + 4y + 4 + 25 = y² - 4y + 4 + 9

⇒ 8y = 9 - 25

⇒ y = -16 /8

⇒ y = -2

Therefore, the required point of y-axis which is at equal distance from the given points A and B is equal to ( 0, -2 ).

The above question is incomplete , the complete question is:

What point on the Y-axis is at equal distances from A(- 5,-2 )and B(3, 2 )?

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Inferential data uses strategies that take an end result from a pattern, increase it to a populace, and degree the reliability of the result. Variables are the traits of the individuals within the populace.

Inferential records use measurements from the pattern of topics within the experiment to examine the remedy agencies and make generalizations about the larger populace of subjects. there are numerous varieties of inferential facts and every one is suitable for a particular research design and sample characteristics.

Inferential statistics is a department of statistics that makes the usage of diverse analytical equipment to attract inferences approximately the population information from pattern facts. aside from inferential information, descriptive records form another branch of information.

Statistical inference is the procedure of the usage of facts evaluation to deduce houses of an underlying distribution of opportunity. Inferential statistical evaluation infers homes of a populace, for instance through testing hypotheses and deriving estimates.

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Complete Question:

_______ statistics uses methods that take a result from a sample, extend it to a population, and measure the reliability of the result.

Part A: The volume of the small fish tank is 576 cubic inches.

Part B: The length of the large fish tank is 24 inches.

Part A:

The volume of the small fish tank can be found by multiplying its length, width, and height.

Length x Width x Height
= 12 inches x 8 inches x 6 inches
= 576 cubic inches

Part B:

We know that the large fish tank's volume is two times that of the small fish tank. So:

The volume of the large fish tank

= 576 cubic inches x 2 = 1152 cubic inches

We also know that the width and height of the large fish tank are the same as the small fish tank (8 inches and 6 inches respectively). So we can use the formula for volume (length x width x height) to find the length(L) of the large fish tank:

1152 cubic inches = L x 8 inches x 6 inches

                             = L x 48 inches²

To solve for L, we divide both sides by 48 :

L = 24 inches

So the large fish tank is 24 inches long.

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The complete question is -

A store sells two fish tanks. The small fish tank is 12 inches long, 8 inches wide, and 6 inches high The large fish tank is 8 inches wide and 6 inches high. The volume of the large fish tank is two times the volume of the small fish tank.

Part A: What is the volume of the small fish tank (in cubic inches)?

Part B: How long is the large fish tank (in inches)?

The value of HI in the figure is solved using similar triangle to get 34

The figure the triangle HJI and triangle JKL are similar triangles. This means that the angles are congruent and corresponding sides are proportional

The corresponding proportional sides that will be used for the calculation are

JK and JH, KL and HI

equating the proportional sides

since k is the id point of JK then JK / JH = 1/2

JK / JH = KL / HI

substituting the values

1 / 2 = (-25 + 7x) / (8x - 14)

cross multiplying

8x - 14 = 2(-25 + 7x)

8x - 14 = -50 + 14x

collecting like terms

8x - 14x = -50 + 14

-6x = -36

x = 6

since HI = 8x - 14

substituting the value of x

= 8 * 6 - 14

= 48 - 14

= 34

Hence HI = 34

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Answer:Descartes’s chief contributions to mathematics were his analytical geometry and his theory of vortices, and it is on his researches in connection with the former of these subjects that his mathematical reputation rests. Who is Rene Descartes is he known for? Descartes has been heralded as the first modern philosopher.

Step-by-step explanation:

Answer:

A. (g-3) ⋅ 6

Step-by-step explanation:

Explanation:

(g-3) ⋅ 6 = 6g - 18

E. −2×(−3g+9h)

Explanation:

-2×(−3g+9h) = -2(-3g+9h) = 2(3g - 9h) = 6g - 18h

The length of PQ + the length of QR Equals the length of PR according to the segment addition rule because Q is the line segment so PR = 14

A line is an endlessly long object without breadth, depth, or curvature in geometry. Consequently, a line is a one-dimensional entity, while it may also exist in two-, three-, and more-dimensional regions. In common use, a line segment with two points serving as its ends is referred to as a line. A line is a single-dimensional, straight form with no thickness that can go on forever in both directions. To indicate that a line has no "wobble" anywhere along its length, it is frequently referred to as a straight line or an ancient accurate line (Casey 1893)

 Point Q is on line segment PR

PQ = 2 and QR = 14

The length of PQ + the length of QR Equals the length of PR according to the segment addition rule because Q is the line segment PR, so:

PQ + QR = PR ; 3 + 11 = P so PR = 14

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Answer: 30.75

Step-by-step explanation: times is the key word

You multiply 12.3 and 2.5.

Answer: 5 times x  = 25

Step-by-step explanation:

According to the given information in the question the value of x is 85. Hence answer will be x = 85.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

Here, we have

Given: Angle FGH is a straight angle.

The measure of angle FGJ is 95°.

The measure of angle JGH is x°

Angles that form a straight line add up to equal 180°

Thus, x + 95 = 180

180 - 95 = 85

x = 85

Hence, the value of x is 85.

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Answer: The actual height of the house is 17 feet.

Step-by-step explanation:

The actual height of the house can be found by multiplying the model's height (4.25 inches) by the scale factor.

4.25 inches * 4 (3 feet/1/4 inch) = 17 feet.

So the actual height of the house is 17 feet.

Therefore , the solution is first angle = 63° and second angle = 27° for

complementary angle problem.

A pair of angles is considered to be complementary if their sum equals 90 degrees. Two angles are referred to as submissive if their sums total 180 degrees. Follow-up pain Utilizing fresh gruesome milk, as usual Prior to, before, ahead of The slopes of thirty and sixty degrees, for example, are supplementary. In contrast to a supplemental angle, which is two angles joined to create a 90 degree angle, a supplemental angle involves two angles joined to create a 180 degree angle.

Here,

Given :

Let us consider first angle be x

and second angle is less than 36°

=>  x - 36°

So , there are complementary angle there sum will be equal to 90°

=> x + x - 36°  = 90°

=>  2x =  90° + 36°

=> x = 126°/2

=> x =63°

First angle = 63°

and second angle = 63° - 36° = 27°

Therefore , the solution is first angle = 63° and second angle = 27° for

complementary angle  problem.

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Answer:

346755754564433677 t rr

Answer:

A = |A| = 5 units. We know, negative Y-axis is an angle 270° counterclockwise with positive X-axis. θ = Angle of vector A with positive X-axis = (270°

Step-by-step explanation:

Hi there!  For this one, just set up an equation of what you know and don't know.

20 x __% = 15, I think you're asking.

20 x (n) = 15

Divide both sides by 20 to isolate n.  Go on from there!  If you need more help, just let me know.

Answer: The three integers are x = -7, x+1 = -6 and x+2 = -5.

Step-by-step explanation:

We can set up the equation: x(x+1)(x+2) = -210, where x, x+1, and x+2 are the consecutive integers.

To solve for x, we can start factoring -210.

-210 = -1210 = -12105 = -1370 = -12514 = -12572

Since we are looking for three consecutive integers, we know that one of the factors must be -1 and the other two factors must be a pair of integers.

-1 * 2 * 5 * 7 = -70

-1 * 2 * 5 * 14 = -140

-1 * 3 * 7 = -21

So, the three integers are x = -7, x+1 = -6 and x+2 = -5.

A hypothesis test involves comparing research results from a population with a hypothesis about the same population. It is used to determine if the results of the research support the hypothesis.

A hypothesis test is a statistical test used to evaluate a hypothesis about a population. It involves comparing research results from a population with a hypothesis about the population. The hypothesis test is used to determine if the results of the research support the hypothesis. If the research results do not support the hypothesis, then the hypothesis is rejected. The hypothesis test is a useful tool for making statistical inferences about a population based on a sample of that population. It is an important part of the scientific method and is used in fields such as psychology, economics, and biology. The test is based on the principles of probability and involves the use of statistical tests such as the t-test, chi-square test, and ANOVA. The results of a hypothesis test can help researchers make informed decisions about the data and can be used to develop theories, test hypotheses, and draw conclusions.

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According to the problem the AE is the median of triangle ABD.

Median is a statistical measure of central tendency that is used to measure the middle value in a given set of data. It is the middle value of a dataset when the data is arranged in an ascending or descending order.

Given: Kite ABCD has two pairs of consecutive congruent sides.
Proof: Since ABCD is a kite, it is a quadrilateral with two pairs of consecutive congruent sides, AB and CD. This implies that triangle ABD is isosceles since the two sides AB and BD are congruent.
In an isosceles triangle, the median is the line segment connecting the midpoint of the non-congruent side to the vertex that has the two congruent sides. Since AE connects the midpoint of side BD to vertex A, it is the median of triangle ABD.
Therefore, AE is the median of triangle ABD.

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Apples cost one pence each, but bananas are one penny each.

3 apples and 5 bananas cost the same overall amount (3a + 5b).

Martin has an x-year-old age.

Martin is three years Martin's junior in age.

Conor and Martin are each twice as old.

The age of Jennifer is x-3; b) the age of Connor is x; and c) the total of the three ages is x+2x+x-3 = 4x - 3

If Martin is 6 years old, Jennifer is 3 years old, and Conor is 12 years old, then 6+3+12 = 21, which is equivalent to 4 x 6 - 3 years, you may test that this is correct by trying it out.

All four sides add up to the perimeter. However, you can make it neater. Since every opposing side is the same as every other side, y + 3 + y + y + 3+ y = perimeter.

In addition, 2(2y+3) or 4y+6 = perimeter.

Nicole has a lot of marbles

Sean has 25 marbles.

Vicky has 10 marbles, thus y = 10 + 35 + 55 = total marbles, and y = 55 - 35 y = 20.

20 marbles belong to Nicola.

The Complete Question.

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The value of variable x in the coordinate plane is 3.

A coordinate plane is a two-dimensional plane that is created when two number lines cross. The x-axis, one of these number lines, is a horizontal number line, and the y-axis, another number line, is vertical. The coordinate plane is formed by the perpendicular intersection of these two number lines.

The reason the plane is referred to as two-dimensional is because any point on it to which you can put your finger will require two measurements to determine its location: its distance from the x-axis and its distance from the y-axis.

For negative integers, the left and bottom portions of the plane have negative x- and y-axes. The origin is the place where the number lines come together.

Given that ΑF =  FE

So if triangle DFE Transforms with F as centre and rotate E to become A

Then we will have an rectangle ACDF and E became A

In rectangle ACDF,

AC = FD

AC = 5x + 9

FD = 2(2x +6)

5x + 9 = 4x + 12

5x - 4x = 12 - 9

x = 3

Thus, the value of variable x in the coordinate plane is 3.

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