216,36,6,... Find the 8th term. Find the 8th term.

The amount that each of Xavier Yolando, and Zachary has is   $1.48

We know that what we need to do is to convert the problem to an equation. The first step is always to be able to form the equation from the sentence that we have been given and we must have to look out for the key words in the problem.

We are told that each of them; Xavier Yolando, and Zachary have the same amount thus;

3x = 4.44

x = 4.44/3

x = $1.48

Thus they would all have a sum of $1.48

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Answer:

Step-by-step explanation:

One way for Paul to display his data is by using a scatter plot. A scatter plot is a graph that uses ordered pairs to represent data points. In this case, each data point would represent a friend's score and the number of minutes they spent studying science over the weekend.

To create a scatter plot, Paul would plot each data point as an ordered pair on a coordinate plane. The x-coordinate would represent the number of minutes spent studying, and the y-coordinate would represent the friend's score on the science test. Paul could then use a title and labels for the x and y axes to make the graph clear and informative.

A scatter plot is a good choice for this data because it allows Paul to easily see any relationship between the amount of time spent studying and the scores on the science test. He can also use the graph to identify any outliers or patterns in the data.

Lateral surface area = 2H(L + W)

Total surface area = 2 LW + 2 WH + 2 HL

We need to know the prism's dimensions in order to determine its lateral and total surface area for a rectangular base prism. The rectangular prism's length, width, and height are assumed to be L, W, and H, respectively.

The sum of the areas of the rectangular prism's four lateral faces determines its lateral surface area. Since every sidelong face is a square shape with a level of H and a width of one or the other L or W, the parallel surface region is given by:

Lateral Surface Area = 2H(L + W)

The sum of the areas on each of the six faces creates the rectangular prism's total surface area. This incorporates the four sidelong faces, as well as the top and base faces, which are additionally square shapes with aspects L x W. Consequently, the all out surface region is given by:

Total Surface Area = 2(LW + LH + WH)

So, if you know the dimensions of the rectangular prism, you can use these formulas to find its lateral and total surface area.

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Answer:

  h = 10 13/14 units

Step-by-step explanation:

You want the height from the side of length 14 of a parallelogram with side length 17 and height 9.

The area of a parallelogram is the same, no matter which side is used as the "base". This means ...

  A = bh = 17(9) = 14(h)

  h = 17·9/14 = 10 13/14 . . . . units

[tex]sin^2(x)[/tex]  can be expressed as [tex](1 - cos(2x)) / 2[/tex] using the power reducing formula.

To express [tex]sin^2(x)[/tex]using the power reducing formula,

we need to recall the following trigonometric identity:
[tex]sin^2(x) = (1 - cos(2x)) / 2[/tex]
Recognize that the question asks for the power reducing formula for sin^2(x).
Recall the trigonometric identity:[tex]sin^2(x) = (1 - cos(2x)) / 2[/tex]
The power reducing formula for [tex]sin^2(x)[/tex] is:[tex](1 - cos(2x)) / 2.[/tex]

The power reducing formula is a trigonometric identity that allows you to express a trigonometric function of a higher power in terms of a trigonometric function of a lower power.

It is most commonly used for reducing the power of the sine and cosine functions.

The power reducing formula for cosine is:

[tex]cos^2(x) = (1 + cos(2x))/2[/tex]

The power reducing formula for sine is:

[tex]sin^2(x) = (1 - cos(2x))/2[/tex]

These formulas can be derived using the Pythagorean identity, which states that [tex]sin^2(x) + cos^2(x) = 1.[/tex]

By solving for either[tex]sin^2(x) or cos^2(x)[/tex] in terms of the other, and then using the double angle formula for cosine[tex](cos(2x) = cos^2(x) - sin^2(x)),[/tex] we can arrive at the power reducing formulas.

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Answer:

The total amount Madison should be making in 2 months can be calculated as follows:

Number of cakes sold in 2 months: 5 cakes/week x 4 weeks/month x 2 months = 40 cakes

Number of baked goods sold in 2 months: 10 baked goods/week x 4 weeks/month x 2 months = 80 baked goods

Total revenue from cake sales: 40 cakes x $20/cake = $800

Total revenue from baked goods sales: 80 baked goods x $5/baked good = $400

Total revenue from both cake and baked goods sales: $800 + $400 = $1,200

Therefore, the correct answer is not listed among the options provided. The correct answer should be $1,200.


Did i get it right?

The possible rational zeros of the polynomial function are

±1, ±3, ±9, ±1/2, ±3/2, ±9/2

We have,

To find the possible rational zeros of the polynomial function P(x), we can use the Rational Root Theorem.

According to the theorem,

Any rational zero of a polynomial function with integer coefficients must have the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.

In this case,

The constant term is -9, which has factors of ±1, ±3, ±9.

The leading coefficient is 2, which has factors of ±1, ±2.

So the possible rational zeros are:

±1/1, ±3/1, ±9/1, ±1/2, ±3/2, ±9/2

Simplifying the fractions, the possible rational zeros are:

±1, ±3, ±9, ±1/2, ±3/2, ±9/2

Thus,

The possible rational zeros are ±1, ±3, ±9, ±1/2, ±3/2, ±9/2

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Answer:

roughly 8.58

Step-by-step explanation:

long division I hope this helps bye !!! have a great day!!! :D

Answer:

V≈2010.62m³

Step-by-step explanation:

Answer:

Step-by-step explanation:

a coordinate plane has given a coordinate to each an every point we draw on that. So when we have to find the radius of this circle , we have to find a pair of coordinates.

So I am taking these coordinates; (0,3) and (0,7)

So the radius = 7-3= 4 units

Sara used 3/5 cup of milk in the recipe. The answer corresponds to option (B) in the given answer choices.

The total amount of liquid used by Sara in the recipe is 1 cup. Out of this 1 cup, Sara used 2/5 cup of vinegar. Therefore, the amount of milk she used would be the difference between the total amount of liquid used and the amount of vinegar used.

Mathematically, we can represent this as:

Amount of milk = Total amount of liquid - Amount of vinegar

Amount of milk = 1 cup - 2/5 cup

Simplifying the expression on the right side, we get:

Amount of milk = 5/5 cup - 2/5 cup

Amount of milk = 3/5 cup

Therefore, Correct option is B.

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Complete question is:

Sara used a total of 1 cup of liquid for a recipe. She used 2/5 cup of vinegar, and the rest of the liquid she used was milk.

How much milk, in cups, did sara use for the recipe?

A) 2/5

B)3/5

C)5/5

D) 1 2/5​

For every 100 free throws Chris Paul attempted, he made approximately 93 of them.

We have,

Chris Paul's free throw percentage of 93.4 means that he made 93.4% of his free throw attempts during the 2020-21 season.

In other words, for every 100 free throws he attempted, he made approximately 93 of them.

This is a high free throw percentage and indicates that Chris Paul is a skilled free throw shooter.

Thus,

For every 100 free throws Chris Paul attempted, he made approximately 93 of them.

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Answer: 48.76 square inches.

Step-by-step explanation: A regular pentagonal prism has 7 faces: 2 pentagonal bases and 5 rectangular faces.

To find the surface area, we need to find the area of each face and add them up.

The area of one pentagonal base can be found using the formula:

A = (5/4) * (edge length)^2 * cot(π/5)

Substituting the given values, we get:

A = (5/4) * (2)^2 * cot(π/5)

≈ 6.8819 square inches (rounded to the nearest hundredth)

Since there are two pentagonal bases, their total area is:

2A ≈ 13.7638 square inches

The area of one rectangular face can be found using the formula:

A = (edge length) * (height)

Substituting the given values, we get:

A = 2 * 3.5

= 7 square inches

Since there are five rectangular faces, their total area is:

5A = 5 * 7 = 35 square inches

Therefore, the total surface area of the regular pentagonal prism is approximately:

13.7638 + 35 = 48.7638 square inches

Rounding to the nearest hundredth, we get:

Surface area ≈ 48.76 square inches.

The surface area of a regular pentagonal prism is 193.82 square inches.

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The formula for the surface area of a regular pentagonal prism is:

SA = 5 × base area + 5 × lateral face area

where the base area is the area of one of the pentagonal bases, and the lateral face area is the area of one of the rectangular faces.

Since the base is a regular pentagon, we can use the formula for the area of a regular pentagon:

Area of pentagon = (1/4) × n × s² × tan(180°/n)

where n is the number of sides of the pentagon (which is 5 since it's a regular pentagon), and s is the length of one of its sides.

In this case,

s = 2 inches

Area of pentagon = (1/4) × 5 × 2² × tan(180°/5)

Area of the pentagon = 6.8819 square inches

This is the area of one of the pentagonal bases.

Since there are two bases,

The total base area is:

Base area = 2 × 6.8819

                 = 13.7638 square inches

Now,

Each lateral face is a rectangle with a width equal to the base edge length (2 inches) and a height equal to the height of the prism (3.5 inches).

Lateral face area.

= base edge length × height

= 2 inches × 3.5 inches

= 7 square inches

Since there are five lateral faces, the total lateral face area is:

Lateral face area

= 5 × 7

= 35 square inches

Now we can add up the base area and lateral face area to get the total surface area:

SA = 5 × base area + 5 × lateral face area

     = 5(13.7638) + 5(35)

     = 193.819 square inches

Rounding this to the nearest hundredth.

SA = 193.82 square inches

Thus,

The surface area of a regular pentagonal prism is 193.82 square inches.

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If "cow" means that number is correct in value but in the wrong position, then the three-digit secret number is 714.

A "cow" means a digit is "correct in value" but in the "wrong position".

A "bull" means a digit is both "correct in value" and in the "correct position".

⇒ For the first guess (751),

There is 1 cow and 1 bull, which means that one digit is "correct in value" and in the "correct position" (1 bull), and another digit is "correct in value" but in the "wrong position" (1 cow).

⇒ For the second-guess (574),

There is 1 cow and 1 bull, which indicates that "one-digit" is "correct in value" and in the "correct position", and "another-digit" is "correct in value" but in the "wrong-position".

⇒ For the third guess (317),

There is 1 cow and 1 bull, which means that "one digit" is "correct in value" and in the "correct position", and "another digit" is "correct in value" but in the "wrong position".

So, Based on these clues, we can say that the correct secret number has 1 cow and 1 bull.

This means that two digits in the secret number are correct in value, with one digit in the correct position (1 bull), and another digit in the wrong position (1 cow). So, the secret number is likely 714, because it satisfies these conditions.

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The given question is incomplete, the complete question is

Deduce the 3-digit secret number.

[A cow means a number is correct in value but in the wrong position. A bull indicates that a number is both correct in value and in the correct position. i.e. 2 cows and 1 bull would indicate that all three numbers were correct but two were in the wrong positions. ]

Guess     Secret Number   Cows    Bulls

 1st                   751                  1            1

 2nd                 574                 1            1

 3rd                  317                  1            1

Answer:

Therefore, the answer is: The graph of the equation is a straight line passing through the points (0, -2), (7, 2), and (-7, -6).

Step-by-step explanation:

The given equation is y = (4/7)x - 2.

To graph this equation, we need to plot points on a coordinate plane. We can do this by choosing values of x and then finding the corresponding values of y using the equation.

Let's choose some values of x and find the corresponding values of y:

When x = 0, y = (4/7)(0) - 2 = -2

When x = 7, y = (4/7)(7) - 2 = 2

When x = -7, y = (4/7)(-7) - 2 = -6

We now have three points: (0, -2), (7, 2), and (-7, -6). We can plot these points on a coordinate plane and draw a line through them to get the graph of the equation.

The picture below shows the graph of the inequality of x² ≤ 4

Option B is correct.

In mathematics, an inequality is described as a relation which makes a non-equal comparison between two numbers or other mathematical expressions which is used most often to compare two numbers on the number line by their size.

A graph of inequality denotes that the variables is the set of points that represents all solutions to the inequality.

A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.

Therefore, the correct option is B. x² ≤ 4

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The Pythagorean Theorem can be utilized in any situation to establish a connection between the side lengths of the squares and the sort of triangle that results.

Let's use the notation "a, b, and c" to indicate the three squares' side lengths, where "a" stands for the shortest side, "b" for the midpoint, and "c" for the longest side.

The area of the largest square (c), which is created by the hypotenuse of the triangle, is equal to the sum of the areas of the two smaller squares when three squares' sides form an acute triangle.

The areas of the two smaller squares (a and b) formed by the two larger squares (a and b) are equal when three squares have sides that form an obtuse triangle.

If three squares have sides that make a right triangle, then the sum of the areas of the two small squares is equal to the area of the largest square (c) formed by the hypotenuse of the right triangle.

In all cases, the Pythagorean Theorem can be used to determine the relationship between the side lengths of the squares and the type of triangle formed.

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The values using trigonometric ratios are sinR = 15/17; cosR = 8/17, tanR = 15/8

An equation is an expression that uses mathematical operations to show how numbers and variables are related to each other.

Pythagoras ratio is an equation that shows the relationship between the sides of a right triangle.

To find TR, using Pythagoras:

TR² = TY² + YR²

TR² = 15² + 8²

TR = 17

Trigonometric ratios show the relationship between sides and angles of right triangle.

Hence:

sinR = 15/17; cosR = 8/17, tanR = 15/8

The values are sinR = 15/17; cosR = 8/17, tanR = 15/8

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Answer:

  15.0 in

Step-by-step explanation:

You want the height of a cone with radius 8 in and slant height 17 in.

The right triangle shown in the figure has height h, base x = 8 in, and slant height y = 17 in. The Pythagorean theorem tells you the relationship between these side lengths:

  x² +h² = y²

  8² +h² = 17²

  h² = 17² -8² = 289 -64 = 225

  h = √225 = 15.0

The height of the cone is 15.0 inches.

__

Additional comment

A triple of 3 integers that form the sides of a right triangle is called a "Pythagorean triple." The triple in this problem is one of those: {8, 15, 17}. Other Pythagorean triples you will often see in algebra, trig, and geometry problems are {3, 4, 5}, {5, 12, 13}, {7, 24, 25}, {9, 40, 41}. You will also see multiples of these, for example 3×{3, 4, 5} = {9, 12, 15}.

It can be worthwhile to remember some of these. For this problem, recognizing 8 and 17 as part of the triple {8, 15, 17} means you can write down the answer with no further work.

Step-by-step explanation:

We can use the formula for exponential growth to find the rate at which the sunfish gains mass:

M(t) = M(0) * e^(kt)

where:

M(0) = the initial mass of the sunfish (which we don't know)

k = the growth rate constant (which we also don't know yet)

t = the elapsed time since the sunfish was born (in days)

e = the mathematical constant approximately equal to 2.71828...

We are given the formula for M(t), which is:

M(t) = 4 * (81/49)^t

This means that M(0) = 4 * (81/49)^0 = 4.

To find the growth rate constant k, we can use the fact that the sunfish gains 2/7 of its mass every day. This means that the daily growth rate is 2/7 of the current mass. In other words, the daily growth rate is:

(2/7) * M(t)

We can relate this to the exponential growth formula by taking the derivative of M(t) with respect to t:

dM/dt = k * M(t)

Taking the derivative of M(t), we get:

dM/dt = ln(81/49) * 4 * (81/49)^t

Setting this equal to the daily growth rate, we get:

(2/7) * M(t) = ln(81/49) * 4 * (81/49)^t

Simplifying this expression, we get:

k = ln(81/49) * 4/7

Using a calculator, we can evaluate this expression to get:

k ≈ 0.0919

Therefore, the rate at which the sunfish gains mass is given by:

dM/dt = 0.0919 * M(t)

To find out how much mass the sunfish gains in one day, we can substitute M(t) = 4 * (81/49)^t into this formula and evaluate it at t = 1 (since we want to know the daily rate of change):

dM/dt = 0.0919 * 4 * (81/49)^1

dM/dt ≈ 0.54

This means that the sunfish gains 0.54 milligrams every day. To express this as a fraction of its mass, we can divide by the current mass:

(0.54/4) ≈ 0.1375

So the sunfish gains approximately 2/7 (or 0.2857) of its mass every 2.08 (or 7/2.54) days. Rounded to two decimal places, this is 0.14 or approximately 2/7 of its mass every 2.08 days.

The answer depends on the rank of A.

If the rank of A is less than 4, then the dimension of its null space is greater than or equal to 4-rank(A).

If the rank of A is 4, then the dimension of its null space is 0.

The dimension of the null space of a matrix A is given by the number of linearly independent vectors that satisfy the equation A x = 0,

where x is a column vector.

Since A is a 6x4 matrix, the equation A x = 0 represents a homogeneous system of 6 linear equations in 4 unknowns.

The rank-nullity theorem states that the rank of a matrix plus the dimension of its null space equals the number of columns of the matrix. Therefore, we have:

rank(A) + dim(null(A)) = 4

The rank of A is at most 4, since there are only 4 columns.

If the rank of A is 4, then the dimension of its null space is 0, because there are no linearly independent vectors that satisfy A x = 0. On the other hand, if the rank of A is less than 4, then the dimension of its null space is at least 4-rank(A).

Therefore, the smallest possible dimension of null(A) is:

dim(null(A)) = 4 - rank(A).

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The smallest possible dimension of the null space (nul A) for a 6x4 matrix A is 0.

To determine the smallest possible dimension of the null space (nul A) of a 6x4 matrix A, we need to consider the rank-nullity theorem, which states:

dim(A) = rank(A) + dim(nul A)

Here, dim(A) represents the dimension of the matrix A, rank(A) represents the rank of the matrix A, and dim(nul A) represents the dimension of the null space of A.

For a 6x4 matrix A, the dim(A) is 4 since there are 4 columns. The rank(A) represents the number of linearly independent columns, and it can be at most 4 since there are 4 columns.

To find the smallest possible dimension of the null space, we need to maximize the rank(A). In this case, the maximum possible rank(A) is 4. Now, using the rank-nullity theorem:

4 = 4 + dim(nul A)

Solving for dim(nul A), we get:

dim(nul A) = 4 - 4
dim(nul A) = 0

Therefore, the smallest possible dimension of the null space (nul A) for a 6x4 matrix A is 0.

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The main advantage of an independent measures design is that it reduces the risk of order or practice effects and minimizes the influence of individual differences between participant

An independent measures design, also known as a between-subjects design, is a type of research study in which different groups of participants are used for each condition being tested.

In other words, each participant is only exposed to one condition, and the data from each group is analyzed and compared to determine if there are any significant differences between the groups.

The main characteristics of an independent measures design are:

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Answer:

3/8x8/3 = 1    

ur welcome I hoped I helped u answering ur question!!

Answer: 1

Step-by-step explanation:

3/8 * 8/3 just simplifies to 1 because the numerator and denominator will be equal meaning it equals 1.

Answer:

y = [tex]-\frac{19}{9} (x+3)^{2} + 5[/tex]

Step-by-step explanation:

The form of a quadratic function is y = a(x-h)^2 + k, where (h, k) is the vertex. From the givens in the problem, we know that (h, k) = (-3, 5), and another point on it will be (x, y) = (0, -14). Plug both of these into the equation to get:

-14 = a(3)^2 + 5

-19 = 9a

a = -19/9

∴ The equation is y = [tex]-\frac{19}{9} (x+3)^{2} + 5[/tex]

Method of predicting a continuous dependent variable on the basis of two or more independent variables. The correct answer is (b)

Multiple regression is a statistical technique used to examine the relationship between a single dependent variable and multiple independent variables.

It is a type of regression analysis that can help to identify which independent variables are related to the dependent variable and to what extent.

The goal of multiple regression is to create a model that can be used to predict the value of the dependent variable based on the values of the independent variables.

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Answer:

a) a square number:64

b) a multiple of 13:65

c) a factor of 186:62

d)the prime number:61,67