100 points to whoever can answer this: A bouncing ball reaches a height of 27 feet at its first peak, 18 feet at its second peak, and 12 feet at its third peak. Describe how a sequence can be used to determine the height of the ball when it reaches its fourth peak. PLEASE SEND HELP I DO NOT UNDERSTAND THIS PROBLEM ALGEBRA IS SOOOOOO HARRRRD!!!!!!!!!!!!!!!!!!!!!!! thanks

Answer:

x = 9

Step-by-step explanation:

x/4 = 2.25

9/4 = 2.25

Answer:

-p^4

Step-by-step explanation:

The term with highest degree goes first in standard form.

Answer: -p^4

Answer:

-\(p^{4}\)

Step-by-step explanation:

standard form means highest exponent to lowest exponent regardless of the terms coefficient.  

Answer:

base is 34 cm

height is 51 cm

Step-by-step explanation:

let 3x = height

let 2x = base

1734 = (2x)(3x)

1734 = 6x²

divide each side by 6 to get:

289 = x²

\(\sqrt{289}\) = x

17 = x

3(17) = height = 51

2(17) = base = 34

Answer:

-7/5

Step-by-step explanation:

It is given that,

→ (-4/5) + (-3/5) = ?

Let's solve the problem,

→ (-4/5) + (-3/5)

→ (-4/5) - (3/5)

→ (-4 - 3)/5 = -7/5

Thus, the answer is -7/5.

Answer:

A =101.956 cm^2

Step-by-step explanation:

The area of the parallelogram is given by

A = bh

A = 14.2 * 7.18

A =101.956 cm^2

Answer:

101.956

Step-by-step explanation:

Area equals bh

7.18(14.2)

No,  this is not  a geometric series or not based on the given information.

A geometric series is a series where each term is obtained by multiplying the previous term by a fixed constant called the common ratio. In the given series, we are only given a few consecutive terms without any information about the common ratio or the first term. Therefore, we cannot determine if this is a geometric series or not without more information.

If we were given additional information, such as the value of the first term and the common ratio, we could determine if this is a geometric series and find the sum of the series using the formula \(S = \frac{a(1-r^n)}{1-r}\), where a is the first term, r is the common ratio, and n is the number of terms in the series. However, without this information, we cannot make any conclusions about the nature of the series. Therefore, This is not a geometric series or not.

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Answer:

x = -12

Step-by-step explanation:

-10x+1+7x=37

Combine like terms

-3x+1 = 37

Subtract 1 from each side

-3x+1-1 = 37-1

-3x = 36

Divide by -3

-3x/-3 = 36/-3

x = -12

Answer:

x > 7

Step-by-step explanation:

3x-18 > 3

+18 3x-18 > 3 +18

3x > 21

x > 7

The quotient of this division problem option A: 18 r89.

To find the quotient of the division problem 13,391 ÷ 739, we divide the dividend (13,391) by the divisor (739). The quotient represents the whole number result of the division, and any remaining value is the remainder.

Performing the division, we have:

First, we determine how many times 739 can be divided into 13,391 without exceeding it. We find that 739 can be divided into 13,391 eighteen times. We write this as the first part of the quotient:

      18

-------------

739 | 13,391

      739

We have a remainder of 89, which means we couldn't divide 89 further by 739 without exceeding it. Hence, we write the remainder after the division symbol:

 ----------

       6,651

      5,913

 ----------

         738

Remember, when performing division, the quotient represents the whole number result obtained from dividing the dividend by the divisor, and the remainder represents what is left after the division.

The division process shows that the quotient is 18 (OA) with a remainder of 738. Therefore, the correct answer is OA: 18 r89.

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The standard error of the mean for the given sample is 1.710. The 98% confidence interval for the population mean is calculated to be (15.924, 20.076).

The standard error of the mean (SE) measures the variability of sample means around the population mean. It is calculated by dividing the population standard deviation by the square root of the sample size. In this case, the population standard deviation is 26, and the sample size is 230. Thus, the standard error of the mean can be calculated as \(\[SE = \frac{{26}}{{\sqrt{{230}}}} \approx 1.710\]\).

To determine the confidence interval for the population mean, we can use the z-distribution table. Since the sample size is large (n > 30) and the population standard deviation is known, we can use the z-distribution instead of the t-distribution. The critical value for a 98% confidence level is found by subtracting (1 - 0.98) / 2 = 0.01 from 1, resulting in a z-value of 2.33 (rounded to 2 decimal places). The confidence interval is calculated as:

Confidence interval = sample mean ± (z × SE)

Confidence interval = 18 ± (2.33 × 1.710)

Confidence interval ≈ (15.924, 20.076)

For the second scenario with a sample size of 8 and a 99% confidence level, we cannot determine the confidence interval without the population standard deviation. With a small sample size, we would typically use the t-distribution instead of the z-distribution. However, since the population standard deviation is not provided, it is not possible to calculate the confidence interval accurately. The t-distribution relies on the sample standard deviation as an estimate of the population standard deviation, which is not available in this case.

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By conducting this regression analysis, you will gain insights into how the "proportion" variable influences the likelihood of being married.

To carry out a regression of the variable "married dummy" on the variable "proportion" and name it as Exhibit 1, you would use statistical software such as R, Python, or Excel. The "married dummy" variable should be coded as 0 or 1, where 0 represents unmarried and 1 represents married individuals. The "proportion" variable represents the proportion of a specific characteristic, such as income or education level.

Using the regression analysis, you can determine the relationship between the "married dummy" variable and the "proportion" variable. The regression model will provide you with coefficients that indicate the magnitude and direction of the relationship.

Since you specifically asked for a long answer of 200 words, I will provide additional information. Regression analysis is a statistical technique that helps to understand the relationship between variables. In this case, we are interested in examining whether the proportion of a certain characteristic differs between married and unmarried individuals.

The regression model will estimate the intercept (constant term) and the coefficient for the "proportion" variable. The coefficient represents the average change in the "married dummy" variable for each one-unit increase in the "proportion" variable.

The regression output will also include statistics such as R-squared, which indicates the proportion of variance in the dependent variable (married dummy) that can be explained by the independent variable (proportion). Additionally, p-values will indicate the statistical significance of the coefficients.

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Answer:106

Step-by-step explanation:

106

Answer:

44

Step-by-step explanation:

The volume of the candle is 234.57 cubic centimeters.

The amount of empty space or the amount of material that a frustum may hold determines its volume. It is expressed in cubic units like cm3, m3, and in3. The portion of a three-dimensional form that contains the shape's base is known as the frustum of the shape when it is split in two by a plane that is parallel to the shape's vertex (or apex).

Given that,

Height = 8 cm

The formula required to find the volume is:

Frustum Volume = \(\pi *h*(R_{a^{2} } + R_{a} * R_{b }+R_{b^{2} } ) / 3\)

Volume = [PI * 8 * (2² + 2*4 + 4²)]  / 3

Volume = [3.14159265 * 8 * (4 + 8 + 16)] / 3

Volume = 234.57 cubic centimeters

Refer to the image for the missing question.

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D. The set W would be a subspace of set of real numbers R cubed.

For a set to be considered a vector space, it must satisfy the following conditions:

1. It contains the zero vector (the additive identity).

2. It is closed under vector addition.

3. It is closed under scalar multiplication.

Since the set W is a subset of R cubed, it inherits the properties of R cubed, including the zero vector. Therefore, option C is not true.

Options A and B are not necessarily true for all subsets of R cubed. They may hold for some specific subsets, but they are not general properties that apply to all subsets.

Option D is the correct answer because it states that the set W would be a subspace of R cubed. A subspace is a subset of a vector space that is itself a vector space, satisfying all the properties of a vector space. Since W is a subset of R cubed, it would be a subspace if it satisfies the three conditions mentioned above.

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Answer:

3

Step-by-step explanation:

The interquartile range is where the 2nd and 5th dots are, on the opposite ends of the square, from 15-18.

Answer:

3

Step-by-step explanation:

The interquartile range (IQR) is the difference between the upper quartile (Q₃) and the lower quartile (Q₁).

In a box plot:

From inspection of the given box plot:

Therefore:

IQR = Q₃ - Q₁

      = 18 - 15

      = 3

So the interquartile range of the given box plot is 3.

The yield to maturity on this bond according to the trial-and-error approach is 9.66 percent.

According to the statement

we have given that the Uan zhang bought a 10-year bond that pays 8. 25 percent interest per 6 months.

And we have to find that the yield to maturity on this bond.

So, For this purpose,

The amount given is $911. 10.

Years to maturity = n = 10

Coupon rate = C = 8.25%

Semiannual coupon = $1,000 × (0.0825/2) = $41.25

Yield to maturity = i

Present value of bond = PB = $911.10

Use the trial-and-error approach to solve for YTM. Since the bond is selling at a discount, we know that the yield to maturity is higher than the coupon rate.

Try YTM = 9.4%:

= $522.90 + 391.54 ≅ $914.43

The YTM is approximately 9.66 percent. Using a financial calculator provided an exact YTM of 9.656 percent (2 × 4.828%).

So, The yield to maturity on this bond according to the trial-and-error approach is 9.66 percent.

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To find the number of radios that had both digital tuners and CD players, we need to use the concept of overlapping sets. We know that there were 210 radios with digital tuners and 270 with CD players, but some of these radios had both features.

To find the number of radios that had both digital tuners and CD players, we need to subtract the number of radios that had only one of these features from the total number of radios.

Let X be the number of radios that had both digital tuners and CD players.

Then, the number of radios that had only digital tuners is 210 - X, and the number of radios that had only CD players is 270 - X.

The total number of radios is given as 300, so we can set up an equation:

X + (210 - X) + (270 - X) = 300

Simplifying this equation, we get:

X = 180

Therefore, there were 180 clock radios with both digital tuners and CD players.

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Answer: I think B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Equation 1.

Given Equation:

Electrician A = $5000 for the hours working.

Equation 2.

Given Equation:

Electrician B: $4500.

The median of a distribution of one random variable, X, is a value of x of X, such that P(X=x) = 1/2. If there exists such a value, x, then it is called the median.

The probability distribution is given by `f(x) = 0.5x`, where `x = 1, 2, 3, .....`We have to find the median of the given distribution.To find the median, we have to find the value of x such that P(X = x) = 0.5.Now, we have to find the value of x such that the probability of X is 0.5.The probability distribution of X is given by f(x) = 0.5x, where x = 1, 2, 3, ....Therefore, we have to find the value of x such thatP(X = x) = 0.5f(x) = 0.5xP(X = x) = f(x)0.5x = 0.5x2 = xThus, the median of the distribution is 2.

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Answer:

i think it is b correct me if i am rong

Step-by-step explanation:

The correct equation for the solution to be one will be y = 2(x -1) hence, the correct option is (B).

The link between lines and points is described by a graph, which is a diagrammatic representation of a network. A graph is made up of some points and the distance between two. It doesn't matter how much time the lines are or where the points are located. A node is a name for each constituent in a graph.

For example to draw the equation y = 2x +9 this will draw a straight line in the coordinate geometry.

Given that an equation y = 2x - 2 now another equation draw which should intersect with the line y = 2x - 2 at a single point only so that the system has only one solution.

so the y = 2x - 2 should be matched with any one option.

By cross-checking the option it will be (B) with equation y = 2(x -1).

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P(4, 60°) is not equal to P(4, π/2). The polar coordinate P(4, 60°) has a different angle (measured in radians) compared to P(4, π/2). It is important to convert angles to the same unit (radians or degrees) when comparing polar coordinates.

To determine if P(4, 60°) is equal to P(4, π/2), we need to convert both angles to the same unit and then compare the resulting polar coordinates.

First, let's convert 60° to radians. We know that π radians is equal to 180°, so we can use this conversion factor to find the equivalent radians: 60° * (π/180°) = π/3.

Now, we have P(4, π/3) as the polar coordinate in question.

In polar coordinates, the first value represents the distance from the origin (r) and the second value represents the angle measured counterclockwise from the positive x-axis (θ).

P(4, π/2) represents a point with a distance of 4 units from the origin and an angle of π/2 radians (90°).

Therefore, P(4, 60°) = P(4, π/3) is False, as the angles differ.

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The cost of a given number of handbags - Discrete

Amount of juice in a jug over time - Continuous

Area of a field based on length - Continuous

Tires in a number of cars -Discrete

A discrete function as its name suggests has distinct or separate values against one value. That is, one at a time values are in a discrete function. So its domain and image sets will have discrete values.

A continuous function has continuous values within intervals. Its domain will be intervals having a continuous range and images will also be in a  continuous range.

We need to check if the following will have a discrete or a continuous graph:

1. The cost of a given number of handbags.

This is a discrete function as the cost and number of handbags will have discrete values. So it will have a discrete graph.

2. Amount of juice in a jug over time

This is a continuous function. The variables here are the amount of juice and time in which time, clearly, is a continuous variable. So it will have continuous values in an interval. So the amount of juice can also be measured continuously. So the graph will be continuous.

3.  Area of a field based on length

Here the length can take continuous values in an interval. So the area can also be measured continuously giving a continuous graph here.

4. Tires in a number of cars.

Number of tires and number of cars both will take only discrete values. So it can only give a discrete graph.

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The number line has been plotted in the attachment

A number line is a visual representation of numbers placed in a straight line. It is a tool used in mathematics to illustrate the concept of magnitude and order of numbers. The line is usually drawn horizontally, with zero placed in the middle and positive numbers to the right and negative numbers to the left.

The distance between the numbers on the line represents their magnitude or difference. Number lines are commonly used to teach students about basic arithmetic, fractions, decimals, and other mathematical concepts.

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Answer:

Step by step Explanation:

3x=20

x=20/3

x=6.6667

length=20.0001

width=6.6667