Find the real numbers that satisfy the equation below.
|x| = -35.8

Answer:

\(AB= \frac{97}{3}\)

Step-by-step explanation:

Properties of Rhombus

We are given two sides of the rhombus BC and CD. According to the first property:

4x + 15 = 7x + 2

Subtracting 4x:

15 = 3x + 2

Subtracting 2:

13 = 3x

Dividing by 3:

\(x=\frac{13}{3}\)

It's required to find the side AB. Applying the first property again:

AB= BC = CD = 4x + 15

\(AB =4*\frac{13}{3}+15\)

\(AB= \frac{52}{3}+15\)

\(AB= \frac{97}{3}\)

Answer:

(1,-2)

Step-by-step explanation:

Rotation of Figures

When we rotate a figure 90 degrees clockwise across the origin, each point of the given figure has to be changed from (x, y) to (y, -x).

We are given the point (2,1) and it is rotated 90 degrees clockwise across the origin, thus the image has coordinates (1,-2).

The figure below shows the point and its image.

To forecast using data that has seasonality, one commonly used method is seasonal decomposition of time series (STL). This method separates the time series data into three components: trend, seasonality, and residuals. By isolating the seasonal component, you can forecast future values by extrapolating the pattern observed in previous seasons.

Another approach is the use of seasonal autoregressive integrated moving average (SARIMA) models. SARIMA models are an extension of ARIMA models that incorporate seasonal patterns. These models capture both the trend and seasonality in the data and can be used to make forecasts.

To control volatility in various time series models, a common technique is to use a volatility model, such as the generalized autoregressive conditional heteroskedasticity (GARCH) model. This model estimates the volatility of the time series by incorporating past volatility and squared residuals. By modeling and forecasting the volatility, you can better understand and manage the potential fluctuations in the time series data.

A simple moving average method is a technique used to smooth out fluctuations and identify trends in time series data. It involves calculating the average of a fixed number of data points, often referred to as the window size or period. As new data becomes available, the oldest data point in the window is dropped, and the newest data point is included in the calculation. This process is repeated for each subsequent data point. The resulting moving average values can provide insights into the overall trend of the data, helping to identify patterns or changes over time.

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Answer:

\( \sqrt{ {12}^{2} + {9}^{2} } \\ = \sqrt{144 + 81} \\ = \sqrt{225} \\ = 15cm\)

Step-by-step explanation:

AB²+ BC²= AC²

AC= √AB²+BC²

Answer:

0

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

using rise over run we have -1/2

Answer:

use a budget

Step-by-step explanation:

Answer: B

Step-by-step explanation: I used a graphing site named Geogebra and found the equation is -x+y=-4 and the slope is up 2, right 2 which would give us 2/2 which simplifies to 1

to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below

\((\stackrel{x_1}{1}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-1}-\stackrel{y1}{(-3)}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{1}}} \implies \cfrac{-1 +3}{2} \implies \cfrac{ 2 }{ 2 } \implies 1\)

19/49 = 0.388

Probability at least two were born on the same day of the week = 1 - probability of all three people were born on different days of the week

Probability of three random people born on different days of the week = 7/7 x 6/7 x 5/7 = 30/49

Probability that at least two were born on the same day of the week = 1 - 30/49 = 19/49 = 0.388

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Since the output of the sigmoid function is 0.64, the predicted probability of the observation being malignant is 0.64. We need to set a threshold probability to classify the observation as malignant or benign.

If we set the threshold probability at 0.5, the observation would be classified as malignant, since the predicted probability (0.64) is greater than the threshold probability. However, the choice of threshold probability depends on the specific problem and the costs associated with false positives and false negatives. So, the predicted category would be malignant if the threshold probability is set at 0.5.

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Answer:

1.5 ounces

Step-by-step explain:

for every 3 ounces of juice, 2 ounces of water is needed.

therefore, 3/2 = 1.5 ounces

Answer:

Range is the extension of the values across the x-y plane. We can see the data extends as far as -13 and as far as 11 so (-13,11)

There are 205,379 possible 3-letter "words" when repetitions are allowed and 195,822 possible 3-letter "words" when no repetitions are allowed in an alphabet of 59 letters.

For the first case, since we are allowed to use letters more than once in a word, we have 59 choices for each of the three positions in the word. Therefore, the number of possible 3-letter "words" is simply:

59 x 59 x 59 = 59^3 = 205,379

For the second case, we can no longer use the same letter more than once in a word. For the first letter, we have 59 choices, for the second letter we only have 58 choices left, and for the last letter we only have 57 choices left. Therefore, the number of possible 3-letter "words" with no repeated letters is:

59 x 58 x 57 = 195,822

So, there are 205,379 possible 3-letter "words" when repetitions are allowed and 195,822 possible 3-letter "words" when no repetitions are allowed in an alphabet of 59 letters.

In this problem, we are asked to determine the number of different 3-letter "words" that can be formed using an alphabet of 59 letters, with and without the restriction of not being able to use a letter more than once in a word.

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Answer:

I think it's letter A

Step-by-step explanation:

but I'm not sure ok

The dollar gains depreciated relative to the pound when the price of pounds in dollars increases, for instance, from $1 = 1 pound to $2 = 1 pound.

Devaluation of a currency can take place in both absolute and relative terms. When the value of one currency declines in relation to the values of other currencies, this is referred to as a relative devaluation. For instance, the British pound sterling may be worth more today than it did yesterday in terms of US dollars.

A currency's value declines when compared to other currencies, which is known as currency depreciation. Political unrest, interest rate differences, weak economic fundamentals, and investor risk aversion are a few examples of the causes of currency devaluation.

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The equation can be used to model the height as a function is\(\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5\)  where t is time, the second option is correct.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We know the general equation for the cosine function:

\(\rm y = A\ cos(bx-c)+d\)

Where A is the amplitude

We have a wall clock that varies from 9 feet to 10 feet.

The value of 'A' is given by:

\(\rm A = \frac{10-9}{2} \Rightarrow 0.5\)

b is the cycle speed, we know:

\(\rm T = \frac{2\pi}{b}\)   (T is period)

\(\rm12 = \frac{2\pi}{b}\)

\(\rm b=\frac{\pi}{6}\)

The value of d is given by:

\(\rm d = \frac{10+9}{2}\)

d = 9.5

The equation can be modeled:

\(\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5\)   (c =0 and y =h)

Thus, the equation is  \(\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5\)

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Answer: B, h = 0.5 cosine (StartFraction pi Over 6 EndFraction t) + 9.5

Step-by-step explanation: edge :)

The equation to see how far Zach travels is y = 21x and Zach traveled 336 miles using 16 gallons of gas.

Number of miles traveled Zach's car traveled= 21 miles

Quantity of gallons used = 1 gallon

y = kx

Where,

x = total gallons used

k = unit rate of miles per gallon

y = Number of miles traveled

So,

21 = k × 1

21 = k

y = 21x

Hence,

if he uses 16 gallons of gas

y = kx

y = 21 × 16

y = 336 miles

In conclusion, Zach's car traveled 336 miles.

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Answer:Jim gets £24

Step-by-step explanation:

Let the amount Natasha gets be represented as x

SO that Krutika getting  three times as much as Natasha be represented as 3x

AND Jim getting  twice as much as Krutika  be represented as 2 x 3x=6x

The equation to show how much each gets can be represented as

x + 3x  +6x=40

Solving

x +3x + 6x=40

10x =40

x =40/10 =4

Natasha gets £4

Krutika gets 3x =3x4= £12

Jim gets 6x=6 x4= £24

Answer:

Calculator 1: Calculate the percentage of a number.

For example: 60% of 100 = 60

Calculator 2: Calculate a percentage based on 2 numbers.

For example: 60/100 = 60%

The value of fy(2, -1) is -2e.a partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held constant (as opposed to the total derivative, in which all variables are allowed to vary).

Partial derivatives are used in vector calculus and differential geometry.

The partial derivative of a function f(x, y) with respect to x is denoted by ∂f/∂x. The partial derivative of f(x, y) with respect to y is denoted by ∂f/∂y.

The partial derivative of f(x, y) with respect to y is equal to e^x / y^2. To find the value of fy(2, -1), we need to evaluate this partial derivative at the point (2, -1). ∂f/∂y = e¹/y

When x = 2 and y = -1, the value of the partial derivative is equal to -2e. This is because e¹/(-1) = -e.

Therefore, the value of fy(2, -1) is -2e.

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Answer:

\(=12\sqrt{15} -40\sqrt{5}\\\)

Step-by-step explanation:

\((2\sqrt{10} )(3\sqrt{6} -5\sqrt{8} )=(2\sqrt{10} )(3\sqrt{6} )-(2\sqrt{10} )(5\sqrt{8} )\)

\(=6\sqrt{60} -10\sqrt{80}\)

\(=6\sqrt{4(15)} -10\sqrt{16(5)}\)

\(=6(2)\sqrt{15} -10(4)\sqrt{5}\)

\(=12\sqrt{15} -40\sqrt{5}\)

Hope this helps

1. The probability of selecting exactly one tank with high-viscosity material is 0.

2. The probability of selecting at least one tank with high-viscosity material is 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is 0.25.

1. The probability of selecting exactly one tank with high-viscosity material is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 4, x = 1, and p = 24/24 = 1. Therefore, P(X = 1) = (4C1)1^1(1-1)^4-1 = 0.

2. The probability of selecting at least one tank with high-viscosity material is calculated by the complement rule, P(X > 0) = 1 - P(X = 0). In this case, P(X > 0) = 1 - (4C0)1^0(1-1)^4-0 = 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 8, x = 2, and p = 24/24 = 1. Therefore, P(X = 2) = (8C2)1^2(1-1)^8-2 = 0.25.

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Answer:

y= \(\frac{1}{12}\) · x²

Step-by-step explanation:

\(\frac{1}{4 times P}\) ·x²

p=3

\(\frac{1}{4times3}\) ·x²

(C) Regression analysis is the statistical method commonly used to estimate the level and trend in a time series by modeling the relationship between the data and independent variables.

Regression analysis is the statistical method used to estimate the level and trend in a time series. Time series data represents observations taken at different points in time and is commonly used to analyze trends and patterns over time.

Regression analysis allows us to model the relationship between a dependent variable (in this case, the time series data) and one or more independent variables (such as time or other relevant factors). By using regression analysis, we can identify the underlying trend in the time series and estimate its level.

The regression model captures the relationship between the dependent variable (the time series) and the independent variable(s) by fitting a line or curve that best represents the data. This line or curve helps to identify the overall trend and level of the time series.

While moving average, simulation method, covariance analysis, and correlation analysis are useful techniques in analyzing time series data, they are not specifically designed to estimate the level and trend in a time series. Therefore, (C) regression analysis is the most appropriate method for estimating the level and trend in a time series.

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Answer:

x = -4 + 8yi/3 + i/3, y = -3xi/8 - 1/8 - 3i/2

Answer:

Part 1 and 2: P represents principle, or the original cost of the mortgage. i represents the annualinterest rate (r/n), and t represents time. When you change the time it affects monthlypayments because theres either more or less time to pay off the mortgage. Having a longertime to pay off means you'll have lower monthly payments. When the interest rateincreases, the monthly payment increases. This is because the higher the interest rate, themore interest you're paying. Changing the principle means you either have more or lessmoney to pay off.P2: Increasing i will increase the total cost since more interest will be charged. Increasingtime means there's more periods for interest to gather so the total cost will increase.Shortening the time will decrease the total cost because there will be less time for interestto accumulate.

Answer:

9

Step-by-step explanation:

3-(-6)=9

Hi there! :)

Answer:

\(\huge\boxed{q -r = 9}\)

q = 3

r = -6

q - r = 3 - (-6) = 9