Determine the domain of the function:
3x²-2
f(x) = { 10x - 12
X
3
-10 1 7≤x≤15

Answer:

-17

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

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Answer:

The product that will be larger is 3x1/5

Step-by-step explanation:

So in order to know this we have to look at the fractions. We already know that 1/5 is larger than 1/10. To double check our work, we can convert these fractions into percents. 1/5 being 20% and 1/10 being 10%. So now that we have prooved 1/5 is larger, multiplying the larger fraction by three will give us a larger product.

Hope this helped ;)

The probability that the man is standing where he started when he is finished is 1/2

Given is that a large, regular hexagon is drawn on the ground, and a man stands at one of the vertices. The man flips a coin. If the coin lands heads, he walks counterclockwise along the edge of the hexagon until reaching the next nearest vertex. If the coin lands tails, he walks clockwise around the hexagon until reaching another vertex.  The man flips the coin a total of six times.

Now, for either all heads or all tails, the person will land at same place. So, we can write that -

number of favorable outcomes = N{F} = 6

total number of favorable outcomes = N{T} = 12

P{E} = N{F}/N{6}

P{E} = 6/12

P{E] = 1/2

Therefore, the probability that the man is standing where he started when he is finished is 1/2.

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such pair of equation that have only one pair of solutions which satisfy both equation is linear equation

Answer:

7384.46330241 or 7384.5

Step-by-step explanation:

first to find the Y you had to use distributive property

1. 9(1+0.03) = 9+0.27

2. 9+0.27= 9.27

3. 9.27 to the 4th power will be 7384.46330241 or 7384.5

Answer:

10.13

Step-by-step explanation:

Remark

The correct way to do this is to add what is inside the brackets (the terms are alike so you can do that) and raise the result to the forth power. Then you multiply by 9.

Solution

1 + 0.03 = 1.03

1.03 ^4 = 1.1255

1.1255 * 9 = 10.13

The solution to the equation 2(t - 5) = 48 is t = 29.

To solve the equation 2(t - 5) = 48, we can use the following steps:

Distribute the 2 to the terms inside the parentheses:

2t - 10 = 48

Add 10 to both sides of the equation to isolate the variable term:

2t = 58

Divide both sides of the equation by 2 to solve for t:

t = 29

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Answer:

480 miles

Step-by-step explanation:

Answer:

1) 1

2) 12/B

3) 12

4) 1  2/5

5) 4

6) 1  1/10

7) 4  1/2

8) 1  7/10

9) 32  1/2

10) 9

Y = x+1

Udbzjsjdbejdjjejejejdjejejejsjdjdjdjdjejejekieeu

Answer:

y = x + 1

Step-by-step explanation:

As x increases, y increases by 1. Therefore, the slope is 1. If we set x to 0, that'll make y equal 1. Therefore, the y-intercept is 1.

Answer:

I only know No.1

Step-by-step explanation:

The figure is a right triangle i'm sorry I cant do much more than that.

The distance (d) that Aidan traveled is 1500 meters.

To find the distance Aidan walked, we need to consider the total distance he covered during the entire journey.

First, Aidan walked from home to his friend's house, covering a distance of 900 meters in 15 minutes. We can calculate his speed using the formula: Speed = Distance / Time. Therefore, Aidan's speed during this leg of the journey is 900 meters / 15 minutes = 60 meters per minute.

After reaching his friend's house, Aidan stayed for 30 minutes. This period of time does not contribute to the distance he walks, as he remains stationary.

Finally, Aidan walks back home in 10 minutes. Using the speed calculated earlier (60 meters per minute), we can determine the distance covered: Distance = Speed * Time = 60 meters/minute * 10 minutes = 600 meters.

Therefore, the total distance Aidan walked is 900 meters + 600 meters = 1500 meters.

Hence, the distance (d) that Aidan traveled is 1500 meters.

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The vector r is orthogonal to every column of X.

Let y be the response vector, X be the design matrix, and \($\hat{y}$\)  be the vector of fitted values,

where \(\hat{y} = X\hat{\beta}$ and $\hat{\beta}$\) is the vector of estimated coefficients.

The vector of residuals is defined as \(r = y - \hat{y}$.\)

To show that r is orthogonal to every column of X, we need to show that \($r^T X_j = 0$\) for all j,

where \($X_j$\)  is the j-th column of X.

\($r^T X_j = (y - \hat{y})^T X_j$\)

\($= y^T X_j - \hat{y}^T X_j$\)

\($= y^T X_j - (\hat{\beta}^T X^T)_j X_j$\)\((using the fact that $\hat{y} = X\hat{\beta}$)\)

\(= y^T X_j - X_j^T (\hat{\beta}^T X^T)$ (using the fact that $(AB)^T = B^T A^T$)\)

\($= y^T X_j - X_j^T X \hat{\beta}$\)

\(= y^T X_j - X_j^T X (X^T X)^{-1} X^T y$ (using the fact that $\hat{\beta} = (X^T X)^{-1} X^T y$)\)

\($= y^T X_j - (X X_j)^T (X^T X)^{-1} X^T y$\)

\($= y^T X_j - X_j^T (X^T X)^{-1} (X^T y)$\)

\(= y^T X_j - X_j^T \hat{y}$ (using the fact that $\hat{y} = X\hat{\beta}$)\)

\(= y^T X_j - y^T X_j = 0$.\)

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To show that the vector of residuals, r, is orthogonal to every column of x, we need to show that the dot product between r and every column of x is equal to zero.

The residuals, r, can be calculated as r = y - Xb, where y is the vector of observed values, X is the design matrix, b is the vector of estimated coefficients, and the hat over X denotes the estimated values.  Let's assume that xj is the jth column of the design matrix X, where j can be any integer between 1 and p. The dot product between r and xj is given by:

r'xj = (y - Xb)'xj

    = y'xj - b'X'xj

    = y'xj - b'ej  (where ej is the jth column of the identity matrix)

    = y'xj - b[j]

where b[j] is the jth element of the vector b. Since the least squares estimator b minimizes the sum of the squared residuals, we have X'r = 0, which means that the dot product between r and every column of X is equal to zero. Therefore, the vector of residuals, r, is orthogonal to every column of x.

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Answer:

C;) 738m^2

Step-by-step explanation:

Numbers play a crucial role in helping us predict the ebbs and flows in our lives. They are used to measure and quantify patterns and cycles that occur in our daily lives, such as circadian rhythms.

Circadian rhythms are the physical, mental, and behavioral changes that follow a 24-hour cycle, responding primarily to light and darkness in an organism's environment. Numbers help us measure and track these rhythms, allowing us to predict when we will feel awake or sleepy, hungry or full, and so on.

For example, we know that the average human circadian rhythm is 24.2 hours, and that our bodies produce the hormone melatonin at night to help us sleep. By measuring and tracking these numbers, we can predict when we will feel tired and need to sleep, and when we will feel awake and alert.

Numbers also help us predict other patterns in our lives, such as our menstrual cycles, the best times to exercise, and when we are most likely to get sick. By tracking and measuring these numbers, we can better understand and predict the ebbs and flows in our lives and make more informed decisions about our health and well-being.

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Indexing blogs, labeling blogs and tagging entries are effective techniques for increasing people's ability to find your business blogs and wikis.

When done effectively, indexing blogs guarantees that themes are organized in an easily navigable framework that people can use to explore your content, which increases the number of people who can find your company blogs and wikis.

Labelling blogs is advantageous since it enables you to give your blog entries keywords and subjects, which makes it simpler for search engines to find your content.

By tagging entries, you can connect relevant subjects and give readers a longer means of research. All of these strategies are crucial for enhancing discoverability and ensuring that your company's blogs and wikis get viewed by the target audience.

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Answer:

i) 0 is the additive identity of rational number

Answer:

\(slope=\frac{4}{5}\)

Step-by-step explanation:

\(y=\frac{4}{5} x-3\)

This is written in slope-intercept form:

\(y=mx+b\)

m is the slope and b is the y-intercept. x and y are the corresponding points (x,y).

Therefore, the slope is \(\frac{4}{5}\).

:Done

Answer:

the equation is 9.75c=20.75

then the amount is 2.13

Step-by-step explanation:

Answer: c - 9.75 = 20.75

  flip it   20.75 - 9.75 = c

             -  9.75

        ____________

                11.00

C = 11.00

Answer:

0

Step-by-step explanation:

15-12= 3

3^2 is 9

9-9= 0

Answer:

basically, it means all the numbers greater then five i think

Answer:

1. $19.91

Step-by-step explanation:

Answer: 32.5

Step-by-step explanation: you divide it.

Answer:

15n

Step-by-step explanation:

Amal has a bookcase with n shelves. There are 15 books on each shelf. Using n, write an expression for the total number of books.

The expression for the total number of books is given as:

Number of shelves × Number of books in each shelf

= n × 15 books

= 15n