Help me with this this is confusing
give me the answer

Answer:

All Real Numbers

Step-by-step explanation:

To find the domain of a  quadratic function, we can make a table.

x     y     f(x)=6x^2+2

-1     8    6(-1)^2+2

0     2        6(0)^2+2

1       8  6(1)^2+2

You can keep going and identity that all the x values/ domains are real numbers.

Approximately normal with mean is $206,274 and standard deviation is $3,788 and this can be determined by applying the central limit theorem.

Given :

• There were 5,317 previously owned homes sold in a western city in the year 2000.
• The distribution of the sales prices of these homes was strongly right-skewed, with a mean of $206,274 and a standard deviation of $37,881.
• Simple random samples of size 100.

According to the central limit theorem the approximately normal mean is $206274.

Now, to determine the approximately normal standard deviation, use the below formula:

  ---- (1)

where 's' is the approximately normal standard deviation, 'n' is the sample size, and is the standard deviation.

Now, put the known values in the equation (1).

s = 3788.1

So, the correct option is A).

For more information, refer to the link given below:

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Answer:

(A) Approximately normal with mean $206,274 and standard deviation $3,788

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

Right skewed

Mean $206,274

Standard deviation $37,881.

Sample:

By the Central Limit Theorem, approximately normal.

Mean $206,274

Standard deviation

So the correct answer is:

(A) Approximately normal with mean $206,274 and standard deviation $3,788

Answer:given by what?

Graph of the function is attached below.

Correct option is D.

What is exponential function?

As the name suggests, the exponential function contains an exponent. Note, however, that the exponential function has a constant as its base and a variable as its exponent, not vice versa (if a function has a variable as its base and a constant as its exponent, it is a power function). The exponential function can be in one of the following forms:

Definition of exponential function

In mathematics, an exponential function is a function of the form f(x) = aˣ. where "x" is a variable and "a" is a constant  called the base of the function, which must be greater than 0.

Given, exponential function

f(x) = (1/4)4ˣ

exponential function is defined for x∈R

Putting x = 0

f(0) = (1/4)4⁰

f(0) = 1/4

Point on curve is (0,1/4)

Putting x = 1

f(1) = (1/4)4¹

f(1) = (1/4)4

f(1) = 1

Point on curve is (1,1)

Putting x = 2

f(2) = (1/4)4²

f(2) = (1/4)16

f(2) = 4

Point on curve is (2,4)

Putting x = 3

f(3) = (1/4)4³

f(3) = (1/4)64

f(3) = 16

Point on curve is (3,16)

Point (0, 1/4), (1, 1), (2, 4), (3, 16) can be used to draw graph of the function.

Hence, graph of the function is drawn as follows.

Learn more about exponential function here:

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Answer:

The Third one

Step-by-step explanation:

Your Welcome :)

Answer:

1.05 radians

Step-by-step explanation:

Given that Vanessa is skiing along a circular ski trail that has a radius of 2.5 km. She starts at the 3-o'clock position and travels in the Counter Clockwise direction.

She stops skiing when she is 1.244 km to the right and 2.169 km above the center of the ski trail.

This can be represented as (1.244, 2.169) on a circle of radius 2.5 km.

From the coordinate point (1.244, 2.169) derived, x=1.244 and y=2.169.

By the definition of tangent,

Vanessa swept out approximately 1.05 radians since she started skiing.

Final answer:

Vanessa's path on the circular ski trail has swept out an angle of 1.076 radians since she started skiing.

Explanation:

First, let's find the position vector of Vanessa's stop point. The position vector is given by the coordinates (x, y), where x is the horizontal distance and y is the vertical distance from the center of the ski trail. In this case, x = 1.244 km to the right and y = 2.169 km above the center. Therefore, the position vector is (1.244 km, 2.169 km).

Next, we need to find the angle swept out by Vanessa's path. To do this, we can use trigonometry. The radius of the ski trail is 2.5 km, and the position vector is (1.244 km, 2.169 km). We can use the inverse tangent function to find the angle:

angle = tan^(-1)(y/x) = tan^(-1)(2.169/1.244) = 61.63 degrees

Finally, we need to convert the angle from degrees to radians. To convert degrees to radians, we use the conversion factor π/180. So, the angle in radians is:

angle_radians = 61.63 degrees * (π/180) = 1.076 radians

Learn more about Swept Angle here:

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The given triangle is a righttriangle.

Option E is the correct answer.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The sum of the angles must be 180.

So,

45 + 45  + 90 = 180

This is a condition for the right triangle.

Thus,

The given triangle is a righttriangle.

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D and E

the triangle is right as it has a right angle as one of the 3 angles

the triangle is isosceles as it has 2 equal sides , indicated by the score on the equal sides and 2 equal base angles of 45°