What is 823,563 rounded to the nearest ten thousand?
O 820,000
O 825,000
O 830,000
O 800,000

Step 1:

The formula for the area of a hexagon can also be given in terms of the apothem as,

Area of hexagon

where 'a' is the length of the apothem and 'P' is the perimeter of the hexagon.

Step 2:

Length of the sides = 15 cm

Step 3:

Find the Apothem ' a '

Find each angle

Next

Answer: 1 x 10^3

Step-by-step explanation:

The sqrt() function returns the input, which is the square root. Passing a negative integer to sqrt() is forbidden!

Mathematics department includes quantities and their variations, equations and related structures, shapes and their locations and places to find them. The term "function" refers to a relationship between a set of inputs, each of which has its own output. A relationship between inputs and outputs, where each input leads to one distinct output, is called a function. Each function is assigned a domain and a code area, ie. scope In general, f denotes functions (x). the input is x. There are four main types of features available. based on the following factors: functions, one-to-one functions, many-to-one functions, internal functions and functions.

The Sqrt() function provides an input, which it receives as a return value, which is the square root. Passing a negative integer to sqrt() is forbidden! Defining symbolic constants for use in programs requires the use of the #define Preprocessor directive.

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The maximum rate of change always occurs in the direction of the gradient.

The directional derivative of a function f(x, y) in the direction of a unit vector v = ⟨a, b⟩ is defined as follows:

D_vf(x, y) = ∇f(x, y) · v

∇f(x, y) represents the gradient vector of f(x, y), which is defined as ∇f(x, y) = ⟨∂f/∂x, ∂f/∂y⟩. It is a vector that points in the direction of the steepest ascent of the function at a given point (x, y).

v = ⟨a, b⟩ is the unit vector that determines the direction in which we want to compute the derivative.

To show why the maximum rate of change of a function always occurs in the direction of the gradient, we can use the definition of the directional derivative.

Let's consider the dot product ∇f(x, y) · v, where v is a unit vector:

∇f(x, y) · v = ||∇f(x, y)|| ||v|| cosθ

In this equation, ||∇f(x, y)|| represents the magnitude (or length) of the gradient vector, ||v|| is the magnitude of the unit vector v (which is 1), and θ is the angle between ∇f(x, y) and v.

Since ||v|| = 1, the equation simplifies to:

∇f(x, y) · v = ||∇f(x, y)|| cosθ

The maximum value of the cosine function is 1, which occurs when the angle θ between the vectors is 0° (or when they are parallel). In this case, cosθ = 1, and the equation becomes:

∇f(x, y) · v = ||∇f(x, y)||

Therefore, the maximum rate of change of the function f(x, y) occurs when the angle between the gradient vector ∇f(x, y) and the direction vector v is 0°, or when they are parallel. In other words, the maximum rate of change happens when we move in the direction of the gradient.

This result is intuitive since the gradient vector points in the direction of the steepest ascent of the function. Moving in the direction of the gradient allows us to maximize the rate of change of the function at a given point.

If we were to move in a different direction, the dot product would be smaller than the magnitude of the gradient vector, resulting in a slower rate of change.

Therefore, the maximum rate of change always occurs in the direction of the gradient.

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Answer:

85.2

ggggggggggggggggggg

The amount invested 11 years ago is 200.66 rupees.

According to the statement

We have to find that the amount that they invested 11 years ago.

So, For this purpose, we know that the

Interest is defined as the amount of money paid for the use of someone else's money.

From the given information:

boy's parents gave him Rs. 30 000 for his 21st birthday. His parents said that them had invested a sum of money on his 10th birthday that had grown at 13,5% pa for 11 years

Then

The interest rate is 13.5%

And time is 11 years.

Then after 11 years of the interest rate of the 13.5% the amount become 30,000

According to the principal rate of the formula

A = P(1 + rt)

30,000 = P(1 + 13.5(11))

30,000 = P(1 + 148.5)

30,000 = P(149.5)

P = 30,000/149.5

P = 200.66.

So, The amount invested 11 years ago is 200.66 rupees.

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Answer:

he has 10.75 left over :)

Answer:

Step-by-step explanation:

20-3-5.50-2.25= $9.25

The function f is defined as a mathematical rule that relates an input value x to an output value, which is determined by the equation f(x) = sqrt(25-x^2). In this case, the function takes an input value x and returns the square root of the difference between 25 and x squared. This function is defined for all values of x between -5 and 5, as any value outside of this range would result in a negative number under the square root function, which is not defined in real numbers.


The function f is defined by the equation f(x) = sqrt(25 - x^2). To work with this function, follow these steps:

1. Identify the input variable x, which is within the parentheses f(x).
2. Substitute the value of x into the equation, replacing the x in (25 - x^2).
3. Calculate the result of the expression inside the square root, (25 - x^2).
4. Finally, take the square root of the calculated result to find the output value f(x).

Remember that this function has a domain restriction, as the value inside the square root must be greater than or equal to zero. Therefore, the domain of the function f is -5 ≤ x ≤ 5.

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Answer:

WHat is te question?

Step-by-step explanation:

HUH?

Richard's net pay for the week, considering Social Security, Medicare, and FIT deductions, can be calculated by subtracting the total deductions from his gross earnings.

First, let's determine the amount deducted for Social Security. The Social Security rate is 6.2%, and the maximum earnings subject to this deduction are $118,500. Since Richard is $1,000 below the maximum level, the amount subject to Social Security deduction is $1,000. Therefore, the Social Security deduction is 6.2% of $1,000.

Next, we calculate the Medicare deduction. The Medicare rate is 1.45%, and it is applied to the entire earnings of $1,700.

To calculate the FIT deduction, we need additional information about Richard's taxable income, tax brackets, and exemptions. Without this information, we cannot provide an accurate calculation for the FIT deduction.

Finally, we subtract the total deductions (Social Security, Medicare, and FIT) from Richard's gross earnings of $1,700 to obtain his net pay for the week.

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=========================================================

Explanation:

Focus solely on triangle ABD.

Let x be the length of AD. This is the unknown horizontal leg of the triangle. The vertical leg is known, so we'll say b = 16.

The hypotenuse is 20, so c = 20.

Use the pythagorean theorem to find x

a^2 + b^2 = c^2

x^2 + 16^2 = 20^2

x^2 + 256 = 400

x^2 = 400 - 256

x^2 = 144

x = sqrt(144)

x = 12

Segment AD is 12 cm long.

The required answers are:

1) The center of the circle = (4, 8)

2) The radius of the circle = 2.5 units

3) The equation of the circle = (x - 4)² + (y - 8)² = 6.25

The equation of the circle which has a center at (h, k) and a radius of 'r' units is (x - h)² + (y - k)² = r²

To calculate radius 'r', we have r = sqrt( (x1 - h)² + (y1 - k)²)

Where (x1, y1) is the point that lies on the circle.

Given that,

The endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5)

We know that the longest chord on a circle is nothing but the diameter of the circle.

So, the center is the midpoint of the diameter. I.e.,

(h, k) = (\(\frac{4+4}{2}\), \(\frac{5.5+10.5}{2}\))

⇒ (h, k) = (4, 8)

Therefore, the center of the circle is (4, 8)

Then, the radius is calculated by

r = sqrt( (x1 - h)² + (y1 - k)²)

⇒ r = \(\sqrt{(4-4)^2+(5.5-8)^2}\)

⇒ r = 2.5 units

Thus, the radius of the circle is 2.5 units.

So, the equation of the circle with center (4, 8) and radius of 2.5 units is,

(x - h)² + (y - k)² = r²

⇒ (x - 4)² + (y - 8)² = 2.5²

⇒ (x - 4)² + (y - 8)² = 6.25

Thus, the equation of the circle is x - 4)² + (y - 8)² = 6.25.

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Answer:

Variability (also called spread or dispersion) refers to how spread out a set of data is. Variability gives you a way to describe how much data sets vary and allows you to use statistics to compare your data to other sets of data. The four main ways to describe variability in a data set are: range. Interquartile range.

Step-by-step explanation:

Answer:

x<3

Step-by-step explanation:

We divide equation by 3. So we get x<3. You can think of it with logic, too.

Answer:

x<3

Step-by-step explanation:

3x< 9

Divide each side by 3

3x/3 <9/3

x < 3

There is an open circle at 3 and a line going to the left

Answer:

C

Step-by-step explanation:

Answer:

0 and 3

Step-by-step explanation:

bcoz do thatok u understand

Answer:d

Step-by-step explanation:

Check the picture below.

Answer:

itanong mo kay kapatid na arlene

It is D. If you multiply D by 3.14 and it matches the C, it is the right one. So it is D

(a) The value of the function f.g(x) = f(x²+9) = (x²+9)²
(b) The value of the function g.f(x) = g(x²) = x⁴+9
(c) The value of the function f.f(x) = f(x²) = (x²)²
(d) The value of the function g.g(x) = g(x²+9) = (x²+9)²+9

Domains of each:
(a) All real numbers
(b) All real numbers
(c) All real numbers
(d) All real numbers

For composite functions, you insert the second function into the first function.

(a) f.g(x) = f(g(x)) = f(x²+9) = (x²+9)²
(b) g.f(x) = g(f(x)) = g(x²) = x⁴+9
(c) f.f(x) = f(f(x)) = f(x²) = (x²)²
(d) g.g(x) = g(g(x)) = g(x²+9) = (x²+9)²+9

The domain of a function is the set of input values for which the function is defined. Since all these composite functions are polynomial functions, they are defined for all real numbers.

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The surface area of the box as a function of x will be f(x) = x² + 20000/x² where x is the length of the square base's edge.

Here it is given that the box has a square base.

This implies that length = breadth

Now, the volume of a box = lbh = 5000 cu in

where l is the length of the box. b is the breadth of the box, and h is the height of the box.

or, x²h = 5000

or, h = 5000/x²

Let the surface area function be f(x) where x is the length of the edge of the square base.

Since the box is open, the surface area will be

lb + 2bh + 2lh

= x² + 10000/x² + 10000/x

= x² + 20000/x²

Hence the surface area as a function of x will be

f(x) = x² + 20000/x²

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In the given problem, random samples of four different models of cars were selected and the gas mileage of each car was measured. The results are shown below:21 226 22 725 21
Given that,The null hypothesis H0: All the population means are equal. The alternative hypothesis H1: At least one population mean is different from the others .

To find the hypothesis test, we will use the one-way ANOVA test. We calculate the grand mean (X-bar) and the sum of squares between and within to obtain the F-test statistic. Let's find out the sample size (n), the total number of samples (N), the degree of freedom within (dfw), and the degree of freedom between (dfb).
Sample size (n) = 4 Number of samples (N) = n × 4 = 16 Degree of freedom between (dfb) = n - 1 = 4 - 1 = 3 Degree of freedom within (dfw) = N - n = 16 - 4 = 12 Total sum of squares (SST) = ∑(X - X-bar)2
From the given data, we have X-bar = (21 + 22 + 26 + 25) / 4 = 23.5
So, SST = (21 - 23.5)2 + (22 - 23.5)2 + (26 - 23.5)2 + (25 - 23.5)2 = 31.5 + 2.5 + 4.5 + 1.5 = 40.0The sum of squares between (SSB) is calculated as:SSB = n ∑(X-bar - X)2
For the given data,SSB = 4[(23.5 - 21)2 + (23.5 - 22)2 + (23.5 - 26)2 + (23.5 - 25)2] = 4[5.25 + 2.25 + 7.25 + 3.25] = 72.0 The sum of squares within (SSW) is calculated as:SSW = SST - SSB = 40.0 - 72.0 = -32.0
The mean square between (MSB) and mean square within (MSW) are calculated as:MSB = SSB / dfb = 72 / 3 = 24.0MSW = SSW / dfw = -32 / 12 = -2.6667
The F-statistic is then calculated as:F = MSB / MSW = 24 / (-2.6667) = -9.0
Since we are testing whether at least one population mean is different, we will use the F-test statistic to test the null hypothesis. If the p-value is less than the significance level, we will reject the null hypothesis. However, the calculated F-statistic is negative, and we only consider the positive F-values. Therefore, we take the absolute value of the F-statistic as:F = |-9.0| = 9.0The p-value corresponding to the F-statistic is less than 0.01. Since it is less than the significance level (α = 0.05), we reject the null hypothesis. Therefore, we can conclude that at least one of the population means is different from the others.

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Answer:

\(1\frac{7}{15}\)

Step-by-step explanation:

The computation of the water did Audrina drink altogether is as follows:

\(= \frac{4}{5} + \frac{2}{3}\\\\= \frac{12 + 10}{15} \\\\= \frac{22}{15}\)

Now in a mixed fraction, it would be

\(1\frac{7}{15}\)

Hence, the water did Audrina drink altogether is \(1\frac{7}{15}\)

The regression equation for the monthly sales is given as:

y = 64,100 + 0.394X1 + 9.6X2 - 11,600X3

where:

   y represents the estimated monthly sales in dollars

   X1 represents the regional population in thousands

   X2 represents the per capita income in dollars

   X3 represents the regional unemployment rate as a percentage

To find the estimated monthly sales for a particular region with a population of 796,000, per capita income of $6,940, and an unemployment rate of 6.0%, we need to substitute these values in the regression equation and solve for y.

Substituting X1 = 796, X2 = 6,940, and X3 = 6.0 in the regression equation, we get:

y = 64,100 + 0.394(796) + 9.6(6,940) - 11,600(6.0)

y = 64,100 + 313.184 + 66,384 - 69,600

y = $60,297.184

Therefore, the estimated monthly sales for the particular region is $60,297.184.

The estimated monthly sales for the particular region, given a population of 796,000, a per capita income of $6,940, and an unemployment rate of 6.0%, would amount to approximately $149,190.

To calculate the estimated monthly sales, we substitute the values of the independent variables (population, per capita income, and unemployment rate) into the regression equation. The equation is as follows: y = 64,100 + 0.394X1 + 9.6X2 - 11,600X3.

Plugging in the values, we get:

y = 64,100 + 0.394(796,000) + 9.6(6,940) - 11,600(6.0)

= 64,100 + 313,624 + 66,624 - 69,600

= 374,748 - 69,600

= $305,148.

Therefore, the estimated monthly sales for the particular region would amount to approximately $305,148.

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Answer:

6,-3

Step-by-step explanation:

Answer:

(6,-3)

Step-by-step explanation:

I don't know how to explain it you got it right tho

As a result, for the same data set, a 99% confidence interval would have a greater margin of error than a 90% confidence interval.

Answer: If a 90% confidence interval is constructed based on a sample of data, and it is 74% + 3%, a 99% confidence interval based on this same sample of data would have a larger margin of error and probably a different center.

What is a confidence interval? A confidence interval is a statistical technique used to establish the range within which an unknown parameter, such as a population mean or proportion, is likely to be located. The interval between the upper and lower limits is called the confidence interval. It is referred to as a confidence level or a margin of error.

The confidence level is used to describe the likelihood or probability that the true value of the population parameter falls within the given interval. The interval's width is determined by the level of confidence chosen and the sample size's variability. The confidence interval can be calculated using the standard error of the mean (SEM) formula

.A 90% confidence interval indicates that there is a 90% chance that the interval includes the population parameter, while a 99% confidence interval indicates that there is a 99% chance that the interval includes the population parameter.

When the level of confidence rises, the margin of error widens. The center, which is the sample mean or proportion, will remain constant unless there is a change in the data set. Therefore, alternative A is the correct answer.

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Answer:

Step-by-step explanation:

R>=4

ad four to both sides  

then simplify the expression by adding and fliping

Answer:

r≥4 (inequality form)

Step-by-step explanation:

Sorry if its wrong

Answer:

Step-by-step explanation:

The experimental probability of the cube landing on three is 1/10.