The value of the triple integral ∫∫∫E x^2dV where E is the region inside xE E both x^2 + y^2 + x^2 - 36 and z = √3x^2 + 3y^2 is in the interval: Select one: a. [0,1] b. [1000, 10000]
c. [10000, [infinity]] d. None of these d. (100, 1000)

Answer:

9.) The Outlier is 18

-The outlier is the number that stands out and is different

The positive infinity and negative infinity on a graph is explain below.

the idea of something limitless, interminable, without bound. The normal sign of infinity, ∞, was concocted by the English mathematician John Wallis in 1655. Three principal sorts of vastness might be recognized: the numerical, the physical, and the supernatural

Positive infinity is shown by rightmost point on the graph.Its symbol is +∞.

Negative infinity is shown by leftmost point on the graph.Its symbol is -∞.

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Answer: 1/3

Step-by-step explanation:

They are both divisible by each other. 2187/2187 is 1, and 6561/2187 is 3, so it's 1/3.

Answer:

2 units up and 4 units to the right.

Step-by-step explanation:

It is 2 units up and 4 units to the right because since the x-coordinate is positive, that means the point is to the right of the origin and since the y-coordinate is positive, that means the point is above the origin.

Answer:

choice 1) 312 cm²

Step-by-step explanation:

area = (16 x 12) + (10 x 12) = 312 cm²

Answer:

312

Step-by-step explanation:

triangle：

10x12/2=60

two triangle：

60x2=120

rectangle：

16x12=192

add up：

120+192=312

Recall that 60 minutes makes 1 hour

Hence 4 hours will be

= 60 * 4

= 240 minutes

If in 15 minutes, she can pick 1/3 pounds of berries

then 240 minutes

= 240/15 * 1/3

= 16/3 pounds

= 5 1/3 pounds

Answer:

x>4

Step-by-step explanation:

3x - 2 >10  add 2 to both sides

3x > 12  Divide both sides by 3

x >4

Answer:

\(x > \bf 4\)

Step-by-step explanation:

To find a solution to this inequality, we have to rearrange this equation to make \(x\) its subject:

\(3x - 2 > 10\)

⇒ \(3x - 2 + 2 > 10 + 2\)      [Add 2 to both sides]

⇒ \(3x > 12\)

⇒ \(\frac{3x}{3} > \frac{12}{3}\)                         [Divide both sides by 3]

⇒ \(x > \bf 4\)

The average rate of change of f(x) = 5x is greater than the average rate of change of g(x) = 25x over the interval (-∞, 0]. This is because the slope of f(x) is constant at 5, while the slope of g(x) is increasing from 0 to 25.

The average rate of change of a function is calculated by finding the slope of the secant line that intersects the graph of the function at two different points. In this case, we are interested in the secant line that intersects the graphs of f(x) and g(x) at the points (0, 0) and (x, 5x). The slope of this secant line is 5x, which is greater than the slope of the secant line that intersects the graphs of f(x) and g(x) at the points (0, 0) and (x, 25x). This is because the slope of g(x) is increasing from 0 to 25. Therefore, the average rate of change of f(x) is greater than the average rate of change of g(x) over the interval (-∞, 0].

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Answer:

-27 °C

Step-by-step explanation:

-15 -12 = -27

Given:

Total tip = £77.40

Paul, Colin and Brian share the tips in the ratio 2:3:4.

To find:

How much more does Brian get over Paul?

Solution:

Let the shares of Paul, Colin and Brian are 2x, 3x and 4x respectively.

\(2x+3x+4x=77.40\)

\(9x=77.40\)

\(x=\dfrac{77.40}{9}\)

\(x=8.6\)

Now, the different between Brian and Paul share is

\(Difference=4x-2x\)

\(Difference=2x\)

\(Difference=2(8.6)\)

\(Difference=17.2\)

Therefore, Brain get £17.2 much more over Paul.

Regarding the graphs of the functions \(h(x) = x^2 - 4\) and \(g(x) = (x - 4)^2,\) the following statements are true:

The vertex of the graph of h(x) is located at (0, -4), while the vertex of the graph of g(x) is located at (4, 0).

The vertex represents the minimum or maximum point of the parabola.

The graph of h(x) opens upwards, indicating a positive coefficient for the \(x^2\)  term, while the graph of g(x) also opens upwards due to the positive coefficient of the squared term \((x - 4)^2.\)

The graph of h(x) intersects the x-axis at x = -2 and x = 2, indicating the solutions to the equation \(x^2 - 4 = 0.\)

On the other hand, the graph of g(x) intersects the x-axis at x = 4, representing the solution to the equation \((x - 4)^2 = 0.\)

It's important to note that the graph of h(x) is a standard quadratic function, while the graph of g(x) is a quadratic function with a horizontal shift of 4 units to the right.

The differences in their vertex, x-intercepts, and shape indicate these variations between the two functions.

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Answer:

2.4 meters

Step-by-step explanation:

Take f(x) = 0 to find lateral distance covered.

0 = 25x² - 120 + 144

=> (5x - 12)²

=> x = 12/5

=> x = 2.4 meters

So f(x) is 0

\(\\ \rm\hookrightarrow 25x^2-120x+144=0\)

\(\\ \rm\hookrightarrow (5x)^2-2(5x)(12)+12^2=0\)

\(\\ \rm\hookrightarrow (5x-12)^2=0\)

\(\\ \rm\hookrightarrow 5x-12=0\)

\(\\ \rm\hookrightarrow 5x=12\)

\(\\ \rm\hookrightarrow x=12/5\)

\(\\ \rm\hookrightarrow x=2.4m\)

Let the population be P .

If 65%  are female then 35%   must be male.

therefore, 5005= 35/100 × P

                 P=5005 × 100/35

                    =14300.

A population, in statistics and other mathematical fields, is a discrete group of people, animals, or things that can be identified by one or more common characteristics for the purposes of data collection and analysis. To gather information about a large population, you typically collect data from samples.

The population is the sum of people surveyed. In this example, the population corresponds to the university under study, which is 250 people. Determine the sample size of the study. The sample size is the number of people the statistician surveys.

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Answer:h=e-200/3

Step-by-step explanation:

Answer: 81 cm

Step-by-step explanation:

You would get this because if 1 cm = 4 meters than divide 324 meters by the 4 meters to find how many cm there is and you will get 81 cm hope this helps and have a good day

None of the given functions (A, B, C, or D) have a horizontal asymptote at y = 3 since they are all linear functions, not exponential functions. Thus, the correct option is :

(E) None of these.

To determine which of the given exponential functions has a horizontal asymptote at y = 3, we need to examine the behavior of the functions as x approaches positive or negative infinity.

Let's analyze each option:

(A) f(x) = -3x + 3

This is a linear function, not an exponential function. It does not have an exponential growth or decay component and does not have a horizontal asymptote at y = 3.

(B) f(x) = -3x - 3

Again, this is a linear function, not an exponential function. It also does not have an exponential growth or decay component and does not have a horizontal asymptote at y = 3.

(C) f(x) = 3 - x + 3

This is not an exponential function. It is a linear function with a negative slope. It does not have an exponential growth or decay component and does not have a horizontal asymptote at y = 3.

(D) f(x) = 3 - x - 3

Similar to the previous options, this is not an exponential function. It is a linear function with a negative slope. It also does not have an exponential growth or decay component and does not have a horizontal asymptote at y = 3.

Thus, the correct option is :

(E) None of these.

The correct question should be :

Which of the following exponential functions has a horizontal asymptote at y=3 ？

(A) fx=-3x+3

(B) fx=-3x-3

(C) fx=3-x+3

(D) fx=3-x-3

(E) None of these.

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Answer:

156

Step-by-step explanation:

200 minus 22 percent is 44.

200 minus 44 is 156.

Therefore the reduced version has 156 calories.

The new snack has 156 calories.

To find the number of calories in the new snack, we can start by calculating the 22% reduction in calories compared to the old version.

The old version of the snack has 200 calories.

To determine the reduction, we calculate 22% of 200 calories:

22% of 200 = (22/100) * 200 = 0.22 * 200 = 44 calories.

This means that the new snack has 44 fewer calories than the old version.

To find the number of calories in the new snack, we subtract the reduction from the old version's calories:

200 calories - 44 calories = 156 calories.

Therefore, the new snack has 156 calories.

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The best way to compare exam score to the number of hours of sleep is by

Histogram, you can easily determine the score using the bars on the histogram at every hours of sleep.

Scatter

Step-by-step explanation:

oh come on ! you can see that with common sense : it is 2)

while the data itself is the same, but in figure B it is kind of suggested that "Super Cinema" had twice the sales of "Bud's Movies". which is not the case at all.

and that is one of the problems, when you don't show the whole data range (which happens when you don't start the data range at the actual beginning - like 0 in this case).

as I keep saying : never trust a statistic you have not falsified yourself ...

Mila will receive 68 EUROS of money after the exchange of 80 US dollar.

USD is the official money currency of united states of America.. its symbol of representation is $., also value of 1 US$ =82 rupee.

Unit of money used in other countries of European union is known as euro, also value of 1 EURO=87 rupee.

According to the given data in the question,

1 USD =0.85 EURO

80 USD = 0.85*80 EURO

80 USD= 68 EURO

Hence 80USD will be converted to 68 EUROS

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The reliability of a study using multiple regression analysis depends on a, b, and c, but not d.

Regression analysis depends on Omitted variable bias refers to the problem of leaving out important variables from the regression model that could affect the dependent variable. This can lead to biased and inconsistent estimates of the regression coefficients.

Errors-in-variables refer to measurement errors in the independent or dependent variables. These errors can result in biased and inconsistent estimates of the regression coefficients.

Homoskedasticity in the error term refers to the condition where the variance of the error term is constant across all values of the independent variables. This is important because it ensures that the regression coefficients are unbiased and efficient.

External validity refers to the ability to generalize the findings of a study to other populations or settings. While important for the overall usefulness of the study, it does not affect the reliability of the multiple regression analysis itself. So, regression analysis depends on a,b,c but not on d.

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Answer:

5 = y

7.1 = x

Step-by-step explanation:

(There are so many ways we can solve this, let's solve this the easiest way):

Let's solve for y first =

We can say;

Tan(45) = y/5

Tan(45) * 5 = y

1 * 5 = y

5 = y

Now let's solve for x;

5² + y² = x²

5² + 5² = x²

25 + 25 = x²

50 = x²

\(\sqrt{50\\}\) = x

7.1 = x

Hope this helps!

Answer:

Y=5 x=50

Step-by-step explanation:

Okay, I'm gonna name this triangle XYZ.

An isosceles triangle is when two sides are equal. We know that an area of a triangle is always 180 degrees. A right triangle always has one degree of 90 degrees. We know that y∠45, x∠90, so z has to be 45 as well.  We know this is a right isosceles triangle due to the angles it has given us.

Now, we know y and z are the same sizes. y=z

using the Pythagorean theorem

take a square root of sums of squares \(x=y^2+z^2\)

\(5^2=25\)

25+25=50

The value of b² - 4ac for the equation x² + 5x + 4 = 0 is 9.

What is the discriminant of a polynomial?

The discriminant of a polynomial is a function of its coefficients and is represented by the capital ‘D’ or Delta symbol (Δ). It shows the nature of the roots of any quadratic equations where a, b, and c are real numbers.

It is represented as ‘D’

D = b² - 4ac

Where,

a is the coefficient of x²

b is the coefficient of x

c is a constant term

x² + 5x + 4 = 0

We have given:

x² + 5x + 4 = 0

Comparing the equation with the standard form.

a = 1, b = 5 and c = 4

Substituting it in the formula

D = 5² - 4 × 1 + 4

By further calculation

D = 25 - 16

D = 9,

The quadratic roots are real and distinct

Therefore, the value of b² - 4ac is 9.

Hence, The value of b² - 4ac for the equation x² + 5x + 4 = 0 is 9.

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Answer:

\(2x + 9 = y \\ - 4x - 3 = y \\ so \: both \: equation \: is \: equal \\ 2x + 9 = - 4x - 3 \\ 2x + 4x = - 3 - 9 \\ 6x = - 12 \\ x = \frac{ - 12}{6} \\ x = - 2\)

Answer:

Step-by-step explanation:

A function that describes  relationship between Amite temperature and the heights of individuals plants is:

f(x) = -0.08x + 4.9

where, x is temperature, in degrees Celsius and f(x) is plants height in meters

In this question, we have been given a scientist is studying the relationship between Amite temperature and the heights of individuals plants.

When the ambient temperatures was 25 degree Celsius plants reached maximum heights of 4.9 meters

and when the ambient temperatures was 30 degrees Celsius plants reached maximum heights of 4.4 meters.

We need to find a function that describes this relationship where x is temperature, in degrees Celsius and f(x) is plants height in meters.

The rate of change in the height of plants.

Consider points (25, 4.9) and (30, 4.4)

r = (4.4 - 4.9) / (30 - 25)

r = -0.4 / 5

r = -0.08

So, a linear function in slope-intercept form would be,

f(x) = -0.08x + b

for x = 25,

2.9 = -0.08(25) + b

b = 2.9 + 2

b = 4.9

so, we get a linear function

f(x) = -0.08x + 4.9

Therefore, a function that describes  relationship between Amite temperature and the heights of individuals plants is:

f(x) = -0.08x + 4.9

where, x is temperature, in degrees Celsius and f(x) is plants height in meters

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