Find area and circumference
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Answer:

B 6.6 ounces, 6 ounces, and 5.9 ounces

Step-by-step explanation:

First Kitten

Weighed: 4.1 ounces

Current weight => 4.1 ounces + 2.5 ounces

=>6.6 ounces

Second Kitten

Weighed: 3.5 ounces

Current weight => 3.5 ounces + 2.5 ounces

=>6 ounces

Third Kitten

Weighed: 3.4 ounces

Current weight => 3.4 ounces + 2.5 ounces

=> 5.9 ounces

Each of the kittens would weigh :

6.6 ounces, 6 ounces, and 5.9 ounces

Therefore, the Vickers tests of the sample are approximately 959 N/mm² and 1917 N/mm² for loads of 2.5 kg and 5 kg, respectively.

Given :Load = (2.5, 5) kg . diameter of square based pyramid diamond = 0.362 mm To find: Vickers tests of the sample Solution :The Vickers hardness test uses a square pyramid-shaped diamond indenter. It is used to test materials with a fine-grained microstructure or thin layers. The formula used to calculate the Vickers hardness is :Vickers hardness = 1.8544 P/d²where,P = load applied d = average length of the two diagonals of the indentation made by the diamond Now, we can calculate the Vickers hardness using the above formula as follows: For load = 2.5 k P = 2.5 kg = 2.5 × 9.81 N = 24.525 N For load = 5 kg P = 5 kg = 5 × 9.81 N = 49.05 N For both loads, we have the same diameter of square-based pyramid diamond = 0.362 mm .Therefore, we can calculate the average length of the two diagonals as :d = 0.362/√2 mm = 0.256 mm .Now, we can substitute the values of P and d in the formula to get the Vickers hardness :For load 2.5 kg ,Vickers hardness = 1.8544 × 24.525 / (0.256)²= 958.68 N/mm² ≈ 959 N/mm²For load 5 kg ,Vickers hardness = 1.8544 × 49.05 / (0.256)²= 1917.36 N/mm² ≈ 1917 N/mm².

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Answer:

(x+6) (x+6)

Step-by-step explanation:

x^2 + 12x+36

What 2 numbers multiply to 36 and add to 12

6*6 = 36

6+6 =12

(x+6) (x+6)

Answer:

\((x + 6)(x + 6)\)

Step-by-step explanation:

\(36 + 12x + {x}^{2} \\ {x}^{2} + 12x + 36 \\ {x}^{2} + 6x + 6x + 36 \\ x(x + 6) + 6(x + 6) \\ = (x + 6)(x + 6)\)

hope this helps

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good luck! have a nice day!

Work Shown:

P(8 or odd) = 3/4 = 0.75 = 75%

This is because there are 3 spaces we want that are either labeled "8" or they are an odd number (5 and 7), and there are 4 spaces total.

Therefore, the three consecutive odd integers are 17, 19, and 21.

An equation is a statement that shows the equality of two expressions, typically separated by an equal sign. An equation can contain variables, constants, coefficients, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. The goal of solving an equation is to find the value(s) of the variable(s) that satisfy the equality.

Here,

Let x be the first odd integer, then the second and third odd integers are x+2 and x+4, respectively, since the difference between consecutive odd integers is 2.

The sum of the three consecutive odd integers is 57, so we can write:

x + (x+2) + (x+4) = 57

Simplifying and solving for x, we get:

3x + 6 = 57

3x = 51

x = 17

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Answer: figure it out.

Step-by-step explanation: it's not hard, just put it in a calculator, knowledge...

Answer:

15%

Step-by-step explanation:

Answer:

C. 6x-4(3x-2)>= 20

Step-by-step explanation:

it is easy

The quantity of time spent studying and the test result generally have a positive relationship. Therefore, the likelihood that the test score will rise as study time increases is high.

In our approach, "personal relationships" refers to close connections between people that are created by emotional ties and interactions. These connections frequently develop out of and are strengthened by shared experiences.

Having supportive social networks helps us deal with stress, resolve problems, and overcome obstacles. Over the course of our lives, we interact with a wide variety of people. This includes connections with close friends, family, coworkers, neighbors, and intimate, among others.

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Fundamental Theorem of Differentiation value of g'(x) when g(x) = Sx 0 √6-5t²dt is -x / (6 - x²) + ∫[0 to √6-x²] x / \((6 - t^2)^{(3/2)}\) dt.

To determine g'(x), we need to find the derivative of g(x) with respect to x.

g(x) = ∫[0 to √6-x²] √(6 - t²) dt

Let's use the Fundamental Theorem of Calculus to differentiate g(x):

g'(x) = d/dx [∫[0 to √6-x²] √(6 - t²) dt]

Using the Chain Rule, we can write:

g'(x) = (√(6 - x²))' × √(6 - x²)' - 0

Now, we need to find the derivatives of √(6 - x²) and √(6 - x²)':

√(6 - x²)' = -x / √(6 - x²)

√(6 - x²)" = \(-(x^2 + 6 - x^2)^{(-3/2)}\) * (-2x)

Simplifying, we get:

√(6 - x²)' = -x / √(6 - x²)

√(6 - x²)" = x / \((6 - t^2)^{(3/2)}\)

Substituting these values, we get:

g'(x) = [(-x / √(6 - x²)) × √(6 - x²)] - ∫[0 to √6-x²] × / \((6 - t^2)^{(3/2)}\) dt

Simplifying, we get:

g'(x) = -x / (6 - x²) + ∫[0 to √6-x²] × / \((6 - t^2)^{(3/2)}\) dt

Therefore, g'(x) = -x / (6 - x²) + ∫[0 to √6-x²] × / \((6 - t^2)^{(3/2)}\) dt.

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The equation that can be used to find r, the rate of growth per year of the world population, is \(r = (7.53 / 5.88 )^{(1/20)} - 1\).

If we assume that the growth rate of the world population was constant from 1997 to 2017, then we can use the following equation:

Population in 2017 = Population in 1997 × (1 + r)²⁰

where r is the annual growth rate, and the exponent 20 represents the number of years between 1997 and 2017.

We can rewrite this equation to solve for r:

(7.53 ) = (5.88 ) × (1 + r)²⁰

Divide both sides by (5.88 ):

(7.53 ) / (5.88 ) = (1 + r)²⁰

Take the 20th root of both sides:

\((7.53 / 5.88 )^{(1/20)} = 1 + r\)

Subtract 1 from both sides:

\(r = (7.53 / 5.88 )^{(1/20)} - 1\)

Therefore, the equation that can be used to find r, the rate of growth per year of the world population, is \(r = (7.53 / 5.88 )^{(1/20)} - 1\).

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Answer:

n=5

Step-by-step explanation:

may i get brainliest if this is correct or helps?

The mean of T is -10 and the standard deviation of T is √425 when X1 and X2 are independent.

To find the mean of T, we can use the properties of expected values. Since T = 11X1 - 2X2, the mean of T can be calculated as follows: E(T) = E(11X1) - E(2X2) = 11E(X1) - 2E(X2) = 11(10) - 2(20) = -10. To find the standard deviation of T, we need to consider the variances and covariance of X1 and X2. Since X1 and X2 are independent, the covariance between them is zero. Therefore, Var(T) = Var(11X1) + Var(-2X2) = 11^2Var(X1) + (-2)^2Var(X2) = 121(2^2) + 4(3^2) = 484 + 36 = 520. Thus, the standard deviation of T is √520, which simplifies to approximately √425. When X1 and X2 have a correlation of -0.76, the mean and standard deviation of T remain the same as in the case of independent variables. To calculate the probability P(T > 30) when X1 and X2 are independent, normally distributed variables, we need to convert T into a standard normal distribution. We can do this by subtracting the mean of T from 30 and dividing by the standard deviation of T. This gives us (30 - (-10))/√425, which simplifies to approximately 6.16.  We can then look up the corresponding probability from the standard normal distribution table or use statistical software to find P(T > 30). The probability will be the area under the standard normal curve to the right of 6.16.

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Answer:

C) 30,80 PLATO

Step-by-step explanation:

This is the only answer that goes into the solution set on the graph, and the rest can be ruled out because they have either a half (you can't have half a bulb lol) or negative (how you gone have negative bulbs smh) and if you didn't rule out all others with these two they also have to LOOk like they are in the solution set. Thats how i solve ALL of them and get them correct.

Hopefully i helped and corrected the wrong answer up there!

This question is based on system of linear equation.Therefore, the correct option is ( C ), (30,80)  solution is valid within the context of the situation.

Given:

7x + 12y ≥ 1,000

x + y > 100

We need to determined the solution which  is valid within the context of the situation.

According to question,

A. (90,25)

Put this value in given both equation.

We get,

        630 + 300 \(\ngeqslant\) 1000

   ⇒ 930 \(\ngeqslant\) 1,000

       90 + 25 > 100

   ⇒ 115 > 100

B. (40,64.50)

        280 + 774 \(\geq\) 1000

   ⇒  1054 \(\geq\) 1000

       40 + 64.50 >100

   ⇒ 104.50 > 100

C. (30,80)

        210 + 960 \(\geq\) 1000

   ⇒  1170 \(\geq\) 1000

        30 + 80 = 110 >100

D. (200,-10)

       1400 -120 \(\geq\) 1000

   ⇒ 1280 \(\geq\)1000

       200 - 10 >100

  ⇒  190>100

Therefore, the correct option is (C), (30,80)  solution is valid within the context of the situation.because this is the only answer that goes into the solution set on the graph, and the rest can be ruled out because they have either a half (you can't have half a bulb lol) or negative (how you gone have negative bulbs smh).

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The division shows that the quotient is -3x² - 4x + 2 and the remainder is 147x² + 74x - 6.

           -3x² - 4x + 2

     ---------------------------

x³ + 6x² - 3x - 5 | -3 - 22x⁴ - 13x³ + 39x² + 14x - 6

          3x + 18x⁴ - 9x³ - 15x²

          -------------------------

                   -4x⁴ - 4x³ + 39x² + 14x

                   -4x⁴ - 24x³ + 12x² + 20x

                   -----------------------

                           20x³ + 27x² + 14x - 6

                           20x³ + 120x² - 60x - 100

                           -----------------------

                                     147x² + 74x - 6

Hence, the quotient is -3x² - 4x + 2 and the remainder is 147x² + 74x - 6.

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Answer:

Step-by-step explanation:

WX≅VY

VY = 7

CD≅BE

BE = 13

Answer:

-2

Step-by-step explanation:

Three times the sum of a number and ten is twenty-four.​

3 x (n + 10) = 24

24 / 3 = 8

n + 10 = 8

-2 + 10 = 8

3 x (-2 + 10) = 24

3 x 8 = 24

Answer:

\( - 2\)

Step-by-step explanation:

do the math

If a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two

When a categorical variable that has n categories is to be included as an independent variable in a linear regression analysis, it must be converted to n - 1 dummy variables. The reason for this is that including all n categories as dummy variables would cause perfect multicollinearity in the regression analysis, making it impossible to estimate the effect of each variable.In this case, the set of categories {Red, Blue, Green, Yellow} has four categories. As a result, n - 1 = 3 dummy variables are required to represent this variable in a linear regression. This is true since each category is exclusive of the others, and we cannot assume that there is an inherent order to the categories.The dummy variable for the first category is included in the regression model by default, and the remaining n - 1 categories are represented by n - 1 dummy variables. As a result, the number of dummy variables that are required to represent the categorical variable in the regression model is n - 1.

Thus, if a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two .

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14) Notice that:

Therefore:

Now, we know that:

Then:

18) Notice that:

Therefore:

Answer:

Answer:

(Q.14) 13.65

(Q.18) .81

Step-by-step explanation:

(Q.14)

136.5/10

1365/10 * 1/10

1365/100

13.65

(Q.18)

8100/10000

8100*1/10000

81/100

.81

The rate of change of y with respect to x is given by dy/dx = xy - (3/2)x²y.

To find the rate of change of y with respect to x, we need to differentiate the given equation. The rate of change can be determined by taking the derivative of both sides of the equation with respect to x.

First, let's differentiate each term separately using the rules of differentiation.

Differentiating x²y with respect to x gives us 2xy using the product rule.

To differentiate 5, we know that a constant has a derivative of 0.

Differentiating 2ln(y) with respect to x requires the chain rule. The derivative of ln(y) with respect to y is 1/y, and then we multiply by dy/dx. So, the derivative of 2ln(y) is 2/y * dy/dx.

Differentiating x³ gives us 3x² using the power rule.

Now, we can rewrite the equation with its derivatives:

2xy - 2/y * dy/dx = 3x²

To solve for dy/dx, we can isolate it on one side of the equation. Rearranging the equation, we get:

2xy = 2/y * dy/dx + 3x²

To isolate dy/dx, we move the term 2/y * dy/dx to the other side:

2xy - 2/y * dy/dx = 3x²

2xy = 2/y * dy/dx + 3x²

2/y * dy/dx = 2xy - 3x²

Now, we can solve for dy/dx by multiplying both sides by y/2:

dy/dx = (2xy - 3x²) * (y/2)

Simplifying further, we have:

dy/dx = xy - (3/2)x²y

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The number of square inches of glass they will Wayne need to build his display box is 1730.67 square inches.

We are given that;

Radius of sphere= 6inches

Now,

we can use the Pythagorean theorem to relate the radius of the sphere and the edge of the cube. If we draw a right triangle with one leg as the radius of the sphere and the hypotenuse as half of the diagonal of a face of the cube, we get:

r2+r2=(2e​)2

where r is the radius of the sphere and e is the edge of the cube. Simplifying and solving for e, we get:

e=22​r

Plugging in r=6, we get:

e=22​×6≈16.97

The surface area of a cube is given by:

S=6e2

Plugging in e≈16.97, we get:

S≈6×(16.97)2≈1730.67

Therefore, by Pythagoras theorem the answer will be 1730.67 square inches.

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Answer:

0.44444...

Step-by-step explanation:

It is irrational which means it goes on forever. Hope it helps! :)

To determine whether the given linear system is consistent or inconsistent, we can use the method of elimination.

The system consists of three equations with three variables: x, y, and z. By performing elimination operations, we can simplify the system and analyze its solutions.

Given the system of equations:

x - 3y + z = 3 (1)

8x + 21y + 7z = 51 (2)

3x - 2y + 2z = 18 (3)

We can start by eliminating the x-term from equations (2) and (3). By multiplying equation (1) by 8 and subtracting it from equation (2), we get:

(8x + 21y + 7z) - 8(x - 3y + z) = 51 - 8(3)

21y + 15z = 27 (4)

Next, we can eliminate the x-term from equations (1) and (3). By multiplying equation (1) by 3 and subtracting it from equation (3), we get:

(3x - 2y + 2z) - 3(x - 3y + z) = 18 - 3(3)

7y - z = 9 (5)

Now, we have a system of two equations with two variables (y and z), consisting of equations (4) and (5). By solving this system, we can determine whether there is a unique solution, infinitely many solutions, or no solution.

Solving equations (4) and (5) simultaneously, we find that y = -1 and z = 2. Substituting these values back into equation (1), we can solve for x:

x - 3(-1) + 2 = 3

x + 3 + 2 = 3

x + 5 = 3

x = -2

Therefore, the linear system is consistent, and it has a unique solution. The solution to the system is x = -2, y = -1, and z = 2.

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The choice that is equivalent to the fraction is A. \(\sqrt(x + 3) - \sqrt(x)\).

What is fraction ?
A fraction is a way to represent a part of a whole or a ratio between two quantities. A fraction consists of a numerator, which is the number above the fraction line, and a denominator, which is the number below the fraction line. The numerator represents the part or quantity being considered, and the denominator represents the whole or total quantity.

According to the question:
To rationalize the denominator, we can multiply both the numerator and denominator by the conjugate of the denominator, which is \((\sqrt{(x + 3)} - \sqrt{(x)})\)

\(=3/(\sqrt{x + 3} - \sqrt{x}) * (\sqrt{x + 3} + \sqrt{x})/(\sqrt{x + 3} + \sqrt{x)\)

Simplifying the denominator using the difference of squares formula, we get:

=3/((x + 3) - x)

Simplifying further, we get:

3/3

Which simplifies to 1.

Therefore, the choice that is equivalent to the fraction \(3/(\sqrt{x + 3} - \sqrt{x})\) is A. \(\sqrt{x + 3} - \sqrt{x}\).

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Once we have categorized an object, our memory of the object increasingly resembles the category is B) prototype. This means that when we categorize an object, our memory of it begins to resemble the prototype or typical example of that category. For example, if we categorize a bird as a robin, our memory of the bird will increasingly resemble the characteristics of a typical robin.

This happens because our brain uses prototypes as a shortcut to process information and make sense of the world around us. We use prototypes to quickly identify objects and make assumptions about their characteristics based on their category.

our memory of an object after categorization is influenced by the prototype of the category. This helps us to quickly process and make sense of information, but it can also lead to errors and biases in our thinking.


A prototype is a mental image or best example of a category. When we categorize an object, our memory of the object increasingly resembles the prototype because we tend to recall the most representative or typical example of the category.

Once we categorize an object, our memory of the object becomes more like the prototype, which is the best example of the category. This is because we tend to remember the most representative or typical examples of a category.

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The order of the scale from smallest to the largest is:

The smallest = 1 inch to 3 yards

The middle : 1 inch to 1.1 yards

The largest : 1 inch to 1 yard

A scale drawing is either a larger or smaller version of a diagram.  A scale factor provides information on the unit of conversion between the original image and the scale drawing.   A scale factor is the ratio of the length of the scale drawing to the length of the actual drawing.

The first step is to convert the given scale factors to the same units of measurement.

All of the measurements would be converted to yards

1 feet = 3 yards

1 inch to 3 yards

1.1 yards = 1 meter

1 inch to 1.1 yards

1 inch to 1 yard

The smallest = 1 inch to 3 yards

The next : 1 inch to 1.1 yards

The largest : 1 inch to 1 yard

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The statement second "f(x) is a one-to-one function" is correct because it passes the vertical and horizontal line tests.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a linear function:

f(x)  = 2x - 3

If we plot the graph of the f(x) we get a straight line

We can write function:

y = 2x - 3

To find the inverse of a function, interchange the x and y:

x = 2y - 3

To check whether the above equation is a function or not, we can check using the vertical line test, it passed the vertical test because the graph will a straight line.

The function is one-to-one.

Thus, the statement second "f(x) is a one-to-one function" is correct because it passes the vertical and horizontal line tests.

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Based on the given information, the test conducted at the particular site does not meet the organization's requirements for wind speed, as the calculated p-value of 0.260 is greater than the significance level of 0.01.

In order to determine whether a site meets the requirements for installing large wind machines to generate electric power, a rational organization conducted tests at a specific site under construction. The organization's requirement states that wind speeds must average more than 10 miles per hour (mph) for a site to be considered suitable. To evaluate whether the site meets this criterion, a hypothesis test was performed.

The null hypothesis (H0) in this case is that the true mean wind speed at the site is 10 mph, while the alternative hypothesis (H1) is that the true mean wind speed is greater than 10 mph. The significance level, denoted as α, is set at 0.01.

By conducting the test, the organization calculated a p-value of 0.260. The p-value represents the probability of obtaining the observed test results (or more extreme) under the assumption that the null hypothesis is true. In this case, the p-value of 0.260 is greater than the significance level of 0.01.

When the p-value is larger than the significance level, it indicates that the observed data is not sufficiently significant to reject the null hypothesis. Therefore, in this situation, the organization does not have enough evidence to conclude that the site meets their wind speed requirements.

In summary, the test results suggest that the wind speeds at the particular site under construction do not average more than 10 mph, as required by the organization. Further investigation or alternative site selection may be necessary to find a suitable location for the large wind machines.

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