A tennis ball is 4 centimeters in diameter. What is the surface area of this ball?

Answer:

Solving:

\( \frac{x}{5} = - 2 \\ \\ x = - 2 \times 5 \\ { \boxed{x = - 10}}\)

Checking:

\( \frac{x}{5} = - 2 \\ when \: x \: is \: - 10 \\ \\ \frac{ - 10}{5} = - 2 \\ \\ - 2 = - 2\)

# since all sides are the same, the answer is consistent.

\(.\)

The line will have an equation in the form y = mx + b, where m is the slope of the line and b is the y-intercept.

To find a line of best fit, you would typically use a technique called linear regression. Linear regression involves fitting a straight line to the data that minimizes the overall distance between the line and the data points.

This line represents the best linear approximation of the relationship between the variables. To perform linear regression, you would need a set of data points that represent the relationship between two variables.

You can then use statistical software or tools like Excel to calculate the line of best fit. The line will have an equation in the form y = mx + b, where m is the slope of the line and b is the y-intercept.

Once you have the equation of the line, you can use it to make predictions or estimate values based on the given data.

It is important to note that the line of best fit may not pass through all the data points but rather represents the overall trend or relationship between the variables. It is also crucial to consider the assumptions and limitations of linear regression when interpreting the results.

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Answer: well, just multiply x and y by the scale factor

Step-by-step explanation:A square with a perimeter of 20 units is graphed on a coordinate grid. The square is dilated by a scale factor

of 0.4 with the origin as the center of dilation.

If (x, y) represents the location of any point on the original square, which ordered pair represents the

coordinates of the corresponding point on the resulting square.

GIVE ME DA BRAINS

Engineers can be held most morally blameworthy for foreseeable harms resulting from technological innovations, engineers have a responsibility to anticipate the potential consequences of their work,

and to take steps to mitigate those consequences. If they fail to do so, and their work results in harm, they can be held morally blameworthy. When engineers develop new technologies, they have a responsibility to consider the potential consequences of their work.

They need to think about how their technology could be used, and whether it could be used to harm people or the environment.

They also need to consider how their technology could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their work results in harm, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

For example, engineers who develop new weapons systems have a responsibility to consider the potential consequences of their work. They need to think about how their weapons could be used,

and whether they could be used to kill or injure innocent people. They also need to consider how their weapons could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their weapons are used to kill or injure innocent people, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

It is important to note that engineers cannot be held morally blameworthy for unforeseeable harms. This is because they did not have the opportunity to anticipate the harm, and they could not have taken steps to prevent it.

For example, engineers who develop new medical treatments cannot be held morally blameworthy if the treatments have unforeseen side effects. This is because the engineers did not have the opportunity to anticipate the side effects, and they could not have taken steps to prevent them.

In conclusion, engineers can be held morally blameworthy for foreseeable harms resulting from technological innovations.

This is because they have a responsibility to anticipate the potential consequences of their work, and to take steps to mitigate those consequences.

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Answer:

The three sides 9 in, 12 in, and 15 do represent a right triangle.

Step-by-step explanation:

Hope it helps!

Inferential statistics is one of the three basic ways of explaining the results of a research investigation. Group of answer choices Comparing variable quantities Graphing relationships between variables Comparing group percentages Making precise statements about data by correlating the scores of individuals on two variables.

Making precise statements about data by correlating the scores of individuals on two variables is one of the three basic ways of explaining the results of a research investigation.

This is also known as inferential statistics, which involves making predictions or generalizations about a larger population based on sample data.

The other two basic ways of explaining research results are descriptive statistics, which involves summarizing and describing the characteristics of a sample, and graphical representation, which involves using visual aids to display data and relationships between variables.

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Answer:

x=-3

Step-by-step explanation:

The values of y with respect to the points created is constant, hence the two points will have the same y values but difference their respective x values

Based on the given conditions, formulate: 9÷(6+10+9)

Calculate the sum or difference: 9/16+9

Calculate the sum or difference:9/25

Multiply a number to both the numerator and the denominator:9 x 4/25 x 4

Calculate the product or quotient: 36/100

Rewrite a fraction with denominator equals 100 to a percentage is 36%

therefore  the percentage of the students preferred netball is 36%.

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Answer:

C.   6°C

Step-by-step explanation:

-3°C + 9°C = 6°C

The values of the variables, a, b, and c obtained from the equation of the circle and the coordinates of the point P are;

a) a = 2

b = -2

c = 4

The general equation of a circle is; (x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The coordinates of the radius of the circle

The specified equation of a circle is; x² + y² = 9

The coordinates of the center of the circle, is therefore, O = (0, 0)

a) The coordinates of the points P  and O indicates that the gradient of OP, obtained using the slope formula is; ((3·√3)/4 - 0)/(3/2 - 0) = ((3·√3)/4)/(3/2)

((3·√3)/4)/(3/2) = (√3)/2

The specified form of the gradient is; (√3)/a, therefore;

(√3)/a = (√3)/2

a = 2

The value of a is 2

b) The gradient of the tangent to a line that has a gradient of m is -1/m

The gradient of OP is; (√3)/2, therefore, the gradient of the tangent at P is -2/(√3)

The form of the gradient of the tangent at P is b/(√3), therefore;

-2/(√3) = b/(√3)

b = -2

The value of b is; -2

c) The coordinate of the point on the tangent, (0, (7·√3)/c) indicates

Slope of the tangent = -2/(√3)

((7·√3)/c - ((3·√3)/4))/(0 - (3/2)) = -2/(√3)

((7·√3)/c - ((3·√3)/4)) = (3/2) × 2/(√3) = √3

(7·√3)/c = √3 + ((3·√3)/4) = 7·√3/4

Therefore; c = 4

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To find the slope of the line passing through the points (-9, 10) and (8, 0), we will use the slope formula, which is as follows;`slope = (y2 - y1)/(x2 - x1)`

where x1 and y1 represent the coordinates of the first point, and x2 and y2 represent the coordinates of the second point.Substituting the values in the equation, we get;`slope = (0 - 10)/(8 - (-9))``slope = -10/17`Therefore, the slope of the line passing through the points (-9, 10) and (8, 0) is -10/17.

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Answer:

Dr. Hong prescribed the most medicine

Dr. Evans prescribed the less medicine

Step-by-step explanation:

Dr. Hong =0.019 liters more than Dr.Tannenbaum

Dr.Evans prescribed 0.02 Less than Dr.Hong.

Let

Dr.Tannenbaum=x liters

Dr. Hong =0.019 + x liters

Dr. Evans= 0.019 + x - 0.02 liters

= x - 0.001 liters

Therefore,

Dr. Hong prescribed the most medicine

Dr. Evans prescribed the less medicine

Explanation:

Note how 8 = 2^3 and 27 = 3^3

This means, 8/27 = (2^3)/(3^3) = (2/3)^3

For the last step, I used the rule (a^c)/(b^c) = (a/b)^c

The answer is (001). This is because B (001) has h and k as non-zero integers, which does not match the criteria for the {100} family.

The question is asking which of the planes (A), (B), (C), and (D) is not part of the {100} family for a tetragonal crystal.A tetragonal crystal is a three-dimensional structure made up of four faces that intersect at right angles, forming a unit cell. Each face of the unit cell is defined by a Miller index. A Miller index is a set of three integers written in the form {hkl}, which describes the orientation of the face relative to the crystal lattice. In a tetragonal crystal, the {100} family is the set of faces described by {hkl} such that h = k = 0 and l ≠ 0.

Therefore, A (010), C (110), and E (all of these planes are in the {100} family) are all part of the {100} family for a tetragonal crystal, while B (001) is not.  because B (001) has h and k as non-zero integers, which does not match the criteria for the {100} family. In conclusion, the correct answer to the question is B (001).

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y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1] is the orthogonal basis for w using Gram-Schmidt process.

Given,

The set;

x₁ = [1  -4  0  1]

x₂ = [7  -7  -6  1]

We have to produce the orthogonal basis for w using the Gram-Schmidt process;

Here,

y₁ = x₁ =  [1  -4  0  1]

Now,

Solve for y₂

y₂ = x₂ - [x₂y₁ / y₁y₁] y₁

That is,

y₂ = [7  -7  -6  1] - ( [7  -7  -6  1] [1  -4  0  1] / [1  -4  0  1] [1  -4  0  1] ) × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - (7 + 28 - 0 + 1) / (1 + 16 + 0 + 1) × [1  -4  0  1]

y₂ = [7  -7  -6  1]  - 36/18 × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - 2  × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - [2  8  0  2]

y₂ = [5  1  -6  -1]

That is,

The orthogonal basis for w using Gram-Schmidt process is,

y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1]

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the standard form (ax^2 + bx + c = 0) and intercept form (a(x-x1)(x-x2) = 0) are less helpful for directly determining the hang time

The vertex form of a quadratic equation is written as y = a(x-h)^2 + k, where (h, k) represents the vertex of the parabola. In the context of hang time, the vertex form allows us to directly read the value of "h," which corresponds to the time at which the ball reaches its highest point, or the peak of its trajectory. The value of "k" represents the height of the ball at its highest point. By identifying the vertex coordinates (h, k), we can determine the time (hang time) it takes for the ball to reach the ground.

In contrast, the standard form (ax^2 + bx + c = 0) and intercept form (a(x-x1)(x-x2) = 0) are less helpful for directly determining the hang time. While they can provide information about the roots or intercepts of the quadratic equation, they do not provide immediate insights into the time the ball spends in the air.

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Answer:

90

Step-by-step explanation:

Answer:

I like to do mehndi is known as

.

Answer: y => 12

y is greater than or equal to 12

Step-by-step explanation:

So they give you the function of y = 2x + 4 and the domain of all real numbers is greater than or equal to 4.

In simple term, the domain is x => 4, x is greater than or equal to 4.

Using that we can substitute the x in the function by 4.

y = 2(4) + 4

y = 8 + 4

Which gave us the answer of 12.

Since the domain can be anything greater than 4 or 4. We can expect the

same for the range.

Then the range will be 12 or greater than 12. For example, 13, 14, 15, 16...

Ex. y = 2(5) + 4

y = 10 + 4

y = 14

Ex. y = 2(4.5) + 4

y = 9 + 4

y = 13

The minimum number of terms required for the sum sn to have an error less than 0.0399, assuming K = 1 and b-a = 1.

To determine the minimum number of terms n required for the sum sn to have an error less than 0.0399, we need to use the formula for the error term of a finite series:

|En| ≤ ((M * (b-a)^n)/(n!))

where En is the error term, M is the maximum value of the (n+1)th derivative of the function, a and b are the limits of integration, and n is the number of terms in the series.

Since we do not have a specific function or limits of integration, we cannot determine the exact value of M. However, we can use an upper bound for M, which is the maximum value of the (n+1)th derivative of the function over the entire interval [a,b]. Let's assume that M = K, where K is some constant.

Then we have:

|En| ≤ ((K * (b-a)^n)/(n!))

We want the error to be less than 0.0399, so we can set up the following inequality:

((K * (b-a)^n)/(n!)) < 0.0399

To solve for n, we need to use a numerical method such as trial and error, or a graphing calculator. We can also use a table of values for n! and (b-a)^n to simplify the inequality.

For example, if we assume that K = 1 (which is a reasonable assumption for many functions), and let b-a = 1 (i.e. we are integrating over the interval [0,1]), we can create a table of values for n! and (b-a)^n:

n | n! | (b-a)^n
--|----|---------
1 | 1  | 1
2 | 2  | 1
3 | 6  | 1
4 | 24 | 1
5 | 120| 1
6 | 720| 1

Using these values, we can rewrite the inequality as:

(K/n!) < (0.0399/(b-a)^n)

Plugging in our values, we get:

1/n! < 0.0399

Solving for n using trial and error or a graphing calculator, we find that n = 4 is the minimum number of terms required for the sum sn to have an error less than 0.0399, assuming K = 1 and b-a = 1. However, keep in mind that this value may change depending on the specific function and limits of integration.

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Answer:

let the numbers be

X , y and z

X+ y + z = 20

first number is 4 times the sum of other 2

X = 4(y+ z)

second is 7 times third

y = 7z

now substituting back

X= 4 (7z + z)

X= 32z

32z + 7z + z = 20

40z = 20

z = 1/2

y = 1/2 * 7 = 7/2

X = 1/2 * 32 = 32/2

1/2 * 7/2 * 16 = 28

28 is the answer!

Answer:

umm okay

Step-by-step explanation:

Answer:

There is nothing

Step-by-step explanation:

If the leading coefficient is positive, bigger inputs only make the leading term more and more positive

How do you tell if a graph has a positive or negative coefficient?

If the leading coefficient is positive, bigger inputs only make the leading term more and more positive. The graph will rise to the right. If the leading coefficient is negative, bigger inputs only make the leading term more and more negative. The graph will descend to the right.

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Answer:

4

Step-by-step explanation:

To solve for x in the equation:

√(2x - 7) = 1

We can start by isolating the square root by squaring both sides of the equation:

(√(2x - 7))^2 = 1^2

2x - 7 = 1

Next, we can isolate the variable by adding 7 to both sides of the equation:

2x = 8

Finally, we can solve for x by dividing both sides by 2:

x = 4

Therefore, the solution to the equation √(2x - 7) = 1 is x = 4.

Answer:

7.6

Step-by-step explanation:

How to work out the mean : add the numbers and divide by how much you got.

So:

7+5+9+5+12= 38

38÷ 5=7.6

The equation that represents the relationship between the weight and number of oranges is \(w\)·\(g=24.5\)

What is an equation?

An equation is a formula which represents the equality between two expression.

We are given each orange weight the same.

Let the weight of one orange be \(w\).

Also we are given that there are \(g\) oranges in the crate

Also the weight of the crate is 24.5 pounds

Now the equation representing the relationship between weight and number can be given by

\(w\)·\(g=24.5\)

Hence the equation representing the relationship between weight and number can be given by \(w\)·\(g=24.5\)

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Answer:

18

Step-by-step explanation:

2(3)^2

2(9)

18

Answer:

The answer is 18.

Step-by-step explanation:

2a²

2(3)²

2(9)

18