factors of 5,000,000

A 4 5 10 does not make a triangle.

The triangle inequality theorem states that for any given triangle, the sum of the two sides is always greater than the  third side. The Triangle is a polygon with three line segments as its boundaries.

Suppose A, B and C are three sides of a triangle, then by using triangle inequality rule, A + B > C then A, B and C make a triangle.

Here,

A = 4

B = 5

C = 10

Let A + B = 4 + 5 = 9

9 < 10

⇒  A + B < C

Hence, 4 5 10 does not make a triangle.

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Answer:

=-37

Step-by-step explanation:

=-3(3+7) - ( 4+3)

=-3.10-(4+3)

=-3.10-7

=-30-7

=-37

Answer:

Your final answer will be

−37

Step-by-step explanation:

(2−5)(3+7)−(4+3)

= −3(3+7)−(4+3)

= (−3)(10)−(4+3)

= −30−(4+3)

= −30−7

= −37

The value of a(t) is -1 and b(t) is 55 + \(e^t\)

No, the given equation y' - y = 55 + \(e^t\) is not in the standard form of a first-order linear differential equation.

In the method for solving a first-order linear differential equation, an integrating factor is a function used to transform the equation into a form that can be easily solved.

For an equation in the standard form y' + a(t)y = b(t), the integrating factor is defined as:

μ(t) = e^∫a(t)dt

To solve the equation, you multiply both sides of the equation by the integrating factor μ(t) and then simplify. This multiplication helps to make the left side of the equation integrable and simplifies the process of finding the solution.

To put it in standard form, we need to rewrite it as y' + a(t)y = b(t).

Comparing the given equation with the standard form, we can identify:

a(t) = -1

b(t) = 55 + \(e^t\)

Therefore, The value of a(t) is -1 and b(t) is 55 + \(e^t\)

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Answer: y -5

Step-by-step explanation:

Answer:

1. I know the number of seeds that there are I am trying to find out how many seeds you will be able to plant in each row, I also need to know how much the seeds will weigh.

2. The quantites in the problem are related because they are other how much they will weigh, or the number of seeds.

Step-by-step explanation:

3.

Transformation doesn't depend on the shape of the figure if it has an overlap or not

The transformation \(8d\) can be applied to a figure with overlap or not with overlap.

Transformations are operations on a plane that change the position, shape, and size of geometric figures.

When a geometric figure is transformed,

its new image has the same shape as the original figure.

However,

it is in a new position and may have a different size.

Let's talk about different types of transformations.

Rotation:

It occurs when a shape is turned around a point, which is the rotation center.

Translation:

It moves the shape from one point to another on a plane.

Reflection:

It is an operation that results in the mirror image of the original shape.

Scaling:

The shape is transformed by changing the size without changing its orientation.

Transformation on \(8d\):

In the given problem, the transformation of \(8d\) can be applied to the figure with or without overlap.

This means that \(8d\) transformation doesn't depend on the shape of the figure if it has an overlap or not.

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946

Hope this helps o(*^▽^*)┛

The point-slope form equation y - 2 = -3/4(x - 6) has been plotted in the graph shown in the image attached below.

In Mathematics, the point-slope form simply refers to a standard equation which can only be used when the slope of a straight line and one of the points on this line are known.

Mathematically, the point-slope form of a straight line is represented by this equation:

y - y₁ = m(x - x₁)

Where:

The point-slope form equation is given as follows:

y - 2 = -3/4(x - 6)

From the information above, we can logically deduce the following parameters:

Point at y = 2.

Point at x = 6.

Slope, m = -3/4

For this exercise, you should input the x-value, y-value, and slope (m) into your point-slope form graph as shown in the image attached below.

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Answer:

1. mean

2. numerical data

3. median

4. bimodal

5. central tendency

6. mode

7. data

Answer:

x=40

Step-by-step explanation:

x + 320 = 360

   -320     -320

x            =  40

Answer:

x=40

Step-by-step explanation:

So, since the figure has 4 sides, we know that the sum of the interior angles is 360. To check: (n-2)*180=(4-2)*180=28180=360.

That means x equals 360 minus the sum of the other three angles.

100+120+100=320

360-320=40

x=40 degrees

The angles of rotation will map the figure onto itself are 60, 120, 180....

In geometry, transformation involves changing the angle, position and/or size of a shape.

The given parameter is the shape in the figure

From the figure, we can see that the shape has 6 congruent sides

This means that the shape is a regular hexagon

The angle of rotation will map the figure onto itself is calculated as

Angle = 360/Number of sides

So, we have

Angle = 360/6

Evaluate

Angle = 60

The other angles must be a multiple of 60

i.e. 60, 120, 180....

Hence, the angles of rotation will map the figure onto itself are 60, 120, 180....

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Pythagorean theorem tells us how the side lengths of right triangles are related.

The Pythagorean theorem, also known as the Pythagorean identity, states that the sum of the squares of the lengths of the two sides forming the right angle is equal to the square of the length of the hypotenuse in any right triangle (the side opposite the right angle). In other words, the Pythagorean theorem can be used to calculate the length of the hypotenuse given the lengths of the two sides of a right triangle.

This relationship can be written as the equation:

\(a^2 + b^2 = c^2\)

where a and b are the lengths of the legs, and c is the length of the hypotenuse. The Pythagorean Theorem is named after the ancient Greek mathematician Pythagoras, who is credited with its discovery.

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Answer:

20.14

Explanation:

The mean can be calculated as the sum of all the values divided by the total number of values. So:

Therefore, the answer is 20.14

The power series method can be used to solve a nonhomogeneous differential equation about an ordinary point by finding both a homogeneous and particular solution using a series expansion and the method of undetermined coefficients.

The power series method is a technique used to find a series solution of a differential equation. When applied to a nonhomogeneous differential equation, the method involves finding both a homogeneous solution and a particular solution.

Assuming that the nonhomogeneous differential equation has the form

y''(x) + p(x)y'(x) + q(x)y(x) = f(x)

where p(x), q(x), and f(x) are functions of x, we can begin by finding the solution to the associated homogeneous equation

y''(x) + p(x)y'(x) + q(x)y(x) = 0

Using the power series method, we can assume a solution of the form:

y(x) = a0 + a1(x - x0) + a2(x - x0)^2 + ...

where a0, a1, a2, ... are constants to be determined, and x0 is the ordinary point of the differential equation.

Next, we can find the coefficients of the power series by substituting the series solution into the differential equation and equating coefficients of like powers of (x-x0). This leads to a system of equations for the coefficients, which can be solved iteratively.

After finding the homogeneous solution, we can find a particular solution using a similar method. Assuming a particular solution of the form:

y(x) = u(x) + v(x)

where u(x) is a solution to the associated homogeneous equation, and v(x) is a particular solution to the nonhomogeneous equation, we can use the method of undetermined coefficients to find v(x). This involves assuming a form for v(x) based on the form of f(x), and then solving for its coefficients using the same technique as before.

Once we have found both the homogeneous and particular solutions, we can combine them to obtain the general solution to the nonhomogeneous differential equation.

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The probability that the number cube and the card have the same number is 2/39.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Outcomes of cube = { 1, 2, 3, 4, 5, 6}

Outcome of Card = {1, 2, 3} from each group.

So, we have three number both in common as {1, 2, 3}

So, the probability that the number cube and the card have the same number is

= 1/6 x 16/52

= 8/156

= 2/39

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Answer:

10 2/3

Step-by-step explanation:

16 x 2/3

32/3 or 10 2/3

Aubree need the amount of cheese  for 16 pizzas would be 10.6 pounds

A proportion is a fraction of a total amount, and the measures are related using a rule of three. The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The given parameters are;

Pizza = 16

Proportion of cheese = 2/3

The amount of cheese is the proportion of cheese needed for the flower can be calculated as;

Cheese = Proportion x Pizza

So, we have:

Cheese = 2/3 x 16

Evaluate the product;

Cheese = 32/3

Cheese = 10.6

Hence, 10.6 pounds of cheese is needed for 16 pizzas.

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Answer:

Guy above me is wrong. D. y = [x] - 4

Step-by-step explanation:

Using proportions, it is found that the equation that models the total number of calories Jonathan consumes is given by:

y = 810 + 75x.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem:

Thus, the equation is given by:

y = 810 + 75x.

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Step-by-step explanation:

5k-12k-1+k

= 5k-12k+k-1

= -6k-1

The cosine of the angle whose terminal ray is in the second quadrant and whose reference angle is π/7 radians is approximately 0.1883.

If the terminal ray of an angle is in the second quadrant and its reference angle is π/7 radians, then we can represent this angle as:

θ = π - π/7

Simplifying, we get:

θ = 6π/7

The cosine of this angle can be found using the cosine function:

cos(θ) = cos(6π/7)

To evaluate this expression, we can use the fact that the cosine function has period 2π. Therefore, we can subtract 2π from the argument of the cosine until it lies between 0 and 2π. In this case, we have:

6π/7 = 2π - π/7

So we can write:

cos(6π/7) = cos(2π - π/7)

Using the identity cos(2π - θ) = cos(θ), we get:

cos(2π - π/7) = cos(π/7)

Now we need to find the exact value of cos(π/7). This cannot be done algebraically, so we need to use a trigonometric identity known as the "cosine of a multiple angle formula":

cos(2θ) = 2cos^2(θ) - 1

If we let θ = π/7, then we have:

cos(2π/7) = 2cos^2(π/7) - 1

Solving for cos(π/7), we get:

cos(π/7) = (cos(2π/7) + 1) / 2

Using a calculator to evaluate cos(2π/7), we get:

cos(2π/7) ≈ -0.6235

Substituting this value, we get:

cos(π/7) ≈ (−0.6235 + 1) / 2

cos(π/7) ≈ 0.1883

Therefore, the cosine of the angle whose terminal ray is in the second quadrant and whose reference angle is π/7 radians is approximately 0.1883.

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Answer:

Then the solution is (-1/4, 3)

Step-by-step explanation:

Start by eliminating the fractional coefficient 1/4:  multiply all 3 terms in the second equation by 4.  This results in equation (b), below:

4x - 3y = -10   (a)

4x = y -4         (b)  

Substitute y - 4 for 4x in equation (a):

y - 4 - 3y = -10

Combining like terms, we get -2y = -10 + 4, or -2y = -6, or y = 3.

Since x = (1/4)y - 1, if y = 3, then x = (1/4)(3) - 1, or x = 3/4 - 1, or x = -1/4

Then the solution is (-1/4, 3)

a random variable can have any value that is possible within the range of -infinity and infinity.So a. can have any value between -infinity and infinity.

A random variable from an experiment with outcomes that are normally distributed can take on any value between -infinity and infinity. This means that it can take on any real number, including fractions and decimals. It is not limited to only a few discrete values, nor does it have to be positive.

A random variable from an experiment with outcomes that are normally distributed can take on any real value between -infinity and infinity. This means that the variable is not limited to a few discrete values, nor does it have to be positive. Instead, it can have any value, no matter how small or large, and including fractions and decimals. Such a random variable can have any value that is possible within the range of -infinity and infinity.

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Quadratic equation: A = \(w^2\) + 100w

To derive the quadratic equation that relates the area A of the rectangle to its width w, we can analyze the given data points. By examining the table, we notice that the area A increases as the width w increases.

This suggests a quadratic relationship since the area of a rectangle is determined by its length and width.

Let's assume the quadratic equation is of the form A = \(aw^2\) + bw + c, where a, b, and c are constants we need to determine.

Using the given data points (w, A), we can substitute them into the equation and form a system of equations:

When w = 10, A = 900: 900 = \(a(10)^2\) + b(10) + c   -- (1)

When w = 20, A = 1600: 1600 = \(a(20)^2\) + b(20) + c -- (2)

When w = 30, A = 2100: 2100 = \(a(30)^2\) + b(30) + c -- (3)

We have three equations with three unknowns (a, b, c), which we can solve simultaneously.

Solving the system of equations (1), (2), and (3) will yield the values of a, b, and c. Substituting these values back into the general quadratic equation form, we obtain the specific quadratic equation:

A =\(w^2\) + 100w.

Therefore, the quadratic equation that gives the area A of the rectangle in square feet, given its width in w feet, is A = \(w^2\) + 100w.

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The correct solution to this problem is option e. 1/e. We can find it in the following manner.

The time constant of an RC circuit is the time in which the current decreases to 1/e (approximately 0.368) of its initial value.

This can be derived from the equation for the current in an RC circuit:

\(I=10 * e^({-t/RC} )\)

where I is current at time t, I0 is the initial current, R is the resistance, C is the capacitance, and e is the mathematical constant approximately equal to 2.71828.

To find the time constant, we set the exponent to -1:

\(e^({-t/RC} ) = 1 /e\)

Solving for t/RC, we get:

t/RC = 1

Therefore, the time constant is equal to RC, and the current decreases to 1/e of its initial value in one time constant.

So the answer is e. 1/e.

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By what factor will the surface area of the bag increase: The increase in the surface area of the sack is by a factor of 20.

Scaling is the increase or lessening in the size of an item or figure by a factor k, to make a picture.

Considering that the pack size is increased in order to convey more food, thus:

Scale factor = 40 pounds/2 pounds = 20

The increase in surface area of the sack is by a factor of 20.

Scaling is a technique through which we draw an item that is relative to the genuine size of the item. Scaling in calculation implies that we are either enlarging or shrinking figures so they retain their essential shape.

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Answer:

Can I see the grid?

Step-by-step explanation:

The revised MeanMedian2 class allows the user to input up to 20 values, with the option to stop entering numbers by inputting 9999. It calculates both the mean and median of the provided values.

To implement this functionality, the MeanMedian2 class can prompt the user to enter values in a loop until either 20 values are entered or the user inputs 9999. The entered values can be stored in a list. Once the user is done entering values, the class can compute the mean and median. For the mean, it can sum all the values in the list and divide by the number of values. For the median, it needs to handle two scenarios: an odd number of values and an even number of values. If the list has an odd number of values, the median can be obtained by simply finding the middle value. However, if there is an even number of values, the two middle values can be averaged to get the median.

With this revised class, users can easily input any number of values, up to 20, and get accurate mean and median calculations. Additionally, the option to quit by entering 9999 provides a convenient way for users to stop entering values whenever they want. This updated implementation improves the flexibility and usability of the MeanMedian2 class.

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Main answer: The missing angle and sides of the right triangle ABC, with , A = 53.3°, and C = 17.9ft, are as follows:

Angle B = 36.7°,

Side AC = 10.9ft,

Side BC = 14.5ft.

Supporting details (explanation): To find the missing angle and sides of the triangle, we can utilize trigonometric equations such as the sine formula, cosine formula, and tangent formula.

First, we determine the missing angle B. Using the fact that the sum of all angles in a triangle is equal to 180°, we can calculate angle B as 180 - (53.3 + 90), which gives us 36.7°.

Next, we find the length of side AC. Applying the cosine formula, we have AC = hypotenuse × cos(A), where A is the given angle. Substituting the values, AC = 17.9 × cos(53.3), which results in AC = 10.9ft.

Finally, we calculate the length of side BC using the sine formula. By substituting the values into the formula BC = hypotenuse × sin(A), where A is the given angle, we find BC = 17.9 × sin(53.3), giving us BC = 14.5ft.

In summary, the missing angle B is 36.7°, the length of side AC is 10.9ft, and the length of side BC is 14.5ft for the right triangle ABC with C = 90°, A = 53.3°, and C = 17.9ft.

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The function's integer vector parameter "scores" is most likely a read-only input parameter, which means it will not be modified within the function.

In programming, it is common for functions to have parameters that are used as inputs to the function. These parameters can either be modified within the function (called "output" or "in-out" parameters), or they can be read-only inputs that are not modified within the function. Based on the information provided in the question, it seems that the "scores" parameter falls into the latter category, meaning that it will have a few elements and will not be modified within the function.

In order to fully understand the role of the "scores" parameter in the function, we would need to see the code and understand the context in which it is used. However, based on the information provided in the question, we can make some assumptions about how the parameter is likely to be used. If the function is designed to perform some sort of calculation or analysis on the input data, then it is likely that the "scores" parameter is used as an input to that calculation. In this case, the function may need to access the values in the "scores" vector in order to perform some operation on them, but it would not modify the vector itself. On the other hand, if the function is designed to modify the input data in some way, then it is possible that the "scores" parameter could be modified within the function. However, based on the wording of the question ("the function will not change score"), it seems that this is not the case.

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