........... i need help past due

The equation of the following line include the following: E. y = -2x .

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (8 - 0)/(-4 - 0)

Slope (m) = 8/-4

Slope (m) = -2.

At data point (-4, 8) and a slope of -2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 8 = -2(x + 4)  

y - 8 = -2x - 8

y = -2x

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The volume of ball is 32.49 cubic centimeter.

What is volume ?

 Every three-dimensional item takes up space in some way. The volume of this area is what is used to describe it. The area occupied within an object's three-dimensional bounds is referred to as its volume. The object's capacity is another name for it.

Here ,

The volume of a ball = 32490 cubic millimeters

To convert into cubic millimeter into cubic centimeter by dividing by 1000, Then,

=>  32490/1000

=> 32.49 cubic centimeter.

Hence the volume of ball in cubic centimeter is 32.49 .

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An example of a polynomial equation with one solution is x - 2 = 0.

This equation can be rewritten as x = 2.

The degree of the polynomial is 1, and it has only one distinct root, which is 2. Therefore, this equation has only one solution.

Another example can be x^2 -4 = 0, this equation can be rewritten as (x-2)(x+2) = 0.

The degree of the polynomial is 2, and it has two distinct root, which is 2 and -2. Therefore, this equation has more than one solution.

It's worth noting that the solutions of a polynomial equation can be real or complex numbers. In the above examples, the solutions are real numbers.

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Answer:

8 miles

Step-by-step explanation:

9.6-8=1.6

1.6 times 5 equals 8 miles

It should be noted that after 5 hours, the distance between the two runners will be 8 miles.

Distance = Speed × Time

For the first runner:

Distance covered by the first runner = Speed of the first runner × Time

= 8 mph × 5 hours

= 40 miles

For the second runner:

Distance covered by the second runner = Speed of the second runner × Time

= 9.6 mph × 5 hours

= 48 miles

Since both runners are running in the same direction, we subtract the distance covered by the first runner from the distance covered by the second runner to find the distance between them:

Distance between the runners after 5 hours = Distance covered by the second runner - Distance covered by the first runner

= 48 miles - 40 miles

= 8 miles

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Answer:

45 grapes

Step-by-step explanation:

23

Using the given information we found that the equation of the parabola is:

y = (-4/9)*(x - 3)^2 + 5

And its graph is below.

For a parabola with vertex (h, k), the equation is:

y = a*(x - h)^2 + k

Here the vertex is (3, 5), so the equation is:

y = a*(x - 3)^2 + 5

And the y-intercept is y = 1, this means that:

1 = a*(0 - 3)^2 + 5

1 = a*9 + 5

1 - 5 = a*9

-4/9 = a

So the parabola is:

y = (-4/9)*(x - 3)^2 + 5

And its graph is below.

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Answer:

2 : 3

Step-by-step explanation:

area of A = 6 × 3 = 18 units²

area of B = 9 × 3 = 27 units²

then ratio of areas

A : B = 18 : 27 = 2 : 3

The tangent of y(x) at x = 1 is y'(1) = 4 + C₁, and the value of f(1) is 5, we can solve for C₁ to get C₁ = 1. Therefore, the function y(x) = x⁴ / 4 + x + C₂, where C₂ is another constant.

The given equation is  f (x) = 5, and it is the tangent of the function y = x³ / 3 at x = 1.To get y = x (x² / 2 + C), we integrate the second derivative of y with respect to x.∫(d²y/dx²)dx = ∫(12x²)dx => y = 4x³ + C₁ Solve for C₁ by applying the point-slope equation at the point x = 1:f(1)

= 5

= y(1)

= 4(1)³ + C₁

=> C₁ = 1Therefore, the equation of y is: y = 4x³ + 1.For a more in-depth and better explanation, here are 150 words: A second derivative represents the rate of change of the first derivative with respect to x.

Therefore, if we have a second derivative of y with respect to x, we can integrate it twice to get a function of y with respect to x. Given y''(x) = 12x², we can integrate it once to obtain y'(x) = 4x³ + C₁, where C₁ is a constant. We integrate y'(x) once again to get y(x) = x⁴ / 4 + C₁x + C₂, where C₂ is another constant. Now, to find C₁ and C₂, we need to use the fact that the function f(x) = 5 is tangent to y(x) at x = 1.

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The tangent of y(x) at x = 1 is y'(1) = 4 + C₁, and the value of f(1) is 5, we can solve for C₁ to get C₁ = 1. Therefore, the function y(x) = x⁴ / 4 + x + C₂, where C₂ is another constant.

The given equation is  f (x) = 5, and it is the tangent of the function

y = x³ / 3 at x = 1.

To get y = x (x² / 2 + C),

we integrate the second derivative of y with respect to x.

∫(d²y/dx²)dx = ∫(12x²)dx

=> y = 4x³ + C₁

Solve for C₁ by applying the point-slope equation at the point

x = 1:f(1)

= 5

= y(1)

= 4(1)³ + C₁

=> C₁ = 1Therefore, the equation of y is: y = 4x³ + 1

.For a more in-depth and better explanation, here are 150 words: A second derivative represents the rate of change of the first derivative with respect to x.

Therefore, if we have a second derivative of y with respect to x, we can integrate it twice to get a function of y with respect to x.

Given y''(x) = 12x²,

we can integrate it once to obtain

y'(x) = 4x³ + C₁, where C₁ is a constant.

We integrate y'(x) once again to get

y(x) = x⁴ / 4 + C₁x + C₂, where C₂ is another constant.

Now, to find C₁ and C₂, we need to use the fact that the function

f(x) = 5 is tangent to y(x) at x = 1.

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The value of limit \(\lim_{x \to \infty}\) (x² - x³) e²ˣ is  -∞, so negative infinity means that the function decreases without bound as x gets larger and larger. This is because the exponential term grows much faster than the polynomial term.

To evaluate the limit

\(\lim_{x \to \infty}\) (x² - x³) e²ˣ

We can use L'Hopital's rule. Applying the rule once, we get

\(\lim_{x \to \infty}\) [(2x - 3x²) e²ˣ + (x² - x³) 2e²ˣ ]

Using L'Hopital's rule again, we get

\(\lim_{x \to \infty}\) [(4 - 12x) e²ˣ + (4x - 6x²) e²ˣ + (2x - 3x²) 2e²ˣ]

Simplifying, we get

\(\lim_{x \to \infty}\) (-10x² + 8x) e²ˣ

Since the exponential term grows faster than the polynomial term, we can conclude that the limit is equal to

\(\lim_{x \to \infty}\) (-∞) = -∞

Therefore, the limit of (x² - x³) e²ˣ as x approaches infinity is negative infinity.

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Answer:

x is greater than zero c is correct

Answer:

\(8 .3 \times 2.10.5\)

Step-by-step explanation:

Simplify 6 - 1 to 5.

\(8.3 \times 2.10 .5\)

Therefor, the answer is 8.3 × 2.10.5

The radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

To find the radius of the silo, we need to determine the radius of the cylindrical section.

The volume of the cylindrical section can be calculated using the formula:

\(V_{cylinder} = \pi * r^2 * h\)

where \(V_{cylinder}\) is the volume of the cylindrical section, r is the radius of the cylindrical section, and h is the height of the cylindrical section.

Given that the cylindrical section is 30 ft tall, we can rewrite the formula as:

\(V_{cylinder} = \pi * r^2 * 30\)

To find the radius, we can rearrange the formula:

\(r^2 = V_{cylinder} / (\pi * 30)\)

Now, we can substitute the total volume of the silo, which is 10,000 cubic feet, and solve for the radius:

\(r^2 = 10,000 / (\pi * 30)\)

Simplifying further:

\(r^2 = 106.103\)

Taking the square root of both sides, we find:

\(r = \sqrt{106.103} = 10.3\)

Therefore, the radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

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The domain  -∞ ≤ x ≤ +∞ and range is -3≤ x ≤ 1.

All input values shown on the x-axis make up a graph's domain. The y-axis on a graph represents the possible output values, or range.

The domain would be determined by the set of all x-coordinates at all curve points, and the range would be determined by the set of all y-coordinates at all curve points. Both a set and an interval can be used to express each domain and range.

According to the domain is

from -∞ on left side and reaches to +∞ on the right side

So, domain is -∞ ≤ x ≤ +∞

Now, the range of the graph is -3 to 1

So, -3≤ x ≤ 1

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Circles are a special type of shape that possess a high degree of symmetry. This means that they exhibit a number of properties that are evenly distributed around their circumference.

Number of lines of symmetry: A line of symmetry is a straight line that divides a shape into two identical halves. In the case of a circle, any straight line that passes through the center of the circle will create two identical halves. Therefore, a circle has an infinite number of lines of symmetry, since any line passing through the center will divide the circle into two identical parts.

Order of rotational symmetry: A shape has rotational symmetry if it can be rotated by an angle and still appear the same. The order of rotational symmetry is the number of times a shape can be rotated by less than a full turn and still look the same. For a circle, any rotation less than a full turn will result in the same appearance, so a circle has an infinite order of rotational symmetry.

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Given:

The angle is 1591 degrees.

To find the coterminal angle:

First, we need to write the given angle in terms of 360 degrees.

We can write,

So, the coterminal angle of 1591 degrees is 151 degrees.

The Angle 257° will lie in the Quadrant III .

We have been asked to find .

• In which quadrant does the terminal side of the angle 257° lie ?

In the second quadrant angle is from 90 to 180°.

In the third quadrant angle is from 180 to 270° .

In the fourth quadrant angle is from 270 to 360° .

Given that the area is 21 * |Im(zw conjugate)|, we can conclude that the area of the triangle formed by the complex numbers 0, z, and w is indeed 21 * |Im(zw conjugate)|. To find the area of the triangle formed by the complex numbers 0, z, and w, we can use the Shoelace Formula.

The Shoelace Formula states that the area of a triangle with vertices (x1, y1), (x2, y2), and (x3, y3) is equal to: Area =In this case, we have the complex numbers 0, z, and w. We can represent z and w as\(z = x1 + y1i and w = x2 + y2i,\)where x1, y1, x2, and y2 are real numbers. Since the complex number 0 has no imaginary part, we can represent it as 0 + 0i.

Now, let's plug these values into the Shoelace Formula: \(Area = 1/2 * |(0)(y1 - y2) + (x1)(y2 - 0) + (x2)(0 - y1)|\)Simplifying this expression gives: Area =\(1/2 * |x1(y2 - 0) + x2(0 - y1)|\)
Area\(= 1/2 * |x1y2 + x2(-y1)| Area = 1/2 * |x1y2 - x2y1|\).

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The area of the triangle formed by the complex numbers 0, z, and w is given by 21 * absolute value of the imaginary part of (zw-conjugate).

Let's consider the complex numbers 0, z, and w. The triangle formed by these complex numbers has its vertices at the origin (0), z, and w. To find the area of this triangle, we need to calculate the absolute value of the imaginary part of the product of zw-conjugate and then multiply it by 21. The complex number zw-conjugate represents the difference between the complex numbers zw and its conjugate. The conjugate of a complex number is obtained by changing the sign of its imaginary part. By multiplying zw-conjugate, we obtain a complex number with a real part and an imaginary part. The imaginary part of this complex number represents the signed area of the parallelogram formed by zw and its conjugate. Since we want the area of a triangle, we take the absolute value of the imaginary part. Finally, we multiply the absolute value of the imaginary part of (zw-conjugate) by 21 to get the area of the triangle. The area of the triangle formed by the complex numbers 0, z, and w is equal to 21 times the absolute value of the imaginary part of (zw-conjugate).

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Answer:

fuimaa

Step-by-step explanation:

Answer:

-0.375

Step-by-step explanation:

you just divide the numbers.

When conducting a bivariate correlational study, it is important to use a random sample to ensure that the results are generalizable to the larger population.

However, if a random sample is not used, it does not necessarily mean that the association should be automatically rejected. There are several reasons why a random sample may not have been used in a correlational study. For example, the researcher may have had limited access to a specific population or may have chosen to use a convenience sample for practical reasons. In these cases, it is important to consider the potential limitations and biases in the sample. Additionally, it is possible to adjust for some of these limitations through statistical techniques such as weighting or stratification. These techniques can help to ensure that the results are more representative of the larger population, even if a random sample was not used. Overall, while a random sample is preferred in bivariate correlational studies, it is not always feasible or practical. As such, it is important to carefully consider the limitations of the sample and to use appropriate statistical techniques to account for any potential biases. Ultimately, the validity of the association should be evaluated based on the strength of the evidence and the quality of the study design, rather than solely on the use of a random sample.

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Using the properties of similar triangles and ratio and proportion we get the vale of x as 2.8 units.

In the given figure the triangle ΔKFG and ΔFJH

KG is parallel to JH

Hence ΔKFG is similar to ΔFJH

Now using the property of similarity and proportion we can say that:

FG/FH = KF/JF

putting the values in the above proportion we get:

7 /(7+x) = 5/ 7

or, 49 = 35 +5 x

or, 14 = 5x

or, x =14/5

or, x = 2.8

The majority of ratio and percentage explanations involve using fractions.

A proportion states that two variables are equal, whereas a ratio is a fraction that is written as a:b. The two ratios given are equal to one another, as demonstrated by the proportional equation.

Hence the value of x is 2.8 units.

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Therefore, all 120 students passed at least one subject from the the Venn diagram.

Let's start by drawing a Venn diagram.

    D

 o-----o

/ \   / \

/   \ /   \

o-----o-----o

  F   20

Where D represents the set of students who passed Dagare, F represents the set of students who passed Fante, and the overlap between D and F represents the set of students who passed both.

To find the number of students who passed only one subject, we need to subtract the number of students who passed both subjects from the total number of students who passed each subject individually.

Number of students who passed only Dagare: 60% - 20% = 40%

Number of students who passed only Fante: 80% - 20% = 60%

So the number of students who passed only one subject is:

0.4 x 120 + 0.6 x 120 = 48 + 72 = 120

Therefore, all 120 students passed at least one subject.

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the option c) has the greatest density of approximately 4.545 g/cm³.

To determine the liquid with the greatest density, we can calculate the density for each option using the formula:

Density = Mass / Volume

a) Density = 2.3 g / 1.3 cm³ ≈ 1.769 g/cm³

b) Density = 10 g / 3.5 cm³ ≈ 2.857 g/cm³

c) Density = 0.10 g / 0.022 cm³ ≈ 4.545 g/cm³

d) Density = 0.64 g / 5.4 cm³ ≈ 0.118 g/cm³

e) Density = 0.12 g / 0.21 cm³ ≈ 0.571 g/cm³

Comparing the calculated densities, we find that option c) has the greatest density of approximately 4.545 g/cm³. Therefore, option c) is the liquid with the highest density among the given options.

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Complete question is below

Which of the following liquids has the greatest density?

a) 1.3 cm³ with a mass of 2.3 g

b) 3.5 cm³ with a mass of 10 g

c) 0.022 cm³ with a mass of 0.10 g

d) 5.4 cm³ with a mass of 0.64 g

e) 0.21 cm³ with a mass of 0.12 g

To get the derivative r'(t) of the vector function r(t) = e^t 9i - j + ln(1 + 6t) k, we need to take the derivative of each component with respect to t and Therefore, the derivative of the vector function r(t) is:  r'(t) = e^t 9i + (6/(1 + 6t)) k + ln(1 + 6t) k'

So, r'(t) = (e^t 9i - j + ln(1 + 6t) k)' = (e^t 9i)' - j' + (ln(1 + 6t) k)'
Using the chain rule, we get:  (e^t)' 9i + e^t 9i' - j' + (ln(1 + 6t))' k + ln(1 + 6t) k'
Since the derivative of e^t is e^t and the derivative of ln(1 + 6t) is 6/(1 + 6t), we can simplify further: e^t 9i + 0j + (6/(1 + 6t)) k + ln(1 + 6t) k'
Therefore, the derivative of the vector function r(t) is: r'(t) = e^t 9i + (6/(1 + 6t)) k + ln(1 + 6t) k'

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The square root of the decimal number is √0.0016 = 0.04

Here we can find the square root of the decimal number:

N = 0.0016

Notice that we can write this number as:

0.0016 = 16*10⁻⁴

Now we can take the square root of that, so we will get:

√(16*10⁻⁴)

We can distribute the square root to get:

√16*√10⁻⁴

These two are easy, we will get:

√16*√10⁻⁴ = 4*10⁻² = 0.04

That is the square root.

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Answer:

(0,1) is not the solution to the equation

Step-by-step explanation:

Given:

−3x − 8y = −8 (1)

y = 2 − x ​ (2)

Substitute (2) into (1)

−3x − 8y = −8 (1)

- 3x - 8(2 - x) = -8

- 3x - 16 + 8x = -8

- 3x + 8x = -8 + 16

5x = 8

x = 8/5

Substitute x = 8/5 into (2)

y = 2 − x ​ (2)

= 2 - 8/5

= (10-8) / 5

= 2/5

y = 2/5

Solution to the equation:

(x, y) = (8/5, 2/5)

Therefore,

(0,1) is not the solution to the equation

Answer:

Step-by-step explanation:

An arrow has one line of symmetry going through it vertically

A dodecagon has six lines of symmetry going through its points.

Answer: The arrow has 1 line and the dodecagon has 4 lines of symmetry.

Step-by-step explanation:

I just did it.