Question Collapse ^ Given slope (gradient) of a line is 3 and two points that lie on that line are N(-2,3) and D(3, d). Find the value of d.​

In order to find the interest generated, we can use the formula:

Where I is the interest, P is the principal, i is the interest rate and t is the time.

So, using P = 6000, i = 0.04 = t = 4, we have:

So the interest generated in 4 years is $960.

Now, for t = 10, we have:

So the interest generated in 10 years is $2400.

The domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.

To find the domain of a rational expression, we need to identify any values of x that would result in division by zero. Division by zero is undefined in mathematics
In this case, we need to set the denominator, 4x+20, equal to zero and solve for x:
4x + 20 = 0
Subtract 20 from both sides:
4x = -20
Divide both sides by 4:
x = -5
Therefore, the value x = -5 makes the denominator zero.
Now, we need to consider the values of x for which the denominator is not zero. Since the denominator is a linear expression (a polynomial of degree 1), it is defined for all real numbers except x = -5.
So, the domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.

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Answer:

3/5

Step-by-step explanation:

Scale factor = 9/15 = 3/5

Point d is at (5, -5), which is five units to the right of the origin on the x-axis and five units below the origin on the y-axis. Similarly, point e is at (7, 3), point f is at (-1, 5), and point G is at (-3, -3).

The given points, d (5, -5), e (7, 3), f (-1, 5), and G (-3, -3) form quadrilateral DEFG. To plot these points, we can first draw the x and y axes on a graph paper.

Then, we can plot each point by locating its x-coordinate on the x-axis and its y-coordinate on the y-axis.

After plotting the points, we can click on the "Graph Quadrilateral" button to see the quadrilateral DEFG. It should be a closed shape with four sides, connecting the four points in the given order.

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Answer:

4/9, 11/13, 6/5

Step-by-step explanation:

The value of 'n' is 18 in the given equation 8n - 5 = 139.

We have to find the value of 'n'.

To do so, we need to solve the given equation.

Let us see how we can solve the given equation.8n - 5 = 139

We need to find the value of 'n'.

Let us bring the constant term to the right side by adding 5 to both the sides of the equation.8n - 5 + 5 = 139 + 5On simplifying, we get8n = 144Now, we need to isolate 'n' to find its value.

To do so, we divide both the sides by 8.8n/8 = 144/8On simplifying, we get n = 18

Therefore, the value of 'n' is 18.

Hence, the value of 'n' is 18 in the given equation 8n - 5 = 139.

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Answer:

meter - yard

kilogram - 2 pounds

liter - quart

Answer: To find the image of a figure under a translation, you need to apply the same translation to every point in the figure.

In this case, the image of hexagon DEFGHI is hexagon D′E′F′G′H′I′. To find the image of each point, you can apply the translation that maps point D to point D′.

For example, to find the image of point E under the translation, you can apply the same translation that maps point D to point D′:

Point D is located at (2, 5).

Point D′ is located at (-6, -2).

The translation that maps point D to point D′ is a translation 6 units to the left and 2 units down.

To find the image of point E under this translation, you can apply the same translation to point E:

Point E is located at (5, 5).

The image of point E is located at (5 - 6, 5 - 2) = (-1, 3).

You can follow the same process to find the images of the other points under the translation.

Alternatively, you can use the coordinates of point D and point D′ to find the translation vector that describes the translation. The translation vector is a displacement that describes the change in position of a point under the translation.

In this case, the translation vector is given by the displacement from point D to point D′:

Point D is located at (2, 5).

Point D′ is located at (-6, -2).

The translation vector is given by the displacement (-6 - 2, -2 - 5) = (-8, -7).

To find the image of any point under the translation, you can add the translation vector to the coordinates of the point. For example, to find the image of point E under the translation, you can add the translation vector to the coordinates of point E:

Point E is located at (5, 5).

The translation vector is (-8, -7).

The image of point E is located at (5 - 8, 5 - 7) = (-3, -2).

You can follow the same process to find the images of the other points under the translation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Saying "put an equation into slope-intercept form" is another way of saying, "solve this equation for y". Not 6y or -3y...just plain old ordinary positive y. In order to begin that process, we need to first isolate the term that has the y in it. We do that by subtracting 6x from both sides to get

-3y = -6x + 18

Now, again, we are not solving for -3y, just y. We do that by dividing both sides by -3 to get

\(y=\frac{-6x}{-3}+\frac{18}{-3}\)

Simplifying that gives us

y = 2x - 6

Hello!

y = 88° (opposite are equal)

z = 180° - 128° = 52° (straight angle = 180°)

x = 180° - 140° = 40° (straight angle = 180°)

Answer:

x=40°

y=88°

z=52°

Step-by-step explanation:

Solution Given:

x+140°=180°

Since the sum of the angle of a linear pair or straight line is 180°.

solving for x.

x=180°-140°

x=40°

\(\hrulefill\)

y°=88°

Since the vertically opposite angle is equal.

therefore, y=88°

\(\hrulefill\)

z+128°=180°

Since the sum of the angle of a linear pair or straight line is 180°.

solving for z.

z=180°-128°

z=52°

The total cupcakes the bakery sell that day is 80

From the question, we have the following parameters that can be used in our computation:

Number of sales = 76

Proportion = 95%

This implies that

Number of sales = Proportion * Total number of cupcakes

Substitute the known values in the above equation, so, we have the following representation

76 = 95% * Total number of cupcakes

Divide both sides by 95%

Total number of cupcakes = 80

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Answer:

2.5

Step-by-step explanation:

We Know

You buy 4 5/8 blue fabric and 2 1/8 green fabric .

4 5/8 = 37/8 = 4.625 blue fabric

2 1/8 = 17/8 = 2.125 green fabric

How much blue than green did you buy?

We Take

4.625 - 2.125 = 2.5

So, you buy 2.5 blue more than green.

Answer:

D.  x = 6

Step-by-step explanation:

Given equation:

\((x-2)^{\frac{1}{2}}+4=x\)

Subtract 4 from both sides:

\(\implies (x-2)^{\frac{1}{2}}+4-4=x-4\)

\(\implies (x-2)^{\frac{1}{2}}=x-4\)

Square both sides:

\(\implies \left( (x-2)^{\frac{1}{2}}\right)^2=(x-4)^2\)

\(\implies x-2=(x-4)^2\)

Expand the brackets on the right side:

\(\implies x-2=(x-4)(x-4)\)

\(\implies x-2=x^2-8x+16\)

Subtract x from both sides:

\(\implies x-2-x=x^2-8x+16-x\)

\(\implies -2=x^2-9x+16\)

Add 2 to both sides:

\(\implies -2+2=x^2-9x+16+2\)

\(\implies 0=x^2-9x+18\)

\(\implies x^2-9x+18=0\)

Factor the left side of the equation:

\(\implies x^2-6x-3x+18=0\)

\(\implies x(x-6)-3(x-6)=0\)

\(\implies (x-3)(x-6)=0\)

Apply the zero-product property:

\(\implies x-3=0 \implies x=3\)

\(\implies x-6=0\implies x=6\)

Therefore, the solutions of the quadratic equation are:

\(x=3, \quad x=6\)

Input both solutions into the original equation to check their validity:

\(\begin{aligned}x=3 \implies (3-2)^{\frac{1}{2}}+4&=3\\(1)^{\frac{1}{2}}+4&=3\\1+4&=3\\5&=3\end{aligned}\)

\(\begin{aligned}x=6 \implies (6-2)^{\frac{1}{2}}+4&=6\\(4)^{\frac{1}{2}}+4&=6\\2+4&=6\\6&=6\end{aligned}\)

Therefore, the only valid solution to the given equation is x = 6.

Answer:

The answer is D. 6

Step-by-step explanation:

Add both sides:

(x - 2)^1/2 + 4 + (-4) = x + (-4)

(x - 2)^1/2 = -4

Solve exponent:

(x - 2)^1/2 = x - 4

((x - 2)^1/2)^2 = (x - 4)^2

x − 2 = x^2 − 8x + 16

x − 2 − (x^2 − 8x + 16) = x^2 − 8x + 16 − (x^2 − 8x + 16)

−x^2 + 9x − 18 = 0

(−x + 3)(x − 6) = 0

−x + 3 = 0 or x − 6 = 0

x = 3 or x = 6

Check the answers: (Plug them in to see what will work.)

x = 3 (won't work)

x = 6 (does work)

Therefore,

x = 6

Answer:

1 L of petrol is used to travel 9 km.

Step-by-step explanation:

You can find the answers through the ratio method

20 L : 180 km

1 L : x

( x is the number we must find )

20 x = 180

x =

x = 9 km

Answer:

7 and 9 are alternate interior angles

Step-by-step explanation:

4 and 11 are corresponding angles

1 and 7 are vertical angles

Answer:

(−∞,∞)

Step-by-step explanation:

Since |x−5| is always positive and −2 is negative, |x−5| is always greater than −2, so the inequality is always true.

All real numbers

So, the answer is (−∞,∞)

Answer:

79°

Step-by-step explanation:

It is identical to the bottom corner

a. The missing values of the logarithm expression is log₃(40).

b. The missing values of the logarithm expression is log₅(8).

c. The missing values of the logarithm expression is  log₂(1/25).

The missing values of the logarithm expression is calculated as follows;

(a). log₃5 + log₃8, the expression is simplified as follows;

log₃5 + log₃8 = log₃(5 x 8) = log₃(40)

(b). The log expression is simplified as;

log₅3 - log₅X = log₅3/8

log₅X = log₅8

X = 8

(c).  The log expression is simplified as;

-2log₂5 = log₂Y

log₂5⁻² = log₂Y

5⁻² = Y

1/25 = Y

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1) According to Denis' article "The Definition of Neotraditionism," his encounter with a painting by Maurice Denis himself.

2) In his book "Concerning the Spiritual in Art," Kandinsky expressed his belief that art should go beyond mere representation of the physical world and instead aim to express the spiritual and emotional aspects of human experience.

3) In Part II, About Painting, VI: The Language of Form and Color of "Concerning the Spiritual in Art," Kandinsky wrote: "Color is a power which directly influences the soul.

Denis was influenced to write the first non-objective statement because of the limitations of representational art.

1) According to Denis' article "The Definition of Neotraditionism," his encounter with a painting by Maurice Denis himself, which featured a landscape that was "no longer a transcription of nature, but a creation" (Denis, 1914), influenced him to write the first non-objective statement.

This painting by Denis challenged the traditional notions of art as mere representation of nature, and instead presented a new idea of art as a creative act in its own right.

2) In his book "Concerning the Spiritual in Art," Kandinsky expressed his belief that art should go beyond mere representation of the physical world and instead aim to express the spiritual and emotional aspects of human experience. He wrote that "the artist must be blind to distinction between 'recognized' or 'unrecognized' conventions of form, deaf to the transitory teaching and demands of his particular age.

He must watch only the trend of the inner need, and hearken to its words alone" (Kandinsky, 1977, p. 8). This suggests that Kandinsky was motivated by a desire to break away from the conventional artistic norms of his time and create something that was more true to his own personal vision and inner creative impulses.

3) In Part II, About Painting, VI: The Language of Form and Color of "Concerning the Spiritual in Art," Kandinsky wrote: "Color is a power which directly influences the soul. Color is the keyboard, the eyes are the hammers, the soul is the piano with many strings. The artist is the hand that plays, touching one key or another purposively, to cause vibrations in the soul" (Kandinsky, 1977, p. 72).

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Answer:

Step-by-step explanation:

1 reflection across the y axis

followed by

2 translation two units left

(-4, 6) reflect to (4, 6) translate (2, 6)

(-2, 2) reflect to (2, 2) translate (0, 2)

(-6, 2) reflect to (6, 2) translate (4, 2)

could also be done in one step by reflecting across x = -1

The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

Net operating profit = (22 million - 19 million)*(1 - 0.36)

                                = $1.92  million

EVA = net operating profit after taxes - invested capital*WACC

       = 1.92 million - 15 million*0.10

       = $0.42 million

Therefore, The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million.

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Answer:

853.15766421

Step-by-step explanation:

The square root of 727878 would be 853.15766421.

Answer:

= 853.157664

Step-by-step explanation:

√727878 = 853.157664

...

..

.

Answer:

\(H_0:\mu = 45\) and \(H_a:\mu < 45\)

\(T = 34.88\)

The null hypothesis is not rejected

Step-by-step explanation:

Given

Random sample of 50 commuter times

Solving (a): The null and alternate hypothesis

From the question, a previous census shows that:

\(\mu =45\) and \(\sigma= 9.1\)

This is the null hypothesis i.e.

\(H_0:\mu = 45\)

Reading further, a new test was to show whether the average has decreased.

This is the alternate hypothesis, and it is represented as:

\(H_a:\mu < 45\)

Solving (b) and (c): The test statistic (T).

This is calculated using:

\(T = \frac{\mu}{\sigma/\sqrt n}\)

In this case:

\(n = 50\)   \(\mu =45\) and \(\sigma= 9.1\)

So:

\(T = \frac{45}{9.1/\sqrt{50}}\)

\(T = \frac{45}{9.1/7.07}\)

\(T = \frac{45}{1.29}\)

\(T = 34.88\)

Solving (c): Accept or reject null hypothesis

\(\alpha = 0.05\)

First calculate the degrees of freedom (df)

\(df = n - 1 = 50 - 1\)

\(d f = 49\)

From the t distribution table,

At: \(d f = 49\),  \(\alpha = 0.05\) and \(T = 34.88\)

the t score is:

\(p = 1.676\)

\(p > 0.05\)

So, the null hypothesis is not rejected

Answer:

B. 2 and 4 es la respuesta correcta

Answer:

I think by using a prime factor tree

The equations that represent a linear functions are:

From the question, we have the following parameters that can be used in our computation:

The list of options

As a general rule

Linear functions are functions with a degree of 1

Using the above as a guide, we have the following equations with a degree of 1:

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The correct answer is sixteen (16).

shifted left 3 units

Graphed Below: