In January 2019, the Dow Jones Industrial Average (DJIA) was
23,138.82. By September 2019, the DJIA was 26,970.71. Construct an
index value for September 2019, using January 2019 as the base (=
100) a

Answer:

C

Step-by-step explanation:

Answer:

13 - 2x

Step-by-step explanation:

(x +2)² + (x - 3)² - 2x²

Expand.

(x + 2)(x + 2) + (x - 3)(x - 3) - 2x²

x² + 2x + 2x + 4 + x² - 3x - 3x + 9 - 2x²

Bring all the like terms together then simply.

x² + x² - 2x² + 2x + 2x - 3x - 3x + 4 + 9

2x² - 2x² + 4x - 6x + 13

= 13 - 2x (or -2x + 13 )

Answer:

Step-by-step explanation:

The correct answer is (d) Coterminal angles can be found by adding any positive or negative multiple of 360°. There are an infinite number of multiples.

Coterminal angles are angles that have the same initial and terminal sides. They can be obtained by adding or subtracting any positive or negative multiple of 360° to the given angle. Since 360° represents one full revolution around a circle, adding or subtracting multiples of 360° will bring us back to the same position, resulting in angles that are coterminal.

For example, let's consider an angle of 45°. By adding 360° to it, we get 405°, which is coterminal to 45°. Similarly, subtracting 360° from 45° gives us -315°, which is also coterminal. We can continue this process indefinitely, adding or subtracting multiples of 360° to find an infinite number of coterminal angles.

Therefore, the fact that there are an infinite number of multiples of 360° allows us to find an infinite number of angles that are coterminal to a certain angle. This is the reason why option (d) is the correct explanation for why there are an infinite number of coterminal angles.

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Answer:

A

Step-by-step explanation:

it goes to 4.5 then comes back down 2.5

B wouldnt be right because its negative

C wouldnt be right because they are adding 4.5 to -2.5

D wouldnt be right be right because it doesnt even look right since its going down from 0 and 2.5 is following from it

A

Step-by-step explanation:

pretty sure it's the first one due to the fact that 4.5-2.5 is 2. and it's the only answer choice showing 2.5 being taken from 4.5

Answer:

Rate of change = -1

Step-by-step explanation:

Given:

f(x) = -½(x + 2)² + 5

Required:

Average rate of change from x = -3 to x = 1

Solution:

Rate of change = \( \frac{f(b) - f(a)}{b - a} \)

Where,

a = -3,

f(a) = f(-3) = -½(-3 + 2)² + 5 = -½(-1)² + 5 = 4.5

b = 1,

f(b) = f(1) = -½(1 + 2)² + 5 = -½(9) + 5 = 0.5

Plug in the values into the formula:

Rate of change = \( \frac{0.5 - 4.5}{1 - (-3)} \)

Rate of change = \( \frac{-4}{4} \)

Rate of change = -1

The distance between the two given points coordinates is; Option C: √85

Formula for the distance between two coordinates is;

d = √((x₂ - x₁)² + (y₂ - y₁)²)

We are given the coordinates as;

(-2, 3) and (5, -3). Thus;

d = √((-2 - 5)² + (-3 - 3)²)

d = √(49 + 36)

d = √85

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sketch of the line 4x + 3y = 11, slope (-4/3),  y-intercept of the line y = 11/3

Step 1: Convert the equation to slope-intercept form (y = mx + b) by solving for y:

3y = -4x + 11

y = (-4/3)x + 11/3

Step 2: Identify the slope and y-intercept:

From the equation in slope-intercept form, we can see that the slope (m) is -4/3 and the y-intercept (b) is 11/3.

Step 3: Plot the y-intercept:

On the y-axis, mark a point at y = 11/3 (approximately 3.67). This is the y-intercept of the line.

Step 4: Use the slope to find additional points:

Using the slope of -4/3, we can find other points on the line. The slope represents the change in y for every 1 unit change in x. So, starting from the y-intercept, we can move down 4 units and to the right 3 units to find the next point, and continue this pattern to find more points.

Step 5: Connect the points:

Once you have a few points on the line, you can connect them with a straight line. Make sure the line extends beyond the plotted points to show that it continues indefinitely.

The resulting line should have a negative slope (-4/3) and be slanting downward from left to right.

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Answer:

c. 3

Step-by-step explanation:

Answer:

angleB = 41.4°

Step-by-step explanation:

✨ Trigonometry✨

cos theta = adj / hyp

theta = inverse-cos adj / hyp

theta = inverse-cos 12 / 16

theta = inverse-cos .75

theta = 41.4°

*theta is the 0 with a line through it

Para encontrar las razones trigonométricas, debemos recordar su definición:

donde, co denota el cateto opuesto, ca el cateto adyacente y h la hipotenusa.

Como vemos de las definiciones, necesitamos saber todos los lados del triángulo. Para encontrar el lado a del triángulo es necesario utilizar el teorema de Pitágoras:

En este caso, c=100 y b=85. Sustituyendo los valores y resolviendo la ecuación para a, tenemos que:

Una vez que tenemos todos los lados, podemos encontrar las funciones trigonométricas del ángulo 55°. Notamos que para este angulo:

Entonces:

Answer:

2.75 miles per hour

Step-by-step explanation:

16.5/6

9514 1404 393

Answer:

  2)  f(x) = log3(x -1) +1

Step-by-step explanation:

The vertical asymptote of the log function is normally x=0. In this function, it is moved to the right 1 unit. That is accomplished by replacing the function argument x with (x-1). Only one answer choice matches:

  f(x) = log3(x -1) +1

Answer:

no solution

Step-by-step explanation:

Answer:

Hey dude

Step-by-step explanation:

I'm not understanding the language... Really sorry can you translate it into English.. Pls... Peace

Answer:

D

Step-by-step explanation:

A = 3k yapabiliriz

B = 2K yapabiliriz

3K + 2K = 1800

5K = 1800

K = 360

Ali nin parsi = 3k

ali nin parasi = 1080

cevap = D

The volume of the triangular prism is 42 in³.

In geometry, a triangular prism is a three-sided polyhedron with a triangle base, a translated copy, and three faces joining equal sides. A right triangular prism is oblique if its sides are not rectangular.

We know that

Volume of Prism (V) = Area of triangle * Height of Prism

Area of triangle = (Base * Height) / 2

Area of triangle = (4 * 3) / 2

Area of triangle = 12 / 2

Area of triangle = 6 in²

Using this, we get

⇒V = 6 * 7

⇒V = 42 in³

Hence, the volume of the triangular prism is 42 in³.

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Since there are multiple questions so the question answered above is attached below

The equation part of the given word problem is x+y=52 and y=x+16.

a) Let x = number of green eyed dolls

And let y = number of blue-eyed dolls

Now we are told the following:

x+y=52 → eq1

and

y=x+16 → eq2

b) substitute y = x+16 from eq2 into eq1:

x+x+16 = 52 subtract 16 from each side

x+x+16-16 = 52-16 collect like terms

2x = 36 divide each side by 2

x = 18 → number of green-eyed dolls

substitute x = 18 into equation2

y = 18+16 =34 → number of blue-eyed dolls

18+34=52

52=52

and

18+16=34

34=34

THIS PROBLEM CAN ALSO BE SOLVED USING ONE EQUATION AND ONE UNKNOWN:

Let x = Number of green-eyed dolls

Then 52-x = Number of blue-eyed dolls

Now we are told that:

x+16 = 52-x add x to and subtract 16 from each side

x+x+16-16 = 52-16-x+x collect like terms

2x=36 → same as before

x = 18.

Hence, the equation part of the given word problem is x+y=52 and

y=x+16.

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A rhombus is a quadrilateral with all sides of equal length.To determine whether √QRST is a rhombus, a rectangle, or a square, we can use the properties of these geometric shapes.

First, let's calculate the distances between the given vertices using the distance formula:

- Distance between Q and R:

√((6-12)^2 + (-6-0)^2) = √((-6)^2 + (-6)^2) = √(36 + 36) = √72 = 6√2

- Distance between R and S:

√((0-6)^2 + (0-(-6))^2) = √((-6)^2 + (6)^2) = √(36 + 36) = √72 = 6√2

- Distance between S and T:

√((6-0)^2 + (6-0)^2) = √((6)^2 + (6)^2) = √(36 + 36) = √72 = 6√2

- Distance between T and Q:

√((12-6)^2 + (0-6)^2) = √((6)^2 + (-6)^2) = √(36 + 36) = √72 = 6√2

Since all the distances are equal, we can conclude that the figure √QRST is a rhombus.

Now, let's determine whether it is also a rectangle or a square. For a figure to be a rectangle, opposite sides must be equal in length and the diagonals must be equal.

In this case, we can see that the opposite sides QR and ST have the same length of 6√2. Additionally, the diagonals QS and RT also have the same length of 6√2. Therefore, we can conclude that √QRST is a rectangle.

However, for a figure to be a square, it must have all sides equal in length and the diagonals must be equal. Since the sides of √QRST are not all equal, we can conclude that it is not a square.

In summary, √QRST is a rhombus and a rectangle.

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Answer:

y +3 = \(\frac{-5}{3}\)(x -1)

Step-by-step explanation:

The point slope form of a line is

y - \(y_{1}\) = m( x - \(x_{1}\))  The \(y_{1}\) and \(x_{1}\) come from the point given (1,-3) and the slope is given. You plug it in.

y - -3 = \(\frac{-5}{3}\) ( x -1)  y - -3 is the same as y + 3

y + 3 = \(\frac{-5}{3}\)( x -1)

Answer:

y=-5/3x-4/3

Step-by-step explanation:

Point-slope from is y-y1=m(x-x1). y1 is -3 m is -5/3 x1 is 1. It looks like (y-(-3)=-5/3(x-1)). Now a negative times a negative is a positive so it would be (y+3=-5/3(x-1)) Now you must distribute. (y+3=-5/3x+5/3) and subtract 3 (y=-5/3x-4/3)

Hope this helped!

Answer:

-（1/4）

Step-by-step explanation:

By making the appropriate change of variables, the given integral evaluates to 5.

To evaluate the integral, we need to make an appropriate change of variables. Let u = 10x - 5y and v = 8x - y. Then, we can rewrite the integral in terms of u and v as:

∫∫(u/v) dA = ∫∫(u/v) |J| dudv

where J is the Jacobian of the transformation.

The Jacobian is given by:

J = ∂(x,y)/∂(u,v) = (1/2)

Therefore, the integral becomes:

∫∫(u/v) |J| dudv = ∫∫(u/v) (1/2) dudv

Next, we need to find the limits of integration in terms of u and v. The four lines that define the parallelogram R can be rewritten in terms of u and v as:

v = 8x - y = 8(u/10) - (v/5)

v = 8x - y - 6 = 8(u/10) - (v/5) - 6

v = x - 5y = (u/10) - (2v/5)

v = x - 5y - 4 = (u/10) - (2v/5) - 4

These four lines enclose a parallelogram in the uv-plane, with vertices at (0,0), (80,40), (10,-20), and (90,30). Therefore, the limits of integration are:

∫∫(u/v) (1/2) dudv = ∫^80_0 ∫^(-2u/5 + 80/5)_(u/10) (u/v) (1/2) dvdudv

Evaluating the integral gives:

∫∫(u/v) (1/2) dudv = 5

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Answer:

The answer is c<−26

Step-by-step explanation:

The solution to the given inequality c + 6 < -20 is c < -26, which is shown in the attached number line.

To solve the inequality c + 6 < -20, we need to isolate the variable c.

First, we can subtract 6 from both sides of the inequality:

c + 6 - 6 < -20 - 6

This simplifies to:

c < -26

Therefore, the solution to the inequality is that c is less than -26. In other words, any value of c that is smaller than -26 will satisfy the inequality.

To represent this on a number line, we can mark a point at -26 and shade all the values to the left of it, including -26, to indicate that they satisfy the inequality.

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Answer: x= 2, y= 5

Step-by-step explanation:

Answer:

C. Wright Mills

Step-by-step explanation:

was the American sociologist who strongly criticized the structural functionalist approach to sociology.

Answer:

9x>63$

Step-by-step explanation:

nine $ aquarium , at most > 63$

Answer: Personally I would do option "B" 2 1/3 because it sounds right.

The equation of the tangent plane to the surface z = ln(x - 3y) at the point (4, 1, 0) is x - 3y - 1 = 0.

To find the equation of the tangent plane to the surface given by z = ln(x - 3y) at the point (4, 1, 0), we can use the gradient.

The gradient of a function gives the direction of the steepest ascent at any point on the surface. The gradient vector at a point (x, y, z) is given by:

∇f(x, y, z) = (∂f/∂x, ∂f/∂y, ∂f/∂z)

In this case, the function is f(x, y, z) = ln(x - 3y). Taking partial derivatives:

∂f/∂x = 1 / (x - 3y)

∂f/∂y = -3 / (x - 3y)

∂f/∂z = 0

Evaluating the partial derivatives at the point (4, 1, 0):

∂f/∂x = 1 / (4 - 3(1)) = 1 / 1 = 1

∂f/∂y = -3 / (4 - 3(1)) = -3 / 1 = -3

∂f/∂z = 0

Therefore, the gradient vector at the point (4, 1, 0) is ∇f(4, 1, 0) = (1, -3, 0).

Now, we can find the equation of the tangent plane using the point-normal form of a plane. The equation of the plane is:

(x - x0, y - y0, z - z0) · ∇f(x0, y0, z0) = 0

Substituting the values, we have:

(x - 4, y - 1, z - 0) · (1, -3, 0) = 0

Simplifying this equation, we get:

(x - 4) - 3(y - 1) = 0

x - 4 - 3y + 3 = 0

x - 3y - 1 = 0

Therefore, the equation of the tangent plane to the surface z = ln(x - 3y) at the point (4, 1, 0) is x - 3y - 1 = 0.

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Answer:

\(f(x + 3) = {(x + 3)}^{3} \)

Shifted left with x-intercept at (-3,0) and the y-intercept at (0,27)

Answer:

multiply the other kid's time by 3/4

Step-by-step explanation:

there's some info missing but hope this helps!