Select all points where relative minimum values occur on this graph of a polynomial function.



a
Point A
b
Point B
c
Point C
d
Point D
e
Point E
f
Point F
g
Point G
h
Point H

Answer:

\(a^{-4}\)

Step-by-step explanation:

Using the rule of exponents

\(a^{-m}\) ⇔ \(\frac{1}{a^{m} }\)

Thus

\(\frac{1}{a^{4} }\) = \(a^{-4}\)

Answer:

The sale price would be $80.00

Step-by-step explanation:

1/3 (33%) of $120 is $40.

$120 - $40 = $80

Answer:

x = 2

Step-by-step explanation:

Given 2 intersecting chords in a circle, then

The product of the parts of one chord is equal to the product of the parts of the other chord , that is

12x = 6(x + 2) = 6x + 12 ( subtract 6x from both sides )

6x = 12 ( divide both sides by 6 )

x = 2

Answer:

\(x=2\)

Step-by-step explanation:

The term 'secant' refers to a line segment that intersects a circle in two places. When two secants intersect inside a circle, one can use the product of lengths theory to form ratios between the parts of intersection between the secants. This ratio can be described as the following, let (\(secant_A\)) and (\(secant_B\)) represent the two secants in the circle. Part (1) and (2) will refer to the two parts formed after the intersection of the secants.

\((secant_A_1)(secant_A_2)=(secant_B_1)(secant_B_2)\)

Use this formula in the given situation, substitute the given values in and solve for the unknown,

\((secant_A_1)(secant_A_2)=(secant_B_1)(secant_B_2)\)

\((6)(x+2)=(12)(x)\)

Simplify,

\((6)(x+2)=(12)(x)\)

\(6x+12=12x\)

\(12=6x\)

\(x=2\)

Answer:

3:1

54:18

Step-by-step explanation:

You can divide both sides by 9 to get one ratio:

27/9:9/9

3:1

You can also multiply both sides by 2 to get another ratio:

27(2):9(2)

54:18

Answer:

n≥−4

Step-by-step explanation:

Answer:

n ≥ −4

Step-by-step explanation:

I believe this is what you want?

To find an equation of a plane through a given point and perpendicular to a given line, you can follow these steps:

1. Find the direction vector of the given line. This can be done by subtracting the coordinates of any two points on the line. Let's denote this vector as "d".

2. Find the normal vector of the plane. Since the plane is perpendicular to the line, its normal vector will be the same as the direction vector of the line. So, the normal vector of the plane is "d".

3. Use the coordinates of the given point on the plane to find the equation of the plane. Let's denote the coordinates of the point as (x₀, y₀, z₀).

The equation of the plane can be written as:

Ax + By + Cz = D,

where A, B, C are the components of the normal vector "d", and x, y, z are the variables representing any point on the plane.

To find the values of A, B, C, and D, substitute the coordinates of the given point into the equation:

A(x₀) + B(y₀) + C(z₀) = D.

Therefore, the equation of the plane through the given point and perpendicular to the line is:

d₁(x - x₀) + d₂(y - y₀) + d₃(z - z₀) = 0,

where (d₁, d₂, d₃) are the components of the direction vector "d" of the line, and (x₀, y₀, z₀) are the coordinates of the given point.

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Find the equation of the plane passing through the point (−1,3,2) and perpendicular to each of the planes x+2y+3z=5 and 3x+3y+z=0.

Answer:

Step-by-step explanation:

-First one is -17.3

-6 months

-ıdk this one

The length of the fabric which Brandon formed a rectangle, is 11 inches.

To find the length of the fabric, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the length of the fabric is one of the other two sides, and the diagonal cut is the hypotenuse. So, we can write the equation:

\(L^2 + 5^2 = 13^2\)

where L is the length of the fabric.

Solving for L, we get:

\(L^2 = 144 - 25 = 119, and L =\sqrt{119} = 11.\)

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Less than 1 is the eccentricity of an infinitely long ellipse.

The ratio of the focus's distance from the ellipse's centre and the ellipse's distance from one of its ends is called the eccentricity of an ellipse.

It is easy to understand how circular an ellipse is in relation to a circle when we assume its eccentricity. It also estimates the ovalness of the ellipse, and eccentricity close to 1 directs to the high degree of ovalness.

The eccentricity of an ellipse is always < 1, i.e. e < 1. The formula of the eccentricity of an ellipse is as follows:

Eccentricity = Distance from Focus/Distance from Directrix

Which can be written as

=> e = c/a.    

Where

e = Eccentricity of the ellipse

c = Distance of the focus from the centre of the ellipse

a = Distance of the endpoint of an ellipse from its centre

As we know, the eccentricity of an ellipse is always less than 1, So we can conclude that the eccentricity of an infinitely long ellipse is less than 1.

Therefore, less than 1 is the eccentricity of an infinitely long ellipse.

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The assembly code for the given expression is "SUB dm[5000], dm[5004]; MOV dm[5008], dm[5000]".

To convert the expression "z = (x - y) * 1" into assembly code, we need to break it down into individual assembly instructions.

1. Subtracting the values of x and y:

The assembly instruction for subtraction is "SUB destination, source". In this case, we subtract the value of y from the value of x and store the result in a temporary register. So, the instruction will be "SUB dm[5000], dm[5004]".

2. Multiplying the result by 1:

In assembly, multiplying a value by 1 is simply storing the value as it is. Since we have the result of the subtraction in a temporary register, we can directly move it to the location of z.

The assembly instruction for moving a value is "MOV destination, source". Here, we move the value from the temporary register to the memory location dm[5008]. So, the instruction will be "MOV dm[5008], dm[5000]".

After executing these two instructions, the value of z will be updated with the result of (x - y) * 1.

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18cm×2=36cm

13cm×2=26cm

36+26=62cm

answer =62cm

Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

Answer:

800

Step-by-step explanation:

= 2 (13 x 11 + 11 x 11 + 11 x 13 )

= 2 (143 + 121 + 143)

= 2 x 407

= 814 inch^2

nearest hundred = 800

80, answer = 800 inch^2

The scale factor used in the dilation of the triangles is 3

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

The scale factor is calculated as

Scale factor  = A'/A

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

Scale factor  = (-3, -3)/(-1, -1)

Evaluate

Scale factor  = 3

Hence, the scale factor is 3

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Answer:

-2

Step-by-step explanation:

So, the solution to the integral ∫ (4x^2 - 4x + 5) dx is (4/3)x^3 - 2x^2 + 5x + C.

To evaluate the integral of the given expression, we can apply the power rule and the constant multiple rule of integration. Let's break down the integral step by step:

∫ (4x^2 - 4x + 5) dx

Using the power rule, we integrate each term separately:

∫ 4x^2 dx - ∫ 4x dx + ∫ 5 dx

Applying the power rule, we get:

(4/3)x^3 - 2x^2 + 5x + C

Where C is the constant of integration.

So, the solution to the integral ∫ (4x^2 - 4x + 5) dx is (4/3)x^3 - 2x^2 + 5x + C.

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The exact distance between point P(-4, 3, -2) and point Q(4, 1, -4) is √72 units.

To find the distance between two points in three-dimensional space, we can use the distance formula. The formula for the distance between two points P(x1, y1, z1) and Q(x2, y2, z2) is given by √((x2 - x1)² + (y2 - y1)² + (z2 - z1)²).

Using this formula, we can calculate the distance between point P(-4, 3, -2) and point Q(4, 1, -4).

Substituting the coordinates into the formula, we have:

Distance = √((4 - (-4))² + (1 - 3)² + (-4 - (-2))²)

= √(8² + (-2)² + (-2)²)

= √(64 + 4 + 4)

= √(72)

= √(36 * 2)

= √36 * √2

= 6√2.

Therefore, the exact distance between point P(-4, 3, -2) and point Q(4, 1, -4) is 6√2 units.

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In summary, a dilation with a scale factor not equal to 1 preserves the angles of the preimage while altering the side lengths in a proportional manner.

In a dilation with a scale factor not equal to 1, the angles and side lengths of the preimage and the image are related in the following ways:

Angles: The angles in the preimage and the image remain the same. They have the same measures, and their relative positions to each other are preserved. The dilation does not affect the angles; they are unchanged.

Side Lengths: The side lengths in the image are proportional to the corresponding side lengths in the preimage. The scale factor of the dilation determines the ratio between the side lengths. If the scale factor is greater than 1, the side lengths in the image will be longer than the corresponding side lengths in the preimage. If the scale factor is between 0 and 1, the side lengths in the image will be shorter than the corresponding side lengths in the preimage. The ratio of the side lengths remains the same throughout the dilation.

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Answer:

1139

Step-by-step explanation:

The exponential growth rate formula is as follows:

F = A(1+r)^t, with F representing the final amount, a representing the initial amount, r representing rate, and t representing time. Here, we have

A = 100, r = 50% = 0.5 (divide 50% by 100 to convert it to a decimal), and t = 6. Plugging these in, we get

F = 100(1+0.5)^6 = 1139

Answer:

D)

Step-by-step explanation:

100 - 32 + 24/4 * 2

100 - 32 + 6 * 2

100 - 32 + 12

100 - 32 + 12 = 80

Answer:

your answer would be C.

Step-by-step explanation:

even though it looks like you would do 24/4 you would actually multiply first. you would multiply 4 by 2 and then you would divide and then add and then subtract. You could use PEMDAS here again. since there's no parentheses and no exponents then you multiply and then divide and then go on to add and then subtract.

also sorry for the late response my data didn't want to work because I currently in school

Answer:

-8(x²-2)

Step-by-step explanation:

Factor -8 out of -8x²

-8(x²)+16

Factor -8 out of 16.

-8(x²)-8(-2)

Factor -8 out of -8(x²)-8(-2).

The given statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is False.

The union of two events A and B represents the event that at least one of the events A or B occurs. The probability of the union of two events can be calculated using the formula:

P(A or B) = P(A) + P(B) - P(A and B)

On the other hand, the intersection of two events A and B represents the event that both events A and B occur. The probability of the intersection of two events can be calculated using the formula:

P(A and B) = P(A) * P(B|A)

where P(B|A) is the conditional probability of B given that A has occurred.

It is possible for the probability of the union of two events to be greater than the probability of the intersection of two events if the two events are not mutually exclusive.

In this case, the probability of both events occurring together (the intersection) may be relatively small, while the probability of at least one of the events occurring (the union) may be relatively high.

In summary, the probability of the union of two events occurring can sometimes be greater than the probability of the intersection of two events occurring, depending on the relationship between the events.

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Answer:

-15 and -2

Step-by-step explanation:

Since a negative times a negative equals a positive, but when added, still stays a negative, the factors must both be negative.

Negative Factors of 30:

-30 + -1 = -31

-15 + -2 = -17

-10 + -3 = -13

-6 + -5 = -11

The two factors of 30 that add up to -17 are -15 and -2.

Hope this helps. Have a nice day.

The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of Cosec A is (√61)/(6).

The trigonometric function gives the ratio of different sides of a right-angle triangle.

\(\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\\)

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

The Cot is the ratio of the base of the triangle to the perpendicular side of the triangle, therefore, we can write,

Cot A = Base/Perpendicular = 5/6

Thus, the base of the triangle is 5 units, while the length of the perpendicular of the triangle is 6 units. Now the length of the hypotenuse side of the triangle is,

H² = 5² + 6²

H² = 25 + 36

H = √61

Now, the value of Cosec A can be written as,

Cosec A = Hypotenuse/Perpendicular = (√61) / (6)

Hence, the value of Cosec A is (√61)/(6).

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5x - 3(x + 9) + 10 = 4

\( \implies \)\(5x - 3x - 27 + 10 = 4\)

\( \implies \)\(2x - 17 = 4\)

\( \implies \)\(2x = 4 + 17\)

\( \implies \)\(2x = 21\)

\( \implies \)\(x = \frac{21}{2} \)

Answer:

1,3 is the answer... if you look down here↓:

Step-by-step explanation:

Answer:

192 cubic inches

Step-by-step explanation:

a) The directional derivative of f(x, y) = xy along the unit vector d = 5i + 12j at the point (x0, y0) = (e, e) is 17e.

b) The directional derivative of f(x, y, z) = ex + yz along the unit vector d = (4, −3, 3) at the point (x0, y0, z0) = (1, 1, 1) is 1.

c) The directional derivative of f(x, y, z) = xyz along the unit vector d = (1, 0, −1) at the point (x0, y0, z0) = (1, 0, 1) is 0.

The directional derivative measures the rate at which a function changes along a specified direction. It is computed by taking the dot product of the gradient of the function with the unit vector representing the direction.

For part (a), the gradient of f(x, y) = xy is (∂f/∂x, ∂f/∂y) = (y, x), and at the point (e, e), it becomes (e, e). Taking the dot product of this gradient with the unit vector (5, 12) gives 5e + 12e = 17e.

For part (b), the gradient of f(x, y, z) = ex + yz is (∂f/∂x, ∂f/∂y, ∂f/∂z) = (e, z, y), and at the point (1, 1, 1), it becomes (e, 1, 1). Taking the dot product of this gradient with the unit vector (4, -3, 3) gives 4e - 3 + 3 = 1.

For part (c), the gradient of f(x, y, z) = xyz is (∂f/∂x, ∂f/∂y, ∂f/∂z) = (yz, xz, xy), and at the point (1, 0, 1), it becomes (0, 0, 0). Taking the dot product of this gradient with the unit vector (1, 0, -1) gives 0.

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The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

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