Find the value of k k for which the constant function x ( t ) = k x(t)=k is a solution of the differential equation 8 t 3 d x/d t + 4 x+7 = 0 8t3dxdt 4x 7=0 .

-1/28 is the average rate of change of f(x) from 8 to 64. Thus, option A is correct.

The f(x) function of the  

f(x)=−\(\sqrt[3]{x}\)

the range is provided to lie between 8 and 64.

The function for 8 will be:

f(8)  =−\(\sqrt[3]{8\\}\)

= -2

The function for 64 will be:

f (64)  =−\(\sqrt[3]{64\\}\)

= - 4

The average is usually determined with the help of the intervals that are given:

The average function of (64,f(64)) and (8,f(8)); will be calculated as:

f = \(\frac{-4 - (-2)}{64 - 8}\)

= -2 / 56

= -1 / 28

Therefore, option A is correct.

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The question is incomplete, Complete question probably will be  is:

Let f(x)=−x√3.

What is the average rate of change of f(x) from 8 to 64?

−1/28

1/28

−28

28

The slope of the equation y = -5x - 1 is -5. This means that the line represented by this equation has a downward slope, where y decreases by 5 units for every unit increase in x.

The slope of a linear equation represents the rate at which the dependent variable (y) changes with respect to the independent variable (x). In the standard form of a linear equation, y = mx + b, the coefficient of x (m) represents the slope.

Step 1: Identify the equation: y = -5x - 1.

Step 2: Identify the coefficient of x: In this equation, the coefficient of x is -5.

Step 3: Interpret the slope: The coefficient of x, -5, represents the slope. In this case, the slope is negative, indicating that as the value of x increases, the corresponding value of y decreases. The magnitude of the slope, 5, tells us that for every unit increase in x, the corresponding y-value decreases by 5 units.

In summary, the slope of the equation y = -5x - 1 is -5. This means that the line represented by this equation has a downward slope, where y decreases by 5 units for every unit increase in x.

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The graph that represents Ramon's initial step is, On a coordinate plane, the point (0, 3) is graphed.

The ordinate and abscissa of the x coordinate, along with two values specified in parentheses in a specific order, make up an ordered pair.

Pair in Order = (x, y) where x represents the abscissa, the measure of a point's separation from the main axis, and y represents the ordinate, the measure of a point's separation from the secondary axis.

Given, Ramon is graphing the function f(x) = 3 + (4)x.

We know the initial value of a function is determined when the independent variable is set to zero.

Here the independent variable is 'x'.

Now, at x = 0,

f(0) = 3 + (4)(0).

f(0) = 3.

So, The ordered pair is (0, 3).

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Answer:

a

Step-by-step explanation:

The conjecture and the two-column proof used to prove the conjecture are as explained below.

Transitive property of congruence states that if one pair of lines or angles or triangles are congruent to a third line or angle or triangle, then it means that the first line or angle or triangle is congruent to the third line or angle or triangle. For example, if ∠A is congruent to ∠ B, and ∠ B is congruent to ∠ C, then we can say that, ∠ A is congruent to ∠ C.

The two column proof to prove the given conjecture are as follow;

Statement 1: S is the midpoint of RT        

Reason 1: Given

Statement 2: RS ≅ ST                              

Reason 2: Definition of midpoint

Statement 3: ST ≅ XY                              

Reason 3: Given

Statement 4:  RS ≅ XY                              

Reason 4: Transitive property of congruence

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Place the answers in this order

AB=CE

CE =AC

transitive property of congruence

definition of isosceles triangle

I included a link with proof  that these are the correct answers, I took the test.

I HOPE THIS HELPS & GOOD LUCK <3

Answer:

Step-by-step explanation:

given:

\(f(x)=x^2\)

\(f(3)=3^2\)

\(f(3)=9\)

just insert the value in and you get your answer

Answer: D

Step-by-step explanation:

2x - 14 + x= 46

3x = 60

x= 20

Answer:

This is trapezium.

Area of this figure =1/2h(d1-d2)

1/2×5(14-8)

=30/2

=15cm^2

Answer:

The mode is 88 as you can see there the 88 occurs twice.

Step-by-step explanation:

I hope this helps

Useful Log Rules:

=========================================================

Part (a)

All logs shown below are base 3.

log(500) = log(5*100)

log(500) = log(5*10^2)

log(500) = log(5)+log(10^2) .... use log rule 1

log(500) = log(5) + 2*log(10) .... use log rule 3

log(500) = 1.4650 + 2*2.096 ....... substitution

log(500) = 5.657

=========================================================

Part (b)

All logs shown below are base 3.

log(2) = log(10/5)

log(2) = log(10) - log(5) .... use log rule 2

log(2) = 2.096 - 1.4650  ....... substitution

log(2) = 0.631

The vector (1, 2, 15, 11) is not in the span of {(2, -1, 0, 2), (1, -1, -3, 1)}. The span of {(1, 3, -5, 0), (-2, 1, 0, 0), (0, 2, 1, -1), (1, -4, 5, 0)} does equal R4.

To determine if the vector (1, 2, 15, 11) is in the span of {(2, -1, 0, 2), (1, -1, -3, 1)}, we need to check if there exist scalars such that a(2, -1, 0, 2) + b(1, -1, -3, 1) = (1, 2, 15, 11). Solving this system of equations, we get:

2a + b = 1

-a - b = 2

-3b = 15

2a + b = 11

Solving the system, we find that the last equation -3b = 15 has no solution, which means that the vector (1, 2, 15, 11) is not in the span of {(2, -1, 0, 2), (1, -1, -3, 1)}.

On the other hand, to determine if the span of {(1, 3, -5, 0), (-2, 1, 0, 0), (0, 2, 1, -1), (1, -4, 5, 0)} equals R4, we need to check if every vector in R4 can be expressed as a linear combination of these four vectors. Since the four vectors form a set in R4 and are linearly independent, their span does indeed equal R4.

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Answer:

A (2,-1)

B (-3,-2)

C (-2,1)

Step-by-step explanation:

A (-2,-1), B (3, - 2), and C (2,1)

Image of triangle ABC reflexión over the y: opposite of the x-coordinates. The y coordinates stay the same.

A’ (2,-1), B’ (-3, -2), and C’ (-2,1)

Answer:

Step-by-step explanation:The tangent of an angle is the trigonometric ratio between the adjacent side and the opposite side of a right triangle containing that angle. Example: In the triangle shown, tan(A)=68 or 34 and tan(B)=86 or 43 .

Given two sides

if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)

if leg b is unknown, then. b = √(c² - a²)

for hypotenuse c missing, the formula is. c = √(a² + b²)

Answer:

it’s 3/4

Step-by-step explanation:

it’s right for khan (trigonometric ratios in right triangles)

Answer:

a triangular pyramid

Step-by-step explanation:

I just folded it in my head

  Mean absolute deviation (MAD) of the data set indicates the average distance of all elements from mean of the data set.

MAD of the data represented by dot plot in the picture will be Option A.

Elements in the given dot plot are,

3, 4, 5, 5, 5, 5, 5, 5, 6, 7

Steps to be followed for the mean absolute deviation of this data set.

Step - 1 :

Mean of the data set = \(\frac{\text{Total of the data}}{\text{Total number of elements}}\)

                                   = \(\frac{3+4+5+5+5+5+5+5+6+7}{10}\)

                                   = \(\frac{50}{10}\)

                                   \(=5\) (As shown on the dot plot)

Step - 2 :

Absolute distance of each element from the mean of the data set,

3 - 5 = |-2| = 2

4 - 5 = |-1| = 1

5 - 5 = 0

5 - 5 = 0

5 - 5 = 0

5 - 5 = 0

5 - 5 = 0

5 - 5 = 0

6 - 5 = 1

7 - 5 = 2

Step - 3 :

Average of the absolute distance = \(\frac{2+1+0+0+0+0+0+0+1+2}{10}\)

                                                        = \(\frac{6}{10}\)

                                                        = 0.6

          Therefore, Option A will be the correct option.

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Answer:

D. 30.5 ft²

Step-by-step explanation:

we see that this is the area of the circle minus the area of the inscribed rectangle.

the radius of the circle is half the diameter : 10/2 = 5 ft.

the area of the circle is

pi×r² = pi×5² = 25pi ft²

the area of the rectangle is

6×8 = 48 ft²

the shaded area is therefore

25pi - 48 = 30.53981634... ft²

so, D is the closest answer.

IT LOOKS LIKE transtive:)))))

Answer:

D

Step-by-step explanation:

Answer:

x=1, 4.5

Step-by-step explanation:

-(-11)plus/minus square root of (-11)^2-4(2)(9) divided by 2 times 2

The point does not lie on the center of the circle.

The point (5, 11) does not lie on the circle centered at the origin and containing the point (2, 5√).

The center of the circle in question is the origin (0, 0). The point (2, 5√) lies on the circle, so we need to check if the distance between the origin and (5, 11) is equal to the radius.

To determine if a point lies on a circle, we can calculate the distance between the center of the circle and the given point. If the distance is equal to the radius of the circle, then the point lies on the circle.

The distance between two points in a coordinate plane can be calculated using the distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2).

Calculating the distance between the origin and (5, 11), we have:

d = sqrt((5 - 0)^2 + (11 - 0)^2) = sqrt(25 + 121) = sqrt(146)=12.083.

Since the distance, sqrt(146), is not equal to the radius of the circle, the point (5, 11) does not lie on the circle centered at the origin and containing the point (2, 5√).

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The equation of a line that passes through a point (x₁, y₁) can be found using the slope-point form: y - y₁ = m(x - x₁), where m is the slope.

where m is the slope of the line. To find the slope, you can use two points on the line or use the rise over run formula: m = (y₂ - y₁) / (x₂ - x₁).

Once you have the slope, you can substitute the values of x₁, y₁, and m into the slope-point form to find the equation of the line. Alternatively, you can also find the equation of the line by using the point-slope form: y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point that the line passes through.

Either way, once you have the equation of the line, you can use it to make predictions, plot points, and solve problems.

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Answer:

In simplified form, sin D is;

4/5

Step-by-step explanation:

The given figure and dimension parameters in the question are;

Triangle ΔDEF is a right triangle

The length of leg \(\overline{EF}\) which is opposite side to the reference angle = 20

The length of segment \(\overline{ED}\) which is the hypotenuse side of the right triangle ΔDEF = 25

The length of segment \(\overline{DF}\) which is adjacent side to the reference angle = 15

By trigonometric ratios, we have;

\(sin\angle X = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}\)

Therefore, we have;

\(sin\angle D = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{20}{25} = \dfrac{4}{5}\)

∴ In simplified form, sin(D) = 4/5.

1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:

Volume = 3 cm x 3 cm x 3 cm = 27 cm³.

Therefore, the volume of the cube is 27 cubic centimeters.

1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:

Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.

Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:

Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.

Therefore, the mass of the water cube is 27 grams.

1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.

Therefore, the weight of the water and the ice would be the same under the same conditions.

1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.

When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.

In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

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Answer:

Length: 3, Width: 5/2

Step-by-step explanation:

The width would be w, so the length would be 2w-2. set the equation to equal 11, and set the problem so its 2w-2+2w-2+w+w, or 6w-4=11. w=5/2, then plug in to get your dimensions

Answer:

12 m

Step-by-step explanation:

pythagorean theorem: a^2+b^2=c^2

subsitute and simplify to get: x^2+256=400

simplify for x^2=144

12 squared is 144 therefore the answer

Since the limit of the sequence is 0, we can say that the sequence is bounded between 0 and some positive number (since all terms in the sequence are positive). Therefore, the answer is (A) bounded.

To determine whether the sequence is increasing, decreasing, or not monotonic, we need to look at how the terms in the sequence change as n increases.

We can rewrite the sequence as:

an = 1/(5n + 4)

As n increases, the denominator 5n + 4 also increases, which means that the fraction 1/(5n + 4) decreases. Therefore, the terms in the sequence decrease as n increases.

So the answer is (B) decreasing.

To determine whether the sequence is bounded, we need to consider the limit of the sequence as n approaches infinity.

lim (n→∞) an = lim (n→∞) 1/(5n + 4) = 0

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When receiving ammunition, unit personnel perform three tasks: ensuring items requested match item numbers on DA Form 3151-R, loading and securing the ammunition, and placarding the vehicle.

The first task performed by unit personnel when receiving ammunition is to ensure that the items requested match the item numbers on DA Form 3151-R. This form serves as a record of the types and quantities of ammunition being received. By comparing the requested items with the item numbers on the form, personnel ensure accuracy and prevent any discrepancies or errors in the delivery.

The second task involves the loading and securing of the ammunition. Unit personnel are responsible for safely and efficiently loading the ammunition onto the designated vehicle or storage area. This includes following proper handling procedures, using appropriate equipment, and adhering to safety protocols. The ammunition must be securely stored and arranged to prevent shifting or damage during transportation.

The final task is to placard the vehicle. Placarding involves visibly displaying the necessary warning signs or labels on the vehicle that indicate the presence of ammunition. This step is crucial for safety and compliance purposes, as it alerts other personnel and drivers to exercise caution when approaching or handling the vehicle. Clear and prominent placarding helps prevent accidents and ensures that everyone involved is aware of the potential hazards associated with transporting ammunition.

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Answer:

false

Step-by-step explanation:

6/3 is 2 and that times 6 is 12 not 18

Answer:

nope its 12 g

Step-by-step explanation:

A) 0.86, 6.8, 8.6

B) 5.07, 7.005, 7.05

hope this is helpful!