for general , the solution . act on this equation with to confirm this is the solution to the original differential equation. remember that acts only on , not . g

Answer:

9 is the answer

Answer: 9 cubes

Step-by-step explanation:

9 * 9 is 81 which makes the floor of it

since its a cube, we multiply 81 by 9, giving 729

The statement that are consistent with the guidelines for hitching trailers are:

A. Trailers must be connected to the tow vehicle before loading.

D. Customer vehicles must have at least a frame mounted Class 3 receiver hitch with a 2" or 2 5/6" ball.

Option A: Because it guarantees that the weight of the cargo is evenly distributed and attached to the trailer before the vehicle is driven this recommendation is consistent with safe hitching techniques.

Option D: Because it guarantees that the trailer is securely fastened to the tow vehicle and can support the weight of the cargo this recommendation is consistent with safe hitching techniques. A 2" or 2 5/16" ball ensures the trailer is firmly fastened to the hitch and a Class 3 hitch is made to support the weight of heavier trailers.

Therefore the correct option is A and D.

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9514 1404 393

Answer:

Step-by-step explanation:

ΔBCD is isosceles, so ∠CDB = ∠CBD = x. The sum of angles in the triangle is 180°, so you have ...

  x + x + 50° = 180°

  2x = 130° . . . . . . . . . subtract 50°, collect terms

  x = 65° . . . . . . . divide by 2

__

Triangle ABC is also isosceles, so ∠BAC = ∠BCA = y. Angle ABC is the supplement of angle x. The sum of angles in ΔABC is 180°:

  y + y + (180° -x) = 180°

  2y - 65° = 0 . . . . . . . . . . subtract 180°, substitute the value of x

  y -32.5° = 0 . . . . . . . divide by 2

  y = 32.5° . . . . . . . . . . add 32.5°

A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.

The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:

(Input, Output).

One point on the scatter plot for this problem has the coordinates given as follows:

(19, 3).

Hence the meaning is that an input of 19 is mapped to an output of 3.

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Answer:

\( - \frac{1}{3} \)

Step-by-step explanation:

① Identify 2 points on the line:

➙ (-3, 0) and (0, -1)

Find points that are easy to identify. The 2 points I have identified passes through each square of the graph nicely.

② Find slope using the gradient formula below:

\(\boxed{gradient = \frac{y1 - y2}{x1 - x2} }\)

Thus, slope of line

\( = \frac{0 - ( - 1)}{ - 3 - 0} \\ = \frac{0 + 1}{ - 3} \\ = \frac{1}{ - 3} \\ = - \frac{1}{3} \)

This figure like, then the construct AB a line and Y be a point outside Y,

and PQ is line through Y, such that PQ║AB. (PQ Parallel AB).

When two or more lines are parallel to one another, it means that they can be extended indefinitely without coming to an end. Since only one line through point PQ can be made to be parallel to AB, the statement supports the construction.

This is the only parallel line that may be drawn to the provided line when a parallel line is built through a point to that line. Lines that are parallel do not meet at any point. As a result, just one parallel line can be drawn through a location and not along a predetermined path.

The assertion in the theorem that this is the only parallel line to line AB that can be constructed through the point PQ justifies the construction of a line via PQ that is parallel to line AB. Any additional line via PQ would not be parallel to the given line since it would meet or overlap line AB at some point when extended.

Draw as per a statement,

Let AB a line and Y be a point outside Y.

And PQ is line through Y, such that PQ║AB.

Therefore, The figure like, PQ is line through Y, such that PQ║AB.

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Part (a)

Answer: Constant of proportionality = 5/8

Reason:

The general template equation is y = kx where k is the constant of proportionality. It is the slope of the line.

The direct proportion line must pass through the origin. In other words, the y intercept must be zero.

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

Part (b)

Answer: Not Proportional

Reason:

The y intercept isn't zero.

Plug x = 0 into the equation to find y = 1 is the y intercept. This graph does not pass through the origin.

The equation of the tangent line at (1,1) is given as follows:

y - 1 = -0.25(x - 1).

The curve for this problem is given as follows:

x² - y² = 2x + y + xy - 4.

Applying implicit differentiation, we obtain the slope of the tangent line, as follows:

2x - 2y(dy/dx) = 2 + (dy/dx) + x(dy/dx) + y

(dy/dx)(1 + x + 2y) = 2x - 2 - y

m = (2x - 2 - y)/(1 + x + 2y).

At x = 1 and y = 1, the slope is given as follows:

m = (2 - 2 - 1)/(1 + 1 + 2)

m = -0.25.

Hence the point-slope equation is given as follows:

y - 1 = -0.25(x - 1).

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The percent error of the estimate is -2.14%

In this question, the figures are given as

Estimate = 5.5 cm

Actual = 5.62 cm

The percentage of the error is then calculated using the following equation

Error percentage = (Estimate - Actual)/Actual * 100%

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

Error percentage = (5.5 - 5.62)/5.62 * 100%

Evaluate

Error percentage = -2.14%

Hence, the error percentage is -2.14%

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Answer:

The scores are equal

Step-by-step explanation:

The z-score for any normal distribution is:

\(z=\frac{X-\mu}{\sigma}\)

(i) Score (X) = 40

Mean (μ)= 50

Standard deviation (σ) = 10

\(z=\frac{40-50}{10}\\ z=-1\)

(ii) Score (X) = 45

Mean (μ)= 50

Standard deviation (σ) = 5

\(z=\frac{45-50}{5}\\ z=-1\)

Both scores have the same z-score, which means that, relative to their respective distributions, the scores are equal.

Answer:

75:25:100

Step-by-step explanation:

step 1= 3+1+4=8

step 2= 200/8=25

step 3= 25 x 3=75

25 x 1= 25

25 x 4=100

Answer:

33,600,000

Step-by-step explanation:

Answer:

33,600,000.

Step-by-step explanation:

Part (a)

The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.

\(C(x)=500+1.25x\)

Part (b)

The revenue is the number of slushies sold multiplied by the amount charged per slushie.

\(R(x)=3.50x\)

Answer:

x-9

Step-by-step explanation:

Answer:

Using a graphing calc.

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. ... The formula for the area of a regular octagon is 4.828 s², where s is the length of any side.

Angle ∠EBD is congruent to angle ∠DBA. Option D is the true statement.

An angle bisector is the line segment that bisects the angle into two equal halves.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,

Ray BE is a bisector of angle CBA,

∠CBE = ∠EBA = 60°

∠EBD = ∠EBA - ∠DBA

∠EBD = 60 - 30 = 30

So,

∠EBD = ∠DBA [DB becomes angle bisector of angle EBA]

Thus, ∠EBD is congruent with ∠DBA is the only correct answer among the option.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Which of the following statements is true if ray BE is a bisector of angle CBA?

A. Ray BD is a bisector of angle CBA.

B. ∠EBD is congruent to ∠CBE.

C. Ray BE is a bisector of angle ABE.

D. ∠EBD is congruent to ∠DBA.

The solution of the system of equations are x = 7 and y = 77

Given data

y = 9x + 14

y = 6x + 35

solving using substitution method to solve the simultaneous equation we have

y = 9x + 14  equation 1

y = 6x + 35  equation 2

equating the both equations will give

9x + 14  = 6x + 35

9x - 6x = 35 - 14

3x = 21

x = 7

plugging x = 7 into equation 1

y = 9x + 14

y = 9 * 7 + 14

y = 63 + 14

y = 77

The solution of the system of equations are x = 7 and y = 77

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Answer:

144

Step-by-step explanation:

We can write this as 2 shirts = 16.00 . Then, we can write this as a ratio, where

2 shirts / 16.00 = 18 shirts/ cost of 18 shirts as the cost for a pair of shirts remains the same, so the ratio will as well.

Therefore, writing the cost of 18 shirts as c, we have

2 shirts/16.00 = 18 shirts/c

multiply both sides by c to remove a denominator

2 shirts * c/16.00 = 18 shirts

multiply both sides by 16 to remove the other denominator

2 shirts * c = 18 shirts * 16

divide both sides by 2 shirts to isolate the c, as we want to figure that out

c = 18 shirts * 16/2 shirts

c=144

Answer:

4(x -4)(2x +1)

Step-by-step explanation:

8x² -16 -28x , rearrange it so the exponents will be going form highest to lowest

8x²-28x -16, factor 4

4(2x² -7x -4),

            to get 2x² we need to multiply an x and a 2x

            to get -4 we need to multyply 1 and -4 or -1 and 4 or 2 and -2 (can use       trial and error method here)

4(x -4)(2x +1)

Check

4(x-4)(2x+1) = (4x -16)(2x+1) = 8x² +4x -32x -16 = 8x²-28x -16

The parameter estimate's t-statistic calculates the discrepancy between the estimate and the actual parameter. If the absolute value is high, the true parameter is probably very different from the estimate.

The parameter estimate's t-statistic calculates the discrepancy between the estimate and the actual parameter. It is derived by multiplying the discrepancy between the two by the estimate's standard error. The true parameter is probably far from the estimate, according to a large absolute value of the t-statistic. As a result, one cannot have confidence in the estimate because it is not a trustworthy representation of the real parameter. This is because a significant t-statistic indicates that the estimate is likely to be inaccurately estimating the true parameter and is either too high or too low. As a result, it is obvious that the true parameter is unlikely to be represented by the estimate when the t-statistic for a parameter estimate has a high absolute value.

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The complete question is

when the t-statistic for a parameter estimate is large in absolute value, you can be confident that the true parameter is not .How do you interpret a large t-statistic in a parameter estimate?

People withe the appropriate clearance and a signed non-disclosure agreement may access classifies information within a company or organization.

People must have a favorable determination of eligibility at the proper level, have a "need-to-know", and have signed an appropriate non-disclosure agreement before accessing classified information. Any individual who falls to meet these requirements is not authorized to access classified information.

Classified information may be made available to a person only when the possessor of the information establishes that the person has a valid "need-to-know" and the access is essential to the accomplishment of official government duties.

Data classification is the process of organizing data into categories that make it easy to retrieve,sort and store for future use. A well-planned data classification system makes essential data easy to find and retrieve.

Given question is incomplete.

Who can access classified data?

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Answer:

Robert answered 16 questions correctly.

Step-by-step explanation:

Convert the problem into algebraic equations.

Let x be the number of correct answers. Thus the number of incorrect answers  is 20-x.

Three points are awarded for every correct answer and 1 point is deducted for every incorrect answer so we can make an equation:

3x - 1(20-x) = 44

3x -20 + x = 44

4x = 64

x = 64/4

x = 16

Answer:

Step-by-step explanation:

(6-2i)(2-3i)=

we will use foil to multiply

-12-18i-4i+6(i^2)=

now remeber that (i^2)=-1

=12-22i-6=6-22i

Explanation: To multiply two complex numbers, use the F.O.I.L method.

So we have (6 - 2i)(2 - 3i).

So we have 12 - 18i - 4i + 6i².

Combining like terms, we have 12 - 22i + 6i².

Now, remember that i² is equal to -1 so we have

12 - 22i + 6(-1) or 12 - 22i - 6 or 6 - 22i.

So our answer is 6 - 22i.

The dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is 75 square meters

What is measurement?

Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, and volume, in order to describe and quantify the properties of objects and phenomena.

Let's assume that the rock wall is the width of the garden and the wire fencing is used for the length and the other two sides. Let's denote the length of the garden as L and the width as W.

Since we have 30 meters of fencing available, the total length of wire fencing used is:

L + 2W = 30 - W

Simplifying this equation, we get:

L = 30 - 3W

The area of the garden is:

A = LW

Substituting the expression for L from the previous equation, we get:

A = W(30 - 3W)

Expanding the expression, we get:

A = 30W - 3W²

To find the maximum area, we need to take the derivative of A with respect to W and set it equal to zero:

dA/dW = 30 - 6W = 0

Solving for W, we get:

W = 5

Substituting this value back into the expression for L, we get:

L = 15

Therefore, the dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is:

A = 5(15) = 75 square meters

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The value of the inverse function f-¹ (3) is (e) 11

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

f(x) = x - 8

To calculate the inverse value at f-¹ (3)

We set the value to 3

using the above as a guide, we have the following:

x - 8 = 3

Evaluate the like terms

x = 11

Hence, the value of the inverse function is (e) 11

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Complete question

if f(x) = x - 8, what is the value of f-¹ (3)?

Answer:

The price would be 84.8

The price of jersey will be $7.5