−−→AB=(xy)

What values should
x
and
y
take?

Answer:

-8.6363 the proper answer (estimated) is -8.66

Answer:

-7.37 is the answer for this.

the centroid is approximately (0.0194, 4.053).

To find the centroid of the region bounded by the given curves y = 6 sin(5x), y = 6 cos(5x), x = 0, and x = π/20, we will need to follow these steps:

Step 1: Find the intersection points

6 sin(5x) = 6 cos(5x)

sin(5x) = cos(5x)

tan(5x) = 1

5x = arctan(1)

x = arctan(1) / 5

Step 2: Calculate the area A

A = ∫(6 cos(5x) - 6 sin(5x)) dx from x = 0 to x = π/20

Step 3: Calculate the moments Mx and My

Mx = ∫x(6 cos(5x) - 6 sin(5x)) dx from x = 0 to x = π/20

My = ∫(1/2)[(6 sin(5x))² - (6 cos(5x))²] dx from x = 0 to x = π/20

Step 4: Calculate the centroid coordinates

x(bar) = Mx / A

y(bar) = My / A

After performing the calculations, the centroid coordinates (x(bar), y(bar)) will be: (x(bar), y(bar)) = (0.0574, 0.4794)

To find the centroid of the region bounded by the curves y = 6 sin(5x), y = 6 cos(5x), and x = 0, π/20, we need to use the formulas:

x(bar) = (1/A) ∫(y)(dA)

y(bar) = (1/A) ∫(x)(dA)

where A is the area of the region and dA is an infinitesimal element of the area.

To begin, we need to find the points of intersection of the two curves. Setting them equal, we get:

6 sin(5x) = 6 cos(5x)

tan(5x) = 1

5x = π/4

x = π/20

So the curves intersect at the point (π/20, 6/√2) = (0.1571, 4.2426).

Next, we can use the fact that the region is symmetric about the line x = π/40 to find the area A. We can integrate from 0 to π/40 and multiply by 2:

A = 2 ∫[0,π/40] (6 sin(5x) - 6 cos(5x)) dx

= 2(6/5)(cos(0) - cos(π/8))

= 2(6/5)(1 - √2/2)

= 2.668

Now we can find the centroid:

x(bar) = (1/A) ∫[0,π/40] y (6 sin(5x) - 6 cos(5x)) dx

    = (1/A) ∫[0,π/40] 6 sin(5x) (6 sin(5x) - 6 cos(5x)) dx

    = (1/A) ∫[0,π/40] (36 sin²(5x) - 36 sin(5x) cos(5x)) dx

    = (1/A) [(36/10)(cos(0) - cos(π/8)) - (36/50)(sin(π/4) - sin(0))]

    = 0.0194

y(bar) = (1/A) ∫[0,π/40] x (6 sin(5x) - 6 cos(5x)) dx

    = (1/A) ∫[0,π/40] x (6 sin(5x) - 6 cos(5x)) dx

    = (1/A) ∫[0,π/40] (6x sin(5x) - 6x cos(5x)) dx

    = (1/A) [(1/5)(1 - cos(π/4)) - (1/25)(π/8 - sin(π/4))]

    = 4.053

Therefore, the centroid is approximately (0.0194, 4.053).

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y(x) = tan(x + C) where C is an arbitrary constant of integration. Thus, the equilibrium solutions are y = 1 and y = -1. The non-equilibrium solutions are the values of y that make y' not equal to 0.

y(x) = tan(x + C)

Where C is an arbitrary constant of integration.

The solution y(x) = tan(x + C) is a family of functions indexed by the arbitrary constant C. The constant C cannot be determined from the information given in the problem, and so the general solution contains all possible specific solutions.

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The measure of the central angle is 292°

Angles around a point describes the sum of angles that can be arranged together so that they form a full turn. Angles around a point add to 360 °.

The total sum of angle at a point is 360°. therefore the angle of the minor arc + angle at the major arc is 360°

The angle at the minor arc is 68°

Therefore the measure of the central angle = 360-68

= 292

therefore the angle at the major arc is 292°

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The measure of four angles would be 180 degrees, which is equal to four times 45 degrees, or 180 degrees.

To calculate the measure of four angles, we can use the following steps. First, we need to determine the measure of one angle. In this case, we are given that the measure of one angle is 45 degrees. Second, we need to multiply the measure of one angle by the total number of angles, which in this case is four. This gives us 45 degrees multiplied by four, which equals 180 degrees. Therefore, the measure of four angles is equal to 180 degrees. Third, we can check our answer by adding the measures of all four angles together. If the sum of all four angles is equal to 180 degrees, then our answer is correct. In this case, 45 degrees plus 45 degrees plus 45 degrees plus 45 degrees equals 180 degrees, so our answer is correct.

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Answer:$262.50

Step-by-step explanation:3500x.075=262.5

Answer:

1) On the x-axis, the arm span is plotted. On the y-axis, the height is plotted. It is chosen to be that way because the numbers on that have been assigned on the x-axis increase and decrease in a small amount, while the numbers on the y-axis increase and decrease in a huge amount.

2) (lolz i cant show u my work but i will try my best with explanations even tho ian allat.) So, Using the slope formula, I got a the equation y=x+15. The equation was determined with the formula m=y2-y1/x2-x1. The points that were used included (37,40) and (47,50). After finding the slope, I did the best guess for the y-intercept, which is known as b in y=mx+b.

3) The slope of the line represents the time it takes for the arm span and the height. The y-intercept represents the height that the arm span starts developing or gets bigger.

4) It fits perfectly

5) The data is pretty inconsistent.

6)  About 68-69 inches tall

7)About 71-72 inches wide

yeo u had my brain work after this

Step-by-step explanation:

Answer:

other person is correct

Step-by-step explanation:

The solution of the equations are as follows:

A. x = 11

B. No solution

C. Many solution

D. x = 0

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

The solution of the following variables can be found as follows:

A variable is a number represented with letter in an equation. Hence, let's find the variables of the equations.

x - 4 = 1 / 2 (x + 3)

x - 4 = 1 / 2 x + 3 / 2

x - 1 / 2x = 3 / 2 + 4

1 / 2 x = 11 / 2

cross multiply

2x = 22

x = 22 / 2

x = 11

-4x = 1 / 2 (-8x + 2)

-4x = -4x + 1

-4x + 4x = 1

0 = 1

No solution

3 - 2(-3x + 1) = 6x + 1

3 + 6x - 2 = 6x + 1

1 + 6x = 6x = 1

1 - 1 = 6x - 6x

0 = 0

Many solutions

0.5(x + 3) = -3(x - 0.5)

0.5x + 1.5 = -3x + 1.5

0.5x + 3x = 1.5 - 1.5

3.5x = 0

x = 0

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Answer:

a = -9

Step-by-step explanation:

P(a/3 , 2) is mid-point of Q (-5 , 4) and R (-1 , 0)

a/3 = (-5 + (-1))/2 = -6/2 = -3

a = -9

The eigenvector of matrix A4 is 4096.

The eigenvalue of the matrix A-1 is 1/8.

(A+4I) has an eigenvalue of 12.

40 is the eigenvalue of 5Av.

The collection of scalar values known as the eigenvalues of a matrix are connected to the set of linear equations that are most likely contained within the matrix equations.

The eigenvectors are also known as the characteristic roots.

If the matrix A's eigen vector v is linked to an eigen value.

Av then equals lamda v.

The fact that v is an eigen vector of A with the value eight is assumed.

hence, Av = 8v.

We must determine the eigenvalue of A4.

A4*v equals A3(8v) = 84*v equals 4096v.

As a result, the eigenvalue of A4 is 4096.

Suppose A has an eigenvalue of 8. The eigenvalue of A-1 is thus 1/8.

It is calculated that the eigenvalue of (A+4I) is (A +4In)v = Av + 4v = 8v + 4v =12v.

(A+4I) has an eigenvalue of 12.

The value of 5Av's eigenvalue is 5Av = 5*8v = 40v.

40 is the eigenvalue of 5Av.

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Given:

Value of an investment of $4000 at 11% compounded continuously for 5 years.

Required:

Find the accumulated value of an investment.

Explanation:

We know that

Where, P = Original principal sum

r = Nominal annual interest rate

t = length of time the interest is applied.

Now,

Answer:

Hence, option b is correct.

oopss wrong one my bad

Answer:

m∠QPR = 20°

Step-by-step explanation:

Step 1: Find x

4x + 27 + 9x - 115 = 107

13x - 88 = 107

13x = 195

x = 15

Step 2: Find m∠QPR

9(15) - 115

135 - 115

m∠QPR = 20°

Answer:

28800 square feet

Step-by-step explanation:

We solve this using the Heron's formula

Area of a Triangle = √s(s - a)(s - b)(s - c)

s = a + b + c/2

s = 100 + 580 + 600/2 = 640

Area of the land(Triangle) = √640 × (640 - 100)(640 - 580)(640 - 600)

= √640 × (540) ×( 60) × (40)

= √(829440000)

= 28800 square feet

Therefore, the approximate the area of the land is 28800 square feet.

Given condition will be represented by linear equation 5x+10y=90.

What is linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

Now,

Total trail hiked=90miles

mountain trail=5mile

canal-trail=10mile

x represent the number of times Maria hiked the mountain trail, and  y represent the number of times Maria hiked the canal trail

Therefore,

Linear equation will be 5x+10y=90

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Step-by-step explanation:

f, your friends lunch

f + 3, your lunch

f + f + 3 = 19

2f + 3 = 19

2f = 16

f = 8

Your friends lunch was $8

I hope this helped!!!!

plot the equations x = 6sin(t), y = t² + t, and y = (1/6)x. The curve and tangent will intersect at the point (0,0).

The equation of the tangent to the curve at the point (0,0) can be found by taking the derivative of y with respect to x:
dy/dx = (dy/dt)/(dx/dt)
dy/dx = (2t + 1)/(6cos(t))
When t = 0, dy/dx = 1/6. So the equation of the tangent is y = (1/6)x.
To graph the curve and tangent, we can use a parametric plotter or a graphing calculator. The curve is a sinusoidal shape, with the highest point at (6,1) and the lowest point at (-6,-1). The tangent at (0,0) is a straight line with a slope of 1/6, passing through the origin.
To find the equation of the tangent(s) to the curve at the given point (0,0), we first need to calculate the derivatives dx/dt and dy/dt. Given x = 6sin(t) and y = t² + t, the derivatives are:
dx/dt = 6cos(t)
dy/dt = 2t + 1
Now, find the slope of the tangent(s) by calculating dy/dx:
dy/dx = (dy/dt) / (dx/dt) = (2t + 1) / (6cos(t))
At the given point (0,0), t = 0. So, substitute t = 0 to find the slope:
dy/dx = (2(0) + 1) / (6cos(0)) = 1 / 6
Since the slope is 1/6, the equation of the tangent is y = (1/6)x.
To graph the curve and tangent, plot the equations x = 6sin(t), y = t² + t, and y = (1/6)x. The curve and tangent will intersect at the point (0,0).

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Answer:

lines a and b are parallel because their corresponding angles are congruent.

Step-by-step explanation:

Since there are two angles equal to 110 in the same position, lines a and b are parallel because their corresponding angles are congruent.

The solution to the integral is:

∫ (5x^2 + 2x - 5) / (x^3 - x) dx = 4 ln |x| + ln |x-1| - 5 ln |x+1| + C

The solution to the integral is:

∫ (3x^2 - 20x + 33) / [(2x + 1)(x - 2)^2] dx = (1/3) ln |2x + 1| - (64/25) ln |x - 2| - (49/100)/(x - 2) + C

From the question, we are to evaluate the given integral.

To evaluate the integral ∫ (5x^2 + 2x - 5) / (x^3 - x) dx, we can use partial fraction decomposition.

First, we factor the denominator:

x^3 - x = x(x^2 - 1) = x(x-1)(x+1)

So, we can write:

(5x^2 + 2x - 5) / (x^3 - x) = A/x + B/(x-1) + C/(x+1)

where A, B, and C are constants to be determined.

Multiplying both sides by the denominator (x^3 - x), we get:

5x^2 + 2x - 5 = A(x-1)(x+1) + B(x)(x+1) + C(x)(x-1)

Substituting x = 0, we get:

-5 = -A - B - C

Substituting x = 1, we get:

2 = 2B

So, B = 1.

Substituting x = -1, we get:

-8 = -2A

So, A = 4

Substituting these values back into the equation above and simplifying, we get:

(5x^2 + 2x - 5) / (x^3 - x) = 4/x + 1/(x-1) - 5/(x+1)

Hence, the integral becomes:

∫ [(5x^2 + 2x - 5) / (x^3 - x)] dx = 4 ln |x| + ln |x-1| - 5 ln |x+1| + C

where C is the constant of integration.

To evaluate the integral ∫ (3x^2 - 20x + 33) / [(2x + 1)(x - 2)^2] dx

First, we factor the denominator:

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

So, we can write:

(3x^2 - 20x + 33) / [(2x + 1)(x - 2)^2] = A/(2x + 1) + B/(x - 2) + C/(x - 2)^2

Where A, B, and C are constants to be determined.

Multiplying both sides by the denominator (2x + 1)(x - 2)^2, we get:

3x^2 - 20x + 33 = A(x - 2)^2 + B(2x + 1)(x - 2) + C(2x + 1)

Substituting x = -1/2, we get:

49/4 = 25C

So, C = 49/100.

Substituting x = 2, we get:

3 = 9A

So, A = 1/3.

Substituting these values back into the equation above and simplifying, we get:

(3x^2 - 20x + 33) / [(2x + 1)(x - 2)^2] = 1/(3(2x + 1)) + B/(x - 2) + (49/100)/(x - 2)^2

To find B, we can take the derivative of both sides with respect to x:

d/dx [(3x^2 - 20x + 33) / [(2x + 1)(x - 2)^2]] = d/dx [1/(3(2x + 1)) + B/(x - 2) + (49/100)/(x - 2)^2]

Simplifying and evaluating at x = 2, we get:

-16/25 = -B/4

So, B = 64/25.

Substituting these values back into the equation above and simplifying, we get:

(3x^2 - 20x + 33) / [(2x + 1)(x - 2)^2] = 1/(3(2x + 1)) + (64/25)/(x - 2) + (49/100)/(x - 2)^2

Hence, the integral becomes:

∫ [(3x^2 - 20x + 33) / [(2x + 1)(x - 2)^2]] dx = ∫ [1/(3(2x + 1)) + (64/25)/(x - 2) + (49/100)/(x - 2)^2] dx

= (1/3) ln |2x + 1| - (64/25) ln |x - 2| - (49/100)/(x - 2) + C

Where C is the constant of integration

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If we are interested in the number of customers in the two queues that will form for the counters, we would take all the ordered pairs in the form of (x,y) as sample space.

The suitable sample space for the number of customers in the two queues formed in the post office should be the set of all possible combinations of the number of customers in each queue formed. This can be represented in the form of a set of ordered pairs, in which the first element of the ordered pair would represent the number of customers in the first queue and the second element of the same ordered pair would represent the number of customers in the second queue.

For example, if we consider a maximum of 15 customers in the first queue and a maximum of 20 customers in the second queue, the sample space would consist of all the ordered pairs in the form of (x,y),

where x will represent the possible number of customers in the first queue ranging from 0 to 15

and y will represent the possible number of customers in the second queue ranging from 0 to 20.

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a). The equation will have only one solution, resulting in a line.

b). The equation will have two distinct solutions, leading to the graph displaying two intersecting lines.

We need to consider the equation in the form of a matrix. Let's say we have a matrix A.

a) If det(A) = 0, it means that the determinant of matrix A is equal to zero. In this case, the graph of the equation represented by matrix A will be a line.

This is because a determinant of zero indicates that the matrix is singular, meaning it does not have an inverse. Consequently, the equation will have only one solution, resulting in a line.

b) On the other hand, if det(A) ≠ 0, it means that the determinant of matrix A is not equal to zero. In this scenario, the graph of the equation represented by matrix A will consist of two intersecting lines.

This is because a non-zero determinant signifies that the matrix is nonsingular, implying that it has an inverse. As a result, the equation will have two distinct solutions, leading to the graph displaying two intersecting lines.

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Answer:

Step-by-step explanation:ok so if you want too  do the the root symbl on what

Answer:

Angle 2

Step-by-step explanation:

They are 90 degrees when added together

Answer:

<2

Step-by-step explanation:

Complementary angles add to 90 degrees ( form right angles)

<1 and <2 add to 90 degrees so they are complementary angles

Answer:

Step-by-step explanation:

Substitute and evaluate:

Answer:

\(b = 3 \ \: \: : c = 5 \\ \\ b {}^{2} c - 11 = \\ \\ \\ {3}^{2} \times 5 - 11 = \\ \\ 9 \times 5 - 11 = \\ \\ 45 - 11 = \\ \\ = 34\)

Answer:

49th term = 225

Step-by-step explanation:

The following sequence: -15, -10, -5, 0, -5... is an example of an arithmetic progression.

An arithmetic progression or AP for short, is a sequence in which the difference between successive terms is constant. This difference is known as the common difference, and can be found by subtracting a term by its preceding term.

The general formula, for the nth term of an arithmetic progression, is thus:

Tn = a + (n - 1)d, where a = first term, and d = common difference.

In the sequence: -15, -10, -5, 0, 5...,

a = -15, and d = -10--15 = 5

T49 = -15 + (49 - 1)5 = 225

∴ 49th term = 225

Answer:

No

Step-by-step explanation:

Answer:

Why... Um... ok

Step-by-step explanation:

The BN structure model with more than 10 nodes can be established. The structure refers to the way the variables are related.

A Bayesian Network (BN) is a probabilistic graphical model that illustrates a set of variables and their probabilistic dependencies. A BN structure is made up of nodes and edges. Nodes represent variables, and edges represent the connections between the variables. The BN structure model can be established by using various algorithms, including structure learning and parameter learning.The BN structure with more than 10 nodes is a complex model with numerous variables and their dependencies. The structure's meaning is how the variables are interrelated, allowing us to estimate the probabilities of certain events or scenarios. The nodes in the structure represent various factors that affect the outcome of an event, and the edges between them demonstrate how these factors are related.The BN structure model is used in many fields, including medical diagnosis, fault diagnosis, and decision making.

The Bayesian Network structure model with more than 10 nodes is a powerful tool for analyzing complex systems. It helps to understand the interrelationships between variables and estimate the probabilities of different events or scenarios. This model is useful in various fields and provides insights into many complex phenomena.

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Answer:

B

Step-by-step explanation:

f(x) = -(x+3)(x+1)

The zeros are -3 and -1  so we can eliminate graph a

It is negative so it points down

This eliminates graphs c and d