The approximation of I = *(x – 3)ex* dx by composite Trapezoidal rule with n= 4 is: -25.8387 15.4505 -5.1941 4.7846

Condene the logarithms on the left side by applying the property, ln(a) - ln(b) = ln(a / b):

ln(x - 2) - ln(x - 3) = 1

→   ln((x - 2) / (x - 3)) = 1

Now take the exponential of both sides:

exp(ln((x - 2) / (x - 3))) = exp(1)

(x - 2) / (x - 3) = e

Solve for x :

x - 2 = e (x - 3)

x - 2 = e x - 3e

x - e x = 2 - 3e

(1 - e) x = 2 - 3e

x = (2 - 3e) / (1 - e) ≈ 3.582

Answer:

160

Step-by-step explanation:

If 1/4 of the number is 40, then the number will be 160

Answer:

n = 20

Step-by-step explanation:

in a polygon

interior angle + exterior angle = 180°, so

162° + exterior angle = 180° ( subtract 162° from both sides )

exterior angle = 18°

the sum of the exterior angles of a polygon = 360°

since the polygon is regular then each exterior angle is congruent, then

n = 360° ÷ 18° = 20

Answer:

A number minus the product of

4

and its reciprocal is less than zero. Find the numbers which satisfy this condition.

AAny number less than

−

2

or between

0

and

2

BAny number between

−

2

and

2

CAny number less than

2

DAny number between

0

and

2

Solution

Let the number be x

Then

x

−

(

4

×

1

x

)

≤

0

⇒

x

≤

4

x

⇒

x

2

≤

4

⇒

|

x

|

≤

2

⇒

−

2

≤

x

≤

2

Step-by-step explanation:

The numbers which satisfy this condition is less than 1. it will be 0, - 1, -2, 0, -3, -4, -5, -6, -7..................

let

the number  = x

The reciprocal of 36 = 1 / 36

Therefore, a number minus the product of 36 and it's reciprocal can be express below

Then when it is less than zero, it can be express as follows

The number(x) which satisfy this condition (x - 1 < 0) is less than 1. This means the numbers are 0 to negative infinity.

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Answer:

this question is very difficult

Answer:

ShareChat ਸਤਿ ਦੇ ਨਾਲ ਨਾਲ Happy birthday to make doll small 1 ਸਤਿ ਸਤਿ ਸਤਿ 478figxigxurRyyv ਦੇ ਨਾਲ ਨਾਲ

Answer:

19.488

Step-by-step explanation:

8.12 x 2.4 = 19.488

Answer:

All of the given ordered pairs are correct\included.

Step-by-step explanation:

Answer:

The angle created between the ladder and tree is \(15.5^{0}\).

Step-by-step explanation:

The required sketch is shown in the attachment to this answer.

Applying the appropriate trigonometric function to the question, we have;

Tan θ = \(\frac{Opposite side}{Adjacent side}\)

         = \(\frac{5}{18}\)

         = 0.2777777777

⇒ θ = \(Tan^{-1}\) 0.2777777777

      = 15.5241

      = \(15.5^{0}\)

Therefore, the angle created between the ladder and tree is \(15.5^{0}\).

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

Explanation:

We're told that "Christopher  says that all Rational (Q) numbers are Whole (W)", which makes Christopher not correct. Some rational numbers are whole numbers. For instance, the number 7 = 7/1 is rational and it's a whole number as well.

However something like 1/2 is rational, but it's not a whole number. A whole number doesn't have any fractional or decimal part to it. It can be thought of the number of something.

Comelia is correct because all whole numbers are rational. If x is some whole number, then x = x/1 is rational as well. Replace x with any whole number you want. Her statement does not work in reverse as shown above.

When drawing a Venn diagram, the circle for "whole numbers" will be entirely inside the circle for "rational numbers", and not the other way around.

the series converges for x in the interval: (-1/6, 1/6)

The series ∑(6)^nx^n converges if |x| < 1/6. This can be determined using the ratio test, where we take the limit as n approaches infinity of the absolute value of the ratio of the (n+1)th term to the nth term:

|6(x^(n+1))/(x^n)| = 6|x|

As n approaches infinity, this limit is less than 1 if and only if |x| < 1/6. Therefore, the series converges for all x in the open interval (-1/6, 1/6).

In interval notation, we can write the answer as: (-1/6, 1/6).
The given series is:

∑(6^n)(x^n)

This is a geometric series with a common ratio of 6x. For a geometric series to converge, the absolute value of the common ratio must be less than 1:

|6x| < 1

To find the values of x for which the series converges, we can solve for x in the inequality:

-1 < 6x < 1

Divide by 6:

-1/6 < x < 1/6

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Answer:

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Step-by-step explanation:

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answer:

Buffalo

Step-by-step explanation:

jfvjuvf

Answer:

90

Step-by-step explanation:

its a right angle

Answer:

108

Step-by-step explanation:

240 x 0.45 = 108

In order to find the percentage of something, turn the percentage into a decimal and multiply it by the number. For example 45% becomes 0.45. Then to find the answer you multiply it by 240, finding what 45% of 240 is.

Answer:

108

Step-by-step explanation:

First find 40% of 240 = 96

Then 5% of 240 = 12

Add both of them together

96 + 12 = 108

The inequality which can be used to determine the number of gigabytes is 41.5 + 5x < 50 and the solution is  x < 1.7

The given parameters are

Flat cost = $41.50

Rate = $5 per gigabyte

Budget = Under $50

The equation is represented as:

Total cost = Flat cost + Rate * Number of gigabyte

So, we have

y = 41.5 + 5x

The budget is under 50

So, we have

41.5 + 5x < 50

Subtract 41.5 from both sides

5x < 8.5

Divide by 5

x < 1.7

Hence. the inequality which can be used to determine the number of gigabytes is 41.5 + 5x < 50 and the solution is  x < 1.7

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Answer:

see explanation

Step-by-step explanation:

(a)

sum the parts of the ratio, 3 + 2 + 1 = 6 parts

The sum of the 3 angles in a triangle = 180°  , then

180° ÷ 6 = 30° ← value of 1 part of the ratio , then

3 parts = 3 × 30° = 90°

2 parts = 2 × 30° = 60°

1 part = 30°

The angles in the triangle are 90°, 60°, 30°

Thus the triangle is right angled

(b)

The shortest side is opposite the smallest angle, that is opposite 30°

Using the sine ratio in the right triangle and the exact value

sin30° = \(\frac{1}{2}\)

sin30° = \(\frac{opposite}{hypotenuse}\) = \(\frac{opposite}{25}\) = \(\frac{1}{2}\) ( cross- multiply )

2 × opposite = 25 ( divide both sides by 2 )

opposite = 12.5

That is shortest side is 12.5 cm

The maximum height of the ball is 9.29 feet.

The given function is h(t) = -161t²+32t+9

To find the maximum height of the ball, we need to find the vertex of the quadratic function.

The vertex of the parabola with equation h = ax² + bx + c is given by the point (-b/2a, f(-b/2a)).

In this case, a = -161, b = 32, and c = 9

so the vertex is located at t = -b/2a

= -32/2(-161)

= 0.1 seconds.

Plugging this value into the equation, we get the height

h = -161(0.1)² + 32(0.1) + 9

= 9.29 feet

Therefore, the maximum height of the ball is 9.29 feet.

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The angles that share the same sine value as sin(45°) have terminal sides in second quadrant .

The sine function relates the ratio of the length of the side opposite an acute angle to the length of the hypotenuse of a right triangle. The sine of an angle is always between -1 and 1.

The sine of 45 degrees is √2/2, which is a positive value. Since the sine of an angle is positive in the first and second quadrants, the angles that share the same sine value as sin(45°) must have their terminal sides in the first or second quadrant.

To find the angles that have the same sine value as 45 degrees, we can use the inverse sine function, also known as the arcsine function. The arcsine of √2/2 is 45 degrees or π/4 radians, which is an angle in the first quadrant.

However, since the sine function is periodic, there are infinitely many angles with the same sine value as 45 degrees, and they are all separated by integer multiples of 360 degrees or 2π radians.

Therefore, the angles that share the same sine value as sin(45°) have terminal sides in second quadrant, and can be represented by the formula:

θ = n(360°) ± 45°

or

θ = n(2π) ± π/4

where n is an integer.

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Answer: (  ll ) edgen

Step-by-step explanation:

Answer:

Its is 1,3,4

Step-by-step explanation:

Mark me brainliest please <3

Answer:

(6,7)

Step-by-step explanation:

Let B(x,y).

By the midpoint formula,

So, the coordinates of B are (6,7).

The equation that we can use to find the money f of each pajama set costs at full is 3(x-7)=57

The difference between the selling and cost prices is defined as profit. Loss is defined as the difference between the selling and cost prices.

Profit = Sales Price - Purchase Price In a loss, the cost price exceeds the projected selling price. Profit/Cost Price = 100. Loss% = Loss/Price Cost 100.

Given that,

Mr. Dorsey buys three sets of identical pajamas.

Let the original price of pajama set be x$

Marked price of pajama set be (x-7)

Given that the cost for three pajama sets =$57

Therefore,

(x-7)+(x-7)+(x-7)=57

=3x-21=57

=3(x-7)=57

The equation that we can use to find the money f of each pajama set costs at full is 3(x-7)=57

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The domain is 0 ≤ x ≤ 52. The maximum number of laws that she can mow with 13 gallons is of 52, and the minimum number is of 0.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph touches the y-axis at y = 13, hence the intercept b is given as follows:

b = 13.

When x increases by 20, y decays by 5, hence the slope m is given as follows:

m = -5/20

m = -0.25.

Hence the function is:

y = -0.25x + 13.

From the intercept, the minimum amount can be mowed is given as follows:

0.

The maximum amount is given as follows:

-0.25x + 13 = 0

0.25x = 13

x = 13/0.25

x = 52.

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The complex plane, also known as the Argand plane, is a graphical representation of complex numbers in mathematics. It is a two-dimensional plane with the real axis representing the real part of a complex number and the imaginary axis representing its imaginary part.

1. The set of points in the complex plane that satisfy the relation |z-z1| = |z-z2| forms a circle with its center at the midpoint of z1 and z2, and with a radius equal to half the distance between z1 and z2.

2. The set of points in the complex plane that satisfies the relation 1/z = z forms a pair of lines that intersect at the origin, with slopes equal to 1 and -1. These lines divide the complex plane into four quadrants, and the set of points consists of the complex numbers that lie on the unit circle.

3. The set of points in the complex plane that satisfies the relation Re(z) = 3 forms a vertical line at x=3. All points on this line have the same real part, equal to 3.

4. The set of points in the complex plane that satisfies the relation Re(z) > c (respectively, >=c) forms a half-plane to the right (respectively, including) of the vertical line x=c. All points in this region have real parts greater than (respectively, greater than or equal to) c.

5. The set of points in the complex plane that satisfies the relation Re(az + b) > 0 forms a line that is the image of the real axis under the transformation az + b. The set of points consists of those complex numbers that lie to one side of this line.

6. The set of points in the complex plane that satisfy the relation |z| = Re(z) + 1 forms a hyperbola. The foci of the hyperbola are on the real axis, at x = -1 and x = 1.

7. The set of points in the complex plane that satisfies the relation Im(z) = c forms a horizontal line at y=c. All points on this line have the same imaginary part, equal to c.

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Answer: It has 13 sides

Step-by-step explanation:

Answer:

Zero Point

Step-by-step explanation:

The distance between 2 endpoints on a coordinate grid can be calculated using the following formula;

The correct answer therefore is option D;

c^2= 16 + 144

Answer:

rotation 90° anticlockwise centre 4,3.

Answer:

x = - 1

Step-by-step explanation:

I hope this will help you

Answer:

-5x-24

Step-by-step explanation:

3(2x-8)-11x

Use distributive property.

6x-24-11x.

Combine like terms.

6x-11x-24=-5x-24

-5x-24

Hope this helps!

If not, I am sorry.

Answer:

-5x - 24

Step-by-step explanation:

3(2x − 8) – 11x =

Distribute the 3, then combine like terms.

= 6x - 24 - 11x

= -5x - 24

Yes the statement that is assume that an is a symmetric matrix. If v and u are eigenvectors of the same matrix with eigenvalues of 3 and 10, respectively, then u must be orthogonal to v is true.

A scalar matrix is ​​a type of diagonal matrix. Diagonal elements of a scalar matrix are equal or equal. If the elements of a scalar matrix are all ones, then it is an identity matrix.

A square matrix A = [aij]n x n is called a scalar matrix.

aij = 0 if i ≠ j

aij = k (for i = j), for some constant k

Facts about scalar matrix :

Eigenvectors are a special set of vectors associated with a linear system of equations

If suppose u is an eigenvector of a corresponding to eigenvalue 3, v is an eigenvector of a corresponding to eigenvalue 10, then u must be orthogonal to v .

u.v=0.

So therefore the statement is true for the given data.

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