twenty-five soldiers standing side-by-side form a row 22.5 m wide. how many soldiers are marching in a parade when there are 40 rows each 8.1 m wide?

The radius of convergence R of the Taylor series is 2

The term convergence in math is defined as the process of a sequence or other function converging to a limit in a metric space.

Here we have know that the expression is written as,

=> f(x)=ln x, c=2.

By using the Taylor series formula we can write the expression like the following,

=> f(x) = ln(2) + ∑ (-1)ⁿ⁺¹ / n (2ⁿ)

Then the above power series will converge if and only if:

[tex]= > \lim_{n \to \infty} |\frac{-1}{(1+\frac{1}{n} )\times2}\times(x-2) | < 1[/tex]

When we simplify this one then we get,

=> |x-2/2| < 1

Then the value of x lies between 0 to 4.

And the Radius of convergent is 2.

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When the larger number is divided by the smaller, the quotient is 2 and the remainder is 4 then the two numbers are 18 and 7.

The first number would be x, leaving the other number to be x+11 (which would make it the bigger number) the quotient is:

[tex]$\frac{x+11}{x}[/tex]

Since it had a remainder of 4, it meant that the numerator was 4 more than having the divisor going in evenly ( had 4 left over) or it would have gone in exactly 2 times

It will take away 4 from the number being divided into (for it was just 4 too big for the divisor going in evenly) making

[tex]$\frac{x+11-4}{x}=2$$[/tex]

combine on top

[tex]$\frac{x+7}{x}=2$$[/tex]

Multiply both sides by x so it cancels on the left side with the denominator, giving

x + 7 = 2 x

subtract the x from both sides leaving

7 = x

So 7 was the first number and 18(x+11) is the second number

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Answer:

see below

Step-by-step explanation:

The circumference of a circle is 12πcm. = 2πr

so radius =6

diameter =2r =12

area = πr² =36π

The radius of the circle be 6 cm and diameter be the double of radius, diameter be 12 cm then the area of the circle be 36π cm².

A circle is round with no sides or corners. Circles can be big and small. Circles can be any color. Being round with no sides or corners is the defining attribute of a circle.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”.

A circle is simply a round shape that has no corners or line segments. It is a closed curve shape in geometry. The points of circle are at a fixed distance from the center.

Let r be the radius of a circle, then its circumference of the circle be [tex]$2 \pi r$[/tex] and area of the circle be [tex]$\pi r^2$[/tex].

Circumference exists given to be [tex]$12 \pi$[/tex], we get

[tex]$$2 \pi r=12 \pi$$[/tex]

simplifying the above equation, we get

[tex]$r=\frac{12 \pi}{2 \pi}[/tex] = 6 cm

The radius of the circle be 6 cm and diameter be the double of radius, diameter exists 2 × 6 = 12 cm.

Area of the circle be [tex]$\pi \times 6^2=36 \pi \mathrm{cm}^2$[/tex].

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The rate of change of the area of square with side 10 and rate of change of side is -3 per second is -60.

We have, For all sides of a square is

Rate of changing per second = - 3

Let "x" be side of square. So, x = 10. We have to determine the rate of change of the area. So, Rate of change in side ,x per unit time = dx/dt = -3 . As we know, the area of a polygon is equals to total space occupied by shape or polygon.

So, Area of square, A = side × side . In this case, Area of square , A = x² --(1)

Differentiating equation (1) with respect to time "t",

=> dA/dt = d/dt ( x²)

=> dA/dt = 2x dx/dt ( using derivative formula )

here,dx/dt --> rate of changing of side of square

Substitute the value of dx/dt = -3 in above derivative, dA/dt = 2x dx/dt

=> dA/dt = 2x (-3)

=> dA/dt = 2×(10)(-3) ( since side, x = 10)

=> dA/dt = -60

Hence, required rate of change of area is -60.

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{17n + 9 - 47n}[/tex]

[tex]\huge\textbf{COMBINE the LIKE TERMS}[/tex]

[tex]\mathsf{= (17n - 47n) + (9)}[/tex]

[tex]\mathsf{= 17n - 47n + 9}[/tex]

[tex]\mathsf{= -30n + 9}[/tex]

[tex]\huge\text{Therefore, your answer SHOULD be:}[/tex]
[tex]\huge\boxed{\mathsf{-30n + 9}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Your lack of cogscitis has a previous probability of 0.5 according to Dr. B.

Prior probability quantifies how likely a theory is to be correct before any supporting data are taken into account. Your lack of cognitis has a previous probability of 0.5 according to Dr. B. This means that according to Doctor B, there is a 50/50 likelihood that you do not have cognitis before any supporting evidence is considered. This impartial viewpoint is frequently employed in scientific research and medical diagnostics. Prior probability is a crucial component of Bayesian inference, which is used to update a hypothesis' probability after all available data has been considered. Prior probability can help scientists and medical practitioners make better decisions.

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The measure of arc KT be 49 and the measure of arc LN be 17 then the measure of ∠M be 30°.

Simply put, the arc measure is the diameter of the arc relative to the circle. Since they both describe the same thing, it is literally the same as the central angle. The arc length is what you were presumably thinking about because it refers to both the length and the distance of the arc.

Divide the arc length by the circle's circumference, then multiply the result by 360 degrees to find the angle's measurement.

Any straight line connecting two places is considered an arc in general. The arc length is the measurement of an arc's length. An ordered pair of adjacent vertices is referred to as a graph arc in a graph. Any section of the circle's circumference (other than the complete curve) is referred to as an arc.

Let the measure of arc KT = 49 and the measure of arc LN = 17

measure of ∠M = 30°.

Therefore, the measure of ∠M be 30°.

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Answer:

85%

Step-by-step explanation:

17 divided by 20, times 100 = 85%

So, 85% of the sheep had black wool.

11101001 can be written as 101001 x 101 + 1. To divide 1101001 by 101, the first step is to divide 101001 by 101 without the remainder.

The result of this division is 1000. Then, take the remainder of 1 and place it next to the 1000 to get 10001. Divide 10001 by 101. The result of this division is 99. Take the remainder of 0 and place it next to the 99 to get 990. Divide 990 by 101. The result of this division is 9. Take the remainder of 9 and place it next to the 9 to get 99. Divide 99 by 101. The result of this division is 0. Take the remainder of 99 and place it next to the 0 to get 990. Divide 990 by 101. The result of this division is 9. The answer is 1101.11.

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Answer:

yes youre right its 1

Step-by-step explanation:

2% of 50 is

2/100 = x/50

it simplifies to 1/50 = x/50

so x = 1

Answer:

1

Step-by-step explanation:

2%=2/100=0.02

of means multiply

0.02*50=1

u were correct

Assuming the location has a diurnal tide type, the angler should plan to arrive to start fishing at 12:15 pm on Saturday, two days after the high tide on Thursday.

This is because with a diurnal tide type, the high tide occurs at the same time each day, so the angler can expect the high tide to occur at the same time on Saturday as it did on Thursday.

A diurnal tide type is a type of tidal pattern where there is one high tide and one low tide per day. This type of tide is most commonly seen in areas with small and shallow bodies of water, such as bays and estuaries. In diurnal tidal systems, the times of high and low tide usually occur at the same time each day. The height of the tide also usually remains relatively constant over time.

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A linear inequality that forms a system of linear inequalities with y > x - 1, whose solution set is the empty set, is y < x - 1.

When taken together, y > x - 1 and y < x - 1 form a system of linear inequalities, but these two inequalities are contradictory and cannot both be true at the same time. Therefore, the solution set of this system is the empty set, meaning there are no solutions that satisfy both inequalities.

To explain in detail, consider the line y = x - 1. When x = 1, y = 0. If y > x - 1, then y must be greater than 0 when x = 1. But if y < x - 1, then y must be less than 0 when x = 1. These two inequalities cannot both be true at the same time, so the solution set of the system is the empty set.

This shows that when two contradictory linear inequalities are taken together, their solution set is the empty set. In this case, y > x - 1 and y < x - 1 are contradictory, and so their solution set is the empty set.

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--The given question is incomplete; the complete question is

"Write a linear inequality that, when taken with y > x - 1, forms a system of linear inequalities whose solution set is the empty set."

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{ORIGINAL equation:}[/tex]
[tex]\mathsf{\dfrac{2}{3}y - 2(\dfrac{4}{3}y + z)}[/tex]

[tex]\huge\textbf{DISTRIBUTE \boxed{\rm{\bf -2}} within the}\\\\\huge\textbf{parentheses:}[/tex]

[tex]\mathsf{\dfrac{2}{3}y - 2(\dfrac{4}{3}y + z)}[/tex]

[tex]\mathsf{= \dfrac{2}{3}y - 2(\dfrac{4}{3}y) - 2(z)}[/tex]

[tex]\mathsf{= \dfrac{2}{3}y - \dfrac{8}{3}y - 2z}[/tex]

[tex]\huge\textbf{COMBINE the like terms:}[/tex]

[tex]\mathsf{= (\dfrac{2}{3}y - \dfrac{8}{3}y) - (2z)}[/tex]

[tex]\mathsf{= \dfrac{2}{3}y - \dfrac{8}{3}y - 2z}[/tex]

[tex]\mathsf{-2y - 2z}[/tex]

[tex]\huge\text{Therefore your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{-2y - 2z}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

this is hard

Step-by-step explanation:

I think its 3.89 p/s

The probability that a person who passes through the security system is without any security hazards is 0.99.

Let A be the event that the person passed through the checkpoint

Let X be the event of a person being a hazard

Now, according to the problem,

P(X) = 0.023

P(not A/not X) = 0.015

P(A/X) = 0.01

We need to find P(A/not X)

Now we know that the conditional probability P(Q/R)

= P(Q ∩ R) / P(R)

We need to find P(A/not X) we need to know P(A ∩ not X) and P(not X)

We know that

P(Q/notR) = 1 - P(Q/R)

Hence P(A/ not X) = 1 - p(A/X)

= 1 - 0.01

= 0.99

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En 3 años Carlos ganará $12,724 de intereses.

If Carlos deposits $8000 at a monthly interest rate of 2%, he will earn 1440 in interest over the course of three years. This amount is calculated by first multiplying the amount of the deposit (8000) by the interest rate (2%) to determine the amount of interest earned each month (160).

La formula para calcular el interes compuesto es:

I = P(1+r/n)^(nt)

Donde:

I = Interes

P = Cantidad inicial

r = Tasa de interes

n = Numero de periodos por año

t = Numero de periodos

En este caso:

I = 8000 (1+ 0.02/12)^(12 x 3)

I = 8000 (1.0016667)^36

I = 8000 (1.5905350)

I = 12,724

En 3 años Carlos ganará $12,724 de intereses.

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Answer:

A

Step-by-step explanation:

Mateo has a balance of 1,460.89 dollars, and he knows that check 354 was for 25.79 dollars. Therefore, to find the amount, in dollars, X, of check 353, Mateo needs to subtract the known amount of check 354 from his current balance.

So, the equation that can be used to find the amount of check 353 is:

1,460.89 - 25.79 = X

Thus the correct answer is:

A. 1,225.70 + x = 1,460.89

The point (3, -2) can be classified as a local maximum of the polynomial function f(x).

What is polynomial ?

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

In this case, the values f(3) = -2, f'(3) = 0, and f''(3) = -2 give us information about the graph of the polynomial function f(x) at the point x = 3.

First, f(3) = -2 means that the y-coordinate of the point (3, -2) is -2, so the point (3, -2) is on the graph of f(x).

Second, f'(3) = 0 means that the slope of the tangent line to the graph of f(x) at the point x = 3 is 0. This means that at x = 3, the graph of f(x) has a horizontal tangent line, which is a sign of a local maximum or minimum of the function.

Third, f''(3) = -2 means that the second derivative of f(x) at x = 3 is -2. This means that the graph of f(x) is concave down at x = 3. A concave down graph means that the function is decreasing at x = 3, so the point (3, -2) is a local maximum of the function.

Therefore, the point (3, -2) can be classified as a local maximum of the polynomial function f(x).

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In finance, a dividend is a portion of a company's profits that is distributed to its shareholders. Dividends can be paid in cash or in the form of additional shares of stock. It is a way for a company to return some of its profits to its shareholders.

The information provided for Windwept, Inc. for 2017 includes its income statement and balance sheet. The income statement shows the company's net sales, cost of goods sold, depreciation, earnings before interest and taxes, interest paid, taxable income, taxes, and net income.

The balance sheet provides information on the company's assets, liabilities, and equity, including cash, accounts receivable, inventory, and long-term debt.

However, the information provided does not include the total amount of dividends paid by the company. Therefore, it is not possible to determine the total dividends paid by Windwept, Inc. for 2017 based on the information given.

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Answer:

[tex]+, -, \times[/tex]

Step-by-step explanation:

This is one of those questions where trial and error are used.

Trying out different combos until I get the right answer:

[tex]8-6+4\times2=10[/tex]

[tex]8+6-4\times2=6[/tex]

Nice! The correct answer is [tex]+, -, \times[/tex]

The linear equation of f(n) would be -3/2 n + 4.

What is linear function f(n) ?

A linear function is one with the equation f(x) = ax + b, where a and b are real values. The gradient of the line is represented by a, while the y-axis intercept is represented by b. (which is sometimes called the vertical intercept).

A linear equation can be represented as f(n) = mn + b, where m is the slope and b is the y-intercept.

To find m and b, we can use two points from the table.

Let's use the points (6, -1) and (4, 2).

The slope, m, can be found using the formula:

m = (f(n2) - f(n1)) / (n2 - n1)

Plugging in the values from the points, we get:

m = (2 - (-1)) / (4 - 6)

m = 3 / (-2)

m = -3/2

Now that we have m, we can use one of the points and the slope to find b. Let's use the point (6, -1).

f(n) = mn + b

-1 = (-3/2)(6) + b

Solving for b, we get:

b = -1 + (3)(3) = 4

So the linear equation of f(n) is:

f(n) = -3/2 n + 4

Thus, The linear equation of f(n) would be -3/2 n + 4.

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The probability of the tires purchased being made in the United States, given that the purchaser has tires balanced immediately and requesting front-end alignment is P(A|B∩C) = 0.676.

P(A∩B∩C) = P(A) * P(B|A) * P(C|A∩B) = 0.75 * 0.9 * 0.8 = 0.504

P(B∩C) = P(B|A) * P(C|A∩B) + P(B|A') * P(C|A'∩B) = 0.9 * 0.8 + 0.8 * 0.6 = 0.744

P(C) = P(C|A) * P(A) + P(C|A') * P(A') = 0.8 * 0.75 + 0.7 * 0.25 = 0.725

P(A|B∩C) = P(A∩B∩C) / P(B∩C) = 0.504 / 0.744 = 0.676

The probability of customers purchasing a full set of tires at a particular tire store, and the events of the tires purchased being made in the United States, the purchaser having tires balanced immediately, and the purchaser requesting front-end alignment, is P(A∩B∩C) = 0.504. The probability of the purchaser having tires balanced immediately and requesting front-end alignment is P(B∩C) = 0.744. The probability of the purchaser requesting front-end alignment is P(C) = 0.725. The probability of the tires purchased being made in the United States, given that the purchaser has tires balanced immediately and requesting front-end alignment is P(A|B∩C) = 0.676.

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The number of non-zero values in a tridiagonal matrix increases with the size of the matrix.

A tridiagonal matrix is a type of matrix that consists of three diagonals. The main diagonal is the diagonal that runs from the top left corner of the matrix to the bottom right corner. The secondary diagonal is the diagonal that runs from the top right corner of the matrix to the bottom left corner. The third diagonal is the diagonal that runs from the top left corner of the matrix to the bottom right corner, one row above the main diagonal. The number of non-zero values in a tridiagonal matrix of size n x n can be calculated using the formula: Nnz = 2n + (n-2). For example, for a tridiagonal matrix of size 4 x 4, the number of non-zero values would be 2 x 4 + (4-2) = 10. In general, the number of non-zero values in a tridiagonal matrix increases with the size of the matrix.

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If the distance to a star was suddenly cut in half, it would appear four times brighter.

The brightness of a star is directly proportional to the inverse square of its distance from us. This means that if the distance to a star is halved, its brightness will increase by a factor of four.

The relationship between brightness and distance can be expressed as follows:

B = k / d^2

where B is the brightness, k is a constant of proportionality, and d is the distance.

If the distance to the star is halved, it can be expressed as:

d' = d / 2

Plugging this into the equation for brightness, we get:

B' = k / (d / 2)^2

Expanding this and simplifying, we get:

B' = 4 * k / d^2

Since k is a constant, it cancels out and we are left with:

B' = 4 * B

This means that if the distance to a star was suddenly cut in half, it would appear four times brighter. In astronomical terms, this is equivalent to an increase of 2 magnitudes on the logarithmic magnitude scale.

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There are three 6- digit numbers divisible by 36.

To decide if a fraction has to be decreased, dividesibility rules can be applied. The patterns that appear when we list the multiples of any number serve as the foundation for the rules.

Given:

We have 225A7B

Now, we will substitute A and B 0, 1 , 2.....9 to get the combination.

Also, A number is divisible by 36 if the number is divisible by 4 and 9.

So, take A=0 and B= 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

225070 is not divisible by 4 thus not divisible by 36.

and, 225071 is not divisible by 4 thus not divisible by 36.

and, 225072 is divisible by 4 and 9 thus divisible by 36.

and, 225073 is not divisible by 4 thus not divisible by 36.

and, 225074 is not divisible by 4 thus not divisible by 36.

and, 225075 is not divisible by 4 thus not divisible by 36.

and, 225076 is not divisible by 4 thus not divisible by 36.

and, 225077 is not divisible by 4 thus not divisible by 36.

and, 225078 is not divisible by 4 thus not divisible by 36.

and, 225079 is not divisible by 4 thus not divisible by 36.

Similarly, we can find 225576 & 225972 divisible by 36.

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The area of the region which is common after rotation of 45 degrees between the two squares is equal to 7.46 cm² and area of the blue region which is swept out by interior region is 1.5442cm².

Measure of the side of the square = 3cm

Degrees of rotation of the square by keeping center fixed = 45 degrees

The region which is swept out by the interior of the square

= Four isosceles right triangles formed at the corners

Sides of the each  isosceles right triangle be 's'

Hypotenuse = s√2

Side of the square ABCD is :

s + s√2 + s = 3

⇒ s = 3 / ( 2 + √2 )

⇒ s= 0.8787

Area of the isosceles right triangle formed at the corner

= s² /2

= 0.8787² /2

Area of four triangles = 4 (0.8787² /2)

                                   = 1.5442cm²

Area of the left octagon

= Area of square ABCD - Area of four triangles at the corners

= 3² - 1.5442

= 9 - 1.5442

= 7.456 cm²

=7.46 cm²

Therefore, the area of the region swept out of the square is 1.5442cm² and the area of the region common between two squares is 7.46cm².

The given question is incomplete, I answer the question in general according to my knowledge:

A square ABCD, with sides of 3 cm, is rotated by 45 degrees keeping its center fixed to result into another square, PQRS. What is the area of the region common to the two squares? what is the area of the blue region swept out by the interior of the square shown below?

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-3.6<- 10/3 is the answer for above question. -3.6 is lesser than -10/3.

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