helpkkkkkkkkkkkbbvgyudu​

On solving the provided question, we can say that by permutation 26 possible letters  x  10 possible digits  = 260 possible plates

The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order. like in the case of

26 possible letters  x  10 possible digits  =

26 x 10   =

260 possible plates

To know more about permutation visit:

https://brainly.com/question/1216161

#SPJ4

y= ax²x⁻¹/√b + cxⁿ Let's solve this. It matches the given equation. The area under the function is verified.

Now, we have to integrate y by variable x.

First, take out the constants, a and b from the integral:y = a(x²/√b) * x⁻¹ + c(xⁿ/√b) ... equation [1]

Here, we have two terms to integrate.

Let's integrate the first term of equation [1]:

I₁ = ∫a(x²/√b) * x⁻¹ dx= a/√b ∫x * x⁻¹ dx= a/√b ∫dx= a/√b * x + C ... equation [2]

Next, let's integrate the second term of equation [1]:

I₂ = ∫c(xⁿ/√b) dx= c/√b ∫xⁿ dx= c/√b * (xⁿ⁺¹/(n + 1)) + C ... equation [3]

On integrating, we obtain equations [2] and [3].

Now, let's substitute these values in the given equation:y = a/√b * x + C + c/√b * (xⁿ⁺¹/(n + 1)) + C ... equation [4]

y = a/√b * x + c/√b * (xⁿ⁺¹/(n + 1)) + 2C ... equation [5]

Let's consider equation [5] and verify if it matches the given equation;

z = 2a/2ne(-2b/3c + 1/3xⁿ) * √b + cxⁿ= a/√b * x + c/√b * (xⁿ⁺¹/(n + 1)) + 2C ... equation [5]

It matches the given equation.Hence, the area under the function is verified.

To know more about integral, visit:

https://brainly.com/question/31433890

#SPJ11

To draw the angle�=tan⁡−1(�4)u=tan−1(4x​) in the first quadrant, follow these steps:

Draw the positive x-axis and the positive y-axis intersecting at the origin (0, 0).

Starting from the positive x-axis, draw a line at an angle of�u with respect to the x-axis.

To find the angle�u, consider the ratio�44x

​as the opposite side over the adjacent side in a right triangle.

From the origin, measure a vertical distance of�x units and a horizontal distance of 4 units to create the right triangle.

Connect the endpoint of the horizontal line to the endpoint of the vertical line to form the hypotenuse of the right triangle.

The angle�u will be formed between the positive x-axis and the hypotenuse of the right triangle. Make sure the angle is in the first quadrant, which means it should be acute and between 0 and 90 degrees.

By following these steps, you can draw the angle

�=tan⁡−1(�4) u=tan−1(4x​) in the first quadrant

To know more about quadrant, visit :

https://brainly.com/question/29296837

#SPJ11

Answer:

4. 8.4×10^5

Step-by-step explanation:

The exponent of ×10 is the amount of places that you move the decimal. When the exponent is negative, you move the decimal to the left and when it is positive, you move it to the right. Number 1 and 2 are wrong right away because they move the decimal to the left which is not what we want. Number 3 is wrong because there are not enough 0's when we move the decimal. So, option 4 is correct. I hope this helps!

7. The percentage of the seats taken by 18,460 attendees out of 34,000 capacity spectators of the Bidvest Wanderers Cricket Stadium is 54%.

8. If a bus can seat 60 passengers and some passengers got off, leaving 0.4 of the seats occupied, the number of passengers who got off the bus is 36, representing 60 percent.

9a) The population that speak Mandarin more than English is 526,200,000.

9b) If the world population is approximately 7 000 000 000 (7 billion), the percentage of the entire population that speaks Spanish is 5.00%.

The percentage represents the ratio of one value compared to another.

The percentage is determined as the quotient from dividing the numerator by the denominator and multiplying by 100.

7) The spectator capacity of the Bidvest Wanderers Cricket Stadium = 34,000

Attendees at a one-day match = 18,460

Percentage of seats taken = 54.3% (18,460/34,000 x 100)

8) Bus passenger capacity = 60

The percentage of seats occupied = 0.4

The number of passengers who got off the bus = 36 (60 x (1 - 0.4)

9) Most Commonly Spoken World Languages:

Mandarin 867 200 000 people

English 341 000 000 people

Spanish 350 000 000 people.

a) The more Mandarin speakers than English = 526,200,000 (867,200,000 - 341,000,000)

b) World Population = 7 billion

Percentage of Spanish speakers to World Population = 5.00% (350,000,000/7,000,000,000 x 100)

Learn more about percentages at https://brainly.com/question/24877689

#SPJ1

To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

To know more about depreciation, refer here:

https://brainly.com/question/30531944

#SPJ11

The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

learn more about gain here:

https://brainly.com/question/31218742

#SPJ11

Therefore, after using three-fourths of the rice in the box, 4 and 1/4 cups of rice remained.

To find the number of cups of rice that remained in the box, we need to calculate three-fourths (3/4) of the total amount of rice in the box.

The total amount of rice in the box is given as five and two-thirds cups. To work with a fraction, we can convert the mixed number to an improper fraction:

5 and 2/3 = (5 * 3 + 2) / 3 = 17/3 cups

Now, we can find three-fourths (3/4) of 17/3:

(3/4) * (17/3) = (3 * 17) / (4 * 3) = 51/12 = 4 and 3/12 = 4 and 1/4 cups

Therefore, after using three-fourths of the rice in the box, 4 and 1/4 cups of rice remained.

Learn more about three-fourths here

https://brainly.com/question/16953584

#SPJ11

A parametrization for a circle of radius 6 with center (-4,-2,-5) in a plane parallel to the xy plane:  x = -4 + 6cos(t) : y = -2 + 6sin(t) ; z = -5

The plane is parallel to the xy plane, its normal vector will be (0,0,1). We can use this normal vector and the center of the circle to find the equation of the plane:

0(x+4) + 0(y+2) + 1(z+5) = 0
z = -5

Now we need to find a parametrization for the circle. We can do this by using the equation of the circle in standard form:

(x+4)^2 + (y+2)^2 = 36

We can rewrite this equation in terms of x and y:

x^2 + 8x + 16 + y^2 + 4y + 4 = 36
x^2 + 8x + y^2 + 4y - 16 = 0

Completing the square, we get:

(x+4)^2 - 16 + (y+2)^2 - 4 - 16 = 0
(x+4)^2 + (y+2)^2 = 36

This is the equation of a circle with center (-4,-2) and radius 6. To write our parameterization, we can use the fact that the x component includes a positive cosine. We can choose our parameter t to be the angle in radians that the point on the circle makes with the positive x-axis. Then our parameterization is:

x = -4 + 6cos(t)
y = -2 + 6sin(t)
z = -5

This parameterization traces out the circle as t varies from 0 to 2π.

Know more about the parametrization

https://brainly.com/question/20300313

#SPJ11

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

Learn more about alternate interior angles at

https://brainly.com/question/20344743

#SPJ1

Answer:

3.25

Step-by-step explanation:

I am glad to help you

Answer:

Parallelogram

Step-by-step explanation:

a quadrilateral (4 sides figure) whose opposite sides are parallel.  The opposite sides have the same length and opposite angles are equal.

Helping in the name of Jesus.

Answer:

A square root of a number is a value that, when multiplied by itself, gives the number.

Example: 4 × 4 = 16, so a square root of 16 is 4.

The symbol for a square root is √ which always means the positive square root.

Example: √36 = 6 (because 6 x 6 = 36)

let x be the temperature. we get that:

Answer:

y ≤ 11

Step-by-step explanation:

7y ≤ 33 + 4y

3y ≤ 33

y ≤ 11

So, the answer is y ≤ 11

The z-coordinate of the mass center of the homogeneous paraboloid of revolution shown is (12/5) units.

The determination of the z-coordinate of the mass center of the homogeneous paraboloid of revolution requires a long answer.

Firstly, we need to define the mass density of the paraboloid. Since it is a homogeneous object, its mass density is constant throughout its volume.

Let us denote this density as ρ.

Next, we need to find the volume of the paraboloid.

The volume of a paraboloid of revolution with a height h and a base radius r is given by V = (π/2) * r^2 * h/3.

In this case, the height of the paraboloid is 4 units and the radius of the base is 2 units. Thus, the volume of the paraboloid is:
V = (π/2) * (2)^2 * 4/3 = (8π/3) units^3

Now, we can find the mass of the paraboloid by multiplying its volume by its density:
M = ρ * V = ρ * (8π/3) units^3

The next step is to find the x and y coordinates of the mass center of the paraboloid.

We can do this by using double integrals:
x = (1/M) * ∬(paraboloid) x * ρ * dV
y = (1/M) * ∬(paraboloid) y * ρ * dV

Since the paraboloid is symmetric about the z-axis, we know that its mass center will lie on this axis, and thus, its x and y coordinates will be zero.

Finally, we need to find the z-coordinate of the mass center. We can do this by using the same double integral, but this time we integrate over the z-axis:
z = (1/M) * ∬(paraboloid) z * ρ * dV

To set up the double integral, we can use cylindrical coordinates, with ρ ranging from 0 to 2 and θ ranging from 0 to 2π.

The z-coordinate of any point on the paraboloid is given by z = (1/16) * (x^2 + y^2), so we can substitute this into the double integral:
z = (1/M) * ∫(0 to 2π) ∫(0 to 2) ∫(0 to (1/16)*(ρ^2)) ρ * z * ρ * ρ * dρ dθ dz

After evaluating this integral, we get:
z = (3/5) * h = (12/5) units

Therefore, the z-coordinate of the mass center of the homogeneous paraboloid of revolution shown is (12/5) units.

Know more about the z-coordinate here:

https://brainly.com/question/31674902

#SPJ11

There are infinitely many possible solutions to a continuous linear function graph or equation.

A constant rate of change here in the coordinate plane describes a straight line. As an illustration, the equation y = 3x – 2 depicts a linear function since it is a straight line in the coordinate plane. This function may be expressed as f(x) = 3x - 2 since y can be substituted with f(x).

An unlimited number of solutions exist for a linear function. Therefore, we may replace the domain with an endless amount of values.

A table lists all of the possible solutions.

All of the solutions are represented by an equation or graph.

To know more about Linear function visit:

https://brainly.com/question/29205018

#SPJ1

Answer:

A:y=3x-10

Step-by-step explanation: the rise and run is 6/2 and the y intercept is -10

Answer:

they are corresponding angles, x=7

Step-by-step explanation:

75=11x-2

77=11x

x=7

Answer:

Angle F ~ Angle T. FG ~ ST. FE ~ TR.

Step-by-step explanation:

Answer:

<f=<t FG=TS FE=TR

Step-by-step explanation:

hope this helps

Answer:

187.5% increase

Step-by-step explanation:

Percent change formula: \(\frac{x_{2}-x_{1}}{x_{1}}\)

Initially, the program had 8 members and ended with 15 so \(\frac{15-8}{8}=\frac{7}{8}=0.875=87.5\)

Using the relation between velocity, distance and time, it is found that she traveled 15 seconds at 10 m/s and 7 seconds at 50 m/s.

Velocity is distance divided by time, that is:

v = d/t.

For the first part, we have that she cycled a distance of d m in t seconds, at a velocity of 10 m/s, hence:

10 = d/t

d = 10t.

For the second part, we have that she cycled a distance of 500 - d meters, in 22 - t seconds, at a velocity of 50 m/s, hence:

50 = (500 - d)/(22 - t).

Since d = 10t, and applying cross multiplication:

500 - 10t = 50(22 - t)

500 - 10t = 1100 - 50t

40t = 600

t = 600/40

t = 15.

22 - t = 22 - 15 = 7, hence:

She traveled 15 seconds at 10 m/s and 7 seconds at 50 m/s.

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569

#SPJ1

Answer:

Step-by-step explanation:

$425

Answer:

$525

Step-by-step explanation:

If it is 50 per hour, multiply 50 by 10 which equals 500. Since he charges 25 for a call, add that amount to 500, which would be 525.

The rounded value of 5,672,874,627 is 5,673,000,000

What is a rounded value?

When a number is rounded, its value is kept relatively constant while being made easier. The outcome is simpler to use but less precise. Since 73 is closer to 70 than to 80, it is 70 when rounded to the nearest ten. But 76 increases to 80.

5,672,874,627

2 is in the million column

5,672,874,627

The nearest million could be 5,672,000,000 or 5,673,000,000.

To round to the nearest million, look at the digit in the column to the right, the hundred thousands.

5,672,874,627

The number in the hundred thousands column is 8.

The rule is, if the number is 5 or more, round up

5,673,000,000

Therefore, the rounded value of 5,672,874,627 is 5,673,000,000

To learn more about rounded value from given link

https://brainly.com/question/27207159

#SPJ9

Answer:

1089

Step-by-step explanation:

by multiplying the 2 numbers in any order until 4 digits are obtained.

3 × 11 = 33

33 × 3 = 99

99 × 11 = 1089 ← divisible by 3 and 11

Answer:

(-4)

Step-by-step explanation:

i believe that the answer

Explanation

We are given a triangle

and then asked to determine the value of x

To do so, we know that the total angles in a triangle are 180 degrees

Thus

The value of x is 41 degrees

The width for maximum area will be 40 metres.

Given,Simon has 160 metres of fencing to build a rectangular garden.

The garden's area (in square meters) as a function of the garden's width x(in meters) is modeled by,

\(A(x)=-x(x-80)\).

We know that perimeter of rectangle will be,

\(P=2(L+B)\\\)

Here p is 160,

So,\(160=2(L+B)\)

\(\L+B= 80\)

Now we have the sum of length and width off the rectangular garden is 80.

Since,

\(A(x)=-x(x-80)\\\)

So, \(A(x)=x(80-x)\)

We know that the area of rectangle will be the product of length and , here in question width is \(x\) so the length will be\((80-x)\).

Now we have to calculate the width for which the area will be maximum.

The area will be maximum when the first derivative of area function will becomes zero.

So,

\(\frac{\mathrm{d} }{\mathrm{d} x} A(x)=\frac{\mathrm{d} }{\mathrm{d} x}(-x)(x-80)\)

\(\frac{\mathrm{d} }{\mathrm{d} x}A(x)=\frac{\mathrm{d} }{\mathrm{d} x}(-x^{2} +80x)\)

\(\frac{\mathrm{d} }{\mathrm{d} x}A(x)=-2x+80\\\)

For maximum area ,

\(\frac{\mathrm{d} }{\mathrm{d} x}A(x)=0\)

Hence,

\(-2x+80=0\\x=40\)

Hence the width for maximum area will be 40 metres.

For more details follow the link:

https://brainly.com/question/16545343

The maximum area is 1600 sq meters.

The garden's area is modeled by a quadratic function, whose graph is a parabola.

The maximum area is reached at the vertex.

So in order to find the maximum area, we need to find the vertex's y-coordinate.

We will start by finding the vertex's x-coordinate, and then plug that into A(x).

The vertex's x-coordinate is the average of the two zeros, so let's find those first.

A(x)=0    -x(x-80)=0

  ↓                  ↓

-x=0 or x-80=0

x=0 or x=80

Now let's take the zeros' average:

\(\frac{(0)+(80)}{2}=\frac{80}{2}=40\)

The vertex's x-coordinate is 40. Now lets find A(40):

A(40)= -(40)(40-80)

        = -(40)(-40)

        = 1600

in conclusion, the maximum area is 1600 square meters.

Answer:

x + y =2

-x         -x

y = -1x + 2

Perpendicular is y= 1x + 2

Step-by-step explanation:

The mean amount of snow per day is equal to 19 cm snow per day.

In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:

Mean = [F(x)]/n

For the total amount of snow based on the frequency, we have;

Total amount of snow (s cm), F(x) = 5(8) + 15(10) + 25(7) + 35(2) + 45(3)

Total amount of snow (s cm), F(x) = 40 + 150 + 175 + 70 + 135

Total amount of snow (s cm), F(x) = 570

Now, we can calculate the mean amount of snow as follows;

Mean = 570/30

Mean = 19 cm snow per day.

Read more on mean here: brainly.com/question/9550536

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.