I need help on this question

648 is the three-digit positive integers have three different digits

According to the statement

we have given that there are three positive digit number are formed with three distinct digits.

And we have to find that the how many words are formed with distinct numbers.

So, to solve this type of problem the Combination formula is best.

Because it provides the all possibilities that from how many ways numbers are formed.

So, from a combination formula

here we take 9 two times because first time when we let a number then remaining numbers are 9.  and second time remaining numbers are also 9 because we let the distinct number but for third number there will be a probability that choosing number will be same.

So, Three digit positive number become from 9*9*8 =648

So, 648 is the three-digit positive integers have three different digits.

Learn more about COMBINATION here https://brainly.com/question/4658834

#SPJ1

The total Number of miles she biked, was 216.

In the given question, over 18 days, Sophia rode her bike an average of 12 miles each day.

We have to find the total number of miles she biked.

As we know that average is the sum of all numbers divide by total numbers.

As from the question, there is a total average of 18 days.

So the total number of days is 18.

The average distance of her bike for one day is 12 miles.

So we have to find the total number of miles that she biked.

We can find the total number of miles by multiplying the total number of days with the average speed of one day. So;

Total Number of Distance = Total Days × Average Speed of One Day

Total Number of Distance = 18 × 12

Total Number of Distance = 216 miles.

So, the total Number of Distance she biked, was 216 miles.

To learn more about average link is here

brainly.com/question/29550341

#SPJ4

The value of the car after 8 years at a rate of 12% depreciation is $7911.96.

What is meant by the depreciation of a car?

Depreciation is the gap between an automobile's value at the time of purchase and its eventual sale. Depending on the make and model, this decrease in value can range from 15 to 35% in the first year and up to 50% or more over the course of three years. Long-term savings can be achieved by selecting an automobile with a reduced rate of depreciation. You also raise your chances of getting a decent price when you sell the automobile again. Cars that cost more than their base models typically depreciate less over time.

Given,

The value of the car in the beginning = $22,000

The rate of depreciation = 12%

The time period  = 8 years

We are asked to find the value of the car after 8 years.

The formula for the value of the car after depreciation is:

A = P( 1 - r)ˣ

where A = Final value

           P = initial value

          r = rate of depreciation

          x = time period

A = 22000 ( 1- 0.12)⁸ = $7911.96

Therefore the value of the car after 8 years at a rate of 12% depreciation is $7911.96.

To learn more about depreciation, follow the link.

https://brainly.com/question/30543672
#SPJ1

The area of a square inscribed in a circle is 25, then the area of the circle is 25π/2 or approximately 39.27 square units.

To solve this problem, we can use the relationship between the area of a square inscribed in a circle and the area of the circle itself.

When a square is inscribed in a circle, the diagonal of the square is equal to the diameter of the circle. Let's assume that the side length of the square is 's' and the radius of the circle is 'r'.

We are given that the area of the square is 25, so we can find the side length of the square:

Area of square = \(s^2 = 25\)

Taking the square root of both sides, we get:

s = √25 = 5

Since the diagonal of the square is equal to the diameter of the circle, we can find the diameter of the circle:

Diagonal = Diameter = s√2 = 5√2

The radius of the circle is half the diameter, so:

Radius = 5√2 / 2 = (5√2)/2

Now, we can calculate the area of the circle using the formula:

Area of circle = \(\pi r^2\)

Substituting the value of the radius, we get:

Area of circle = π((5√2)/\(2)^2\) = π(25/2) = 25π/2

Therefore, the area of the circle is 25π/2 or approximately 39.27 square units.

For more question on square visit:

https://brainly.com/question/428672

#SPJ8

A set is a mathematical model for a collection of items. The set of W' is {5, 20, 30}.

A set is a mathematical model for a collection of items; it comprises elements or members, which may be any mathematical object: numbers, symbols, points in space, lines, other geometrical structures, variables, or even other sets.

The complete question is given below.

Q13.

T ∪ V = Data points that are in T or V or both.

T ∪ V = {5, 10, 20, 30}

Q14.

T ∩ W = Data points that are in T and W both.

T ∩ W = {10}

Q15.

W' = Data points that are not in W.

W' = {5, 20, 30}

Hence, the set of W' is {5, 20, 30}.

Learn more about Set:

https://brainly.com/question/8053622

#SPJ1

Answer:

Step-by-step explanation:

When reflecting coordinates about the y-axis, we change the sign of the x-coordinate while keeping the y-coordinate the same.

So, for the point (4, 6), the new coordinates after reflection about the y-axis would be (-4, 6).

For the point (12, 2), the new coordinates would be (-12, 2).

For the point (-1, 0), the new coordinates would be (1, 0).

Therefore, the new coordinates after reflecting these points about the y-axis are (-4, 6), (-12, 2), and (1, 0).

Answer:

60°

Step-by-step explanation:

In similar triangles, the corresponding angles are congruent.

          ∠O = R

          O = 70°

In ΔOMN,

      ∠O + ∠M + ∠N = 180     {Angle sum property of triangle}

       70 + 50 + Ф    = 180

               120 + Ф  = 180

Subtract 120 from both sides,

                        Ф  = 180 - 120

                         Ф = 60°  

The required value of h, representing the height of the three-dimensional rectangle, is 12.

The diagonal of a three-dimensional rectangle is defined by the equation d² = x² + y² + h². To solve for h, we can rearrange the equation as follows:

h² = d² - x² - y²

Given the values d = 13, x = 3, and y = 4, we can substitute them into the equation:

h² = 13² - 3² - 4²

h² = 169 - 9 - 16

h² = 144

Taking the square root of both sides, we find:

h = 12

Therefore, the value of h, representing the height of the three-dimensional rectangle, is 12.

Learn more about the diagonal of the right rectangular prison here:

https://brainly.com/question/13839054

#SPJ1

The correct number line that displays the solution `x ≥ 3` would be:

 <------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------>

       -10    -9     -8     -7     -6     -5     -4     -3     -2     -1     0      1      2      3      4      5      6      7      8      9     10

                                   ●------------------------------------------------>

The solution `x ≥ 3` is an inequality that means x is greater than or equal to 3. To graph this inequality on the number line, we mark the point representing the value 3 with a closed circle on the number line and draw an arrow pointing to the right to indicate that all values greater than or equal to 3 satisfy the inequality.

The closed circle at 3 indicates that 3 is included in the solution set, and the arrow to the right indicates that all values greater than 3 also satisfy the inequality. Therefore, any value of x that is equal to or greater than 3 would be considered a solution to the inequality `x ≥ 3`.

It is important to note that if the inequality was `x > 3` (without the equal sign), the closed circle at 3 would be changed to an open circle, indicating that 3 is not included in the solution set, and only values greater than 3 would be considered solutions. In conclusion, the number line provided above correctly displays the solution `x ≥ 3`.

For such more questions on  number line

https://brainly.com/question/24644930

#SPJ8

The number in an expanded form is 700,000 + 182 + 0.009

The number is given as:

seven hundred thousand one hundred eighty-two and nine thousandths

Next, we split the numbers:

seven hundred thousand = 700,000

one hundred eighty-two = 182

and nine thousandths = 0.009

Next, we add the numbers

700,000 + 182 + 0.009

Hence, the number in an expanded form is 700,000 + 182 + 0.009

Read more about expanded forms at

https://brainly.com/question/655925

#SPJ1

Answer:

wdwadafwfaawa

Step-by-step explanation:

wdzdazdadadw

\( \sqrt{54} = \sqrt{ 2 \times3 \times 3 \times 3}\)

\( \sqrt{54} = \sqrt{ 2 \times 3} \times 3\)

\( \sqrt{54} = \sqrt{6} \times 3\)

\( \sqrt{54} = 3 \sqrt{6} \)

Podemos escribir "La diferencia de dos numeros mas otro numero" como:

(x - y) + z

Queremos escribir "La diferencia de dos numeros mas otro numero"

Pimero, recordar que la diferencia entre dos numeros se refiere a la resta entre dos numeros, entonces podemos empezar escribiendo:

(x - y)

Donde x e y son los dos numeros de los que tomamos la diferencia.

Y a esto le debemos sumar otro numero, que puede ser otra variable z, entonces obtendremos:

(x - y) + z

Esta es la expresion usando lenguaje algebraico.

Aprende más sobre expresiones:

https://brainly.com/question/723406

#SPJ1

Answer:

1/5x

Step-by-step explanation:

1/5x

The y-intercept of the graph of this function is 5.

Given information:

The linear function passes through the points (0, 5) and (8, -2).

Here, we have to find the y-intercept.

For that, the definition of y-intercept is given as the point where the graph intersects the y-axis.

To find the y-intercept of the graph of this function, we need to identify,

the point where the graph intersects the y-axis.

The y-axis corresponds to the x-coordinate of 0.

Since the function passes through the point (0, 5), we know that the y-intercept is 5.

Therefore, the y-intercept of the graph of this function is 5.

To learn more about the intercepts;

https://brainly.com/question/14180189

#SPJ1

Answer:

Step-by-step explanation:

a) (2,-4)  and (2 , 3)

In these two points the x-coordinate are same. So, the distance between the points are given by the absolute value of difference between the y-coordinate.

  Distance = I -4-3 I = I -7I =  7 units

b) (-3,-2)  and  (-3,0)

In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.

     Distance = I-2 -0 I = I -2 I = 2 units

c) (1,4) and (-5,4)

In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.

Distance = I 1 - (-5) I = I 1 + 5 I = I 6 I = 6

d) (-2,0)  and (-3,0)

In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.

Distance = I -2 - (-3) I = I -2 + 3 I = I 1 I = 1 unit

e) (4,-6) and (4,-2)

In these two points the x-coordinate are same. So, the distance between the points are given by the absolute value of difference between the y-coordinate.

Distance = I -6 - (-2) I = I -6 + 2 I = I-4 I = 4 units

f) (5,1) and (1 , 1)

In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.

Distance= I5 - 1 I =  I 4 I  = 4 units

The option that is a representation that shows y as a function of x is the graph in option 2. The answer is B.

A function is any relation or table of values which may be represented in a graph that has only one possible y value that is assigned to each x-value.

The first option is not a function because x-value 0 has two corresponding y-values, 4 and 9.

In the third option, we also have two y-values, 5 and -5, that is assigned to one x-value, 0. So, it is not a function.

The graph in option 2 represents y as a function of x, because no two y-values is assigned to the same x-value.

The answer is: B.

Learn more about function on:

https://brainly.com/question/10439235

#SPJ1

Answer:

divide by avagadro number to get the amount of moles in the atoms you have

(a) Clicks Width of Door (inches)

1 3.3

2 3.63

3 3.99

4 4.39
(b) The function is y = 3  (1.1)ˣ.

(c) It would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.

(d) It would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.

(a)

Clicks Width of Door (inches)

1 3.3

2 3.63

3 3.99

4 4.39

(b) Let x be the number of clicks and y be the width of the door on the screen. Then, we can write the algebraic rule as:

y = 3  (1.1)ˣ

(c) To make the door approximately 3 feet wide on screen, we need to convert 3 feet to inches, which is 36 inches. Then, we need to solve for x in the equation:

3 (1.1)ˣ = 36

Dividing both sides by 3, we get:

(1.1)ˣ = 12

Taking the logarithm of both sides (with base 1.1), we get:

x = log(12) / log(1.1) ≈ 14.7

So, it would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.

(d) To transform the display of the door from 3 feet wide back to a width of approximately 3 inches, we need to find the number of clicks of the zoom-out button that will result in a width of approximately 3 inches. We can use the same formula as before, but with the initial width of 36 inches (since we are zooming out):

36 (0.9)ˣ = 3

Dividing both sides by 36, we get:

(0.9)ˣ = 1/12

Taking the logarithm of both sides (with base 0.9), we get:

x = log(1/12) / log(0.9) ≈ 11.5

So, it would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.

To learn more about the exponential function;

https://brainly.com/question/14344314

#SPJ1

The equation of the function is f(x) = 1200(0.95)^x

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

Initial value, a = 1200

Rate of decrement, r = 5%

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

f(x) = a *(1 - r)^x

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

f(x) = 1200(1 - 5%)^x

So, we have

f(x) = 1200(0.95)^x

Hence, the function is f(x) = 1200(0.95)^x

Read more about exponential function at

https://brainly.com/question/11464095

#SPJ1

The quartiles of the distribution are given as follows:

The sample size of the distribution is of:

n = 40.

The first quartile is the value that is greater than 25% of the distribution, hence it is the value at the position which is 25% of the sample size, hence:

The second quartile is the value that is greater than 50% of the  distribution, hence it is the value at the position which is 50% of the sample size, hence:

The third quartile is the value that is greater than 75% of the  distribution, hence it is the value at the position which is 75% of the sample size, hence:

More can be learned about the quartiles of a distribution at https://brainly.com/question/9265525

#SPJ1

Answer:

a-

3x+3y=11.25

4x+2y=10

Answer:

18 freshmen, 18 sophomores, 30 juniors, 30 seniors

Step-by-step explanation:

Given ratio

  freshman : sophomores : juniors : seniors

= 320 : 300 : 500 : 510

320 ≈ 300  and  500 ≈ 510

Therefore, 300 : 300 : 500 : 500

Ratio of 300 : 500 = 18 : 30

So  18 : 18 : 30 : 30 best represents the population

Given nos

Ratio:-

Round out

Option A

Step-by-step explanation:

√2x² + 7x +√2=0

2x + 7x + √ 2 =0

√2=9x

x = o.15713484

Answer:

12x/2 or 52/2

Step-by-step explanation:

Ok, perimeter is length+length+width+width. 12x/2 and 52/2 could are probably the answers.

The percent decrease in total principal and interest paid between a 30-year term mortgage and a 15-year mortgage with a principal balance of $484,500.00 and a 6.5% APR is 31.0%. (Option A)

To calculate the  percent decrease, we can use the following formula.

Percent decrease = ( (30-year factor -   15-year factor) / 30-year factor) x 100

Substituting the values from the chart.  

= (($ 6.65 - $8.71) / $6.65) x 100

= ( -$ 2.06 / $6.65) * 100

= -0.309 *  100

Percent decrease ≈ - 30.9 %

Since the question asks for the percent decrease as a positive value, we take the absolute value of the result which is

Percent decrease ≈ 31%

Learn more about percentage decrease:
https://brainly.com/question/30404835
#SPJ1

Answer:

C. 96°

Step-by-step explanation:

m<AME = 48° is an inscribed angle

Arc AT = intercepts arc

Based on the inscribed angles theorem, we have:

m<AME = ½(arc AT)

48° = ½(arc AT)

Multiply both sides by 2

48° × 2 = ½(arc AT) × 2

96° = arc AT

Arc AT = 96°