Evaluate each expression 6!/3!

Answer:

see explanation

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a hexagon has 6 sides , then

sum = 180° × (6 - 2) = 180° × 4 = 720°

12

the polygon has 5 sides , so

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the interior angles and equate to 540

y + 90 + 120 + 90 + 110 = 540

y + 410 = 540 ( subtract 410 from both sides )

y = 130

13

the polygon has 7 sides , so

sum = 180° × (7 - 2) = 180° × 5 = 900°

sum the interior angles and equate to 900

p + 90 + 141 + 130 + 136 + 123 + 140 = 900

p + 760 = 900 ( subtract 760 from both sides )

p = 140

Answer:

6/8

Step-by-step explanation:

Multiply both the denominator and numerator by 2.

where r = 19 feet, h = 40 feet, and θ varies from 0 to 8π (4 complete revolutions) as t varies from 0 to 4.

An equation is a mathematical statement that shows the equality of two expressions, which are separated by an equals sign (=). An equation can have variables, constants, coefficients, and operators. The variables are represented by letters, and their values can change depending on the context of the problem. The constants are fixed values, and the coefficients are the numbers that multiply the variables. The operators are mathematical symbols that indicate the operation to be performed, such as addition (+), subtraction (-), multiplication (*), division (/), and exponentiation (^). Solving an equation means finding the value(s) of the variable(s) that satisfy the equation.

Given by the question.

Let's start by defining the necessary parameters. The radius of the staircase is given as 19 feet, and the height is given as 40 feet. The staircase makes 4 complete revolutions, so the total height of the staircase is 4 times the height of one revolution, which is 40 feet.

To find a vector parametric equation for the helical path, we need to consider the circular motion around the center axis, as well as the motion along the axis. Let's define the following parameters:

r: radius of the staircase (19 feet)

h: height of one revolution (40 feet)

θ: angle of rotation around the center axis (in radians)

z: height along the center axis

The circular motion around the center axis can be described by the following parametric equation:

x = r cos(θ)

y = r sin(θ)

z =???

To find the equation for z, we need to consider the motion along the center axis. Since it takes one hour to stroll up one revolution, and there are 4 revolutions in total, the time it takes to stroll up the entire staircase is 4 hours. Therefore, we can use t as a parameter that varies from 0 to 4, and define z as:

z = (h/4) t

Note that we divide h by 4 to scale the parameter t to the interval [0,4].

Putting it all together, the vector parametric equation for the helical path is:

r(t) = <r cos(θ), r sin(θ), (h/4) t>

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The probability that the next person will purchase one or more costumes as a decimal to the nearest hundredth is 0.443

Out of 217 visitors who came to Nayeli's website, none of them purchased a costume. Therefore, the number of visitors who may purchase a costume is 217 less than the total number of visitors:

Total visitors - No. of visitors who didn't purchase a costume = 217

Total visitors - 217 = No. of visitors who may purchase a costume

Total visitors = 113 + 217+36 = 336

Out of the remaining visitors, 113 purchased exactly one costume, and 36 purchased more than one costume. Therefore, the number of visitors who purchased one or more costumes is:

No. of visitors who purchased one or more costumes = 113 + 36 = 149

Therefore, the probability that the next person will purchase one or more costumes can be expressed as:

Probability = No. of visitors who purchased one or more costumes / Total visitors

Probability = 149 /336 = 0.443

The probability that the next person will purchase one or more costumes as a decimal to the nearest hundredth is 0.443

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Answer:

Step-by-step explanation:

.44

Answer:

See attached table.

Step-by-step explanation:

We can convert the previous week's experience into percentages:

There were a total of (25 + 24 + 4) = 53 customers the previous week.  If we assume they are an unbiased sample and most weeks will have the same types of customers, we can calculate the percentage for each payment type.

(25/53) or 47% paid with cash.

24/53) or 45% paid with debit card

(4/53) or 8 % paid with  credit card

Use these percentages on the 500 customers expected the following week to find the likely distribution of payment types among the 500.  See the attached table.  Round the fractional customers to the nearest whole number as a courtesy.

Question 1:

(a) The equation representing Elaine's total parking cost is:

C = x * t

(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.

Question 2:

The given system of equations is inconsistent and has no solution.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.

(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):

C = x * 24

Question 2:

To solve the linear system:

-x - 6y = 5

x + y = 10

We can use the elimination method.

Multiply the second equation by -1 to create opposites of the x terms:

-x - 6y = 5

-x - y = -10

Add the two equations together to eliminate the x term:

(-x - 6y) + (-x - y) = 5 + (-10)

-2x - 7y = -5

Now we have a new equation:

-2x - 7y = -5

To check the answer, we can substitute the values of x and y back into the original equations:

From the second equation:

x + y = 10

Substituting y = 3 into the equation:

x + 3 = 10

x = 10 - 3

x = 7

Checking the first equation:

-x - 6y = 5

Substituting x = 7 and y = 3:

-(7) - 6(3) = 5

-7 - 18 = 5

-25 = 5

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Answer:

A = P (1 + i)^n     where the principal P equals amount A after n periods

P = 1000     and i = .025 / yr

A1 = A (1.025) = 1025

A2 = A1 (1.025) = A (1.025)^2     etc

A5 = A (1.025)^5 = 1000 * (1.025)^5 = 1131 after 5 years

Answer: C

Step-by-step explanation:

The distance between points A and Z is the same as the distance

between points X and Z.

The distance between points A and Z is same as the distance between X and Z.

"Two triangles are said to be congruent if and only if measure of corresponding sides and angles of one triangle is equal to other triangle."

Theorem used

Angle side Angle(ASA)

When two angles and included side of one triangle is congruent to two angles and included sides of other triangle then triangles are said to be congruent.

According to the question,

Given,

In ΔYZA and ΔYZX,

∠YZA ≅ ∠YZX          (each 90°)

∠XYZ ≅ ∠AYZ    

YZ ≅YZ                     (common side)

By ASA theorem  of triangles we get,

ΔYZA ≅ΔYZX

Therefore, distance between given points are congruent.

\(\bar{AZ} =\bar{XZ}\)

Hence, Option(C) is the correct answer.

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Answer: You have to save $128 more dollars.

Step-by-step explanation: The iPad costs $353 and you already have $225, so to find the answer you have you subtract what you already have from how much it costs. So 353 - 225 = 128. You need to save up $128 more dollars to get the iPad. (I think this is correct, I tried)

55.96 more euros Sandy have if she made her trade on the day with the most favorable exchange rate than if she made her trade on the day with the least favorable exchange rate. Thus, option B is correct.

The number of units of a foreign currency that can be purchased with one unit of the domestic currency, or the opposite, is referred to as the exchange rate between two currencies.

Here, we have

Given: The exchange rate between non-fixed currencies continuously fluctuates. Sandy has $829.04 to convert into euros.

We have to find how many more euros would Sandy have if she made her trade on the day with the most favorable exchange rate than if she made her trade on the day with the least favorable exchange rate.

To get a favorable exchange rate we should do:

                                     USD × Exchange Rate

a) 829.04 × 0.7544  ⇒ Most favorable exchange rate (Tuesday)

= 625.42

b)  829.04 × 0.6869 × 0.94  ⇒ Least favorable exchange rate (Friday)

= 569.46

Difference of most favourable day and Least favorable day

=  625.42 - 569.46

= 55.96

Hence, 55.96 more euros Sandy have if she made her trade on the day with the most favorable exchange rate than if she made her trade on the day with the least favorable exchange rate. Thus, option B is correct.

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Answer:

To convert a fraction into a decimal, divide the top number by the bottom number. What about with denominators that don't divide into 10, 100 or 1000, such as 7? You still divide the denominator into the numerator, no matter what the numbers are.

Step-by-step explanation:

ok

Answer:

its 3m+7+7c+4n

Step-by-step explanation:

Its really easy

Answer:

The linear equation satisfying the given condition is,

\(x=t+15\)

where x is Ravi's age and t is the number of years

(after 10 years (t=10) his age becomes 25)

Step-by-step explanation:

Let x be Ravi's age

Now, his  current age is unknown, but if you add 10 to it, then it becomes 25, so

x + 10 =25

so, his current age is x = 25 =10

x = 15

Now, we find the linear equation satisfying the given condition,

Let t be the number of years that have passed since the present time

so, if 0 years have passed, his age will be 15 years

after 1 year, his age will be 16 years

after 10 years, his age will be 25 years and so on

so

\(x = t + 15\)

this satisfies the given condition, since if we add ten years i.e t = 10,

then we get 25

The equation is:

Work/explanation:

Here's the linear equation for Ravi's age.

Ravi's age is x.

If you add 10 to x you get x + 10.

That gives 25.

So the linear equation is x + 10 = 25.

The two points (0,-4) and (-4/3,0) are solutions to the inequality 6x +2y<-8.

Given the inequality 6x +2y<-8,

The equation 6x - 2y = 8 divides the coordinate plane into two parts. The shaded region contains all points with coordinates (x,y).

Such that 6x + 2y > 8. Because the sign of the inequality is not equal (is strongly <), the boundary line should be dashed.

Choose two points:

When x = 0, 2y< -8, and y can be -4. You get point (0, -4);

if y=0, then 6x <-8, and x can be -4/3. You get the idea (-4/3,0).

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Answer:

(x + i) (x - i)

Step-by-step explanation:

The expression x^2 + 1 is a sum of squares, which means that it cannot be factored using real numbers. However, it can be factored using complex numbers.

To factor x^2 + 1, we can use the fact that i^2 = -1, where i is the imaginary unit.

We can rewrite x^2 + 1 as:

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

Now, we can use the difference of squares formula to factor x^2 - (-1):

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

Therefore, the factored form of x^2 + 1 is:

(x + i)(x - i)

The first five terms of the sequence are (d) 25, 20, 15, 10, 5

The definition of the function is given as

a₁= 25

aₙ = aₙ₋₁ - 5

The above definitions imply that we simply subtract 5 from the previous term to get the current term

Using the above as a guide,

So, we have the following representation

a₂ = 25 - 5

a₂ = 20

Also, we have

a₃ = 20 - 5

a₃ = 15

Solving further, we have

a₄ = 15 - 5 = 10

a₅ = 10 - 5 = 5

Write out the results

25, 20, 15, 10, 5

Hence, the terms are (d) 25, 20, 15, 10, 5

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Answer: It's 25, 20, 15, 10, 5

Step-by-step explanation:

The area of rectangular room with length L and width W is LW/9 square yard.

Given that, a rectangular room has length L and width W, where L and W are measured in feet.

Here, L feet = L/3 yard and W feet = W/3 yard

a) Area = Length×Width

= L/3 × W/3

= LW/9 square yard.

b)  Carpeting costs x dollars per square yard.

Total cost = x×LW/9

= LWx/9 dollars

Therefore, the area of rectangular room with length L and width W is LW/9 square yard.

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Answer:

x = 5

y = 1

Step-by-step explanation:

2x - y = 9

3x + 4y = 19

We multiply the first equation by 4

8x - 4y = 36

3x + 4y = 19

11x = 55

x = 5

Now we put 5 in for x and solve for y

2(5) - y = 9

10 - y = 9

-y = -1

y = 1

Let's Check the answer

2(5) - 1 = 9

10 - 1 = 9

9 = 9

So, x = 5 and y = 1 is the correct answer.

This proof was correctly started by both eric and maggie.

The next step in the proof is to set the right side of the equations equal.

This would be done by the transitive property of equality.

This refers to the use of inference to make an argument to show the logical conclusion to a set of assumptions.

Based on the given diagram that shows Triangle XYZ and the mathematical proof that both Eric and Maggie are trying to prove, they both give the correct proof and the next step was to make the right side of the equations equal.

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Answer:

1: both

2: set the right side

3: transitive property

Step-by-step explanation:

got it right on plato :)

Answer:

I got 571

Step-by-step explanation:

not sure but best bet

Answer:

3 ounces.

Step-by-step explanation:

First, we need to figure out how much of the clay has already been used. To do this we have to add the two known numbers.

\(\frac{5}{8} +\frac{1}{4}\)

But this doesn't work because the denominators are different. So we need to find the LCD or the least common denominator.

For this equation, the LCD is 8. So we turn the 4 into an 8 by multiplying it by 2 and we do the same to the top because whatever we do to the bottom we have to do to the bottom.

\(\frac{5}{8} +\frac{2}{8}=\frac{7}{8}\)

Now we can figure out how much clay is left by finding out what \(\frac{1}{8}\) of 24 is.

So. . .\(24\) × \(\frac{1}{8}\) is 3 because 24 divided by 8 equals 3 giving us our answer of 3 ounces of clay remaining.

Hope this helps. . .

UwU

The table is completed as follows using the double-declining-balance method of depreciation:

Year Cost   Accumulated  Book Value  Depreciation Accumulated  Book

                   Depreciation        B.O.Y         Expense     Depreciation  Value

                        B.O.Y                                                               E.O.Y       E.O.Y

1    $30,000          $0           $30,000         $12,000         $12,000  $18,000

2   $30,000    $12,000          $18,000         $7,200           $19,200  $10,800

3   $30,000   $19,200          $10,800           $4,320          $23,520   $6,480

The double-declining-balance approach is what?

The double-declining-balance method is one of the depreciation techniques in use, however it adds additional costs in the first years of an asset's life.

In this depreciation method, the straight-line rate, which is computed as the product of 100/estimated useful life multiplied by 2, is twice.

At the conclusion of each year, the leftover balance for the depreciation charge is adjusted using the double rate.

The difference between the closing balance from the previous year and the residual value is used to determine the depreciation charge for the most recent year.

Auto  = $30,000

Estimated useful life = 5 years

Residual = $800

Depreciable amount = $30,000 - $800 = 29,200

Straight-line depreciation rate = 100/5 = 20%

Double-declining depreciation rate =20% x 2 = 40%

Depreciation Expense:

1st year = 30,000 x 40/100 = 12,000

2nd year = 18,000 x 40/100 = 7,200

3rd year = 10,800 x 40/100 = 4,320

4th year = 6,480 x 40/100 = 2,592

5th year = 3,888 x 40/100 = 1,555

Year Cost   Accumulated  Book Value  Depreciation Accumulated Book

                   Depreciation        B.O.Y         Expense      Depreciation   Value

                        B.O.Y                                                               E.O.Y       E.O.Y

1    $30,000          $0           $30,000         $12,000         $12,000  $18,000

2   $30,000    $12,000          $18,000         $7,200           $19,200  $10,800

3   $30,000   $19,200          $10,800           $4,320          $23,520   $6,480

4   $30,000  $23,520          $6,480           $2,592           $26,112   $3,888

5  $30,000  $26,112            $3,888          $1555           $27,667     $2,332

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The degree for 7pi/4 is : 315°

Answer:

Step-by-step explanation:

x² × 2x² = 2x^4 (2x to the power of 4)

x² × -3x = -3x³

+3 × 2x² = 6x²

+3 × -3x = -9x

2x^4    ,     -3x³    ,   6x²,      -9x

In bold are the bottom two

Answer:

x=5

Step-by-step explanation:

subtract 4x from both sides

7x-4x=4x-4x+15

3x=15

divide by 3 on both sides

3x/3=15/3

x=5

A. The system of equations in standard form is: 4x + 5y = 540 and 3x + 5y = 440.

B. The y-intercept of the equation representing the prices on Saturday night is 108, and the y-intercept of the equation representing the prices at the matinee on the second day is 88.

A) Let's define the variables:

Let x represent the number of children attending.

Let y represent the number of adults attending.

On Saturday night:

The equation for the revenue generated on Saturday night is:

4x + 5y = 540 (since children's tickets cost $4 and adults' tickets cost $5, and the total revenue is $540).

Matinee on the second day:

The equation for the revenue generated at the matinee is:

3x + 5y = 440 (since children's tickets cost $3 and adults' tickets still cost $5, and the total revenue is $440).

Therefore, the system of equations in standard form is:

4x + 5y = 540

3x + 5y = 440

B) Let's rewrite the system of equations in slope-intercept form:

On Saturday night:

4x + 5y = 540

Rearranging the equation, we get:

5y = -4x + 540

Dividing both sides by 5, we get:

y = (-4/5)x + 108

The y-intercept of this equation is 108.

Matinee on the second day:

3x + 5y = 440

Rearranging the equation, we get:

5y = -3x + 440

Dividing both sides by 5, we get:

y = (-3/5)x + 88

The y-intercept of this equation is 88.

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Answer:

the correct answers are: put the values in numerical order before trying to find the median

the median is the number in the middle of an ordered set of values

Step-by-step explanation:

if i am wrong, im sorry but to my knowlage these are correct.

i hope this helped<33

Answer: A D E

Step-by-step explanation: