If you want to buy an item in a store that costs $32.50 and is on sale for 30% off, then how much would the item actually cost you after the discount? Round to the nearest cent.​

out of a group of 12, the possible arrangements are possible are 495.

What do you mean by arrangements in permutation and combinations?

Finding the total number of different configurations for a collection of elements is a straightforward definition of the term permutation. According to permutation, the arrangement is classified as a non-distinct item, which essentially classifies things that are impossible to identify from one another.

according to the question, out of 12 people, 4 are to be chosen

so the possible arrangements are 12C4 =495

Hence, the possible arrangements are 495.

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The reason why people sometimes assume that the calculation 9 + 10 = 21 is as explained below.

We want to find out the reason why people say that; 9 + 10 = 21

Now, the way you have explained it is one way to look at it by utilizing number bases to play around with the figures to arrive at 21.

However, another way is to use algebra trick pattern which is;

9 can be expressed as 3 * 3

Also, 10 can be expressed as 5 * 2. Thus, we now have;

(3 * 3) + (5 * 2)

The applying properties of algebra to cross multiply gives;

(3 * 2) + (5 * 3)

= 6 + 15

= 21

Now, though your explanation arrived at 21 and mine also 21, but those are not correct mathematical methods as 9 + 10 must be equal to 19 and not 21.

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The average speed is 54 miles per hour.

What is average ?

In plain English, an average is one number chosen to represent a list of numbers. It is often calculated by dividing the total number of numbers in the list by the number of numbers in the list. As an illustration, the sum of the integers 2, 3, 4, 7, and 9 is 5.

The definition of the average is the mean value, which is the ratio of the sum of the values in a given set to the total number of values in the set.

The formula for distance is

Distance = Rate × Time

Total distance = 50 × 3 + 60 × 2 = 270

Total time = 3 + 2 = 5

Using the formula:

\(Speed = \frac{Distance}{Time}\)

       = 270 / 5

       = 54

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The cost of the apples is 2.9 dollars.

The cost of the bananas is 5.7 dollars.

The total cost is 6 dollars, each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.

Therefore,

let

x = number of apples

y = 2x

where

Therefore, using equations,

1.5(x) + y(0.30) = 6

Hence,

where

y = 2x

1.5(x) + 2x(0.30) = 6

1.5x + 0.6x = 6

2.1x = 6

divide both sides by 2.1

x = 6 / 2.1

x = 2.9 dollars

y = 2(2.9) = 5.7 dollars

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A real world situation that can be modeled by the equation. 19.25x =17.25x +26.77 is that a company charges 19.25 per hour and another company charges 17.25 per hour plus a one time fee of 26.77. What number of hours they have the same price?

It should be noted that an equation is used to show the relationship between the variables that are illustrated.

In this case, a real world situation that can be modeled by the equation. 19.25x =17.25x +26.77 is that a company charges 19.25 per hour and another company charges 17.25 per hour plus a one time fee of 26.77. What number of hours they have the same price?

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By evaluating the function in x = 1, we will get:

f(1) = 4

Here we have the following absolute value function:

f(x) = 11 - 7*|x|

We want to find f(1), this just means that we need to evaluate the function in x = 1.

That means that we need to replace the variable in the equation by the number 1, so let's do that:

f(1) = 11 - 7*|1|

Now we just simplify that, we will get:

f(1) = 11 - 7*|1|

   = 11 - 7

   = 4

f(1) = 4

That is the value we wanted to find.

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\(\cfrac{89.40~~ - ~~\stackrel{ \textit{minus the tax of each} }{0.50-0.50-0.50-0.50-0.50-0.50}}{6}\implies \cfrac{86.40}{6}\implies \stackrel{ each }{14.40}\)

Answer:

The number is each coins

1 rupee = 30

50 paisa = 60

25 paisa = 120

Step-by-step explanation:

1 rupee

50 paisa = 0.5 rupee

25 paisa = 0.25 rupee

1 : 2 (×0.5): 4(×0.25) = 1 rupee : 1 rupee : 1 rupee

90÷ 3 = 30

The number is each coins

1 rupee = 30

50 paisa = 60

25 paisa = 120

Answer:

La proposición "La suma de los tres radicales es igual a cero" es falsa. Si sumamos los tres radicales, tenemos:

-10√3 + √12 + 8√3 = (-10 + 8)√3 + √12 = -2√3 + √12.

La proposición "La suma de los tres radicales es 1-2√3 + √2" es falsa, ya que la suma real de los tres radicales es -2√3 + √12.

La proposición "La diferencia entre el tercer y el primer sumando es igual a 18√3" es falsa, ya que la diferencia real entre el tercer y el primer sumando es 8√3 - (-10√3) = 8√3 + 10√3 = 18√3.

Answer:

40

To find the area you multiply base times height

Step-by-step explanation:

On average, a customer spends approximately 1.16 minutes waiting time on hold before they can start speaking to a representative.

To find the average waiting time for a customer on hold before they can start speaking to a representative, we need to consider both the arrival rate of calls and the average service time of the staff members.

Given:

9 staff members taking calls.

On average, one call arrives every 5 minutes (standard deviation of 5 minutes).

Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes).

To calculate the average waiting time, we need to use queuing theory, specifically the M/M/c queuing model. In this model:

"M" stands for Markovian or memoryless arrival and service times.

"c" represents the number of servers.

In our case, we have an M/M/9 queuing model since we have 9 staff members.

The average waiting time for a customer on hold is given by the following formula:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

Where:

c = number of servers (staff members) = 9

μ = average service rate (1 / average service time)

λ = average arrival rate (1 / average interarrival time)

ρ = λ / (c * μ)

First, let's calculate the average arrival rate (λ):

λ = 1 / (average interarrival time) = 1 / 5 minutes = 0.2 calls per minute

Next, calculate the average service rate (μ):

μ = 1 / (average service time) = 1 / 18 minutes = 0.0556 customers per minute

Now, calculate ρ:

ρ = λ / (c * μ) = 0.2 / (9 * 0.0556) ≈ 0.407

Finally, calculate the waiting time:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

= (1 / (9 * (0.0556 - 0.2))) * (0.407 / (1 - 0.407))

≈ 1.16 minutes

Therefore, on average, a customer spends approximately 1.16 minutes waiting on hold before they can start speaking to a representative.

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Answer:

  x,y = -4, -15

Step-by-step explanation:

The length sum and structural length index of both SCARA robots are equal even though their arm lengths are different.

Given prismatic link travel for both robots is 5 inches. The first robot has arm lengths of 3 inches and 1 inch. The second robot has equal arm lengths of 2 inches each. Compare the length sum and structural length index of two SCARA robots: First, calculate the length sum for each robot. Length sum for the first robot:

Length of the first arm = 3 inches

length of the second arm = 1 inch

Prismatic link travel = 5 inches

Length sum = length of first arm + length of second arm + prismatic link travel

Length sum = 3 + 1 + 5

Length sum = 9 inches

Length sum for the second robot: Length of the first arm = 2 inches

Length of the second arm = 2 inches

Prismatic link travel = 5 inches

Length sum = length of first arm + length of second arm + prismatic link

travel length sum = 2 + 2 + 5

Length sum = 9 inches, the length sum of both robots is equal.

Structural length index = (2 + 2) / 5Structural length index = 0.8

The structural length index of both robots is also equal.

Hence, the length sum and structural length index of both SCARA robots are equal even though their arm lengths are different.

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Answer:

okay i will gladly

In the experiment, the independent variable is the amount of sunlight received by the clover plants.

The amount of sunlight the clover plants receive throughout the experiment serves as the independent variable, as it is being manipulated by the experimenters to determine its effect on the size of the clover leaves.

The dependent variable is the size of the clover leaves, which is being measured as a result of the change in the independent variable (amount of sunlight). The water is a controlled variable, as it is kept constant across both conditions to eliminate its effect on the outcome.

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Answer:

4

Step-by-step explanation:

k(2/9)=4

not 8

:)

The equation of the parabola is y = 2(x - 1)² + 3

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

Vertex = (1. 3)

Point = (2, 5)

These parameters can be expressed as

(h, k) = (1, 3)

(x, y) = (2. 5)

A parabola can be represented as

y = a(x - h)² + k

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

y = a(x - 1)² + 3

Next, we have

5 = a(2 - 1)² + 3

Evaluate the difference and the exponent

5 = a + 3

So, we have

a = 2

Substitute a = 2 in y = a(x - 1)² + 3

y = 2(x - 1)² + 3

Hence, the equation is y = 2(x - 1)² + 3

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Answer:

4,5,6

Step-by-step explanation:

*The sign of ≥ means that it must be greater or equal to 10 in this case

1). 3 isn't a possible solution due to 9 being less than 10

3+6_10

9_10

9<10

2). 4 is a possible solution due to the sum of 4 and 6 being equal to 10

4+6_10

10_10

10=10

3). 5 is a possible solution due to the sum of 5 and 6 being larger than 10

5+6_10

11_10

11>10

4).6 is a possible solution due to the sum of 6 and 6 being larger than 10

6+6_10

12_10

12>10

Hope this helped! (:

The solution of the given problem of triangle comes out to be tan ∠A = 0.25.

Triangles are called polygons if they have four quadrants or more. Its form is a simple geometric figure. When put together, the characters ABC create a right-angled triangle. When the boundaries are incompatible, Euclidean geometry generates a new rectangle with square corners. Triangles are regarded as polygons because they have three edges and three corners.

Here,

Since △ABC is a right triangle with m∠C = 90°, we know that m∠A + m∠B = 90°.

Using the fact that tan ∠B = opposite/adjacent, we can set up a ratio using a common factor, x, for the opposite and adjacent sides of ∠B:

tan ∠B = 0.25 = opposite/adjacent = x/4x

Simplifying the right side, we get:

0.25 = x/4x = 1/4

Multiplying both sides by 4x, we get:

x = 4

So the opposite side of ∠B has length x = 4, and the adjacent side has length 4x = 16.

Using the Pythagorean theorem, we can find the length of the hypotenuse of △ABC:

c² = a² + b²

c² = 4²+ 16²

c² = 256

c = √256

c = 16

Now, we can use the fact that tan ∠A = opposite/adjacent to find tan ∠A:

tan ∠A = opposite/hypotenuse = 4/16 = 1/4

Therefore, tan ∠A = 0.25.

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The radian measure of the angle at the center of the circle is approximately 1.6623 radians.

We are given that the radius of the circle is 77.0 cm and the length of the intercepted arc is 128 cm. We need to find the radian measure of the angle at the center of the circle.

To solve this problem, we use the formula relating the angle at the center of a circle, the radius of the circle, and the arc length intercepted by the angle.

The formula is given byθ = s/rwhereθ = angle at the center of the circle in radians s = arc length intercepted by the angle r = radius of the circle Substituting the given values, we getθ = 128/77.0 = 1.6623 radians (rounded to four decimal places)

Therefore, the radian measure of the angle at the center of the circle is approximately 1.6623 radians.

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Step-by-step explanation:

Total letters = 11

Probability of letter M = 2/11

Probability of second M = 1/10

Two line are perpendicular to eachother if the product of their slopes is equal to -1.

That is;

From the equation of the first line;

Then,

Since the line passes through the point (3, -1).

CORRECT OPTION: D

Answer:

2500

Step-by-step explanation:

500*5

Answer: 100

Step-by-step explanation:

Because 88.9% of the data falls between approximately 47.62 and Blank.

Answer:

10

Step-by-step explanation:

33/3=11-1=10

The expression represents the number of hours in w weeks and d days is 168 W + 24 d.

The correct option is (C).

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

We know the number days in a week = 7

and, the number of hour in a day = 24

So, number of hour in a week = 24 x 7 = 168

Then, the expression number of hours

= 168 W + 24 d

where W is the weeks and d is days.

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The equation that represents the proportional relationship is y = 16x.

To find the equation that represents the proportional relationship, we need to determine the constant ratio between the values of x and y.

Let's observe the given values:

x: 1 2 3

y: 16 32 48

We can see that when x increases by 1, y increases by 16. This means that the constant ratio between x and y is 16.

To write the equation representing this proportional relationship, we can use the formula:

y = kx

Where:

y represents the dependent variable (in this case, the y-values)

x represents the independent variable (in this case, the x-values)

k represents the constant of proportionality (the ratio between x and y)

Substituting the values into the equation:

y = 16x

Therefore, the equation that represents the proportional relationship is y = 16x.

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Answer:

y=28

Step-by-step explanation:

15/21=20/y

15y=420

y=28

The function g(x) = √x / (x³ - 5x² - 14x) is continuous for all values of x greater than 7, which can be represented in interval notation as (7, ∞).

To determine the values of x for which the function g(x) is continuous, we need to consider any potential points of discontinuity. In this case, the function is a rational function, so we need to identify any values of x that would make the denominator equal to zero, as division by zero is undefined.

The denominator of g(x) is x³ - 5x² - 14x. To find the values of x that make the denominator zero, we can factor it as x(x² - 5x - 14) = 0. Solving this equation, we find that x = 0 and x = 7 are the values that make the denominator zero.

However, since the question specifies that x > 7, the interval of interest is x > 7. In this interval, the denominator of the function is always positive, ensuring that there are no points of discontinuity. Therefore, the function g(x) is continuous for all values of x greater than 7, which can be represented as (7, ∞) in interval notation.

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