Jaxon goes to a store an buys an item that costs xx dollars. He has a coupon for 20% off, and then a 4% tax is added to the discounted price. Write an expression in terms of xx that represents the total amount that Jaxon paid at the register

The value of IQR is 90 when box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290.

Given that,

For box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290

We have to find the data of IQR.

We know that,

IQR is define as the variation in the distribution of your data's middle quartile is measured by the interquartile range (IQR). It is the range that corresponds to your sample's middle 50%. Measure the variability where the majority of your numbers are by using the IQR.

IQR Formula is Q₃ - Q₁

So,

Q₃ = 290

Q₁ = 200

Then ,

IQR = Q₃ - Q₁

IQR = 290 - 200

IQR = 90

Therefore, The value of IQR is 90.

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The child passes through 18π radians in the course of the carousel ride.

To determine the number of radians the child passes during the 6-minute ride on the carousel, we need to know the distance traveled in terms of radians.

Since there are 20 horses spaced evenly around the carousel, each horse is separated by an angle of 360/20 = 18 degrees or π/10 radians.

Therefore, during one rotation of the carousel, the child passes through 20π/10 = 2π radians. And since the carousel completes one rotation every 40 seconds, the angular velocity is 2π/40 = π/20 radians per second.

To find the total distance traveled in radians during a 6-minute ride, we need to multiply the angular velocity by the time elapsed.

6 minutes is equal to 360 seconds,

so the child passes through π/20 x 360 = 18π radians during the ride.

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Answer:

Step-by-step explanation:

Selling price = Cost price + Marked price - discount

            s   =  c + m - d

Answer:

47/20 = 2 7/20 = 2.35

Step-by-step explanation:

3/5+2 1/4 = 3/5+9/4 = 3x4/20+9x5/20 = 12/20+45/20 =  47/20

2 7/20= 2.35

Answer:

-4 7/12 There hope the answer helps

Step-by-step explanation:

The given table of the values of f(x) is used to complete the table for the function \(y = f \left( \frac{1}{5} \cdot x \right) \), to give;

The following values of x and y as follows;

x: -0.8, -0.2, 0, 0.6, 1.2

y: 7, -2, 3, -4, 5

Please also see the attached table

The question is with regards to scaling a graph horizontally.

Using the rule of scaling a graph, we have;

Given that a point on the graph of f(x) is (x, y), the corresponding point in the graph of f(C•x) is (C•x, y).

The given modification of the function is presented as follows;

\(y = f \left( \frac{1}{5} \cdot x \right) = f \left( 0.2 \cdot x \right)\)

The points on the graph that completes the table are therefore;

The completed table is therefore;

x y

-0.8 7

-0.2. -2

0 3

0.6. -4

1.2. 5

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Answer:

Ms. Davis=83 years

Her mom=126.33 years

Her daughter=66.67 years

Step-by-step explanation:

Let her mother's age=x

Ms. Davis= 7 dozens - 1

=(7*12)-1

=84-1

= 83 years

Ms. Davis= 7.2 + 60% of x

83=7.2 + .6x

83 - 7.2= .6x

75.8= .6x

Divide both sides by .6

75.8 / .6 = x

126.33 years

Ms. Davis daughter = 3.5 + 1/2 of x

=3.5 + 1/2(126.33)

=3.5 + 126.33 / 2

=3.5 + 63.165

=66.665

Approximately 66. 67 years

The time taken for the amount in the account to grow to $20,000 if interest is compounded continuously is 10.37 years (rounded to two decimal places).

a) The formula for the amount A in the account after t years if interest is compounded monthly is:

\(A(t) = P ( 1 + r/n)^(nt)\)

Where,

P = $11,000

r = 0.053 / 12

= 0.0044166667 (monthly interest rate)

n = 12

t = number of years

So,

\(A(t) = 11,000 ( 1 + 0.0044166667)^(12t)\)

We simplify the equation as follows:

\(A(t) = 11,000 ( 1.0044166667)^(12t)\)

b) The amount in the account after 4 years if interest is compounded daily is $14,598.08 (rounded to two decimal places).

The formula for the amount A in the account after t years if interest is compounded daily is:

\(A(t) = P ( 1 + r/n)^(nt)\)

Where,

P = $11,000

r = 0.053 / 365

= 0.00014520548 (daily interest rate)

n = 365

t = 4 × 365

= 1460 (number of days)

So,

\(A(t) = 11,000 ( 1 + 0.00014520548)^(1460)\)

A(t) = 14,598.08

(rounded to two decimal places)

The amount in the account after 4 years if interest is compounded daily is $14,598.08.

c) The time taken for the amount in the account to grow to $20,000 if interest is compounded continuously is 10.37 years (rounded to two decimal places).

We use the formula:

\(A = Pe^(rt)\)

Where,

P = $11,000

r = 0.053

t = unknown

A = $20,000

We substitute the values and solve for t:

\(20,000 = 11,000e^(0.053t)\\t = ln(20,000/11,000) / 0.053\)

t = 10.37 years (rounded to two decimal places)

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Answer:

Is that your answer ☺️☺️☺️

The area of the circle formula is useful for measuring the space occupied by a circular field or a plot. A circle is a closed plane geometric shape. The area of the circle with diameter 20 in is 100 π inches².

The area of the circle is defined as the region occupied by the circle in a two dimensional plane. The diameter of the circle is the line which divides the circle into two equal parts and radius is half of the diameter.

The unit of area of a circle is m², cm², etc. The equation used to calculate the area of the circle is:

Area of a circle = π × r²

Here radius = 10 inches

Then the area of circle is given as:

Area = π × 10 × 10 = 100 π inches²

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When a vendor sell a yellow balloon randomly from 18 balloons for sale out of which 9 are yellow, 3 are red, and 6 are green, the probability that the next balloon selected at random is also yellow is 8/ 17.

Therefore the answer is 8 over 17.

There are total of 18 balloons for sale and out of that 9 are yellow.

After selling a yellow balloon, the total number of balloon remaining is

18 - 1 = 17

And the number of yellow balloon remaining is

9 - 1 = 8

So now the probability of selecting a yellow balloon randomly is given by dividing the number of yellow balloons remaining by the total number of balloon remaining, that is

Probability = 8/ 17

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The area left for children for playing 114464 sq. m

As per the given data inside a park:

The length of the park is 400 m

The breadth of the park is 300 m

The formula for the area of the park = Length × Breadth

= (400 × 300) sq. m

= 120000 sq. m

The width of the walking track inside the park is 4 m

The length of the park without the walking track

= 400 − (4 + 4) m

= 400 − 8 m

= 392 m

The breadth of the park without the walking track

= 300 − (4 + 2) m

= 300 − 8 m

=292 m

Area of the park without the walking track:

= 392 × 292

= 114464 sq. m

Therefore the area left for children for playing other than the walking track is 114464 sq. m.

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The value of variable a, when b = 6 and c =13/2 as given in the task content is; a = 2.5.

It follows from the task content that the value of the variable, a in discuss be determined by means of the equation which relates all three variables;

a² + b² = c²

a² +6² = (13/2)²

a² = 42.25 - 36

a² = 6.25

a = 2.5

Ultimately, the value of variable a, when b = 6 and c =13/2 as given in the task content is; a = 2.5.

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Answer:

150 Square feet

Step-by-step explanation:

15 feet long

10 feet wide

Area = length x width

15 x 10 = 150

150 Square feet

Hope this helped!

Answer:

x=28

Step-by-step explanation:

\(\huge\bold{To\:find:}\)

✎ The value of \(x\).

\(\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}\)

\(\sf\purple{The\:value\:of\:x\:is\:28°. }\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)

Since it is right-angle,

\(Sum \: of \: angles \: = 90° \\ ⇢ (2x + 1) + 33 ° = 90° \\ ⇢2x + 34° = 90° \\ ⇢2x = 90° - 34° \\⇢ 2x = 56° \\⇢ x = \frac{56° }{2} \\ ⇢x = 28° \)

\(\sf\blue{Therefore,\:the\:value\:of\:x\:is\:28°.}\)

\(\huge\bold{To\:verify :}\)

\((2x + 1) + 33° = 90° \\ ➡ \: 2 \times 28° + 1 + 33° = 90° \\ ➡ \: 56° + 34° = 90° \\ ➡ \: 90° = 90° \\ ➡ \: L.H.S.=R. H. S\)

Hence verified.

\(\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘\)

Answer:

The quotient of 8 and d.

Step-by-step explanation:

I hope this helps you have a wonderful day! :D

The area of the surface obtained by rotating the circle \(x^2 + y^2 = r^2\) about the line y = r is π²r² square units.

To find the area of the surface obtained by rotating the circle

\(x^2 + y^2 = r^2\) about the line y = r, we can use the method of cylindrical shells.

The circle \(x^2 + y^2 = r^2\) is centered at the origin (0, 0) with a radius r. The line y = r is the line y-axis but shifted up by r units.

When we rotate the circle about the line y = r, it forms a 3D shape called a torus or a donut shape.

Consider a small strip on the circle at a distance y from the line y = r.

This small strip is at a distance r - y from the y-axis.

The length of this strip is the circumference of the circle at y, which is 2πy (since the circumference of a circle is 2π times its radius).

The width of this strip is the change in x, which we can denote as dx.

The area of this small strip is then given by the product of its length and width, which is 2πy dx.

Now, to find the total surface area, we integrate this area over the range of y values from -r to r (since the circle is symmetric about the y-axis):

Total Surface Area = ∫[from -r to r] 2πy dx

Now, we need to express y in terms of x using the equation of the circle \(x^2 + y^2 = r^2:\\y^2 = r^2 - x^2\)

y = ±√(r² - x²)

Since we are considering the upper half of the circle, we take the positive square root:

y = √(r² - x²)

Now, we can rewrite the integral with respect to x:

Total Surface Area = ∫[from -r to r] 2π√(r² - x²) dx

To solve this integral, we can make a trigonometric substitution:

Let x = r sin(θ), then dx = r cos(θ) dθ.

When x = -r, θ = -π/2, and when x = r, θ = π/2.

Now the integral becomes:

Total Surface Area = ∫[from -π/2 to π/2] 2π√(r² - (r sin(θ))²) (r cos(θ)) dθ

Total Surface Area = 2πr² ∫[from -π/2 to π/2] √(1 - sin²(θ)) cos(θ) dθ

Now, we can use the trigonometric identity:

sin²(θ) + cos²(θ) = 1

√(1 - sin²(θ)) = cos(θ)

Total Surface Area = 2πr² ∫[from -π/2 to π/2] cos²(θ) dθ

Now, use the trigonometric identity: cos²(θ) = (1 + cos(2θ))/2

Total Surface Area = 2πr² ∫[from -π/2 to π/2] (1 + cos(2θ))/2 dθ

Total Surface Area = 2πr² [θ/2 + (sin(2θ))/4] [from -π/2 to π/2]

Total Surface Area = 2πr² [(π/2 + sin(π) - (-π/2 + sin(-π)))/4]

Since sin(π) = 0 and sin(-π) = 0:

Total Surface Area = 2πr² [(π/2 - (-π/2))/4]

Total Surface Area = 2πr² (π/2)

Total Surface Area = π²r²

So, the area of the surface obtained by rotating the circle \(x^2 + y^2 = r^2\) about the line y = r is π²r² square units.

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Answer:

that would equal 2 I hope this helps you

Answer:

Step-by-step explanation:

Isosceles Obtuse.

It is obtuse because the largest angle is over 90.

It is Isosceles because the two base angles are equal.

If you get it wrong, it is because the question assumes that the two base angles are acute (which they are) but for this question I think you are referring to the lone angle at the top.

Answer:

18vw²y^9 + 24v^6w^5

= 6vw²( 3y^9 + 4v^5w³)

Hope this helps.

Answer:

6vw^2(3y^9 + 4v^5w^3)

Step-by-step explanation:

If you were to multiply the equation 6vw^2(3y^9 + 4v^5w^3) then the result would be

18vw^2y^9 + 24v^6w^5

Hope this helps!

Andrew needs to score 99 on his fifth science test in order to have an average of 93 across all five tests.

To find out what score Andrew needs to earn on his fifth science test, we can use the concept of averages. The average of a set of numbers is calculated by adding up all the numbers and then dividing the sum by the total number of values.

Andrew has already taken four science tests, and their scores are given as 87, 89, 97, and 95. To calculate the average, we add up these four scores: 87 + 89 + 97 + 95 = 368.

Now, we need to consider the fifth test score that Andrew needs to achieve. Let's call it x. To have an average of 93 across all five tests, we need to divide the sum of all the scores (including the fifth test score) by 5 (the total number of tests): (368 + x) / 5 = 93.

We can solve this equation for x by isolating it on one side. Multiplying both sides by 5 gives us 368 + x = 465. By subtracting 368 from both sides, we find x = 465 - 368 = 97.

Therefore, Andrew needs to score 97 on his fifth science test to have an average of 93 across all five tests.

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X = 21

Y = 30

X:

(3x - 15) + (6x + 6) = 180 -- combine like terms

9x - 9 = 180 -- add 9 to both sides

9x = 189

x = 21

Y:

Plug x into 3x-15

3(21) - 15 = y + 18

63 - 15 = y + 18

48 = y + 18 -- subtract 18 from both sides

y = 30

DI is generally considered to provide the highest level of control to investing firms compared to other modes of entry.

The mode of entry that offers the highest level of control to the investing firms is d. FDI (Foreign Direct Investment).

Foreign Direct Investment refers to when a company establishes operations or invests in a foreign country with the intention of gaining control and ownership over the assets and operations of the foreign entity. With FDI, the investing firm has the highest level of control as they have direct ownership and decision-making authority over the foreign operations. They can control strategic decisions, management, and have the ability to transfer technology, resources, and knowledge to the foreign entity.

In contrast, the other modes of entry mentioned have varying levels of control:

a. Contractual Agreements: This involves entering into contractual agreements such as licensing, franchising, or distribution agreements. While some control can be exercised through these agreements, the level of control is typically lower compared to FDI.

b. Joint Venture: In a joint venture, two or more firms collaborate and share ownership, control, and risks in a new entity. The level of control depends on the terms of the joint venture agreement and the ownership structure. While some control is shared, it may not offer the same level of control as FDI.

c. Equity Participation: Equity participation refers to acquiring a minority or majority stake in a foreign company without gaining full control. The level of control depends on the percentage of equity acquired and the governance structure of the company. While equity participation provides some level of control, it may not offer the same degree of control as FDI.

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The exponential function between (-1, 2/5) and (3, 250) is as follows:

\(f(x) = 2 * 5^x\)

By combining the fourth roots from both sides, we arrive at:

b = 5

When we use the expression we discovered for a and this value of b, we get:

a = (2/5) * 5 = 2

As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:

\(f(x) = 2 * 5^x\)

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

from the question:

This is the shape of the exponential function:

f(x) = a *\(b^x\)

where a represents the starting point and b represents the exponential function's base.

We must solve the system of equations to determine the values of a and b that meet the requirements:

a * \(b^(-1)\) = 2/5 (equation 1) 

a *\(b^3\)= 250 (equation 2) 

We can solve for an in equation 1 by multiplying both sides by b:

a = (2/5) * b

Substituting this expression into equation 2, we get:

(2/5) * b *\(b^3\) = 250

Simplifying, we get:

\(b^4 = 3125\)

By combining the fourth roots from both sides, we arrive at:

b = 5

When we use the expression we discovered for a and this value of b, we get:

a = (2/5) * 5 = 2

As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:

\(f(x) = 2 * 5^x\)

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Answer:

B

Step-by-step explanation:

Given

\(\frac{1}{(t-2)^2}\) = 6 + \(\frac{1}{(t-2)}\) ( multiply through by (t - 2)²

1 = 6(t - 2)² + t - 2 ← distribute parenthesis and simplify

1 = 6(t² - 4t + 4) + t - 2

1 = 6t² - 24t + 24 + t - 2

1 = 6t² - 23t + 22 ( subtract 1 from both sides )

6t² - 23t + 21 = 0 ← in standard form

(2t - 3)(3t - 7) = 0 → in factored form

Equate each factor to zero and solve for t

2t - 3 = 0 ⇒ 2t = 3 ⇒ t = \(\frac{3}{2}\) ← p

3t - 7 = 0 ⇒ 3t = 7 ⇒ t = \(\frac{7}{3}\)  ← q

Thus

p × q = \(\frac{3}{2}\) × \(\frac{7}{3}\) = \(\frac{21}{6}\) = \(\frac{7}{2}\) → B

Answer:

y=cx-b/a

Step-by-step explanation:

ay+b=cx

ay=cx-b

y=cx-b/a

Since the two distinct integers are chosen from between 5 and 17, inclusive. The probability that their product is odd is 7/26.

Probability:

Probability means possibility. A branch of mathematics that deals with the occurrence of random events. Values ​​are represented from 0 to 1. Probability was introduced into mathematics to predict the likelihood of an event occurring. Probability basically means how likely something is to happen. This is the basic theory of probability and is also used in probability distributions to learn the likely outcomes of random experiments. To determine the probability of a single event occurring, we first need to know the total number of possible outcomes.

According to the question:

In order for a product to be odd, both factors must be odd. That is because by definition a number with an even factor is even.

There are 13 numbers from 5 to 17 inclusive. 7 of them are odd. There is a  7/13 probability that the first number selected will be odd. Given that the first number selected is odd, there is a 6/12 = 1/2 probability that the next number will be odd given that the second number selected has to be different from the first.

                     =   7/13 × 1/2

                     =  7/26

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Answer: x = 18.9 to 1dp

Step-by-step explanation: Using SOH CAH TOA,

Sin 25 = 8/x

Making x subject of the formula:

x = 8/Sin 25

x = 18.92961267

x = 18.9 to 1dp

Answer:

40.5

Step-by-step explanation:

Since the centroid (the point of concurrency of the sides of a triangle) divides the 3 medians into the ratios from the point to the centroid to the centroid to the side into the ratio of 2:1. To find PK divide 27 by 2

27/2=13.5

Then add 27 and 13.5 to get KL

27+13.5=40.5

Answer:

Step-by-step explanation:

17 + 4 = 21

Answer:

B + 4 = 17+4

21 is the answer

Answer:

y= 4x-7

Step-by-step explanation:

I could be wrong this is what I got so I apologize if this is incorrect