Let f (x) = √x and g(x) = 1/x.
(a) f (36)
(b) (g + f )(4)
(c) (f · g)(0)

The grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them are $247

From the given function, we can see that the equivalent function for a number of 100 boxes is given as;

c(n) = 1.9n

If n = 100

c(100) = 1.9(100)

c(100) = 190

Hence the cost of 100 boxes will be $190

Given the sales function s(c) = 1. 3c, the grocery store's sales from selling cereal if the grocery store buys 100 boxes will be expressed as:

\(s(c) = 1. 3c\\s(190)=1.3(190)\\s(190)=$247\)

Hence the grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them are $247

Learn more on functions here: https://brainly.com/question/17043948

24 centimeters. Hope this helped!

The mean is 160.5, the variance is approximately 128.7225, and the standard deviation is approximately 11.35.

In this scenario, we have a binomial distribution with n = 1070 trials and a probability of success p = 0.15. The mean (μ) of a binomial distribution is given by μ = n * p, and in this case, it becomes μ = 1070 * 0.15 = 160.5.

The variance (σ²) of a binomial distribution is given by σ² = n * p * (1 - p), which in this case becomes σ²= 1070 * 0.15 * (1 - 0.15) = 128.7225.

The standard deviation (σ) is the square root of the variance, so σ = √(128.7225) = 11.35.

Therefore, for this binomial distribution with n = 1070 and p = 0.15, the mean is 160.5, the variance is approximately 128.7225, and the standard deviation is approximately 11.35. These values provide measures of the central tendency and spread of the distribution.

To know more about standard deviation click here

brainly.com/question/13336998

#SPJ11

Answer:

h = \(\frac{S-2\pi r^2}{2\pi r}\)

Step-by-step explanation:

S = 2πr² + 2πrh ( subtract 2πr² from both sides )

S - 2πr² = 2πrh ( isolate h by dividing both sides by 2πr )

\(\frac{S-2\pi r^2}{2\pi r}\) = h

The missing angle represented by 6 is 107 degrees

Supplementary angles are a pair of angles that add up to 180 degrees. In other words, if you have two angles that, when combined, create a straight line, then they are supplementary angles.

Angles on a straight line are supplementary and hence the potion that has 6 is equal to say x

x + 73 = 180

x = 180 - 73

x = 107 degrees

Supplementary angles can be found in many geometric shapes, such as triangles, quadrilaterals, and polygons.

Learn more about angles at

https://brainly.com/question/25716982

#SPJ1

The range of ages may be 39 years, it does not provide sufficient information to determine the actual distribution or spread of ages within that range.

Andy's calculation of the range of ages as 39, based on subtracting the minimum age from the maximum age (50 - 11), is incorrect. The range of a set of values represents the difference between the maximum and minimum values, but it does not necessarily reflect the actual span or dispersion of the values within that range.

In the context of ages, the range refers to the difference between the highest and lowest ages in a given group. However, this calculation alone does not provide any information about the distribution or spread of ages within that range.

For example, if a group consists of individuals with ages 11, 12, 13, 14, ..., 49, 50, the range would still be 39 years (50 - 11). However, the ages within that range are evenly distributed and not widely spread.

On the other hand, if the group has ages 11, 11, 12, 13, ..., 49, 50, the range would still be 39 years, but the ages are tightly clustered around the lower end of the range.

Therefore, while the range of ages may be 39 years, it does not provide sufficient information to determine the actual distribution or spread of ages within that range.

To learn more about the distributions;

https://brainly.com/question/29062095

#SPJ1

Answer:

The answer is 195mile

Step by step explanation:

We've

to solve this we need to draw a triangle

then we need to find the distance traveled by each after 3 hours

S(1) = t × V(1) = 3 × 52 = 156 mile

S(2) = t × V(2)= 3× 39 = 117 mile

the distance between them is our z

S(1) = x

S(2) = y

using the Pythagorean Theorem

z = √x^2 + y^2 = √(156)^2 + (117)^2 = √ 13689+24336 = √38025 = 195 mile

Answer:

-67

Step-by-step explanation:

hope it helps you can do it

Answer:

9

Step-by-step explanation:

18:2

?:1

?=9

Answer:

9 seats

Step-by-step explanation:

divide 18 by 2 to find how many seats are in each row, or 1 row

Answer:

2/3

Step-by-step explanation:

There are 3 odd numbers in a dice which equals 1/2. Then there is 1/6 of a chance of rolling a 3. So it would be 1/2 + 1/6=4/6 which simplifies to 2/3.

( x = 0 \) and \( a \), the expression \( A \cdot C \) simplifies to 0.

In the given expression, \( A \cdot C \), the variables \( A \) and \( C \) are being multiplied together.

However, the question also provides additional information, stating that \( x = 0 \) and \( a \). It is not clear what value \( a \) represents, so we will need more information to determine its significance in the expression.

As for the value of \( x \), since it is given that \( x = 0 \), we can substitute this value into the expression.

So, \( A \cdot C \) becomes \( A \cdot C \cdot 0 \).

Multiplying any number by zero will always result in zero, regardless of the value of \( A \) or \( C \).

Therefore, \( A \cdot C \cdot 0 = 0 \).

To summarize, when \( x = 0 \) and \( a \), the expression \( A \cdot C \) simplifies to 0.

Learn more about expression in the link:

https://brainly.com/question/1859113

#SPJ11

Answer:

= -32

Step-by-step explanation:

-18 - (+14)

-18 - 14

-32

Espero esto te ayude!

Answer:

i dont understand spanish sorry

-18-14=-32

Step-by-step explanation:

ahoj odpoveď je 你好，答案是

The vertices of any planar graph can be colored in no more than 6 colors without any two adjacent vertices sharing the same color.

To prove by induction that the vertices of any planar graph can be colored in no more than 6 colors with no two vertices connected by an edge sharing the same color, we will use the concept of the Four Color Theorem.

The Four Color Theorem states that any planar graph can be colored with no more than four colors in such a way that no two adjacent vertices have the same color.

However, we will extend this theorem to use six colors instead of four.

Base case:

For a planar graph with a single vertex, it can be colored with any color, so the statement holds true.

Inductive hypothesis:

Assume that for any planar graph with k vertices, it is possible to color the vertices with no more than six colors without any adjacent vertices having the same color.

Inductive :

Consider a planar graph with k+1 vertices. We remove one vertex, resulting in a subgraph with k vertices.

By the inductive hypothesis, we can color this subgraph with no more than six colors such that no two adjacent vertices share the same color.

Now, we add the removed vertex back into the graph. This vertex is connected to some number of vertices in the subgraph.

Since there are at most six colors used in the subgraph, we can choose a color that is different from the colors of the adjacent vertices.

Thus, we have colored the graph with k+1 vertices using no more than six colors, satisfying the condition that no two adjacent vertices share the same color.

By the principle of mathematical induction, we can conclude that the vertices of any planar graph can be colored with no more than six colors, ensuring that no two adjacent vertices share the same color.

learn more about adjacent

brainly.com/question/22880085

#SPJ11

Answer:

24

Step-by-step explanation:

24/3 =8

8=1/3

The answer is: Oscar's number is 210.

What is Sum?

In mathematics, the sum is the result of adding two or more numbers or quantities together. It is a basic arithmetic operation and is often denoted by the symbol "+".

To solve this question, we need to find a number that satisfies the following conditions:

The number is between 200 and 220.

The number is divisible by 6.

The sum of all the digits is 3.

Let's start by finding all the multiples of 6 that are between 200 and 220:

204 = 2 + 0 + 4 = 6

210 = 2 + 1 + 0 = 3

216 = 2 + 1 + 6 = 9

Out of these numbers, only 210 has a sum of digits that is equal to 3. Therefore, the number that Oscar is thinking of is 210.

To check that 210 is between 200 and 220, we can see that it is indeed between the two numbers:

200 < 210 < 220

And to check that 210 is divisible by 6, we can see that:

210 ÷ 6 = 35

Therefore, the answer is: Oscar's number is 210.

Learn more about Sum

https://brainly.com/question/24205483

#SPJ1

The point at which this cable would pass through the road shown is at the y-intercept of (0, -17/2).

Mathematically, the slope of a straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

By critically observing the road shown in the graph above, the points on the line include the following:

Points (x, y) = (0, -2)

Points (x, y) = (-3, 0)

Substituting the given points into the formula, we have;

Slope, m = (0 + 2)/(-3 - 0)

Slope, m = 2/-3

Slope, m = -2/3.

In Mathematics, a condition that must be met for two lines to be perpendicular is given by:

m₁ × m₂ = -1

-2/3 × m₂ = -1

-2m₂ = -3

m₂ = 3/2

At point (7, 2), a linear equation for the line can be calculated by using the point-slope form:

y - y₁ = m(x - x₁)

Where:

Substituting the given points into the formula, we have;

y - 2 = 3/2(x - 7)

y - 2 = 3x/2 - 21/2

y = 3x/2 - 21/2 + 2

y = 3x/2 - 17/2

At the y-intercept of (0, -17/2), the cable pass through the road.

Read more on slope here: brainly.com/question/3493733

#SPJ1

Answer:

C.

Step-by-step explanation:

-6 4/5 and 64/5 are opposites or a zero pair so when you add them you get zero.

Answer:

Option D. 82.8°

Step-by-step explanation:

From the figure attached,

By using Cosine rule in the given triangle ABC,

AC² = AB² + BC ² - 2(AB)(BC)cosB

(12)² = (8)² + (10)² - 2(8)(10)cosB

144 = 64 + 100 - 160.(cosB)

144 = 164 - 160.(cosB)

160.(cosB) = 164 - 144

cosB = \(\frac{20}{160}\)

cosB = \(\frac{1}{8}\)

B = \(\text{cos}^{-1}(0.125)\)

B = 82.82°

B ≈ 82.8°

Therefore, Option D. will be the answer.

Answer:

He had 3 2/5 pies left when he got home.

Step-by-step explanation:

Hope this helped have an amazing day!

The fraction of candy cane pies that Dasher left is 8/5.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, if we divide two numbers by each other then the upper word is called the numerator, and the lower word is called the denominator.

As per the given,

Number of candy cane pies that Dasher order = 4

Fraction he ate = 3/5

Left = 4 - ate

Left = 4 - (3/5)4

Left = 4(1 - 3/5)

Left = 4(2/5)

Left = 8/5

Hence "The fraction of candy cane pies that Dasher left is 8/5".

For more about fractions,

https://brainly.com/question/10354322

#SPJ2

Answer:

0.10204081

Step-by-step explanation:

Answer:u want me 2 divide 14 from 137.2?

Step-by-step explanation:

If so the answer is 9.8

If not tell me the question in the comment section

Answer:

∠ 1 = 149°, ∠ 2 = 31°

Step-by-step explanation:

∠ 1 and 31° are same-side interior angles and are supplementary, thus

∠ 1 = 180° - 31° = 149°

∠ 2 and 31° are alternate angles and congruent, thus

∠ 2 = 31°

Answer:

If two triangles are similar, the ratio of their corresponding side lengths is the same as the ratio of their areas.

We know that the area of the first triangle is 18 cm^2, and the area of the second triangle is 8 cm^2. So, the ratio of their areas is 18/8 = 9/4

We also know that one of the sides of the first triangle is 4.5 cm.

So the ratio of the corresponding side of the second triangle to the first triangle is:

(length of corresponding side of second triangle) / 4.5 = 9/4

We can cross-multiply and solve for the length of the corresponding side of the second triangle:

4.5 * (9/4) = 9 * (9/4) / 4 = 9 * 2.25 / 4 = 20.25 / 4 = 5.0625 cm

So, the length of the corresponding side of the second triangle is 5.0625 cm.

The expression for the magnetic flux through the hemispherical surface of the bowl is EπR².

Hemisphere:

The word hemisphere can be divided into hemisphere and sphere. Hemisphere means half, and sphere means three-dimensional shape in mathematics. Thus, a hemisphere is a three-dimensional geometric shape that is a hemisphere that is flat on one side and a round bowl on the other. It is formed when a sphere is cut exactly down the center along its diameter, leaving two identical hemispheres.

The volume of a hemisphere is the number of unit cubes that can fit inside it. The units of volume are cubic units, such as m³, cm³, ft³ and so on.

The volume of a hemisphere = 2/3πr³

where

r is the radius of the hemisphere.

According to the Question:

Flux passing through the curved surface is equal to the flux passing through the flat surface.

Since flux through the flat surface    

ϕ flat = E× Area

         = E× πR²

The electric flux through a closed surface is 1/E₀ times the total charge unclosed.

By Gauss's law, flux ,

Since number of field lines entering from circular side is equal to number of field lines leaving the hemispherical surface, net flux is 0.

Therefore,

(Flux)h + (flux)c = 0     -------------------------(1)

[* (flux)h means flux from hemispherical surface and (flux)c means flux from circular surface]

Therefore,

(flux)h = - (flux)c     ---------------------------- (2)

Flux = E.A [ Where E and A are vectors ]

Flux = E A cos θ

(Flux)c = EA cos π [ Because field and surface area vector are anti parallel]

(flux)c = E πR² (-1)    ------------------------------ (3)

From equation (2) and (3)

   (flux)h = - (- EπR²)

⇒ (Flux)h = EπR²

Learn more about Expression:

https://brainly.com/question/14083225

#SPJ4

The evolution of the Korean fashion industry has had strategic implications for Korean fashion firms' global expansion strategies. As the market has become stagnant and global luxury and SPA brands have aggressively entered the market, local fashion firms have faced challenges in sustaining their growth momentum.

To overcome these challenges, Korean fashion firms have adopted diverse strategies, including direct entry, licensing, and acquisitions, to successfully tap into the global market. Kolon FnC, one of the five affiliates of Kolon Industries, has focused on its strength in the sports and outdoor segment to differentiate itself from its global competitors.

Kolon FnC has implemented several strategic moves to enhance its global expansion. Firstly, it has diversified its fashion portfolio by acquiring small-sized designer shops and fashion accessory shops since 2010. This allows the company to offer a wider range of products and create a young and vibrant brand image.

Additionally, Kolon FnC has collaborated with artists to create new value and attract consumers. By leveraging its R&D capability for new garment materials, led by its sister affiliate Kolon Fashion Material, the company can stay innovative and meet the demands of the global market.

In comparison to its major local competitors, Kolon FnC's global expansion strategy stands out. While Korean fashion firms typically focus on licensing or acquiring foreign brands, Kolon FnC has taken a different approach by acquiring small-sized designer shops and fashion accessory shops. This unique strategy allows them to have more control over their brand image and product offerings.

Based on the comparative analyses of Kolon FnC and its competitors, future strategic directions for Kolon FnC can be recommended. Firstly, the company should continue to focus on attracting talented young designers in Korea to differentiate itself from global competitors. This can be a viable source of competitive advantage in the global fashion industry.

Additionally, Kolon FnC should further enhance its R&D capability to develop new garment materials. This will enable the company to stay ahead in terms of innovation and meet the changing demands of consumers.

Overall, the strategic implications of the evolution of the Korean fashion industry have prompted Korean fashion firms, including Kolon FnC, to adopt diverse global expansion strategies. By focusing on their strengths, diversifying their fashion portfolio, collaborating with artists, and enhancing their R&D capability, these firms can position themselves competitively in the global market.

Know more about  fashion industry here:

https://brainly.com/question/32771205

#SPJ11

In light of this, the likelihood of drawing a club followed by a four from a typical 52-card deck with replacement is roughly 0.014, rounded to three decimal places.

Probability is an evaluation of an event's potential or chance of occurring. It is a number between zero and 1, where 0 denotes an impossibility and 1, a certainty, respectively, for an event. The number of favourable outcomes is divided by the total number of potential scenarios to determine the likelihood of a particular circumstance. Several disciplines, including math, statistics, science, construction, economics, and finance are heavily reliant on probability.

given

Due to the fact that there are 13 clubs in a deck of 52 cards, the likelihood of drawing a club on the initial draw is 13/52.

Given that the first card was a club, the likelihood of drawing a four on the second draw is 3/52.

We can compound the odds of the two events to determine the likelihood of drawing a club followed by a four with replacement:

P(club, then four) is equal to P(club) * P(four | club) (13/52) * (3/52), which equals 0.014.

In light of this, the likelihood of drawing a club followed by a four from a typical 52-card deck with replacement is roughly 0.014, rounded to three decimal places.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ1

There are 347,760 ways to arrange the 9 balls of colors red, green, and blue such that no two blue balls are next to each other. The principle of inclusion-exclusion is used to solve this problem.

First, we calculate the total number of ways to arrange the 9 balls without any restrictions. This can be done using the formula for permutations of n objects, which is n! (n factorial) in this case. So we have:

9! = 362,880

Next, we calculate the number of ways to arrange the balls with two blue balls next to each other. We can treat the two blue balls as a single object and arrange the remaining 7 objects in 7! ways. However, we also need to consider the 3 different ways to choose which two blue balls are next to each other. So we have:

3 x 7! = 15,120

Finally, we need to subtract the number of arrangements with two blue balls next to each other from the total number of arrangements to get the number of arrangements without any two blue balls next to each other:

9! - 3 x 7! = 347,760

Therefore, there are 347,760 ways to arrange the 9 balls of colors red, green, and blue such that no two blue balls are next to each other.

Learn more about inclusion-exclusion at

brainly.com/question/10927267

#SPJ4

The coffee filter will fall at a constant speed, with no acceleration.

For a falling coffee filter, the free body diagram at the instant when it is released will include two forces: the gravitational force acting downwards and the air resistance acting upwards. The gravitational force will be larger than the air resistance force, causing the coffee filter to accelerate downwards. At terminal velocity, the air resistance force will be equal in magnitude to the gravitational force, resulting in a net force of zero and no acceleration.

At the instant when the coffee filter is released, the free body diagram will show that the gravitational force (Fg) acting downwards is greater than the air resistance force (Fa) acting upwards. Therefore, the coffee filter will experience a net force downwards and accelerate downwards at a rate of 9.8 m/s². As the coffee filter gains speed, the air resistance force will increase until it reaches a point where it is equal in magnitude to the gravitational force, resulting in a net force of zero. This is known as terminal velocity, and the free body diagram will show that the gravitational force and the air resistance force are equal in magnitude.

Therefore, the coffee filter will fall at a constant speed, with no acceleration.

To learn more about acceleration here:

brainly.com/question/12550364#

#SPJ11