Which graph shows the solution to the inequality Negative 3 x minus 7 less-than 20

The volume of the empty space is 30.49 cubic inches if the sphere with a 2-inch radius is packed in a cube so that all sided touch.

It is defined as three-dimensional geometry that has six square faces and eight vertices.

We have a sphere with a 2-inch radius is packed in a cube so that all sided touch.

The volume of the sphere = (4πr³)/3 = (4π(2)³)/3 = 33.51 cubic inches

The side length of the cube = 4 inches

Because diameter of the sphere is 4 inches and all sided touch to the cube face.

Volume of the cube = 4³ = 64

The volume of the empty space = 64- 33.51 = 30.49 cubic inches

Thus, the volume of the empty space is 30.49 cubic inches if the sphere with a 2-inch radius is packed in a cube so that all sided touch.

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"The revenue is always more than the cost," is the incorrect statement in relation to the profit business model. It is untrue that the revenue is always greater than the cost since the cost of manufacturing and providing the service must be considered as well.

The profit business model is a business plan that helps a company establish how much income they expect to generate from sales after all expenses are taken into account. It outlines the strategy for acquiring customers, establishing customer retention, developing the sales process, and setting prices that enable the business to make a profit.

It is important to consider that the company will only make a profit if the total revenue from sales is greater than the expenses. The cost of manufacturing and providing the service must be considered as well. The revenue from selling goods is reduced by the cost of producing those goods.

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Answer:

1/-5 should be the answer

53 socks : 21 identical blue, 15 identical black and 17 identical red

How many socks must he take out to make 100 percent he has a pair of bllack socks?

He must take the following number of socks out of the drawer:

21 -> blue socks

17 -> red sock

2 -> black socks

For a total of 40

Answer:

A standard form of a linear equation would look like this Ax+ By = C A x + B y = C

Step-by-step explanation:

Thee volume of the cone has a value of 1, 739. 60 cubic feet

The formula for calculating the volume of a cone is expressed as;

V = πr²h/3

Where;

From the information given, we have the values as;

Diameter = 19

But radius = Diameter/2

Now, radius = 18. 7/2 = 9.35 ft

Substitute the values into the formula

Volume = 3. 142( 9.35)² × 19/3

Find the value of the square

Volume = 3. 142(87. 42) × 6. 3

Multiply the values

Volume = 1, 739. 60 cubic feet

Hence, the value is 1, 739. 60 cubic feet

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Answer:

b) Binomial

Step-by-step explanation:

Binomials, Monomials, Trinomials and etc simply denote the number of terms in the expression. In this case, 2xy is one term, and 5 is another term. That is a total of 2 terms, so it is a Binomial.

Please mark me

Answer:

13500

Step-by-step explanation:

4,500 miles per 10 mintues and you need to find it for half an hour so

4500x3=13500

Company: Amazon, 8 Steps in the Business Model: Define the value proposition. What value does Amazon offer its customers? Amazon offers a convenient and affordable way to shop for a wide variety of products.

Identify the target market. Who are Amazon's customers? Amazon's target market is people who want to buy products online.

Determine the revenue streams. How does Amazon make money? Amazon makes money through product sales, advertising, and subscription fees.

Assess the cost structure. What are Amazon's costs? Amazon's costs include salaries, rent, and marketing.

Develop a marketing plan. How will Amazon reach its target market? Amazon's marketing plan includes online advertising, search engine optimization, and social media marketing.

Create a sales strategy. How will Amazon sell its products? Amazon's sales strategy includes a focus on customer service and convenience.

Build a team. What skills and experience does Amazon need to build a successful business? Amazon needs a team with a variety of skills, including product development, marketing, and sales.

Continuously improve. How will Amazon ensure that its business model is successful? Amazon will continuously improve its business model by listening to customer feedback and adapting to changes in the market.

The 8 steps in the business model are essential for any company that wants to be successful. By following these steps, companies can ensure that they are offering a valuable product or service to the right customers, and that they are able to make money.

In the case of Amazon, the company has clearly defined its value proposition, target market, and revenue streams.

Amazon's marketing plan is also effective, and the company has built a team with the skills and experience necessary to be successful. Finally, Amazon is committed to continuous improvement, which is why the company has been so successful over the years.

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The approximate change formula for a function z=f(x, y) at the point (a, b) in terms of differentials is given by Δz ≈ ∂z/∂x |(a, b) dx + ∂z/∂y |(a, b) dy

Function is equal to,

z=f(x, y)

In terms of differential the approximate change formula at (a, b) is,

Δz ≈ ∂z/∂x |(a, b) dx + ∂z/∂y |(a ,b) dy

where,

Δz is the approximate change in z

∂z/∂x is the partial derivative of z with respect to x

∂z/∂y is the partial derivative of z with respect to y

dx is the small change in x

dy is the small change in y

The vertical bars indicate that the partial derivatives are evaluated at the point (a, b).

This formula represents the total differential of z at the point (a, b).

Which is the linear approximation of the change in z due to small changes in x and y.

It is based on the assumption,

That the change in z is approximately proportional to the changes in x and y and is valid for small changes in x and y.

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Answer:\(\frac{1}{64}^{th}\)

Step-by-step explanation:

Given

Suppose V is the original volume of cone having r as radius and h as height

If we multiply all the linear dimensions of ac one by \(\frac{1}{4}^{th}\)

the \(r'=\frac{r}{4}\)

\(h'=\frac{h}{4}\)

Therefore new volume is

\(V'=\frac{1}{3}\pi r'^2h'\)

\(V'=\frac{1}{3}\pi (\frac{r}{4})^2(\frac{h}{4})\)

\(V'=\frac{1}{64}\times \frac{1}{3}\pi r^2h\)

\(V'=\frac{V}{64}\)

So new volume becomes \(\frac{1}{64}^{th}\) of the original one

#33

\(\\ \sf\longmapsto \dfrac{300(300+1)}{2}\)

\(\\ \sf\longmapsto \dfrac{300(301)}{2}\)

\(\\ \sf\longmapsto 150(301)=45150\)

#34

\(\\ \sf\longmapsto \dfrac{500(500+1)}{2}\)

\(\\ \sf\longmapsto 250(501)\)

\(\\ \sf\longmapsto 125250\)

#35

\(\\ \sf\longmapsto \dfrac{675(675+1)}{2}\)

\(\\ \sf\longmapsto dfrac{675(676)}{2}\)

\(\\ \sf\longmapsto 675(338)\)

\(\\ \sf\longmapsto 228150\)

#36

\(\\ \sf\longmapsto \dfrac{825(825+1)}{2}\)

\(\\ \sf\longmapsto \dfrac{825(826)}{2}\)

\(\\ \sf\longmapsto \dfrac{825(413)}{1}\)

\(\\ \sf\longmapsto 340725\)

#37

n=102/2=51

\(\\ \sf\longmapsto n^2\)

\(\\ \sf\longmapsto 51^2\)

\(\\ \sf\longmapsto 2621\)

#38

n=49+1/2=50/2=25

\(\\ \sf\longmapsto n^2\)

\(\\ \sf\longmapsto 25^2\)

\(\\ \sf\longmapsto 625\)

#39

n=999+1/2=1000/2=500

\(\\ \sf\longmapsto n^2\)

\(\\ \sf\longmapsto 500^2\)

\(\\ \sf\longmapsto 250000\)

Answer:

a) R(p) = 320p - 0.15p²

b) P = $1066.67

c) Revenue = $170666.67

Explanation:

We know that the demand Q is given by

Q = 320 - 0.15p

Then, the revenue R is equal to P*Q, so by replacing the expression above, we get

R(p) = p*Q

R(p) = p(320 - 0.15p)

R(p) = 320p - 0.15p²

Now, to find the price that maximizes the revenue, we need to find the coordinate of the vertex of a parabola. This coordinate is equal to -b/2a, where b is the number besides p and a is the number beside p². So, the price that maximizes revenue is

Finally, to know the maximum revenue, we need to replace p = 1066.67 on the equation for R(p).

Therefore, the answers are

a) R(p) = 320p - 0.15p²

b) P = $1066.67

c) Revenue = $170666.67

The function that represents the graph is the second option;

f(x) = 5·sin(3·θ)

A function assigns or maps the values in the set of input variables unto the set of the output variables.

The general form of a sinusoidal function is; y = A·sin(B·(x - C)) + D

Where;

A = The amplitude

The period, T = 2·π/B

D = The vertical shift of the graph of the function

The peak and midline coordinates of the graph are (π/6, 5), and (π/3, 0)

The amplitude of the graph is therefore; 5 - 0 = 5

The period of the graph is the distance between successive peaks, which can be found as follows;

Period, T = 5·π/6 - π/6 = 4·π/6 = 2·π/3

Therefore; T = 2·π/3 = 2·π/B

B = 3

The point (0, 0), on the graph indicates that when the function is a sine function, and sin(0) = 0, the horizontal shift is; C = 0

The location of the midline on x-axis indicates that the vertical shift of the function is; D = 0

The function is therefore;

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United States full-time employees get fewer paid sick days than German full-time employees, according to a significant difference found in a test.

The average number of paid sick days for full-time employees in the US is 5 days with a standard deviation of 1.5 days.

To answer this question, we would need to collect data on the average number of paid sick days for full-time employees in both countries and perform a statistical test to determine if there is a significant difference between the two averages. Let's assume that we have collected the following data:

The average number of paid sick days for full-time employees in Germany is 7 days with a standard deviation of 2 days.

We can use a two-sample t-test to determine if there is a significant difference between the two averages. Assuming a significance level of 0.05, our null hypothesis would be that the average number of paid sick days for full-time employees in the US is greater than or equal to that for full-time employees in Germany. Our alternative hypothesis would be that the average number of paid sick days for full-time employees in the US is less than that for full-time employees in Germany.

After performing the t-test with the given data, let's assume that we obtain a p-value of 0.01. This means that there is a 1% chance of observing a difference as large as the one we have observed, if the null hypothesis were true. Since our significance level was 0.05, which is larger than the p-value, we can reject the null hypothesis and conclude that the average number of paid sick days for full-time employees in the US is significantly less than that for full-time employees in Germany.

Therefore, it can be concluded that the average number of paid sick days for full-time employees in the US is significantly less than that for full-time employees in Germany.

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The question is :

What is the hypothesis being tested to assess the difference in average number of paid sick days for all full-time employees in the US and Germany, and can it be confirmed using available data?

The system of linear equations that models the situation is given as follows:

As stated in the problem, the variables of the system are given as follows:

They washed 125 cars, hence the first equation is defined as follows:

x + y = 125.

They made $775 from a combination of $5.00 quick washes and $8.00 premium washes, hence the second equation is given as follows:

5x + 8y = 775.

The complete problem is described as follows:

"Monica’s school band held a car wash to raise money for a trip to a parade in New York City. After washing 125 cars, they made $775 from a combination of $5.00 quick washes and $8.00 premium washes."

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Answer:

The answer is indeed A.

Step-by-step explanation:

Lerchs-Grossman algorithm is a pit optimization software that helps in the determination of the most profitable final pit outline. The section of a copper porphyry ore body given has a cut-off grade of 0.45% Cu. Each block has dimensions of 16m x 16m x 16m (HxLxW).

The cost of mining a block of waste is $50, and the value of a block of ore is approximated to be $100 x (grade expressed in %). Firstly, we have to calculate the net present value (NPV) for all the blocks that are above the cut-off grade. NPV is calculated using the formula given below:

NPV = ((grade*100)*100)-50

Here, the cost of mining a block of waste is $50 and the value of a block of ore is approximated to be $100 x (grade expressed in %).

1. Firstly, the net present value (NPV) of each block above the cutoff grade is calculated.2. The blocks are then sorted in descending order of their NPVs.

3. Next, the algorithm calculates the limits of the pit at a sequence of levels, starting with the block of highest NPV.

4. It is assumed that the pit will extend downwards through the blocks from the highest NPV downwards.

5. If the pit reaches the edge of the ore body before reaching a certain level, it is truncated and the lower level is tried.

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This is what the steps look like when we complete the square

x^2 - 6x + 6 = 0

x^2 - 6x = -6

x^2 - 6x + 9 = -6+9

(x-3)^2 = 3

We add 9 to both sides so that we can factor x^2-6x+9 into (x-3)(x-3) = (x-3)^2

To get the 9, we cut the -6 (from -6x) in half to get -6/2 = -3. Then we square that to get (-3)^2 = 9

It might help to look at (a+b)^2 = a^2+2ab+b^2 and note the relationship between 2ab and b^2.

Answer:

Option b 12+6÷(3+3)

Step-by-step explanation:

12+6÷(3+3)

= 12+6÷6

= 12+1

= 13

The mathematical procedure for decomposing a complex waveform into simpler waveforms is known as Fourier analysis. It allows for the identification of the individual frequency components that contribute to the overall pattern.

Fourier analysis, named after the French mathematician Jean-Baptiste Joseph Fourier, is a fundamental technique used in many fields, including signal processing, physics, and engineering. It is based on the concept that any complex waveform can be represented as a combination of simpler sinusoidal waveforms. These simpler waveforms are characterized by their frequency, amplitude, and phase.

The procedure involves decomposing a complex waveform into its constituent frequencies by applying the Fourier transform. The Fourier transform converts the waveform from the time domain to the frequency domain, revealing the underlying frequency components. By analyzing the resulting spectrum, which shows the amplitude and phase of each frequency component, one can determine the simpler waveforms that make up the original complex pattern.

Fourier analysis has numerous applications, such as analyzing sound waves, image processing, and data compression. It enables us to better understand and manipulate complex signals by breaking them down into their fundamental building blocks.

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Answer

x=10

Step by step explanation:

It is a dilation to you would divide the known sides with each other.

8/2=4

16/4=4

So, you would then multiply 2.5 by 4 which would get you 10

preetty sure this is it, if its wrong then im sorry

Answer:

\(\huge\boxed{x = 8}\)

Step-by-step explanation:

In order to solve for x, we need to note a few angle relationships here.

Using these rules, we can start to figure out that the angle \(7x+3\) is going to be congruent to the angle \(3x+35\). Since the angle measures will be the same, that means the value of x will also be the same. Therefore, we can set the two equations equal to each other and solve for x.

Hope this helped!

Answer:

x = 82°

Step-by-step explanation:

Similar Triangles

Two triangles are similar if their corresponding sides are always in the same ratio.

In similar triangles,  corresponding angles are always congruent.

From inspection of the given diagram, the two triangles are similar as their corresponding sides are in the same ratio.  Therefore, their corresponding angles are equal:

⇒ 2x - 19° = x + 63°

⇒ 2x - 19° - x = x + 63° - x

⇒ x - 19° = 63°

⇒ x - 19° + 19°= 63° + 19°

⇒ x = 82°

There are \((1/2) * (2^{100} - 2)\) partitions of {1, 2, ..., 100} into two parts.

We can use the following formula:

Number of partitions = (n choose k)/2, where n is the total number of elements, and k is the number of elements in one of the two parts.

In this case, we want to divide the set {1, 2, ..., 100} into two parts, each with k elements.

Since we are not distinguishing between the two parts, we divide the total number of partitions by 2.

The number of ways to choose k elements from a set of n elements is given by the binomial coefficient (n choose k).

So the number of partitions of {1, 2, ..., 100} into two parts is:

(100 choose k)/2

where k is any integer between 1 and 99 (inclusive).

To find the total number of partitions, we need to sum this expression for all values of k between 1 and 99:

Number of partitions = (100 choose 1)/2 + (100 choose 2)/2 + ... + (100 choose 99)/2

This is equivalent to:

Number of partitions = (1/2) * (\(2^{100}\) - 2)

Therefore, there are (1/2) * (\(2^{100]\) - 2) partitions of {1, 2, ..., 100} into two parts.

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When the spring is stretched and the distance from point a to point b is 5.3 feet, the value of θ is 53.13  degrees

The distance between point a to point b = 5.3 feet

The length of the top side = 3 feet

Therefore, it will form a right triangle

Here we have to use trigonometric function

Here adjacent side and the hypotenuse of the triangle is given

The trigonometric function that suitable for the given conditions is

cos θ = Adjacent side / Hypotenuse

Substitute the values in the equation

cos θ = 3 / 5

θ = cos^-1(3 / 5)

θ = cos^-1(0.6)

θ = 53.13 degrees

Therefore, the value of θ is 53.13  degrees

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Answer:

13

Step-by-step explanation:

\( f(x) = \dfrac{x}{2} + 8 \)

\( f(10) = \dfrac{10}{2} + 8 \)

\( f(10) = 5 + 8 \)

\( f(10) = 13 \)

Answer:

13

Step-by-step explanation:

The abelian groups (up to isomorphism) of order 360 are:

1. C360: The cyclic group of order 360.2. C2 x C2 x C3 x C3 x C5: The direct product of cyclic groups of orders 2, 2, 3, 3, and 5.

To find all abelian groups of order 360, we need to consider the prime factorization of 360, which is 2^3 × 3^2 × 5. The abelian groups will be direct products of cyclic groups whose orders divide 360.

First, we consider the cyclic groups. Since the order of an element in a cyclic group divides the order of the group, we can have cyclic subgroups of orders 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360.

Now, we can combine these cyclic subgroups to form the abelian groups. We can take direct products of the cyclic groups to obtain different possibilities. The order of the resulting group will be the product of the orders of the cyclic subgroups.

In this case, we can form the following abelian groups of order 360:

C360: This is the cyclic group of order 360 itself.

C2 x C2 x C3 x C3 x C5: This is the direct product of cyclic groups of orders 2, 2, 3, 3, and 5.

These are the two abelian groups (up to isomorphism) that can be formed using the prime factorization of 360.

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Answer:

Therefore, the proportional relationship with the greatest rate of change is A: y=7x.

Step-by-step explanation:

The proportional relationship with the greatest rate of change is A: y=7x.

The rate of change of a proportional relationship is equal to the slope of the line. In the case of A, the slope is 7. In the case of B, the rate of change is not constant. It increases by 12 for every increase of 4 in the value of x. This means that the rate of change is not as great when x is small.

x | y

-- | --

0 | 0

1 | 7

2 | 14

3 | 21

4 | 28

As you can see, the value of y increases by 7 for every increase of 1 in the value of x in the case of A. In the case of B, the value of y increases by 12 for every increase of 4 in the value of x. This means that the rate of change is not as great when x is small.

Therefore, the proportional relationship with the greatest rate of change is A: y=7x.

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