Graph the next 2 points in the equation y = x+3

For figure {0}, the number of tiles will be equal to 2.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a graph as shown in the image.

The line passes through point -

(3, 8) and (4, 10)

So, the slope of the line will be -

m = (10 - 8)/(4 - 3)

m = 2

y = 2x + c

For the point (3, 8), we can write -

8 = 6 + c

c = 2

For figure {0}, the number of tiles will be equal to 2.

Therefore, for figure {0}, the number of tiles will be equal to 2.

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The dependent variable, y from the given situation is 15

The total number of exercises the individual needs, y = 3x/3

Where,

So,

y = 3x/3

substitute the value of x into the equation

y = 3(15) / 3

open parenthesis

y = 45 /3

y = 15

In conclusion, the value of the dependent variable is 15

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Answer:

A histogram shows the frequencies of data in different intervals. So, you cannot read individual values off a histogram alone. With a detailed enough dot plot, you could get very close to the actual team payrolls for each league. A histogram does not give this precision.

Step-by-step explanation:

Plato sample answer

Answer:

yay

Step-by-step explanation:

Answer:

Mode = 7

Median = 6

Mean = 5.2

Range = 7

Step-by-step explanation:

\(3 \: ,7 \:,2 \:,4 \:,7 \:,5, \:7\:,1,8 \:,8\)

a) Write down the mode

Mode is the number that appears the most in a given set of data

\(Mode = \:7\)

7 appears thrice , 8 appears twice and rest appear once.

b) Median

Median is the middle number of a given set of data when arranged in order of least to largest.

\(1,2 , 3 ,4,5, 7,7,7,8,8\\\\=1),2),3),4)5,7,(7,(7,(8,(8\\\\= \frac{5+7}{2}\\ \\= \frac{12}{2}\\ \\= 6\)

c. Mean

Mean is the sum of all values divided by the number of given values

\(\frac{1+2+3+4+5+7+7+7+8+8}{10} \\\\= \frac{52}{10} \\\\= 5.2\)

d)Range

Range is the difference between the highest value and the lowest vale in a given set of data.

\(Highest \:value =8\\Lowest\:value = 1\\\\Range = 8-1\\\\=7\)

Answer:

30 ft²

Step-by-step explanation:

Area of trapezium = 1/2 (a + b)h

a = 6 ft , b = 9 ft , h = 4 ft

Area = 1/2 (6 + 9) 4

= 30 ft²

Answer:

D

Step-by-step explanation:

The standard form of each of the numbers is given as follows:

a) 2.35 x 10^-3 = 0.00235.

b) 2.35 x 10³ = 2350.

A number in scientific notation is given by the notation presented as follows:

\(a \times 10^b\)

With the base being \(a \in [1, 10)\), meaning that it can assume values from 1 to 10, with an open interval at 10 meaning that for 10 the number is written as 10 = 1 x 10¹, meaning that the base is 1, justifying the open interval at 10.

For item a, to obtain the standard form of the number, we must move the decimal points three places to the left, hence:

2.35 x 10^-3 = 0.00235.

For item b, to obtain the standard form of the number, we must move the decimal points three places to the right, hence:

2.35 x 10³ = 2350.

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Answer:

y = 78

Step-by-step explanation:

x - 5 = 72

x = 77

77 - 5 = y -6

I hope this helps!!

Answer:A. x= .100

Step-by-step explanation:because of the distance in miles

Step-by-step explanation:

7/ 12 is equivalent to - 7/-12

According to the information, we can infer that the correct expression is (10 * 7) + (2 * 7) (option D).

To find the correct expression we must look at the graph and interpret the information it has. In this case, some tiles are white and others are gray, so they would represent different elements. In this case, the white area is 10 * 7 tiles, so this would be the first part of the expression.

On the other hand, the second part of the expression would be 7 * 2, which represents the length, length and width of the gray area. According to the above, the correct expression would be (10 * 7) + (2 * 7), the first part in parentheses represents the white area and the second part in parentheses represents the gray area.

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Answer:

Animals eat plants, and when they do, they obtain the carbon. Later, they release that carbon by means of respiration. Fungus, Bacteria, Algae and other microorganisms create carbon when they decompose dead plants and animals.

Step-by-step explanation:

hope this helps

The surface area of the cylindrical pottery vase is 177.55 in².

Given that a cylindrical pottery vase has a diameter of 4.3 inches and a height of 11 inches, we need to find the surface area of the vase,

SA of a cylinder = 2π×radius(h+r)

= 2×3.14×2.15(2.15+11)

= 177.55 in²

Hence, the surface area of the cylindrical pottery vase is 177.55 in².

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9514 1404 393

Answer:

  D.  1

Step-by-step explanation:

Solve the first equation for y, then substitute that into the second equation.

  -2x = y

  6x +(-2x) = 4 . . . . substitute

  4x = 4 . . . . simplify

  x = 1 . . . . divide by 4

Answer:

260 - 55(3)

55(3)

260 - 165

= 95

Step-by-step explanation:

Convert \(-1+i\) to polar form.

\(z = -1 + i \implies \begin{cases}|z| = \sqrt{(-1)^2 + 1^2} = \sqrt2 \\\\ \arg(z) = \pi + \tan^{-1}\left(\dfrac1{-1}\right) = \dfrac{3\pi}4 \end{cases}\)

By de Moivre's theorem,

\(\left(-1+i\right)^7 = \left(\sqrt2 \, e^{i\,\frac{3\pi}4}\right)^7 \\\\ ~~~~~~~~ = \left(\sqrt2\right)^7 e^{i\,\frac{21\pi}4} \\\\ ~~~~~~~~ = 8\sqrt2 \, e^{-i\,\frac{3\pi}4} \\\\ ~~~~~~~~ = 8\sqrt2 \left(\cos\left(\dfrac{3\pi}4\right) - i \sin\left(\dfrac{3\pi}4\right)\right) \\\\ ~~~~~~~~ = 8\sqrt2 \left(-\dfrac1{\sqrt2} - \dfrac1{\sqrt2}\,i\right) \\\\ ~~~~~~~~ = -8 (1 + i)\)

QED

Answer:

48/24

Step-by-step explanation:

You didn't say which one is line BC so I'm going to give you the answer 48 for the entire line but if you are asking for the middle point to end point then it is 24.

It is shown below that the partition of G into left cosets of H is different from its partition into right cosets when n ≥ 3.

Let us first find the left cosets of H in G:

H = {1, s₀}

s₁H = {s₁, s₁s₀}

s₂H = {s₂, s₂s₀}

s₃H = {s₃, s₃s₀, s₂s₁, s₂s₁s₀}...

Now, find the right cosets of H in G:

H = {1, s₀}

Hs₁ = {s₁, s₀s₁}

Hs₂ = {s₂, s₀s₂}

Hs₃ = {s₃, s₀s₃, s₁s₂, s₀s₁s₂}...

Observe that the left cosets of H in G and the right cosets of H in G are not the same when n≥3. This is because s₁s₀ is not in H, but s₀s₁ is in H.

Therefore, the left coset s₁H is not the same as the right coset Hs₁. Similarly, s₂s₁s₀ is not in H, but s₀s₁s₂ is in H, so the left coset s₃H is not the same as the right coset Hs₃.

Thus, it is shown that the partition of G into left cosets of H is different from its partition into right cosets when n≥3.

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Answer:

The correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

Step-by-step explanation:

What is probability?

Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.

To find which 2 books describe a pair of dependent events:

A pair of two dependent events are simply those in which the selection of the second item is contingent on the selection of the first item, causing the probability to change.

Because the sample size is lowered when the initial item is taken without replacement, choosing the exact same item reduces the chance.

Now, in regard to the question, this means that for two of the occurrences to be independent, they must be on the same shelf and of the same type of book, so that the second book cannot be selected until the first one is.

Option D, where both books are on the same shelf and are of the same type, is the only option that fulfills this requirement.

Therefore, the correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

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Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.

When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.

Increased employment opportunities result in more individuals having access to income and improved standards of living.

Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.

Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.

Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.

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Answer: (A)

Step-by-step explanation:

By elimination, none of the other answers choices fit the lines; B, C, and D all have at least one positive slope. Both lines shown in the graph have negative slopes, so both equations have to have a negative x value when simplified, so it's A.

Answer:

47.25/cm

Step-by-step explanation:

35 x .35 = 12.25

35 + 12.25 = 47.25 cm

Each number should be dragged to a box to complete the table as follows;

Kilometers     Meters

1                        1,000

2                       2,000

3                       3,000

5                       5,000

8                       8,000

In Science and Mathematics, a conversion factor can be defined as a number that is used to convert a number in one set of units to another, either by dividing or multiplying.

Generally speaking, there are one (1) kilometer in one thousand (1,000) meters. This ultimately implies that, a proportion or ratio for the conversion of kilometer to meters would be written as follows;

Conversion:

1 kilometer = 1,000 meters

2 kilometer = 2,000 meters

3 kilometer = 3,000 meters

4 kilometer = 4,000 meters

5 kilometer = 5,000 meters

6 kilometer = 6,000 meters

7 kilometer = 7,000 meters

8 kilometer = 8,000 meters

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

A).

Step-by-step explanation:

Add 3 to the x values and subtract 1 from the y's.

For example  A ( -5, 1 ) ---->  (-5+3, 1 -1 ) ---> (-2, 0).

Answer:

11:32:00 AM

Step-by-step explanation:

(a) Concerning the coefficients of the equation for the volume of the eggplant ( \(V(ft^{3}) = 3.53\times 10^{-2}\cdot e^{2\cdot t^{2}}\)), the units of the coefficients with values \(3.53 \times 10^{-2}\) and 2 are cubic feet and \(\frac{1}{h^{2}}\), respectively.

(b) Regarding the determination of the coefficients by linear regression, the scientist must plot the square of time versus the natural logarithm of the volume and he would have obtained that the intercept is the natural logarithm of constant A and the slope is constant B.

(c) After the solicitation of the European distributor of the film, the new formula is \(V' = 9.884\times 10^{-4}\cdot e^{1.543\times 10^{-7}\cdot t'^{2}}\), where volume is in cubic meters and time is in seconds.

Note - The statement reports typing mistakes. We present the correct statement below:

The climatic moment in the film "The Eggplant that Ate New Jersey" comes when the brilliant young scientist announces his discovery of the equation for the volume of the eggplant: \(V(ft^{3}) = 3.53\times 10^{-2}\cdot e^{2\cdot t^{2}}\), where \(t\) is the time in hours from the moment the vampire injected the eggplant with a solution prepared from the blood of the beautiful dental hygienist.

(a) What are the units of \(3.53\times 10^{-2}\) and \(2\)?

(b) The scientist obtained the formula by measuring \(V\) and \(t\) and determining the coefficients by linear regression. What would he have plotted versus what on what kind of coordinates? What would he have obtained as the slope and intercept of his plot?

(c) The European distributor of the film insists that the formula must be given for the volume in cubic meters (\(m^{3}\)) as a function of time, in seconds. Derive the formula.

(a) In this exercise, we must make use of principles for dimensional analysis. We know that the equation for the volume of the eggplant is represented by:

\(V(ft^{3}) = 3.53\times 10^{-2}\cdot e^{2\cdot t^{2}}\) (1)

Dimensionally speaking, we have the following case:

\([L]^{3} = [A]\cdot e^{[B]\cdot [t]^{2}}\) (2)

By direct inspection and some algebraic handling, we conclude that:

\([A] = [L]^{3}\)

\([B] = [t]^{-2}\)

Therefore, the units of \(3.53 \times 10^{-2}\) and 2 are cubic feet and \(\frac{1}{h^{2}}\), respectively.

(b) The curve fit for the exponential expression used by the scientist is of the form:

\(V = A\cdot e^{B\cdot t^{2}}\) (3)

If we apply logarithms on both sides of the expression above, then we have the following form:

\(\ln V = \ln A\cdot e^{B\cdot t^{2}}\)

\(\ln V = \ln A + B\cdot t^{2}\) (4)

The scientist must plot the square of time versus the natural logarithm of the volume and he would have obtained that the intercept is the natural logarithm of constant A and the slope is constant B.

(c) An hour equals 3600 seconds and a cubic feet equals 0.028 cubic meters. Hence, we can adapt (1) to fulfill the requirements of the European film distributor by using the following conversions:

\(t' = 3600\cdot t\) (5)

\(V' = 0.028\cdot V\) (6)

Where:

By applying (5) and (6) in (1), we have the resulting formula:

\(V' = 0.028\cdot [3.53\times 10^{-2}\cdot e^{2\cdot \left(\frac{t'}{3600} \right)^{2}}]\)

\(V' = 9.884\times 10^{-4}\cdot e^{1.543\times 10^{-7}\cdot t'^{2}}\)

The new formula is \(V' = 9.884\times 10^{-4}\cdot e^{1.543\times 10^{-7}\cdot t'^{2}}\), where volume is in cubic meters and time is in seconds.

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After a small online search, I've found that the volume equation is:

\(V[ft^3] = 3.53 \cdot10^{-2} \cdot exp(2 \cdot t^2)\)

a) We want to see what are the units of the first factor:

\(3.53 \cdot10^{-2}\)

You can see that the volume is in cube feet, and the only part in the equation that can have units is this one, so the units of this factor should be cube feet.

b) On the vertical coordinate he would see the volume and on the horizontal coordinate he would see the time.

The graph of this function is an increasing exponential function, that grows slow at the beginning and then grows faster.

c) Remember that the term with the units is:

\(3.53 \cdot10^{-2}\)

So we should write this as:

\(3.53 \cdot10^{-2} ft^3\)

Now we know that:

\(1m^3 = 35.3 ft^3\\\\1 = \frac{1 m^3}{35.3 ft^3}\)

Now we can multiply our measure by this to get:

\(3.53 \cdot10^{-2} ft^3 = ( \frac{1 m^3}{35.3 ft^3})*(3.53 \cdot10^{-2} ft^3) = 0.1 m^3\)

Then the equation is:

\(V = 0.1m^3\cdot exp(2 \cdot t^2)\)

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Answer:

-8(x-3)=-32

(x-3)=-32+8

(x-3)=-24

x=-24+3

x=-21