6x - 3y = -6
what is the step by step and the answer.

The number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

We can solve this inequality by introducing an auxiliary variable x4, such that x1 + x2 + x3 + x4 = 11. Here, x1, x2, x3, and x4 are all nonnegative integers.

We can interpret this equation as follows: imagine we have 11 identical objects and we want to distribute them among four boxes (x1, x2, x3, and x4). Each box can contain any number of objects, including zero. The number of solutions to this equation will give us the number of nonnegative integer solutions to the original inequality.

We can use a technique known as stars and bars to count the number of solutions to this equation. Imagine we represent the 11 objects as stars: ***********.

We can then place three bars to divide the stars into four groups, each group representing one of the variables x1, x2, x3, and x4. For example, if we place the first bar after the first star, the second bar after the third star, and the third bar after the fifth star, we get the following arrangement:

| ** | * | ****

This arrangement corresponds to the solution x1=1, x2=2, x3=1, and x4=7. Notice that the number of stars to the left of the first bar gives the value of x1, the number of stars between the first and second bars gives the value of x2, and so on.

We can place the bars in any order, so we need to count the number of ways to arrange three bars among 14 positions (11 stars and 3 bars). This is equivalent to choosing 3 positions out of 14 to place the bars, which can be done in C(14,3) ways.

Therefore, the number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

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The image shows a strong positive correlation in the scatter plot.

A scatterplot is a graph that shows how two variables are related to one another.

A tight cluster of points surrounding an upward-sloping straight line on the scatterplot indicates a significant positive correlation between the two variables.

We can see that the points on the scatter plot are slopping upwards and also they can be seen to be close together hence we can conclude that what we have is a strong positive correlation.

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Answer:

x = 2

Step-by-step explanation:

5x = 10

x = 2

Using the assumed values, the volume of the cone is \(V = \frac {250}3\pi\)

The volume of a cone is calculated using:

\(V = \frac 13\pi r^2h\)

The parameters are not given.

So, we use the following assumed values

Radius, r = 5

Height, h =10

Using the assumed values, we have:

\(V = \frac 13\pi * 5^2 * 10\)

Evaluate the product

\(V = \frac {250}3\pi\)

Hence, using the assumed values, the volume of the cone is \(V = \frac {250}3\pi\)

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Answer: C (490/3

Step-by-step explanation:

Answer:

3N

Step-by-step explanation:

The graph states that the forces are acting in opposite directions, so subtract the value of the smaller force from the larger to find net force.

Hope this helps!

Answer:

181/13 =w

Step-by-step explanation:

2w+2019 = 15w + 1838

Subtract 2w from each side

2w-2w+2019 = 15w-2w + 1838

2019 = 13w + 1838

Subtract 1838 from each side

2019 -1838 = 13w

181 = 13w

Divide each side by 13w

181/13 = 13w/13

181/13 =w

Answer:

14.4 cm

Step-by-step explanation:

The domain of the relation in the graph is:

{-2, -1, 0, 2, 5}

A relation maps elements from one set (the domain) into elements from another set (the range).

Such that the domain is represented in the horizontal axis.

In the graph, we can see the points:

{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}

The domain is the set of the first values of these points, then the domain is:

{-2, -1, 0, 2, 5}

The correct option is the first one.

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Answer:

B

Step-by-step explanation:

-3^2 =+8999999999999999999999(9())))))))(-"""&+(()))))(&&%422222222222223

Answer:

24 3/8ft^2

Step-by-step explanation:

Area = length x width

7 1/2 x 3 1/4

convert to improper fraction

15/2 x  13/4 = 195 / 8 = 24 3/8

Answer:

Cross Sectional

Step-by-step explanation:

A cross sectional is one in which an association is developed between a risk factor or an outcome.

In the given question the device is used to record the viewing habits of about 2500 ​households, and the data collected today will be used to determine  the proportion of households tuned to a particular news program. There will be risk factor in today's research with the future developed program which will the outcome.

For example there are 20 students in my class who cannot write. So I develop a program to help them write. But the next year there may not be any student who would require such help.So there's a risk factor associated with the outcome.

Cross sectional results are recorded in a two ways table showing do's and don'ts.

Answer:

Positive factors of 76 are 1, 2, 4, 19, 38, and 76. Thus, it has 6 positive factors.

Step-by-step explanation:

Answer:

about 6 positive factors, including 1, 2, 4, 19, 38, and 76

Step-by-step explanation:

The given region R is {`(r, θ)|1 ≤ r ≤ 2, − π/2≤ θ ≤π/2`} where `r` represents radius and `θ` represents angle (in radians).We can represent the given region R on a polar graph,

as shown below:Graph of the region RWe can see that the given region R is a vertical strip, with radius ranging from 1 to 2 and with angle ranging from -π/2 to π/2.Now, we need to evaluate the double integral of `x` over this region. We know that x in polar coordinates is given by x = r cos θ, where `r` is radius and `θ` is angle (in radians).Thus, `∬Rx dA` can be written as:`∬Rr cos θ r dr dθ`

We can integrate the above expression with respect to `r` first, since `r` ranges from 1 to 2.`∫_1^2 ∫_(−π/2)^π/2 r cos θ dθ dr`=`∫_(−π/2)^π/2 [∫_1^2 r cos θ dr] dθ`=`∫_(−π/2)^π/2 [((2^2 cos θ)/2) − ((1^2 cos θ)/2)] dθ`=`∫_(−π/2)^π/2 3 cos θ dθ`=`[3 sin θ]_(−π/2)^π/2`=`3 [sin π/2 − sin (−π/2)]`=`3 [1 − (−1)]`=`6`Therefore, `∬Rx dA = 6`.Hence, the answer is 6.

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Answer:

Step-by-step explanation:

Fifteen of the 100 digital video recorders​ (DVRs) in an inventory are known to be defective, the total number of non-defective DVRs will be 100-15 = 85 DVRs.

If 85 DVRs are not defective, the probability that you randomly select a DVR that is not​ defective can be expressed as:

P(non-defective DVRs) = Total number of non-defective DVRs /Total DVRs

P(non-defective DVRs) = 85/100

P(non-defective DVRs) = 17/20

Answer:

0.85

Step-by-step explanation:

Given;

Number of defective DVRs D = 15

Total number of DVRs T = 100

Number of non defective DVR N = T - D = 100 - 15 = 85

The probability of selecting a non defective DVR P(N) is equal to the number of non defective DVR divided by the total number of DVRs.

P(N) = N/T

Substituting the values;

P(N) = 85/100

P(N) = 17/20 = 0.85

Answer:

25

Step-by-step explanation:

The coordinates 73.355°N and 101.476°E can be converted from decimal degrees (DD) to degrees, minutes, and seconds (DMS) format. The rounded values in DMS are 73°21'18" N and 101°28'34" E.

To convert 73.355°N from DD to DMS, we start by extracting the whole number of degrees, which is 73°. Next, we need to convert the decimal part into minutes and seconds. Multiply the decimal by 60 to get the number of minutes. In this case, 0.355 * 60 = 21.3 minutes. Rounding to the nearest whole number, we have 21 minutes. Finally, to convert the remaining decimal part into seconds, we multiply by 60. 0.3 * 60 = 18 seconds. Rounding to the nearest whole second, we get 18 seconds. Combining all the values, we have 73°21'18" N.

For the coordinates 101.476°E, we follow the same steps. The whole number of degrees is 101°. Multiplying the decimal part, 0.476, by 60 gives us 28.56 minutes. Rounding to the nearest whole number, we have 29 minutes. The remaining decimal part, 0.56, multiplied by 60 gives us 33.6 seconds. Rounding to the whole second, we get 34 seconds. Combining all the values, we have 101°28'34" E.

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The perimeter of triangle is 66.24 units.

What is triangle?

In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane

Main body:

according to question :

c = 28

let the vertices be A,B,C

∠A= 30°

by using trigonometric ratios,

BC/ AB = sin30°

AB = C = 28

BC/28 = sin30°

BC = 28*sin30°

BC= 28*(1/2)

BC = 14

similarly

AB /CA = cos 30°

28/CA = √3/2

CA = 28*√3/2

CA = 14/√3

CA = 24.24

Hence , perimeter = AB +BC +CA = 28+14+24.24

                              =66.24 units

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Answer:

x=4

Step-by-step explanation:

4(3+2x)+2=46

12+8x+2=46

12+8x=44

8x=32

x=4

Answer:

4

Step-by-step explanation:

You need to start with the 2x inside the parenthesis

If you put 4 in place of x you get 8

8+3=11

then because there isnt any sign between 4 and the parenthesis you multiply

4x11=44

then its easy

44+2=46

Answer:

The nth term of the sequence is:

\(a_n=\frac{-3n+3}{2}+8\)

Step-by-step explanation:

Given the first 5 terms of the arithmetic sequence

8, 13/2, 5, 7/2, and 2

An arithmetic sequence has a constant difference 'd' and is defined by:

\(a_n=a_1+\left(n-1\right)d\)

as the common difference 'd' is:

\(d=a_{n+1}-a_n\)

Computing the differences of all the terms

\(\frac{13}{2}-8=-\frac{3}{2},\:\quad \:5-\frac{13}{2}=-\frac{3}{2},\:\quad \frac{7}{2}-5=-\frac{3}{2},\:\quad \:2-\frac{7}{2}=-\frac{3}{2}\)

\(d=-\frac{3}{2}\)

The first element is:

\(a_1=8\)

Therefore, the nth term is computed by:

\(a_n=a_1+\left(n-1\right)d\)

\(a_n=-\frac{3}{2}\left(n-1\right)+8\)

\(a_n=\frac{-3n+3}{2}+8\)

Therefore, nth term of the sequence is:

\(a_n=\frac{-3n+3}{2}+8\)

This form of number of trade illustrates an example of comparative advantage, where each country specializes in the production of goods that they are more efficient at producing and then trading those goods with each other.

Comparative advantage is a concept in economics that states that countries that specialize in goods they are more efficient at producing will be able to produce those goods at a lower cost than countries that do not specialize in that good. In this form of trade, China specializes in the production of silk, while Germany specializes in the production of automobiles. By trading these goods with each other, both countries are able to benefit from the number of  specialization of each other, as they can produce silk or automobiles more efficiently and at a lower cost than the other country.

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Answer:

4n+13.

Step-by-step explanation:

n is how many weeks, he plants 4 bushes each week you multiply 4 by how many weeks pass and then add how many he already has

Answer:

A(4,8,12,16) is the answer

The term is called an identity element. In multiplication, the identity element is one because any number multiplied by one results in the same number. In addition, the identity element is zero because any number added to zero results in the same number.

The term in mathematics for the operation or number that leaves others unchanged when combined with them is called the identity element.

It is also known by the name of neutral element.

In multiplication, the identity element is one (1) because when you multiply a number by one the result remains the same as the original number. For any number a,

a1=1a=a.

While in addition, the identity element is zero (0) because when you add zero to a number, the result remains the same as the original number. For any number a,

a+0=0+a=a.

There is no identity element for subtraction, and division only has an identity element for certain sets.

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The proportion of employees who either have MBAs or are managers is 0.31, or 31%.

Let M be the event that an employee is a manager, and let B be the event that an employee has an MBA degree. We know:

P(M) = 0.15 (15% of the employees are managers)

P(B) = 0.25 (25% of the employees have MBA degrees)

P(B|M) = 0.6 (60% of the managers have MBA degrees)

We want to find P(M or B), the probability that an employee is either a manager or has an MBA degree.

We can use the formula:

P(M or B) = P(M) + P(B) - P(M and B)

To find P(M and B), we can use the conditional probability formula:

P(M and B) = P(B|M) * P(M)

Plugging in the values, we get:

P(M and B) = 0.6 * 0.15 = 0.09

Now we can plug in all the values to get:

P(M or B) = P(M) + P(B) - P(M and B) = 0.15 + 0.25 - 0.09 = 0.31

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The total number of ways can these dice be rolled so the numbers on the faces sum to a total of 20 is 300

The number of ways of partitioning 20 into exactly 10 distinct parts with  the 6 numbers {1,2,3,4,5,6} we have:

30 partitions of 20 into ten distinct parts.

The 30 distinct partitions with the sum 20 are:

  1.) {2,2,2,2,2,2,2,2,2,2}

  2.) {1,2,2,2,2,2,2,2,2,3}

  3.) {1,1,2,2,2,2,2,2,3,3}

  4.) {1,1,2,2,2,2,2,2,2,4}

  5.) {1,1,1,2,2,2,2,3,3,3}

  6.) {1,1,1,2,2,2,2,2,3,4}

  7.) {1,1,1,2,2,2,2,2,2,5}

  8.) {1,1,1,1,2,2,3,3,3,3}

  9.) {1,1,1,1,2,2,2,3,3,4}

 10.) {1,1,1,1,2,2,2,2,4,4}

 11.) {1,1,1,1,2,2,2,2,3,5}

 12.) {1,1,1,1,2,2,2,2,2,6}

 13.) {1,1,1,1,1,3,3,3,3,3}

 14.) {1,1,1,1,1,2,3,3,3,4}

 15.) {1,1,1,1,1,2,2,3,4,4}

 16.) {1,1,1,1,1,2,2,3,3,5}

 17.) {1,1,1,1,1,2,2,2,4,5}

 18.) {1,1,1,1,1,2,2,2,3,6}

 19.) {1,1,1,1,1,1,3,3,4,4}

 20.) {1,1,1,1,1,1,3,3,3,5}

 21.) {1,1,1,1,1,1,2,4,4,4}

 22.) {1,1,1,1,1,1,2,3,4,5}

 23.) {1,1,1,1,1,1,2,3,3,6}

 24.) {1,1,1,1,1,1,2,2,5,5}

 25.) {1,1,1,1,1,1,2,2,4,6}

 26.) {1,1,1,1,1,1,1,4,4,5}

 27.) {1,1,1,1,1,1,1,3,5,5}

 28.) {1,1,1,1,1,1,1,3,4,6}

 29.) {1,1,1,1,1,1,1,2,5,6}

 30.) {1,1,1,1,1,1,1,1,6,6}

These pairs can be arranged each in 10 ways.

Therefore, 10× 30

= 300

Hence the number of partitions is 300.

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Answer:

$14.85

Step-by-step explanation:

8.98 + 3.27 + 1.5 = 13.75

13.75 x .08 = 1.1

13.75 + 1.1 = 14.85

Answer:

$14.85

Step-by-step explanation:

8.98 x.08= 0.7184

3.27 x .08= 0.2616

1.50 x .08= 0.12

8.98 + 0.72=  9.70

3.27 + .26= 3.53

1.50 + 12 =1.62

9.70+ 3.53 +1.62 = 14.85

Answer:

It is not possible to determine the local maximum of the graphed function over the interval [-3, 1.5] based on the given information. The maximum value of the curved line occurs at (negative 1.6, 56) and (2, 0), but these points do not fall within the interval [-3, 1.5]. Similarly, the minimum value of the curved line occurs at (0.8, negative 11.4), but this point also does not fall within the interval [-3, 1.5]. The curve crosses the x-axis and y-axis at (negative 2.5, 0), (0, 0), and (2, 0), but these points do not correspond to local maxima or minima of the curve.

To determine the local maximum over the interval [-3, 1.5], it would be necessary to have additional information about the shape of the curve and its values at points within the given interval.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

edge 23

We multiply by -3/2 to get rid of y and figure out the system of equations.

A mathematical assertion that has an "equal to" symbol between two expressions with equivalent values is called an equation.

As in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including straight, quadratic, cubic, and others.

So, we have:

9x+3/4y=6 and 2x+1/2y=9

By removing y, we must solve a system of equations.

Therefore, we will first make the y-coefficient equal but with the opposite sign.

In the first equation, the y-coefficient is 3/4

The coefficient of y in equation two is half.

LCM: 3/4 and 1/2 = 3/2
To maintain the same coefficient of y, multiply the second equation by -3/2.

-3/2*2x-3/2*1/2y = -3/2*9

-3x-3/4y = -27/2

9x+3/4y = 6

Combine the two equations and get rid of the y variable.

-3x+9x = -27/2+6

6x = -15/2

x = -5/4

Therefore, we multiply by -3/2 to get rid of y and figure out the system of equations.

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Complete question:

Given the equations 9x+3/4y=6 and 2x+1/2y=9, by what factor the equation to eliminate y and solve the system through linea would you multiply the second equation to eliminate y and solve the system through linear combinations?

Options;

A.) -4/3

B.) -3/4

C.) -3/2

D.) -7/2

6= w + 2 is the required equation representing the hanger balance. Hence, option a. is the correct option for this question.

A balanced equation in math is an equation that represents the equality of quantities on both sides of the equation. In other words, the equation shows that the quantities on both sides of the equation are equal in value.

For example, in equation 2 + 3 = 5, the left side represents the sum of 2 and 3, while the right side represents the number 5.

The equation shows that the sum of 2 and 3 is equal to 5. Balancing equations is a key concept in algebra and is used to solve problems involving equalities and inequalities.

Here, The balance displays that there are 6 parts on the left side, and a w and 2 normal parts on the right side.

Because this balance is equal, this means that the equation 6=w+2 satisfies the given balance.

Hence, 6= w + 2 is the required equation representing the hanger balance.

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