The quotient of 9 and a number less 4

The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.

Let's calculate the matrix product C = AB step by step:

Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.

In this case, both matrices satisfy this condition, so the product C = AB is defined.

Calculating AB:

AB = [23 + 912 26 + 94 21 + 95]

[103 + 612 106 + 64 101 + 65]

Simplifying the calculations:

AB = [6 + 108 12 + 36 2 + 45]

[30 + 72 60 + 24 10 + 30]

AB = [114 48 47]

[102 84 40]

Therefore, the product C = AB is:

C = [114 48 47]

[102 84 40]

In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:

C = [114 48 47]

[102 84 40]

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Answer:

A. Net

Step-by-step explanation:

Answer:

a. net

Step-by-step explanation:

The net of a 3D shape is how it looks unfolded. A net can easily be put back together.

Hope this helps! :)

Answer:

its 165 square feet

Step-by-step explanation:

i got the same question and that was the answer (:

Answer:

x ≥ 5

Step-by-step explanation:

The solution to the inequality 4x - 7 ≥ 13 is x ≥ 5.

To solve the inequality 4x - 7 ≥ 13, we will isolate the variable x.

Let's begin:

4x - 7 ≥ 13

First, we'll add 7 to both sides of the inequality to eliminate the constant term on the left side:

4x - 7 + 7 ≥ 13 + 7

This simplifies to:

4x ≥ 20

Next, we'll divide both sides of the inequality by 4 to isolate x:

(4x)/4 ≥ 20/4

This simplifies to:

x ≥ 5

So, the solution to the inequality 4x - 7 ≥ 13 is x ≥ 5.

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Answer:

(a) \(x=\frac{19}{4}=4.75\)

(b) \(x=-\frac{1+\sqrt{193}}{6}\approx-2.4821, x=-\frac{1-\sqrt{193}}{6}\approx2.1487\)

Step-by-step explanation:

The detailed explanation is shown in the attached documents below.

The maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

maximize: z = c1x1 + c2x2 + ... + cnxn

subject to

a11x1 + a12x2 + ... + a1nxn ≤ b1

a21x1 + a22x2 + ... + a2nxn ≤ b2

am1x1 + am2x2 + ... + amnxn ≤ bmxi ≥ 0 for all i

In our case,

the given LP is:maximize: z = 36x1 + 30x2 - 3x3 - 4x

subject to:

x1 + x2 - x3 ≤ 5

6x1 + 5x2 - x4 ≤ 10

xi ≥ 0 for all i

We can rewrite the constraints as follows:

x1 + x2 - x3 + x5 = 5  (adding slack variable x5)

6x1 + 5x2 - x4 + x6 = 10  (adding slack variable x6)

Now, we introduce the non-negative variables x7, x8, x9, and x10 for the four decision variables:

x1 = x7

x2 = x8

x3 = x9

x4 = x10

The objective function becomes:

z = 36x7 + 30x8 - 3x9 - 4x10

Now we have the problem in standard form as:

maximize: z = 36x7 + 30x8 - 3x9 - 4x10

subject to:

x7 + x8 - x9 + x5 = 5

6x7 + 5x8 - x10 + x6 = 10

xi ≥ 0 for all i

To apply the simplex algorithm, we initialize the simplex tableau as follows:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

---------------------------------------------------------------------------

z |  0    |   0    |   0    |  36    |   30   |   -3   |   -4   |    0    |

---------------------------------------------------------------------------

x5|   0   |   1    |   0    |   1    |   1    |   -1   |   0    |    5    |

---------------------------------------------------------------------------

x6|   0   |   0    |   1    |   6    |   5    |   0    |   -1   |   10    |

---------------------------------------------------------------------------

Now, we can proceed with the simplex algorithm to find the optimal solution. I'll perform the iterations step by step:

Iteration 1:

1. Choose the most negative coefficient in the 'z' row, which is -4.

2. Choose the pivot column as 'x10' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 5/0 = undefined, 10/(-4) = -2.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to

make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

---------------------------------------------------------------------------

z |  0    |   0    |  0.4   |  36    |   30   |   -3   |   0    |   12    |

---------------------------------------------------------------------------

x5|   0   |   1    |  -0.2  |   1    |   1    |   -1   |   0    |   5     |

---------------------------------------------------------------------------

x10|   0  |   0    |   0.2  |   1.2  |   1   |   0    |   1    |   2.5   |

---------------------------------------------------------------------------

Iteration 2:

1. Choose the most negative coefficient in the 'z' row, which is -3.

2. Choose the pivot column as 'x9' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 12/(-3) = -4, 5/(-0.2) = -25, 2.5/0.2 = 12.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

---------------------------------------------------------------------------

z |  0    |   0    |  0.8   |  34    |   30   |   0    |   4    |   0     |

---------------------------------------------------------------------------

x5|   0   |   1    |  -0.4  |   0.6  |   1    |   5   |   -2   |   10    |

---------------------------------------------------------------------------

x9|   0   |   0    |   1    |   6    |   5    |   0   |   -5   |   12.5  |

---------------------------------------------------------------------------

Iteration 3:

No negative coefficients in the 'z' row, so the optimal solution has been reached.The optimal solution is:

z = 0

x1 = x7 = 0

x2 = x8 = 10

x3 = x9 = 0

x4 = x10 = 0

x5 = 10

x6 = 0

Therefore, the maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

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Answer:

V=\(\pi\)5^2*6

Step-by-step explanation:

If this makes it a little easier to read:

V = \(\pi\) * 5^2 * 6

This is the answer when you solve it btw:

471.24

Also, who buys a swimming pool in the shape of a cylinder?

The volume of the cylinder is 471 square feet.

Given,

Nela is filling her circular backyard swimming pool.

The radius of the pool is 5 feet and the height is 6 feet.

We need to find the volume of the cylinder.

It is given by:

V =  \(\pi\) r² h.

Find the volume of the cylinder

V =  \(\pi\) r² h

We have,

h = 6 feet and r = 5 feet

V = 3.14 x 5² x 6

V = 3.14 x 25 x 6

V = 471 square feet.

Thus the volume of the cylinder is 471 square feet.

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Answer:

Step-by-step explanation:

Input is - 6 and Output is 22.

Degrees of freedom for any statistic is defined as the number of independent pieces of information that go into the estimate of a parameter. It is usually denoted by df.

The term degrees of freedom is used in statistics to describe the number of values in a study that are free to vary or that have the freedom to move around in a distribution. In statistical studies, degrees of freedom can refer to a number of different things.The degrees of freedom for a statistic are typically determined by subtracting the number of parameters estimated from the sample size.

For example, in a simple linear regression, there are two parameters to be estimated: the slope and the intercept.Therefore, the degrees of freedom for the regression would be n-2, where n is the sample size. Similarly, in an independent samples t-test, the degrees of freedom are calculated as the sum of the degrees of freedom for each sample minus 2.

Therefore, if there are n1 and n2 observations in the two samples, the degrees of freedom for the t-test would be (n1-1)+(n2-1)-2=n1+n2-2. The concept of degrees of freedom is important in statistical inference because it helps to determine the distribution of test statistics and the critical values for hypothesis tests.

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The answer to the given problem is ∫3−5[2f(x) 6g(x)]dx = 108. This can be found by using the properties of integration and substituting the given values for the integrals of f(x) and g(x).

Given that:

∫3−5f(x)dx=6

∫3−5g(x)dx=3

We need to find: ∫3−5[2f(x) 6g(x)]dx

To solve this problem, we will use the properties of integration:

Property 1:

If c is a constant, then

∫cf(x)dx=c∫f(x)dx

Property 2:

If f(x) and g(x) are two functions, then

∫[f(x) + g(x)]dx = ∫f(x)dx + ∫g(x)dx

Using Property 1, we can rewrite the given equation as:

∫3−5[2f(x) 6g(x)]dx = ∫3−5[12f(x)g(x)]dx

Using Property 2, we can further simplify the equation as:

∫3−5[12f(x)g(x)]dx = ∫3−5[12f(x)]dx + ∫3−5[12g(x)]dx

Now we can substitute the given values:

∫3−5[12f(x)]dx + ∫3−5[12g(x)]dx = 12∫3−5f(x)dx + 12∫3−5g(x)dx

Substituting the given values for the integrals of f(x) and g(x), we get:

12∫3−5f(x)dx + 12∫3−5g(x)dx = 12(6) + 12(3)

Simplifying, we get:

12∫3−5f(x)dx + 12∫3−5g(x)dx = 12(6) + 12(3) = 12(9) = 108

Therefore, the answer is

∫3−5[2f(x) 6g(x)]dx = 108

The answer to the given problem is ∫3−5[2f(x) 6g(x)]dx = 108. This can be found by using the properties of integration and substituting the given values for the integrals of f(x) and g(x).

the complete question is :

if ∫3−5f(x)dx=6, and ∫3−5g(x)dx=3 , then ∫3−5[2f(x) 6g(x)]dx will be equal to  ?

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The function below is not provided in the question, therefore, I cannot provide a specific linearization method to fit the data to a linear regression model.

However, in general, the correct linearization method for a function to be fit to a data set using linear regression would depend on the functional form of the equation.

For example, if the function is exponential, taking the logarithm of the data may result in a linear relationship that can be fit using linear regression.

The specific linearization method to fit a function to a linear regression model would depend on the functional form of the equation. For an exponential function, taking the logarithm of the data may result in a linear relationship that can be fit using linear regression. However, since the function in question is not provided, I cannot provide a specific linearization method.

The correct linearization method for a function to be fit to a linear regression model depends on the functional form of the equation and cannot be determined without knowledge of the specific function.

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The approximate values triangle for angle B, angle C, and side b are B ≈ 54.4 degrees, C ≈ 96.6 degrees, and b ≈ 36.8 units, respectively, rounded to the nearest 10th.

Given data:

Side a = 18

Side c = 27

Angle A = 29 degrees

Step 1: Find angle B using the law of sines:

sin(B)/c = sin(A)/a

sin(B)/27 = sin(29°)/18

sin(B) = (27sin(29°))/18

B = arcsin((27sin(29°))/18)

Step 2: Find angle C using the fact that the sum of angles in a triangle is 180 degrees:

C = 180° - A - B

C = 180° - 29° - B

Step 3: Find side b using the law of sines:

sin(C)/c = sin(A)/a

sin(C)/27 = sin(29°)/18

sin(C) = (27 × sin(29°))/18

b = (sin(C) × a)/sin(A)

Step 4: Substitute the given values into the equations and calculate the approximate values using a calculator:

B ≈ arcsin((27 × sin(29°))/18) ≈ 54.4 degrees

C ≈ 180° - 29° - 54.4° ≈ 96.6 degrees

b ≈ (sin(96.6°)*18)/sin(29°) ≈ 36.8

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The question is -

Solve the triangle. Angle A is opposite side a, Angle B is opposite side b and Angle C is opposite side c. Round final answers to the nearest 10th

Given data: side a = 18, side c = 27, angle A = 29 degrees.

The solution to the differential equation \(y{"+ 2y'+ y = -7e^{(-t)\) is \(y = (a + bt)e^{(-t)} + (7/2)e^{(-t)\), where 'a' and 'b' are constants of integration.

To find the particular solution (yp) of the given second-order linear homogeneous differential equation: \(y{"+ 2y'+ y = -7e^{(-t)\)

We first find the homogeneous solution (yh) by setting the right-hand side equal to zero: y′′ + 2y′ + y = 0

The characteristic equation for this homogeneous equation is:\(r^2 + 2r + 1 = 0\)

We solve the characteristic equation: \((r + 1)^2 = 0\)

r + 1 = 0

r = -1

Since we have a repeated root, the homogeneous solution is of the form:

\(yh = (a + bt)e^{(-t)\)

where 'a' and 'b' are constants of integration.

Now, let's find the particular solution (yp). We assume the particular solution has a form similar to the right-hand side of the equation: \(yp = Ae^{(-t)\)

where 'A' is a constant to be determined.

Differentiating yp with respect to 't', we find: \(yp' = -Ae^{(-t)\)

Differentiating again, we have: \(yp'' = Ae^{(-t)\)

Substituting these derivatives into the original differential equation:

\(Ae^{(-t) }+ 2(-Ae^{(-t)}) + Ae^{(-t) }= -7e^{(-t)\)

Simplifying: \(-2Ae^{(-t)} = -7e^{(-t)}\)

Dividing by \(-2e^{(-t)\): A = 7/2

Therefore, the particular solution is: \(yp = (7/2)e^{(-t)\)

Finally, the complete solution is the sum of the homogeneous and particular solutions: y = yh + yp

\(y = (a + bt)e^{(-t)} + (7/2)e^{(-t)\) where 'a' and 'b' are constants of integration.

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The complete question is:

Find a solution to  \(y{"+ 2y'+ y = -7e^{(-t)\). Use a and b for the constants of integration associated with the homogeneous solution. y=yh​+yp​=

Answer:

2496

Step-by-step explanation:

the picture is not available, pls try again

Length of distance of arc = 2πr × (∅/360)

∅ = 1/60 × 360 = 6⁰

Length = 2 × 22/7 × 3960(6/60)

Length = 44/7 × 3960 × 1/10

Length = 44/7 × 396

Length = 2489.142 cm

Answer:

49,368

Step-by-step explanation:

So let's break it up:

7 x 104 = 748

8 x (10 - 3) = 66

748 x 66 = 49,368

Answer:

7x104 =728  

8x10=80

80-3=77

i dont know  if you need this but 728 x 77=56056

Step-by-step explanation:

Answer:

Step-by-step explanation:

Five plus five = 10 hehehe

Answer:

2. x=4

3. y= -7

4. y = -7

5. w = 0

Step-by-step explanation:

2.

4x-15=1

4x=16

x=4

3.

2y+3= -11

2y=-14

y= -7

4.

2y+7= -7

2y = -14

y = -7

5.

3w+3=3

3w = 0

w = 0

Answer:

B)

a + c = 7

9a + 4c = $43

Step-by-step explanation:

There're 7 tickets which were bough in total. Two different types of tickets, one which represented children, the other for adults. The adult ticket is represented by a and is 9 dollars. The children's ticket is represented by c and is 4 dollars.

Have a nice April Fool's XD.

a. Pair 2 is selected.

b. Respiratory system, its function is to breathe. Digestive system, its function is to break down food into nutrients.

c. The two systems work together by sharing the region of the mouth and upper throat.

First picture in Pair 2 is Respiratory system, which its function is to breathe. Second picture in Pair 2 is Digestive system, which its function is to break down food into nutrients such as carbohydrates, fats and proteins. The respiratory system takes in oxygen from the air, and also gets rid of carbon dioxide. The digestive system absorbs water and nutrients from the food we consume.

The respiratory system is mainly used to transport air, whilst the digestive system is used to transport fluids and solids, from water and food we eat. The respiratory and the digestive systems share the area of the mouth and upper throat, in which air, fluids, and solids can be mixed.

The digestive system does homeostasis by ensuring that the stomach area has the right pH balance. The body uses both positive and negative mechanisms to perform homeostasis. If the body detects an imbalance, the other systems work together to counterbalance and restore the right equilibrium.

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2 intersecting lines are shown. A line with points T, R, and W intersects a line with points S, R, and V at point R.  the value of x  is  mathematically given as

x=20

This is further explained below.

In most cases, two lines that cross one other are shown. In this example, line TW and line SV meet at point R.

The angles are as follows, starting at the top and moving clockwise:

Angels \(3x\textdegree \ and\ (x+40 \textdegree)\) are considered horizontal angles because of the description (opposite when two lines intersect). Vertical angles are equivalent, therefore

x=20

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Answer:

\(735 = 3 \times 5 \times {7}^{2} \)

Step-by-step explanation:

\(735 = 7 \times 105\)

\(735 = 7 \times 3 \times 35\)

\(735 = 7 \times 3 \times 5 \times 7\)

\(735 = 3 \times 5 \times {7}^{2} \)

Answer: the letter B.

Answer:

one (Roman numeral one)

Step-by-step explanation:

Because the line goes straight like she is climbing up the hill at a steady pace then boom! all of a sudden she is falling down the hill and gaining major amounts of momentum causing the line to go up as she gets faster and faster.

The median and quartiles fall in the middle age classes.

The median is the middle value in a set of data, meaning that half of the data falls below the median and half falls above it. The quartiles divide the data into four equal parts, with the first quartile (Q1) being the 25th percentile, the second quartile (Q2) being the median or 50th percentile, and the third quartile (Q3) being the 75th percentile.

In terms of age classes, the median and quartiles would fall in the middle age classes. For example, if the age classes were 0-10, 11-20, 21-30, 31-40, 41-50, 51-60, 61-70, 71-80, and 81-90, the median and quartiles would fall in the 21-30, 31-40, and 41-50 age classes.

It is important to note that the specific age classes that the median and quartiles fall in will depend on the distribution of the data. However, they will always fall in the middle age classes, as they represent the middle values of the data set.

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in the II Quadrant, let's recall that the adjacent side or cosine is negative whilst the opposite side or sine is positive, thus

\(tan(\theta )=-\sqrt{\cfrac{19}{17}}\implies tan(\theta )=\cfrac{\stackrel{opposite}{\sqrt{19}}}{\underset{adjacent}{-\sqrt{17}}}\impliedby \qquad \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}\)

\(c=\sqrt{(-\sqrt{17})^2~~ + ~~(\sqrt{19})^2}\implies c=\sqrt{17+19}\implies c=\sqrt{36}\implies c=6 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill cos(\theta )=\cfrac{\stackrel{adjacent}{-\sqrt{17}}}{\underset{hypotenuse}{6}}~\hfill\)

In this experimental design, the y variable is the testosterone levels.

A variable is defined as any symbol or letter that is used to express an unknown quantity. There are two types of variables: the dependent variable (y variable) and the independent variable ( x variable).

An independent variable (x variable) is the variable which causes the change in another variable.

A dependent variable (y variable) is the result or effect of that change in the dependent variable.

If we are interested in what happens to testosterone levels as the men age in adult men ages 18 years and older, then the x variable is the age and the y variable is the testosterone levels.

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The equation of g(x) is 24 (3)ˣ when the graph is stretched vertically by a factor of 3 to form the graph g(x).

What is function?

For the parent function f(x) and a constant k >0,

then, the function given by  

g(x) = kf(x) can be sketched by vertically stretching f(x) by a factor of k if k>1 (or)

if 0 < k < 1 , then it is vertically shrinking f(x) by a factor of k

As per the given statement that the graph of f(x) is stretched vertically by a factor of 3 i.e

k = 3 >1

so, by definition

g(x) = 3 f(x) = 3 . 8(3)ˣ

= 8(3)ˣ⁺¹

= 24 (3)ˣ

Hence, the equation of g(x) is 24 (3)ˣ when the graph is stretched vertically by a factor of 3 to form the graph g(x).

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Answer:

D)

Step-by-step explanation:

so, it simply means that all 4 events (the 4 machine parts work) are one combined event.

so, the probability that the machine works properly is the product of the 4 single probabilities :

0.97 × 0.97 × 0.99 × 0.93 = 0.86628663 ≈ 0.8663