What is the Nature of Roots of x^2+9x+14=0?

If rxy = 0.83, we can conclude that x and y have a relatively strong positive linear relationship or correlation.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables, in this case, x and y. The value of r ranges between -1 and 1. A positive value indicates a positive relationship, meaning that as one variable increases, the other variable tends to increase as well.

In this case, with rxy = 0.83, the correlation coefficient is close to 1, suggesting a strong positive linear relationship. This means that when x increases, y also tends to increase, and vice versa. The closer the value of r is to 1, the stronger the linear relationship between x and y.

It is important to note that correlation does not imply causation. While a high correlation coefficient indicates a strong linear relationship, it does not provide information about the underlying cause or direction of the relationship between the variables. Other factors and variables may influence the relationship, and further analysis may be required to understand the nature of the relationship between x and y.

To learn more about correlation click here:

brainly.com/question/16169720

#SPJ11

Answer:

C) A random sample of homes in the city is taken, and city officials visit these homes and survey the homeowners.

We can see that the method that would not provide a voluntary response sample is: C) A random sample of homes in the city is taken, and city officials visit these homes and survey the homeowners.

Voluntary response sample refers to the sample that participants chose to be involved in and such is carried out voluntarily without compulsion.

Thus, we see here that the method that would not provide a voluntary response sample is the random sample method.

Learn more about the voluntary response sample on https://brainly.com/question/13298621

#SPJ2

Answer:

(15f + 37f + 52 + 55) = ?

15f + 37f = 52f

52 + 55 = 107

So, (15f + 37f + 52 + 55) = 52f + 107.

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

An example of matrices A, B, and C that fit the given conditions are:

A = | 1 2 |
| 3 4 |

B = | 5 6 |
| 7 8 |

C = | 9 10 |
| 11 12 |

Even though B does not equal C and A does not equal 0, the product of AB and AC are the same:

AB = | 1*5 + 2*7 1*6 + 2*8 |
| 3*5 + 4*7 3*6 + 4*8 | = | 19 22 |
| 43 50 |

AC = | 1*9 + 2*11 1*10 + 2*12 |
| 3*9 + 4*11 3*10 + 4*12 | = | 31 34 |
| 69 78 |

As you can see, the product of AB and AC are the same, even though B does not equal C and A does not equal 0. This is an example of how matrices can have the same product even if they are not the same matrix.

To know more about matrices refer here:

https://brainly.com/question/31017647#

#SPJ11

Answer:

y=3x+7

Step-by-step explanation:

subtract 7 from 10 to get answer

Answer:

The total percentage loss would be 67%.

Step-by-step explanation:

Since we have given that

Rate of decline each year = 20%

Number of years = 5

We need to find the total percentage loss in value of the house at the end of 5 years.

So, Total percentage loss would be

Answer:

6x + 4y = 16

Step-by-step explanation:

2(3x + 2y = 8)

2(3x + 2y) = 2(8)

6x + 4y = 16

Answer:

6x+4y=16

Step-by-step explanation:

2 (3x+2y=8)

2×3x+2×2y=2×8

=6x+4y=16 ans.

Answer:

5/6, -0.62, -0.615

Step-by-step explanation:

Hope this Help If i got it wrong I'm sorry I tried :(

Step-by-step explanation:

For the first equation you need to divide 25 with 18,175 which equals 1/727.

The second one you need to divide 92 with 20,884 which also equals 1/727.

So the answer will be 1/727

Answer:

A right triangle is shown. The length of the hypotenuse is 16, the base is 13.9, and the other side is 8. The top angle is 60 degrees and the bottom right angle is 30 degrees.

Step-by-step explanation:

The measures of the angles of in a triangle should correspond to the length size of the side opposite each angle in a triangle.

In simple terms, this means that the larger the measure of an angle, the longer the length of the side opposite that angle. Therefore, the smallest measure of an the 3 angles in the triangle should correspond with the shortest length.

Therefore, the triangle with the correct side length would be "A right triangle is shown. The length of the hypotenuse is 16, the base is 13.9, and the other side is 8. The top angle is 60 degrees and the bottom right angle is 30 degrees." Check the attachment below to see how each side length corresponds with each angle opposite them.

Answer:

D

Step-by-step explanation:

your welcome

(a)  The volume of the solid is given by the integral: V = ∫ (2πx)(2 - √x) dx.

(b)  the volume of the solid is given by the integral: V = ∫ (2π)(4 - x)(2 - √x) dx.

To find the volume of the solid generated by revolving the region R around the given lines, we can use the method of cylindrical shells.

(a) Revolving R around the line y = 0:

First, let's sketch the region R bounded by the curves y = √x, y = 2, and x = 0:

```

       |         y = 2

       |

       |    √x

       |

_______|_______ x = 0

```

To find the volume, we integrate the circumference of each cylindrical shell multiplied by its height.

The height of each shell will be the difference between the upper and lower curves, which is 2 - √x.

The radius of each shell will be the x-coordinate, which is x.

The circumference of each shell is given by 2πr = 2πx.

Therefore, the volume of the solid is given by the integral:

V = ∫ (2πx)(2 - √x) dx

(b) Revolving R around the line x = 4:

Again, let's sketch the region R:

```

       |         y = 2

       |

       |    √x

       |

_______|_______ x = 4

```

In this case, the height of each shell will still be 2 - √x, but the radius will be the distance from the line x = 4 to each x-coordinate, which is 4 - x.

So the volume of the solid is given by the integral:

V = ∫ (2π)(4 - x)(2 - √x) dx

Learn more about integral here:

https://brainly.com/question/31109342

#SPJ11

A logical implication is considered true if the antecedent (p or q or r) implies the consequent (q or p or r), meaning that if the antecedent is true, then the consequent must also be true.

The six possible logical implications between pairs of propositions p, q, and r are:

A logical implication is considered true if the antecedent (p or q or r) implies the consequent (q or p or r), meaning that if the antecedent is true, then the consequent must also be true. However, the converse of the implication may not be true, meaning that if the consequent is true, the antecedent may not be true.

Whether or not any of p, q, and r are logically equivalent to another depends on the specific logical relationships between them. Logical equivalence occurs when two propositions have the same truth value, meaning that they are both true or both false, regardless of the truth values of the other propositions.

Learn more about antecedent :

https://brainly.com/question/24734058

#SPJ4

RP is an arc of a circle with radius 10 cm and central angle of  36⁰. The length of arc RP is 2π  cm

An arc of a circle is defined as a segment of the circumference of a circle.

Suppose the arc is facing a central angle θ, then the length of this arc is given by:

arc's length = (θ/360⁰) x C

Where:

C = circle circumference = 2πr

r = radius of the circle.

Hence,

arc's length = (θ/360⁰) x  2πr

In the given problem, the radius is the length of OR. Therefore,

r = 10 cm

θ = central angle = 36⁰

Plug these parameters into the formula:

length of arc RP = (36⁰/360⁰) x  2π x 10

                           = (1/10) x  2π x 10

                           = 2π  cm

Learn more about circle here:

https://brainly.com/question/28108430

#SPJ4

Answer:

(secΘ+tanΘ-1)(secΘ-tanΘ+1)

=sec²Θ-secΘtanΘ+secΘ+secΘtan-tan²Θ+tanΘ-secΘ+tanΘ-1

=2tanΘ+(sec²Θ-tan²Θ)-1

=2tanΘ+1-1

=2tanΘ

The answer that describes the polygon RSTU is as follows:

A quadrilateral is a polygon with 4 sides. Therefore, let's use the properties to find the name of the shape  RSTU as follows:

The polygon has 4 sides therefore, it is a quadrilateral.

The quadrilateral has opposite side parallel to each other. The opposite sides are RS and TU.

A trapezoid is a quadrilateral with only one pair of opposite side parallel to each other.

Therefore, the shapes that defines the polygon are as follows:

learn more on quadrilaterals here: https://brainly.com/question/30364800

#SPJ1

To solve the problem of a vibrating string with damping using numerical methods and time steps, follow these steps:

1. Discretize the string into a set of points along its length.

2. Use a finite difference method, such as the central difference method, to approximate the derivatives in the equation.

3. Apply the difference equation to each point on the string, considering the damping force and given parameters.

4. Set up the initial conditions for the string's displacement and velocity at each point.

5. Iterate over time steps to update the displacements and velocities at each point using the finite difference equation.

6. Compute and store the values of the solution at selected points for analysis.

7. Compare the numerical solution with the analytical solution, if available, to assess accuracy.

8. Plot the results to visualize the behavior of the vibrating string over time.

9. If using MATLAB, write a script to implement the numerical method and generate plots.

Note: The specific equation and initial conditions are missing from the given question, so adapt the steps accordingly.

To know more about Function visit-

brainly.com/question/31062578

#SPJ11

The first four terms of the sequence are 5, -4, 14, and -22.

We have,

The first term is given as a_1 = 5.

To find the next term, we use the formula:

a_n = -2a_(n-1) + 6.

Now,

a_2

= -2a_1 + 6

= -2(5) + 6

= -4

For the third term:

a_3 = -2a_2 + 6 = -2(-4) + 6 = 14

And for the fourth term:

a_4

= -2a_3 + 6

= -2(14) + 6

= -22

Thus,

The first four terms of the sequence are 5, -4, 14, and -22.

Learn mroe about sequences here:

https://brainly.com/question/30262438

#SPJ1

Answer:

Step-by-step explanation:

4x = 6/5 * 3

4x = 18/5

x = 18/5*4 = 9 / 10 = 0.9 Ans.

Answer:

0.9 I hope it help you to do this question

The regular pentagon's perimeter is therefore sqrt(101) units when its adjacent edges are at A(-3, 5) and B(7, 6).

The perimeter of a two-dimensional object is the space surrounding it. It represents the total length of the shape's edges. Typically, the perimeter is calculated using measures like centimetres, metres, or feet.

given

We can use the calculation for the distance between the two provided vertices to determine the length of one side:

sqrt[(7 - (-3))2 Plus (6 - 5)2] yields AB. = sqrt[10^2 + 1^2] = sqrt(101) (101)

Since the five sides of a normal pentagon are all the same length, one side's length is:

sqrt(101) / 5

s = AB / 5

Now, utilising the method for the regular pentagon's perimeter, we have:

Circumference = 5s = 5 sqrt(101) / 5 = sqrt (101)

The regular pentagon's perimeter is therefore sqrt(101) units when its adjacent edges are at A(-3, 5) and B(7, 6).

To know more about perimeter visit:

https://brainly.com/question/6465134

#SPJ1

The dimensions of Noah's Ark in feet are 450 feet by 75 feet if the dimensions of Noah's Ark is 3.0 × 102 cubits by 5.0 × 101 cubits.

Noah's Ark is said to have dimensions of 3.0 × 10^2 cubits by 5.0 × 10^1 cubits. To convert these measurements to feet, we can use the conversion factor of 1 cubit = 1.5 feet.

First, we need to convert the length of the ark from cubits to feet. To do this, we multiply the length of the ark in cubits (3.0 × 10^2) by the conversion factor of 1.5 feet/cubit. This gives us a length of

3.0 × 10^2 cubits x 1.5 feet/cubit = 450 feet

Similarly, we can convert the width of the ark from cubits to feet by multiplying the width in cubits (5.0 × 10^1) by the conversion factor of 1.5 feet/cubit. This gives us a width of:

5.0 × 10^1 cubits x 1.5 feet/cubit = 75 feet

To know more about Ark here

https://brainly.com/question/28350760

#SPJ4

The value of (g-f)(X) is 2x - 6x³ +6.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

f(x)= 6x³-4, g(x)= 2x+2

Now,

(g-f)(x)= g(x)-f(x)

= 2x+2-( 6x³-4)

=2x+2- 6x³+4

=2x - 6x³ +6

Learn more about function here:

https://brainly.com/question/12431044

#SPJ1

Answer:

hope it Helps

Step-by-step explanation:

Brainliest please

Answer: the answer above me was not correct for me.

Step-by-step explanation:

Answer:

92.97

Hope this helped!

Answer:

A= 100.3

B= 43.5

C =36.2

Step-by-step explanation:

Answer:

The answer for Acellus people is

A = 100.3

B = 43.5

C = 36.2

Step-by-step explanation:

The solution to the given differential equation is G(x) = ±Ce^(-фx), where C = e^C is a constant.

To solve the differential equation dG/dx = -фG, we can separate variables by multiplying both sides by dx and dividing by G. This yields:

1/G dG = -ф dx

Integrating both sides, we obtain:

∫(1/G) dG = -ф ∫dx

The integral of 1/G with respect to G is ln|G|, and the integral of dx is x. Applying these integrals, we have:

ln|G| = -фx + C

where C is the constant of integration. By exponentiating both sides, we get:

|G| = e^(-фx+C)

Since the absolute value of G can be positive or negative, we can rewrite the equation as:

G(x) = ±e^C e^(-фx)

Here, ±e^C represents the arbitrary constant of integration. Therefore, the solution to the given differential equation is G(x) = ±Ce^(-фx), where C = e^C is a constant.

For more information on differential equation visit: brainly.com/question/32146993

#SPJ11

Answer: 9 1/3%

Step-by-step explanation:

The average temperature on Saturday was 62.6 °F, then the actual temperature will be equal to 17 °C.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given information in the question,

The temperature on Saturday was 62.6 F

Then, the actual temperature will be,

C = 5/9(F -32)

C = 5/9(62.6 - 32)

C = 5/9(30.6)

= 17 °C

To know more about arithmetic operations:

https://brainly.com/question/25277954

#SPJ1

Answer:

s = 10

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion , that is

\(\frac{AB}{XY}\) = \(\frac{BC}{YZ}\) ( substitute values )

\(\frac{8}{4}\) = \(\frac{s}{5}\) ( cross- multiply )

4s = 40 ( divide both sides by 4 )

s = 10