What is the value of the discriminant of 0=-2x^2+6x+13

Complete the sentences below the radius of a circle is _____ the length of its diameter. the diameter of a circle is ______ the

son4ous [18]

Answer:

Half; twice

Step-by-step explanation:

In a circle, the radius is said to be the distance from the center of the circle to any point on the edge of the circle, it is denoted as "r". The radius is called a radii if it is more than one.. The radius of a circle is half the length of the diameter of a circle because the diameter of a circle is the distance of the line that passes through the center of a circle touching both edges of the circle. It is denoted as "d".

Thus,

2r = d

r = d/2

For example, if the radius of a circle is 10cm, the diameter of the circle will be calculated as: d = 2 * 10 = 20cm. Which means if the radius is 10cm, diameter will be 20cm.

Therefore, the radius of a circle is half the length of its diameter. the diameter of a circle is twice the length of its radius

5 0

3 years ago

Federal Rent-a-Car is putting together a new fleet. It is considering package offers from three car manufacturers. Fred Motors i

Viefleur [7K]

Answer:

40 packages from Fred Motors
20 packages from Admiral Motors
40 packages from Chrysalis

Step-by-step explanation:

I would formulate the problem like this. Let f, a, c represent the numbers of packages bought from Fred Motors, Admiral Motors, and Chrysalis, respectively. Then the function to minimize (in thousands) is …

objective = 500f +400a +300c

The constraints on the numbers of cars purchased are …

5f +5a +10c >= 700

5f +10a +5c >= 600

10f +5a +5c >= 700

Along with the usual f >=0, a>=0, c>=0. Of course, we want all these variables to be integers.

Any number of solvers are available in the Internet for systems like this. Shown in the attachments are the input and output of one of them.

The optimal purchase appears to be …

40 packages from Fred Motors
20 packages from Admiral Motors
40 packages from Chrysalis

The total cost of these is $40 million.

8 0

4 years ago

If sample variance is computed by dividing SS by df = n – 1, then the average value of the sample variances from all the possibl

boyakko [2]

Answer:

$s^2 = \frac{SS}{n-1}$

And if we take the average value of the sample variances from all the possible random samples we will get the population variance:

$\sigma =\frac{SS}{n}$

So then the best answer for this case would be:

The average value of the sample variances from all the possible random samples will be exactly the population variance

Step-by-step explanation:

For this case we can define the sum of squares with this formula:

$SS = \sum_{i=1}^n (X_i -\bar X)^2$

Where:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

And we can find the sample variance with this formula:

$s^2 = \frac{SS}{n-1}$

And if we take the average value of the sample variances from all the possible random samples we will get the population variance:

$\sigma =\frac{SS}{n}$

So then the best answer for this case would be:

The average value of the sample variances from all the possible random samples will be exactly the population variance

6 0

3 years ago

Every student in the senior class is taking history or science and 85 of them are taking both. If there are 106 seniors taking h

MissTica

Number of students in senior class is 130

<em><u>Solution:</u></em>

Given that Every student in the senior class is taking history or science

85 of them taking both history and science

106 seniors takes history

109 seniors takes science

To find: number of students in senior class

Let A be the set of the students of the senior class that take history

Let B be the set of students of senior class that they science

The number of students in senior class is given by:

$|A \cup B|=|A|+|B|-|A \cap B|$

Where,

A = 106 and B = 109 and |A n B| = 85

$|A \cup B|=106+109-85=130$

Thus number of students in senior class is 130

5 0

4 years ago

What is the answer to this equation <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B4%7D%3D5%20" id="TexFormula1" title="

Marizza181 [45]

Multiply both sides by 4 to isolate the x term.

x = 5 × 4

x = 20

8 0

4 years ago