2. Avea checked out 18 books
from the library. Half of them
are nonfiction. How many
nonfiction books did she check
out?

There are two sign changes in the coefficients, which means that there could be 2 or 0 negative roots. So the answer is "2 or 0 negative real roots"

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.

The function f(x) = x³ +7x² - 5x + 19 is a polynomial function of degree 3, which means it has 3 roots (also known as zeros or solutions) that could be real or complex.

To determine the number of negative real roots, we can use the fact that a cubic function has at least one real root.

x³ +7x² - 5x + 19

the first coefficient is positive, the second is positive, the third is negative, and the fourth is positive.

There are two sign changes in the coefficients, which means that there could be 2 or 0 negative roots. So the answer is "2 or 0 negative real roots"

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9514 1404 393

Answer:

Step-by-step explanation:

The external angle at A is half the difference of the arcs it intercepts. The inscribed angle y is half the measure of arc CD. The sum of the arcs of a circle is 360°. These relations let us write some equations.

  (BC -x°)/2 = ∠A

  BC + CD + x° = 360°

  y° = CD/2

__

Given that BC = 120° and ∠A = 20°, we can use the first equation to find x.

  (120 -x)/2 = 20

  120 -x = 40 . . . . . multiply by 2

  120 -40 = x = 80 . . . . add x-40

Using known values in the second equation gives ...

  120 +CD +80 = 360

  CD = 160 . . . . . . . subtract 200

Then y is found from the third equation.

  160/2 = y = 80

Answer:

Area of trapezoid:

12 + 6<-- your two bases of the trapezoid = 18

18 x 4 = 72, 72 divided by 2 = 36

now we multiply by 2 since there are 2 trapezoids:

36 x 2 = 72

Area of rectangle in front:

6 x 3 = 18

Area of the 2 rectangles on the sides:

5 x 3 = 15

(multiply by 2 since there are two rectangles on both sides)

15 x 2 = 30

Area of rectangle on the back:

12 x 3 = 36

Now lets add up all the areas:

72 + 18 + 30 + 36 = 156 in2 is your answer.

Prime numbers of the form p and p+2, where p is a prime number, are known as twin prime numbers.

A twin prime is a prime number that is either 2 less or 2 more than another prime number. For example, the number 3 and 5 are twin primes, because they are both prime and the number 5 is 2 more than 3. Similarly, the number 5 and 7 are also twin primes, because they are both prime and the number 7 is 2 more than 5.

Therefore, Twin primes are considered as interesting numbers in number theory because of their relative rarity, rare in nature and because they are the building blocks for certain types of primes such as Sophie Germain primes and safe primes.

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Answer:

13 is the right answer

Step-by-step explanation:

is the right answer

Answer:

To find Q1, Q2, Q3, and the interquartile range (IQR) of a data set, we need to first arrange the data in numerical order. For the given data set, the ordered data is:

7, 8, 10, 12, 12, 14, 15, 15, 16, 19, 21, 23, 24

To find Q1, we need to find the median (Q2) of the lower half of the data. The lower half of the data is:

7, 8, 10, 12, 12, 14

There are 6 values in the lower half of the data, so the median (Q2) is the average of the 3rd and 4th values, which is (10 + 12) / 2 = 11. Therefore, Q1 = 11.

To find Q3, we need to find the median (Q2) of the upper half of the data. The upper half of the data is:

15, 15, 16, 19, 21, 23, 24

There are 7 values in the upper half of the data, so the median (Q2) is the fourth value, which is 19. Therefore, Q3 = 19.

To find the IQR, we need to subtract Q1 from Q3. The IQR is equal to Q3 - Q1 = 19 - 11 = 8.

The correct answers are:

1.  Interquartile Range = 8

2.  Q3 = 19

3.  Q2 = 11

4.  Q1 = 8

Therefore, the correct answer choices are:

a. 15 (incorrect)

b. 9 (incorrect)

c. 20 (incorrect)

d. 11 (correct)

The rate of the plane in still air is 800 km/h while the rate of the wind is 210 km/h

An equation is an expression composed of variables and numbers linked together by mathematical operations.

Let x represent the speed of the airplane in still air and y represent the speed of the wind.

Flying against the wind, an airplane travels 4720 kilometers in 8 hours. Hence:

x - y = 4720 km / 8 hr

x - y = 590    (1)

Flying with the wind, the same plane travels 4040 kilometers in 4 hours. Hence:

x + y = 4040 km / 4 hr

x + y = 1010    (2)

From both equations:

x = 800, y = 210

The speed of the airplane is 800 km/h

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Answer:

It is A

Step-by-step explanation:

a is between 0 and 1 because in that little section in the fourth quadrant(the bottom right part of the graph) the y increases by around 12, and the x only increases by 8, which means the slope is 8/12, or 2/3. a is equal to the slope, so it is between 1 and 0. b is less then 1, because the y intercept is below the x axis, and b controls the y intercept, so b is negative, and therefore less then 1. Sorry if this is a bad explanation.

Answer:

[tex] \sf \: a) \: 1[/tex]

Step-by-step explanation:

Given values of variables,

→ e = 3.2

→ d = 10

→ u = 7

The problem needed to solve is,

[tex] \sf \rightarrow \: \frac{ue}{eu} [/tex]

Let's solve the problem,

[tex] \sf \rightarrow \: \frac{ue}{eu} [/tex]

[tex] \sf \rightarrow \: \frac{(7 \times 3.2)}{(3.2 \times 7)} [/tex]

[tex] \sf \rightarrow \: \frac{22.4}{22.4} [/tex]

[tex] \sf \rightarrow \: \frac{1}{1} = 1[/tex]

Hence, option (a) is correct.

Answer:

Option A ) 1

Step-by-step explanation:

[tex]\frac{ue}{eu} = \frac{3.2X7}{7X3.2} = \frac{22.4}{22.4} = 1[/tex]

Hence , Option A ) is the answer

The data represented by the steam-leaf plot is 115, 138, 145, 145, 156, 166, 168, 168, 175, and 187.

A stem and leaf plot, also known as a stem and leaf diagram, is a way to arrange data so that it is simple to see how frequently various sorts of values occur. It is a graph that displays ordered numerical data. A stem and a leaf are divided into each piece of data.

A stem and leaf plot is shown as a customized table with the first or final digit of each data value divided into a stem and the remaining digit in a leaf.

9 I 0 ⇒ 9 on the stem and 0 on the leaf read as 90.

Given, A stem leaf plot and the leaf represents the tens digit.

As the leaf represents tens digits the data set can be represented by,

115, 145, 145, 175, 156, 166, 187, 138, 168, 168.

Representing the data set in ascending order we have,

115, 138, 145, 145, 156, 166, 168, 168, 175, 187.

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Need photo of the segment.

Answer:

23

Step-by-step explanation:

Answer:

Number 6:

A: C= 5

B: D= 9

C: X= -7/3

D: M= 12

Answer:

6 is the correct answer

Step-by-step explanation:

If you distribute you will get 4-3+5

Which is equal to 6

Answer:

The probability of choosing a professor or an instructor is 47.22%.

Step-by-step explanation:

Given that the mathematics faculty at a college consists of 11 professors, 12 associate professors, 7 assistant professors, and 6 instructors, if a faculty member is selected, to find the probability of choosing a professor or an instructor the following calculation must be performed:

11 + 12 + 7 + 6 = 100

11 + 6 = X

36 = 100

17 = X

17 x 100/36 = X

1700/36 = X

47.22 = X

The probability of choosing a professor or an instructor is 47.22%.

The line that passes through these two points is y=x-2

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here function whose graph contains the points (9, 7) and (4, −8)

Thus using the two point formula for a line we get the equation as              y-7=(x-9)

y=x-2

Hence, The line that passes through these two points is y=x-2

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Answer:

0.0208

Step-by-step explanation:

Using the formula for calculating margin of error is expressed as;

M = z * √p(1-p)/n

z is the z score at 90 % interval

p is the proportion

n is the sample size

p = 0.2

n = 1000

z = 1.645

M = 1.645 * √0.2(1-0.2)/1000

M = 1.645 * √0.2(0.8)/1000

M = 1.645 *  0.01264

M = 0.0208

Hence the margin of error is 0.0208

the answer is 12

I just took the test and the hypotenuse is always 2 times the smaller leg

Answer

A(-10, 9), A'(-4, 9)

B(-4, 2), B'(-10, 2)

C(-7, 9), C'(-7, -4)

Example 3:

A(-3, 5), A'(3, 5)

B(-3, 0), B'(3, 0)

C(-3, 5), C'(-3, -10)

Answer:

last one

Step-by-step explanation:

Answer:

Melanie get $1

Step-by-step explanation:

let the money that Melanie gets be x

4.1:20.5=x:$5.00

4.1/20.5=x/$5.00

20.5x=4.1*$5.00

x=$20.5/20.5

x=1

therefore,Melanie will get $1

Answer:

D

Step-by-step explanation:

first simplify everything

2/9v + 1/3v - 5/9

A and B is wrong because it is - 5/9 not + 5/9

C is wrong because it is -1/3v not 1/3, it is supposed to be - 5/9

You can solve this problem without much solving

hope this helps :)

Answer:

0.910

Step-by-step explanation:

since it'snot perfect it can't be one and since it a positive slope it is 0.9102.

Answer: try 5 it is most likly right

Step-by-step explanation:

N/A

Answer:

2.66

Step-by-step explanation:

Answer:

2.66

Step-by-step explanation:

look at first at tenths for the biggest no .if there is a tie proceed to hundredths for biggest no and so on

On solving the provided question, we can say that - the value of the following polynomial will be 3x^2 = 5 => x^2 = 5/3

A polynomial is a mathematical statement made up of coefficients and uncertainty that exclusively uses additions, subtractions, multiplications, and positive integer powers of variables. A single indeterminate x polynomial is represented by the expression x2 4x + 7. A polynomial is an expression in mathematics that consists of variables (sometimes referred to as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. A polynomial is an algebraic expression made up of coefficients and variables. The only operations that an expression can contain are addition, subtraction, multiplication, and non-negative integer exponents. These expressions are known as polynomials.

here,

[tex]3x^{-2}-5[/tex]

3x^2 = 5

x^2 = 5/3

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Answer:

3√6

Step-by-step explanation:

[tex]\sqrt{54} =\sqrt{9*6}=\sqrt{9} *\sqrt{6}=3*\sqrt{6} =3\sqrt{6}[/tex]

Answer:

3/6 i cant use the weird symbol bc my keyboard

Step-by-step explanation:

Answer:

2. (8, 5) and (2,9)

3. I don’t know how to show this to you.