Please help due by 2

The range of the function on the graph is all the real numbers greater than or equal to 0. Option B is the correct answer.

The graph of the function is a parabola that opens upwards, which means that the range of the function is all the real numbers greater than or equal to 0. The function can never take on a value less than 0, because the parabola never touches or crosses the x-axis.

The other answer choices are incorrect because they do not include all the possible values of the function. For example, the answer choice O. all the real numbers is incorrect because the function can never take on a negative value.

The answer choice O. all the real numbers greater than or equal to 2 is incorrect because the function can take on values greater than 2, such as 3, 4, and so on.

The answer choice O. all the real numbers greater than or equal to -3 is incorrect because the function can take on values greater than -3, such as 0, 1, and so on.

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a. -0.0067...............

As the condition "1. Decreasing absolute values and 2. Limit of the terms" of the Alternating Series Test are met, so the series converges.

The given series is an alternating series, which can be written as:
Σ((-1)^n / (3n+1)), with n ranging from 1 to infinity.

To test for convergence using the Alternating Series Test, we need to verify two conditions:

1. The absolute value of the terms must be decreasing: |a_(n+1)| ≤ |a_n|
2. The limit of the terms must approach zero: lim(n→∞) a_n = 0

Let's examine these conditions:

1. Decreasing absolute values:
a_n = (-1)^n / (3n+1)
a_(n+1) = (-1)^(n+1) / (3(n+1)+1) = (-1)^(n+1) / (3n+4)
Since n is always positive, it's clear that the denominators (3n+1) and (3n+4) increase as n increases. Therefore, the absolute values of the terms decrease.

2. Limit of the terms:
lim(n→∞) |(-1)^n / (3n+1)| = lim(n→∞) (1 / (3n+1))
As n goes to infinity, the denominator (3n+1) grows without bounds, making the fraction approach zero. Thus, lim(n→∞) (1 / (3n+1)) = 0.

Both conditions of the Alternating Series Test are met, so the series converges.

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The trisaccharide present in high abundance in human milk that helps infants fight viral infection is Lacto-N-fucopentaose III (LNF-III).

It consists of three monosaccharides: fucose, galactose (Gal), and N-acetylglucosamine (GlcNAc). The glycosidic bonds present in LNF-III are β1-3 and α1-4.

LNF-III plays a crucial role in the innate immune defense of infants against viral infections. The monosaccharide fucose is attached to the Gal-GlcNAc disaccharide unit through a β1-3 glycosidic bond, forming the backbone of the trisaccharide. This structure is further extended with an α1-4 glycosidic bond between the Gal and GlcNAc residues. The presence of LNF-III in human milk is significant because it acts as a receptor for certain viruses, such as norovirus and rotavirus, which commonly affect infants. These viruses specifically bind to the fucose residue of LNF-III, preventing their attachment to host cells and subsequent infection. Therefore, the abundance of LNF-III in human milk provides a natural defense mechanism for infants against viral pathogens. In summary, the trisaccharide Lacto-N-fucopentaose III (LNF-III) found in human milk contains the monosaccharides fucose , galactose (Gal), and N-acetylglucosamine (GlcNAc). It is formed by a β1-3 glycosidic bond between fucose and the Gal-GlcNAc disaccharide unit, and an α1-4 glycosidic bond between galactose and N-acetylglucosamine. LNF-III serves as a receptor for certain viruses, preventing their attachment to host cells and aiding in the infant's defense against viral infections.

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Given data:

The principal is

The time is

The interest is

Concept:

The formula to calculate interest rate (R) is given below as

By substituting the values in the formula above, we will have

Hence,

The final answer is 5%

Answer:

son 119 pasajeros por vieje y hace 4 viajes ,murtiplicas la cantidad de pasajeros por la cantidad de los viajes osea 119x4 el total seria:476 pasajeros

Answer:

9.53 x 10^5

Step-by-step explanation:

a x 10b

a = 9.53

b = 5

Answer:

9.53

Step-by-step explanation:

math math math math math math

Answer:

\(P=24\: m\)

\(A=41.52 \m^{2}\)

Step-by-step explanation:

El perímetro de un hexágono se calcula de la siguiente manera:

\(P=6*l\)

l es el lado del hexágono l = 4 m

Entonces P es:

\(P=6*4=24\: m\)

El área del hexágono puede calcularse de la siguiente manera:

\(A=\frac{P*Ap}{2}\)

P es el perímetro = 24 m

Ap es la apotema = 3.46 m

El Area sera:

\(A=\frac{24*3.46}{2}\)

\(A=41.52 \m^{2}\)

Espero te haya sido de ayuda!

The domain of the quotient function (f/g)(x) consists of all numbers that belong to both the domain of f and the domain of g which is false.

A statement, opinion, or rule that forms a linking of two variables is characterized as a function. Mathematics has functions, which are necessary for the design of meaningful relationships.

The range refers to all potential values of y, and the domain refers to all conceivable values of x.

The denominator of the rational function shouldn't be 0. The function is not defined if the denominator is 0.

Thus, the given statement is false.

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The Value of the double integral is 9/2.

To Evaluate the double integral ∫∫D x dA, we need to express the region D as a type I or type II region, and then integrate over that region.

For D enclosed by the lines y = x, y = 0, x = 3, we can see that the region is a right triangle with vertices at (0,0), (3,0), and (3,3), so it can be expressed as a type I region with:

a. D = {(x, y) | y ≤ x ≤ 3, 0 ≤ y ≤ x}

or as a type II region with:

b. D = {(x, y) | 0 ≤ y ≤ 3, y ≤ x ≤ 3}

To evaluate the double integral using either of these regions, we can use iterated integrals.

Using a type I region:

∫∫D x dA = ∫0³ ∫y³ x dy dx

= ∫0³ ∫0x x dy dx

= ∫0³ ½x² dx

= 9/2

Using a type II region:

∫∫D x dA = ∫0³ ∫0y y dx dy

= ∫0³ ½y² dy

= 9/2

.

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The value of x from the image attached to the task content is; 10.

It follows from the task content that the value of x is to be determined from the image attached to the task content.

Hence, since it is evident from the task the sides of the smaller triangle and the larger triangle are in the ratio; 1 : 2.

It therefore follows that the ratio of the congruent sides 3x and 4x + 20 is; 1 : 2.

Therefore, we have;

3x/(4x + 20) = 1/2

6x = 4x + 20

2x = 20

x = 10.

Ultimately, the value of x is; 10.

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We cannot prove that the quadrilateral is a parallelogram with only the given information that AB = DC.

What is quadrilateral and parallelogram ?

A quadrilateral is a four-sided polygon, which means it is a closed shape with four straight sides. Some examples of quadrilaterals include rectangles, squares, trapezoids, and rhombuses.

A parallelogram is a special type of quadrilateral where both pairs of opposite sides are parallel. This means that the opposite sides never intersect, and they have the same slope. Additionally, the opposite sides of a parallelogram are congruent (i.e., have the same length), and the opposite angles are also congruent. Some examples of parallelograms include rectangles, squares, and rhombuses.

To prove that a quadrilateral is a parallelogram, we need to show that both pairs of opposite sides are parallel. Knowing that AB = DC only gives us information about the lengths of the sides, but it doesn't tell us anything about their orientation or whether they are parallel.

We would need additional information, such as the measures of angles or the lengths of other sides, to determine whether the quadrilateral is a parallelogram.

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Answer:

hope it helps you see the attachment for further information

The delaware tourism board selected a simple random sample of 50 full-service restaurants located within the state. "N choose n," which calculates the number of possible combinations of n items selected from a set of N items.

Considering all possible simple random samples of size n from a population of full-service restaurants located within the state of Delaware, where n is the sample size, there are a total of (N choose n) possible samples.

In this case, N represents the total number of full-service restaurants in Delaware, and (N choose n) denotes the binomial coefficient, also known as N choose n which calculates the number of possible combinations of n items selected from a set of N items.

If we know the total number of full-service restaurants in Delaware, we can substitute N into the formula (N choose n) to determine the total number of possible samples.

However, without knowing the exact value of N (the population size), we cannot provide the specific number of possible samples. It would be necessary to have information about the total population size to calculate the precise number of possible samples.

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Answer:

$6.30

Step-by-step explanation:

The state sales tax rate in North Carolina is 4.5% estimate the state sales tax on a model of the wright brothers’ airplane that costs $139.99.

You are asked to estimate meaning $139.99 should be rounded to $140. Because 4.5% = 0.045

sales tax (estimated):

0.045 * $140 = $6.30

CHECK:

Exact amount is:

0.045 * 139.99 = $6.29955

Answer:i think its 115 degres

Step-by-step explanation:

The area of the largest rectangle having two vertices on the x-axis and two more vertices above the x-axis and on the parabola with equation y = 9 - x² is 36 square units.

To find the area of the largest rectangle having two vertices on the x-axis and two more vertices above the x-axis and on the parabola with equation y = 9 - x², we need to use optimization techniques.

Let's start by drawing the graph of the parabola and the rectangle:

   |

 9 -|            ************

   |         ****          ****

   |       ***                ***

   |     **                      **

   |    *                          *

   |   *                            *

   | **                              **

   *------------------*------------------*

  x = -3            x = 0              x = 3

Let's call the height of the rectangle h and the width 2x (since we have two vertices on the x-axis). The area of the rectangle is then A = 2xh. To find the maximum area, we need to maximize A with respect to x and h.

The two vertices above the x-axis are on the parabola y = 9 - x², so their coordinates are (x, 9 - x²) and (-x, 9 - x²). The height of the rectangle is therefore h = 9 - x². The width of the rectangle is 2x.

The area of the rectangle is therefore A = 2xh = 2x(9 - x²). To find the maximum area, we need to find the critical points of A(x).

Taking the derivative of A(x) with respect to x, we get:

A'(x) = 18x - 2x³

Setting A'(x) = 0, we get:

0 = 2x(9 - x²)

This gives us two critical points: x = 0 and x = ±√9 = ±3.

To find the maximum area, we need to check which of these critical points give us the maximum value of A(x). We can do this by computing the value of A(x) at each critical point:

A(0) = 2(0)(9 - 0²) = 0

A(3) = 2(3)(9 - 3²) = 36

A(-3) = 2(-3)(9 - (-3)²) = 36

Therefore, the maximum area is obtained when x = ±3, and the area of the rectangle is A = 2x(9 - x²) = 36.

In summary, the area of the largest rectangle having two vertices on the x-axis and two more vertices above the x-axis and on the parabola with equation y = 9 - x² is 36 square units.

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The probability that a randomly selected balloon will be pink is 1 / 2.

Eleven out of the twenty two balloons in a bunch are pink. Therefore, the probability that a randomly selected balloon will be pink can be calculated as follows:

Therefore, probability means possibility.

Hence,

probability  = number of favourable outcome to the number of pink balloons / total number of possible balloons

Therefore,

probability that a randomly selected balloon will be pink = 11 / 22

probability that a randomly selected balloon will be pink  = 1 / 2

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The rate of change of the area of the right triangle at that instant is -1.5 sq km/h.

Let ABC be a right triangle, right-angled at B.

the side decreasing be, BC = x

and the increasing side be, AB = y

then, AC = z = √(x² + y²) (using Pythagoras theorem)

It is given that, dx/dt = - 5km/h and dy/dt = 14 km/h

x = 3, y= 9 at certain instant

now, the area of the triangle = 1/2 xy

A = 1/2 xy

dA/dt = 1/2 (y).dx/dt + x/2.dy/dt

at x = 3, y = 9, substituting the values,

(dA/dt) = 1/2 (9)(-5) + 3/2 (14)

= -1.5

therefore, the rate of change of the area of the right triangle at the instant when x=3 and y= 9 is -1.5 sq km/h.

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Answer:

9 = 22.5

0=0

11=27.5

Answer: 45

Step-by-step explanation

31+14=45

Start from the back

4+1=5

3+1=4

Then put them together

45.

Answer:

45

Step-by-step explanation:

31 increased by 14

= 31 + 14 = 45

Hope this helps

plz mark as brainliest!!!!!!!!!!

                                    3     1

                               +    1     4  

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

                                    4     5

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

Answer:

P(I OR M) = 3/8  or 0.375

Step-by-step explanation:

Probability of getting an M is 1/8

Probability of getting an I is 2/8

P(I OR M) = P(I) + P(M) – P(I AND M)

P(I OR M) = (2/8) + (1/8) - 0

P(I OR M) = 3/8  or 0.375

NOTE:  P(I AND M) = 0 because they are mutually exclusive

Answer:

The difference between the two throws is 6/7 yards

Step-by-step explanation:

Beatrice throw=1 7/14 yards

Tilly throw=9/14 yards

Difference between the two throws=Beatrice throw - Tilly throw

=1 7/14 - 9/14

=21/14 - 9/14

= 21-9/14

=12/14

=6/7 yards

The difference between the two throws is 6/7 yards

The p-value is 0.063, which indicates that there is not strong evidence to reject the null hypothesis that the percentage has stayed the same.

The p-value can be calculated by using a one-proportion z-test. The null hypothesis would be that the percentage has stayed the same from last year, and the alternative hypothesis is that the percentage has decreased.

The formula for the z-score is (x-p)/√(p(1-p)/n), where x is the observed proportion (39/260), p is the expected proportion (0.20), and n is the sample size (260). The p-value is then calculated using the z-score and the cumulative distribution function.

Therefore p-value, in this case, is 0.063, which indicates that there is not strong evidence to reject the null hypothesis that the percentage has stayed the same.

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Answer:

  max: 72 at (4, 8)

  min: 8 at (2, 0)

Step-by-step explanation:

The attached graph shows the solution set as a white area. The shaded areas are excluded from the solution set. The dashed boundary lines indicate those lines are not excluded from the set. The vertices of the polygon are (0, 2), (2, 0) and (4, 8).

The line f(x,y) = 0 is shown for reference. The maximum value of f(x,y) will be found at the vertex of the solution set that is farthest from this line. The minimum will be found at the vertex of the solution set that is closest to this line.

The maximum value of f(x, y) is 72 at (x, y) = (4, 8).

The minimum value of f(x, y) is 8 at (x, y) = (2, 0).

Given the formula:

\( \displaystyle \large{V= \frac{1}{3} Ah}\)

We want to isolate A-term. First, 1/3 • Ah can be written as:

\( \displaystyle \large{V= \frac{Ah}{3}}\)

Since we have 3 as the denominator, we multiply the whole equation by 3.

\( \displaystyle \large{V \times 3= \frac{Ah}{3} \times 3} \\ \displaystyle \large{3V= Ah}\)

Then we move h to divide 3V since h is multiplied by A.

\( \displaystyle \large{ \frac{3V}{h} = A}\)

Therefore, A = 3V/h

Answer:

107 pages.

Step-by-step explanation:

100 - 47 - 28 = 25% are on Physics.

Number of pages on physics = 0.25 * 428

= 107.

Answer:

There are 107 pages devoted to physics.

Step-by-step explanation:

The number of pages on bio is 0.47(428) = 201 (rounded up from 201.16);

the number of pages for on chem is 0.28(428) = 120 (rounded up from 119.84), and so the total number of pages devoted to bio and chem is

201 + 120, or 321.

Subtracting this subtotal from the book's 428 pages yields 107.

There are 107 pages devoted to physics.