Find the average rate of change of the function f(x) = 2x² + 5x
between the following pairs of x-values.
a. x = 1 and x = 3
b. x = 1 and x = 2
c. x = 1 and x = 1.5
d. x = 1 and x = 1.1
e. x = 1 and x = 1.01
f. What number do your answers seem to be approaching?

Answer:

Intersection

Step-by-step explanation:

The intersection of two set A and B is defined as the elements which can be found in both set A and set B.

For instance :

A = {1, 3, 5, 7, 9, 11}

B = {2, 4, 6, 7, 8, 9, 10}

The intersection of the two sets A and B denoted as ;

AnB = {7, 9}

Answer:

20 mins

Step-by-step explanation:

2003 17 2005 20

Answer:

it is a 1 in 4 chance

Step-by-step explanation:

8 is the out come with more than 9 and 36 is the total number of out comes

To calculate the number of MADs that the means are apart, we need to find the difference between the two means and then divide that by the MAD.

The difference between the means is 20 - 16 = 4.

Dividing that by the MAD of 2.5, we get:

4 / 2.5 = 1.6

Therefore, the means are 1.6 MADs apart.

1. Find the difference between the two mean ages: 20 years (mean age of second sample) - 16 years (mean age of first sample) = 4 years.

2. Divide the difference by the MAD: 4 years (difference between means) / 2.5 (MAD) = 1.6.

So, the means are 1.6 MADs apart.

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Answer:

x < --8

Step-by-step explanation:

i hope this helps im a little rusty on math (:

Answer:

x < - 8

Step-by-step explanation:

\(\frac{3}{4}\) x + 7 < 1 ( subtract 7 from both sides )

\(\frac{3}{4}\) x < - 6 ( multiply both sides by 4 to clear the fraction )

3x < - 24 ( divide both sides by 3 )

x < - 8

Answer:

A. {0, 1, 3, 4}

Step-by-step explanation:

For a relation with elements (x, y)

The domain is the set of the x-values, that are the input values.

Here we have the relation:

{(4, -1), (3, 2), (0, -3), (1, 4)}

Here we can see that the inputs are:

4, 3, 0, and 1.

Then the domain is:

{4, 3, 0, 1}

Now let's write this in the correct order:

{0, 1, 3, 4}

The domain of the relation is: {0, 1, 3, 4}

Then the correct option is A.

The ordered pairs which are on the graph of 7x - y = 2 as required in the task content are; Choices B and C; (-1, -9) and (0, -2).

It follows from the task content that the ordered pairs which are on the graph of 7x - y = 2 be determined.

Hence, by testing each pair as follows; we have;

Ultimately, the required ordered pairs are; (-1, -9) and (0, -2).

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The option is B. Emerson is painting the outside of a cube for a math project. he knows the area of each face is 145 square inches.

the place is the quantity that expresses the quantity of vicinity on the plane or on a curved floor. The area of a plane vicinity or aircraft location refers to the area of a shape or planar lamina, while surface location refers to the region of an open floor or the boundary of a three-dimensional object. the place can be understood as the quantity of material with a given thickness that might be necessary to fashion a model of the shape, or the amount of paint essential to cowl the surface with a single coat. it's by far the 2-dimensional analog of the period of a curve (a one-dimensional concept) or the volume of a stable (a three-dimensional idea).

The region of a form can be measured by using comparing the form to squares of a set size. within the global system of devices (SI), the standard unit of the region is the rectangular meter (written as m²), which is the place of a rectangular whose aspects are one meter long. A shape with an area of 3 square meters might have an equal area to 3 such squares. In mathematics, the unit square is defined to have area one, and the place of some other form or floor is a dimensionless real number.

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Answer:

107%

Step-by-step explanation:

15-100%

16-x%

x%=16*100/15=106.6%~107%

Answer:

2/1

Step-by-step explanation:

guessing that since it goes right 2 times and then goes up 4 times

Answer:

slope is 2

Step-by-step explanation:

if you're asking about the slope then it's 2

rise/run

rise=4

run=2

4/2=2

hope this helps

if it did pls mark brainliest

The Nyquist rate problem involves finding the highest numerical frequency and the Nyquist rate for a given signal.

A. (a) The highest numerical frequency M present in the signal f(t) = sin(t) is 1.

(b) The Nyquist rate N for sampling this signal is 2.

(c) To avoid aliasing, we can choose any sampling period T that satisfies the condition T < 1/M, which in this case would be T < 1/1 or simply T < 1.

(d) No, we do not recover the signal f. The signal f(t) = sin(t) does not have any frequency components above 1, but the sampled signal g, when passed through a low-pass filter with threshold Mo = 4, will retain frequency components up to 2 due to the Nyquist rate. This will introduce additional frequency components that were not present in the original signal, causing a deviation from the original signal f(t).

Explanation:

(a) The signal f(t) = sin(t) has a single frequency component, which is 1. The numerical frequency represents the number of cycles of the signal that occur per unit time.

(b) The Nyquist rate N is defined as twice the highest numerical frequency in the signal. In this case, the highest numerical frequency M is 1, so the Nyquist rate N would be 2.

(c) To avoid aliasing, the sampling period T should be chosen such that it is smaller than the reciprocal of the highest numerical frequency. In this case, the highest numerical frequency is 1, so we need T < 1/1 or simply T < 1. Any sampling period smaller than 1 will avoid aliasing.

(d) When the signal f is sampled with a period T, the resulting sampled signal g will have frequency components up to the Nyquist rate N. In this case, N is 2, so the sampled signal g will contain frequency components up to 2. When we pass g through a low-pass filter with threshold Mo = 4, it will remove any frequency components above 4. Since the original signal f does not have any frequency components above 1, the filtered signal will have additional frequency components (between 1 and 2) that were not present in the original signal. Therefore, we do not recover the signal f exactly.

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Answer:

26

Step-by-step explanation:

Square the sides you know (A and B) Since you are finding side C the hypotenuse go by these steps:

The square root of the sum is the side length of the hypotenuse.

\(10^{2} = 100\\24^{2} = 576\)

100 + 576 = 676

\(\sqrt{676} = 26\)

Answer:

its A

Step-by-step explanation:

A

Answer:50

Step-by-step explanation:i said so

II. Firms may utilize databases other than relational databases.

III. In mapping an E-R diagram to a set of tables in a relational database, only the entities in the E-R diagram are mapped to tables in the database.

II. The statement that firms may utilize databases other than relational databases is true. While relational databases are widely used, there are other types of databases available, such as hierarchical databases, network databases, and object-oriented databases. Each type has its own characteristics and may be suitable for different purposes or specific requirements of an organization.

III. The statement that, in mapping an E-R diagram to a set of tables in a relational database, only the entities in the E-R diagram are mapped to tables in the database is also true. In the entity-relationship (E-R) model, entities represent objects or concepts in the real world, and relationships define the associations between entities. When designing a relational database based on an E-R diagram, the entities are typically mapped to tables, and the relationships are represented through foreign keys and join operations between tables. Other elements, such as attributes and keys, are also considered in the mapping process, but not all of them are necessarily represented as separate tables.

IV. The statement that each attribute of an entity is given a separate table in the mapping of an E-R diagram to a set of tables in a relational database is not true. In a relational database, attributes are typically represented as columns within a table, where each row represents a record or instance of the entity. Attributes are not given separate tables, but rather they contribute to the structure and content of the table associated with the entity.

Therefore, the correct statements are II and III.

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Answer:

Step-by-step explanation:

Pedometer

Answer:

Option (4)

Step-by-step explanation:

Proportional relationship means,

y ∝ x

y = kx

\(k=\frac{y}{x}\)

Here, k = proportionality constant

Therefore, if the graph of a line passes through the origin (0, 0) table will represent the proportional relationship.

From table 1,

For a point (1, 2)

\(k=\frac{2}{1}=2\)

For another point (3, 2)

\(k=\frac{3}{2}=1.5\)

In both the cases 'k' is not same of constant.

Therefore, table (1) is not proportional.

For table (2),

Line passes through (2, 0).

That means there is a x-intercept → (2, 0)

Therefore, table doesn't represent a proportional relationship.

For table (3),

Line passes through a point (0, 1)

It means given line has a y-intercept → y = 1

Therefore, table doesn't represent a proportional relationship.

For table (4),

Line of this table passes through two points (1, 3) and (2, 6)

\(k=\frac{3}{1}=3\)

\(k=\frac{6}{2}=3\)

Therefore, proportionality constant for the given table is 3.

Now we can graph table (4).

Answer:

15. (8x^3 + 27)(x + 1)

17. (x^2 + 3)(x + 2)

Step-by-step explanation:

8x^3(x + 1) + 27(x + 1)

x^2(x + 2) + 3(x + 2)

Answer:

Explanation:

Given the function, g(x) below:

We evaluate g(x) for x=1,2 and 3:

We see that whenever x increases by 1, the value of g(x) triples.

The alternative hypothesis states that the difference is greater than zero.

What Are Tails in a Hypothesis Test?

First, we need to cover some background material to understand the tails in a test. Typically, hypothesis tests take all of the sample data and convert it to a single value, which is known as a test statistic. You’re probably already familiar with some test statistics.

For example, t-tests calculate t-values. F-tests, such as ANOVA, generate F-values. The chi-square test of independence and some distribution tests produce chi-square values. All of these values are test statistics.

Keep in mind that this t-distribution assumes that the null hypothesis is correct for the population. Consequently, the peak (most likely value) of the distribution occurs at t=0, which represents the null hypothesis in a t-test. Typically, the null hypothesis states that there is no effect. As t-values move further away from zero, it represents larger effect sizes. When the null hypothesis is true for the population, obtaining samples that exhibit a large apparent effect becomes less likely, which is why the probabilities taper off for t-values further from zero.

Hence the answer is the alternative hypothesis states that the difference is greater than zero.

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Answer:

Step-by-step explanation:

145 = x+90

x=55

The bearing of B from A is -144°.

Bearing is defined as the direction or angle, measured in degrees, between the north or south point of reference and the line connecting the target object with the point of reference.

Given that the bearing of A from B is 036⁰.We need to find the bearing of B from A.

Bearing is defined as the direction or angle, measured in degrees, between the north or south point of reference and the line connecting the target object with the point of reference. In order to calculate the bearing of B from A, we need to add 180° to the bearing of A from B, and then subtract 360° from that value if it is greater than 360°.

This can be expressed in the following steps:

Since the bearing of A from B is 036⁰, the bearing of B from A is

036° + 180° = 216°

Since the bearing of B from A is greater than 360°, we need to subtract 360° from it.

216° - 360° = -144°

Therefore, the bearing of B from A is -144°. (Sometimes bearings may be expressed as a negative angle).

The final answer is: The bearing of B from A is -144°.

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Answer:

a. 125 * 0.04 * 625 = 5 * 625 = 3125

b. a^2 * x^3

c. x^10 * x^ y^15

Last one: x^9 * y^4

Step-by-step explanation:

Because yes.

The triangle is an Corollary 1 to the isosceles triangle theorem.

Given that,

In the picture we have a triangle,

We have to find which triangle is it.

From the triangle,

The 2 sides are equal and the 2 angles are also equal.

So, The triangle is an Corollary 1 to the isosceles triangle theorem.

According to the isosceles triangle theorem, if two triangle sides are congruent, then the angles across from those sides are likewise congruent.

An isosceles triangle is one with two sides that are the same size and a third side that is a different size.

Therefore, The triangle is an Corollary 1 to the isosceles triangle theorem.

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A) In this scenario, it is impossible to determine who the murderer was.

B) In this scenario, it is possible to determine who the murderer was.

Smith's statement suggests that Jones is the killer, while Williams's statement suggests that either Smith or Jones is the killer. However, since the guilty man's statement may or may not be true, it is impossible to ascertain which of the three men is the guilty party.

Since the two innocent men are telling the truth, Smith's statement implies that Jones is the killer, and Williams's statement implies that either Smith or Jones is the killer.

Therefore, either Smith or Jones is the murderer. To comment on someone else's topic, the guilty party must be the one who had a motive. It is impossible to know the motive without more information, so the answer must be based on the statements from Smith, Jones, and Williams. In conclusion, based on the statements given, either Smith or Jones is the murderer.

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The percentage that each expense has out of the total budgeted amount of $45,000  have been computed, where insurance has 8.00%, Utilities 7.00% and so on.

What is a percentage?

In this case, percentage refers to proportion of each expense from the total budgeted expense of $45,000, which means that in order to total budgeted expense of $45,000, which means that in order to compute the percentage of total budgeted for each expense category, we divide the expense by the total budgeted expense

Insurance=$3600/$45,000=8.00%

Utilities=$3150/$45,000=7.00%

Clothing=$2700/$45000=6.00%

Transportation=$1350/$45000=3.00%

Entertainment=$5400/$45000=12.00%

Savings=$4050/$45000=9.00%

Taxes=$7200/$45000=16.00%

Food=$7650/$45000=17.00%

Housing=$9900/$45000=22.00%

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Answer:

im pretty sure b

Step-by-step explanation:

because i took a test

The surface area of the given sphere is approximately 2124 units². The correct answer is option A.

The surface area of a sphere is given by the formula:

SA = 4πr²

Here r is the radius of the sphere and π is a constant approximately equal to 3.14.

As per the question, the radius of a sphere is 13 units.

Substituting the given value of r = 13 units, we get:

surface area of a sphere = 4π(13)²

surface area of a sphere = 4π(169)

surface area of a sphere = 676π  units²

Therefore, the given surface area of a sphere is 676π units².

Hence, the correct answer is option A.

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Answer:

80°

Step-by-step explanation:

both triangles are scalene triangle and the have equal properties

angles in triangles sum up to 180°

30°+70° +D=180°

D=180-100=80°