Find (f•g)(x).
f(x) = x^2 + 4x
g(x) = 6x
Write your answer as a polynomial in simplest form.

The contrapositive statement of "If it does not have four legs, then it is a fish." is  "If it is not a fish, then it has four legs" .Option C

A contrapositive statement is simply defined as a law or rule obtained by contradicting the conclusion and hypothesis of a statement.

It includes the exchange of both the hypothesis and conclusion of a particular conditional statement before negating both the hypothesis and conclusion.

It is also known for the combination of a converse and an inverse statement.

The hypothesis and conclusion are switched or interchanged

A contrapositive statement is represented as;

x y is equivalent to y ~x

Given the statement:

"If it does not have four legs, then it is a fish."

The contrapositive statement would be;

If it is not a fish, then it has four legs.

We can see that the hypothesis and conclusion were interchanged accordingly.

Hence, the statement is "If it is not a fish, then it has four legs"

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Answer: C: If it is not a fish, then it has four legs.

Step-by-step explanation: Hope that helped!

Answer:

She saved 25% or 1/4

Step-by-step explanation:

Please give me brain

The reaction at Roller A is 1800 N and the reaction at Pin B is 2450 N. To calculate the reaction at Pin B, you need to multiply the length of the pin (3 m) by the load (450 N) and add the additional load (600 N).

Reaction at Roller A:

2 m * 900 N = 1800 N

Reaction at Pin B:

3 m * 450 N + 600 N = 2450 N

To calculate the reaction at Roller A, you need to multiply the length of the roller (2 m) by the load (900 N). This gives you 1800 N.

To calculate the reaction at Pin B, you need to multiply the length of the pin (3 m) by the load (450 N) and add the additional load (600 N). This gives you 2450 N.

The reaction at Roller A is 1800 N and the reaction at Pin B is 2450 N.

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Answer:

with?

Step-by-step explanation:

Answer: 14

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

2 significant figures means we keep the first 2 and round the 1 place

42.598 we round to 43 since next to the 2 is a 5 so we round up

And 43 are 2 significant figures since none of them are zero

Hopes this helps please mark brainliest

Answer:

904

Step-by-step explanation:

According to PEMDAS, we must multiply 100 and 9 first, which gets us 900. Then divide 12 by 2, which gets us six. 900 - 2 + 6 = 898 + 6 = 904.

Answer:

904

Step-by-step explanation:

100 * 9 = 900 -2 =898 +12/2 →898+6= 904

12/2 = 6

Have a good day and stay safe!

The image of the regular polygon is attached, this is made up of a square with dimension of 1 unit

A polygon with congruent sides and equal angles is referred to as a regular polygon.

Equilateral triangles, squares, regular pentagons, and more are examples of regular polygons.

The regular polygon created form the irregular polygon given is square, there are two squares labelled 1 and 2

The measurement is aided by the grid lines, each side o the square is 1 unit.

Both squares made form the irregular polygon are of same size

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To find the eigenvalues and eigenvectors of matrix A:

(a) To find the eigenvalues, we need to solve the characteristic equation det(A - λI) = 0, where A is the given matrix, λ is the eigenvalue, and I is the identity matrix.

A = (-2 2) (0 2)

Let's subtract λI from A and calculate the determinant:
A - λI = (-2 - λ 2) (0 2 - λ)
det(A - λI) = (-2 - λ)(2 - λ) - (0)(2) = (λ + 2)(λ - 2)

Setting the determinant equal to zero, we can solve for the eigenvalues:
(λ + 2)(λ - 2) = 0

Expanding the equation, we get:
λ^2 - 4 = 0

Solving for λ, we have two eigenvalues:
λ₁ = 2 λ₂ = -2

The eigenvalues in increasing order are -2 and 2.

(b) To find an eigenvector corresponding to the least eigenvalue, we substitute the eigenvalue λ = -2 into the equation (A - λI)v = 0, where v is the eigenvector.

Substituting λ = -2 and solving the equation, we get:
(A - (-2)I)v = 0 (A + 2I)v = 0

Substituting the matrix A and λ = -2:
((-2 2) + 2(1 0))v = 0 (0 2)v = 0

Simplifying the equation, we have:
0v₁ + 2v₂ = 0

This equation indicates that the eigenvector v = (v₁, v₂) must satisfy

2v₂ = 0.

We can choose v₂ = 1 as a free variable and solve for v₁:
2(1) = 0

Since the equation is not satisfied, there is no eigenvector corresponding to the least eigenvalue of -2.

Therefore, there is no eigenvector to enter for the least eigenvalue of -2.


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Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.

Volume is a measure of the amount of space that a three-dimensional object occupies or contains. It is typically measured in cubic units, such as cubic meters, cubic centimeters, or cubic feet.

In the given question,

The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is the radius of the base, h is the height, and π is approximately 3.14.

Substituting the given values, we get:

V = (1/3) × 3.14 × 3² × 3.8

V ≈ 35.63

Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.

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Answer:

62.8, 63% if you around it off.

Step-by-step explanation: Do 49 Divided by 78, then times it by 100 to get your percentage. I just rounded it off to the nearest tenth and whole number just in case. Hope this helped!

Answer:

B. (-2.5, -4)

Step-by-step explanation

x = 1/2(x^1 + x ^2)

x = 1/2(-4 + -1)

x = 1/2(-5)

x = -2.5

y = 1/2(y^1 + y^2)

y = 1/2(-2 + -6)

y = 1/2(-8)

y = -4

(-2.5, -4)

The number 459 in the citation 319 N.W. 2d 459 represents the page number where the case or legal opinion can be found in the North Western Reporter, Second Series. The North Western Reporter is a series of case reporters that includes court decisions from various states in the northwestern region of the United States.

In legal citations, the number before the "N.W." indicates the volume number of the reporter. So in this case, "319" refers to the specific volume where the case is located. The abbreviation "N.W." stands for North Western Reporter, which is the name of the reporter series. The number "2d" after "N.W." indicates that this is the second series of the North Western Reporter.

To locate the case within the volume, the number "459" refers to the page number where the case begins. This allows readers, such as lawyers, judges, or researchers, to easily find and reference the specific case within the reporter.

In summary, the number "459" in the citation 319 N.W. 2d 459 represents the page number where the case can be found in the North Western Reporter, Second Series.

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Answer:

-4

Step-by-step explanation:

Since this has an equals sign and in both sides it can be divisible. So you take 5 and divide it on both sides to get -4

9514 1404 393

Answer:

  1) 5.25

  2) 95.74°

Step-by-step explanation:

1) The angle bisector divides the triangle into proportional segments.

  DC/BD = CA/BA

We know that BD+DC = 9, so we can fill in the above equation with known values to get ...

  DC/(9-DC) = 7/5

  5·DC = 7(9 -DC) . . . . cross multiply

  12·DC = 63 . . . . . add 7·DC

  DC = 63/12 = 5.25

__

2) Angle BAC can be found using the Law of Cosines.

  a² = b² +c² -2bc·cos(A)

  cos(A) = (b² +c² -a²)/(2bc) = (7² +5² -9²)/(2·7·5) = -7/(70) = -1/10

  A = arccos(-1/10) ≈ 95.739°

The measure of ∠BAC is about 95.74°.

_____

Additional comment

The circumcircle is irrelevant to the questions asked here.

Answer:

C. Ari and Matthew collide at 4.8 seconds.

Explanation:

Ari and Matthew will collide when they have the same x and y position. Since Ari's path is given by

x(t) = 36 + (1/6)t

y(t) = 24 + (1/8)t

And Matthew's path is given by

x(t) = 32 + (1/4)t

y(t) = 18 + (1/4)t

We need to make x(t) equal for both, so we need to solve the following equation

Ari's x(t) = Matthew's x(t)

36 + (1/6)t = 32 + (1/4)t

Solving for t, we get

36 + (1/6)t - (1/6)t = 32 + (1/4)t - (1/6)t

36 = 32 + (1/12)t

36 - 32 = 32 + (1/12)t - 32

4 = (1/12)t

12(4) = 12(1/12)t

48 = t

It means that after 48 tenths of seconds, Ari and Mattew have the same x-position. To know if they have the same y-position, we need to replace t = 48 on both equations for y(t)

Ari's y position

y(t) = 24 + (1/8)t

y(t) = 24 + (1/8)(48)

y(t) = 24 + 6

y(t) = 30

Matthew's y position

y(t) = 18 + (1/4)t

y(t) = 18 + (1/4)(48)

y(t) = 18 + 12

y(t) = 30

Therefore, at 48 tenths of a second, Ari and Mattew have the same x and y position. So, the answer is

C. Ari and Matthew collide at 4.8 seconds.

Answer: C "Ari and Matthew collide at 4.8 seconds."

Step-by-step explanation: I took the test.

Answer:

17 wraps

Step-by-step explanation:

Given data

let the  number of vegetarian wraps be x

and chicken wraps be y

so

x+1.5y= 149------------1

and

x+y= 105----------------2

the systems of equation for the problem is

x+1.5y= 149

x+y= 105

from 2

x= 105-y

put this in 1

105-y+1.5y= 149

105-0.5y= 149

-0.5y= 149-105

-0.5y=44

y= 44/0.5

y= 88

put y = 88 in 2

x+88= 105

x= 105-88

x= 17

Answer:

1

Step-by-step explanation:

so u group like term

5x=27-22 ( because u are moving a positive number to the other side of the = sign

5x=5 ( u divide the numbers with the number with the varible or alphabet)

so x = 1

Answer:

15% chance of rain o. one day

What are the next four multiples of 1/7​ ?

so, it will be :

Answer:

y = 2x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2 and c = 3 , thus

y = 2x + 3 ← equation of line

I) and II) are true because the limit of the function at x=2 is 5, which implies that f is continuous and differentiable at x=2. III) is false because the derivative of f does not need to be continuous at x=2.

Let f be a function such that lim h→0 (f(2+h) - f(2)) / h = 5.

We can calculate this limit as follows:

lim h→0 (f(2+h) - f(2)) / h = lim h→0 (f(2+h) / h) - (f(2) / h)

= lim h→0 f(2+h) / h - lim h→0 f(2) / h

= lim h→0 f(2+h) / h - 0

= lim h→0 f(2+h) / h

= 5

Therefore, I) and II) are true because the limit of the function at x=2 is 5, which implies that f is continuous and differentiable at x=2. III) is false because the derivative of f does not need to be continuous at x=2.

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The ratio of dogs to all animals is 7:16.

The total ratio of cats and dogs is 9 + 7 = 16.

The number of dogs present in the shelter is 7k, where k is a positive integer.

The number of cats present in the shelter is 9k, where k is a positive integer.

The total number of animals present in the shelter is 7k + 9k = 16k.

Therefore, the ratio of dogs to all animals is 7k : 16k, which simplifies to 7 : 16.

An animal shelter with only dogs and cats has a ratio of cats to dogs that is 9:7.

The ratio of dogs to all animals is 7:16.

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The FDA regulates that a fish consumed should contain at most 1 mg/kg of mercury. In Florida, bass fish from 52 different lakes were collected to determine if the mercury levels in the fish exceed the allowable amount.

To assess if there's enough evidence to show that fish in all Florida lakes have a higher mercury level than permitted, we will conduct a hypothesis test using the data collected.
The random variable (X) represents the average mercury level of bass fish in a sampled lake. The population parameter (μ) stands for the true mean mercury level of bass fish in all Florida lakes.
The null hypothesis (H₀) states that the average mercury level in the fish does not exceed the FDA's allowable amount, which means μ ≤ 1 mg/kg. The alternative hypothesis (H₁) claims that the average mercury level in the fish is higher than the FDA's allowable amount, which means μ > 1 mg/kg.
To determine if there is enough evidence to support H₁, we will perform a hypothesis test using the appropriate statistical test and significance level, while considering the sample size and mercury levels collected from the 52 lakes. If the test results lead to the rejection of H₀, we can conclude that there is evidence suggesting the fish in all Florida lakes have a mercury level higher than the allowable amount.

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Answer:

\(y = \frac{1}{8}(x + 4)^2 + 4\)

Step-by-step explanation:

Given:

Focus of parabola: (-4, 6)

Directrix: y = 2

Required:

Equation for the parabola

Using the formula, \( y = \frac{1}{2(b - k)}(x - a)^2 + \frac{1}{2}(b + k) \) , the equation for the parabola can be derived.

Where,

a = -4

b = 6

k = 2

Plug these values into the equation formula

\( y = \frac{1}{2(6 - 2)}(x - (-4))^2 + \frac{1}{2}(6 + 2) \)

\(y = \frac{1}{2(4)}(x + 4)^2 + \frac{1}{2}(8)\)

\(y = \frac{1}{8}(x + 4)^2 + \frac{8}{2}\)

\(y = \frac{1}{8}(x + 4)^2 + 4\)

Answer:

<5 and <7= 56 degrees

Step-by-step explanation:

for <5: 180-124=56

<7 is equal to <5

Brainliest Plz?

Answer:

1/15 is simplest, answer 2/30

Step-by-step explanation:

11/30 - 3/10. Find LCD

Since it's 30, leave 11/30 how it is and turn 3/10 into 9/30

Next, 11-9=2

meaning 2/30, which if you divide by 2 both sides, you get 1/15.

The statement that best shows active listening is "The listener focuses on the speaker, remains undistracted, and may ask clarifying questions.". So, correct option is A.

Active listening is an important communication skill that involves paying full attention to what the speaker is saying, both verbally and non-verbally. Active listening requires the listener to be fully engaged in the conversation, understand the speaker's perspective, and respond appropriately.

Option A) best shows active listening because it includes key aspects of this skill. Focusing on the speaker and remaining undistracted shows that the listener is fully engaged in the conversation, while asking clarifying questions demonstrates an effort to understand the speaker's message.

On the other hand, Option B) is not an example of active listening as it suggests the listener is not fully engaged in the conversation. Option C) may be helpful for taking notes, but does not necessarily demonstrate active listening, as the listener may miss non-verbal cues or tone of voice.

Option D) can be seen as interrupting the speaker and not allowing them to fully express their thoughts, which can hinder effective communication.

So, correct option is A.

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