3a + b2 – 263 for a = -3 and b = 4

Answer:

124

Step-by-step explanation:

The ordered pair lie on the inverse of the function is (62,−3).

Option A is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -(x - 1)³ - 2

The inverse of f(x).

y = -(x - 1)³ - 2

interchange x and y and solve for y.

x = -(y - 1)3 - 2

(y - 1)³ = -2 - x

(y - 1)³ = -(2 + x)

Cuberoot on both sides.

y - 1 = ∛-(2 + x)

y = ∛-(2 + x) + 1

Now,

Substitute in the inverse of g(x).

(62, -3) = (x, y)

(−4, 123) = (x, y)

(3, 1) = (x, y)

(3,−6) = (x, y)

So,

y = ∛-(2 + x) + 1

y = ∛-(2 + 62) + 1

∛-1 = -1

y = -1∛64 + 1

y = -1 x 4 + 1

y = -4 + 1

y = -3

So,

(62, -3) ______(1)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 - 4) + 1

∛-1 = -1

y = ∛(-2 + 4) + 1

y = ∛2 + 1

y =  1.26 + 1

y = 2.26

So,

(-4, 2.26) _______(2)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 + 3) + 1

∛-1 = -1

y = -1∛5 + 1

y = -1 x 1.71 + 1

y = -1.71 + 1

y = -0.71

So,

(3, -0.71) _______(3)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 + 3) + 1

∛-1 = -1

y = -1∛5 + 1

y = -1 x 1.71 + 1

y = -1.71 + 1

y = -0.71

So,

(3, -0.71) ______(4)

Thus,

From (1), (2), (3), (4) we see that,

(62, -3) is the solution to the inverse of g(x).

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Answer: subtract , largest

Step-by-step explanation:

you keep the largest number, because it is the largest number there

Answer:

   mm

Step-by-step explanation:

Answer:

∠ C ≈ 73.7°

Step-by-step explanation:

using the sine ratio in the right triangle

sin C = \(\frac{opposite}{hypotenuse}\) = \(\frac{AT}{CT}\) = \(\frac{48}{50}\) , then

∠ C = \(sin^{-1}\) ( \(\frac{48}{50}\) ) ≈ 73.7° ( to the nearest tenth )

Answer:

Yo Rick Astley

Step-by-step explanation:

y ∝ 1 √ x

y = k (1 √ x)

y = 7 when x = 36

7 = k ( 1 / √36)

7 = k (1/6)

k= 7 × 6

k = 42

If x = 4 then,

y = 42 ( 1/√4)

y = 42 ( 1/2)

y= 21

Answer:

yes this quote isabsolutely right as

life is very innocent , we can make our life whatever we like

Answer:

105

Step-by-step explanation:

sorry if wrong

18000/x defines the gallons of the gas consumed by the old car in one year.

Step-by-step explanation:

If I purchase a car, I will definitely concentrate on a factor that is gas consumed by the car in a year.

As per statement given in the question if gas is $3.45 per gallon and I drive an average of 18000 miles per year.

If x miles per gallons is the average of the old car and y miles per gallons is the average of of new car.

Then total difference in gallons of the gas consumed by the old and new cars will be represented by the equation.

g(x) = 3.45 - 3.45

Here, 18000/x defines total number of gallons of the gas consumed by the old car in one year.

Scores range from 80 to 99, with scores exceeding 99 and scores falling below 60 points.

In the given range of scores, which spans from 80 to 99, it encompasses a range of values that are considered satisfactory and relatively high. These scores reflect a level of achievement or performance within a specific context, such as academic grading or test results. Additionally, it is important to note that there are scores that exceed 99, indicating exceptional performance or outstanding results. On the other hand, there are also scores below 60, which indicate lower levels of achievement or performance. These scores may require further attention or improvement in order to reach a more desirable outcome. The varying range of scores allows for a comprehensive evaluation of individuals or entities based on their performance, highlighting both strengths and areas that may need improvement.

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Answer:

The correct pair matching each type of letter to its correct description would be as follows:

send it to favorably influence employers’ decision on hiring you - thank you letter

state how you meet the job requirements - cover letter

send 3-5 days after submitting your application or résumé - follow-up letter

express your desire to work for a particular company - letter of interest

A 'thank you' letter is a letter written to admit gratefulness for a favor that has been done.  It can also be written in anticipation of a favor to be done. Hence, writing it to a potential employer after an interview is a way of trying to influence the employer's decision on hiring you.

A cover letter, as it relates to job application, is a letter written to express how one meets the requirement for a job. In it, a job seeker would state their qualifications, skills, and experience as it relates to the job they are applying for.

A follow-up letter is usually written to follow up with a situation that one expects that a response should have been given or written just to further emphasize one's interest in something. Writing a follow-up letter after submitting an application for  a job is a way of reminding potential employers of one's desire to take up a job in their firm.

A letter of interest is written to show a desire to work in a particular organization or company irrespective of whether they have got a vacancy.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

600 m³

Step-by-step explanation:

Attached Below

If it helps, mark as brainliest. : )

The decimal value of the 2 in the hexadecimal number F42AC16 is 131,072.

To determine the decimal value of the 2 in the hexadecimal number F42AC16, we need to understand the positional value system of hexadecimal numbers. In hexadecimal, each digit represents a power of 16. The rightmost digit has a positional value of 16^0, the next digit to the left has a positional value of 16^1, the next digit has a positional value of 16^2, and so on.

In the given hexadecimal number F42AC16, the 2 is the fifth digit from the right. Its positional value is 16^4. Calculating the decimal value: 2 * 16^4 = 2 * 65536 = 131,072. Therefore, the decimal value of the 2 in the hexadecimal number F42AC16 is 131,072.  None of the provided options (a) 409610, b) 51210, c) 25610, d) 210) matches the correct decimal value of 131,072.

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The probability that there is one such group of interest among 10 groups is 0.7056, which is closest to option D (0.3819). The answer is 0.3819.

There are 12 months in a year, so the probability that a student is born in a specific month is 1/12. Also, since birth months are uniformly distributed, the probability that a student is born in any particular month is equal to the probability of being born in any other month. Thus, the probability that a group of 5 students is born in 5 different months can be calculated as follows:P(5 students born in 5 different months) = (12/12) x (11/12) x (10/12) x (9/12) x (8/12) = 0.2315.

This is the probability of one specific group of 5 students being born in 5 different months. Now, we need to find the probability that there is at least one such group of interest among the 10 groups. We can do this using the complement rule:Probability of no group of interest = (1 - 0.2315)^10 = 0.2944Probability of at least one group of interest = 1 - 0.2944 = 0.7056.

Therefore, the probability that there is one such group of interest among 10 groups is 0.7056, which is closest to option D (0.3819). The answer is 0.3819.

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Answer:

x = 9

Step-by-step explanation:

Take the angle of LOJ (3x) and JOK (2x+12).

LOJ + JOK = LOK.

LOK = 57.

So, 3x + 2x + 12 = 57

3x + 2x = 5x

5x + 12 = 57

57 - 12 = 45

5x = 45

x= 9

3x+2-x+2=x+8

3x-x=2x

2+2=4

4x+4=x+8

    -4     -4

4x=x+4

-x   -x

3x=4

/3   /3

x=4/3 or 1 1/3 or 1.3333

---

hope it helps

Answer:

x = 4

Step-by-step explanation:

3x+2−x+2=x+8  

Add the numbers

3 + 2 − + 2 = + 8 3 + 4 − = + 8 2

Combine like terms

3 + 4 − = + 8 2 + 4 = + 8 3

Subtract   4  from both sides of the equation  

Simplify

Subtract the numbers  

2x+4−4=x+8−4

2 = + 8 − 4  

Subtract the numbers

2 = + 4 5

Subtract  x from both sides of the equation

2 = + 4 2 − = + 4 − 6

Simplify

Combine like terms

Multiply by 1

Combine like terms

= 4

Solution

= 4

Answer:

98 was the change in elevation

Step-by-step explanation:

According to the question we have the solution of the  given differential equation initial value problem is: g(x) = (3/4)x^4 - x + 9/4 .

To solve the given initial value problem, we need to integrate both sides of the differential equation. We have:

g'(x) = 3x(x^2 - 1/3)

Integrating both sides with respect to x, we get:

g(x) = ∫[3x(x^2 - 1/3)] dx

g(x) = ∫[3x^3 - 1] dx

g(x) = (3/4)x^4 - x + C

where C is the constant of integration.

To find the value of C, we use the initial condition g(1) = 2. Substituting x = 1 and g(x) = 2 in the above equation, we get:

2 = (3/4)1^4 - 1 + C

2 = 3/4 - 1 + C

C = 9/4

Therefore, the solution of the given initial value problem is:

g(x) = (3/4)x^4 - x + 9/4

In more than 100 words, we can say that the given initial value problem is a first-order differential equation, which can be solved by integrating both sides of the equation. The resulting function is a family of solutions that contain a constant of integration. To find the specific solution that satisfies the initial condition, we use the given value of g(1) = 2 to determine the constant of integration. The resulting solution is unique and satisfies the given differential equation as well as the initial condition.

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Answer:

3600

Step-by-step explanation:

1) Isosceles \(\triangle ABC\) with \(\overline{AC} \cong \overline{BC}\), \(\overline{DE} \perp \overline{AC}\), \(\overline{DF} \perp \overline{BC}\), \(\overline{DE} \cong \overline{DF}\) (given)

2) \(\angle CAB \cong \angle CBA\) (angles opposite congruent sides in a triangle are congruent)

3) \(\angle AED\) and \(\angle DFB\) are right angles (perpendicular lines form right angles)

4) \(\angle AED \cong \angle DFB\) (all right angles are congruent)

5) \(\triangle DEA \cong \triangle DFB\) (AAS)

6) \(D\) is the midpoint of \(\overline{AB}\) (if a point splits a segment into two congruent parts, it is a midpoint)

Answer:

I dont get the question :(

Cory recorded four temperature readings during his science experiment, which are -4.06°C, -4.15°C, -3.9°C, and -4.2°C.

To determine the correct order of these temperature readings from least to greatest, we need to compare them and arrange them in ascending order.

Starting with the smallest value, we can see that -4.2°C is the lowest temperature reading among all the given values. Moving on, we can see that -4.15°C is the second-smallest value, followed by -4.06°C, and -3.9°C is the greatest value among all the given temperature readings.

Therefore, the correct order of Cory's temperature readings from least to greatest is -4.2°C, -4.15°C, -4.06°C, and -3.9°C, which is represented by the option 3, 2, 4, 1.

It is important to understand the concept of comparing values to determine their order, as it is useful in various areas of mathematics and science. Being able to organize values in ascending or descending order helps in analyzing data, making comparisons, and drawing conclusions.

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In cylindrical coordinates, the vector dot del operator (also known as the dot product of the gradient operator).

Here, A_r, A_θ, and A_z are the radial, azimuthal, and axial components of the vector field A, respectively. The operator ∇ is the gradient operator, which in cylindrical coordinates.

The dot product of these two operators gives the divergence of the vector field A. This formula can be used to calculate the divergence of a vector field in cylindrical coordinates.
Hi! A vector dot del in cylindrical coordinates, also known as the scalar product of the gradient operator and a vector field, represents the directional derivative of a scalar function along a vector field. In cylindrical coordinates.
The vector field in cylindrical coordinates, and ∇ • A denotes the vector dot del operation.

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The main answer for the first argument is that we cannot prove that the band could play rock music based on the given premises and rules of inference.

1. Let's assign the following propositions:

  - P: The band could play rock music.

  - Q: The refreshments were delivered on time.

  - R: The New Year's party was canceled.

  - S: Alicia was angry.

  - T: Refunds were made.

2. The given premises can be expressed as:

  (¬P ∨ ¬Q) → (R ∧ S)

  R → T

3. To prove that the band could play rock music (P), we need to derive it using valid rules of inference.

4. Using the premises, we can apply the rule of modus tollens to the second premise:

  R → T        (Premise)

  Therefore, ¬R.

5. Next, we can use disjunctive syllogism on the first premise:

  (¬P ∨ ¬Q) → (R ∧ S)     (Premise)

  ¬R                    (From step 4)

  Therefore, ¬(¬P ∨ ¬Q).

6. Applying De Morgan's law to step 5, we get:

  ¬(¬P ∨ ¬Q)  ≡  (P ∧ Q)

7. Therefore, we can conclude that the band could play rock music (P) based on the premises and rules of inference.

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The correct answer is 0.00544 m^3.

To calculate the volume of a cylindrical steel bar, we need to use the formula:

Volume = π * (radius^2) * height

Given that the diameter of the round steel bar is 76 mm, we can calculate the radius by dividing the diameter by 2:

Radius = diameter / 2 = 76 mm / 2 = 38 mm = 0.038 m

The length of the steel bar is given as 1.2 m.

Now we can substitute these values into the formula:

Volume = π * (0.038^2) * 1.2

Volume = 3.14159 * (0.038^2) * 1.2

Volume ≈ 0.005439632 m^3

Rounded to four decimal places, the volume of the 1.2 m long steel bar is approximately 0.0054 m^3.

Therefore, the correct answer is 0.00544 m^3.

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Answer:

I don’t know

Step-by-step explanation:

The graph is forming a function but it is not an one-one function.

If the vertical line test is satisfied, then the graph represents a function and a vertical line will cross it at most once.

If a horizontal line crosses the graph in no more than one spot, the function is one-to-one and passes the horizontal line test.

The graph in this case is made up of several horizontal, non-overlapping lines. It is a function and passes the vertical line test, however a horizontal line can cross the graph at any number of locations (is not one-to-one).

However, the graph is not a one-to-one function.

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Answer: 10/12 0r 5/6

Step-by-step explanation:

Answer:

the top are right im not sure about bottom