Let f(x) equals 1/2 X -3. Suppose you subtract six from the input of f to create a new function G, and then multiply the input of the function G by four than three a function each. What will the equation represent H

The value is 1.2941 + j 4.8256   - (.776)

Trigonometry is a branch of mathematics concerned with specific angle functions and their application to calculations. In trigonometry, there are six functions of an angle that are commonly used. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their names and abbreviations.

Trigonometry is used to set directions such as north, south, east, and west, and it tells you which direction to take with the compass to get on a straight path. It is used in navigation to locate a location. It is also used to calculate the distance between the shore and a point in the sea.

Given ,

v(t) = 5cos (wt + 75° )  −3cos(ωt−75∘)+4sin(ωt)

5 <75° - 3 < - 75° + 4 < - 30°

= (1.2941 + j 4.8256  ) - (.776)

Therefore the value is (1.2941 + j 4.8256  ) - (.776)

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The example that is not an example of instrumental (operant) conditioning is option a.

When Raluca's teacher praises her in class for her fine oral description of a mathematical problem, and Raluca becomes embarrassed and vows never to act so smart in front of her friends again.

Instrumental conditioning, also known as operant conditioning, involves the association between a behavior and its consequences, which in turn influences the likelihood of that behavior recurring in the future. In instrumental conditioning, behaviors are strengthened or weakened based on the consequences they produce.

Option b, c, and d all demonstrate instrumental conditioning. In option b, Diallo changes the time of day he does his homework and finds that he is doing better, so he continues to do his homework at that new time. This shows that the behavior of doing homework at the new time is reinforced by the positive consequence of doing better.

In option c, Danny tells a funny joke, and his classmates' laughter serves as a positive consequence that reinforces his behavior of telling jokes. This leads to an increase in the behavior of telling jokes, and Danny becomes the class clown.

In option d, Michelle discovers that she can leave her mathematics class early by complaining about a stomachache. By receiving the positive consequence of leaving early, her behavior of complaining about a stomachache is reinforced, leading to an increase in the occurrence of this behavior.

However, in option a, Raluca's embarrassment and her decision to not act smart in front of her friends again are not consequences that reinforce or strengthen her behavior. Instead, her embarrassment leads to the avoidance of the behavior, suggesting that this example is not an illustration of instrumental conditioning.

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Answer:

y = -23x + 7

Step-by-step explanation

We are using the equation y = mx + b.

The slope (m) is -23, so it would be y = -23 + b.

b is the y-intercept, and the ordered pair that gives us the y-intercept is (0,7).

Remember that the y-intercept is what the y-coordinate is equal to when the x-coordinate is 0.

Answer:

a. is equal.

Step-by-step explanation:

18+18 is 36 and 1+1 is 2. the other questions are not equal.

Hope this helps!

Answer

18/36 = 1/2

13/5 > 7/10

3/5 > 5/9

3/8 < 10/16

Answer:

34

Step-by-step explanation:

We are here given a modulus expression and we need to find out the value when m = -5 and n = 3 .

Modulus :- It always gives positive value . For example ,

\(\rm\implies |-a| = a \)

\(\rm\implies |a| = a \)

The given modulus expression is :-

\(\rm\implies |m^2+ n^2| \)

As the number inside the modulus operator are already squared therefore they will always give positive value for real numbers . Here we can omit the modulus .

\(\rm\implies m^2 + n^2 \)

Plug in the given values ,

\(\rm\implies (-5)^2 + 3^2 \)

Solve 5² and 3² and add them ,

\(\rm\implies 25 + 9 \)

On adding ,

\(\rm\implies 34 \)

Therefore ,

\(\rm\implies \boxed{\blue{\rm |m^2+n^2| = 34 }}\)

Hence the required answer is 34 .

Answer:

red cuz its an odd number so every even number row is blue

Step-by-step explanation:

The color of 35th row in the football stadium is blue color.

A recurring arrangement of numbers, forms, colors, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series.

Given that, workers are installing new seats in the football stadium with the team colors.

Here, the pattern is starting with the first row, every sixth row of seats is red. The other rows are blue.

So, 6th row, 12th row, 18th row and so on....

We understood that, red seat are even rows and remaining are blue seat rows

Here, 35th row is blue in color

Therefore, the color of 35th row in the football stadium is blue color.

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Answer:

Step-by-step explanation:

Let x be the variable.

One fourth times the difference of ten and x is 2/3

1/4 (10 - x) = 2/3

10 - x = 3/2

-x = 3/2 - 10

x = -3/2 + 10

x = 13/2

The answer is:

\(\rm{\dfrac{1}{4}(10-d)=\dfrac{2}{3}}\)

Work/explanation:

First, the variable is d

Then, the difference of 10 and d is 10 - d.

One-fourth is 1/4.

The equation is : \(\rm{\dfrac{1}{4}(10-d)=\dfrac{2}{3}}\).

These are the polynomial equations:

A = x^ (1/4) - ∛x + 4√x - 8x + 16

B = 3x² - 5x⁴ + 2x - 12

C = x³ - 7x² + 9x - 5x⁴ - 20

D = x⁵ - 5x⁴ + 4x³ - 3x² + 2x - 1

These are the non-polynomial equations:

E = 4/x⁴ + 3/x³ - 2/x² - 1

F = x⁻⁵ - 5x⁻⁴ + 4x⁻³ - 3x⁻² + 2x⁻¹ - 1

Polynomials are mathematical expressions that only use addition, subtraction, multiplication, and non-negative exponentiation of the variables, along with coefficients (constants that multiply with the variables), coefficients, and constants.

Some of the elements of an equation are coefficients, variables, operators, constants, terms, expressions, and the equal to sign. An equation must always begin with the "=" sign and have terms on both sides.

Let the polynomial equations be represented by the following letters: A, B, C, D, E, and F.

In the equation, we can solve for other values to obtain:

Moreover, a polynomial equation is not an algebraic equation that has a negative exponent or an exponent that is fractional. Thus, negative exponent expressions are not polynomials.

A = x^ (1/4) - ∛x + 4√x - 8x + 16

This polynomial exists.

B = 3x² - 5x⁴ + 2x - 12

This polynomial exists.

C = x³ - 7x² + 9x - 5x⁴ - 20

This polynomial exists.

D = x⁵ - 5x⁴ + 4x³ - 3x² + 2x - 1

It is a polynomial.

E = 4/x⁴ + 3/x³ - 2/x² - 1

It is not a polynomial.

F = x⁻⁵ - 5x⁻⁴ + 4x⁻³ - 3x⁻² + 2x⁻¹ - 1

A polynomial is not what it is.

The polynomials are thus resolved.

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Answer:

c= 61m

Step-by-step explanation:

using Pythagoras theorem, sin33°=a/c

sin33°=33/c

using tables, sin33°=0.5446

substituting,

0.5446=33/c

cross multiply

0.5446*c=33

divide both sides by 0.5446

c=33/0.5446

c=60.5949321

c=61m (to the nearest whole number)

Answer:

angle 1 = 3x = 27

angle 2 = 5x = 45

angle 3 = 12x = 108

Step-by-step explanation:

12x + 5x + 3x = 180 .........                            (angle sum property)

20x = 180

x = 180/20 = 9

angle 1 = 3x = 27

angle 2 = 5x = 45

angle 3 = 12x = 108

I hope im right!!

The z-score when x=108 is 3.1034. The z-score tells you that x=108 is 3.1034 standard deviations to the left of the mean.

Z-score is used in statistics to compare a score to a normal distribution. The z-score is a measure of how far away from the mean a value is in standard deviation units.

To find the z-score when x = 108, we use the formula:

z = (x - μ) / σ

where x = 108, μ = 153, and σ = 14.5.

Substituting these values, we get:

z = (108 - 153) / 14.5 = -3.1034

So the z-score when x = 108 is -3.1034.

The z-score tells us how many standard deviations away from the mean a particular value is. In this case, since the z-score is negative, we know that x = 108 is to the left of the mean.

The absolute value of the z-score tells us how many standard deviations away from the mean the value is. In this case, the absolute value of the z-score is approximately 3.1034, which means that x = 108 is approximately 3.1034 standard deviations to the left of the mean.

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the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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Answer:

a. 1.2 minutes

b. 0.83 lap

Step-by-step explanation:

a. We take 6 divided by 5 = 1.2 minutes per lap.

b. We take 5 divided by 6 = 0.83 lap in 1 minute

In business calculus, the term "functions" refers to mathematical relationships that associate inputs (typically denoted as x) with corresponding outputs (typically denoted as y). Functions can represent various aspects of business operations, such as revenue, cost, profit, demand, and supply.

The concept of "limits" in calculus deals with the behavior of a function as the input approaches a particular value. It determines the value that the function approaches or tends to as the input gets arbitrarily close to a specified value. Limits are essential for analyzing the behavior of functions near certain points, understanding rates of change, and evaluating derivatives and integrals.

"Continuity" of a function refers to its smooth and unbroken nature, without any abrupt jumps, holes, or vertical asymptotes. A function is continuous if its graph can be drawn without lifting the pen from the paper. Continuity ensures that small changes in the input correspond to small changes in the output, which is crucial for reliable analysis and prediction.

For example, consider the function f(x) = 2x + 1. This linear function represents a business scenario where x represents the number of units sold, and f(x) represents the total revenue generated. The limit of f(x) as x approaches 2 is 5, indicating that as the number of units sold approaches 2, the total revenue approaches $5. Since f(x) = 2x + 1 is a linear function, it is continuous across its entire domain.

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The cosine of angle J is given as follows:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the rules presented as follows:

For the angle J in this problem, we have that:

Hence the cosine of angle J is given as follows:

\(\cos{J} = \frac{4}{\sqrt{98}} \times \frac{\sqrt{98}}{\sqrt{98}}\)

\(\cos{J} = \frac{4\sqrt{98}}{98}\)

\(\cos{J} = \frac{2\sqrt{98}}{49}\)

As 98 = 2 x 49, we have that \(\sqrt{98} = \sqrt{49 \times 2} = 7\sqrt{2}\), hence:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

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Answer:

9 / 13

Step-by-step explanation:

From the question :

Let :

Hostel students = h

Day students = d

Students with A grade = a

P(h) = 60% = 0.6

P(d) = 40% = 0.4

P(hostel with A grade) ; P(A / H) = 0.3

P(day with A grade) ; P(A / D) = 0.2

The probability that a student picked at random withbA grade is an hostel student is given as :

Probability of being an hostel student gun he has A :

P(H | A) = (P(A/H) * P(H)) ÷ P(A/H) * P(H) + P(A/D) * P(D))

P(H | A) = (0.3 * 0.6) ÷ ((0.3*0.6) + (0.2*0.4))

P(H | A) = 0.18 ÷ (0.18 + 0.08)

P(H | A) = 0.18 ÷ 0.26

P(H | A) = 9 / 13

Answer:

Ordinary least squares

Step-by-step explanation:

The ordinary least squares means the estimations that done for parameters in a regression model by lowering the sum of the square residuals. It also predicted the coefficient of the regression equation that generate the actual and the expected values of the dependent variable is known as ordinary least squares

Therefore the above represent the answer

Answer:

I can't see it the picture is not clean or close enough but it's in the bottom left

Answer:

c approximately equals 3.31

Step-by-step explanation:

If the root 1 has multiplicity 4, -2 has multiplicity 3, 3 has multiplicity 3, and -4 is a single root, then the homogeneous solution has the form

\(\left(C_{1,0}+C_{1,1}n+C_{1,2}n^2+C_{1,3}n^3\right) 1^n \\\\ ~~~~~~~~ + \left(C_{-2,0}+C_{-2,1}n+C_{-2,2}n^2\right) (-2)^n \\\\ ~~~~~~~~ + \left(C_{3,0}+C_{3,1}n\right) 3^n + C_{-4,0} (-4)^n\)

where \(C_{r,i}\) just means the arbitrary constant attached to the \(n^i\) term corresponding to the root \(r\) of the characteristic polynomial.

The line AC from the diagrammatic expression of the tangent of the circle shows that line AC is 24.0

A tangent of a circle is a line that intersects the circle at a single point. The site at which the tangent intersects the circle is referred to as the site of tangency.

From the given information:

Line |CD| =  Diameter

Line |EA| = radius = 18

Line |DB| = 12

Then, we can infer that line EA = DE since they are both (radii of the circle.)

Line |DE| = |EA| = 18

By using the formula for Pythagoras' theorem, we can find line |EA|.

hyp² = opp² + adj²

where;

Line |BE| = hypotenuse = DB + BE = 12 + 18 = 30

Line |AB| = opposite (x) = ???

Line |EA| = adjacent = 18

Thus;

30² = x² + 18²

900 = x² + 324

-x²  = -900 + 324

x  = √576

x = 24.0

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Answer: Parallel

Step-by-step explanation:

if two secanys of a circle are made them they cut off congruent arcs

Option D is correct, the total purchase price is $111.65.

percentage, a relative value indicating hundredth parts of any quantity.

Lets find the price of each item

Inflatable shark: $12.99

8 gallons of chlorine at $1.99 each: 8 x $1.99 = $15.92

2 gallons of algaecide at $7.99 each: 2 x $7.99 = $15.98

1 thermometer for $12.99: $12.99

2 sets of fins at $22.99 each: 2 x $22.99 = $45.98

Now add the costs of all the items:

$12.99 + $15.92 + $15.98 + $12.99 + $45.98 = $103.86

we multiply the total cost by the tax rate to find the sales tax.

$103.86 x 0.075 = $7.79

Finally, we add the sales tax to the total cost to get the final purchase price:

$103.86 + $7.79 = $111.65

Therefore, the total purchase price is $111.65.Option D is correct.

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Answer:

$0.3

Step-by-step explanation:

8.90x2=17.8

1.75x2=3.5

17.8+3.5=21.3

21.90-21.3=0.6

0.6/2=0.3

The total amount they paid for dinner that night = $22.2

Dinner bill = $18.50

They paid 5% food tax

Food tax = (5/100) x 18.50

Food tax = $0.925

They left a 15% tip for the waiter

Tip = (15/100) x 18.50

Tip = $2.775

Total amount paid = Dinner bill + Food tax + Tip

Total amount paid = $18.50 + $0.925 + $2.775

Total amount paid = $22.2

The total amount they paid for dinner that night = $22.2

Answer:

\(m=\frac{-7}{2}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (3, 2)

Point (7, -12)

Step 2: Find slope m

Answer:

Folk religions are based in tradition

Folk religions are animistic

The major religions are christianity and islam

Correct statement regarding religion in Africa is that the major religions are Christianity and Islam.

At some point, Africans practiced traditional religions where they worshipped multiple gods and held deep reverence for their ancestors. This changed as Islam and Christianity took over the continent.

Islam was spread around Africa by:

Christianity came later when:

Therefore, We can say in conclusion that due to Muslim and European incursions in Africa, the major religions became Islam and Christianity.

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The solutions to the rational equation x / (x + 4) = 20 / (x² + 3 · x - 4) + 2 / (x - 1) are 7 and - 4, respectively.

In this problem we find a rational equation that must be solved for x by means of algebraic properties. The complete procedure is shown below:

Step 1 - We have the following expression:

x / (x + 4) = 20 / (x² + 3 · x - 4) + 2 / (x - 1)

Step 2 - Factor x² + 3 · x - 4:

x / (x + 4) = 20 / [(x + 4) · (x - 1)] + 2 / (x - 1)                

Step 3 - By existence of multiplicative inverse, modulative, associative and commutative properties:

[x · (x - 1)] / [(x + 4) · (x - 1)] = 20 / [(x + 4) · (x - 1)] + [2 · (x + 4)] / [(x + 4) · (x - 1)]

Step 4 - By compatibility with multiplication, existence of multiplicative inverse, modulative, associative and commutative properties:

x · (x - 1) = 20 + 2 · (x + 4)                                            

Step 5 - By distributive property:

x² - x = 20 + 2 · x + 8                                                  

Step 6 - By compatibility with addition, distributive, modulative and associative properties:

x² - 3 · x - 28 = 0  

Step 7 - Factor x² - 3 · x - 28:

(x - 7) · (x + 4) = 0                                                        

Step 8 - By understanding the factors found in the previous, we get the folowing result:

x = 7 or x = - 4                                                               Result

The solution to the equation are 7 and - 4.

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