Simplify the expression: 14x-5(6x-7)+18​

Answer:

G = 50

Step-by-step explanation:

50 is the initial after-cost, right?

answer is : The function formula will be

Since we have given that

Charges per each magical broom he makes for his customers = 125 gold pieces

Charges of one time fees = 50 gold pieces

Let the number of magical brooms he makes be 'x'.

Let the total number of gold pieces be 'G'.

According to question, it becomes

Step-by-step explanation:Since we have given that

Charges per each magical broom he makes for his customers = 125 gold pieces

Charges of one time fees = 50 gold pieces

Let the number of magical brooms he makes be 'x'.

Let the total number of gold pieces be 'G'.

According to question, it becomes

Since we have given that

Charges per each magical broom he makes for his customers = 125 gold pieces

Charges of one time fees = 50 gold pieces

Let the number of magical brooms he makes be 'x'.

Let the total number of gold pieces be 'G'.

According to question, it becomes

Ex 8. the solution to the differential equation y'' + y = t² with initial condition y(0) = -2 and y'(0) = 0 is y(t) = t² - 2. Ex 9. the isolated form of Y(s) for the given differential equation and initial conditions is: Y(s) = (1/(s - 3) + 6/s⁴ + s² + 2s + 4) / (s³ + s)

a) To find the Laplace transform of the given differential equation y'' + y = t², we first take the Laplace transform of both sides of the equation. Let's denote the Laplace transform of y(t) as Y(s).

Applying the Laplace transform to the equation, we get:

s²Y(s) - sy(0) - y'(0) + Y(s) = 1/s³

Substituting the initial conditions y(0) = -2 and y'(0) = 0, we have:

s²Y(s) + 2s + Y(s) = 1/s³

Now, let's isolate Y(s):

s²Y(s) + Y(s) = 1/s³ - 2s

(Y(s))(s² + 1) = 1/s³ - 2s

Y(s) = (1/s³ - 2s) / (s² + 1)

b) To find y(t) from the Laplace transform Y(s), we can apply the inverse Laplace transform. In this case, we need to use partial fraction decomposition to simplify the expression.

Y(s) = (1/s³ - 2s) / (s² + 1)

Y(s) = (1/s³) / (s² + 1) - 2s / (s² + 1)

Y(s) = 1/s³ * 1/(s² + 1) - 2s / (s² + 1)

Using partial fraction decomposition, we can express 1/(s² + 1) as A/(s + i) + B/(s - i), where i represents the imaginary unit.

1/(s² + 1) = (A/(s + i)) + (B/(s - i))

Multiplying through by (s + i)(s - i), we get:

1 = A(s - i) + B(s + i)

Expanding and equating the coefficients of the corresponding powers of s, we have:

0s² + 0s + 1 = (A + B)s + (B - A)i

Equating the coefficients, we get:

A + B = 0 (coefficient of s)

B - A = 1 (constant term)

Solving these equations, we find A = -1/2 and B = 1/2.

Now, we can rewrite Y(s) as:

Y(s) = 1/s³ * (-1/2)/(s + i) + 1/s³ * (1/2)/(s - i) - 2s / (s² + 1)

Taking the inverse Laplace transform of each term using standard formulas, we find:

y(t) = (-1/2)e^(-it) + (1/2)e^(it) - 2sin(t)

Since e^(-it) and e^(it) represent complex conjugates, their sum simplifies to:

y(t) = -2sin(t)

EXERCISE 9:

To find the Laplace transform of y''' + y' = e^(3t) + t³ with initial conditions y(0) = 1, y'(0) = 2, y''(0) = 3, we can follow a similar process as before. However, without solving the equation, we can isolate Y(s) by applying the Laplace transform to both sides of the equation and using the initial conditions:

s³Y(s) - s²y(0) - sy'(0) - y''(0) + sY(s) - y(0) = 1/(s - 3) + 6/s⁴

Substituting the initial conditions, we have:

s³Y(s) - s² - 2s - 3 + sY(s) - 1 = 1/(s - 3) + 6/s⁴

Now, let's isolate Y(s):

s³Y(s) + sY(s) = 1/(s - 3) + 6/s⁴ + s² + 2s + 4

(Y(s))(s³ + s) = 1/(s - 3) + 6/s⁴ + s² + 2s + 4

Y(s) = (1/(s - 3) + 6/s⁴ + s² + 2s + 4) / (s³ + s)

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The greatest possible length of time will be "1020 min".

Given:

The average length of time,

= 960

For all 3 computers,

The minimum length of time,

= 930

Let,

Now,

→     \(\frac{930+930+930+x}{3} = 960\)

→  \(\frac{930+930+930}{3} +\frac{x}{3} =960\)

→           \(\frac{3\times 930}{3} +\frac{x}{3} =960\)

→              \(930+\frac{x}{3}=960\)

→                        \(\frac{x}{3} = 960-930\)

→                        \(x = 30\times 3\)

→                        \(x = 90\)

hence,

The greatest possible length of time will be:

=  \(930+x\)

=  \(930+90\)

=  \(1020 \ min\)

Thus the above is the appropriate answer.

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The least possible area is 0 meter² and the greatest possible area is 49.5metre².

With four sides, four corners, and four right angles (90°), a rectangle is a closed 2-D object.

A rectangle has equal and parallel opposing sides. Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The rectangle's length is its longer side, while its width is its shorter side.

A little information

1) Parallelograms are all squares, yet squares are all not parallelograms

2) A rectangle is divided into four triangles by its diagonals.

3) While not all rectangles are squares, all squares are rectangles.

How to solve?

Area of rectangle is given by = length × breadth.

For minimum area, we have one digit whole number.

In whole number smallest digit is 0

so, least possible area =0×breadth=0 metres²,

Now talking about maximum possible area, the greatest one digit whole number is 9.

width of rectangular region is 5.5 meters.

The greatest possible area is =9×5.5=49.5meters².

Hence, the answers are 0 and 49.5 meters².

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(Complete question) is:

A landscaper digs a rectangular region for a garden. The length is a one digit whole number of meters and width is 5.5 meters. What is the least possible area? What is the greatest possible area?

Tripling the linear size of an object multiplies its area by a factor of nine.

When the linear size of an object is tripled, the area of the object is multiplied by 9.

This can be understood by considering the relationship between the linear size and the area of an object. If we assume that the object has a regular shape and the linear size refers to the length of its sides, then the area is directly proportional to the square of the linear size.

Let's denote the initial linear size of the object as L and the initial area as A. When the linear size is tripled, it becomes 3L. According to the square proportionality, the new area (A') can be expressed as:

A' = (3L)^2

A' = 9L^2

Comparing A' with the initial area A, we can see that A' is 9 times larger than A. Therefore, tripling the linear size of an object multiplies its area by 9.

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The graph of the linear equation:

y = -x + 4

can be seen on the image at the end.

Here we want to graph the following linear function:

y = -x + 4

To graph it, we need to find two points that lie on that line, and to get that we need to evaluate the line.

When x = 0.

y = -0 + 4

y = 4

So we have the point (0, 4)

When x = 2

y = -2 + 4

y = 2

So we have the point (2, 2)

Now we just need to graph these two poins and connect them with a line, we will get:

The equation for C, in terms of t, representing the number of chocolates remaining in the box t days after Violet's birthday is C = 24 - 4t

Number of chocolate violet eats each night = 4

Number of chocolate originally in the box = 24

Number of chocolate remaining = C

Number of days after violet birthday = t

Number of chocolate remaining = Number of chocolate originally in the box - (Number of chocolate violet eats each night × Number of days after violet birthday)

C = 24 - (4 × t)

C = 24 - 4t

In conclusion, the equation which represents violet's remaining chocolate after her birthday is C = 24 - 4t

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Answer:

1.25 x 10^3

Step-by-step explanation:

i took the test

Answer:  9 - 6n6n - 9(6 + n) - 99 - (6 + n)

Answer:

√12 is between 3 and 4.

Explanation

The number \(\sqrt{12}\) is an irrational number that is between 3 and 4.

The given number is \(\sqrt{12}\)

The irrational number is such a number that cannot be expressed in the form of p/q, and are nonterminating and non-repeating.

The number 12 is an irrational number since its value, 3.4641016, has no repeating or ending digits after the decimal, and it cannot be represented as a fraction.

The value  \(\sqrt{12}\) is 3.464101

So, the value \(\sqrt{12}\) is between 3 and 4.

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A decrease in insurance costs for balloon owners would lead to an increase in the supply of balloon rides, resulting in a rightward shift of the supply curve.

To illustrate this, imagine a graph with price on the vertical axis and quantity on the horizontal axis. Initially, the supply curve for balloon rides is upward sloping, indicating that balloon owners are willing to supply a certain quantity of rides at different prices. When insurance costs decrease, the supply curve shifts to the right, indicating that balloon owners are now willing to supply a greater quantity of rides at each price level.

On the other hand, the decrease in insurance costs would not directly affect the demand curve for balloon rides. The demand curve represents the preferences and purchasing power of consumers. Unless there is a change in consumer preferences or incomes, the decrease in insurance costs does not impact the quantity of balloon rides that consumers are willing and able to purchase at different prices. Therefore, the demand curve for balloon rides would remain unchanged.

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Answer:

0.06 in standard form is 6.0 × 10-2

Step-by-step explanation:

Answer:

this probably isn't right, but with an educated guess it's probably the third answer.

Step-by-step explanation:

Answer:

4/49

Step-by-step explanation:

1 week : 5 working days

5*$4= $20

20/245= 4/49

Step-by-step explanation:

slope= -a/b

=-4/8

-1/2

Hello there. To solve this quadratic equation using the method of completing squares, we need to remember some properties on binomial expansions.

First, remember that (a + b)² = a² + 2ab + b².

With this in mind, we want to find a value b that we can sum into x² + 3x and reach something like the expression in the line above.

So, we divide the second term coefficient by two

3/2

Now, square this term

9/4

Sum this term on both sides of the equation

x² + 3x + 9/4 = 40 + 9/4

Sum the fractions on the right hand side

x² + 3x + 9/4 = 169/4

Now, we can make the LHS return to its power form:

(x + 3/2)² =

Answer:

POKEMON YEAH!

Okay, so you first want to take 2485, and subtract it from 4500, because that is the amount of money he has already collected.

4500 - 2485 = 2015

Now you need to find out how many time you can multiply 155, to get 2015, or higher. In this case, I am just gonna divide:

2015/155 = 13

It will take him 13 more weeks to have enough for the Pokemon cards!

Step-by-step explanation:

Hope it helps! =D

Answer:

4:7 = 32:56

Step-by-step explanation:

4 x 8 = 32

7 x 8 = 36

Hope this helped!

PLZZZZZ give me brainliest

Answer:  32:56

Step-by-step explanation:

because first I divided 56/7=8 and then did 4*8=32. You're welcome!!! c:

Answer:

  (c)  the converse of the original conditional statement

Step-by-step explanation:

If a conditional statement is described by p→q, you want to know what is represented by q→p.

For the conditional p→q, the variations are ...

As you can see from this list, ...

  the converse of the original conditional statement is represented by q→p, matching choice C.

__

Additional comment

If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.

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Answer:

Step-by-step explanation:

The slope-intercept form:

y = mx + b

Where m is the slope and b is the Y-intercept

m = 9,   b = 13

so:

y = 9x + 13

Answer:

False

Step-by-step explanation:

You can't add without first doing the terms of 2^3---(PENDAS)

The area of the sector with a central angle of 60 degree and radius of 8 units is approximately 33.5 sqaure units.

A sector of a circle is simply part of a circle made up of an arc and two radii.

The area of a sector of a circle can be expressed as:

Area = (θ/360º) × πr²

Where θ is the sector angle in degrees, and r is the radius of the circle.

From the image:

Measure of central angle θ = 60 degrees

Radius r = 8 units

Plug these values into the above formula and solve for the area:

Area = (θ/360º) × πr²

Area = (60°/360°) × π × 8²

Area = 1/6 × π × 64

Area = 1/6 × π × 64

Area = 33.5 sqaure units.

Therefore, the area is approximately 33.5 sqaure units.

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The relationship between the type 1 error rate (α) and statistical power is inversely proportional. A type 1 error occurs when we reject a true null hypothesis, and statistical power is the ability to correctly reject a false null hypothesis. When we set a lower α value (e.g., 0.01 instead of 0.05), we decrease the chances of making a type 1 error, but we also decrease statistical power. On the other hand, setting a higher α value (e.g., 0.1 instead of 0.05) increases the chances of making a type 1 error, but also increases statistical power. Therefore, researchers must strike a balance between these two values to ensure their study has sufficient power while also minimizing the risk of making false conclusions.

The relationship between type 1 error rate (α) and statistical power is an important concept in statistical hypothesis testing. A type 1 error occurs when we reject a null hypothesis that is actually true. The probability of making a type 1 error is represented by the α level. Statistical power, on the other hand, is the probability of correctly rejecting a false null hypothesis. In other words, it is the ability of a study to detect a significant effect if one exists.

The relationship between α and statistical power is inversely proportional. This means that as α increases, statistical power decreases, and vice versa. If a study sets a lower α value (e.g., 0.01 instead of 0.05), the chances of making a type 1 error decrease. However, this also means that the study may have less statistical power because it is more difficult to reject the null hypothesis. Conversely, if a study sets a higher α value (e.g., 0.1 instead of 0.05), the chances of making a type 1 error increase, but statistical power may increase as well because it is easier to reject the null hypothesis.

In summary, researchers must balance the α level and statistical power when conducting hypothesis testing. A lower α level decreases the chances of making a type 1 error, but also decreases statistical power. A higher α level increases the chances of making a type 1 error, but may increase statistical power. Researchers must consider the importance of minimizing the risk of false conclusions while also maximizing the ability to detect a significant effect.

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Answer:-3/4

Step-by-step explanation:

flip and switch the sign

Answer:

Perpendicular Slope: -3/4

Step-by-step explanation:

The perpendicular slope of a line is the opposite reciprocal.

Answer:

Take the information given and create an equation that add up to 360.

Step-by-step explanation:

You might assume the smallest angle to be the given 55, so that would make the third term 120+55. The fourth angle is unknown, x

The equation sets up as

55+65+(55+120)+x = 360

Add all the numbers to get 295.

295+x=360

Subtract 360-295 = x

x=65

The four angles are 55°,65°,175° and 65°

I hope this answers your question!

Answer:

\(x = 4\)

Step-by-step explanation:

give my like

The correct sentences that represent the inequality are as follows;

The sum of 2.1 and –1.2 times a number is at least 8.

The sum of 2.1 and –1.2 times a number is greater than or equal to 8.

The sum of 2.1 and –1.2 times a number is a minimum of 8.

Inequality; \(\rm 2.1 + (-1.2x) \geq 8\)

When two real numbers or two algebraic expressions are represented with symbols like <, > or ≤, ≥ they can be called an inequality.

Inequality; \(\rm 2.1 + (-1.2x) \geq 8\)

The correct sentences that represent the inequality are as follows;

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The range of possible distances from the beach to the theater is 2 km to 16 km, calculated by subtracting the distance between the theater and the house (7 km) from the distance between the beach and the house (9 km), and adding it back.

To calculate the range of possible distances from the beach to the theater, we can use the information provided

Start with the distance between the beach and the house: 9 km.

Subtract the distance between the theater and the house: 7 km.

9 km - 7 km = 2 km.

This gives us the minimum possible distance from the beach to the theater: 2 km.

Add the distance between the theater and the house: 7 km.

9 km + 7 km = 16 km.

This gives us the maximum possible distance from the beach to the theater: 16 km.

Therefore, the range of possible distances is from 2 km to 16 km.

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--The given question is incomplete, the complete question is given below " Describe the range of possible distances from the beach to the theater "--

Answer:

Step-by-step explanation:

The key here is knowing that the equation of the line that passes through these points is same

Thus having (6,14) and (0,0), the slope is as follows;

m = y2-y1/x2-x1 = 0-14/0-6 = -14/-6 = 7/3

Now we can use this slope here to get the value of y in the question

All we need to do is tie write the equation of the line for between the points (6,14) and (2,y)

That would be;

7/3 = y-14/1-6

7/3 = y-14/-5

cross multiply;

-35 = 3(y-14)

-35 = -3y + 42

-3y = -35-42

-3y= -77

y = -77/3

y = 77/3