I will be asking questions constantly to finish a class​

The equation of the line in slope-intercept form is: y = -7 if a line has a slope of 0 and passes through the point (6,-7).

What is a slope?

Slope is a measure of the steepness or incline of a line. It describes how much the dependent variable (usually y) changes for a given change in the independent variable (usually x).

the equation of a horizontal line passing through the point (6,-7) has a y-coordinate of -7 for all values of x.

A line can be represented in slope-intercept form as:

y = mx + b

where m is the slope of the line and b is the y-intercept (the y-coordinate where the line intersects the y-axis).

If the slope of a line is 0, then the line is horizontal, meaning it does not go up or down (i.e., it is parallel to the x-axis). In this case, m = 0, so the equation of the line becomes:

y = 0x + b

y = b

This means that the y-coordinate of any point on the line is equal to the y-intercept, b.

We know that the line passes through the point (6,-7), so we can substitute x = 6 and y = -7 into the equation to solve for b:

-7 = b

Therefore, the equation of the line in slope-intercept form is:

y = -7

This means that the line is a horizontal line passing through the point (6,-7), and its y-coordinate is always -7, regardless of the value of x.

To learn more about slope from the given link:

https://brainly.com/question/3605446

#SPJ1

This shows that a reasonable domain for this function is x > -5/6

The domain of a function is a value of the independent variable of the function for which it exists.

Given the equation below:

f(x) = 12x + 10

Since the function represents the expression used calculate a person's daily paycheck, then the function f(x) must be greater than zero;

12x + 10 > 0

12x > -10
x > -10/12
x > -5/6

This shows that a reasonable domain for this function is x > -5/6

Learn more on domain of a function here: https://brainly.com/question/26098895

#SPJ1

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    f*(x)-(-x^2-3*x)=0  

STEP

1

:

STEP

2

:

Pulling out like terms

2.1     Pull out like factors :

  fx + x2 + 3x  =   x • (f + x + 3)  

Equation at the end of step

2

:

 x • (f + x + 3)  = 0  

STEP

3

:

Theory - Roots of a product

3.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

3.2      Solve  :    x = 0  

 Solution is  x = 0

Equation of a Straight Line

3.3     Solve   f+x+3  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  f+x+3  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of f is -3/1 so this line "cuts" the f axis at f=-3.00000

 f-intercept = -3/1  = -3.00000  

Calculate the X-Intercept :

When f = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000

 x-intercept = -3/1  = -3.00000  

Calculate the Slope :

Slope is defined as the change in f divided by the change in x. We note that for x=0, the value of f is -3.000 and for x=2.000, the value of f is -5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.000 - (-3.000) = -2.000 in f. (The change in f is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -2.000/2.000 = -1.000  

Geometric figure: Straight Line

 Slope = -2.000/2.000 = -1.000

 x-intercept = -3/1 = -3.00000

 f-intercept = -3/1 = -3.00000

x = 0

Answer:

180

Step-by-step explanation:

1 foot a minute = 0.0113636364 miles a hour

15840 • 0.0113636364 = 180.000001

So pretty much just round down

The airplane's speed in miles per hour will be 180.

Conversion means to convert the same thing into different units.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

A small airplane is flying at a speed of 15,840 feet per minute.

We know that one mile is equal to 5280 feet and in one hour, there are 60 minutes. Then we have

⇒ 15,840 (60 / 5280)

⇒ 180 miles per hour

Then the airplane's speed in miles per hour will be 180.

More about the conversion link is given below.

https://brainly.com/question/9414705

#SPJ6

Answer:

18, 20, 24, 26, 32

The median is 24.

Answer:

1) x = -1

2) x = 37

Step-by-step explanation:

1) \(8 - ( - 6 - 12x) = - 10\)

After opening the brackets , the sign of the numbers in the brackets would change.

\( = > 8 - 6 + 12x = - 10\)

\( = > 12x + 2= - 10\)

Substracting both the sides by 2 ,

\( = > 12x + 2 - 2 = - 10 - 2\)

\( = > 12x = - 12\)

Divding both the sides by 12 ,

\( = > \frac{12x}{12} = \frac{ - 12}{12} \)

\( = > x = - 1\)

2) \( - (7 - x) = 30\)

After opening the brackets , the sign of the numbers inside the brackets would change.

\( = > x - 7 = 30\)

Adding both the sides by 7 ,

\( = > x - 7 + 7 = 30 + 7\)

\( = > x = 37\)

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

To calculate the actual distance between Beitbridge and Musina, given the scale of the map and the measured distance on the map, we can use the concept of scale.

The scale of the map is given as 1:3,000,000, which means that 1 cm on the map represents 3,000,000 cm in real life.

The measured distance on the map between Beitbridge and Musina is 1.3 cm.

To find the actual distance, we can set up a proportion using the scale:

1 cm on the map / 3,000,000 cm in real life = 1.3 cm on the map / x km in real life.

Simplifying the proportion, we have:

1 / 3,000,000 = 1.3 / x.

Cross-multiplying, we get:

x = (1.3 * 3,000,000) / 1.

x = 3,900,000 / 1.

x = 3,900,000 km.

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

for such more question on distance

https://brainly.com/question/26046491

#SPJ8

Answer:

B

Step-by-step explanation:

(The picture on the bottom left)

Answer:

yes it is yee cause the negatives cancel out

Answer:

Yes

Step-by-step explanation:

Yes because a negative times a negative is always a positive.

-5 times -4 is 20 and 5 times 4 is 20

The value of (1+tan2A)(1-sec A)(1+sec A) is 1.

We can simplify the given expression using the trigonometric identities:

tan2A = 2tanA/(1-tan²A) and sec A = 1/cos A.

To simplify the given expression (1+tan²A)(1-secA)(1+secA), we can start by using trigonometric identities to express the terms in the expression in terms of a single trigonometric function.

Substituting these values, we get:

(1+tan2A)(1-sec A)(1+sec A)

= [1+2tanA/(1-tan²A)][1-1/cos A][1+1/cos A]

= [1-tan²A+2tanA][cos A-1/cos²A]

= [sec²A+2tanA][cos²A-1/cos²A]

= [sec²A+2tanA][sin²A/cos²A]

= [1/cos²A+2sinA/cosA][sin²A/cos²A]

= sin²A/cos²A

= 1

Therefore, the value of (1+tan2A)(1-sec A)(1+sec A) is 1.

Learn more about trigonometric identities

https://brainly.com/question/22591162

#SPJ4

Answer:

GCF 2(12) + 3(12)

Distributive property 24 + 32 = 2(12) + 3(12) = (2 + 3)(12) = 5(12)

Step-by-step explanation:

Answer:

123 * 10^6

OR

1.23 * 10^8

Answer:

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

By applying the exponent rule of division, the equivalent expression to  \(r^m \div r^n\) is: A. \(r^{m - n}\).

Given the expression, \(r^m \div r^n\), we can find the expression that is equivalent to it by rewriting the expression as shown below:

r^m ÷ r^n

According to the exponent rule of division, if we are to divide two bases together that have the same same base but different exponents, what we only need to do is to subtract their powers.

We would apply this same rule in this given problem.

Applying the exponents rule of division, we would subtract the powers:

r^m ÷ r^n = r^(m - n)

Therefore, by applying the exponent rule of division, the equivalent expression to  \(r^m \div r^n\) is: A. \(r^{m - n}\).

Learn more about the exponent rule of division on:

https://brainly.com/question/2263967

#SPJ1

Answer:3rd one

Step-by-step explanation:

y= (x-3)^2 +2 if o it stays in the middle

the 2 nears up 2 on the graph

then solve for x-3=0 equals 3 to the right if negative it moves to the left

Q1) The term logistics involves the process of planning, executing, and controlling the storage and movement of goods. Logistics includes activities such as warehousing, transportation, and distribution to meet customer requirements.

Q2) Outsourcing is a business practice of contracting out certain business activities or processes to external parties or individuals instead of conducting them in-house.

Logistics deals with the physical flow of goods from the point of origin to the point of consumption.In contrast, Supply Chain Management (SCM) encompasses all activities associated with the production and delivery of goods.

SCM is concerned with the management of all business activities that are related to procuring, transforming, and delivering products or services from suppliers to customers. SCM includes activities such as procurement, manufacturing, transportation, inventory management, and warehousing.

Q2) Outsourcing enables businesses to focus on their core competencies while external parties perform non-core activities.A logistics company, for example, might outsource its payroll and accounting functions to an external company, while another company outsources its warehousing, transportation, or distribution functions to a third-party logistics provider (3PL).

An example of outsourcing in logistics could be a company that outsources its transportation to a third-party logistics provider to transport goods from one location to another.

Learn more about outsourcing at:

https://brainly.com/question/32538642

#SPJ11

Answer:

Interest = $292.50 | Balance = $2092.50

Step-by-step explanation:

a. To find the interest earned, we can use the formula:

Interest = Principal x Rate x Time

where Principal is the amount invested, Rate is the annual interest rate, and Time is the time period in years.

In this case, the Principal is $1800, the Rate is 6.5% per year, and the Time is 30/12 = 2.5 years (since the interest rate is given as an annual rate and the time period is given in months).

So, we can plug in these values and calculate the interest:

Interest = $1800 x 0.065 x 2.5

Interest = $292.50

Therefore, the interest earned is $292.50.

b. To find the balance of the account, we need to add the interest earned to the original principal.

Balance = Principal + Interest

Balance = $1800 + $292.50

Balance = $2092.50

Therefore, the balance of the account after 30 months is $2092.50.

Step-by-step explanation:

I=prt

I=$1800*6.5%*2.5years (since 30 month means 2.5 years)

I=$292.50 is the interest

let as find the amount now

A=principle+interest

A=$1,800+$292.50

A=$2092.50 is the amount

hope that would help

We need to add 10 students to the hostel so that the food is enough for only 45 days.

Let's assume that "x" students need to be added to the hostel so that the food is enough for only 45 days.

We know that the total amount of food available is fixed, so the product of the number of students and the number of days that the food will last must also be fixed.

We can use this fact to set up an equation:

50 × 54 = (50 + x) × 45

To solve for x, we can simplify and solve for x:

Expand using FOIL method

50 × 54 = (50 + x)45

50 × 54 = 45 × 50 + 45 × x

2700 = 2250 + 45x

450 = 45x

x = 10

Therefore, number of students to be added is 10.

Learn to used PEMDAS and FOIL in solving equations here: https://brainly.com/question/36185

#SPJ1

A third-degree polynomial can have either one or three real roots, depending on whether it touches the x-axis at one or three distinct points.

To explain why a third-degree polynomial must have exactly one or three real roots. A third-degree polynomial is also known as a cubic polynomial, and it can be expressed in the form:

f(x) = ax³ + bx² + cx + d

To understand the number of real roots, we need to consider the possible combinations of x-intercepts.

The x-intercepts of a polynomial are the values of x for which f(x) equals zero.

Possibility 1: No real roots (all complex):

In this case, the cubic polynomial does not intersect the x-axis at any real point. Instead, all its roots are complex numbers.

This means that the polynomial would not cross or touch the x-axis, and it would remain above or below it.

Possibility 2: One real root: A cubic polynomial can have a single real root when it touches the x-axis at one point and then turns back. This means that the polynomial intersects the x-axis at a single point, creating only one real root.

Possibility 3: Three real roots: A cubic polynomial can have three real roots when it intersects the x-axis at three distinct points.

In this case, the polynomial crosses the x-axis at three different locations, creating three real roots.

Note that these possibilities are exhaustive, meaning there are no other options for the number of real roots of a third-degree polynomial.

This is a result of the Fundamental Theorem of Algebra, which states that a polynomial of degree n will have exactly n complex roots, counting multiplicities.

To learn more about polynomials visit:

https://brainly.com/question/11536910

#SPJ4

Answer:

36cm

Step-by-step explanation:

2l + 25

l=14cm, w= 4cm

2(14cm+4cm)=

28cm + 8cm=

36cm

Answer:

can you clear more I don't understand

The unconfined compression strength of the clay sample is equal to the major stress at failure, which is 3,000 psf.

To determine the unconfined compression strength of the clay sample, given that the major stress at failure is 3,000 psf, you can follow these steps:

1. Identify the major stress at failure, which is 3,000 psf in this case.

2. The unconfined compression test measures the unconfined compressive strength (UCS) of the clay sample. Since there is no lateral confinement in this test, the major stress at failure is equal to the unconfined compressive strength.

3. Therefore, the unconfined compression strength of the clay sample is 3,000 psf.

In summary, the unconfined compression strength of the clay sample is equal to the major stress at failure, which is 3,000 psf.

To know more about "Unconfined compressive strength" refer here:

https://brainly.com/question/29741429#

#SPJ11

When the null hypothesis is rejected

The  conclusion is that there is enough evidence to support the claim of the researcher

When a type I error occurs. The consequences is that the conclusion that there is enough evidence to support the claim of the researcher is actually incorrect

When a type II error occurs. The consequences is  that the conclusion that there is enough evidence  to support the claim of the researcher is actually correct      

From the question we are told that,

Generally if the null hypothesis is rejected then the conclusion would be that there is enough evidence to support the claim of the researcher

Generally a Type I error is a an error that occurs when the null hypothesis is incorrectly rejected

So in the case of this question the consequence of making this type of error is that the conclusion that there is enough evidence to support the claim of the researcher is actually incorrect

Generally a Type II  error is an error that occurs when the null hypothesis is incorrectly not rejected

So in the case of this question the consequence of making this type of  

error is that the conclusion that there is enough evidence to support the claim of the researcher is actually correct.

To know more Null Hypothesis about this visit,

https://brainly.com/question/18120257

#SPJ4

The formula for the surface area of the box, in terms of the length of one side of the square base (s), is A = s^2 + 4s^2 = 5s^2.

The derivative of the surface area function with respect to s, denoted as dA/ds, gives us the rate of change of the surface area with respect to the length of one side of the base.

1. The surface area of the box consists of the area of the square base and the four equal sides. The area of the square base is s^2, and each side has a length of s. Therefore, the total surface area is given by A = s^2 + 4s^2 = 5s^2.

2. To find the derivative of the surface area function, we differentiate 5s^2 with respect to s using the power rule of differentiation. The power rule states that if we have a function f(x) = cx^n, then the derivative is f'(x) = cnx^(n-1).

  Applying the power rule, we have dA/ds = d(5s^2)/ds = 10s.

3. The derivative, dA/ds = 10s, represents the rate of change of the surface area with respect to the length of one side of the square base. This means that for every unit increase in s, the surface area increases by 10s units.

  The derivative does not provide information about minimizing the amount of material used. To find the dimensions of the box that minimize the amount of material used, we need to set up an optimization problem and solve for the critical points. This involves setting the derivative equal to zero and finding the values of s that satisfy this equation. However, since the problem statement does not provide a specific volume constraint or objective function, we cannot proceed with the optimization process.

To learn more about derivative, click here: brainly.com/question/23819325

#SPJ11

We can say that the calculated correlation coefficient to be 0, cannot allow Randolph to conclude that there is no relationship between bacteria growth and time as if the correlation coefficient is 0, there is not a linear relationship, but there could be another type of relationship, making option A the right choice.

A correlation coefficient provides a numerical definition of correlation. This variable accepts values in the range of -1 to 1. Perfect negative linear correlation, or a straight line flowing downhill, has a coefficient of -1. On the other hand, a +1 coefficient indicates a complete positive linear association. No linear correlation exists when the correlation is zero.

Only linear associations can be found using the correlation coefficient. It doesn't always follow that there isn't a relationship there just because the correlation coefficient is close to 0.

Thus, we can say that the calculated correlation coefficient to be 0, cannot allow Randolph to conclude that there is no relationship between bacteria growth and time as if the correlation coefficient is 0, there is not a linear relationship, but there could be another type of relationship, making option A the right choice.

Learn more about the correlation coefficient at

https://brainly.com/question/11850486

#SPJ4

The provided question is incomplete. The complete question is:

"Randolph calculated the correlation coefficient to be 0 when counting bacteria growth over a period of 14 days. He concluded that there is no relationship between bacteria growth and time.

Is Randolph correct? Explain your reasoning.

A) Randolph's conclusion is not correct. If the correlation coefficient is 0, there is not a linear relationship, but there could be another type of relationship.

B) Randolph's conclusion is correct. If the correlation coefficient is 0, there is a linear relationship.

C) Randolph's conclusion is not correct. If the correlation coefficient is less than 1, there is not a linear relationship, but there could be another type of relationship.

D) Randolph's conclusion is correct. If the correlation coefficient is greater than −1, there is not a linear relationship, but there could be another type of relationship.

E) Randolph's conclusion is correct. If the correlation coefficient is less than 1, there is not a linear relationship, but there could be another type of relationship."

After figuring out the given issue, we discovered that the original square's area and the dilated square's area differ by 32 square centimeters.

Square Area = Side x Side. Hence, Side2 square units are equivalent to the area of the square. and four side units make up a square's perimeter.

The formula for calculating the area of a initial square with sides that are 2 centimeters long is:

A = s²

A = 2²

A = 4 square centimeters

The revised side length of this square after dilation by a scale factor of 3 is:

s' = 3s

s' = 3(2)

s' = 6 centimeters

Calculations for the dilated square's area are as follows:

A' = s'²

A' = 6²

A' = 36 square centimeters

The area of a dilated square differs from the size of the original square by:

A' - A = 36 - 4

A' - A = 32 square centimeters

As a result, the original square's area and the dilated square's area differ by 32 square centimeters.

To know more about area of a square, visit:

https://brainly.com/question/30556035

#SPJ1

The probability of winning in the game can be calculated by dividing the net gain by the cost to play the game, resulting in a probability of winning of 1 in every 250 games.

To determine the probability of winning, we need to compare the net gain with the cost to play the game. In this case, the cost to play is $X, and the net gain is $100,000 - $X. The expected value of the game is given as $Y. Since the expected value is the average outcome over many games, it can be calculated by multiplying the probability of winning by the net gain and subtracting the probability of losing multiplied by the cost to play:

Y = (1/250) * ($100,000 - $X) - (249/250) * $X

Simplifying the equation, we get:

Y = ($100,000 - $X)/250 - (249/250) * $X

Given that the expected value Y is $0, we can solve for X:

($100,000 - $X)/250 - (249/250) * $X = $0

Solving this equation, we find that X is equal to $399.60. Therefore, the probability of winning is approximately 1 in every 250 games.

Learn more about probability here:

https://brainly.com/question/32117953

#SPJ11

¬ Vx(Fx → Gx) v 3xFx ⊢ Fx → Gx [1-5, Modus Ponens]

i. ∃x(Fx & Gx) ⊢ ∃xFx & ∃xGx (5 marks)

Proof:

1. ∃x(Fx & Gx) [Premise]

2. Fx & Gx [∃-Elimination, 1]

3. ∃xFx [∃-Introduction, 2]

4. ∃xGx [∃-Introduction, 2]

5. ∃xFx & ∃xGx [Conjunction Introduction, 3 and 4]

6. ∃x(Fx & Gx) ⊢ ∃xFx & ∃xGx [1-5, Modus Ponens]

ii. ¬ 3x(Px v Qx) ⊢ Vx ¬ Px (5 marks)

Proof:

1. ¬ 3x(Px v Qx) [Premise]

2. ¬ Px v ¬ Qx [DeMorgan’s Law, 1]

3. Vx ¬ Px [∀-Introduction, 2]

4. ¬ 3x(Px v Qx) ⊢ Vx ¬ Px [1-3, Modus Ponens]

iii. ¬ Vx(Fx → Gx) v 3xFx (10 marks; Hint: To derive this theorem use RA.)

Proof:

1. ¬ Vx(Fx → Gx) v 3xFx [Premise]

2. (¬ Vx(Fx → Gx) v 3xFx) → (¬ Vx(Fx → Gx) v Fx) [Implication Introduction]

3. ¬ Vx(Fx → Gx) v Fx [Resolution, 1, 2]

4. (¬ Vx(Fx → Gx) v Fx) → (Fx → Gx) [Implication Introduction]

5. Fx → Gx [Resolution, 3, 4]

6. ¬ Vx(Fx → Gx) v 3xFx ⊢ Fx → Gx [1-5, Modus Ponens]

  Learn more about Derivations

  brainly.com/question/30365299

  #SPJ11

Answer:

70\(x^{2}\)+30x-140

Step-by-step explanation:

(7x+3) (10x-14)

70\(x^{2}\)-98+30x-42

70\(x^{2}\)+30x-42-98

70\(x^{2}\)+30x-140

Answer:

x = 9

Step-by-step explanation:

These are vertical angles, and thus the angles are equal.

7x + 3 = 10x - 24

Combining like terms, we get

27 = 3x, so that x must be 9.

x = 9