Write an equation in point-slope form for the line with the given slope that contains the point. Then convert to slope-intercept form
1) m=-1/4; (-12, 5)
2) m=3 (0, -6)

The cost of Mary's lodging cost is A = $ 225.63

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

In an equation, the expressions on either side of the equals sign are called the left-hand side (LHS) and the right-hand side (RHS), respectively. The equals sign (=) indicates that the two expressions have the same value, and that the equation is true for certain values of the variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. It typically consists mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation.

Given data ,

Let the total lodging cost be represented as A

First, let's calculate the total tax percentage

6% + 2% + 1% = 9%

So, Mary will pay 9% tax on the room rate of $69 per night.

Total room rate for 3 nights = 3 x $69 = $207

Total tax amount = 9% of $207 = $18.63

On simplifying the equation , we get

Therefore, Mary's total lodging cost will be:

A = $207 + $18.63 = $225.63

Hence , the total lodging cost is A = $ 225.63

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ5

Answer:

13841287201

Step-by-step explanation:

I typed it into a calculator.

Answer:

Explanation:

Hope it helps.....

:)

In the context of vertical exchange, direct and indirect materials in an industry are purchased on an as-needed basis. This means that the materials are acquired when they are required for production or operations, rather than being stocked or acquired in advance.

Vertical exchange refers to the process of acquiring materials or components from external sources to support the production or operations of a particular industry. In this case, both direct and indirect materials are purchased on an as-needed basis.

Direct materials are those materials that are directly incorporated into the final product. They are essential for the production process and are directly tied to the finished goods. Examples of direct materials in various industries include raw materials, components, and parts.

Indirect materials, on the other hand, are materials that do not become part of the final product but are necessary for the operation of the production process. These materials support the manufacturing process indirectly. Examples of indirect materials include maintenance and repair supplies, lubricants, and office supplies.

Purchasing direct and indirect materials on an as-needed basis means that the industry acquires these materials only when they are required for production or operations. This approach helps minimize inventory carrying costs, storage requirements, and the risk of obsolescence. By purchasing materials as needed, the industry can manage its inventory levels efficiently, reduce costs, and maintain a lean supply chain.

To learn more about direct and indirect materials, click here: brainly.com/question/31965942

#SPJ11

Answer:

The general equation of a circle is x2 + y2 - 6x - 16y + 48 = 0

Step-by-step explanation:

The equilibrium price is the price at the equilibrium price is the price that brings supply and demand into balance, ensuring that the market clears and there is neither a shortage nor a surplus of goods.

The equilibrium price is the price at which the quantity demanded by consumers equals the quantity supplied by producers in a market. It is the point of balance between supply and demand.

At the equilibrium price, there is no shortage or surplus of goods in the market. The quantity demanded by consumers at that price matches the quantity supplied by producers, resulting in a state of market equilibrium.

If the price is set above the equilibrium price, there will be a surplus of goods because the quantity supplied exceeds the quantity demanded. Producers will be left with excess inventory, and they may need to lower the price to sell their goods.

On the other hand, if the price is set below the equilibrium price, there will be a shortage of goods because the quantity demanded exceeds the quantity supplied. Consumers will be willing to buy more goods at the lower price, and producers may need to raise the price to meet the increased demand.

Therefore, the equilibrium price is the price that brings supply and demand into balance, ensuring that the market clears and there is neither a shortage nor a surplus of goods.

To know more about equilibrium:

https://brainly.com/question/30694482#

#SPJ11

Answer:

I belive that the correct answer is 32. hope this helps mark me as brianliest????

Step-by-step explanation:

Answer:

missing constant is 36

Step-by-step explanation:

x²-12x+36

because 12x= 2*√x²*√36

so 36 is missing constant

and there is easier way (12/2)² = 36

Answer:

The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

you have a 1 out of 6 chance of getting 11

Answer:

B

Step-by-step explanation:

There are 6 options to choose from.

11 is one of those 6 cards.

Therefore, the probability will be 1/6, or B

Hope that helps!

-scsb17hm

On solving the provided question, we can say that 1 degree = 3600 arc seconds and 1 degree = 60 arc minutes.

A 160 degree angle is measured in arc minutes, often known as arcmin, arcmin, arcmin, or arc minutes (represented by the sign '). One minute is equal to 121600 revolutions, or one degree, hence one degree equals 1360 revolutions (or one complete revolution). A degree, also known as a complete angle of arc, angle of arc, or angle of arc, is a unit of measurement for plane angles in which a full rotation equals 360 degrees. A degree is sometimes referred to as an arc degree if it has an arc of 60 minutes. Since there are 360 degrees in a circle, an arc's angles make up 1/360 of its circumference.

1 degree = 3600 arc seconds

1 degree = 60 arc minutes

A. 2 degree 18'36 = 2 + 18/60 + 36 / 2600 = 231 / 100 degree

B. 36 ′ 18 ′′ = 36/60 + 18/2600 = 121 / 200 degree

C. 7 degrees 59′ 59′′ = 7 + 59 / 60 + 59 / 3600 = 28799 / 3600 degree

D. 1' = 1/60 degree

F. 1" = 1/3600 degree

To know more about degree visit:

https://brainly.com/question/364572

#SPJ4

Answer:

2y = x - 1

Step-by-step explanation:

y = 2y

mx = x

c = -1

Answer:

x = 121°

Step-by-step explanation:

The lower left interior angle of the triangle is adjacent to 115° and are supplementary, thus

interior angle = 180° - 115° = 65°

The angle round a point is 360°

The vertex interior angle = 360° - 304° = 56°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle, thus

x = 65° + 56° = 121°

Answer:

Step-by-step explanation: One denominator in the question is 4/5 and another is 1/2. A common denominator would be /10 because it applies to /5 and /2.

Answer:

(-3,5)

Step-by-step explanation:

we just plug the solutions in the equation to see if it’s true

y<x+12

12<-4+12

12<8

Not true 12 is not less than 8

9<-7+12

9<5
not true 5 is not greater than 9

8<-5+12

8<7

Not true 8 is not less than 7

5<-3+12

5<9
true 5 is less than 9

Hopes this helps please mark brainliest

Answer:

2,-2

you just have to look at the "menu" of choices and determine which one of the choices

fits the question... the f(-4) says you have to see which one of the three

choices has -4 in it ...

the middle one does -4≤x≤1 -4 is for sure in the range

this question #1 answer is "2" because the result is always a 2 for that choice...

the next question put in 3 ... three is greater than 1 (that is the third choice)

so the result is -(3) + 1 = -2

your answers are 2, and -2

Step-by-step explanation:

The basic elements of appropriateness, effectiveness, and ethics are associated with interpersonal communication competence.

Interpersonal communication competence refers to the ability to effectively and appropriately communicate with others in various interpersonal contexts. It involves the use of communication skills to achieve desired outcomes while considering ethical principles. Appropriateness refers to the suitability of communication in a given situation, taking into account cultural norms, social expectations, and interpersonal dynamics. Effectiveness pertains to the ability to achieve communication goals and desired outcomes, such as conveying information accurately or persuading others effectively. Ethics refers to the moral principles and standards that guide communication behavior, including honesty, integrity, respect, and fairness. These three elements—appropriateness, effectiveness, and ethics—are fundamental components of interpersonal communication competence, which is crucial for establishing and maintaining successful interpersonal relationships.

Learn more about Interpersonal communication here:

https://brainly.com/question/13361885

#SPJ11

The given statement, "B. If t is a real number that corresponds to the point on the unit circle that lies along the positive y-axis, then tant is undefined" is not true because, Tant is undefined if t is a real integer corresponding to the point on the unit circle that lies along the positive y-axis..

Statement (B) is false: "If t is a real integer corresponding to the point on the unit circle that is along the positive y-axis, then tant is undefined."

The following is an explanation for the aforementioned answer: For 90° and 270° angles, the tangent (tan) function is undefined. It is a standard angle on the unit circle and sits on the positive y-axis, it equates to 90 degrees or pi/2 in radians. The tangent function is not undefined at this angle, as shown below:

tan(pi/2) = undefined

Therefore, statement (B) is not true.

Learn more about tangent functions:

https://brainly.com/question/7966290

#SPJ11

Answer:

20 \(x^{4}\) \(y^{6}\)

Step-by-step explanation:

A = \(\frac{1}{2}\) ( 5 x³ \(y^{4}\) )( 8 x y² ) = 20 \(x^{4}\) \(y^{6}\)

Answer: length is 33ft

Step-by-step explanation:

Perimeter = length x2 + width x2 (add all sides of a rectangle)

width = 15ft

15 x 2 = 30 ft

86ft - 30 ft = 66 ft

66/2 = length of 1 side = 33 ft

The number of marbles of the color white, if A jar contains 350 marbles of two colors of all the marbles, 4 out of every 7 marbles are white, is 200.

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true. The probability of an event is a number between 0 and 1.

Given:

A jar contains 350 marbles, n = 350,

4 out of every 7 marbles are white,

Calculate the number of whites balls as shown below,

Number of one white ball in 7 marbles = 4 / 7

Number of white balls in 350 marbles =  4 / 7 × 350

Number of white balls in 350 marbles = 200

To know more about Probability:

https://brainly.com/question/743546

#SPJ1

Answer:

0.98 meters

Step-by-step explanation:

Since she is three-tenths as tall as her mother, she is 0.42 meters tall (1.4 × 0.3 = 0.42). That means she has to grow 0.98 meters to be 1.4 meters tall.

The injury probability p that makes the decision maker indifferent between entering now and waiting until next year is approximately 0.26.

To calculate this probability, we need to set the expected values of entering now and waiting until next year equal to each other and solve for p. Let EMV₁ be the expected value of entering now and EMV₂ be the expected value of waiting until next year. Then we have:

EMV₁ = -1000p + 5000(1-p)

EMV₂ = 0.9(-1000p) + 0.1(5000)

Setting EMV₁ equal to EMV₂, we get:

-1000p + 5000(1-p) = 0.9(-1000p) + 0.1(5000)

Solving for p, we get:

p ≈ 0.26

Therefore, if the probability of injury is greater than 0.26, the decision maker should wait until next year to enter the market, and if the probability of injury is less than 0.26, the decision maker should enter the market now.

To know more about probability, refer here:

https://brainly.com/question/12629667#

#SPJ11

Answer:

Your answer would have to be Graph A

Step-by-step explanation:

Because it's properly set up

The area being measured will not match the Riemann sum. By employing ever smaller forms to divide the area more precisely, this mistake can be minimized. The sum approaches the area as the shapes become ever-smaller.

A specific type of approximation of an integral by a finite sum in mathematics is known as a Riemann sum. It bears the name of the German mathematician Bernhard Riemann from the nineteenth century. Approximating the area of functions or lines on a graph, as well as the length of curves and other approximations, is a highly typical use.

To know more about Riemann sum please click here ; https://brainly.com/question/9043837

#SPJ4

A 12-ounce can of beer contains the same amount of alcohol as a five-ounce glass of wine.

In a five-ounce glass of wine, the percentage of alcohol is 12%, which is the same in the 12-ounce can or bottle of beer, and 1.5 ounces of 86-proof liquor. Although a person under the influence of alcohol will have impaired judgment and therefore must avoid driving, doesn't matter what kind of alcoholic beverage they drink. Digestion of alcohol doesn't take place as soon as you drink it, it is absorbed in your bloodstream which reaches the brain and thus creates impaired judgment.

To learn more about fluids and their concentrations,

https://brainly.com/question/19961339

#SPJ4

Answer:

  x^2 +4x = 18

Step-by-step explanation:

The variable y is isolated in the first equation by dividing both sides by the coefficient of y:

  3y = 12x . . . . . . given

  3y/3 = 12x/3 . . . . . divide by the coefficient of y

  y = 4x . . . . . . . simplify

__

This expression (4x) is put in place of y when substitution is used.

  x^2 +y = 18 . . . . given

  x^2 +4x = 18 . . . . . with 4x substituted for y

Answer:

7.1 in

Step-by-step explanation:

A triangle adds up to 180 degrees, and we know angle S is 90 degrees, so angle U is 180-90-42=48 degrees.

Using the law of Sines, we can say that

sin(90)/9.5 = sin(48)/ side ST

Thus, side ST = sin(48) * 9.5/sin(90) = 7.1 in