Which equation represents a line that has a slope of 3 and goes through the point (-3,7)

Answer:

a. True

Step-by-step explanation:

a. True

A cost that changes in total as output changes is indeed a variable cost. Variable costs are expenses that vary in direct proportion to the level of production or business activity. As output increases, variable costs increase, and as output decreases, variable costs decrease. Examples of variable costs include direct labor, raw materials, and sales commissions.

Answer: unit of account

Step-by-step explanation:

I learned this in Macro Chapter 34.

Answer:

n = 70

Step-by-step explanation:

n/10 + 6 = 13

n/10 = 7

n = 70

CHECK:

70/10 + 6 = 13

Answer:

3/8

Step-by-step explanation:

If ive read this correctly it's asking what is 25% times 1.5, that would be 0.25 times 1.5 which is 0.375 turned into a fraction could be 375/1000 or simplified would be 3/8 as both are divisable by 125.

A statistic is a numerical summary of a sample.

A sample statistic is explained as any number computed from a sample of data.

Examples include the sample average, median, sample standard deviation, and percentiles. A statistic is a random variable because it is based on data obtained by sampling technique in which each sample has an equal probability of being chosen.

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"Create a new matrix by copying elements greater than or equal to 25 from the original matrix."

To process a given n×m matrix with the provided rules, we need to create a new matrix that retains only the elements greater than or equal to 25 from the original matrix. We can start by initializing an empty new matrix of the same size as the original matrix. Then, we iterate through each element of the original matrix. For each element, we check if it is greater than or equal to 25. If it satisfies this condition, we copy that element to the corresponding position in the new matrix.

By applying this process for all elements in the original matrix, we generate a new matrix that contains only the elements greater than or equal to 25. The new matrix will have the same dimensions as the original matrix, and the elements in the new matrix will be placed in the same positions as their corresponding elements in the original matrix

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The sequence follows a difference of 9.

There is no specific relationship between 2 and 6.

The largest number that divides two or more given numbers is called the Highest common factor (HCF) of those numbers. Methods to find HCF.

the relationship of 2 and 6,

There is not clearly mentioned any relationship between 2 and 6.

We can observe that 2 and 6 are both non-negative even natural numbers.

2 to the 6th power,

The exponent or power of a number shows how many times the number is multiplied by itself.

The value of 2 raised to the 6th power i.e., 2⁶ is 64.

HCF of 2 and 6

HCF of 2 and 6 is the largest possible number that divides 2 and 6 exactly without any remainder.

The factors of 2 and 6 are 1, 2 and 1, 2, 3, and 6 respectively.

There are 3 commonly used methods to find the HCF of 2 and 6 - prime factorization, Euclidean algorithm, and long division.

So, The HCF of 2 and 6 is 2.

Hence, there is no specific relationship between 2 and 6.

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The volume of the tree stump is approximately calculated as: 2327.6 cubic inches.

First, we need to convert the circumference from inches to feet since the height is given in feet:

50 in ÷ 12 in/ft = 4.17 ft (rounded to two decimal places)

Now, we can use the formula for the volume of a cylinder:

V = πr²h

where r is the radius and h is the height. We can find the radius from the circumference:

C = 2πr

50 in = 2πr

r = 25/π in ≈ 7.96 in (rounded to two decimal places)

Now we can calculate the volume in cubic inches:

V = π(7.96 in)²(1.9 ft x 12 in/ft)

V ≈ 2327.6 cubic inches

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The number of fiction books in the library is equal to 16

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given the ratio of fiction to nonfiction books in a classroom, the library is 2 to 3, and then the total ratio of both books will be 2+3 = 5. If there are 24 books non-fiction books in the library, to get the number of fiction books that are there we will follow the following steps.

First, we will calculate the total number of books in the shelf;

3/5  x Total number of books = total non fiction books

3/5 * Total number of books = 24

3*Total number of books = 5*24

3*Total number of books = 120

Total number of books = 120/3

Total number of books = 40

Therefore there are 40 total books on the shelf.

Total number of fiction books = 2/5 * 40

Total number of fiction books = 2* 8

Total number of fiction books = 16 books

Hence there are 16 fiction books on the shelf.

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Hi there!  

»»————-　★　————-««

I believe your answer is:  

d – 22 ≥ 28

d ≥ 50  

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Information Given:}}\\\\d - \text{Initial amount of money}\\\\\text{22 dollars was spent, and there are 'at least' 28 dollars left.}\)

⸻⸻⸻⸻\(\boxed{\text{Setting up an inequality:}}\\\\\text{22 dollars was spent from the initial amount, 'd'.}\\\\d - 22\\\\\text{There are \textbf{at least} 28 dollars left. "At least" indicates a \underline{greater than or equal to} sign.}\\\\\rightarrow \boxed{d-22\geq 28}\)

⸻⸻⸻⸻

\(\boxed{\text{Solving the inequality:}}\\\\d - 22\geq 28\\-------------\\\rightarrow d - 22 + 22 \geq 28 + 22\\\\\rightarrow \boxed{d \geq 50}\)

⸻⸻⸻⸻

\(\text{Your answer should be: }\boxed{d-22\geq 28; \text{ }d \geq 50}\)

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.  

Sothe non-parametric equation of the plane with the given normal vector and passing through the point (5, -6, 0) is: -5x + 6y + 6z + 61 = 0

In order to find the non-parametric equation of the plane, we need the normal vector and a point on the plane. The normal vector is given as (-5, 6, 6), and a point on the plane is (5, -6, 0).

The non-parametric equation of a plane is given by:

Ax + By + Cz = D

where (A, B, C) is the normal vector and (x, y, z) is a point on the plane. We can substitute the values into the equation to find the values of A, B, C, and D.

(-5)(x - 5) + (6)(y + 6) + (6)(z - 0) = 0

Expanding this equation:

-5x + 25 + 6y + 36 + 6z = 0

-5x + 6y + 6z + 61 = 0

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The approximation of the trigonometry ratio cot(5) is 11.43

The trigonometry ratio expression is given as

cot(5)

In trigonometry ratio, we have the following equation

cot(x) = 1/tan(x)

This means that x = 5

Substitute 15 for x in the equation cot(x) = 1/tan(x)

So, we have

cot(5) = 1/tan(5)

Using a calculator, we have:

cot(5) = 1/0.0875

Evaluate the quotient

So, we have

cot(5) = 11.4286

Approximate the above result

So, we have

cot(5) = 11.43

Hence, the approximation of the trigonometry ratio cot(5) is 11.43

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Answer:

Step-by-step explanation:

The number of miles in the taxi ride is 13 miles.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, Lydia took a taxi from her house to the airport and the taxi company charged a pick-up fee of $4.10 plus $2.50 per mile.

The equation can be illustrated thus:

4.10 + 2.5x = 36.60

Collect like terms

2.5x = 36.60 - 4.10

2.5x = 32.5

Divide

x = 32.5 / 2.5

x = 13

The number of miles is 13 miles

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The type of influence on wellness that this represents is given as follows:

A. Social.

An influence on wellness is an activity that improves the morale of certain aspect of our lives.

The aspect improved in this problem is the social aspect, along with the physical aspect, as follows:

Since this is an example of social bonding, option A gives the correct option regarding which type of influence on wellness this is an example of.

For example, reading a book would be intellectual influence, while recycling would be environmental influence.

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Answer:

2 1/2

Step-by-step explanation:

8-5 1/2 = 2 1/2

Hope this helps!

Answer: -5x=15

Step-by-step explanation:

f

Answer:

3(x - 9) = 6(x + 5) - x

3x - 27 = 6x + 30 - x

3x - 27 = 5x + 30

2x = -57, so x = -28.5

x + 8 = 8(x + 1)

x + 8 = 8x + 8

x = 8x, so x = 0

Answer:

A whole number is any positive integer greater than zero and is not a fraction or a decimal. Any whole number can be divided by itself and one so therefor all pairs of whole numbers have a GCF of one. However the bigger the number the more factors it can have so the GCF of a pair of whole numbers may have a greater GCF than 1.

Step-by-step explanation:

\(\sin(66) = \frac{49}{x} \\ 0.913 = \frac{49}{x} \\ x = 53.6 \\ x = 54\)

The missing side is 53.6 units for the given right triangle.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

The right triangle is given in the question, as shown.

The ratio of the length of the side opposite the angle to the length of the hypotenuse of the triangle. The sine function is denoted by the symbol "sin" and is defined as follows:

sin(θ) = opposite / hypotenuse

Here, θ = 66°

Using the sine ratio in the given triangle, we get

sin 66° = perdenicular/hypertanuas

Substitute the known values in the above ratio,

sin 66° = 49/x

x = 49/sin 66°

x = 53.63717

Rounded to the nearest tenth,

x ≈ 53.6

Thus, the missing side is 53.6 units for the given right triangle.

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On solving the provided question, we can say that the equation are cost of producing t units is C = 3t2 + 8t, revenue generated from sales is R = 4t2 + t if t>0 then C = 43t and is t>7 then C =D = 32t

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

the equation are

cost of producing t units is C = 3t2 + 8t,

revenue generated from sales is R = 4t2 + t

if t>0

then C = 43t

and is t>7

then C =D = 32t

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(a)(2,6),(-6,-8)

(b) (0,9),(4,-8)

(c) (-3,-3),(7,10)

Answer:

y = -3x - 4

Step-by-step explanation:

Find the slope.

y2-y1/x2-x1

-9/3 = -3

-3 is the slope. You know the y-intercept is -4 since (0, -4) is a point. The y-intercept is the value of y where x = 0.

So if you know the slope is -3 and the y-intercept is -4, plug it into slope-intercept form.

y = mx+b

y = -3x - 4

Answer: (1) C. 65 + 28H < 250

(2) 6

Step-by-step explanation:

Here is the correct question:

Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an

hourly rate of $28. The plumber only charges for a whole number of hours. Anand would like to spend no more than $250, and he wonders how many hours of work he can afford.

Let H represent the whole number of hours that the plumber works.

1) Which inequality describes this scenario?

Choose 1 answer:

A. 28 + 65H < 250

B. 28 + 65H > 250

C. 65 + 28H < 250

D. 65 +28H > 250

2) What is the largest whole number of hours that Anand can afford?​

Since the initial fee charged by the plumber is $65 and an hourly rate of $28, and Anand would like to spend no more than $250. This means that the addition of the initial fee plus the hourly fee based on number of hours worked will have to be less than $250. This can be mathematically expressed as:

= 65 + 28H < 250

That means option C is the correct answer.

Option B and D are incorrect because the greater sign was used but Anand doesn't want to spend more than $250 but the options denoted that he spent more than $250 which isn't correct.

2)'The largest whole number of hours that Anand can afford goes thus:

65 + 28H < 250

28H < 250 - 65

28H < 185

H < 185/28

H < 6.6

Therefore, the largest whole number of hours that Anand can afford is 6.

Answer: The Answer is 65+28H < 250 and the largest amount of hours is 6

Step-by-step explanation:

Answer:

above sea level

Step-by-step explanation:

Answer:

The possible number of students in Mrs. Hayko's class is limited to 15 or 30, as higher multiples of 15 would exceed the desired class size.

Step-by-step explanation:

a)

Let 'x' be the total number of students in Mrs. Hayko's class.

One-third of the students walk to school: (1/3)x.

The remaining students who do not walk to school: (2/3)x.

Four-fifths of the non-walking students take the bus: (4/5) * (2/3)x.

Simplify to find the fraction of students taking the bus: (8/15)x.

b)

Consider different values for 'x' to find a whole number of students taking the bus.

Start with a small number, such as x = 15.

Calculate the number of students taking the bus using (8/15)x.

If the result is a whole number, it's a possible class size.

Repeat with different values of 'x' until a whole number is obtained.

The possible number of students in Mrs. Hayko's class could be 15, 30, or any other multiple of 15.

Answer:

It would be -x greater than or equal to 2

Step-by-step explanation:

Both equations both add up to -x being greater than or equal to 2