what is the equation of the line that passes through the point (-2, 14) and is perpendicular to the with the following equation? y = -2/5x - 1

The table represent a direct proportional relation.

In this question we find a table with four pairs of elements that have to be tested with respect to the direct proportional formula, which is defined below:

y = k · x

Where:

The table represents a direct proportional relation if and only if there is only one constant of proportionality:

k₁ = 12 / 3

k₁ = 4

k₂ = 20 / 5

k₂ = 4

k₃ = 8 / 2

k₃ = 4

k₄ = 32 / 8

k₄ = 4

As k₁ = k₂ = k₃ = k₄, the table represent a proportional relationship.

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Answer:

2k + 5

Step-by-step explanation:

Since this is a subtraction problem, you need to change it to an addition problem. When you do this, you also need to change the sign of each term in the second set of parentheses.

(-4k - 1) - (-6k - 6)

(-4k - 1) + (6k + 6)

Remove the parentheses and add like terms.

-4k - 1 + 6k + 6

2k +5

First, we can use the points (4,3) and (20,15) to find the slope of the line:

Now we can find the relation function using the point (4,3) and the slope s=3/4

therefore, the equation to describe the relationship between J and M is m=3/4j

The people of the Plymouth Colony fail to achieve the ideals of the Mayflower Compact as A. They did not come together to create a government.

The Mayflower Compact was the Plymouth colony's first government instrument. The Pilgrim Fathers, the emigrants who crossed the Atlantic on the Mayflower in search of religious freedom, wrote the manifesto. On November 11, 1620, it was signed on the sands of what is now Provincetown, near Cape Cod. The pilgrims knew they were in a land unfamiliar to the London Company when the Mayflower docked in Plymouth.

The strangers claimed that the Virginia Company contract was null and void. They believed that because the Mayflower landed outside of Virginia Company territory, they were no longer bound by the charter of the company. Because there was no official government over them, the stubborn strangers refused to acknowledge any regulations.

Many of the pilgrims were already weak from disease and a lack of food when they arrived in Plymouth. The journey had been lengthy, and they were running low on supplies. During the winter, the colony lost about half of its population owing to disease and famine.

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Answer:its A i did it on edge

Step-by-step explanation:

The proofreading rate of Karyn in pages per hour is $20 per 7.5 pages per hour , and she earn $20 per hour .

In the question ,

it is given that

Karyn proofreads ⇒15 pages in 2 hours for $40

Karyn in 2 hour proofreads 15 pages ,

So, in 1 hour She will proofread = 15/2= 7.5 pages

and will get $40/2 = $20 for 1 hour ,

hence ,her rate in pages per hour is $20 per 7.5 pages per hour .

In 2 hour Karyn earns $40

So , in 1 hour Karyn will earn $40/2 = $20

hence , she earn $20 per hour .

Therefore , the proofreading rate of Karyn in pages per hour is $20 per 7.5 pages per hour , and she earn $20 per hour .

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Answer:

the second answer

Step-by-step explanation:

Answer:

pretty sure its WZX

Step-by-step explanation:

By properties of perpendicular lines and algebra properties, the slope of the line perpendicular to line ℓ is represented by m' > 1.

Let m be the slope of a line, in accordance with analytic geometry, the slope of line perpendicular to the first one is equal to m' = - 1 / m. The statement can be summarized by the following inequality:

0 < m < 1

Then, by algebra properties for inequalities we find that that slope for the perpendicular line is:

0 < m · m⁻¹ < m⁻¹

0 < 1 < m⁻¹

1 < m⁻¹

- m⁻¹ > 1

- 1 / m > 1

m' > 1

The slope of the line perpendicular to line ℓ is represented by m' > 1.

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Answer:

180 degrees converted is 3.14159  i think

Step-by-step explanation:

Answer:

< y = 17 degrees.

Step-by-step explanation:

x + y = 180 - 112 = 68 (as there are 180 degrees in a triangle)

Also, x = 3y, so substituting for x in the first equation:

3y + y = 68

4y = 68

y = 17.

So,

x = 3*17 = 51,

Let:

Therefore:

The amount of honey each jar holds is 1/2 cup by jar

To solve this exercise we have to perform a mathematical operation of division with fractions:

Information about the problem:

To find the amount of honey each jar holds we state the following equation:

Amount of honey by jar = Cups brought / Jars filled

Amount of honey by jar = 14 cups /28 jar

Simplifying to its minimum expression, we have:

Amount of honey by jar = 7 cups / 14 jar

Amount of honey by jar = 1 cup / 2 jar

Amount of honey by jar = 1/2 cup by jar

Is a number that expresses the portion of some number over a total. The number that expresses the portion is known as the numerator and the number that expresses the total is known as the denominator.

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The kilometres that she has cycled in total by the end of the 18th week is 105.

Based on the information, this is an arithmetic sequence and the formula is illustrated as

= a + (n - 1)d

where a = first term = 20

d = common difference = 5

n = numbers = 18

Therefore, the 18th term will be:

= a + (n - 1)d

= 20 + (18 - 1)5

= 20 + (17 × 5)

= 20 + 85

= 105

The number of kilometers is 105 kilometers.

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Answer: 9. 189 divided by 21 is 9.

Step-by-step explanation:

The equation models this scenario regarding the hiker is x - 450 = 2300.

Elevation is simply used to illustrate the height above the sea level.

In this case, the hiker descended 450 feet down to an elevation of 2300 feet.

The equation that can model the scenario will be x - 450 = 2300

where x = Initial elevation

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In linear equation, The histogram will show that most of the data is centered between 6 minutes and 9 minutes.

What in mathematics is a linear equation?

5.5+6+7+10+7.5+8+9.5+9+8.5+8+7+7.5+6+6.5+5.5=111.5

Since there are 15 values,

           their mean is 111.5/15=7.43 which is very close to the mean.

A)A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes

D)The shape of the histogram can be approximated with a normal curve.

E)The histogram will show that most of the data is centered between 6 minutes and 9 minutes.

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We are told that Julia keeps 255 masks on the wall and 45 on the display case, this means in total the number of masks she has is

The number of masks Julia keeps on the wall is 255 masks; therefore, the percentage of fo masks on the wall is

Hence, Julia keeps 85% of her mask collection on her wall.

Answer:

52:56 and 39:42

Step-by-step explanation:

The ratios equivalent to 13:14 are:

52:56

39:42

3:4 is not equivalent to 13:14 because 3 is not a multiple of 13.

About twice as likely is a 16-year-old driver to crash with two passengers as opposed to with no passengers.A 16 or 17-year-old driver has a higher risk of dying every mile they drive compared to operating a vehicle alone. increases by 44% when one of the passengers is under the age of 21. while transporting two passengers who are under 21 in doubles.

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16-year-old driver to crash with two passengers as opposed to with no passengers is about twice as likely.

The complete question is,

According to the chart, approximately how many times more likely is a 16-year-old driver to crash with two passengers as opposed to with no passengers?

just as likely

about twice as likely

about three times more likely

about four times more likely

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We need to know simple division to solve the problem. The maximum number of men in the lift is 8 and the maximum number of women in the lift is 10.

We will be using the simple concept of division to find the number of people that the lift can carry. The average weight of a man is given to be 84 kg and the average weight of  a woman is given to be 70kg. The lift can carry 720 kg, we will find separately the number of men and women that can be carried in the lift. Inorder to find the maximum number of men we divide the total weight the lift can carry by the average weight of a man, we will similarly calculate the maximum number of women.

number of men= 720/84=8.57 which means that the number of men is 8

number of women =720/70=10.28 which means that number of women is 10.

Therefore the lift can carry at most 8 men and at most 10 women.

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Based on the distance walked by Nadia when she took her break, the statement that explains the distance already walked is C. The distance Nadia already walked is less because 3.4 - 1.6 = 1.8, and 1.6 < 1.8.

Nadia had already walked 1.6 miles by the time she took her break. This means that the distance she was still left to walk in the mile trail was:

= 3.4 - 1.6

= 1.8 miles

The distance that Nadia had already walked was 1.6 miles and yet she was left to walk 1.8 miles.

We can therefore conclude that the distance that Nadia already walked is less than the distance still to be walked.

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The distance Nadia already walked is less because 3.4 - 1.6 = 1.8, and 1.6 < 1.8 which is the correct answer would be an option (C).

Distance is calculated as the product of a person's movement and time.

Nadia took a rest after covering 1.6 miles of walking.

This indicates that she had the following distance to cover on the mile trail:

⇒ 3.4 - 1.6 = 1.8 miles

Nadia had already walked 1.6 miles, but she still had another 1.8 miles to go.

Therefore, the distance Nadia has already traveled is less than the distance that needs to be covered.

Hence, the correct answer would be an option (C).

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Answer:

y=4/3x+2

Step-by-step explanation:

The cost function of the box is C(x) = 2. x² + 160/x and the dimension that lead to the minimum cost is length = ∛40 ft., width = ∛40 ft., height = ∛5 ft.

Let:

x = the bottom's side length

h = the height of the box

Then, the surface area of top and bottom:

A1 = 2. x²

The surface area of vertical sides:

A2 = 4 x. h

The cost function is:

C(x)  = 2. x² . 1 + 4 x. h . 2

C(x) =  2. x² + 8 x. h

The volume of the box is:

V = x² . h

20 = x² . h

h = 20 / x²

Substitute h = 20 / x² into the cost function:

C(x) =  2. x² + 8 x. h

C(x) =  2. x² + 8 x. 20 / x²

C(x) = 2. x² + 160/x

At the minimum point, the derivative of a function is equal to zero. Hence,

C'(x) = 4x -160 / x² = 0

x³ = 40

x = ∛40

Substitute x = ∛40 to find the height:

h = 20 / x²

   = 2 . 10 / (∛4² . ∛10²)

   = ∛10 / ∛2 = ∛5

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Tom will need to pay $93.60 for 36 cans of Coca-Cola.

A linear expression can be represented by a line. The standard form for this equation is: y=ax+b , for example, y=3x+2.

The question gives:

Tom bought 10 cans of Coca-cola drink at a cost of USD26.00. Here you can convert this text into an algebraic expression, see:

10x = 26, where x represents the unit cost.

You can find x, solving the previous algebraic expression. Thus,

10x=26

x=26/10

x=2.6

So, 1 can of Coca-Cola costs $2.60.

For knowing the cost total for 36 cans of Coca-Cola, you need to multiply 36 units by the unit cost ($2.6). See below:

36*2.6= $93.60

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The following cases are described:

Algebraically speaking, rational functions are expressions of the form f(x) = p(x) / q(x), such that q(x) ≠ 0, where p(x) is the numerator and q(x) is the denominator. Rational functions can be found by using the defintion of division between two functions:

(f / g) (x) = f(x) / g(x)

And the domain of (f / g) (x) is every value of x such that g(x) ≠ 0. Now we proceed to find all the required information for each case:

Case 1 - f(x) = x² - 3 · x - 18, g(x) = x + 3

Rule: (f / g) (x) = (x² - 3 · x - 18) / (x + 3)

         (f / g) (x) = [(x - 6) · (x + 3)] / (x + 3)

         (f / g) (x) = x - 6

Domain: Since the resulting expression is a linear function, then the domain of (f / g) (x) is all the real numbers.

Case 2 - f(x) = x - 3, g(x) = x² - x - 6

Rule: (f / g) (x) = (x - 3) / (x² - x - 6)

         (f / g) (x) = (x - 3) / [(x - 3) · (x + 2)]

         (f / g) (x) = 1 / (x + 2)

Domain: The domain of the rational function is any real number except x = - 2.

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Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer I have given below

kind regards