Linear regression has been applied to data for the engine power
on the engine displacement for 20 petrol engines. A linear model y
= 60 * x - 10 has been obtained, where x is in litres, and y is in
ki

Answer:

Slope is -2/3

Step-by-step explanation:

rise/run

y/x

-1 - 2 = -3(x)

4 - 2 = 2(y)

2/-3 = -2/3

Answer:

42 tubes of toothpaste.

Answer:

carry out laws and put them in action

Time taken by Miguel car to drive is, 1.6 hour.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

Miguel went for a drive in his new car. He drove at a speed of 53 miles per hour for 84.8 miles.

We know that;

⇒ Speed = Distance / Time

⇒ Time = Distance / Speed

Here, Speed = 53 miles per hour

Distance = 84.8 miles

Hence, We get;

⇒ Time = 84.8 / 53

⇒ Time = 1.6 hour

Thus, Time taken by Miguel car to drive is, 1.6 hour.

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Answer:

take 300 time 12 months. take that nber times 18 years. then times that number by .07.

all together there is almost a $5000 difference. that is almost the total of having put 300 in the account for another 2 years without the apr

Step-by-step explanation:

Answer:

The answer is 129,216.31. Hope it helps

Step-by-step explanation:

Given linear inequalities is solved using graph paper line will pass through (6,0) and (-0,4) Area where required linear inequalities is satisfied is towards origin.

let's first try to understand  what is linear inequalities?

A linear inequality in mathematics is an inequality involving a linear function. One of the symbols for inequality is found in a linear inequality. It displays non-equal data in graph style.

the linear inequality's graph Since the inequality is severe and the shaded region points in the direction of the origin, 2 x-3 y < 12 is a straight line passing through the points (6, 0) and (0, -4), with the line being dot-dotted.

x - coordinate of the given line 2x - 3y =12

y =0 2x = 12 x = 6 (6,0)

y - coordinate of the given line -3y = 12 y = -4  (0,-4)

line passes through (6,0) and (0,-4).

Given Question is incomplete complete Question here:

How do you graph linear inequalities 2x - 3y< 12?

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Answer:

D

Step-by-step explanation:

Rounding the answer to four decimal places, the WACC is approximately 0.0655.

To calculate the weighted average cost of capital (WACC), we need to consider the cost of equity, cost of debt, debt ratio, and tax rate.

Cost of equity = 0.09

Cost of debt = 0.05

Debt ratio = 0.58

Tax rate = 0.35

WACC is calculated using the formula:

WACC = (E/V) * Re + (D/V) * Rd * (1 - Tax rate)

Where:

E = Market value of equity

V = Total market value of equity and debt

Re = Cost of equity

D = Market value of debt

Rd = Cost of debt

Since we are not given the market values of equity and debt, we can use the debt ratio to determine the proportions of equity and debt in the capital structure.

Let's assume a total market value of $1, which means equity value is (1 - debt ratio) and debt value is (debt ratio).

WACC = ((1 - 0.58) * 0.09) + (0.58 * 0.05 * (1 - 0.35))

     = 0.42 + 0.01885

     ≈ 0.43885

Rounding the answer to four decimal places, the WACC is approximately 0.0655.

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The smaller number is 25, and the larger number is 68. The larger number is 18 more than twice the smaller number, and their sum is 93.

To solve this word problem using the 3-step process, we need to find the two numbers given that the larger number is 18 more than twice the smaller and the sum of the two numbers is 93.
Step 1: Let's assign variables to the unknown numbers. Let's say the smaller number is "x" and the larger number is "y".
Step 2: Translate the given information into equations. From the problem, we know that the larger number is 18 more than twice the smaller. So, we can write the equation as: y = 2x + 18.
We also know that the sum of the two numbers is 93. So, we can write another equation as: x + y = 93.
Step 3: Solve the system of equations. We have two equations:
y = 2x + 18
x + y = 93
We can solve this system of equations by substitution method or elimination method. Let's use substitution.
Substitute the value of y from the first equation into the second equation:
x + (2x + 18) = 93
3x + 18 = 93
3x = 93 - 18
3x = 75
x = 75 / 3
x = 25
Now, substitute the value of x back into the first equation to find y:
y = 2(25) + 18
y = 50 + 18
y = 68
So, the smaller number is 25 and the larger number is 68.

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If the perimeter is 16' the sum of the length and width must be 8'. Assuming that area is non 0 possible dimensions are:

1x7 2x6 3x5 4x4 5x3 6x2 7x1

Work Shown:

r = 6 = radius

V = volume of a sphere of radius r

V = (4/3)*pi*r^3

V = (4/3)*pi*6^3

V = 904.77868423386

V = 904.8

I used my calculator's stored version of pi (instead of something like pi = 3.14)

The units "cubic meters" can be abbreviated to m^3 or \(m^3\)

The volume of the given sphere is 904.8 cubic meters. Thus, option B is the answer.

         The volume of a sphere can be calculated using the formula:

V = \(4/3 * \pi * r^3\),

Where V is the volume and r is the radius of the sphere.

\(\pi\) = 3.14

The radius of the sphere (r) = 6m

Plugging in the given radius of 6m into the formula, we get:

V = (4/3) * \(\pi\) * (6^3)

V = 1.333 * \(\pi\) * 216

V = 1.333 * 3.14 * 216

V = 4.1866 * 216

V = 904.8 cubic meters

Therefore, when the radius of the sphere is 6m, the volume of the sphere is 904.8  cubic meters.

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B. This quantity might be the optimal order quantity, but we also need to consider the company’s attitude toward risk.

Simulation models are useful tools for predicting the outcomes of different scenarios, but they are not always accurate representations of reality. Running a simulation model several times with different order quantities can give an indication of the order quantity that maximizes the output, but it does not guarantee that this is the optimal order quantity.

There are many factors that can affect the outcome of a simulation model, such as the model's assumptions, limitations, and inputs. Additionally, simulation models are subject to randomness and variability, so the results of different runs may vary.

For this reason, it is important to consider other factors, such as the company's attitude toward risk, when making decisions based on the results of a simulation model. The company's attitude toward risk can influence the choice of order quantity and affect the overall outcome of the simulation.

Therefore, while the order quantity that maximizes the output in a simulation model might be a good starting point, it is not necessarily the optimal order quantity. Further analysis and consideration of other factors is necessary to determine the best order quantity for the company.

A ratio is a mathematical expression that compares the relative size of two or more values. It is a way of expressing the relationship between two or more quantities in terms of their relative size.

A ratio can be expressed in different ways, such as a fraction, decimal, or percentage. For example, the ratio of 2 to 4 can be expressed as 2/4, 0.5, or 50%.

Ratios are used in many areas of mathematics and science, such as finance, economics, engineering, and physics, to describe and analyze relationships between quantities. For example, in finance, ratios are used to measure a company's financial performance, such as its profitability, liquidity, and debt-to-equity ratios. In engineering, ratios are used to describe the relationship between the size and power of a machine, such as the gear ratio in a car's transmission.

In general, ratios are useful for comparing quantities and understanding the relationships between them, and they play a key role in many aspects of mathematics and science.

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The missing value, rounded to the nearest hundredth, is approximately 54.46 degrees.

The equation sin ___ = 7/12 suggests that we need to find an angle whose sine is equal to 7/12. To determine the missing value, we can use the inverse sine function, also known as arcsine or sin^-1.

Using the inverse sine function, we can write the equation as ___ = sin^-1(7/12). Evaluating this expression with a calculator or a trigonometric table, we find that sin^-1(7/12) is approximately 54.46 degrees.

It's important to note that trigonometric functions have periodicity, meaning that there are multiple angles that have the same sine value. Therefore, there are other angles, such as 180 degrees minus 54.46 degrees, that also satisfy sin ___ = 7/12. However, when finding a single missing value, we typically consider the principal value within a specified range, often from -90 degrees to 90 degrees.

Thus, rounding to the nearest hundredth, the missing value that satisfies sin ___ = 7/12 is approximately 54.46 degrees.

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Work Shown:

y = 15.6 - 3.8x

y = 15.6 - 3.8*3

y = 4.2

Trent needs 13 years to have 30 lunchboxes in his collection.

Trent has a superhero lunchbox collection with 16 lunchboxes in it. From now on, he decides to buy one new lunchbox for his birthday each year, i.e., adding a new lunchbox each year. In how many years will he have 30 lunchboxes in his collection?Solution:Trent has 16 lunchboxes. He will add 1 more each year from his birthday.So, the first year he will have 16 + 1 = 17 lunchboxes.The second year he will have 17 + 1 = 18 lunchboxes.The third year he will have 18 + 1 = 19 lunchboxes.Similarly, the fourth year he will have 19 + 1 = 20 lunchboxes.

The pattern in the increasing of lunchboxes is 1, 1, 1, 1…Adding this pattern for 13 more years will bring the lunchboxes to 30.So, he needs 13 years to have 30 lunchboxes in his collection.Therefore, the answer is: Trent needs 13 years to have 30 lunchboxes in his collection.

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The equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.

What is the isolation of a variable in an equation?

Equations are relations between two quantities involving variables raised to multiple powers, making up terms along with numerals.

Isolation is the process of moving one variable to one-side of the equation and everything else on the other side of the equation.

How to solve the question?

In the question, we are given an equation, y = mx + b, and are asked to write m in terms of x, y, and b.

This means that we need to isolate the variable m, to get an expression equal to m.

The isolation of the variable m can be done as follows:

y = mx + b,

or, y - mx = mx + b - mx {Subtracting mx from both sides},

or, y - mx = b {Simplifying},

or, y - mx - y = b - y {Subtracting y from both sides},

or, -mx = b - y {Simplifying},

or, (-mx)/(-x) = (b - y)/(-x) {Dividing both sides by (-x)}

or, m = (y - b)/x {Simplifying}.

Thus, the equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.

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The equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.

What is the isolation of a variable in an equation?

Equations are relations between two quantities involving variables raised to multiple powers, making up terms along with numerals.

Isolation is the process of moving one variable to one-side of the equation and everything else on the other side of the equation.

How to solve the question?

In the question, we are given an equation, y = mx + b, and are asked to write m in terms of x, y, and b.

This means that we need to isolate the variable m, to get an expression equal to m.

The isolation of the variable m can be done as follows:

y = mx + b,

or, y - mx = mx + b - mx {Subtracting mx from both sides},

or, y - mx = b {Simplifying},

or, y - mx - y = b - y {Subtracting y from both sides},

or, -mx = b - y {Simplifying},

or, (-mx)/(-x) = (b - y)/(-x) {Dividing both sides by (-x)}

or, m = (y - b)/x {Simplifying}.

Thus, the equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.

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The Energy Star refrigerator will save approximately $116.80 in a year compared to a non-Energy Star refrigerator.

To calculate the amount saved in a year, we need to determine the cost difference per hour and multiply it by the number of hours the refrigerator runs in a year.

Given that the Energy Star refrigerator costs 2 cents less per hour to run, it means the cost difference per hour is $0.02.

To find the amount saved in a year, we need to multiply the cost difference per hour by the number of hours the refrigerator runs in a year. Assuming the refrigerator runs for 16 hours a day, the number of hours in a year can be estimated as:

Number of hours in a year = 16 hours/day * 365 days/year

Now we can calculate the savings:

Savings in a year = Cost difference per hour * Number of hours in a year

Savings in a year = $0.02 * (16 hours/day * 365 days/year)

Savings in a year = $0.02 * 5840 hours

Savings in a year = $116.80

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Answer:

Step-by-step explanation:

I'll help you out

For #4:

4 Parallel means that the lines have the same slope, but different intercept

I'm going to assume it's 2y - 5x = 10

\(2y - 5x = 10\\2y = 5x + 10\\y = \frac{5x}{2}+5\)

the slope is 5/2

We're given that it goes through the point (-10, 9),

we can substitute with the y = mx + b equation

\(y = mx + b\\9 = (-10)(5)/2 + b\\9 = -25 + b\\b = 34\\y = \frac{5}{2}x + 34\)

5 Perpendicular means that the slope of the line is the negative reciprocal of the other line

The first line is y = 5, if you look at this on a graph, it's a straight horizontal line. it's slope is 0.

1/0 is undefined, it'd be a straight line upwards, which can be represented by x = (something)

we're given that it goes through (-2, 9)

so the line is

\(x = -2\)

6

again, parallel = same slope

\(m = \frac{y_2-y_1}{x_2-x_1} \\m = \frac{8-3}{4-3}\\m = 5\\\)

\(y = mx + b\\1 = 5(7) + b\\1 = 35 + b\\b = -34\\y = 5x - 34\)

7

The two points are (0, 4) and (1, 7)

\(m = \frac{7-4}{1-0}\\ m = 3\\y = mx + b\\-3 = 3(5) + b\\-3 = 15 + b\\b = -18\\y = 3x - 18\)

8

the two points are (0, -3) and (3, -1)

\(m_1 = \frac{-1 - (-3)}{3-0}\\ m_1 = 2/3\\m_2 = \frac{-3}{2} \\y = mx + b\\-2 = \frac{-3(2)}{2}+b\\ -2 = -3 + b\\b = 1\\y = \frac{-3}{2}x+1\)

9

This is a straight up line, like in problem 5

it is x = -5

the perpendicular line is a horizontal line y = (something)

since it goes through 3 at -3, it is

\(y = 3\)

10

the line is y = 4

a parallel line to this is another horizontal line y = (something)

since it goes through 8, the line is

\(y = 8\)

Rachel would end up with 12 chocolate bars.

Two non-vertical lines in the same plane are said to be parallel if they have the same slope. No two parallel lines will ever cross. A set of non-vertical lines within the same plane are considered to be perpendicular if they meet at a right angle.

Perpendicular lines and parallel lines both meet at 90 degrees, although parallel lines never do. Lines are perpendicular if the slope of one line is equal to the reciprocal of the second line's negative slope.

Lines that have the same slope are therefore said to be parallel, and if the slope of one line is equal to the negative reciprocal of the slope of the other, the two lines are said to be perpendicular; otherwise, they are just intersecting lines.

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Answer: The radius of the small circle is about 0.85 cm - 0.95 cm

Explanation: I am not completely sure but I drew the same figure with the same lengths as given and between both circles there is almost a gam of 2.5 - 3 cm and when we draw a circle between them the diameter is about 1.7 - 1.9 so dividing the diameter by 2 to get the radius we get 0.85 cm - 0.95 cm.

Answer:

o.85 to 0.95

Step-by-step explanation:

I got to go so I don' have time to explain!

Answer:

- 9 + 12x

Step-by-step explanation:

- 3(3 - 4x) ← multiply each term in the parenthesis by - 3

= - 9 + 12x

Answer:

correct answer is d!!!

Answer:

66%

Step-by-step explanation:

To find the percentage, we can use this formula:

Part/Whole

In this case, the Part=Seniors and Whole=All of the students in the class

Part/Whole

23/(23+12)

=23/35

=0.65714

=0.66

=66%

Answer:

90%

Step-by-step explanation:

22%

The value of the quantity after 47 years is approximately 4071.38.

To find the value of the quantity after 47 years, we'll use the formula for continuous compound growth:

Final Value = Initial Value * (1 + Growth Rate) ^ Time

Here, Initial Value = 3600, Growth Rate = 2.5% (which is 0.025 as a decimal), and Time = 47 years.

However, the growth rate is given per decade. So, first, we need to convert the time into decades:

Time (in decades) = 47 years / 10 years/decade = 4.7 decades

Now, we can use the formula:

Final Value = 3600 * (1 + 0.025) ^ 4.7

Final Value ≈ 3600 * (1.025) ^ 4.7
Final Value ≈ 3600 * 1.130939

Now, rounding the final value to the nearest hundredth:

Final Value ≈ 4071.38

So, the value of the quantity after 47 years is approximately 4071.38.

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Answer:

x = 1, y = −1

x = 5/2, y = 1/2

Step-by-step explanation:

From the question given above, the following data were obtained:

y = 2x² − 6x + 3 ........ (1)

y = x − 2 ...... (2)

We can obtain the solutions to the equation as follow:

y = 2x² − 6x + 3 ........ (1)

y = x − 2 ...... (2)

Substitute the value of y in equation 2 into equation 1

y = 2x² − 6x + 3

y = x − 2

2x² − 6x + 3 = x − 2

Rearrange

2x² − 6x − x + 3 + 2 = 0

2x² − 7x + 5 = 0

Solve by factorization

Obtain the product of 2x² and 5. The result is 10x².

Find two factors of 10x² such that their sum will result to −7x.

The factors are −2x and −5x.

Replace −7x in the equation above with −2x and −5x as shown below:

2x² − 2x − 5x + 5 = 0

2x(x − 1) − 5(x − 1) = 0

(x − 1)(2x − 5) = 0

x − 1 = 0 or 2x − 5 = 0

x = 1 or 2x = 5

x = 1 or x = 5/2

Substitute the value of x into equation 2 to obtain y

y = x − 2

x = 1

y = 1 − 2

y = −1

x = 5/2

y = x − 2

y = 5/2 − 2

y = (5 − 4)/2

y = 1/2

SUMMARY:

x = 1, y = −1

x = 5/2, y = 1/2

Answer:

x would be 15/2 or 7.5

Step-by-step explanation:

Answer:

\(\huge\mathcal\pink{answer..} \\ \\ \\ (2x \div 3) - 1 = 4 \\ \\ 2x \div 3 = 4 + 1 \\ \\ 2x \div 3 = 5 \\ \\ 2x = 5 \times 3 \\ \\ x = 15 \div 2 \\ \\ x = 7.5 \\ \\ \huge\mathfrak\purple{hope \: it \: helps..} \\\)

Answer:

66.666666666667%

Step-by-step explanation:

26 study biology

26/39= .66666666666667

convert into a percent

100 times .66666666666667 =66.666666666667%