Point P divides segment AB in the ratio AP:PB = 3:10. Where is point P located?

Amount Luigi received per day is $3,384.4 and Amount Luigi received per hour is about $141

Profit is the difference between the revenue that an economic entity has received from its outputs and the total cost of its inputs.

The amount Mario invests = $500,000

Amount Luigi invests = $350,000

The ratio in which the profit was split after their first year = Within the same ratio of their initial investments

The amount of profit made by the business = $3 million

The ratio of their initial investment = 500,000 : 350,000 = 10 : 7

Therefore, the ratio in which the profit is split = 10 : 7

The amount Luigi received in a year = (7/(10 + 7)) × 3 = 1235294 2/17

The time unit conversion from year to day is presented as follows;

Number of days in a year = 365 days

The amount Luigi received per day = (1235294 2/17)/365 = 3384 456/1241

= 3384.4

The amount Luigi received per day = $3,384.4

b) The number of hours in a day = 24 hours

Amount Luigi received per hour = (3384 456/1241)/24 = 141 19/1241

141 19/1241 = 141

The amount Luigi received per hour is about $141

Hence, amount Luigi received per day is $3,384.4

Amount Luigi received per hour is about $141

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The equation of the plane can be expressed as 3t2x - y - 3t2z = d, where d is a constant.

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.

The equation of the plane that contains the curve with the vector equation r(t) = (t, t3, t) can be found by taking the cross product of two vectors that are on the plane. Let the two vectors be v1 = (1, 0, 1) and v2 = (1, 3t2, 1). Taking the cross product of these two vectors yields v1 x v2 = (3t2, -1, -3t2). This vector is perpendicular to the plane. Therefore, the equation of the plane can be expressed as 3t2x - y - 3t2z = d, where d is a constant.

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Answer: 21

Step-by-step explanation: Evaluate the first expression which is the cube root of 216. 6^3 equals 216 so the cube root of it is equal to six. Multiply it by 4 because thats what's its there for and you get 24. Subtract by 3 to get the final answer, 21.

Answer: 1,68

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the coffee tastes like mud, it may be due to several reasons:

Overbrewing: If the coffee is brewed for too long or with too much coffee grounds, it can result in a bitter taste, and it may have a muddy texture.

Dirty equipment: Dirty coffee makers or dirty coffee cups can cause the coffee to taste like mud. Residual coffee oils, grounds, or bacteria can create an unpleasant taste.

Old coffee beans: Coffee beans that have been stored for too long or have expired can lose their flavor, making the coffee taste stale and muddy.

Poor quality water: The quality of water used to brew coffee can significantly affect its taste. Hard water, which has high mineral content, can give the coffee a muddy taste.

Poor quality coffee beans: Using low-quality coffee beans can result in a muddy taste. Coffee beans that are not roasted correctly or not freshly roasted can also create an unpleasant taste.

Ground coffee storage: If the ground coffee is not stored correctly, it can absorb moisture and other flavors in the air, resulting in a muddy taste.

To avoid a muddy taste in coffee, it is essential to use high-quality beans, grind the beans freshly, use clean equipment, and follow the proper brewing instructions. By doing so, one can enjoy a flavorful and satisfying cup of coffee.

The volume of this solid is 18 cubic units.

This solid is a triangular prism with a triangular base and a height of 9 units. To calculate the volume of the solid, we can use the formula V=Bh, where B is the area of the base and h is the height. The base of the prism is a right triangle with sides of length 9, 9, and 6. We can use the Pythagorean Theorem to calculate the length of the hypotenuse of the triangle, which is equal to 12. We can then use the formula for the area of a triangle, A=1/2bh, to calculate the area of the base, which is equal to 27. We can then multiply this by the height, 9, to get the volume of the solid, which is 18 cubic units.

This solid is a triangular prism with a triangular base and a height of 9 units. To calculate the volume of the solid, we can use the formula V=Bh, where B is the area of the base and h is the height. The base of the prism is a right triangle with sides of length 9, 9, and 6.

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The skier's velocity changes during the race due to the force of gravity, making turns on the course, and the conditions of the snow and terrain.

The skier's velocity changes during the race in several ways. Firstly, the skier starts at a slower velocity and gradually accelerates as they move down the slope. This is due to the force of gravity pulling them downwards, which increases their speed.

Secondly, the skier's velocity changes as they make turns on the course. When making a turn, the skier's velocity decreases as they have to slow down in order to make the turn. Once they have completed the turn, their velocity increases again as they accelerate down the slope.

Lastly, the skier's velocity also changes due to the conditions of the snow and the terrain. For example, if the snow is packed and icy, the skier's velocity will be faster than if the snow is soft and powdery. Similarly, if the terrain is steep, the skier's velocity will be faster than if the terrain is flat.

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One of the molar concentration units is the millimolar. The symbol or abbreviation mM stands for millimolar. 1 millimolar equals 1 mol/meter³ in terms of measurement units. In terms of molar, 1 millimolar is equivalent to 0 point 001 molar.

The term "molar concentration" (also known as "molarity," "amount concentration," or "substance concentration") refers to the amount of a substance per unit volume of solution and is used to describe the concentration of a chemical species, specifically a solute, in a solution.

The number of moles per liter, denoted by the unit symbol mol/L or mol/dm3 in SI units, is the most widely used unit for molarity in chemistry. One mol/L of a solution is referred to as one molar, or 1 M.

Because most solutions' volumes only slightly vary with temperature due to thermal expansion, the use of molar concentration in thermodynamics is frequently inconvenient. Typically, temperature correction factors are introduced to solve this issue, or a concentration measure that is not temperature dependent, like molality, is used.

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Answer:

x = 69

Step-by-step explanation:

[tex]x + 111 = 180[/tex]

[tex]x = 180 - 111[/tex]

[tex]x = 69[/tex]

Answer:

69°

Step-by-step explanation:

An angle is a measure of a turn, measured in degrees or °. Angles are made up of two rays, making the sides of the angle.

There are right angles (exactly 90 degrees), acute angles (less than 90 degrees), obtuse angles (more than 90 degrees), and reflex angles (more than 180 degrees).

We can see that if there is a straight line, the angles must add up to 180°. To solve for the value of x, we can use this equation:

Therefore, the measure of angle x = 69°

Answer: Option A,C and D represents a linear equation

Step-by-step explanation:

In linear function the variable has the power raised to one.

In equation ,y=x/12 ,y=3x and y=2(2+3) all the variables has the power of 1

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The value of the missing angle 1 is 59⁰.

The value of the measure of angle 1 is calculated by applying the concept of sum of angles in a triangle and sum of angles on a straight line.

The measure of the angle adjacent to 139⁰ is determined as follows;

? + 139⁰ = 180⁰  ( sum of angles in a triangle )

? = 180 - 139

? = 41⁰

The value of the missing angle 1 is calculated as follows;

m∠1 + 41⁰ + 80⁰ = 180 ( sum of angles in a triangle )

m∠1 + 121 = 180

m∠1  = 59⁰

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Answer:

24.

Step-by-step explanation:

The pattern is clearly going up by twos.

So continuing the pattern,

1, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24

1 2  3   4 5   6   7   8   9   10  11    12   13

We can solve with composite functions just as we do variables, by substituting one function into the other.

[tex]f(x) = 3x - 5[/tex]

[tex]g(x) = x^2[/tex]

First, find [tex]f\circ g(x)[/tex] by substituting g(x) into f(x):

[tex]f(x) = 3x - 5\\f\circ g(x)=3(x^2)-5\\f\circ g(x)=3x^2-5[/tex]

Now, find [tex]f\circ g(3)[/tex]:

[tex]f\circ g(3)=3(3)^2-5\\f\circ g(3)=3(9)-5\\f\circ g(3)=27-5\\f\circ g(3)=22[/tex]

22

The measure of the arc is option (c) 140°

In geometry, an arc is a curved line that is a part of a circle's circumference. The measure of an arc can be calculated using the angle of the arc, which is measured in degrees.

In the case of EBC, the measure of the arc is 140°. This is because we can use the Angle-Side-Angle (ASA) congruence theorem, which states that two triangles are congruent if and only if two angles and the included side are equal.

In the case of EBC, we know that angle A equals 40° and angle C equals 90° so the only variable left is the measure of the arc, which is equal to 140°.

Therefore, the measure of EBC is 140°. This can be verified by drawing the triangle and measuring the arc with a protractor.

Therefore, option (c) is the right one.

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Complete Question:

What is the measure of arc  EBC when the values of Angle a nd c are 90 and 40 degree respectively.

a) 40°

b) 90°

c) 140°

d) 220°

Answer:

1 acre=43560 square feet

Step-by-step explanation:

1 acre is 43560 square feet

Answer:

Step-by-step explanation: Mean Absolute Error is a model evaluation metric used with regression models. The mean absolute error of a model with respect to a test set is the mean of the absolute values of the individual prediction errors over all instances in the test set.

Earned income refers to the money an individual earns from working for an employer, running a business or providing a service. It is considered compensation for the labor or services provided by the individual. Examples of earned income include salaries, wages, bonuses, commissions, and tips.

Unearned income, on the other hand, is income that is not directly earned through labor or services provided. Instead, it comes from investments, government benefits, or other sources of passive income. Examples of unearned income include interest income, dividends, rental income, capital gains, and social security benefits.

One of the main differences between earned and unearned income is how they are taxed. Earned income is generally subject to payroll taxes, which includes Social Security and Medicare taxes, while unearned income is generally taxed at a different rate than earned income. Another difference is that earned income is more closely tied to an individual's skills, effort, and work output, while unearned income is often influenced by factors such as market conditions, investment decisions, and government policies.

Answer:

The slope of the line of fit and its meaning for the real-world situation include the following: C. The slope is 3/5, which means for each additional donut sold, the shop is predicted to earn $0.60.

What is the point-slope form?

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

m represents the slope.

x and y are the points.

Based on the information provided, we can logically deduce the following data points on the line:

Points on x-axis = (7, 12).

Points on y-axis = (5, 8).

At data point (7, 12), a linear equation of this line in slope-intercept can be calculated by using the point-slope form form as follows:

y - 12 = (8 - 5)/(12 - 7)(x - 7)

y - 12 = 3/5(x - 7)

y = 3x/5 - 4.2 + 12

y = 3x/5 + 7.80

Mark as BRIANLIEST pls

The mode of the sample can be larger, smaller, or equal to the mode of the population.

The correct answer is A.

The mode is the most frequent value in a dataset. In a random sample, the mode can differ from the mode of the population because random sampling is subject to sampling variability. In other words, each random sample is likely to have different sample statistics than the population parameters. Therefore, it is possible for the mode of the sample to be larger, smaller, or equal to the mode of the population.

However, as the sample size increases, the mode of the sample becomes more likely to approach the mode of the population. This is because larger samples provide more information about the population and therefore reduce the impact of sampling variability.

Option B is incorrect because even if the sample is truly random, it is still subject to sampling variability, which means that the mode of the sample may not be equal to the mode of the population.

Option C is also incorrect because the mean of the population is a different statistic than the mode, and it is not necessarily related to the mode of the sample.

Option D is clearly incorrect, as the mode of a sample cannot be equal to the population size.

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After conversion of 80 ounces into gallon we get 0.625 gallons.

A fluid ounce is the U.S. popular units system.

Ounces and fluid ounces are two unlike units.

1 fluid ounce is equal to the 1.04 oz weight.

US fluid ounce contain 29.6 milliliters and British fluid ounce contain 28.4 milliliters.

Ounce expressed by notation oz.

To convert ounces (oz) to gallons,

We know that

One gallon = 128 fluid ounces.

We want to convert 80 ounces to gallons,

we can use the following formula:

80 oz ÷ 128 oz/gal = 0.625 gallons

Hence,

We get 80 ounces is equal to 0.625 gallons.

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The total number of pages in Rhett's book is 183 pages.

A solution to an equation is a number that can be substituted for the variable to provide a valid number statement.

To find the total number of pages in Rhett's book, we need to solve for p in the equation:

p + 31 = 214

First, we can isolate p on one side of the equation by subtracting 31 from both sides:

p + 31 - 31 = 214 - 31

Simplifying:

p = 183

Therefore, the total number of pages in Rhett's book is 183 pages.

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No, the comparison is not expected to be fair. The two groups being compared are not selected randomly from the same population

A population is a group of organisms of the same species that live in the same geographic area and are capable of interbreeding. The term "population" can refer to a group of animals, plants, bacteria, or any other type of living organism.

Populations can vary in size from just a few individuals to millions or even billions. The size of a population can be influenced by a number of factors, including birth rates, death rates, immigration, and emigration.

Populations also have characteristics that define their genetic makeup, such as the frequency of particular alleles or genes. This genetic diversity can influence the ability of a population to adapt to changes in its environment or to recover from disturbances, such as disease outbreaks or natural disasters.

Understanding population dynamics is important for fields such as ecology, conservation biology, and public health, as it can help us to better manage and protect populations of organisms, including our own.

No, the comparison is not expected to be fair. The two groups being compared are not selected randomly from the same population, as the physical education teacher's sample only includes students from her classes, while the football coach's sample only includes students from the football team. This could lead to potential biases and differences between the groups that may not accurately reflect the general population of students at the high school. To ensure a fair comparison, both samples should be selected randomly from the same population.

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To convert meters into miles, divied the meter value by 1609.34. Multiply when we want to convert miles into meter.

500 meters is equal to the 0.31 miles.

The symbol for meter is m.

There are 1,609.344 meters in a mile.

The word "metre" is how this unit is spelled internationally.

Both the US Customary Units and the Imperial System recognise the mile as a unit of length or distance.

The symbol for mile is mi.

There are 0.00062137 miles in a meter.

500 meters is approximately 0.31 miles.

To convert meters to miles,

You can use the following conversion:

1 mile = 1609.34 meters

Therefore,

To convert 500 meters to miles,

You can divide 500 by 1609.34:

500 meters (1609.3) meters/mile ≈ 0.31 miles

500 metres is equivalent to 0.31 miles.

Thus, rounding to two decimal places,

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The solution is, the probability of picking a boat from Virginia is 3/8

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

The formula of probability is often given as

P = no. of favorable event/ no. of total outcome

In this case, our variables are

no. of favorable event=6

no. of total outcome =16

Let's proceed to input our values and solve

P = 6/16

  = 3/8

From the calculation above the probability of picking a boat from Virginia is 3/8

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A printer company has two locations with a total of 23 employees. Then, there are 08 employees are at smaller​ location and there are 15 employees in larger location.

System of Equation:

In algebra, a system of equations consists of two or more equations and finds a general solution to the equations. "A system of linear equations is a set of equations satisfied by the same set of variables."

The systems of equations discussed above are sets of equations that find general solutions for the variables involved. The following equation is an example of a system of equations.

2x - y = 12

x - 2y = 48

Let,

L = Number of employee at larger location.

S =  Number of Employee at smaller location.

Since,

If Four times the number of employees at the larger location is four greater than seven times the number of employees at the smaller​ location.

Therefore,

    4L = 7S +4                  ------------------------- (1)

And, L+S = 23

      ⇒ S = 23- L

Putting S = 23-L in equation(1),

   4L = 7(23-L) + 4

⇒ 4L = 161- 7L + 4

⇒ 4L +7L = 161 + 4

⇒ 11L = 165

⇒ L = 15

Therefore, in the larger location there are 15 employees.

Now,

Putting L = 15 in:

S = 23 -L

S = 23-15

S = 8

Therefore, there are 08 employees in the smaller location.

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Answer:

Below

Step-by-step explanation:

The shaded fraction is 160 / 360 ths of the entire area

   160/360 * pi (5)^2 = shaded area =~ 35 in^2

Similarly , the arc is 160/360 ths of the entire circumference

       160/360 *  pi ( 2 * 5) = 13.96 = ~ 14 inches

Philippa can buy 12 packs of mini jam jars, 9 packs of lids, and 4 packs of labels without having any items left over.

To find the smallest number of packs of each item Philippa can buy without having any items left over, we need to find the least common multiple (LCM) of 12, 16, and 36. The LCM is the smallest number that is a multiple of all three numbers.

We can find the LCM by listing the multiples of each number and finding the smallest number that appears in all three lists:

Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144...

Multiples of 16: 16, 32, 48, 64, 80, 96, 112, 128, 144...

Multiples of 36: 36, 72, 108, 144...

The smallest number that appears in all three lists is 144. Therefore, the LCM of 12, 16, and 36 is 144.

To find the smallest number of packs of each item Philippa can buy, we need to divide the LCM by the number of items in each pack:

Packs of mini jam jars: 144 ÷ 12 = 12

Packs of lids: 144 ÷ 16 = 9

Packs of labels: 144 ÷ 36 = 4

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the speed of the private airplane is approximately 214.3 miles per hour. Rounding to one decimal place is not necessary but if you round it the answer will be 214 miles.

Let's call the speed of the private airplane "s". According to the problem, the speed of the commercial jet is 103 miles per hour faster than the speed of the private airplane. So, the speed of the commercial jet is:

s + 103

We know that the distance from Denver to Phoenix is the same for both planes. Let's call this distance "d".

Using the formula distance = rate x time, we can set up two equations:

For the private airplane:

d = s × 4

For the commercial jet:

d = (s + 103) × 2.7

Since both equations represent the same distance, we can set them equal to each other and solve for s:

s × 4 = (s + 103) × 2.7

4s = 2.7s + 278.1

1.3s = 278.1

s = 278.1 / 1.3

s = 214.3

Therefore, the speed of the private airplane is approximately 214.3 miles per hour.

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The equation that is used to find the number of packages is 12x + 5 = 45.  

Linear equation:

The mathematical statement that is used to find an unknown quantity is known as the Linear equation. In this, we use variables like 'x, y, z... to represent the unknown quantity or unknown number.

[ In the given problem we use variable 'x' to represent the number of packages. ]

Here we have

Ms. Wallace needs 45 juice boxes for a class trip.  

The juice boxes come in packages of 12  

Let Ms. Wallace needs to buy 'x' number of packages

Number of juice boxes in 'x' packs = 12x  

Given that Ms. Wallace already has 5 juice boxes,  

=> 12x + 5 = 45  

Therefore,

The equation that is used to find the number of packages is 12x + 5 = 45.  

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