how can you use proportional and nonproportional linear relationships to solve problems

Answer:

Poland lost the highest percentage

Answer:

Poland lost the highest percentage of their country's population in the war

Step-by-step explanation:

In the graph it can be clearly seen that Poland had the highest loss of civilian lives during the entire war.

Answer:

Below

Step-by-step explanation:

(x+2)^2   is just    (x+2)(x+2)   factored  

The angle that the pilot should turn in order to fly directly to the airport is given as follows:

x = 28.2º.

The three trigonometric ratios are defined as follows:

For the angle x, we have that:

Hence the angle is obtained applying the tangent as follows:

tan(x) = 105/196

x = arctan(105/196)

x = 28.2º.

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The minimum number of x intercepts is 1.

( Table attached)

What is the x-intercept?

The intersection of a function or equation's graph with the x axis is known as the x intercept. This can be compared to a point having a value of 0.

For any given curve, the x-intercept is a coordinate that is plotted on the x-axis. To put it another way, the x-intercept is the value of the x coordinate at the point where the graph crosses the x-axis, or we can say that it is the value of the x coordinate at a point where the value of the y coordinate equals zero.

The minimum number of x intercepts is 1.

With a positive leading coefficient an odd degree polynomial will start negative and end positive. With a negative leading coefficient an odd degree polynomial will start positive and end negative.

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Stratified Sampling separates the population into nonoverlapping groups. By using specific criteria to split the population, we may use this strategy to draw a proportional random sample from each division.

The population is divided into non-overlapping groups or strata, and a proportional simple random sample is taken from each stratum to create a stratified sample. Each group's members ought to have some things in common. We must choose the number of people to choose from each stratum after the strata have been established. Here, the proportionality of the chosen number is crucial. In order to make the characteristic of interest more homogeneous inside a stratum than between strata, strata are based on information other than the characteristic being measured that is known to or thought to fluctuate with the characteristic of interest. Hence, strata can be defined based on any property that explains variation in the characteristic of interest.

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Answer:

p = 6.95 + (0.95 × t)

Step-by-step explanation:

A function rule explains how to convert an input value (x) into an output value (y) for any given function.

To get the total price (p) we need to add the cost of the pizza itself, and add each topping. The part of the equation (0.95 × t) can solve for the price of each topping, so we add that on.

The value of x and y are x=[tex]\sqrt{2}[/tex] and y=2, the correct option is B.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

We are given that;

The side of triangle =[tex]\sqrt{2}[/tex]

Now,

x=[tex]\sqrt{2}[/tex]

Since two sides of an isosceles triangle are equal

By pythagoras theorum

y^2= 2+2

y^2=4

y=2

Therefore, by pythagoras theorum the answer will be 2.

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The line of best fit can be used to make predictions about the response variable based on the predictor variables. It can also be used to identify correlations between variables, as well as to estimate the strength of those correlations.

A. Line of Best Fit

A regression line is a statistical tool used to predict the value of a response variable based on the value of one or more predictor variables. It is also known as a line of best fit because it is used to show the best fit of a given data set. The line of best fit is a straight line that best represents the data by minimizing the sum of the squared distances between the observed data points and the line. The line of best fit can be used to make predictions about the response variable based on the predictor variables. It can also be used to identify correlations between variables, as well as to estimate the strength of those correlations.

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The metric measurement will you use when telling your hairdresser how much to take off the ends is centimetres (cm).

The decimalized meter-based system of measurement that had been adopted in France in the 1790s was replaced by the metric system. The International System of Units (SI), which was invented/created in the middle of the 20th century with the help of an international standards body, was the historical culmination of the development of these systems.

The term "metrication" refers to the adoption of the metric system. The historical development of metric systems has led to the acceptance of a number of principles. A single base unit of measurement expresses all of nature's essential dimensions. More and more often now, natural principles rather than replicas of physical artifacts are used to define base units.

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Therefore, the speed of the boat for the first part was 10 mph, and the speed of the boat for the second part was 7 mph.

Speed is the measure of how quickly something or someone is moving. You can determine an object's average speed if you know how far it travelled and how long it took. Distance times speed equals speed.

Let's call the speed of the boat for the second part "x" mph. Then, according to the problem, the speed of the boat for the first part is "x+3" mph.

Let's also call the distance across the lake "d" miles.

Using the formula distance = rate × time, we can set up two equations based on the information given in the problem:

For the trip across the lake:

d = (x+3) × 7

For the trip back across the lake:

d = x × 10

Since both equations equal "d," we can set them equal to each other and solve for "x":

(x+3) × 7 = x × 10

7x + 21 = 10x

21 = 3x

x = 7 mph

So the speed of the boat for the second part is 7 mph. To find the speed of the boat for the first part, we can add 3 mph to get:

x+3 = 7+3 = 10 mph

Therefore, the speed of the boat for the first part was 10 mph, and the speed of the boat for the second part was 7 mph.

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50 milliliters (ml) is equivalent to 1.69 fluid ounces (oz). To convert milliliters to fluid ounces, you need to use the conversion factor of 0.03381402 fluid ounces per milliliter.

This means that you can multiply the number of milliliters by this conversion factor to get the equivalent volume in fluid ounces. The conversion between milliliters and fluid ounces is commonly used in the measurement of liquids, especially in cooking and baking recipes.

Some recipes may use milliliters as the standard unit of measurement, while others may use fluid ounces or other units. Being able to convert between different units of measurement is important to ensure accurate measurement and a successful outcome in the recipe.

It's worth noting that fluid ounces are a measure of volume, while ounces can also be a measure of weight. In the United States, fluid ounces are commonly used to measure the volume of liquids, while ounces are used to measure the weight of both solids and liquids.

In summary, 50 milliliters is equal to 1.69 fluid ounces, and understanding how to convert between different units of measurement is important in cooking, baking, and other applications that involve measuring liquids.

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The value of the expression 18 - (16 • 12) is -174.

To evaluate the expression 18 - (16 • 12), we need to follow the order of operations, also known as PEMDAS. According to PEMDAS, we first perform any calculations inside parentheses, then evaluate exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.

In this expression, we have the operation of multiplication inside parentheses. So, we start by evaluating 16 • 12, which equals 192.

Now, we can rewrite the expression as 18 - 192.

Next, we perform the subtraction, which gives us -174.

Therefore, the value of the expression 18 - (16 • 12) is -174.

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Trigonometry equation solver is used to solve mathematical expression with an equality between two elements containing unknown variables and trigonometric functions.

The relationships between the lengths and angles of triangles' sides are the subject of this area of mathematics. A trigonometric equation is one that has one or more ratios of unknown trigonometric angles. The ratios of sine, cosine, tangent, cotangent, secant, and cosecant angles are used to express it.

A trigonometric equation is cos2 x + 5 sin x = 0, for instance. The term "solutions of the given trigonometric equation" refers to all feasible values that fulfil the given trigonometric equation.

sin²A + cos²A = 1

sec²A – tan²A = 1

cosec²A – cot²A = 1

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The area of the shaded region is 435.375 mm². The solution has been obtained by using the concept of area of figure.

What is area?

Area is the amount of space a two-dimensional figure takes up. The standard unit of area is the square, which is typically expressed as square inches, square feet, etc.

We are given an area of a square with a quarter circle outlined on it.

Area of shaded region = Area of square - area of quarter circle

So, using this, we get

⇒Area of shaded region = (45 * 45) - 1/4π (45 * 45)

⇒Area of shaded region = 2025 - 506.25π

⇒Area of shaded region = 2025 - 506.25 * 3.14

⇒Area of shaded region = 2025 - 1589.625

⇒Area of shaded region = 435.375 mm²

Hence, the area of the shaded region is 435.375 mm².

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Since, there are multiple questions so, the question answered above is attached  below

The mode would not change if the number 24 were added to the set, as it is still the number that appears most frequently in the set.

What is a mode in statistics?

In statistics, the mode is the value that appears most frequently in a set of data. In other words, it is the value that occurs with the highest frequency.

For the set of 5 numbers given: 24 58 24 24 53, the mode is 24 because it appears three times, which is more than any other number in the set.

If the number 24 were added to the set, then the set would become: 24 58 24 24 53 24. In this case, the mode would still be 24 because it still appears most frequently, now occurring four times in the set.

Hence, the mode would not change if the number 24 were added to the set, as it is still the number that appears most frequently in the set.

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Answer:

26 Students

Step-by-step explanation:

4% is also 0.04 multiplied by the number of students. 650 * 0.04 = 26

200 pounds is approximately equal to 90.7185 kg ( rounded to four decimal places )

To convert 200 pounds to kg, we can use the following formula:

1 pound = 0.453592 kg

The conversion factor is 0.453592

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

Therefore,

The mass in kg = conversion factor × The mass in pounds

Substitute the values in the equation

The mass in kg = 0.453592 × 200

Multiply the numbers

= 90.7185 kg  ( rounded to four decimal places )

Therefore, 200 pounds is 90.7185 kg

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The percent of decrease from the original number to the final number is 25%. Percentage is count of a quantity per 100 quantities. The percent of decrease from the original number to the final number is 25%

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

Suppose that the number in consideration be N

Then, we get:

Increased number = N + 50% of N

Since 50% of N is: ,

thus, the increased number = N + N/2 = 3N/2

Now this result is decreased by 50%

Decreased number = result - 50% of  result

Since 50% of result is:

Thus, Decreased number = 3N/2 - 3N/4 = 3N/4

Let us suppose that the original number N is decreased y% to get 3N/4(the final number)

Then,

3N/4 = N - y% of N

y% of N is calculated as:

Thus, we get:

Thus, the original number N is decreased y% = 25% to get 3N/4(the final number)

Thus, The percent of decrease from the original number to the final number is 25%.

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Answer:

Estimate: 22,400

Actual Product: 21,828

Step-by-step explanation:

To estimate the product of 68 and 321 by rounding to the nearest ten, you can round 68 to 70 and round 321 to 320. Then you can find the product of 70 and 320:

70 × 320 = 22,400

This is an estimate of the actual product.

To find the actual product, you can multiply 68 and 321:

68 × 321 = 21,828

Therefore, the estimate is 22,400 and the actual product is 21,828.

The converted value of 118pounds to kilograms is equal to ( 53.5239 ) kilograms ( round upto four decimals )

To convert 118 pounds to kilograms :

First write the standard relation between pounds and kilograms:

1 pounds = 0.453592 kilograms

Now multiply by the required value on both the side of the equation to get the converted value,

⇒ 118 pounds = ( 118 × 0.453592  ) kilograms

⇒ 118 pounds =  ( 53.523856 ) kilograms

⇒ 118 pounds =  ( 53.5239 ) kilograms ( round upto four decimals )

Therefore, the required value of 118 pounds to be converted into kilograms is equal to ( 53.5239 ) kilograms ( round upto four decimals ).

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The correct answer is C. The Mode.

Data is the collection of data term that is organized and formatted in a specific way it's typically contains fact observation or statistics that are collected through a process of measurement or research data set can be used to answer question and help make informed decision they can be used in a variety of ways such as to identify trends on cover patterns and make prediction.

This measure of centre is most meaningful when the data is qualitative because it shows the value that appears most frequently in the data set. The mode can be used to identify the most popular item or most commonly occurring outcome. It is the only measure of centre that can be used for qualitative data, as the other measures (mean, median, and range) require numerical data.

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The factor tree shows how 216 can be factored into its prime factors.

216 = [tex]2^3 \times 3^3[/tex]

In order to construct a factor tree for 216, we first identify any two of its components before further decomposing those factors into other factors until we arrive at the prime factorization. One potential factor tree for 216 is shown below:

   216

    /   \

   6    36

  / \    / \

 2   3  6   6

    / \    / \

   1   3  2   3

Beginning with 216, we can see that it can be divided into two components of 6 and 36, making it divisible by 6. These factors are then further dissected until their prime factorizations are reached, which are:

6 = 2 x 3

36 = 2 x 2 x 3 x 3

We obtain the prime factorization of 216 by combining these prime factors:

216 = 2 x 2 x 2 x 3 x 3x 3

216 = [tex]2^3 \times 3^3[/tex].

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Answer:

Below

Step-by-step explanation:

See image.....the perpendicular slope was calculated incorrectly ....

The value of measuring mass 145 kilograms to pounds after conversion as per standard measurements  is equal to kilograms  319.7 pounds ( round off to one decimal )

Kilograms and pounds are related in standard form as given below :

1 kilograms = 2.20462 pounds ___(1)

Substitute the value 145 kilograms in (1) for the conversion into pounds form we have :

⇒ (  145 ) kilograms = ( 145 multiply to 2.20462 ) pounds

⇒ 145 kilograms = 319.67 pounds

Finally ,

145 kilograms = 319.7 pounds ( round off to one decimal )

Therefore, after conversion the given unit of mass kilograms into pounds is  145 kilograms = 319.7 pounds ( round off to one decimal ).

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Answer:

PLEASE MARK BRAINLIEST.

Step-by-step explanation:

Notice how the triangle's side lengths are scaled up by a factor of 2. This means that FH*2=x. Solving for x, we get that x=6*2= 12 units.

The value of 152 centimeter converted to feet is simply done by dividing the length value by 30.48 so we get 152 cm equal to 4.98 feet.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

Use the following two formulae to translate from cm to feet and inches:

1 cm equals 0.3937 inches.

and

12 inches make one foot.

It goes like this:

70.86614 inches are equal to 180 cm (180 x 0.3937 inches).

60.86614 div. 12 = 5 and 60.86614 mod. 12 = 10.86614

hence, 180 centimetres equal 5 ft. 10.86614 inches.

To have this tool calculate something for you, input 180 cm above.

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Table 4 shows proportional relationship between x and y.

If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional. If equivalent elements in two sequences have a constant product, also known as the coefficient of proportionality, then the two sequences are inversely proportional.

The proportionality is given by the following equation:

y = kx

For table 1 substitute the value of x = 40 and y = 8.

8 = k (40)

k = 1/5

Table 1 does not follow the proportionality for all points hence option 1 is incorrect.

Similarly, table 2 and table 3 do not follow the proportionality for all points.

For table 4, substituting the value we have:

2 = k4

k = 1/2

The proportionality is followed for all the values.

Hence, table 4 shows proportional relationship between x and y.

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The area of the base is 0.7547 m², the curved surface area is 2.201 m², and the volume is 0.630 m³.

To calculate the area of the base, we use the formula for the area of a circle:

Area of base = πr²

where r is the radius of the circle.

Area of base = π(0.49m)²

Area of base = 0.7547 m²

To calculate the curved surface area, we first need to calculate the slant height of the poly tank. We can use the Pythagorean theorem to find this value:

Slant height = √(height² + radius²)

Slant height = √(0.9m² + 0.49m²)

Slant height = 1.05 m

Now we can use the formula for the curved surface area of a cylinder:

Curved surface area = 2πrh

where r is the radius of the cylinder and h is the height of the cylinder.

Curved surface area = 2π(0.49m)(0.9m)

Curved surface area = 2.201 m²

To calculate the volume of the poly tank, we use the formula for the volume of a cylinder:

Volume = πr²h

Volume = π(0.49m)²(0.9m)

Volume = 0.630 m³

Therefore, the area of the base is 0.7547 m², the curved surface area is 2.201 m², and the volume is 0.630 m³.

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