Samuel found the difference of the polynomials.
(15x^(2)+11y^(2)+8x)-(7x^(2)+5y^(2)+2x)

Answer: 16

Step-by-step explanation: Basic multiplication

4+4=8

4+4=8

8+8=16    [16!]

A circular diagram is a pie chart.

A pie chart is a circular statistical graph used to display data.

The chart is divided into slices, with each slice representing a category or proportion of the data.

Pie charts are commonly used to show percentages or fractions of a whole.

We have,

A circular diagram.

A circular diagram is commonly referred to as a pie chart.
It is a type of graph that represents data in a circular format, with each section of the chart representing a different category or value.

The size of each section is proportional to the value it represents, and the total sum of all sections is equal to 100%.

Example:

From the pie chart,

The total color is 100.

The number of each color.

Green = 25/100 x 100 = 25

Blue = 35/100 x 100 = 35

Red = 10/100 x 100 = 10

White = 15/100 x 100 = 15

Orange = 15/10 x 100 = 15

Thus,

A circular diagram is a pie chart.

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The complete question in Englsih.

What is a circular diagram.

Points for Elephant powerful. When we remove the point for elephant, the slope line will drop, and we shouldn't just keep eliminating animals.

a) The link between gestation lengths and life expectancies would seem larger if the point for elephants in the scatterplot's upper right corner were removed. This is due to the elephant data point's status as an outlier, which means that it differs significantly from the scatterplot's other points and can significantly affect the regression line.

b) If the elephant point is eliminated, the slope of the line will decrease. This is due to the elephant point's long gestation time and long life span, which contribute to the regression line's greater slope.

c) No, we shouldn't keep eliminating creatures to make the model more robust. While the strength of the link between the variables can be strengthened by deleting outliers like the elephant point, it's critical to remember that each data point reflects a genuine observation.

d) Elephants undoubtedly had some influence. The elephant point had a considerable impact on the link between gestation times and life expectancies, as shown by the fact that deleting it resulted in a reduction in the slope of the regression line.

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The inequalities representing the two lines are y ≤ 3x + 8 and y < - 2x - 8.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

The two lines can be obtained by identifying the points.

(0, - 8) and (1, - 10) are the points of the non-dotted line.

So, m = (- 10 + 8)/(1 - 0).

m = - 2.

Now, - 8 = 0(-2) + b.

b = - 8.

y = - 2x - 8.

The points for the dotted line are, (0, 8) and (1, 11).

m = (11 - 8)/(1 - 0).

m = 3

8 = 3(0) + b.

b = 8.

y = 3x + 8.

The dotted line is y ≤ 3x + 8 and the non-dotted line is y < - 2x - 8.

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The value of x in the right triangle is 8.7 units.

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

The side of a right angle triangle can be found using trigonometric ratios or Pythagoras's theorem.

Hence, let's use Pythagoras's theorem,

c² = a² + b²

where

Therefore,

x² = 10² - 5²

x² = 100 - 25

x = √75

x = 8.66025403784

Therefore,

x = 8.7 units

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The slope and y - intercept of the line of best fit are 1.22 and -0.09 respectively.

a.

To fill the table of the residuals, we can approach it as;

residual = food waste - number of people.

3.2 - 2 = 1.4

2.5 - 3 = -0.5

8.9 - 4 = 49

4.7 - 4 = 0.7

3.5 - 4 = -0.5

4 - 4 = 0

5.3 - 5 = 0.3

4.6 - 5 = -0.4

7.8 - 5 = 2.8

3.2 - 6 = -2.8

12 - 8 = 4

b.

The equation is given as;

y = 1.22x - 0.09

The slope of the line of best fit is 1.22

c.

The y - intercept is given as -0.99

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For sum of all angles of polygon=900°, no. of sides will be 7.

What exactly is a polygon?

Polygons are two-dimensional geometric objects that have the same number of sides on all sides. The sides of a polygon are made up of straight line segments linked end to end. As a result, the line segments of a polygon are referred to as sides or edges. The place where two line segments meet is known as the vertex or corners, and an angle is generated as a result. A triangle of a polygon. A circle is a planar figure, however it is not regarded a polygon since it is curved and lacks sides and angles. As a result, we may argue that all polygons are 2d forms, but not all two-dimensional figures are polygons.

For a polygon with n no. of sides

sum of all interior angles=(n-2)*180°

Now,

As given the sum of all angles=900°

then number of sides of a polygon will be

(n-2)*180=900

n-2=5

n=7

Hence,

          For sum of all angles of polygon=900°, no. of sides will be 7.

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Answer:

10

Step-by-step explanation:

[tex]7.2\\+\\2.8\\--\\10[/tex]

10 is an integer, there is no way to express it in decimal form.

Answer: 10

Step-by-step explanation:

2.8+7.2=10

yup

Answer:

1 and 1/4 (1.25)

Step-by-step explanation:

So imagine you have 2 pizzas. Your friend wants to bring one home. Your pizzas are both in two pieces, and your friend wants to take one whole pizza and a half of the second one. In the first graph, that friend takes

1 and 1/2 (1/2 meaning one half) or 1.5 (.5 being half)

To get the fraction for one half you have to think:

- How many slices are there in each pizza?

- How can I make this a fraction?

- If it says “1” for a whole pizza how much is half going to be?

If there are 2 parts to one pizza, and only 1 of the 2 parts are taken, it is considered 1/2.

Another way you show “1/2” is by putting “.5 (0.5)” at the end of a number. You can find “.5” by doing “1 ÷ 2”

You divide one and two because there is 1 pizza and 2 parts of it.

Now that you know how to figure out the first one, the second one should be easy!

But.. for some reason, the “1/2 (.5)” that we got earlier of the second pizza is cut in half!

You can see that they took one full pizza, and half of “1/2” of a pizza!

There are two simple ways to find out what number “half of a half of a pizza” is!

For the first, you can count the blocks!

In this case, there are 4 blocks (4 slices), in a pizza. One pizza has all 4 blocks filled, meaning one whole pizza is taken by your friend, and only 1 block is filled in on the second pizza! You can say, for the second pizza, that your friend took “1/4” of a pizza.

You get this by seeing that out of 4 blocks that could be filled, only 1 is!

Which gives you the answer “1/4 (0.25)”

Or you could divide!

If you look you can see there are 2 parts where “1/2” was. If you want to find what half of “1/2” is, you could write the equation:

“1/2 ÷ 2”

The answer you get is also “1/4 (0.25)”

You divide “1/2” and “2” because you want to find what one of 2 parts of 1/2 is.

Now that you know that there is one full pizza and 1/4 of a pizza, your final answer comes out to be 1 and 1/4 (1.25) because you combine the two answers together.

Answer:

To find your answer, you will divide 252  by 123, and then multiply it by 10:

252 / 12 = 21

21 * 10 = 210

210 soft drinks are required.

Step-by-step explanation:

Hope it helps! =D

The upper quartile of the data set is, 56.

The process for combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

The values of 42, 44, 50, 54, and 56 are all marked by the box plot.

Hence, The value of upper quartile is,

⇒ Upper quartile = 3/4 (n + 1)

Where, n is number of terms.

Hence, We get;

⇒ Upper quartile = 3/4 (5 + 1)

                           = 3/4 × 6

                           = 4.5

                           ≈ 5th term

Thus, The value of Upper quartile = 56

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She practiced with a rate/speed of 17 min/day.

What is the definition of speed?

The following is the definition of speed:

The rate at which the position of an item changes in any direction.

The ratio of distance travelled to time spent travelling is described as speed. Speed is a scalar number since it has just one direction and no magnitude.

Formula for Speed

The speed formula is as follows:

s=d/t

Where,

s denotes the speed in metres per second, d the distance travelled in metres, and t the time in seconds.

Now,

Given Total time she practiced=595 minutes

Total time she practiced=5 weeks=5*7

=35 days

then rate at which she practiced per day=595/35

=17 min/day

hence,

           Brianna practiced with a rate of 17 min/day.

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The probability that a continuous random variable equals any of its values is called Continuous probability distribution.

Continuous probability distribution:

A probability distribution in which the random variable X can take on any value (which is continuous). Since there are infinitely many possible values ​​for X, the probability that X takes on any particular value is zero. So we often talk about a range of values ​​[p(X >0] = 0.50).

An absolutely continuous probability distribution is a probability distribution of real numbers with an uncountable set of possible values, such as the full interval of a solid line, where the probability of any event can be expressed as an integral. More precisely, there exists a function f: R − [0, so that for each interval[ 0,∞] ⊂ R, the probability that X belongs to [a, b] is given by the integral of f over I.

[tex]P(a\leq X\leq b) = \int\limits^a_b {f(x)} \, dx[/tex]

Since this is the definition of a probability density function, an absolutely continuous probability distribution is exactly equivalent to a probability density function. In particular, the probability that X takes any single value a (i.e. a≤X≤b) is zero because integrals with the same upper and lower bounds are always zero. If the interval [a, b] is replaced by the measurable set A, then the equivalence remains valid.

P(X ∈ A) = [tex]\int\limits^a_b {f(x)} \, dx[/tex]

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The mean value of the scores is 19.83, based on their sum and quantity of numbers.

The mean or average is calculated using the formula -

Mean = sum of all the numbers ÷ quantity of numbers.

We see that there are six numbers and hence the quantity of numbers will be 6.

Sum of all the numbers = 12 + 25 + 15 + 27 + 32 + 8

Performing addition on Right Hand Side of the equation

Sum of all the numbers = 119

Now calculating the mean of the scores by keeping the values in formula -

Mean = 119/6

Performing division on Right Hand Side of the equation

Mean of scores = 19.83

Hence, the average of scores is 19.83.

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Furthermore, Tokyo Metropolis had the highest population density among Japan's prefectures, with 6,402.6 people per square kilometer. This one was nearly 18.9 times greater than that of the state median (338.2 persons per square kilometer). In 2020, Japan had 12 cities with an inhabitants of one thousand or maybe more.

What is the world's biggest and densetly populated Japanese island?

It is home to approximately 104 million people (2010), or more than 80% of the Japanese population. Honshu is the most highly populated island (429 people per km2) along with the most economically prosperous nation on the island.

Which two towns are situated in Japan's most densely populated areas?

Osaka, Kobe, and Kyoto make up Japan's most highly populated region, with each capital of a prefecture. This region is commonly referred to as the Kansai region.

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The Longest Increasing Subsequence (LIS) problem is a classic problem in dynamic programming. Given a sequence of numbers, the problem is to find the longest subsequence in which the numbers are in increasing order. For example, given the sequence {3, 1, 5, 2, 4}, the longest increasing subsequence is {1, 2, 4}, which has length 3.

The LIS problem can be solved using dynamic programming by defining an array to store the length of the longest increasing subsequence that ends at each position in the sequence. The array is initialized to 1, and then for each position i in the sequence, the length of the longest increasing subsequence that ends at i is calculated by finding the maximum length of any subsequence that ends at a position j < i and has a smaller value than the value at i. The final solution is the maximum length of any subsequence in the array.

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AS per the measurement, the value of 5'2 in meters is 1.5748 meters.

One common unit of measurement is the foot, which is often used to measure height. However, in some scientific fields, the meter is the preferred unit of measurement.

To convert 5'2 into meters, we first need to understand the relationship between feet and meters. One foot is equal to 0.3048 meters, which means that we can convert 5 feet to meters by multiplying 5 by 0.3048. This gives us 1.524 meters.

But what about the additional 2 inches? We can convert inches to meters by dividing the number of inches by 39.37 (the number of inches in a meter). In this case, 2 inches divided by 39.37 equals 0.0508 meters.

To get the total measurement in meters, we simply add the two values: 1.524 + 0.0508 = 1.5748 meters.

Therefore, 5'2 is equivalent to 1.5748 meters.

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The sale price of the shoes is $45.

Your friend bought a new pair of shoes that had a regular price of $75. The regular price is the original or full price of the item before any discounts or promotions are applied.

Your friend said that he got a 40% discount on the shoes. A discount is a reduction in price from the regular price, often as a promotion or incentive to encourage customers to purchase the item. In this case, the discount is 40% of the regular price.

To calculate the sale price of the shoes, we need to subtract the discount amount from the regular price. The discount amount is 40% of $75, which is:

Discount amount = 40% x $75

Discount amount = $30

Now, we can find the sale price by subtracting the discount amount from the regular price:

Sale price = Regular price - Discount amount

Sale price = $75 - $30

Sale price = $45

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This statement 'During the early days of analytics, data was often obtained from the domain experts using manual processes to build mathematical or knowledge-based models' is true and not false.

During the early days of analytics, data was often obtained from domain experts using manual processes to build mathematical or knowledge-based models. Before the advent of computers and digital data storage, data was typically collected and processed manually. This often involved subject matter experts manually collecting data and performing calculations by hand to develop models and draw insights. Over time, as computing technology and data storage capabilities improved, analytics has evolved to rely increasingly on automated processes and sophisticated algorithms.

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Answer:

x+y=17

y can be 1,3,5,7 or 9

Let's start at 9

x+9=17

x=8

So the burner is 89

7, 5, 3 and 1 don't work

For example In order x+7=17, x should be 10, which is a contradiction; x is the one-digit number. If 7 doesn't work, lower numbers shouldn't work as well.

Step-by-step explanation:

The preferred method to know the price of the scooter is

The question is a percentage problem

10%

= 10 percent

= 10 / 100

= 0.1

Since the problem is about discount of 10 % .

= 1 - 0.1

= 0.9

The sale price using the factor of 0.9

= $42 * 0.9

This method is more straight forward and gives the correct answer

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The value of x is given as follows:

59º.

To obtain the value of x, we must consider that the sum of the measures of the internal angles of a triangle is of 180º.

The internal angles for the triangle in this problem are given as follows:

Hence the value of x is obtained as follows:

35 + 96 + x = 180

x = 180 - 131

x = 59º.

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Answer: 2 inches of rain

Step-by-step explanation:

Since Monday has rainfall of 0.50 inches and Tuesday 0.25, we can use this information to solve the final question. Since it rained on Monday the amount of it in three days, we can multiply 0.5 by 3 and get 1.5. For Tuesday it was 2 days so we can multiply 0.25 by 2 and get 0.5. Add them up and you get 2. Put the unit in inches.

All five answers are (1) 285.7 ft2 (2) 1056 cm2 (3) 105 mm3 (4) 108 cm3 (5) 628 mm3 in accordance with the provided assertion.

In mathematics, volume refers to the amount of space present within a specific 3D object. As an example, the dimensions of a fish aquarium are three feet long, one foot broad, and two feet height.

By increasing the length, width, and height, or 3x1x2, which also equals six, the volume is determined. Consequently, the fish tank has a 6 cubic foot size.

(1) The lateral area of a cone can be calculated using the formula L = πrℓ, where r is the radius and ℓ is the slant height. Using the given values, we have:

L = π(7)(13) ≈ 285.7 ft²

Rounding to the nearest tenth, the answer is 285.7 ft².

(2) A = B + (1/2)Pl, where B is the base area, P is the base circumference, l is the slope height, and A is the surface area, can be used to determine the surface area of a square pyramid. Since the pyramid's foundation is square, we have:

B = (24)² = 576 cm²

The perimeter of the base is 4 times the base length, so we have:

P = 4(24) = 96 cm

Now we can use the formula to find the surface area:

A = 576 + (1/2)(96)(16) = 1056 cm²

Therefore, the surface area of the square pyramid is 1056 cm².

(3) The volume of a rectangular prism can be calculated using the formula V = lwh,

where

l is the length

w is the base

h is the height

V is the volume.

Substituting the given values, we have:

V = (5)(7)(3) = 105 mm³

Therefore, the volume of the rectangular prism is 105 mm³.

(4) The formula V = (1/3)Bh, where B is the base area, h is the height, and V is the volume, can be used to determine the volume of a square pyramid. Since the pyramid's foundation is square, we have:

B = (9)² = 81 cm²

Now we can use the formula to find the volume:

V = (1/3)(81)(4) = 108 cm³

Therefore, the volume of the square pyramid is 108 cm³.

(5) The volume of a cone can be calculated using the formula V = (1/3)πr2h, where r is the radius, h is the height, and V is the volume. Substituting the given values, we have:

V = (1/3)π(10)²(6) ≈ 628.3 mm³

Rounding to the nearest whole number, the answer is 628 mm³.

Therefore, the volume of the cone is 628 mm³.

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We converted the measurement of 6 ft x 6 ft to inches using a conversion factor of 12 inches per foot, resulting in a total area of 5,184 square inches.

Measurement is an important aspect of our daily lives, and it involves quantifying the size, length, or dimensions of an object or space. Different units of measurement are used to express the size or length of an object, depending on the context or purpose.

The measurement of 6 ft x 6 ft is the size or area of a square-shaped object, where each side is 6 ft long. To convert this measurement to inches, we need to use a conversion factor that relates feet to inches. One foot is equal to 12 inches, so we can multiply each side of the square by 12 to get the corresponding measurement in inches.

6 ft x 12 inches/ft = 72 inches

Therefore, the measurement of 6 ft x 6 ft in inches is 72 inches x 72 inches, which equals 5,184 square inches. This means that if we had a square-shaped object with sides measuring 6 feet, the total area of the object would be 5,184 square inches.

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The requried area of the larger triangle is 81 cm².

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not greater than 180°.

Here,
When two triangles are similar, the ratio of their corresponding sides is the same, and the ratio of their areas is equal to the square of this side ratio.

In this case, the ratio of the sides of the larger triangle to the sides of the smaller triangle is 3/2 (since it is given that the ratio of the sides is 2:3). Therefore, the ratio of the areas of the larger triangle to the area of the smaller triangle is (3/2)² = 9/4.

Given that the area of the smaller triangle is 36 cm^2, we can use the area ratio to find the area of the larger triangle:

Area of larger triangle = (9/4) × (Area of smaller triangle)

= (9/4) × 36 cm²

= 81 cm²

Therefore, the area of the larger triangle is 81 cm².

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The other two exterior angles are the ones in option 4.

105° and 115°

Remember two things:

You can use any of these two to find the answer, I will use the first one.

If one of the exterior angles is 140°, then the only option that adds up to 360° is the  lastoption

140° + 115° + 105° = 360°

So that is the correct option.

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The approach used to test if the function is even or odd is as follows: if it is an even function, it will be symmetrical around the y-axis: f(x)=f (-x). Odd functions are also symmetric about the x- and y-axes: f(x)=-f (-x).

When its input is changed to its negative, the output of an even function remains intact.

An odd function is one whose output changes sign when its parameter is made negative.

We may plot a function and examine its graph to determine if it is even or odd. The function is an even function if the graph is symmetrical around the origin (x=0, y=0). The function is an odd function if the graph is symmetrical around the y-axis (x=0).

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The given function[tex]Y=20(1+0.025)^x[/tex]  is an exponential gr.

What is an exponential function?

An exponential function is a mathematical function of the form [tex]f(x) = a^x[/tex], where "a" is a constant and "x" is the input variable. These functions are commonly used to model situations that involve continuous growth or decay.

In the given example you provided[tex]Y=20(1+0.025)^x[/tex] represents growth because the base of the exponential term, 1+0.025, is greater than 1. As x increases, the exponential term gets larger and the value of y increases, which indicates growth.

Hence, the given function,[tex]Y=20(1+0.025)^x[/tex]  is exponential growth.

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Therefore, the probability that a truck drives between 92 and 144 miles in a day is 0.7454, or about 74.54% (rounded to four decimal places).

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1. An event with probability 0 is impossible, while an event with probability 1 is certain. In probability theory, an event is any outcome or set of outcomes of a random process or experiment. The probability of an event is determined by calculating the ratio of the number of ways the event can occur to the total number of possible outcomes. Probability is used in a wide variety of fields, including mathematics, statistics, physics, engineering, finance, and economics, to model and analyze random phenomena and make predictions about future events.

Here,

To solve this problem, we need to standardize the given values using the formula:

z = (x - μ) / σ

where z is the standard normal random variable, x is the observed value, μ is the mean, and σ is the standard deviation.

For x = 92:

z = (92 - 110) / 25 = -0.72

For x = 144:

z = (144 - 110) / 25 = 1.36

Using a standard normal distribution table or a calculator, we can find the probability that a standard normal random variable falls between -0.72 and 1.36:

P(-0.72 < z < 1.36) = 0.7454

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