Se consideran los vectores u (-3,2) y v (5,1). Calcula gráficamente y utilizando las coordenadas del vector w= 2u – v

The number of green and black marbles will be 15 and 20 black marbles respectively.

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.

We have the following information:

5 red marbles

6 blue marbles

3 green marbles

4 black marbles

2 yellow marbles

Total marble = 20 marbles

The number of green marbles:

= 3/20 × 100

= 15

The black marbles will be:

= 4/20 × 100

= 20

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Answer: A problem is said to be intractable if there is no efficient algorithm to solve it.

Intractable problems are common. We need to discuss how we approach it when we actually encounter it.

Step-by-step explanation:

How many colours do you need to colour a graph such that no adjacent vertices are of the same colour showed in the image below?

Conclusion : Provided the graph with a large number of vertices, we see that we are again faced with resorting to a systematic tracing of all paths, comparison of the neighbour's colours, backtracking, etc resulting in exponential time complexity once again.

Answer:

x ≥ 2

Step-by-step explanation:

the solid circle at 2 indicates that x can equal 2

the arrow points to the right indicating values of x greater than 2 , then the inequality being represented by the number line is

x ≥ 2

There are 10 integers that satisfy 0 < a < 100.

What are integers?

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.

Here, we have

Given: When working modulo m, the notation a⁻¹ is used to denote the residue b for which ab = 1 (mod m), if any exists.

We have to find integers that satisfy 0 < a < 100.

a(a − 1)⁻¹ ≡  4a⁻¹ (mod 20)

a ≡ 4a⁻¹(a − 1)(mod 20)

a² ≡ 4(a-1)(mod 20)

a² - 4a + 4 ≡ 0(mod 20)

(a - 2)² ≡ 0(mod 20)

a = 2 + 10n | for n = (0, 1, 2, 3.....9)

Hence, there are 10 integers that satisfy 0 < a < 100.

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Answer:

14 minutes

Step-by-step explanation:

We can represent Xavier's running in the following ratio using the given information:

distance : time

13 miles  :  182 minutes

To get the answer to this problem, all we have to do is divide both sides of the ratio by 13, so that the left side is 1 mile.

[tex]13 \textrm{ miles} : 182\textrm{ minutes}\\\overline{\ \ \ \ 13 \ \ \ \: } \ \ \: \overline{\ \ \ \ \ \ \, 13 \ \ \ \ \ \ }[/tex]

1 mile     :   14 minutes

It takes Xavier 14 minutes to run 1 mile.

The answer is D) If one angle is a right angle, then the frame must be rectangular,

An angle is a measure of the amount of rotation between two lines or planes. It is measured in degrees or radians. Angles are formed by the intersection of two lines, called the sides of the angle, and a point, called the vertex of the angle. There are different types of angles such as acute angle, right angle, obtuse angle, and straight angle.

A rectangle is a four-sided polygon with four right angles. It has opposite sides that are parallel and congruent, and the opposite angles are also congruent. A rectangle can be defined by its length and width or by the coordinates of its vertices. Rectangles are a special case of parallelograms, which have opposite sides parallel but not necessarily congruent. The special properties of rectangles make them a popular shape in design and construction, such as in building and engineering.

A rectangle is defined as a four-sided polygon with four right angles. Opposite sides of a rectangle are congruent, but adjacent sides may or may not be congruent. Therefore, A and B are not sufficient to prove that the frame is a rectangle. Also, two adjacent angles being supplementary does not guarantee that the frame is a rectangle. The only way to be sure that the frame is a rectangle is if it has one right angle, this is the only way to ensure that all angles are right angles. Therefore, D) is the correct answer.

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Answer: 24 bunches of cilantro

Step-by-step explanation:

1. Set a proportion with the given information, which should be 1/1.60 = x/38.40.

2. Cross multiply. Now the equation should 1.60x = 38.40.

3. Divide by 1.60 to get x alone to find out how many bunches of cilantro you can buy with $38.40. This should give you x = 24 bunches of cilantro.

Answer:

24 bunches

Step-by-step explanation:

The person below is correct

Sample Parameter: The population's weight and the average weight of the cereal box The grain on the line's average weight is the parameter.

The value that consistently appears in a given set is known as the mode in statistics. The mode or modal value is the value or number that appears most frequently in a data set and has a high frequency. Along with mean and median, there are three other ways to measure central tendency. The mode can be calculated quite easily. After sorting the numbers in a set according to their order—lowest to highest or highest to lowest—count how many times each number appears in the group.

given

Example: 50th box of cereal

All cereal boxes are lined up in the population

Example Parameter: The cereal box's average weight

Population metric: The cereal on the line's average weight

Sample Parameter: The population's weight and the average weight of the cereal box The grain on the line's average weight is the parameter.

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The dimensions of the original sandbox was 2 ft X 2 ft..

Let, The original has a length of Xft and a width of Xft

The area of original sandbox is X^2 ft^2

As per given statement,

The new sandbox would have a length of (X+4)ft and a width of (X+5)ft

So, the area of new sand box would be: (X+4)(X+5) ft^2

Given, the area of new sandbox will be 38 square feet greater than the area of the original sandbox.

so,

X^2+38 = (X+4)(X+5)

or, X^2+38 = X^2 + 9X + 20

Eliminating X^2 from both side

0r, 9X+ 20 = 38

0r, 9X = 18

0r, X = 18/9 = 2

So, we assumes that the original has a length of Xft and a width of Xft

then the dimensions of the original sandbox was 2 ft by 2 ft.

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The smallest whole number that can be divisible by both 176 and 342 is 30096.

To find out the least whole number that is divisible by two numbers, we have to find out the LCM. LCM is the least common multiple. This is done by factorization. We have to factorize both numbers. Prime factorization means we have to write the number as a product of prime numbers.

                   176 =  2×2×2×2×11= 2⁴× 11

                   342 = 2×3×3×19 = 2 × 3² × 19

According to the prime factorization method, we have to multiply the highest powers.

So  LCM = 2⁴×  3²× 11 ×19

               = 30096

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On solving the provided question we can say that - here in equation we have [tex]y = 160+ 2 *t= > y = 160 + 2X 30 = > y= 160+ 60 = > y = 220 pounds[/tex]

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

[tex]y = 160+ 2 *t\\y = 160 + 2X 30\\y= 160+ 60\\y = 220 pounds[/tex]

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Answer:

Below

Step-by-step explanation:

125 kg   *  2.204 pound/kg = 275.5 pounds

Answer:

D. 275.5 pounds

Step-by-step explanation:

1 kg = 2.204 lbs

=> 125 kg = (125 kg)(2.204 lbs/1 kg)  = 275.5 lbs

Answer:

Step-by-step explanation:

You have peanuts and an 80-20 almond-peanut mix, and you want to know how many pound of each are needed for 5 lb of a 60% peanut mix.

The system of equations relating the pounds of peanuts (p) and the pounds of almond mix (m) will describe the total mixture weight, and the weight of the peanuts.

  p + m = 5 . . . . . . total mixture weight is 5 lb

  p + 0.20m = 0.60(5) . . . . . weight of peanuts in the 60% peanut mix

We can subtract the second equation from the first to eliminate the variable p:

  (p +m) -(p +.2m) = (5) -(.6)(5)

  0.8m = 0.4(5) . . . simplify

  m = 2.5 . . . . . . . . divide by 0.8

  p = 5 -m = 2.5

The solution to the system is 2.5 lb peanuts and 2.5 lb mixture.

The area occupied by the semicircle, rectangle, and right-angled triangle in the figure is 51.63 m3.

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric forms. The name given to a triangle with the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. Triangle angles add up to 180 degrees when combined together.

given

Three shapes—a rectangle, a triangle, and a semicircle—make up the figure.

Triangle + rectangle + semicircle together make up the figure's surface area.

Triangle's area is equal to 1/2 * 3 * 5.

Triangle's surface area is 15/2.

Triangle's surface area is 7.5 m3.

Rectangle area equals length times width

Rectangle's area is equal to 6 x 5.

30 m2 is the rectangle's area.

Semicircle area equals πr²/2

Semicircle's area is equal to π(3)²/2

Semicircle's area is equal to 3.14(9)/2.

Semicircle's area is equal to 3.14 x 4.5.

Semicircle's surface area is 14.13 m2.

Area: 30 + 14.13 + 7.5

The area occupied by the semicircle, rectangle, and right-angled triangle in the figure is 51.63 m3.

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Answer:g

Step-by-step explanation:

g

Answer:

x + 18

Step-by-step explanation:

The variable is going to be the amount of money Jason has before his grandmother gives him money.

That variable is x.

Then, his grandmother gives him $18. The $18 would be added to the amount of money that Jason already has.

The expressions would be x + 18.

actual measures : model measures = 12 : 1 .

In mathematics, a ratio shows how many times one number contains another. The comparison or simplified form of two quantities of the same kind is referred to as a ratio. This relation gives us how many times one quantity is equal to the other quantity. In simple words, the ratio is the number that can be used to express one quantity as a fraction of the other ones.

The two numbers in a ratio can only be compared when they have the same unit. We make use of ratios to compare two things. The sign used to denote a ratio is ‘:’.

A ratio can be written as a fraction, say 2/5. We happen to see various comparisons or say ratios in our daily life.

Given,

Actual sign measures 12 inches on each side

Jason's model sign measures 1 inch on each side.

Ration between actual to model sign measurement=

Measurement of actual sign / Measurement of model sign

= 12/1

Ratio = 12:1

Hence, the ratio between actual to model sign measurement is 12:1.

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Answer:

g(- 6) = 11

Step-by-step explanation:

substitute x = - 6 into g(x) , that is

g(- 6) = - (- 6) + 5 = 6 + 5 = 11

Answer:

11

Step-by-step explanation:

g(x) = -x + 5

Let x = -6

g(-6) = -(-6) + 5

         =6+5

         =11

y = − 2 is a horizontal line that crosses the -axis at -2.

Now, According to the question:

Let's know:

What is Horizontal lines?

If we are given the equation of y equal to a number, our graph will be a horizontal line. Is this equation a function? The answer would be yes since it passes the vertical line test. The vertical line test tells us if we draw a vertical line through any point of the graph and it goes through only one point at each line, then it is a function. If it passes through more than one point, it does not. The slope of a horizontal line is zero.

The given equation is Y = -2

y = 2 is a horizontal line that crosses the -axis at 2.

=>  y = − 2 is a horizontal line that crosses the -axis at -2.

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Answer: B

Step-by-step explanation:

Correlation tells us the relationship of 2 variables. Looking at the graph, the data appears to going down, as we read graphs from left to right. We can automatically eliminate C and D, since we have determined going down. We know it's also not A because if the correlation is constant, then all the dots would be lined up, and not scattered around. Since the dots are going down, this tells us that it is a negative correlation. Hence, B is the answer.

Answer:

B. negative correlation

Step-by-step explanation:

if r(x) = x² and r(x) = 4, then the value of x = ± 2

Equal means same in all aspects, whereas equivalent means similar but not identical. For example, 2 is said to be equal to 2 but equivalent to 1 + 1.

For example y = x+5 and the same y = 2x+7

then we can say that x+5 Is also equal to 2x+7

2x+7 = x+5

then x = -2

similarly r(x) = x²

thesame r(x) = 4

this means that x² = 4

solving for x

we find the square root of both sides

√x² = √4

x= ±2

It is ± because square root value as two possible values of either both positive or both negative.

Therefore the value of x is ±2

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a) The number of traders who sell only one fruit is given as follows: 88.

b) The number of traders who sell only two fruits is given as follows: 9.

The amounts are obtained using Venn sets in the context of this problem.

The sets are given as follows:

10 sell all three fruits, hence:

A ∩ B ∩ C = 10.

15 vendors sell apples and mangoes, hence:

(A ∩ C) + (A ∩ B ∩ C) = 15

(A ∩ C) = 5.

14 vendors sell apples and oranges, hence:

(A ∩ B) + (A ∩ B ∩ C) = 14

(A ∩ B) = 4.

Hence the number who sell two of them is of:

(A ∩ B) + (A ∩ C)  = 4 + 5 = 9.

50 vendors sell mangoes, hence:

C + (A ∩ C) + (A ∩ B ∩ C) = 50

C = 35.

46 vendors sell oranges, hence:

B + (A ∩ B) + (A ∩ B ∩ C) = 46

B = 32.

40 vendors sell apples, hence:

A + (A ∩ B) + (A ∩ C) + (A ∩ B ∩ C) = 40.

A + 9 + 10 = 40

A = 21.

Hence the number of vendors who sell only one fruit is given as follows:

A + B + C = 21 + 32 + 35 = 88.

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The 3 horizontal line refers the equivalent relation.

The term horizontal line in math defined as a straight line that is mapped from left to right and it is parallel to the X-axis in the plane coordinate system.

Here have to find the meaning of 3 horizontal line.

As per the definition of horizontal line, the three horizontal line also known as triple line defines the equivalent relation of the term.

Here the equivalent that is not the same as 'equals'

Where the double bar is more common and generally implies equality on the other hand the triple bar or equal sign with three lines means congruent or, more generally, an arbitrary equivalence relation.

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Answer:

25.6 grams of the second ingredient (25% protein) to make 28 grams of the mixture that is 30% protein.

Step-by-step explanation:

To make 28 grams of a substance that is 30% protein, Becky will need to mix together different ingredients to get the desired amount of protein.

Let's call the amount of the first ingredient (50% protein) "x" and the amount of the second ingredient (25% protein) "y".

We know that:

The total amount of the mixture is 28 grams

The mixture is 30% protein

The first ingredient is 50% protein

The second ingredient is 25% protein

We can set up the following equations to represent the problem:

x + y = 28 (the total amount of the mixture is 28 grams)

(0.50)x + (0.25)y = 0.30(28) (the mixture is 30% protein)

Now we can use the first equation to solve for one variable in terms of the other. If we solve for y, we get:

y = 28 - x

We can substitute this into the second equation:

(0.50)x + (0.25)(28-x) = 0.30(28)

Which gives us:

0.50x + 7 - 0.25x = 8.4

And further simplifying

0.25x = 0.6

x = 2.4

Now we know that the first ingredient, which is 50% protein, makes up 2.4 grams of the mixture. We can use this information to find the amount of the second ingredient:

y = 28 - x = 28 - 2.4 = 25.6 grams

So, Becky needs to use 2.4 grams of the first ingredient (50% protein) and 25.6 grams of the second ingredient (25% protein) to make 28 grams of the mixture that is 30% protein.

Therefore ,A language being infinitive is consequently required but not sufficient for undecidability, according to the solution to the provided problem of infinite.

The ideas of zero and infinity are related, although evidently, zero is not the same as infinity. Instead, if N/Z set  exists, and N is any positive number, the quotient grows indefinitely as Z approaches 0. Therefore, it is obvious that N / 0 is limit- less.

Here,

Regular languages are all finite languages. Some of the infinite languages are common. Only infinite languages have an undecidability limit.

There must be specific language strings that cause the TM to fail for the language to be undecidable. In fact, such strings must exist indefinitely (otherwise, the poorly behaved ones could be handled by special-case logic).

Thus, undecidability requires an is infinite language but does not prove it.

Therefore ,A language being infinitive is consequently required but not sufficient for undecidability, according to the solution to the provided problem of infinite.

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Answer:

x+7+3y

Step-by-step explanation:

You just remove the parentheses in this case since you don't have to change any of the operations.  

Answer:

Step-by-step explanation:

x+7+3y simplifed

The length of the rope is  2√29 meters.

What is an isosceles triangle?

An isosceles triangle has two equal sides as well as two equal angles. The Greek words iso (same) and skelos are the source of the name (leg). An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal.

Given that the distance between two trees is 2 meters. A boy hangs on a rope tied to the trees in the middle of the rope.

it sags so that the center is 2 meters below the level of the ends.

Thus it forms an isosceles triangle. △ACD and △BCD are two right triangles.

Since △ABD is isosceles triangle and AD = BD.

In △ACD, Hypotenouse = AD, Base = AC = 10/2 = 5 cm, Height = CD = 2 meters

Apply Pythagorean theorem on △ACD:

AD² = AC² + CD²

AD² = 5² + 2²

AD² = 29

AD = √29

Therefore, BD = √29

The length of the rope is AD + BD = 2√29 meters.

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The place value of 3 in 10,000s place is the product of 10 with the place value of 3 in thousands place.

Every digit in a number has it's own place value. Place value is the position of a digit in a number.

For example, in the number 3456, 6 is in the ones place, 5 is in the tens place, 4 is in the hundreds place and 3 is in the thousands place.

Given the number 33,291.

Place value of 1 = 1

Place value of 9 = 90

Place value of 2 = 200

Place value of 3 in thousands place = 3000

Place value of 3 in ten thousands place = 30,000 = 3000 × 10

That is, place value of 3 in 10,000s place is the product of ten with the place value of 3 in thousands place.

Hence the place value of 3 in thousands place multiplied to 10 gives the place value of 3 in 10,000s place.

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On solving the provided question, we can say that - here in the percentage obtained = 40 => so, 40/100X100 = 40%

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

here,

total is = 100

obtained = 40

so, 40/100X100 = 40%

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