Numeros ordinarios - Ejercicios
1.-El padre de Koldo quiere comprar el coche y el que le gusta cuesta 21.080 €. Tiene que pagar 6.500 € de admisión y el resto por tres años. ¿Cuánto tiene que pagar cada mes?
2.-Una familia gasta 500 euros al mes en comida, 350 euros en ropa, 250 euros en gastos del hogar y 100 euros en ocio. Tienen una renta mensual de 1.400 euros. ¿Cuánto dinero ahorra la familia al año?
3.-Un comerciante compró 500 litros de aceite a 2 euros el litro. El aceite se envasa en bidones de 5 litros. Sabiendo que el comerciante gana 500 € de la venta, calcule cuánto se vende cada bidon. ¿Cuántos litros vende?
4.-Queremos repartir 6.242 euros entre las tres personas. Le daremos a la primera persona 1.564 € y a la segunda 329 € más que la primera. ¿Cuánto dinero recibirá el tercero?
5.-Un restaurante pagó el mes pasado 143 kg de carne al carnicero por 1.144 €. ¿Cuántos kilos utilizó este mes, sabiendo que la factura era de 1.448 €?
6.-Un comerciante compró 15 cajas de leche y cada caja contiene 10 botellas. Cada caja cuesta 5 €. Durante el transporte, se cayó una caja y se rompieron 5 botellas. Luego vendió cada botella por 1 €. cuanto ganó?
PD: Tengo que entregar la tarea antes de las 00:00

The area of the given figure is 144cm²

The given figure is a composite figure composed of a parallelogram, a square, and a rectangle.

Get the area of the square

The area of the square?

Area = L²

Area of the square = 6² = 64cm²

Area of the triangle = 1/2 *6 * 10=30cm^2

Area of the triangle = 30cm²

Area of the second triangle=14cm^2

For the parallelogram:

Area of the parallelogram = Base * Height

Area of the parallelogram = 12 * 4

Area of the parallelogram  = 36 cm²

Area of the figure = 64cm² + 30cm² + 36cm²+14cm^2

Area of the figure = 130cm²

Hence the area of the figure is 144 cm²

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Answer:

The answer is A f(x) = -2x + 40

Step-by-step explanation:

it has a negative 2 because the dumps are decreasing by 2 every week and x is the amount of weeks and + 40 because that is the amount you started with.

The probability that a randomly selected consumer is middle-income and purchases two or more bottles of perfume annually is 0.06 or 6%.

To find the probability that a randomly selected consumer is middle-income and purchases two or more bottles of perfume annually, we need to know the proportion of middle-income consumers who purchase two or more bottles of perfume annually.

Assuming that we have this information, let's say that the proportion of middle-income consumers who purchase two or more bottles of perfume annually is p. Then, the probability that a randomly selected consumer is middle-income and purchases two or more bottles of perfume annually can be calculated using the following formula

P(middle-income and purchases two or more bottles) = P(middle-income) * P(purchases two or more bottles | middle-income)

Let's say that the proportions of low, medium, and high-income consumers are 0.4, 0.3, and 0.3, respectively. Also, let's assume that the proportion of middle-income consumers who purchase two or more bottles of perfume annually is 0.2.

Then, the probability that a randomly selected consumer is middle-income and purchases two or more bottles of perfume annually is

P(middle-income and purchases two or more bottles) = 0.3 * 0.2 = 0.06

Therefore, the probability is 0.06 or 6%.

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Answer:

that formula is known as the Pythagorean theorem

Answer:

Hey there!

C=\(2\pi r\)

361=2(3.14)r

361=6.28r

r=57.5 cm

Let me know if this helps :)

A theorem which is used to find the rational solutions of a polynomial equation is known as the rational root theorem.

A polynomial expression is given and after solving them we get the two values known as the roots of the function.

These are also known as the zeros of polynomial as after putting these values in the equation we get the result as 0 .

We should use the rational root theorem only when the value of coefficients are small.

The theorem states that each rational solution x = p ⁄ q, when on simplified satisfies the below mentioned points,

p is an integer factor of the constant term a0, and

q is an integer factor of the leading coefficient an.

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The smallest resolution for this instrument is 1/256 inches.

This is also the instrument's uncertainty, as it represents the smallest measurable increment.

Let's first understand the terms mentioned:
Slide caliper:

A measuring instrument with a main scale and a vernier scale for taking precise measurements.
Divisions per inch:

The number of equal divisions on the main scale in one inch.
Vernier:

A short auxiliary scale that slides along the main scale, allowing for more precise readings.
Divisions per major division:

The number of equal divisions on the vernier scale that correspond to one division on the main scale.
Now, let's determine the smallest resolution and uncertainty for this instrument.
Calculate the main scale resolution
Main scale resolution = 1 inch / 32 divisions per inch = 1/32 inches
Calculate the vernier scale resolution
Vernier scale resolution = Main scale resolution / Vernier divisions per major division = (1/32 inches) / 8 = 1/256 inches.

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Answer:

27, 36, 45 and 54

Line graphs show relationships between two variables by plotting data points connected by a line. Bar graphs compare data by showing bars of different sizes. Pie charts show proportion or percentage of the whole by dividing a circle into sections.

Line graphs are used to show relationships between two variables. They are created by plotting data points on a graph and connecting them with a line. Line graphs can be used to show trends or changes over time, or to compare different sets of data. Bar graphs compare data by showing bars of different sizes. The bars represent different categories, and the length of each bar indicates the size of the value it represents. Pie charts are used to show proportion or percentage of the whole. The data is divided into sections and each section is represented by a different color. The size of each section is proportional to the value it represents. All three types of graphs are commonly used to visually represent data in mathematics.

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Answer:

I didn't study that

Step-by-step explanation:

Answer:

The better unit rate deal is 40 lenses for 120 dollars.

Step-by-step explanation:

64/16 = 4 while 120/40 = 3

Answer:

so the best one to buy is 40 contact lens for $120

Step-by-step explanation:

64/16= 4 dollars per lens

120/40= 3 dollars per lens

The center of the circle, and consequently the central point of the resort's swimming pool, is located at the intersection of the two legs of the right triangle, approximately 60 feet from one vertex and 120 feet from the other.

The upscale resort has ingeniously designed its circular swimming pool to encompass a central area containing a restaurant. This central area takes the form of a right triangle with legs measuring 60 feet and 120 feet, while the hypotenuse, the longest side of the triangle, spans approximately 103.92 feet. The vertices of the triangle neatly coincide with points on the circumference of the circular pool.

Due to the properties of a right triangle, the hypotenuse is also the diameter of the circle. This means that the circular pool is precisely constructed around the right triangle, with its center located at the midpoint of the hypotenuse.

To determine the exact coordinates of the center of the circle, we can consider the properties of right triangles. Since the legs of the right triangle are perpendicular to each other, the midpoint of the hypotenuse coincides with the point where the two legs intersect.

In this case, the center of the circle is the point of intersection between the 60-foot leg and the 120-foot leg of the right triangle.

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Answer:

5x - 10

Step-by-step explanation:

7x - 2(x + 5)

= 7x - 2x -10

Please mark me brainliest if my answer is correct! Thanks!

= 5x - 10

Answer: Jerry will have to grow 24 more inches to reach his max Height of 72 inches. If you put this into an inequality it would be 48 plus a number that is more significant than or equal to 72

Step-by-step explanation:

48+X_>72

Answer:

312

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

3(11)=33

hope this help

To determine whether taking the derivative of a function would be explicit or implicit, as well as whether the product, quotient, or chain rule would be needed.

Taking the derivative of a function is explicit when the function is given explicitly in terms of the independent variable(s). In this case, we can easily differentiate the function by applying the standard differentiation rules without any additional steps.

On the other hand, taking the derivative of a function is implicit when the function is given implicitly, meaning it is defined implicitly in terms of the independent and dependent variables.  The product rule is used when differentiating a product of two functions, the quotient rule is used when differentiating a quotient of two functions, and the chain rule is used when differentiating a composite function.

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Answer:

about 10 times

Step-by-step explanation:

60 times 1/6 (probability ) = 60/6 or 10

Answer:

\(\angle N\cong \angle Z\)

Step-by-step explanation:

Given:

In ΔLMN and ΔXYZ, \(MN=3\,,\,LN=2\,,\,YZ=9\,,\,XZ=6\)

To find: criteria that needs to be shown to prove ΔLMN \(\sim\) ΔXYZ using SAS similarity theorem

Solution:

According to SAS Similarity Theorem, if two sides in one triangle are proportional to two sides in another triangle and the included angle between the sides are congruent, then the two triangles are said to be similar.

In ΔLMN and ΔXYZ,

\(\frac{LN}{XZ}=\frac{2}{6}=\frac{1}{3}\\\frac{MN}{YZ}=\frac{3}{9}=\frac{1}{3}\\\therefore \frac{LN}{XZ}=\frac{MN}{YZ}\)

So, ΔLMN \(\sim\) ΔXYZ by SAS similarity theorem if \(\angle N\cong \angle Z\)

For both triangles to be proven to be similar by the SAS similarity theorem, the additional information needed to be shown is a pair of congruent included angles, which is: a. ∠N ≅ ∠Z

The SAS Similarity Theorem states that two triangles are similar to each other if they have two pairs of corresponding sides that are proportional to each other and a pair included angles that are congruent.

△LMN and △XYZ have:

two pairs of corresponding sides that are proportional (YZ/MN = XZ/LN = 3)

Therefore, for both triangles to be proven to be similar by the SAS similarity theorem, the additional information needed to be shown is a pair of congruent included angles, which is: a. ∠N ≅ ∠Z

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To evaluate the line integral using Green's Theorem, we first need to find the curl of the given vector field. The vector field in this case is F(x, y) = (e^x cos(2y), -2e^x sin(2y)).

Using the partial derivative notation, we have:

∂F/∂x = (d/dx)[e^x cos(2y)] = e^x cos(2y)

∂F/∂y = (d/dy)[-2e^x sin(2y)] = -2e^x cos(2y)

Now, we can calculate the curl of F:

curl(F) = ∂F/∂x - ∂F/∂y = e^x cos(2y) + 2e^x sin(2y)

Next, we need to find the area enclosed by the curve C, which is described by the equation x^2 + y^2 = a^2, where 'a' is a constant representing the radius of the circle.

To apply Green's Theorem, we integrate the curl of F over the region enclosed by C. However, since the given curve C is a closed curve, the integral of the curl over this region is equal to the line integral of F around C.

Using Green's Theorem, the line integral is given by:

∮C F · dr = ∬R curl(F) · dA

Here, ∮C represents the line integral around the curve C, ∬R denotes the double integral over the region enclosed by C, F · dr represents the dot product of F with the differential element dr, and dA represents the area element.

Since the region enclosed by C is a circle, we can use polar coordinates to evaluate the double integral. Setting x = r cosθ and y = r sinθ, where r ranges from 0 to a and θ ranges from 0 to 2π, we have dA = r dr dθ.

Substituting the values into the line integral expression, we have:

∮C F · dr = ∫[0 to 2π]∫[0 to a] (e^(r cosθ) cos(2r sinθ) + 2e^(r cosθ) sin(2r sinθ)) r dr dθ

Evaluating this double integral will yield the final result of the line integral. However, due to the complexity of the expression, it may not be possible to find an exact closed-form solution. In such cases, numerical methods or approximations can be employed to estimate the value of the line integral.

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Answer:

C - 20 feet

Step-by-step explanation:

Use Trigonometry

a^2 + b^2 = c^2

Visualise this as a triangle. The height of the triangle is 16 feet and the base of the triangle is 12 feet. All we need to find is the slant height (which is the ladder).

16^2 + 12^2 = c^2

c = \(\sqrt{400}\)

c = 20

a) A negative value that is equidistant from the mean and has a lower 0.035 tail area is -1.81. b) a negative value that is equidistant from the mean and has a lower 0.035 tail area is -1.81. The two values are -1.81 and 1.81, where -1.81 is a negative value and 1.81 is a positive value that are equidistant from the mean so that the areas in the two tails total 14%.

To find two values, one positive and one negative, that are equidistant from the mean so that the areas in the two tails total 14% by using The Standard Normal Distribution Table and entering the answers rounded off to two decimal places are as follows:

Mean (μ) = 0, Area in both tails = 14%, thus the area in each tail = 7% (Since it's symmetrical). Using the standard normal distribution table, we can find the z-score associated with the lower and upper tails. The area of the tail is 0.07, so the area in each tail is 0.07 / 2 = 0.035.Now, we need to find the z-score associated with the lower 0.035 tail and upper 0.035 tail.

(a) Negative Value: For a given area of 0.035 in the tail, the z-score is -1.81 (rounded off to two decimal places) associated with the lower 0.035 tail, i.e., z = -1.81Thus, the corresponding value X is: X = μ + zσ Where, σ = 1 (standard deviation), X is the value we're interested in X = 0 - 1.81 × 1 = -1.81

Therefore, a negative value that is equidistant from the mean and has a lower 0.035 tail area is -1.81.

(b) Positive Value: For a given area of 0.035 in the tail, the z-score is 1.81 (rounded off to two decimal places) associated with the upper 0.035 tail, i.e., z = 1.81. Thus, the corresponding value X is: X = μ + zσWhere, σ = 1 (standard deviation), X is the value we're interested in X = 0 + 1.81 × 1 = 1.81

Therefore, a positive value that is equidistant from the mean and has a lower 0.035 tail area is 1.81.The two values are -1.81 and 1.81, where -1.81 is a negative value and 1.81 is a positive value that are equidistant from the mean so that the areas in the two tails total 14%.

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(a)(i) Q1 = AVB: All possible truth values for quantifiers of A and B result in a true sentence. Therefore, all 16 models satisfy the sentence Q1. Answer: 16.

(a)(ii) a2 = (AAB)→C: Since there are only 4 symbols, there are only 2^4 = 16 possible models. Therefore, a2 is satisfied by all 16 possible models. Answer: 16.

(a)(iii) a3 = (A AB) V(-CVD): There are 4 symbols, so there are 16 possible models. Therefore, a3 is satisfied by 16 out of 16 models. Answer: 16.

There are 6 models where A and B are both true, and in all of these models, the implication (AAB)→C is true. In the remaining 10 models where at least one of A or B is false, the sentence is also true because the implication is vacuously true. Therefore, a2 is satisfied by all 16 possible models. Answer: 16.

For the sentence to be true, either (A AB) is true or (-CVD) is true. There are 4 models where A and B are both true, and in these models, (A AB) is true. There are 8 models where either C or D (or both) are true, and in these models, (-CVD) is true. There are 4 models where A and B are both true, and either C or D (or both) are true, so both disjuncts are true and the sentence is true. Therefore, a3 is satisfied by 16 out of 16 models. Answer: 16.

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Answer:

238

Step-by-step explanation:

the quotient simply means the result of the division. when you divide 952 by 4, you get 238

Answer: I COULD BE WRONG
Only C) 9(j + 2)

Step-by-step explanation:

All the other ones are different from the end which is 9j + 18

Answer:

Step-by-step explanation:

Hello,

Basically, we need to prove that \(\sqrt{2}\) is irrational

Let s assume that \(\sqrt{2}\) is rational

it means that we can find p and q (q different from 0) two integers with no common factors other than 1

so that

   \(\sqrt{2}=\dfrac{p}{q}\)

And then we can write that

   \(2=\dfrac{p^2}{q^2}\\<=> p^2=2q^2\)

So \(p^2\) is even so it means that p is even

so \(p^2\) is divisible by 2*2=4

as  \(p^2=2q^2\) it means that \(q^2\) is even, meaning q is even

wait, p and q are then even !? but by definition they have no common factors. This is not possible.

so our assumption that \(\sqrt{2}\) is rational is false

So it means that this is irrational

and then \(3-\sqrt{2}\) is irrational too

Hope this helps

The rate of change for the function on the table is; 15 grapes eaten per minute.

It follows from the complete question that the table given indicates that;

On this note, it is conclusive that the rate of change of the function represented by the table is; 15 grapes eaten per minute.

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Using factorization, the zeros of the polynomial y = 3p³ - 8p² + 4p are 0, 2/3 and 2.

The values of the independent variable (x) for which the function equals zero are referred to as the zeros of a function, also known as the roots or solutions. They are, in other words, the x-coordinates of the spots where the function's graph crosses the x-axis. You can set a function's value to zero and then work out the value(s) of x that the equation requires in order to identify the zeros of the function.

If the function, for instance, is f(x), then you would set f(x) to 0 and then solve for x:

f(x) = x^2 + 2x - 3 = 0

This can be simplified as

(x-3)(x+1) = 0

Taking the x - values

x - 3 = 3

or

x + 1 = -1

hence;

x^2 + 2x - 3 = -1, 3

Therefore, -1 and 3 are the zeros of the function f(x) = x2 + 2x - 3.

In our given problem;

y = 3p³ - 8p² + 4p

y = p(3p - 2)(p - 2)

Taking the zeros

0 = p(3p - 2)(p - 2)

p = 0

3p - 2 = 0

p = 2 / 3

p - 2 = 0

p = 2

The zeros or roots of the polynomial are (0, 2/3 and 2)

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