tres tercios entre 5 tercios


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Answer:

The terms in Sequence 2 are four times as large as the terms in Sequence 1.

Step-by-step explanation:

If we take a look at the numbers,

Sequence 1: 0, 1, 2, 3, 4, 5

Sequence 2: 0, 4, 8, 12, 16, 20

We can see that 0 × 4 = 0,

1 × 4 = 4,

2 × 4 = 8,

And so on.

We can also see in sequence 2 that 4 is added to each of the numbers every time, whereas the first sequence is simply counting up.

Therefore, we can conclude that the terms in Sequence 2 are four times as large as the terms in Sequence 1.

Mia can create a scale drawing of a football field using a scale of 1:1,000. The scale drawing will provide a Visual representation of the field, allowing for easier analysis and planning.

To create a scale drawing of a football field using a scale of 1:1,000, Mia can follow these steps:

1. Determine the dimensions: The football field's dimensions are given as 120 yards by 53 1/3 yards. Convert the fractional measurement to a decimal for simplicity. In this case, 1/3 yard is approximately 0.333 yards.

2. Decide on the units: Since the scale is 1:1,000, Mia needs to determine the unit of measurement she will use in her scale drawing. For consistency, she can choose to use feet as the unit.

3. Calculate the scaled dimensions: To create the scale drawing, Mia needs to scale down the dimensions of the football field. Since the scale is 1:1,000, she can divide the actual dimensions by 1,000 to obtain the scaled dimensions. The scaled dimensions would be 120 yards / 1,000 = 0.12 yards (or 0.36 feet) for the length and 53.333 yards / 1,000 = 0.053333 yards (or 0.16 feet) for the width.

4. Draw the scaled football field: Using a ruler and a grid paper, Mia can draw a rectangle with dimensions of 0.12 feet by 0.053333 feet (or inches, depending on the size of the grid paper). She can label the sides of the rectangle with the corresponding measurements in feet.

5. Add additional markings: Mia can add other markings to the scale drawing, such as the goal posts, yard markers, and any other important features of the football field. She can refer to the actual measurements and proportions of these elements to ensure accuracy.

By following these steps, Mia can create a scale drawing of a football field using a scale of 1:1,000. The scale drawing will provide a visual representation of the field, allowing for easier analysis and planning.

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Answer:

h = -3y + 2x

Step-by-step explanation:

Add 4x to both sides of the equation.

2h = −6y + 4x

Divide each term in 2h = −6y + 4x by 2 and simplify.

Divide each term in 2h = −6y + 4x by 2.

2h/2 = -6y/2 + 4x/2

Simplify the left side.

h = −6y/2 + 4x/2

Simplify the right side.
Simplify each term.
Cancel the common factor of −6 and 2.

h = -3y+2(2x)/2

Cancel the common factors.
Factor 2 out of 2.

h = -3y+2(2x)/2(1)
Cancel the common factor

h = -3y+2(2x)/2(1)
Rewrite the expression
h = -3y + 2x/1

Divide 2x by 1.
h = -3y + 2x

hopefully its right LOLZ

The number of motorbikes is 5

The given parameters are:

Motorbike = $945.50

Johnson = $5000.

The number of motorbikes is calculated as:

n = Johnson/Motorbike

So, we have:

n = 5000/945.5

Evaluate

n = 5.29

Remove the decimal

n = 5

Hence, the number of motorbikes is 5

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An

$52

Step bro

suck it

Answer:

52$

Step-by-step explanation:

Divide for the unit price of 1 book.

You get $52

To calculate the number of four-card hands chosen from a standard 52-card deck that contain two cards of one suit and two cards of another suit, we need to consider the following:

1. Selecting the suits: There are 4 suits in a deck (hearts, diamonds, clubs, and spades). We need to choose two suits out of these four.

2. Selecting the two cards of one suit: Once we have chosen the two suits, we need to select two cards from one of the chosen suits. There are 13 cards in each suit, so we can choose 2 cards from the 13 available.

3. Selecting the two cards of another suit: After selecting the first suit, we need to choose two cards from the remaining suit. Again, there are 13 cards to choose from.

To calculate the total number of four-card hands satisfying these conditions, we multiply the number of choices at each step. Therefore, the total number of such hands is:

4C2 * 13C2 * 13C2 = (4! / (2! * 2!)) * (13! / (2! * 11!)) * (13! / (2! * 11!))

= 6 * (13 * 12 / (2 * 1)) * (13 * 12 / (2 * 1))

= 6 * 78 * 78

= 36,432.

Therefore, there are 36,432 four-card hands chosen from a standard 52-card deck that contain two cards of one suit and two cards of another suit.

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Answer:

According to the given data, if it is true that 60 percent of the trees in a forested region are classified as softwood, 0.015 is the probability of obtaining a population proportion greater than 0.6.

Step-by-step explanation:

Past studies indicate that about 60 percent of the trees in a forested region are classified as softwood.

A botanist studying the region suspects that the proportion might be greater than 0.60.

The botanist obtained a random sample of trees from the region and conducted a test of H0:p=0.6 versus Ha:p>0.6.

Therefore, he p-value of the test was 0.015, indicating the past studies.

Answer:

scorpion -_-

Step-by-step explanation:

Answer:

Scopion

Step-by-step explanation:

Answer:

\( {12}^{2} \times {6}^{2} = {(12 \times 6)}^{2} = {72}^{2} \)

The excerpt that expresses the viewpoint of a scalawag is Option D: "President Johnson is far too easy on the South. They must be punished for the trouble they caused the people of the United States."

A scalawag was a term used during the Reconstruction era in the United States to describe Southern white individuals who supported the policies of the Republican Party, particularly those related to Reconstruction efforts after the Civil War. These individuals were often viewed as traitors by some Southerners who opposed the Reconstruction process.

Option D expresses a viewpoint that aligns with the perspective of a scalawag. The statement criticizes President Johnson for being too lenient on the South, implying that more severe punishment should be imposed on them for their actions during the war and the impact they had on the country. This viewpoint of advocating for stricter measures against the South aligns with the perspective of a scalawag who supported the Republican Party's efforts during Reconstruction.

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The probability that a particular one of them will sit in the chair closest to the dance floor is 1/4.

Linear Permutation:

Linear permutation defines the number of ordered arrangement of objects in a line while circular permutations is an ordered arrangement of objects in a circular manner.

Given,

Four friends are sitting at a table together at the prom.

Here we need to find  the probability that a particular one of them will sit in the chair closest to the dance floor.

Since the samples are arranged with a fixed reference point, this is a linear permutation.

So there are 4! or 24 ways in which the samples can be arranged.

The number of favorable outcomes is the number of permutations of the other 3 people given that a particular one of them will sit in the chair closest to the dance floor, 3! or 6.

Therefore, the probability is

=> 6/24

=> 1/4.

Therefore, the probability that a particular one of them will sit in the chair closest to the dance floor 1/4.

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Answer: f(2) = 5

Explanation: If f(x) - 4x - 3, then f(2) = 4(2) - 3 which simplifies to 5.

Answer:

3.21

Step-by-step explanation:

.........................

The correct option is: (i) and (iii) are correct statements but not (ii).

The correct answer is:

(i) The uniform probability distribution's shape is a rectangle.

(ii) The uniform probability distribution is symmetric about the mode.

(iii) In a uniform probability distribution, P(x) is constant between the distribution's minimum and maximum values.

Therefore, the correct option is: (i) and (iii) are correct statements but not (ii).

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The response to the given domain range questions is [go f oh]. (9) = 5(18^2 - 1 )

Domain and range. A function's authorised range of values is known as its domain. The x values in a function like f make up this set (x). A function's range is the collection of values that it can take as input. When we enter an x value, the function outputs this set of values.

f(x) = x^5 – 1, g(x) = 5x^2, and h(x) = 2x

[g o f o h](9)=g(f(h(9))

Let's find h(9) first

h(x)= 2x

h(9)= 2(9) =18

Now plug in 18 for h(9)

[g o f o h](9)=g(f(h(9)) = g(f(18))

now we find f(18)

f(x) = x^5 – 1, f(18)= 18^5 -1

Now we plug in 18^5 -1 for f(18)

[g o f o h](9)=g(f(h(9)) = g(18^5 -1)

Plug it in g(x)

g(x)= 5x^2

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Answer:  In trigonometry, the unit circle has a radius of 1 and is centered at the origin. It’s useful for learning ratios like sine and cosine. It also illustrates the relationship between angles in degrees and radians.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1755*39= 68445

68445/39=1755

68445/1755=39

Critical angle for the total internal reflection icrit, β =  78.28⁰

Critical angle for the total internal reflection crit, α = 17,22⁰

We have the refractive index of core, \(n_c_o_r_e\) = 1.46

We have the refractive index of clad , \(n_c_l_a_d\) = 1.4

Critical angle can be defined as the incidence angle which results in the refraction angle being equal to  at that angle of incidence.

For Total Internal Reflection to occur, the incidence angle must be greater than the critical angle.

We know that the critical angle, θ is given by:

sinθ = \(\frac{n_c_l_a_d}{n_c_o_r_e}\)

sinθ = \(\frac{1.4}{1.46}\)

sinθ = 0.959 = sin⁻¹(0.979) = 78.28⁰

β = θ = 78.28⁰

Now, for α:

\(\frac{sin(90-\alpha )}{sin\alpha } = \frac{1}{n_c_o_r_e}\)

sinα = sin(90⁰-78.28⁰) × 1.46

sinα = sin(11.72⁰) × 1.46

α = sin⁻¹(0.296)

α = 17,22⁰

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Critical angle for total internal reflection icrit β = 78.28⁰

Critical angle for total internal reflection crit, α = 17.22⁰

The refractive index of the core is ncore = 1.46.

The refractive index of clad is nclad = 1.4.

We know that the critical angle, θ is given by:

sinθ = nclad/ ncore

sinθ = 1.4/1.46

sinθ = 0.959

sin⁻¹(0.979) = 78.28⁰

β = θ = 78.28⁰

Now, for α:

sin(90- α) / sin α = 1 / ncore

sinα = sin(90⁰-78.28⁰) × 1.46

sinα = sin(11.72⁰) × 1.46

α = sin⁻¹(0.296)

α = 17.22⁰

Critical angle for icrit β = 78.28⁰

Critical angle for crit α = 17.22⁰

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Surface area

If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean. In repeated sampling, about 90% of the constructed confidence intervals will capture the true population mean difference. The correct answer is C.

When we construct a confidence interval, it is important to understand its interpretation. In this case, the correct answer (Oc) states that if we were to take many random samples of the same size and construct confidence intervals for each sample, approximately 90% of these intervals would contain the true population mean difference.

This interpretation is based on the concept of sampling variability. Due to random sampling, different samples from the same population will yield slightly different sample means.

The confidence interval accounts for this variability by providing a range of values within which we can reasonably expect the true population mean difference to fall a certain percentage of the time.

In the given scenario, when constructing a 90% confidence interval for the paired difference, it means that 90% of the intervals we construct from repeated samples will successfully capture the true population mean difference, while 10% of the intervals may not contain the true value.

It's important to note that this interpretation does not imply a probability or chance for an individual interval to capture the true population mean. Once the interval is constructed, it either does or does not contain the true value. The confidence level refers to the long-term behavior of the intervals when repeated sampling is considered.

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Answer:

C.

Step-by-step explanation:

For any of the given functions, all of the first input values (x-values) in the relation are considered the domain values. On the other hand, the output values (y-values) are called the range values of the given equation.

The mapped relation is the domain (1, 2, 3). Since this is domain values (x-values), the correct answer will be the mapped with 1, 2, and 3 on the left side.

The correct answer is C.

Hope this helps!

The differential equation that models this situation is dx/dt = kx(M - x) (option c).

To determine the differential equation that models the situation, let's analyze the problem statement.

The rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized.

Let's denote the number of words memorized as "a" and the number of words not yet memorized as "M - a" (where M is the total number of words in the list).

The problem states that the rate of memorization is proportional to the product of "a" and "M - a". We can express this mathematically as:

Rate of memorization ∝ a * (M - a)

To convert this proportionality into an equation, we introduce a positive constant k:

Rate of memorization = k * a * (M - a)

The left side of the equation represents the rate of change of the number of words memorized (da/dt), and the right side represents the product of "a" and "M - a" multiplied by the constant k.

Therefore, the differential equation that models this situation is:

da/dt = k * a * (M - a)

Comparing this with the given options, we can see that the correct choice is option C:

dx/dt = k * x * (M - x)

The complete question is:

At any time t > 0 the rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized. If a denotes the number of words memorized at time t, which differential equation models this situation? Assume k is a positive constant.

A. dx/dt = kx

B. dx/dt = kx(x - M)

C. dx/dt = kx(M - x)

D. dx/dt = kt(M - t)

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You are given a magic penny that doubles every night. After 12 days you will have 2048 pennies.

The problem can be solved using a geometric sequence approach.

The nth term of a geometric sequence is given by:

a(n) = a(0) . rⁿ⁻¹

Where:

a(0) = the first term

r = common ratio

In the given problem:

a(0) = 1

n = 12

r = 2

Hence, after 12 days:

a(12) = 1 x 2¹²⁻¹ = 2¹¹ = 2048 pennies

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The the function to estimate the average age of employee of a company is A(s)=0.285s + 59  , then the average age of employee in 2003 is 65.27 and in 2009 is 66.98

To estimate the average age of an employee in 2003, we need to find the value of A(s) when s = 22  ;

because the number of years between 2003 and 1981 is = 22 years ;

So , A(22) = 0.285×22 + 59 = 65.27  ;

The average age of an employee in 2003 is approximately 65.27.

To estimate the average age of an employee in 2009,

we need to find the value of A(s) when s = 28

because the number of years between 2009 and 1981 is = 28 years ;

So , A(28) = 0.285×28 + 59 = 66.98  ;

The Average age of employee in 2009 is approximately 71.48.

The given question is incomplete , the complete question is

The function​ A(s) given by ​A(s)=0.285s + 59  can be used to estimate the average age of employee of a company in the year 1981 to 2009. Let​ A(s) be the average age of an​ employee, and "s" be the number of year since​ 1981; that​ is, s=0 for 1981 and s=9 for 1990. What is the average age of the employee in 2003 and in​ 2009 ?

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A mean table generator is a tool used to calculate the mean, or average, of a set of numerical data.

The mean table generator is a type of statistical tool that is used to calculate the average of a set of numerical data. It is typically used in mathematics, statistics, and other related fields to help analyze and interpret data.

The mean is an important statistical measure that provides an overall picture of the data set and can be used to make comparisons between different sets of data. Mean table generators are commonly used by researchers, analysts, and students to quickly and accurately calculate the mean of a data set.

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Answer:

Step-by-step explanation:

4x(3x-7)-19x2

4x*3x=12x

-7*-19 = 133 * 2 = 266

12x + 266

Don't Trust This I suck at math, but I am confident that is the answer. It's either that or this: 12x-52. Trust me if you want. But I am warning you.

Answer:

The answer is

Step-by-step explanation:

4x(3x − 7) − 19x²

Expand the terms

We have

12x² - 28x - 19x²

Group like terms

That's

12x² - 19x² - 28x

Simplify the terms

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

a) circumference = diameter*pi

so, pi in circle A =25.12/8=3.14

pi in circle B = 9.42/3 =3.14

b) area of the circle =(diameter/2)^2*pi

so pi in circle A = 50.24/(8/2)^2=3.14

pi in circle B = 3.14

C) both the value of circle A and B are equivalent

Answer: She can buy 35 apples, if she only buys apples

Step-by-step explanation: Divide $10 by $0.28 and you get 35.7, don’t round up because she won’t have enough money to pay for the last apple

hope this helps :)

Answer:

$9.8 for 35 apples.

Step-by-step explanation:

I know this because she is spending $9.86 on oranges on apples she would spend $9.8 on apples therefor she bought 35 apples.

Answer:

Rounding goes up to the next number when a number is 5-9.

-$3

-$1

-$5

-$2

-$3

-$9

-$1

- $1 off (coupon)

- $1 off (coupon)

Rounded Total: $22

Exact Total: $21.77

B) The total on the register is reasonable because even with the rounded price at the end, it is only 23 cents off, which is good.