Analiza los siguientes cuerpos geométricos ilumina y contesta

The equation for w(width of rectangle) is: W = (P - 2L)/2

The correct answer is an option (c)

We know that the formula for the perimeter of the rectangle is:

P = 2L + 2W

where P is the perimeter of the rectangle,

L is the length of the rectangle,

and W is the width of the rectangle.

We need to rearrange this equation for w.

Consider equation,

P = 2L + 2W

P - 2L = 2L + 2W - 2L      ......(subtract 2L from each side of equation)

P - 2L = 2W

(P - 2L)/2 = 2W/2             .....(divide each side by 2)

W = (P - 2L)/2

Therefore, the correct answer is  W equals the quantity P minus 2 times L all over 2

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The complete question is:

Makayla is taking a math course and is working with the perimeter of rectangles. She knows the perimeter and length of her rectangle but wants to solve for the width. Rearrange the following equation for W, where P is the perimeter, L is the length, and W is the width of the rectangle. P = 2L + 2W.

a) W = 2P − 2L

b) W = P/ 2-2 times L

c) W equals the quantity P minus 2 times L all over 2

d) W = 2P + 2L

Answer:

c) W equals the quantity P minus 2 times L all over 2

Step-by-step explanation:i just took the test

Answer:

Vertex form: \(y=\frac{1}{2}(x-2)^2-3\)

Standard Form: \(y=0.50x^2-2x-1\)

Step-by-step explanation:

Well the vertex form of an equation is given in the form: \(y=a(x-h)^2+k\) where (h, k) is the vertex, and by looking at the graph, you'll see the vertex is at (2, -3). So plugging this into the equation gives you: \(y=a(x-2)^2-3\). Now to find a which will determine the stretch/compression, you can substitute any point in (besides the vertex, because that'll result in (x-2) being 0). So I'll use the point (0, -1) which is the only point I think I can accurately determine by looking at the graph (besides (4, -1) since it's symmetric). Anyways I'll plug this in

Plug in (0, -1) as (x, y)

\(-1 = a(0-2)^2-3\)

calculate inside the parenthesis

\(-1 = a(-2)^2-3\)

square the -2

\(-1 = 4a-3\)

Add 3 to both 3 to both sides

\(2 = 4a\)

divide both sides by 4

\(a=\frac{1}{2}\)

This gives you the equation: \(y=\frac{1}{2}(x-2)^2-3\)

To convert this into standard form you simply expand the square binomial, you can use the foil method to achieve this, but it generally expands to: \((a+b)^2=a^2+2ab+b^2\).

Original equation:

\(y=\frac{1}{2}(x-2)^2-3\)

expand square binomial:

\(y=\frac{1}{2}(x^2-4x+4)^2-3\)

Distribute the 1/2

\(y=0.50x^2-2x+2-3\)

Combine like terms:

\(y=0.50x^2-2x-1\)

The best level of measuring is the ordinal level.

Hence, option (d) is the correct choice.

Nominal: The information is only classifiable.

Ordinal: The information is classifiable and rankable.

Interval: The data may be equally spaced, classified, and rated.

Ratio: The data is uniformly spaced, categorizable, rankable, and has a natural zero.

As absolute 0-character tweets were not permitted in 2018, tweets could only be a maximum of 280 characters. As a result, the level of measurement, in this case, would be ordinal because we could categorize and rank the provided data.

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If the student recorded a temperature of 75 degrees Fahrenheit at hour 9 and 95 degrees Fahrenheit at hour 13. The rate of change between these temperatures will be 5 Fahrenheit per hour.

It is defined as the change in values of a dependent variable with respect to the independent variables.

It is given that, A student recorded a temperature of 75 degrees Fahrenheit at hour 9 and 95 degrees Fahrenheit at hour 13.

The term "rate of change" refers to the pace at which one quantity changes with respect to another.

The rate of change is the ratio of temperature to the time elapsed,

Rate of Change = change in temperature/time elapsed

Rate of Change = (95°F - 75°F) / (13 -9) hour

Rate of Change =20 / 4

Rate of Change = 5 Fahrenheit per hour

Thus, if the student recorded a temperature of 75 degrees Fahrenheit at hour 9 and 95 degrees Fahrenheit at hour 13. The rate of change between these temperatures will be 5 Fahrenheit per hour.

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Given the expression:

Let's multiply the expression.

To multiply apply the distributive property of multiplication.

Distribute 4 to the values in the parentheses:

ANSWER:

Answer:

  (x, y) = (0, -2248)

Step-by-step explanation:

Substitution

Substitute for y:

  300x -2248 = 350x -2248

  0 = 50x . . . . . . . . add 2248-300x to both sides

  x = 0

  y = 300·0 -2248

The solution is (x, y) = (0, -2248).

__

Elimination

Subtract the first equation from the second.

  (y) -(y) = (350x -2248) -(300x -2248)

  0 = 50x

  x = 0

  y = 300·0 -2248

The solution is (x, y) = (0, -2248).

__

Additional comment

If you think for a bit about what the graph looks like, you realize both lines cross at their y-intercept, (0, -2248). That point of intersection is the solution to the system of equations.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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Answer:

don't know

Step-by-step explanation:

sorry buddy

Answer:

b = 4

Step-by-step explanation:

Solve for b?

1/2b + 9 = 11     Subtract 9 from both sides

1/2b = 11 -9

1/2 b = 2    Multiply both sides by 2

b = 4

Answer:

Step-by-step explanation:

Note that 3 is a factor of 6. You want to multiply 6 and ⅓ together first, because it simplifies to 2.

Answer:

A. 60 ft^2

Step-by-step explanation:

A=bh

The base is 12 and the height is 5

12*5=60

Answer:

A

Step-by-step explanation:

The value of the z-score for the number 15  in a data set is 0.93.

Define z-score.

A data point's z-score, also known as a standard score, indicates how far it deviates from the mean. In practical terms, however, it's a measurement of how many standard deviations a raw number is from or above the population mean.

You can plot a z-score on a normal distribution graph. Z-scores can be anywhere between -3 and +3 standard deviations.

                     ∴  z = (x – μ) / σ

Given:

σ = 4.32

x = 15

Data set: 5, 7, 9, 11, 13, 15, 17

So, mean = 5 + 7 + 9 + 11 + 13 + 15 + 17/7

                = 77/7

            μ = 11

z = (x – μ) / σ

  = (15 - 11)/4.32

   = 4/4.32

z  = 0.93

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Answer: It's kumon?

Step-by-step explanation:

Answer:

The answers are correct.

Step-by-step explanation:

Please rate the answer and like it if it helped.

Answer:

f(3) = -2

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

f(3) is simply asking for the y-value when x = 3. According to the graph, when x = 3, y = -2.

Therefore, f(3) = -2

The square feet of paper that will cover the model is 56 ft squared.

The model above is a square base pyramid. Therefore, the square feet of papers he will need to cover the model is the surface area of the model.

Therefore,

surface area of the square base pyramid = A + 1 / 2 ps

where

Therefore,

p = 4 × 4 = 16 ft

s = 5 ft

A = 4² = 16 ft²

Therefore,

surface area of the square base pyramid = 16 + 1 / 2 × 16 × 5

surface area of the square base pyramid = 16 + 40

surface area of the square base pyramid = 56 ft²

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Answer:

Step-by-step explanation:

Me personally, I think buffets are the best because you can take as music food as you much, without being charged for much! But thats only for some buffets. If you go to a chinese buffet, they might lower the price allowing you to get as much food as you please!

a.There are 2,268,760 different samples possible, b.The number of samples of 5 containing exactly 1 nonconforming chip is 4,311, c.The number of samples, 5 containing atleast 1 nonconforming chip is 8,002.

a. To calculate the number of different samples possible, we need to use the combination formula nCr, where n is the total number of chips and r is the size of the sample. In this case, n = 140 and r = 5. So the number of different samples possible is 140C5 = 2,268,760.

b. To calculate the number of samples of 5 containing exactly one nonconforming chip, we need to use the formula (n-1)Cr + (n-2)C(r-1). In this case, n = 10 and r = 5. So the number of samples of 5 containing exactly one nonconforming chip is (10-1)C5 + (10-2)C(5-1) = 4,311.

c. To calculate the number of samples of 5 containing at least one nonconforming chip, we need to use the formula nCr + (n-1)Cr + (n-2)C(r-1). In this case, n = 10 and r = 5. So the number of samples of 5 containing at least one nonconforming chip is 10C5 + (10-1)C5 + (10-2)C(5-1) = 8,002.

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The quotient is 2x^2-5 and remainder is -4

The necessary steps are:

p(x)= 6x^3 + 4x^2 - 15x−14

∴ degree of p(x) is 3.

g(x)=3x+2

∴ degree of g(x) is 1.

∴ degree of quotient q(x)=3−1=2,

and degree of remainder r(x) is zero.

Let, q(x)=ax2+bx+c (Polynomial of degree 2) and r(x)=k (constant polynomial)

By using division algorithm, we have

p(x)=[g(x)×q(x)+r(x)]

=6x^3 + 4x^2 -15x−14 = (3x+2)(ax2 + bx +c)+k

=3ax^3 + 3bx^2 + 3cx + 2ax^2 +2bx+2c+k

∴6x^3 + 4x^2 - 15^x - 14 = 3ax^3 + (3b+2a)x^2 + (3c+2b)x + 2c+k

We have cubic polynomials on both the sides of the equation.

∴ Let us compare the coefficients of x^3, x^2 ,x and k to get the values of a,b,c.

6=a, it is the coefficient of x^3 on both sides

4=3b+2a, it is the coefficient of x^2 on both sides

-15=3c+2b, it is the coefficient of x on both sides

−14=2c+k, it is the constant term on both sides

∴ the quotient is 2x^2 - 5 and the remainder is -4.

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The scale factor is: 1.8

because of :

\(\frac{36}{20}=1.8\\ \\\\\frac{25.2}{14}=1.8\)

The probability of getting a black card and a numbered card is 9/26.

To calculate the probability of getting a black card (E1), we need to determine the number of black cards in a standard deck of 52 cards.

There are 26 black cards in total, which consist of 13 spades (black) and 13 clubs (black).

Therefore, the probability of drawing a black card (P(E1)) is:

P(E1) = Number of favorable outcomes / Total number of possible outcomes

P(E1) = 26 / 52

Simplifying this fraction, we get:

P(E1) = 1/2

So the probability of drawing a black card is 1/2.

To calculate the probability of drawing a numbered card (E2), we need to determine the number of numbered cards (2 through 10) in a standard deck.

Each suit (spades, hearts, diamonds, clubs) contains one card for each numbered value from 2 to 10, totaling 9 numbered cards per suit.

Therefore, the probability of drawing a numbered card (P(E2)) is:

P(E2) = Number of favorable outcomes / Total number of possible outcomes

P(E2) = 36 / 52

Simplifying this fraction, we get:

P(E2) = 9/13

So the probability of drawing a numbered card is 9/13.

To calculate the probability of both events occurring together (getting a black card and a numbered card), we multiply the individual probabilities:

P(E1 ∩ E2) = P(E1) × P(E2)

P(E1 ∩ E2) = (1/2) × (9/13)

Simplifying this fraction, we get:

P(E1 ∩ E2) = 9/26

Therefore, the probability of getting a black card and a numbered card is 9/26.

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Given:

The scale factor between two circles is \(\dfrac{2x}{5y}\).

To find:

The ratio of their areas.

Solution:

We know that, all circles are similar.

The ratio of the areas of similar figures is equal to the ratio of squares of their corresponding sides or equal to the square of ratio of their corresponding sides.

The scale factor is the ratio of the corresponding sides.

Ratio of areas of circles = Square of scale factor between two circles

\(\text{Ratio of areas of circles}=\left(\dfrac{2x}{5y}\right)^2\)

\(\text{Ratio of areas of circles}=\dfrac{(2x)^2}{(5y)^2}\)

\(\text{Ratio of areas of circles}=\dfrac{4x^2}{25y^2}\)

Therefore, the correct option is D.

Answer:

h(x) = 2(3)^x + 25

Step-by-step explanation:

The correct answer is A. 28 of the cats in the distribution are female

Explanation:

The table presented shows the number of female/male dogs and cats, as well as the total of animals in each category. Moreover, in this, the columns show the type of animal (dog or cat), while the rows show its gender (female/male). Also, these categories intersect to show the frequency. For example, number 32, which is the intersection of the categories Dog and Male shows there are 32 male dogs. In this context, if the number 28 joints the categories female and cat, this means 28 of the total animals are female cats and out of the total cats 28 are female. This makes option A the correct answer.

Answer: two-ways tables quiz

1. 38.0%

2. 54.4%

3. 28.5%

4. 21.3%

5. 71.5%

6. 21.8%

7. Twenty-eight of the cats in the distribution are female.

8. 74.4%

9. 49.4%

10. 62.0%

Step-by-step explanation:

The half life of the radioactive substance is 10.22 years.

Half Life is the amount of time needed by the radioactive substance to reduce to its half concentration (as compared to the initial concentration).

It is given that

y = ae⁻ᵇˣ

here a is the initial amount , y is the amount remaining after x years

a = 90mg at x =0

Value of y = 12.6 mg at x = 29 years

On substitution of value

12.6 = 90 e⁻²⁹ᵇ

0.14 = e⁻²⁹ᵇ

b = 0.0678

The equation is

\(\rm y = 90 e^{-0.0678 * x}\\\)

Half life is when the concentration is reduced to half

On 1st half life , the concentration = 90/2 = 45 mg

\(\rm 45 = 90 e^{-0.0678 * x}\\\)

x = 10.22 years

Therefore the half life of the radioactive substance is 10.22 years.

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The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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The value of 1+1 in base 10 is 2 and its value in base 2 is 10

Addition in math is a process of combining two or more numbers. Addends are the numbers being added, and the result or the final answer we get after the process is called the sum.

For example if there 20 apples, 30mangoes and 40 cashews in a basket. The total number of fruits in the basket is obtained by adding all the fruits together.

This is means the total number of of fruit = 20+30+40 = 90 fruits.

Therefore 90 fruits are in the basket.

Similarly, the addition of 1 and 1 will give

1+1 = 2. This answer is in base 10.

1+1 can also be in base two and 1+1 in base 2 = 10

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