Un medicamento tiene ciertos compuestos en las cantidades indicadas en la siguiente tabla:




Compuesto Cantidad en miligramos


A 0,6


B 0,402


C 0,08


D 0,46



Al ordenar la cantidad de compuesto que contiene dicho medicamento de menor a mayor, ¿Cuál es el orden correcto?

Answer:

total surface area (TSA) = \(2bs\) + \(b^{2}\)

                      length      = 6 mi

                    slant height = 7 mi

           ∴ TSA                   = 2 × 6 × 7 + \(6^{2}\)

                                       = 84 + 36

                                      = 120

The surface area of the square pyramid is 120 sq. mi.

Given:

side length (s) = 6 mi

slant height (l) = 7 mi

*image of a typical square pyramid is shown in the attachment below.

Recall:

Formula for surface area of square pyramid (SA) = \(A + \frac{1}{2} Pl\)

Where,

\(A =\) area of the base = \(s^2 = 6^2 = 36\) sq mi

\(P =\) perimeter of the base = \(4(s) = 4\times 6 = 24\) mi

\(l =\) slant height = 7 mi

Plug in the values

\(SA = 36 + \frac{1}{2}\times 24\times 7\\SA = 36 +84\\SA = 120\)

The surface area(SA) of the square pyramid is 120 sq. mi

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Answer:

Option 1, 4

Step-by-step explanation:

\(\frac{108}{8}=\frac{27}{4}=6.75 \\ \\ 169<170<196 \implies 13<\sqrt{170}<14 \\ \\ \therefore \frac{108}{8}<\sqrt{170}\)

The area of the domain enclosed by the curve with parametric equations x = tsin t, y = cost, t ∈ [0, 2π] is 2π + 2.

The parametric equations given are:

x = t sin t
y = cos t

To find the area of the domain enclosed by the curve, we can use the formula for the area of a region bounded by a curve given in parametric form:

A = ∫[a,b] y dx

where a and b are the limits of the parameter t that describe the domain of the curve.

In this case, we have:

a = 0
b = 2π

So, we need to compute:

A = ∫[0,2π] cos(t) (t sin(t)) dt

Using integration by parts with u = t and dv = sin(t) dt, we get:

A = [t cos(t)]|[0,2π] - ∫[0,2π] cos(t) dt + ∫[0,2π] sin(t) dt

The first integral evaluates to:

[t cos(t)]|[0,2π] = 2π

The second integral evaluates to:

∫[0,2π] cos(t) dt = [sin(t)]|[0,2π] = 0

The third integral evaluates to:

∫[0,2π] sin(t) dt = [-cos(t)]|[0,2π] = 2

Therefore, the area of the domain enclosed by the curve is:

A = 2π - 0 + 2 = 2π + 2

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The value of probability P(A) and P(B) and P(C) is 2/5 and 9/10 and 1/6.

According to the statement

we have given that the an urn contains five balls labeled 1 through 5. And   Three balls are removed from the urn one by one randomly.

And we have to find that the probability of the given conditions.

So, For this purpose, we know that the

On the first given condition

A. Since there is no information on the first draw, this probability simply equals:

P(A)=2/5

Alternatively, you could distinguish between drawing a 4 or 5 in the first turn or not. We can then calculate P(A) as:

P(A) = 2/5*1/4+3/5*2/4

P(A) = 8/20

P(A) = 2/5.

And on the second given condition:

B. The probability of drawing 1 or 2 or both is 1 minus the probability of drawing none:

P(B) = 1−3/5*2/4*1/3

P(B) = 1−1/10

P(B) = 9/10

And the third given condition is :

C. There are (5/3)=10 ways to choose the three numbers, and only one correct way to draw them.

We thus find:

P(C) = (5/3)/5*4*3

P(C) = 10/60

P(C) = 1/6

So, The value of probability P(A) and P(B) and P(C) is 2/5 and 9/10 and 1/6.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

An urn contains five balls labeled 1 through 5. Three balls are removed from the urn one by one randomly, and their numbers recorded in order. No balls are put back in the urn. Assume that all outcomes of the experiment are equally likely.

(i) Let A be the event that the second ball drawn is ball 4 or 5. Find P(A).

(ii) Let B be the event that the sample of three balls contains ball 1 or ball 2 or both. Find P(B).

(iii) Let C be the event that the three recorded numbers come in increasing order. Find  P(C).

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If the irreducible fraction pq is a root of the polynomial with integer coefficients, then p - kq divides f(k) for every integer k. This is because pq is a root of the polynomial, so 0 = f(pq) = (p - kq)f(k). Therefore, p - kq must divide f(k).

Let f(x) be the polynomial with integer coefficients, and let pq be an irreducible fraction that is a root of f(x). This means that 0 = f(pq) for some integer k. We can then write this as:

0 = f(pq) = (p - kq)f(k)

This means that p - kq must divide f(k). In other words, f(k) is divisible by p - kq for every integer k.

To see why this is true, we can think about what it means for a polynomial to have a root. A root of a polynomial is a value of x that makes the polynomial equal to 0. In this case, pq is a root of f(x), so f(pq) = 0. This means that when we plug in pq for x, the polynomial evaluates to 0.

We can also see this by expanding the product (p - kq)f(k). This gives us:

pf(k) - kqf(k)

If we plug in pq for x, we get:

p(0) - kqf(k) = 0 - kqf(k) = -kqf(k)

This means that 0 = f(pq) = -kqf(k), which proves that p - kq divides f(k).

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Answer:

A) Measure of an interior angle of polygon = 150°

B) No of sides = 12

C) Sum of all interior angles = 1800°

Step-by-step explanation:

Measure of interior angle of polygon = 180°- measure of exterior angle of polygon

= 180°-30°

= 150°

B.

\(No.\: of \: sides = \frac{360\degree}{30\degree} = 12\\\\C.\\Sum\:of\: all \:interior\: angles \\= (n-2)\times 180\degree\\= (12-2) \times 180\degree\\= 10\times 180\degree\\= 1800\degree\)

Answer:

150 square feet every half hour.

Step-by-step explanation:

Answer:

150 square feet

Step-by-step explanation:

Answer:

The domain of y = f(x) is [0,8]

Step-by-step explanation:

Since the straight line with negative slope begins on the y-axis at (0. 9) and exits the plane at (8, 1), we get is domain from the minimum and maximum values of x for which the function is valid.

So, the minimum value of x at which the function is valid is x = 0 and the function is y = f(0) = 9.The maximum value of x at which the function is valid is x = 8 and the function is y = f(8) = 1.

So, the domain of the function y = f(x) is [0,8]

Answer:

y = f(x) is [0,8]

Step-by-step explanation:

Answer:

The average monthly payment would be most affected by Mark's observation of one significantly lower payment. The reason is that the average is calculated by summing all the payments and dividing by the total number of payments, so any extreme values (such as the significantly lower payment) can have a substantial impact on the average value.

Step-by-step explanation:

One product/service that is currently in the decline stage is DVD rentals. The decline can be attributed to the rapid rise of digital streaming platforms and the decreasing popularity of physical media. Companies competing in a declining market have strategic options such as harvesting and divesting. Harvesting involves maximizing profits from the declining product/service by reducing costs and maintaining a loyal customer base, while divesting involves exiting the market and reallocating resources to more profitable ventures.

DVD rentals are in the decline stage of the product lifecycle due to several factors. The advent of digital streaming platforms like Netflix, Hulu, and Amazon Prime Video has revolutionized the way people consume media. The convenience and vast content libraries offered by these platforms have led to a significant decline in DVD rentals. Moreover, the proliferation of high-speed internet connections and the increasing availability of streaming devices have made it easier for consumers to access digital content.

In a declining market, companies have strategic options to consider. One option is harvesting, which involves maximizing profits from the declining product/service. Companies can achieve this by reducing costs associated with production, distribution, and marketing, as the demand for the product/service diminishes. They may also focus on retaining their loyal customer base by providing incentives, discounts, or exclusive offers. For example, DVD rental companies may lower rental fees, offer bundle deals, or introduce loyalty programs to retain their remaining customers.

Another strategic option is divesting, which involves exiting the declining market altogether. Companies may choose to reallocate their resources to more profitable ventures or invest in emerging technologies or industries. In the case of DVD rentals, companies could divest by shutting down physical rental stores and selling off their DVD inventory. They could then shift their focus to digital streaming services or invest in other areas with growth potential, such as content production or streaming device manufacturing.

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Using the .01 level of significance means that, in the long run, a Type I error occurs 1 time in 100. This means that if we perform a statistical test 100 times, and we set the level of significance at .01, then we can expect to observe one false positive result due to chance alone. So, the correct option is 1).

A Type I error occurs when we reject a true null hypothesis, or when we conclude that there is a significant difference or relationship between two variables when in fact there is not.

By setting the level of significance at .01, we are minimizing the risk of making a Type I error while increasing the risk of making a Type II error, which occurs when we fail to reject a false null hypothesis. So, the correct answer is 1).

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The set given in option F satisfies all the three conditions of subspace, therefore it is a subspace.  The subspaces of R3 are A, D, E and F.

Given set of options, the subspaces of R3 are: (a) {(2x,3x,4x)∣x arbitrary number }: To check if it is a subspace or not, we must check if it satisfies the three conditions of subspace:

1. Contain the zero vector - (0, 0, 0) is an element of the set.

2. Closed under addition - For u, v elements of the subspace, u + v must be an element of subspace.

3. Closed under scalar multiplication - For every u in subspace, c(u) must be an element of subspace where c is a scalar. The set given in option A satisfies all the three conditions of subspace, therefore it is a subspace.

(b) {(x,y,z)∣x,y,z>0}: It does not contain the zero vector, therefore it is not a subspace.

(c) {(x,y,z)∣x+y+z=0}: It contains the zero vector and is closed under addition but is not closed under scalar multiplication. Therefore, it is not a subspace.

(d) {(x,0,0)∣x arbitrary number }: It contains the zero vector, is closed under addition and scalar multiplication. Therefore, it is a subspace.

(e) {(x,y,z)∣−3x−4y+7z=−2}: It contains the zero vector, is closed under addition and scalar multiplication. Therefore, it is a subspace.

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The equation of the polynomial equation is P(x) = (x + 2)(x + 4)(x - 3)(x + 3)

The given parameters are

Leading coefficient = 1

Zeros =  − 2 , − 4 , 3 , and 3 .

Polynomial equations have their multiplicities to add up to their degree.

This means that the multiplicity of the zeros is 1

The equation of the polynomial is then calculated as

P(x) = (x - zero)^ multiplicity

So, we have

P(x) = (x + 2)(x + 4)(x - 3)(x + 3)

From the question, the polynomial is to be factored

This means that we represent it as

P(x) = (x + 2)(x + 4)(x - 3)(x + 3)

Hence, the polynomial equation is P(x) = (x + 2)(x + 4)(x - 3)(x + 3)

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Polynomial is an expression consisting of indeterminates and coefficients the factored form of polynomial function is (x+2)(x+4)(x-3)(x-3)

Polynomial is an expression consisting of indeterminates and coefficients, which involves  the operations like addition, subtraction, multiplication, and positive-integer powers of variables

Factors are the numbers which divide the expression or number with a remainder zero.

We need to write the factored form of the polynomial functions with real; coefficients and zeros minus two comma  minus four comma three and 3.

The leading coefficient of the polynomial is 1. Leading coefficient means coefficient of leading term.

Zeros =  − 2 , − 4 , 3 , and 3 .

Let the polynomial is of variable x.

The equation of the polynomial is then calculated as

P(x) = (x - zero)^ multiplicity

(x-(-2))=x+2

(x-(-4))=x+4

(x-3)=x-3

So the factored form is (x+2)(x+4)(x-3)(x-3)

the polynomial is P(x)=(x+2)(x+4)(x-3)(x-3)

Hence the factored form of polynomial function is (x+2)(x+4)(x-3)(x-3).

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The Linnaean class system provides a framework for understanding the diversity of life on Earth by grouping similar organisms together based on shared characteristics.

By comparing and contrasting the definitions of each class, we can see how different groups of animals are related to each other and how they differ in terms of their biological traits.

The Linnaean class system is a way of organizing living things based on shared characteristics. Let's compare and contrast the definitions of the Linnaean classes using a Venn diagram.

First, we have the class Mammalia, which includes all animals that have hair or fur, produce milk to feed their young, and have specialized teeth. This class overlaps with the class Aves, which includes all birds, because some birds have specialized beaks and feathers that are similar to mammalian hair and teeth. However, birds do not produce milk.

Next, we have the class Reptilia, which includes animals that are cold-blooded, lay eggs, and have scales or plates on their skin. This class overlaps with both Mammalia and Aves in terms of species that lay eggs, such as monotremes (platypus and echidnas) and some birds (ostriches and emus). However, reptiles lack specialized teeth and do not produce milk.

Finally, we have the class Amphibia, which includes animals that are cold-blooded, breathe through their skin, and undergo metamorphosis from a water-dwelling larval stage to a land-dwelling adult stage. This class overlaps with Reptilia in terms of some shared characteristics, but Amphibia also lacks specialized teeth and does not lay eggs with hard shells like reptiles.

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Answer:

7) independent-tickets

dependent -money

8) independent -products

dependent-bags

9)independent -weight

dependent -price

10)independent -time preiod of the hike

dependent-snacks

11) independent -no. of mushrooms

dependent -no. of tarts

12)independent -no. of trophies

dependent - no. of shelves

Both sine and cosine functions are solutions to this particular differential equation. These functions are commonly encountered in the study of oscillatory systems, such as simple harmonic motion.

Your question asks if there is a mathematical function that, when you take the derivative of it twice, the solution is the negative of that function. In other words, you are looking for a function f(x) such that f''(x) = -f(x).
The function you are looking for is the sine function, denoted by f(x) = sin(x). Here's a step-by-step explanation of how this function meets the criteria:
Start with the function f(x) = sin(x).
Take the first derivative with respect to x: f'(x) = cos(x).
Take the second derivative with respect to x: f''(x) = -sin(x).
As you can see, after taking the derivative twice, you obtain -sin(x), which is the negative of the original function, sin(x).
Another function that meets this criterion is the cosine function, g(x) = cos(x). Here's the step-by-step explanation:
Start with the function g(x) = cos(x).
Take the first derivative with respect to x: g'(x) = -sin(x).
Take the second derivative with respect to x: g''(x) = -cos(x).
After taking the derivative twice, you obtain -cos(x), which is the negative of the original function, cos(x).
Both sine and cosine functions are solutions to this particular differential equation. These functions are commonly encountered in the study of oscillatory systems, such as simple harmonic motion.

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Answer:  4   1/2

Step-by-step explanation:

Adding all the fractions you get 4 1/2

The discriminant is negative, the function have negative square roots which gives it an imaginary solution as well as it does not have real roots.

The x-intercepts of a function represent the points where the graph intersects the x-axis, meaning the y-coordinate is zero. These x-intercepts are also known as the solutions or roots of the function. In the given situation, we are considering the relationship -x² + 5x + 24 = 0 and the function f(x) = x² + 5x + 24.

The relationship -x² + 5x + 24 = 0 is a quadratic equation in the form ax² + bx + c = 0. To find its solutions, we can factor or use the quadratic formula. In this case, we can factor the equation as follows:

-(x - 3)(x + 8) = 0

From this factorization, we can see that the solutions to the equation are x = 3 and x = -8. These are the x-intercepts of the relationship -x² + 5x + 24 = 0.

Now let's consider the function f(x) = x² + 5x + 24. The zeros of this function are the values of x for which f(x) = 0. To find the zeros of the function, we can set f(x) = 0 and solve for x.

Setting x² + 5x + 24 = 0, we can use factoring or the quadratic formula to find the zeros. However, in this case, the quadratic equation does not factor nicely, so we will use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

For f(x) = x² + 5x + 24, we have a = 1, b = 5, and c = 24. Substituting these values into the quadratic formula, we get:

x = (-5 ± √(5² - 4(1)(24))) / (2 * 1)

x = (-5 ± √(25 - 96)) / 2

x = (-5 ± √(-71)) / 2

Since the discriminant (b² - 4ac) is negative, the square root of -71 results in imaginary solutions. Therefore, the function f(x) = x² + 5x + 24 does not have any real zeros.

In terms of the significance for this situation, the connection between the x-intercepts (solutions) of the relationship -x² + 5x + 24 = 0 and the absence of real zeros for the function f(x) = x² + 5x + 24 indicates that the arch described by this function does not intersect the x-axis. This means that the arch does not have any points where its height (y-coordinate) is zero. The x-intercepts of the relationship represent the points where the arch's height reaches zero, but the absence of real zeros for the function f(x) indicates that the arch remains above the x-axis for all values of x.

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a(2x + 3) = 10x + 15

For what value of a does 2x + 3 = 10x + 15?

2x + 3 = 5( 2x + 3)

a=5

The concept is the Vertical Lines. The Vertical Lines are a pair of opposing, congruent angles created by intersecting lines. It is option A.

An upward line is a line on the direction plane where every one of the focuses on the line have a similar x-coordinate. Because they are perpendicular to the ground and extend toward the sky, vertical lines frequently convey a sense of height.

At the point when two straight lines cross each other vertical points are shaped. Every vertical angle is equal and congruent.

By super-imposing the two pairs of non-adjacent angles created by intersecting two lines, vertical angles are congruent.

Every vertical angle has the same length. We call angles congruent when their measurements are the same.

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Question:

Which of coming up next is best depicted as a couple of inverse points shaped by crossing lines?

A. Vertical angles

B. Supplementary angles

C. Complementary angles

D. Linear pair

Final answer is: A + B = pi/6 radians to 3 decimal places.

We can use the trigonometric identity:

tan(A + B) = (tan A + tan B) / (1 - tan A tan B)

Using this identity, we can rewrite the given equation as:

2 - 2 tan A tan B = 1 + tan A + tan B + tan A tan B

Simplifying this, we get:

tan A + tan B = 1

Now, we can substitute tan A = x and tan B = 1 - x to obtain a quadratic equation:

x + 1 - x = 1

x^2 - x + 1 = 0

The roots of this quadratic equation are given by:

x = [1 ± sqrt(3)i] / 2

Since we are interested in real values of A and B, we take the root with the positive imaginary part:

x = (1 + sqrt(3)i) / 2

Therefore,

tan A = x = (1 + sqrt(3)i) / 2

tan B = 1 - x = (1 - sqrt(3)i) / 2

To find A + B, we can use the formula:

A + B = arctan(tan A + tan B)

Substituting the values of tan A and tan B, we get:

A + B = arctan((1 + sqrt(3)i) / 2 + (1 - sqrt(3)i) / 2)

Simplifying this expression, we get:

A + B = arctan(1/sqrt(3)) = pi/6

Since the interval is [,3), we note that pi/6 is within this interval. Therefore, our final answer is:

A + B = pi/6 radians to 3 decimal places.

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Answer:

Step-by-step explanation:

opposite sides are congruent

so  a + 19 = 33

a + 19 - 19 = 33 - 19

a = 14

consecutive angles are supplementary - they equal 180°

4r + 2r = 180

6r = 180

6r/6 = 180/6

r = 30

opposite angles are congruent

so 2r = z

if r = 30

2(30) = z

60 = z

Answer:

That would be 14 miles ÷ 6 hours which would be 2.3333 or 2 and 1/3

The function rule for renting the tent for n nights is t(n) = 30 + 5n.

The amount of money I have to pay if I rent the tent for 8 nights is $ 70.

Given that:-

Non-refundable fee charged by tents r us to reserve the tent = $ 30

Additional fee charged per night by tents r us = $ 5

We have to find the function rule for renting the tent for n nights and the amount of money I have to pay if I rent the tent for 8 nights.

We know that,

Function rule for renting the tent for n nights = Non-refundable fee + charge per night

Hence, we can write,

t(n) = 30 + 5n

Using the formula, putting n = 8, we get

t(8) = 30 + 5*8 = 30 +40 = $ 70.

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Answer:

82% is her highest score

Step-by-step explanation:

82 is greater than 23, 80, 17 and 20

Answer: is the teacher mr.Burks? what school you go to if it is costa mesa high i know i had her and still have the notes!

i think it its nico and katie but just wait for someone else to answer

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx

where

k is the constant of proportionality or slope

In this problem

we have a proportional relationship between the land planted and the wheat produced

Let

l ----> number of acres

w ----> wheat produced

so

w=kl

take the point (1,50)

Find teh value of k

k=w/l

k=50/1=50

therefore the equation is equal to

w=50l

The normal curve, also known as the Gaussian distribution or the bell curve, is a continuous probability distribution that is symmetrical around its mean.

The normal curve has several properties that make it particularly useful in modeling real-world phenomena. Firstly, it is unimodal, meaning it has a single peak. Secondly, it is symmetric, meaning that the curve is identical on both sides of the mean. Thirdly, it is defined by two parameters, the mean and standard deviation, which determine the location and spread of the curve.

Finally, approximately 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations, making it a useful tool for understanding and analyzing large datasets.

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Answer:

488

Step-by-step explanation: