Give the equations of the asymptotic of f(x),g(x) and h(x)

Answer:The answer is B

Step-by-step explanation:

The formal is A = a+b/2 time h

You just substitute the variables and get the answer

By using equation in two variable we need to use 2 eggs to make all the cookies with 1.33 cups of butter.

To make six dozen cookies, the recipe calls for two cups of butter and three eggs. We can use proportionality to solve this question: If 2 cups of butter require 3 eggs to make 6 dozen cookies, then 1.33 cups of butter require x eggs to make all of the cookies.

x eggs = (1.33 cups of butter x 3 eggs)/(2 cups of butter). x = 1.99 eggs. Since we cannot use .99 eggs to make cookies, we would need to round up to the nearest whole number of eggs.

Therefore, we need to use 2 eggs to make all the cookies with 1.33 cups of butter.

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The measure of variability should be used for both sets of data to determine the location with the most consistent temperature is IQR (Interquartile Range).

The reason for this is that IQR is less sensitive to extreme values or outliers, which can affect the range significantly. In the case of the histograms provided, it appears that Sunny Town is skewed and Desert Landing is roughly symmetric, which further supports the use of IQR as a measure of variability.

Therefore, we can calculate the IQR for both sets of data and compare them to determine which location has the most consistent temperature.

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Yes, the equation y = 5x represents a proportional relationship

Two or more expressions with an Equal sign is called as Equation.

The given equation is y=5x.

In a proportional relationship, the ratio of y to x is constant.

In the given equation the variable x and y has a proportional relationship.

The equation is in the form of y=mx+b

the ratio of y to x is 5, meaning that for every unit increase in x, y increases by 5 units.

Hence,  Yes, the equation y = 5x represents a proportional relationship

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Answer:

13.5 meters

Step-by-step explanation:

25 / 2 = 13.5

because if a human is 3 meters tall and cast 2 times the length of himself then if a building casts 25 meters then it should be 2 times less than its shadow.

Answer:

0

Step-by-step explanation:

all real numbers are solutions

Answer:

Y= (-27)

Step-by-step explanation:

Well, I am assuming your just looking for Y. So what I did was you'd want to get rid of the fraction first. I multiplied 3 to all the numbers. so -12(3) = 6(3) + 2y since the bottom 3 from the fraction cancelled out with the (3). so now it would be -36=18+2y. -54/2=2y/2 which leads to -27. So I think Y= -27.

Answer:

a) 36

b) 20

c) 6

Step-by-step explanation:

Given Formula:

\(\frac{1}{2}\)(b x h)

Steps for A:

\(\frac{1}{2}\)(12 x 6)

12 x 6 = 72

72 ÷ 2 = 36

Steps for B:

\(\frac{1}{2}\)(10 x 4)

10 x 4 = 40

40 ÷ 2 = 20

Steps for C:

\(\frac{1}{2}\)(3 x 4)

3 x 4 = 12

12 ÷ 2 = 6

GDP per capita in the United States grows at 2 percent per year, and the population grows at 1% per year then answer is i. C/GDP = 0.7 ii. G/GDP = 0.2 iii. K/GDP = 0.3 iv. X/GDP = 0.4 v. rk/Y = 0.06

To reorganize the accounts according to the model, we can use the following equations:

C = cY

G = gY

I = kY

X = rX

M = mY

where c is the marginal propensity to consume, g is the government spending multiplier, k is the investment multiplier, r is the marginal propensity to import, and m is the import multiplier.

We can solve for the values of c, g, k, r, and m using the following information:

The population grows at 1% per year.

GDP per capita grows at 2% per year.

NA/N = 0.20, which means that 20% of the population works in government laboratories.

We can use the following steps to solve for the values of c, g, k, r, and m:

Set Y = $15,000.

Set GDP per capita = $15,000 / 1.01 = $14,851.

Set c = (GDP per capita - mY) / Y = (14,851 - 0.1Y) / Y = 0.694.

Set g = (G - NA) / Y = (2,000 - 0.2Y) / Y = 0.196.

Set k = (I - NA) / Y = (4,000 - 0.2Y) / Y = 0.392.

Set r = (X - M) / Y = (3,000 - 1,000) / Y = 0.667.

Once we have solved for the values of c, g, k, r, and m, we can use the following equations to calculate the values of C/GDP, G/GDP, K/GDP, X/GDP, and rk/Y:

C/GDP = cY/Y = 0.694

G/GDP = gY/Y = 0.196

K/GDP = kY/Y = 0.392

X/GDP = rX/Y = 0.667

rk/Y = rk/Y = 0.06

Therefore, the values of C/GDP, G/GDP, K/GDP, X/GDP, and rk/Y are 0.7, 0.2, 0.3, 0.4, and 0.06, respectively.

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Answer:  

w=2 , w=6 are the zeroes of the expression

Explanation:

We have been given the expression

after cross multiplication of the given expression so as to simplify it we will get

Solution to the given equation is w=2,w=6

Therefore these are the solutions of the given expression.

The length of one side of the square is 24/7 cm.

Let the side length of the square be x.

Since the square has one side on the hypotenuse of triangle ABC and a vertex on each of the two legs, we can form two smaller right triangles within the larger triangle ABC.
Label the vertices of the square touching legs AB and AC as D and E, respectively.

Triangle ADE is similar to triangle ABC by AA similarity (both have a right angle and angle A is common).
Set up a proportion using the side lengths:

AD/AB = DE/AC, or (6-x)/6 = x/8.
Cross-multiply to find 8(6-x) = 6x.
Simplify to 48 - 8x = 6x.
Add 8x to both sides to get 48 = 14x.
Divide by 14 to find x = 48/14, which simplifies to x = 24/7.
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Answer:

x = g/cy

Step-by-step explanation:

To solve for x, we need to isolate it on one side of the equal sign algebraically. In this case, since  is being multiplied by  and  we can divide both sides by  and  to isolate 

Answer:

ur screwed but the answer is 110.88

Step-by-step explanation:

:)

To compute the effect size, we can use the formula:

ES = (|Ž - X|) / SD

where Ž is the mean for Group 1, X is the mean for Group 2, and SD is the standard deviation from either group as the given question.

Using the given values, we have:

Experiment 1: ES = (|78.6 - 73.4|) / 2 = 2.6

Experiment 2: ES = (|78.6 - 73.4|) / 4 = 1.3

Experiment 3: ES = (|78.6 - 73.4|) / 8 = 0.65

From the experiments 1, 2, 3, we can see that the standard deviation increases, the effect size decreases.

It means that the larger SD makes it harder to detect a meaningful difference between the two groups.

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The possible outcomes using exactly 11 heads is 12376.

A coin toss has two possible results: heads or tails.

The result of each and every coin flip will either be heads or tails.

Therefore, the two results (heads or tails) are mutually exclusive; if the coin lands on heads during one toss, it cannot land on tails at that same toss.

Total number of different outcomes for 17 times toss = 2¹⁷

Exactly  11 heads can be found by combination ( exactly n heads possibility can be found by ¹⁷Cn =¹⁷C₁₁

¹⁷C₁₁ =  factorial 17 ÷ (factorial (17 -11)× factorial 11)

¹⁷C₁₁ = 12376

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Answer:

400689

Step-by-step explanation:

(2√x+y)²

(2√16+625)²

(2.4+625)

(8+625)²

(633)²

400689

Answer:

h=11x3

Step-by-step explanation:

trust me, I have done this problem already

Answer:

  67 square units

Step-by-step explanation:

The area using the left-hand sum is the sum of products of the function value at the left side of the interval and the width of the interval.

The attachment shows a table of the x-value at the left side of each interval, and the corresponding function value there. The interval width is 1 unit in every case, so the desired area is simply the sum of the function values.

The approximate area is 67 square units.

Split up the interval [0, 6] into 6 equally spaced subintervals of length \(\Delta x = \frac{6-0}6 = 1\). So we have the partition

[0, 1] U [1, 2] U [2, 3] U [3, 4] U [4, 5] U [5, 6]

where the left endpoint of the \(i\)-th interval is

\(\ell_i = i - 1\)

with \(i\in\{1,2,3,4,5,6\}\).

The area under \(f(x)=x^2+2\) on the interval [0, 6] is then given by the definite integral and approximated by the Riemann sum,

\(\displaystyle \int_0^6 f(x) \, dx \approx \sum_{i=1}^6 f(\ell_i) \Delta x \\\\ ~~~~~~~~ = \sum_{i=1}^6 \bigg((i-1)^2 + 2\bigg) \\\\ ~~~~~~~~ = \sum_{i=1}^6 \bigg(i^2 - 2i + 3\bigg) \\\\ ~~~~~~~~ = \frac{6\cdot7\cdot13}6 - 6\cdot7 + 3\cdot6 = \boxed{67}\)

where we use the well-known sums,

\(\displaystyle \sum_{i=1}^n 1 = \underbrace{1 + 1 + \cdots + 1}_{n\,\rm times} = n\)

\(\displaystyle \sum_{i=1}^n i = 1 + 2 + \cdots + n = \frac{n(n+1)}2\)

\(\displaystyle \sum_{i=1}^n i^2 = 1 + 4 + \cdots + n^2 = \frac{n(n+1)(2n+1)}6\)

The length of one side of the square is approximately 0.4 units.

Let's assume that the side length of the square is "s" units.

When the square sheet of paper is cut in half along the diagonal, it forms two equal right-angled triangles. The area of each triangle is given as 0.08 square units.

The formula for the area of a right-angled triangle is:

Area = (1/2) * base * height

Since the triangles are equal, we can write:

0.08 = (1/2) * base * height

Now, let's find the base and height of one of the triangles. Since the triangle is a right-angled triangle, the base and height are the legs of the triangle.

Let's assume the base and height of one triangle are "b" and "h," respectively.

0.08 = (1/2) * b * h

We are given that the area of each triangle is 0.08 square units, so we can write:

0.08 = (1/2) * s * s

Now, we can solve for "s":

\(s^2 = 0.08 * 2\\s^2 = 0.16\)

Take the square root of both sides:

\(s = \sqrt{0.16}\\s \approx 0.4\)

So, the length of one side of the square is approximately 0.4 units.

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Answer:

right by 3 I think

Step-by-step explanation:

Answer: Right by 3 Units

Step-by-step explanation:

Right on edge 2021

The written form of 20 to 5 as a ratio in lowest terms as required is; 4 : 1.

It follows from the task content that 20 to 1 is required to be written as a ratio using lowest terms.

To write a representation such as 20 to 5 as a ratio; we have that;

20 : 5

However, to express the ratio in it's simplest form; we must divide both ratio terms by their greatest common factor which is 5.

Therefore, we have; 20/5 : 5/5

Ultimately, the required ratio on simplest terms is; 4 : 1.

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\(5x+10y=25\)

Add -10y to both sides:

\(5x+10y+-10y=25+-10y\)

\(5x=-10y+25\)

Divide both sides by 5:

\(\dfrac{5x}{5} =\dfrac{-10y+25}{5}\)

\(\fbox{y = -2y + 5}\)

Both conditions are satisfied. Therefore, the series \(\sum_{n=1}^{\infty} \frac{(-1)^n}{4n}\) converges. The series \(\sum_{n=1}^{\infty} n \cdot (-1)^n \cdot \left(\frac{1}{3.5}\right)^n\)  converges absolutely.

To determine the convergence of a series, we can apply various convergence tests. Let's analyze each series separately:

1. \(\sum_{n=1}^{\infty} \frac{(-1)^n}{4n}\)

This series is an alternating series since it alternates between positive and negative terms. To determine its convergence, we can use the Alternating Series Test. The Alternating Series Test states that if a series of the form \(\sum_{n=1}^{\infty} (-1)^{n-1} \cdot b_n\)  satisfies the following conditions:

1. The terms \(b_n\) are positive and decreasing for all n.

2. The limit of \(b_n\) as n approaches infinity is zero.

In our case, \(b_n = 1/(4n)\). Let's check the conditions:

Condition 1: The terms \(b_n = 1/(4n)\) are positive for all n.

Condition 2: Let's calculate the limit of b_n as n approaches infinity:

\(\lim_{{n \to \infty}} \left(\frac{1}{{4n}}\right) = 0\)

Both conditions are satisfied. Therefore, the series \(\sum_{n=1}^{\infty} \frac{(-1)^n}{4n}\) converges.

2. \(\sum_{n=1}^{\infty} n \cdot (-1)^n \cdot \left(\frac{1}{3.5}\right)^n\)

To determine the convergence of this series, we can use the Ratio Test. The Ratio Test states that for a series \(\sum_{n=1}^{\infty} a_n\) , if the following limit exists:

\(\lim_{{n \to \infty}} \left| \frac{{a_{n+1}}}{{a_n}} \right| = L\)

1. If L < 1, the series converges absolutely.

2. If L > 1, the series diverges.

3. If L = 1, the test is inconclusive.

In our case, \(a_n = \frac{n \cdot (-1)^n}{3.5^n}\) . Let's apply the Ratio Test:

\(\left| \frac{{(n+1) \cdot (-1)^{n+1}}}{{3.5^{n+1}}} \div \frac{{n \cdot (-1)^n}}{{3.5^n}} \right|\)

               \(\left| \frac{{(n+1)/n \cdot (-1)^2}}{{3.5}} \right|\)

              \(\left| \frac{{n+1}}{{n}} \right| \cdot \frac{1}{3.5}\)

            \(\frac{{n+1}}{{n}} \cdot \frac{1}{3.5}\)

Taking the limit as n approaches infinity:

\(\lim_{{n\to\infty}} \left(\frac{{n+1}}{n} \cdot \frac{1}{3.5}\right) = \frac{1}{3.5}\)

Since 1/3.5 < 1, the series \(\sum_{n=1}^{\infty} n \cdot (-1)^n \cdot \left(\frac{1}{3.5}\right)^n\) converges absolutely.

Therefore, both series converge.

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the density of air at 127°C and 5 bar is 0.1372 kg/m³.The answer to the question is option b) 0.1372 kg/m³.

The given parameters are,Temperature (T) = 127°C (400K)Pressure (P) = 5 bar (5 × 10⁵ Pa)

The formula for the density of air can be given as:ρ = (P/RT) × (M)

where,R is the gas constantT is the temperature

M is the molecular weight of air

Now, we will calculate the density of air using the above formula. Firstly, we need to calculate the molecular weight of air.

The molecular weight of air (M) = 28.97 g/mol

Now, we will calculate the gas constant R using the formula:

R = 8.3143 J/mol KNow, we will substitute the given values in the formula for density,ρ = (P/RT) × M= (5 × 10⁵)/(8.3143 × 400) × 28.97= 0.1372 kg/m³

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a.  The distribution function g(N, s) of the ensemble is g(N, s) = (N choose (N + s) / 2) - (N choose (N - s) / 2). (b). σrel(N, s) = 1/sqrt(N) * [2 * N / ((N + s) * (N - s))] * sqrt(N/2). (c). σ(10N, s)/σ(N, s) = sqrt(5). (d). 0.3162.

(a) The distribution function g(N, s) of the ensemble is g(N, s) = (N choose (N + s) / 2) - (N choose (N - s) / 2).

b. Using Stirling's formula, g(N, s) can be converted to a Gaussian function and its corresponding fluctuation σ(N, s) can be found.σ(N, s) = sqrt(N/2), σrel(N, s) = 1/sqrt(N)

For the ensemble of N spin 1/2 systems, the distribution function g(N, s) is given by:

g(N, s) = (N choose (N + s) / 2) - (N choose (N - s) / 2)

By simplifying the above formula, we get:

g(N, s) = [N! / ((N + s)!/2!)] - [N! / ((N - s)!/2!)]

g(N, s) = [2 * N! / ((N + s)! * (N - s)!)] * s

Now, we apply Stirling's formula, which is given by:

n! ≈ sqrt(2πn) * (n/e)^nσ(N, s) = sqrt(N/2), σrel(N, s) = 1/sqrt(N)

Using this formula, we can convert g(N, s) to a Gaussian function.

σ(N, s) = sqrt(N/2) * [2 * N / ((N + s) * (N - s))] * σ(N, s)

σ(N, s) = [2 * N / ((N + s) * (N - s))] * sqrt(N/2)

σrel(N, s) = 1/sqrt(N) * [2 * N / ((N + s) * (N - s))] * sqrt(N/2)

c. The ratio σ(10N, s)/σ(N, s) can be calculated as:

σ(10N, s)/σ(N, s) = sqrt(10N/2) / sqrt(N/2)

σ(10N, s)/σ(N, s) = sqrt(5)

d. The ratio σrel(10N, s)/σrel(N, s) can be calculated as:

σrel(10N, s)/σrel(N, s) = (1/sqrt(10N)) / (1/sqrt(N))

σrel(10N, s)/σrel(N, s) = sqrt(N/10N)

σrel(10N, s)/σrel(N, s) = 1/sqrt(10) = 0.3162 (approx.)

Therefore, the ratio of the relative fluctuation is 0.3162 (approx.).

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It's where the final result of the analysis is presented, and it's where you answer the research question that you set out to answer. In other words, the main component of your report since it summarizes the findings of your research.

It should start with a clear and concise statement that summarizes the findings of your research. You should then present the main findings of your analysis, followed by a discussion of how these findings relate to your research question.

Section of a report is where all the calculations performed on a group in a report are added. It's where you present the final result of your analysis, and it's where you answer the research question that you set out to answer. It should be written in clear, concise, and precise language that is easy to understand.

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Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.