2. a chicken farmer also has some cows for a total of 30 animals and the animals have 74 legs in all. how many chickens does the farmer have? 23

Answer:

  -56

Step-by-step explanation:

It is often easiest to find terms of a sequence by simply writing each one based on the previous one. Here, the common ratio of -2 tells you that each term is -2 times the previous term.

The first four terms are ...

  7, -14, 28, -56

The fourth term is -56.

At t=0, the wavefunction of a particle with mass m is given by:

Ψ(x,0)=[81ψ1(x)+61ψ2(x)+83ψ3(x)+31ψ4(x)].

We have to find out:

If we measure the energy of the system, what possible values could we obtain?

The probability of measuring each of these values.

The expectation value of the energy, ⟨E⟩.

The uncertainty in energy, σ E.

From the information given, the possible energy values are

E =-E0, -2E0, -3E0 and -4E0,

where E0 is a constant.

What is the probability of measuring each of these values?

The probability of finding the particle at x is |Ψ(x, t)|^2

The probability of measuring the energy for different levels is given as,

The probability of measuring

E1 = (8^2/81)

= 64/81.

The probability of measuring

E2 = (6^2/81)

= 4/27.

The probability of measuring E3 = (8^2/81) = 64/81.

The probability of measuring E4 = (3^2/81) = 1/9.

What is the expectation value of the energy, ⟨E⟩?

The expectation value of the energy is given by,⟨E⟩= Σ(E_n)(|C_n|^2)

Where Cn is the coefficient of the nth state.

⟨E⟩= (8^2/81)(-E0) + (6^2/81)(-2E0) + (8^2/81)(-3E0) + (3^2/81)(-4E0)

⟨E⟩= (-64E0/81) + (-24E0/81) + (-192E0/81) + (-12E0/81)

⟨E⟩= - 292E0/81.

What is the uncertainty in energy, σ E?

The uncertainty of energy can be calculated as follows,

σ E = sqrt(⟨E^2⟩ - ⟨E⟩^2)

Where ⟨E^2⟩ is the expectation value of E^2

σ E = sqrt{ [((64*64)+(6*6)+(64*64)+(3*3))/81] - [(-292E0/81)^2] }

σ E = 37E0/27.

Answer:(a) The possible values of E are -E0, -2E0, -3E0 and -4E0.

(b) The probability of measuring

E1 = 64/81, E2 = 4/27, E3 = 64/81 and E4 = 1/9.

(c) The expectation value of the energy,

⟨E⟩ = - 292E0/81.

(d) The uncertainty in energy, σ E = 37E0/27.

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Answer:

arc EI = 103°

arc EGI = 257°

Step-by-step explanation:

arc HI = 77° because they are alternate angles

arc EI = (360° - 77° - 77°)/2 = 103°

arc EGI = 360° - 103° = 257°

The variable rate is calculated as a fraction of the total cost and a variable that is unknown. This fraction of the total cost is used to represent the variable cost per unit. The following is how to calculate the variable rate:Answer: b. variable cost divided by salesTo determine the variable rate, divide the variable cost by sales. The variable rate, sometimes known as the unit variable cost, is an important component of a company's income statement. It helps to calculate the costs associated with each unit of production.The variable rate is determined using the following formula:Variable rate = Variable cost / SalesVariable cost refers to the cost of producing a single unit of the product or service. It includes all of the expenses that vary as the level of output changes, such as the cost of raw materials and labour. Sales, on the other hand, refer to the total number of products sold in a given time period.

Answer:

The slope of any equation that is in the form of y = mx + c is the m

Step-by-step explanation:

If you want to know a certain slope. Please provide the equation

\(y=mx+b\)

\(m\) is the slope.

\(m=y_{2} -y_{2}/x_{2}-x_{1}\)

The table says:

\(x : -4 , -2 , 0 , 2 , 4\\ y : -16 , -6 , 4 , 14 , 24\)

\(m=-6 --16/-2--4\)

\(m=10/2\)

\(m=5\)

the equilibrium pressure of HBr is 0.0744 atm (to three decimal places).

The equilibrium pressure of HBr can be calculated using the following expression:

K = \((P(HBr))^2 / (P(H2) x P(Br2))\)

Rearranging this expression, we get:

P(HBr) = \(\sqrt {(K x P(H2) x P(Br2))}\)

Substituting the given values, we get:

P(HBr) = \(\sqrt {(0.00550 x 1.000 atm x 1.000 atm)}\) = 0.0744 atm

Therefore, the equilibrium pressure of HBr is 0.0744 atm (to three decimal places).

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By applying the exponent rule of division, the equivalent expression to  \(r^m \div r^n\) is: A. \(r^{m - n}\).

Given the expression, \(r^m \div r^n\), we can find the expression that is equivalent to it by rewriting the expression as shown below:

r^m ÷ r^n

According to the exponent rule of division, if we are to divide two bases together that have the same same base but different exponents, what we only need to do is to subtract their powers.

We would apply this same rule in this given problem.

Applying the exponents rule of division, we would subtract the powers:

r^m ÷ r^n = r^(m - n)

Therefore, by applying the exponent rule of division, the equivalent expression to  \(r^m \div r^n\) is: A. \(r^{m - n}\).

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Answer:

The answer to the nearest tenth is 4.8%.

Step-by-step explanation:

Let's assume there are 100 seventh graders at Washington Junior High, then there are 1.5*100 = 150 eighth graders.

The percentage of seventh graders that participate in mathcounts is 3%, which is 0.03 * 100 = 3 students.

The percentage of eighth graders that participate in mathcounts is 6%, which is 0.06 * 150 = 9 students.

The total number of students participating in mathcounts is 3 + 9 = 12 students.

The total number of seventh and eighth graders is 100 + 150 = 250 students.

So the percentage of seventh and eighth graders that participate in Mathcounts is (12/250) * 100% = 4.8%.

Therefore, the answer to the nearest tenth is 4.8%.

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The equation of the parabola that models the flight of the ball is y = ax^2 + 25, where a can be any non-zero real number.

The equation of the parabola that models the flight of the ball can be expressed in the standard form: y = ax^2 + bx + c.

Since the ball is kicked from the origin, the equation simplifies to y = ax^2 + c.

To find the values of a and c, we can use the given information. The ball reaches a maximum height of 25 feet, which means the vertex of the parabola is at the point (0, 25). This gives us c = 25.

Now we need to determine the value of a. Since the maximum height occurs at the vertex, the x-coordinate of the vertex is 0. Additionally, we know that the ball hits the ground 100 feet from where it was kicked. The x-coordinate at that point is 100. Therefore, we can use the vertex form of the parabola equation, which is x = -b/2a, to find a.

Substituting the known values, we have 0 = -b/2a, which implies b = 0. Therefore, a can be any non-zero value.

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%120 your answer should be like 3×3×2×2×0

Answer:

D

Step-by-step explanation::

i chose C but found out the right answer was D. { on Edginuity 2022 :) }

hello

from the question given we know that he area of a rectangle is given as

there are two possible set of values for L and W which will give 15 and they are either 3 and 5 or 1 and 15 or 5 and 3 or 15 and 1.

so the set of possible values are

Answer:

9x+27

Step-by-step explanation:

7x+21+2x+6

9x+27

Answer:

\( \sf9x + 27\)

Step-by-step explanation:

Given expression,

→ 7(x + 3) + 2(x + 3)

Let's simplify the expression,

→ 7(x + 3) + 2(x + 3)

→ 7x + 21 + 2x + 6

→ (7x + 2x) + (21 + 6)

→ 9x + 27

→ 9(x + 3)

Hence, answer is 9x + 27.

The image of the triangle when rotated is F' = (8, 7), G' = (1, 1) and H' = (4, 8)

The vertices of the triangle are given as:

F = (-7,8)

G = (-1,1)

H = (-8,4)

The transformation rule is given as

270 degrees counterclockwise rotation

The rule of 270 degrees counterclockwise rotation is

(x,y) = (y,-x)

When the above rule is applied to the vertices of the triangle, we have:

F' = (8, 7)

G' = (1, 1)

H' = (4, 8)

Hence, the image of the triangle when rotated is F' = (8, 7), G' = (1, 1) and H' = (4, 8)

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Answer:

0=8, no soluction

<3

Red

Answer:

0=-8

Step-by-step explanation:

3x+14=3x+6

3x+14-14=3x+6-14

3x=3x-8

3x-3x=3x-8-3x

0=-8

Answer:

Step-by-step explanation:

By subtracting 2 from both sides, we get the equivalent inequality

x>−5 .

So, the solution set is

{x | x>−5} .

==========================================================

Explanation:

The tri-inequality A < B < C breaks up into A < B and B < C

Use this idea to break up 2 ≤ 2x < x+5 into these two pieces

We'll solve each inequality individually.

Let's start with the first one.

2 ≤ 2x

2/2 ≤ 2x/2

1 ≤ x

Now onto the second inequality

2x < x+5

2x-x < x+5-x

x < 5

-------------------------

From here recombine 1 ≤ x and x < 5  to get  1 ≤ x < 5

If x is an integer only, then the roster set of solutions that satisfy this inequality is {1, 2, 3, 4}. Notice 5 is not part of the solution set, but 1 is.

We can replace x with any of those items in bold to get a true statement.

For instance, let's replace x with 3.

1 ≤ x < 5 updates to 1 ≤ 3 < 5 which is true

Let's go back to the original tri-inequality and replace each x with 3. Then simplify each side.

2 ≤ 2x < x+5

2 ≤ 2*3 < 3+5

2 ≤ 6 < 8

We end up with a true statement, which verifies that x = 3 is one of the integer solutions. I'll let you verify the other values 1,2, and 4.

The expression log (5.2) / log 5 * log 2 can be simplified using logarithmic properties. The simplified form is log base 5 of 5.2 times log base 5 of 2.

To simplify the expression log (5.2) / log 5 * log 2, we can utilize logarithmic properties.

Firstly, the quotient rule of logarithms states that log (a/b) is equal to log a - log b. Applying this rule, we have:

log (5.2) / log 5 = log 5.2 - log 5.

Next, the product rule of logarithms states that log (a * b) is equal to log a + log b. Applying this rule to the expression log 5.2 - log 5 * log 2, we get:

log 5.2 - log 5 * log 2 = log 5.2 - log (5 * 2) = log 5.2 - log 10.

Further simplifying, we can apply the logarithmic property that log base a of a is equal to 1. In this case, log base 10 of 10 is equal to 1. Therefore, the expression becomes:

log 5.2 - 1.

Thus, the simplified form of log (5.2) / log 5 * log 2 is log 5.2 - 1.

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Given:

A stock is worth $19,500 and grows 7% in one day.

The increase of one day =

So, the new value =

So, the answer will be the new value = $20,865

The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

According to the statement

we have given that the allele frequency of the dominant allele is 0.4, and we have to find that the value of p^2 in the equation p^2+ 2pq + q^2 = 1.

So, For this purpose, we know that the

The allele frequency represents the incidence of a gene variant in a population. Alleles are variant forms of a gene that are located at the same position, or genetic locus, on a chromosome.

And here

allele frequency is the 0.4 and represent the value of P.

So, The value of p is 0.4 and the

Then p^2 = (0.4)^2

so, the value becomes

p^2 = (0.4)^2

p^2 = 0.16.

So, The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

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Answer:

The answer is noncollinear

Step-by-step explanation:

Answer:

Non-collinear because the points dont line up to be colinnear. learned this today dead a** its not hard. pay attention

Step-by-step explanation:

The equation of line that passes through the point (8,6) and has a slope of 0 is y = 6.

As the sated question-

The passing point; (x1, y1) =  (8,6)

slope m = 0

Thus, equation lo line by slope intercept form is-

y - y1 = m(x - x1)

y - 6 = 0(x - 8)

y = 6

Thus, the equation of the line that passes through the point (8,6) and has a slope of 0 is y = 6.

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Domain: (-∞, ∞)

Range: (-∞, ∞)

Domain and range help us describe the values a graph covers.

Defining Domain and Range

Remember that the x-values are along the horizontal axis, and the y-values are on the vertical axis.

The function given to us extends infinitely to the left and right as shown by the arrows. Additionally, the graph extends up and down infinitely; thus the range is also infinite.

Interval Notation

Interval notation should be written as (minimum value, maximum value). If the minimum and maximum values are included within the range or domain, then the parentheses should be replaced with brackets. This looks like [included minimum, included maximum]. Since a function cannot actually include infinity, an infinity symbol should never have brackets.

Eventually, this linear function will reach every single x and y-value in existence. So, both axes have a minimum of -∞ and a maximum of ∞. Thus, both the domain and range are (-∞, ∞).

Hint for future problems: all linear functions will have a domain and range of (-∞, ∞).

Answer:

The angle measures \(\frac\pi2\) radians, or 90°

Step-by-step explanation:

In radians, the measure of an angle is defined as the length of the arc divide by the radius of the circle of which that arc is part of. In our case

\(\angle XOY = \frac {\overarc{XY}}{OX} = \frac{16\pi}{32} = \frac\pi2\)

Answer:

angle XOY = \(\frac{\pi}{2}\) (in radians) or 90° (in degrees)

Step-by-step explanation:

So firstly we need to consider that the unit of measurement is radians, not degrees, as represented by the 'measures 16π cm'.

Next, since we have the length of arc XY given as 16π cm, we can apply the formula for the length of an arc, in radians, which is \(l=r\theta\).

I'm assuming that you know how to derive the formula for arc length since you are getting questions about arc length like this, but if not, then you can just search on the internet: "derivation for the formula of arc length in radians"

Therefore: we should let ∠XOY = ∅ and so,

\(l=16\pi\) and \(r=32\)

\(16\pi =32\theta\\\frac{16\pi}{32}=\theta\\ \frac{\pi}{2}=\theta\)

∴∠XOY = \(\frac{\pi}{2}\\\) radians

(Unless otherwise stated, return your answer in the same unit of measurement as the measurements in the question)

To construct a confidence interval for the ratio of the variances of the two populations sampled, we can use the F-distribution. The formula for the F-statistic is: F = (s1^2 / s2^2) / (n1 - 1) / (n2 - 1) Where s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.

Using the given data, we have:

s1 = 19.4
s2 = 18.8
n1 = 61
n2 = 41

The F-statistic is then:

F = (19.4^2 / 18.8^2) / (61 - 1) / (41 - 1) = 1.399

To find the confidence interval, we need to look up the critical values of the F-distribution with degrees of freedom (df) of (n1 - 1) and (n2 - 1) at the 1% level of significance.

Using a table or calculator, we find that the critical values are 0.414 and 2.518.

Thus, the confidence interval for the ratio of the variances is:

1 / (2.518 / sqrt(F)) < σ1^2 / σ2^2 < 1 / (0.414 / sqrt(F))

1 / (2.518 / sqrt(1.399)) < σ1^2 / σ2^2 < 1 / (0.414 / sqrt(1.399))

0.266 < σ1^2 / σ2^2 < 2.083

Therefore, we can be 98% confident that the ratio of the variances of the two populations sampled lies between 0.266 and 2.083.
To construct a 98% confidence interval for the ratio of the variances of the two populations sampled, we will use the F-distribution and the following formula:

CI = (s1^2 / s2^2) * (1 / Fα/2, df1, df2, F1-α/2, df1, df2)

Here, s1 and s2 are the standard deviations of the first and second kinds of equipment, and df1 and df2 are the degrees of freedom for each sample. Fα/2 and F1-α/2 are the F-distribution critical values at the α/2 and 1-α/2 levels, respectively.

Step 1: Calculate the variances (s1^2 and s2^2).
Variance1 = (19.4)^2 = 376.36
Variance2 = (18.8)^2 = 353.44

Step 2: Calculate the degrees of freedom (df1 and df2).
df1 = n1 - 1 = 61 - 1 = 60
df2 = n2 - 1 = 41 - 1 = 40

Step 3: Find the F-distribution critical values (Fα/2, df1, df2, F1-α/2, df1, df2) for a 98% confidence interval (α = 0.02).
F0.01, 60, 40 = 0.4611
F0.99, 60, 40 = 2.1080

Step 4: Calculate the confidence interval using the formula.
CI = (376.36 / 353.44) * (1 / 0.4611, 2.1080)
Lower limit = (376.36 / 353.44) * 0.4611 = 0.5925
Upper limit = (376.36 / 353.44) * 2.1080 = 2.2444

The 98% confidence interval for the ratio of the variances of the two populations sampled is (0.5925, 2.2444).

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Answer:

139 miles

Step-by-step explanation:

Lori lives 272 miles from her grandparents

411 miles from her aunt

39 miles from her cousins

Therefore the distance in which Lori lives to get grandmother than her aunt can be calculated as follows

= 411 miles - 272 miles.

= 139 miles

The equation that represents the sentence "28 is the quotient of a number and 4" is 28 = n/4.

In the given sentence, "28 is the quotient of a number and 4," we can break down the sentence into mathematical terms. The term "quotient" refers to the result of division, and "a number" can be represented by the variable "n." The divisor is 4.

1) Define the variable.

Let's assign the variable "n" to represent "a number."

2) Write the equation.

Since the sentence states that "28 is the quotient of a number and 4," we can write this as an equation: 28 = n/4.

The equation 28 = n/4 represents the fact that the number 28 is the result of dividing "a number" (n) by 4. The left side of the equation represents 28, and the right side represents "a number" divided by 4.

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The probability that a random sample of 300 students who took the 2016 AP Statistics exam would indicate that 15% or higher scored a 5 is approximately 0.0934 or 9.34%.

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range, while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center

Given information:

Number of students who took the AP Statistics exam in 2016 = 200,000

Percentage of students who earned the highest score of 5 = 14%

We need to find the probability that a random sample of 300 students who took the exam would indicate that 15% or higher scored a 5.

To solve this problem, we can use the normal approximation to the binomial distribution, since we have a large sample size (n = 300) and the probability of success (p = 0.14) is not too close to 0 or 1.

Let X be the number of students in the sample of 300 who scored a 5. Then X follows a binomial distribution with parameters:

n = 300 and p = 0.14.

We want to find P(X ≥ 45), where 45 is 15% of 300.

This is equivalent to finding the probability that the sample proportion of students who scored a 5 (P = X/n) is 0.15 or higher:

P(P ≥ 0.15) = P((P - p)/√(p(1-p)/n)

≥ (0.15 - 0.14)/√(0.14*0.86/300))

= P(Z ≥ 1.32)

where Z is the standard normal variable. Using a standard normal table or calculator,

we find that P(Z ≥ 1.32) = 0.0934

Therefore, the probability that a random sample of 300 students who took the 2016 AP Statistics exam would indicate that 15% or higher scored a 5 is approximately 0.0934 or 9.34%.

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Step-by-step explanation:

3/6 is the answer to your question

Answer:

D.

Step-by-step explanation:

12x + 7x = 19x

-7 + +9 = 2

Answer:

d

Step-by-step explanation: