Let F2(t) denote the field of rational functions in t over F2. (a) Prove that F2(t)/F2(t) is not Galois. (b) Prove that F1(Ft)/F4(t) is Galois. (c) For which values of n is F2n (t)/F2n (t) Galois? Justify your answer.

P = 8 + 10 + 8 + 10

P = 36

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

Answer: x=6 y=3

Step-by-step explanation:

12/2 = 6

1 pizza is 6 dollars

6/2=3

1 soda is 3 dollars

3*4=12

6*3=18

18+12=30

Answer:

166

Step-by-step explanation

If you subtract 106 from 120 you get 14 so then you take that and you subtract 14 from 180 hope this helps

Answer:

166

Step-by-step explanation:

hope this helps

Option (A) Names of TV shows taped in New York are an example of qualitative data. Qualitative data is descriptive in nature and does not involve numerical values or measurements.

It deals with qualities or attributes that cannot be expressed numerically. In this case, the names of TV shows are characteristics that describe the nature of the data. Quantitative data, on the other hand, is numerical data that can be measured and expressed in numbers. A parameter is a measurable factor or variable that can be used to define a system, while statistics is a branch of mathematics that deals with data collection, analysis, and interpretation. In conclusion, since the names of TV shows are descriptive in nature and do not involve numerical values, they are an example of qualitative data.

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Answer:

x=5-y

Step-by-step explanation:

Answer:

5-y=x it has to be or there is no way

The probability that 3 of the next 5 days have two accidents is approximately  0.225. We can use the Poisson distribution to model the number of traffic accidents on each day, with a mean of 2. Let X be the number of accidents on a single day, then X ~ Poisson(2).

(a) To find the probability that 3 of the next 5 days have two accidents, we can use the binomial distribution since we are interested in the number of successes (days with two accidents) in a fixed number of trials (5 days). Let Y be the number of days with two accidents in 5 days, then Y ~ Binomial(5, P), where P is the probability of having two accidents on a single day.

Since X ~ Poisson(2), we know that P(X = 2) = e^(-2) * 2^2 / 2! = 0.2707 (using the Poisson probability formula). Therefore, P = 0.2707 is the probability of having two accidents on a single day.

Using the binomial probability formula, we can find the probability of having exactly 3 days with two accidents in 5 days:

P(Y = 3) = (5 choose 3) * 0.2707^3 * (1 - 0.2707)^2 = 0.225

Therefore, the probability that 3 of the next 5 days have two accidents is approximately 0.225.

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The volume of the solid obtained by rotating the region about the x-axis is π(7ln5 - 7).

To find the volume of the solid, we need to use the method of cylindrical shells.

First, we need to determine the limits of integration. The curves intersect at x = 1 and x = 5, so those will be our limits.

Next, we need to find the height of each cylinder at a given x-value. This is simply y = 7/x.

The radius of each cylinder will be the distance from the x-axis to the curve, which is x.

Therefore, the volume of each cylinder will be 2πxydx = 14π/xdx.

Integrating from x = 1 to x = 5, we get:

V = ∫ 14π/x dx (from x=1 to x=5)

= 14π ln|x| (from x=1 to x=5)

= π(7ln5 - 7)

So the volume of the solid obtained by rotating the region about the x-axis is π(7ln5 - 7).

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Answer:

no

Step-by-step explanation:

side needs to be a bit bigger than that

\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)

Answer:

5026.55in²

Step-by-step explanation:

Area = πr^2

radius (r) is half of the diameter, hence the radius is 40 inches

So after plugging that in, the equation should look like

Area = π(40)^2

A = 1600π ≈ 5026.55

The units for this is in² so just add that in the end

The investment will be worth approximately $1,546.45 at the end of 7 years. To calculate the value of the investment after 7 years, we can use the formula for compound interest:

Value = Principal * (1 + interest rate)^time

Given Data:

Principal (P) = $900

Annual Interest Rate (r) = 8% or 0.08

Number of years (t) = 7

Substituting the values into the formula, we have:

Value = $900 * (1 + 0.08)^7

Calculating the exponent:

(1 + 0.08)^7 = 1.08^7 ≈ 1.718279

Now we can calculate the value of the investment:

Value = $900 * 1.718279 ≈ $1,546.45

Therefore, the investment will be worth approximately $1,546.45 at the end of 7 years.

In this calculation, we used the compound interest formula, which takes into account the initial principal, the annual interest rate, and the number of compounding periods (in this case, 7 years). The interest is compounded annually, meaning that at the end of each year, the interest earned is added to the principal for the next year's calculation.

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well, the hexagonal pyramid is really just six triangles with a base of 24 and a height of 24 as well, and a hexagonal base with an apothem of 12√3 and sides of 24.

\(\textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap ~~ \begin{cases} a=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ a=12\sqrt{3}\\ p=\stackrel{(24)(6)}{144} \end{cases}\implies A=\cfrac{1}{2}(12\sqrt{3})(144) \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE Areas} }{\stackrel{\textit{six triangles}}{6\left[ \cfrac{1}{2}(\underset{b}{24})(\underset{h}{24}) \right]}~~ + ~~\stackrel{\textit{hexagonal base}}{\cfrac{1}{2}(12\sqrt{3})(144)}}\implies 1728+864\sqrt{3} ~~ \approx ~~ \text{\LARGE 3224}~m^2\)

Based on the given information, the regression that represents the estimated production function model for firm output in the industry is:

c. log(Q1) = 10.74 + 0.032 Li

The regression equation in option c represents a logarithmic relationship between the output (Q1) and the number of workers employed (Li). Taking the logarithm of the output variable allows for a more flexible functional form and captures potential diminishing returns to labor.

In the regression equation, the constant term (10.74) represents the intercept or the level of output when the number of workers is zero. The coefficient of 0.032 (0.032 Li) indicates the relationship between the logarithm of output and the number of workers employed.

Since the question states that employing another worker leads to a 32 percent increase in output, this aligns with the coefficient of 0.032 in the regression equation. It suggests that a 1 percent increase in the number of workers (Li) leads to a 0.032 percent increase in output, which is equivalent to a 32 percent increase.

Therefore, the regression equation in option c best represents the estimated production function model in this scenario.

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Answer:

6.2

Step-by-step explanation:

Do long division

lets remember what it means compound continuously,

the interest never stopped, the balance is earning interest at all time

Joseph is 22 and he wants to know how much money he will have at 55

55-22=33

his balance will gain interest for 33 years, this is our time

there is a 7% rate

the formula is

P(t)= P(0) e ^rt

our t is 33

rate=7%

Joseph will have a balance at age 55, 45,334.99 dollars

Answer:

3.8

Step-by-step explanation:

5% times 20 is 100% and that is the number we are trying to find so of we multiply .19 by 20 we should get 3.8 wich is promotional to the 100%

The intervals of concavity for f(x) = 3 cos x, with 0 < x < 21, are (0, π/2) and (3π/2, 2π).

To find the intervals of concavity for f(x) = 3 cos x, we need to analyze the second derivative of the function.

First, let's find the second derivative of f(x):

f'(x) = -3 sin x (derivative of cos x)

f''(x) = -3 cos x (derivative of -3 sin x)

Now, we can analyze the concavity of f(x) by considering the sign of the second derivative:

When x ∈ (0, π/2): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.

When x ∈ (π/2, 3π/2): In this interval, cos x < 0, so f''(x) > 0. The second derivative is positive, indicating concavity upwards.

When x ∈ (3π/2, 2π): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.

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Answer:

x=3

Step-by-step explanation:

Combine like terms:

-x+9=5x-9

Isolate x:

6x=18

x=3

Answer:

A=61.5cm^2

Step-by-step explanation:

Area= 5*1/2(lh)

A=5*1/2(6*4.1)

A=5*1/2*24.6

A=5*12.3

A=61.5cm^2

Answer:

In 50 years the amount will be $ 2000.

Step-by-step explanation:

Tiana deposited $500 into a account at 6 % simple interest per Year .

a.

the value of s that yields the coordinate (2, 0) is 2.

b.

the value of s that yields the coordinate (9, 1) is estimated 9.055.

we  use the distance formula between the origin and point P on the path:

d(P) = √ (x^2 + y^2) = s

For the coordinate (2, 0), we have x = 2 and y = 0. So, we can plug these values into the distance formula and solve for s:

d(P) = √(x^2 + y^2)

= √t(2^2 + 0^2) = 2

For the coordinate (9, 1), we have x = 9 and y = 1. So, we can plug these values into the distance formula and solve for s:

d(P) = √t(x^2 + y^2)

= √t(9^2 + 1^2)

= √(82)

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Answer:

it's answer is B. 9/100

A grocer makes a display of cans in which there are 10 rows.

The top row has one can and each lower row has two more cans than the row above it.

We can write it as sequence:

1, 3, 5, 7, . . .

We can observe that it's an arithmetic sequence: 1, 3, 5, 7, . . . , 2n-1

We know that the formula for the sum of n-terms of arithmetic sequence:

S(n) = (n/2)(1 + 2n-1)

Here, Sn = 100

So, (n/2)[1 + 2n-1] = 100

n(1 + 2n + 1)

n(2n) = 200

2n^2 = 200

n^2 = 100

n = 10

Hence, the number of rows = 10

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The difference quotient of \(f(x) = x^2 - 6x + 5\) is is 2x - 6 + h.

To find the difference quotient for the function \(f(x) = x^2 - 6x + 5\), we need to evaluate

(f(x + h) - f(x)) / h, where h is not equal to 0.

First, let's find f(x + h):

\(f(x + h) = (x + h)^2 - 6(x + h) + 5\)

\(= x^2 + 2hx + h^2 - 6x - 6h + 5\)

\(= x^2 - 6x + 5 + 2hx - 6h + h^2\)

Now, we can substitute the values of f(x + h) and f(x) into the difference quotient:

\((f(x + h) - f(x)) / h = ((x^2 - 6x + 5 + 2hx - 6h + h^2) - (x^2 - 6x + 5)) / h\)

= (2hx - 6h + h^2) / h

= 2x - 6 + h

Therefore, the difference quotient of \(f(x) = x^2 - 6x + 5\) is 2x - 6 + h.

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Answer:

D

Step-by-step explanation:

The equivalent multiplier of 2.08% increase is 1.0208

To convert a given percentage into multiplier, first either add or subtract the percentage from 100 and, then convert it to a decimal.

Here given that the,

Percentage increase = 2.08%

Thus to find, an increase of 2.08% is equivalent to multiplier is ,

(100 + 2.08) / 100

= 102.08 / 100

= 1.0208

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Answer:

Step-by-step explanation:

I’m not that good at explaining but, you move terms to the left side and distribute the to be looking like this x^2-6x+9=0 then you use the quadratic formula after that you simply the numbers to be getting x=3

Given that a square pyramid has a surface area of 10 cm², and a dilation of the pyramid has a surface area of 90 cm², we are to find the scale factor of the dilation.

Step 1: Recall the formula for the surface area of a square pyramid, which is given by: S.A. = l² + 2 × l × sHere, l is the slant height of the pyramid, and s is the length of the base.

Step 2: Let the scale factor of the dilation be k. Therefore, the new slant height of the pyramid after dilation is kl, and the new length of the base is ks.

Step 3: Recall that the surface area of a pyramid is proportional to the square of the slant height, and also proportional to the product of the slant height and the length of the base.

Therefore, we can say:S.A. ∝ (slant height)² × (base length)S.A. = k²l² + 2k²lsAnd since we know that the initial surface area is 10 cm² and the new surface area is 90 cm², we can form the equation:10 = l² + 2ls90 = k²l² + 2k²ls

Step 4: Solve for k by dividing the second equation by the first:90/10 = k²l² + 2k²ls / (l² + 2ls)9 = k²l² + 2k²ls / (l(l + 2s))9 = k² + 2ks / (l + 2s)9(l + 2s) = k²l + 2ks k² = (9l + 18s) / l² + 2sl²k² = 9(l / l² + 2s / l) + 18(s / l² + 2s / l)k² = 9 / l + 18 / s k = √(9 / l + 18 / s)

Therefore, the scale factor of the dilation is: k = √(9 / l + 18 / s)

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Answer:

160+2x

Step-by-step explanation:

Answer:

Mario has after 5 weeks 170 pizzas.

Step-by-step explanation:

Each time add to the chart 2 Pizzas and move a week.