The diameter of a wheel is 3 feet witch of the following is closest to the area of the whee

Rational zero for the \(2x^{n}-4x^{5}+3x^{2} -7x-41\) is O 2/41, 4/41, 3/41, 7/41, -2/41, -4/41, -3/41, -7/41.

According to the Rational Zero Test, which of the following might be a rational zero for the polynomial \(2x^{n}-4x^{5}+3x^{2} -7x-41\) Here n is an unknown positive integer greater than 5.

The Rational Zero Test is a theorem that determines the possible rational roots of a polynomial with integer coefficients.

In this case, we are given a polynomial with integer coefficients and are asked to identify its possible rational zeros. The possible rational zeros of the polynomial \(2x^{n}-4x^{5}+3x^{2} -7x-41\) are given by the following formula:

Possible Rational Zeros = ± (factors of the constant term) / (factors of the leading coefficient0.)In this case, the leading coefficient is 2, and the constant term is -41.

Thus, the possible rational zeros are given by:± (1, 41) / (1, 2).

Therefore, the possible rational zeros are: ± 1/2, ± 1, ± 41/2, ± 41.                                                                                                                     Now, the value of n is an unknown positive integer greater than 5. Hence, we can't determine the exact possible rational zeros. However, we can say that the possible rational zeros are  ± 1/2, ± 1, ± 41/2, ± 41.

Therefore, the correct option is O 2/41, 4/41, 3/41, 7/41, -2/41, -4/41, -3/41, -7/41.

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Answer:

y = 8

Step-by-step explanation:

Step 1: Write equation

3 - 5y = -37

Step 2: Subtract 3 on both sides

-5y = -40

Step 3: Divide both sides by -5

y = 8

y=cos x functions of x is guaranteed by the extreme value theorem to have an absolute maximum on the interval [0, 3].

For given function, absolute maxima at x = 5 and absolute minima at

Absolute maximum value is 133 and absolute minimum value is

Given function is,            

To find critical points, Differentiate above function and equate with zero.          

We have critical points are,                  

From above, it is clear that  is absolute maximum value and  is absolute minimum value.

Thus, For given function, absolute maxima at x = 5 and absolute minima at

Absolute maximum value is 133 and absolute minimum value is

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The series (cos(x))^3n converges for all values of x, and the sum of the series for those values of x can be found using the formula S = ((cos(x))^3) / (1 - (cos(x))^3).

To know the convergence and sum of the series (cos(x))^3n for specific values of x:

Find the values of x for which the series converges, find the sum of the series for those values of x. To find the values of x for which the series converges, we'll use the Ratio Test.

The Ratio Test states that if the limit as n approaches infinity of |a_(n+1)/a_n| is less than 1, the series converges.
Here, a_n = (cos(x))^3n, so a_(n+1) = (cos(x))^(3(n+1)) = (cos(x))^3n * (cos(x))^3.
Now, we'll find the limit as n approaches infinity of |a_(n+1)/a_n|:
|((cos(x))^3n * (cos(x))^3) / (cos(x))^3n| = |(cos(x))^3|
Since -1 <= cos(x) <= 1, the maximum value of |(cos(x))^3| is 1. Therefore, the series converges for all values of x, as the limit is less than or equal to 1.
To find the sum of the series for those values of x, we will use the formula for the sum of an infinite geometric series: S = a_1 / (1 - r), where S is the sum, a_1 is the first term, and r is the common ratio.
In this case, a_1 = (cos(x))^3 and r = (cos(x))^3. So, the sum of the series is:
S = ((cos(x))^3) / (1 - (cos(x))^3)
For all values of x, this formula will give you the sum of the series.

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Answer:

C.

Step-by-step explanation:

when you put it in a graphing calculator it would show the standard graph of an exponential decay function.

Answer:

4.899

Step-by-step explanation:

4.899×4.899=24

I know cause I googled :)

The equation with 15 will be y = 15x.

The equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line. The equation of a line in a general form can be written as below:-

y = mx + c

Where m is the slope and c is the y-intercept. The equation for the constant of proportionality 15 can be written as below:-

y = 15x

Here, y and x are variables and 15 is the constant value and is defined as the slope of the line.

Therefore, the equation with 15 will be y = 15x.

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Answer:

i didnt get u what do u want that i should explain u

Answer:

the answer is 7 :]

Answer:

Between -2F and -1F

Step-by-step explanation:

The slope of the regression line predicting y from x is 0.30.

Given that,

x              y

29          215

62          225

75          173

99         129

108        111

So, the coordinate points are (29, 215) and (62, 225)

The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).

Here, slope = (225-215)/62-29)

= 10/33

= 0.30

Therefore, the slope of the regression line predicting y from x is 0.30.

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Answer:

C

Step-by-step explanation:

Answer:

no sé amigo apenas voy el el kinder

In question 27, the price elasticity of supply for shampoo is given as 20, and the price of shampoo increases by 0.7%. The expected change in the quantity of shampoo supplied can be determined using the concept of price elasticity of supply. However, the specific percentage change in quantity supplied is not provided, so a precise answer cannot be given based on the given information.

In question 20, an inferior good in which the income effect dominates the substitution effect is referred to as a Giffen good. It is not classified as a normal good, luxury good, mass-produced good, or favored good.

In question 30, the cross elasticity of demand measures the responsiveness of the quantity demanded of a particular good to changes in the prices of its substitutes and complements. The correct answer is that the cross elasticity of demand measures the responsiveness to changes in both substitutes and complements.

In question 27, without the specific percentage change in quantity supplied, we cannot determine the exact outcome based on the given information. The price elasticity of supply of 20 suggests that the quantity supplied is highly responsive to changes in price, but the specific percentage change in quantity supplied cannot be calculated without additional data.

In question 28, the relationship between pasta being a Giffen good and other characteristics is not specified. While pasta being a Giffen good indicates that the quantity demanded increases as the price increases, it does not imply whether pasta is a normal good, luxury good, or how price changes affect quantity demanded.

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Answer:

7.7 ft

Step-by-step explanation:

The third longest side is also the second shortest side.

The 14 ft side of quadrilateral ABCD corresponds to the 6 ft side of quadrilateral EFGH.

14/6 = 18/x

7/3 = 18/x

7x = 18 * 3

7x = 54

x = 54/7

x = 7.7

Answer: D. 7.7 feet

Answer:

Step-by-step explanation:

7.7

For the alpha observed significance level (p-value)pair, reject the null hypothesis since the p-value is less than the value of alpha.

This means that there is strong evidence against the null hypothesis and that the results are statistically significant. Alpha is the level of significance chosen for the hypothesis test (in this case, it is 0.025).

The p-value is the probability of obtaining results as extreme or more extreme than the observed results, assuming the null hypothesis is true. If the p-value is less than the alpha level, it means that the observed results are unlikely to have occurred by chance and we reject the null hypothesis.

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Hey there! :)

Answer:

Choice D. V = 2184 in³.

Step-by-step explanation:

Recall that to find the volume of a rectangular prism, the following formula is used:

V = l × w × h

Plug in the given dimensions into the formula to solve for the volume:

V = 14 × 13 × 12

Multiply:

V = 2184 in³. The correct answer is D.

Answer:

2,184 inches^3

Step-by-step explanation:

Well to find the volume of a rectangular prism we have to use the following formula l*w*h.

The l is length which is 14 the w which is width which is 13, and the h which is height which is 12.

So we do 14*12*13 which is 2,184 inches^3.

Answer:

150

Step-by-step explanation:

Answer:

$150

Step-by-step explanation:

3+10+30+100+7= $150

By applying the Kuhn-Tucker theorem, the maximum value of xy is: 18/25

The constraints are:-4x² - 2xy - 4y²x + 2y ≤ 22x - y ≤ -1

Let us solve this problem by applying the Kuhn-Tucker theorem.

Let us first write down the Lagrangian function:

L = xy + λ₁(-4x² - 2xy - 4y²x + 2y - 2) + λ₂(2x - y + 1)

Then, we find the first order conditions for a maximum:

Lx = y - 8λ₁x - 2λ₁y + 2λ₂ = 0

Ly = x - 8λ₁y - 2λ₁x = 0

Lλ₁ = -4x² - 2xy - 4y²x + 2y - 2 = 0

Lλ₂ = 2x - y + 1 = 0

The complementary slackness conditions are:

λ₁(-4x² - 2xy - 4y²x + 2y - 2) = 0

λ₂(2x - y + 1) = 0

Now, we solve for the above equations one by one:

From equation (3), we can write 2x - y + 1 = 0, which implies:y = 2x + 1

Substitute this in equation (1), we get:

8λ₁x + 2λ₁(2x + 1) - 2λ₂ - x = 0

Simplifying, we get:

10λ₁x + 2λ₁ - 2λ₂ = 0 ... (4)

From equation (2), we can write x = 8λ₁y + 2λ₁x

Substitute this in equation (1), we get:

8λ₁(8λ₁y + 2λ₁x)y + 2λ₁y - 2λ₂ - 8λ₁y - 2λ₁x = 0

Simplifying, we get:

-64λ₁²y² + (16λ₁² - 10λ₁)y - 2λ₂ = 0 ... (5)

Solving equations (4) and (5) for λ₁ and λ₂, we get:

λ₁ = 1/20 and λ₂ = 9/100

Then, substituting these values in the first order conditions, we get:

x = 2/5 and y = 9/5

Therefore, the maximum value of xy is:

2/5 x 9/5 = 18/25

Hence, the required answer is 18/25.

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Answer:

3.4051451e+12

Step-by-step explanation:

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Answer:

3.40515e12

Step-by-step explanation:

Step-by-step explanation:

take a pic or something cause I can't see it

Equation of a line is \(x+3y =-3\).

A perpendicular bisector is a line that cuts a line segment connecting two points exactly in half at a 90 degree angle. To find the perpendicular bisector of two points, all you need to do is find their midpoint and negative reciprocal, and plug these answers into the equation for a line in slope-intercept form.

Given that,

Endpoints of the line segment are (\(x_{1},y_{1}\)) = (4, 1) and (\(x_{2},y_{2}\)) = (2, -5).

First find the midpoints of the given line segment.

M = \(\left(\frac{x_{1}+x_{2} }{2},\frac{y_{1}+y_{2} }{2}\Right)\)

    =  \(\left(\frac{4+2 }{2},\frac{1-5 }{2}\Right)\)

M   =  \((3,-2)\)

Now, Find the slope of the line :

It is perpendicular to the line with (4,1) and (2,-5)

Slope between (\(x_{1},y_{1}\)) and (\(x_{2},y_{2}\)) = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

so,

the slope between (4,1) and (2,-5)  =  \(\frac{-5-1 }{2-4 }\)

                                                         = 3

perpendicular lines have slopes the multiply to get -1

3 times m=-1

m= \(\frac{-1}{3}\)

The equation of a line that has a slope of m and passes through the midpoints M(3,-2)  is

\(y-y_{1} =m(x-x_{1} )\)

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

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

if we want slope intercept form

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

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

If we want standard form

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

\(x+3y =-3\)

Hence, Equation of a line is \(x+3y =-3\).

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Answer:

A = s²

A = (7/8)²

A =49/64

A= 0.77inches

Accoding to the calculations , the correct answer is:

A) Depreciation charge 16,000; revaluation surplus £20,000

According to IAS 16 Property, Plant and Equipment, the depreciation charge for an asset should be based on its carrying amount, useful life, and residual value.

In this case, the buildings were purchased for £400,000 (£480,000 - £80,000) and had a useful life of 25 years. Since there is no residual value, the depreciable amount is equal to the initial cost of the buildings (£400,000).

To calculate the annual depreciation charge, we divide the depreciable amount by the useful life:

£400,000 / 25 = £16,000

Therefore, the depreciation charge for the year ended 30 September 2021 is £16,000.

Now, let's calculate the balance on the revaluation surplus as at that date.

The revaluation surplus is the difference between the fair value of the property and its carrying amount. On 1 October 2020, the property was revalued to £500,000, and the carrying amount was £480,000 (£400,000 for buildings + £80,000 for land).

Revaluation surplus = Fair value - Carrying amount

Revaluation surplus = £500,000 - £480,000

Revaluation surplus = £20,000

Therefore, the balance on the revaluation surplus as at 30 September 2021 is £20,000.

Based on the calculations above, the correct answer is:

A) Depreciation charge £16,000; revaluation surplus £20,000

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To construct an open-topped box with a volume of 1,568 in3, the original piece of cardboard must have dimensions of 20 in. by 20 in

The open-topped box can be constructed from a square piece of cardboard by removing a square of size 2 inches from each corner and turning up the edges. To determine the size of the original piece of cardboard, we can use the formula for the volume of a rectangular prism.

The volume of a rectangular prism is equal to the length times the width times the height. Therefore, we can solve for the original piece of cardboard as follows:

1,568 in3 = \((L - 4)(W - 4)h\)

We can rearrange this formula to solve for the length, width, and height:

\(L = (1,568 + 16) / h\)
\(W = (1,568 + 16) / h\)
\(h = 1,568 / (L - 4)(W - 4)\)

For the open-topped box to hold 1,568 in3, the length, width, and height must all equal 16 in. Thus, the original piece of cardboard must have dimensions of 20 in. by 20 in.

To construct the box, we must remove a square of size 2 inches from each corner of the cardboard. This leaves a square with dimensions of 16 in. by 16 in. To turn up the edges, we must add an additional 2 in. in height to each side, creating a rectangular prism with dimensions of 16 in. by 16 in. by 4 in.

In summary, to construct an open-topped box with a volume of 1,568 in3, the original piece of cardboard must have dimensions of 20 in. by 20 in. To construct the box, we must remove a square of size 2 inches from each corner of the cardboard and turn up the edges to create a rectangular prism with dimensions of 16 in. by 16 in. by 4 in.

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Answer:

D

Step-by-step explanation:

The chances that two people would have matching DNA fingerprints for these three locations is 1/1,000,000  

According to statement

In location A the chance that two people have four repeats is  1 in 100.

In location B the chance that two people have eight repeats is  1 in 50.

In location C the chance that two people have three repeats is  1 in 200.

So, to find the probability that two people would have matching DNA fingerprints for these three locations

Multiply the all chances in these locations:

1/100 x 1/50 x 1/200 = 1/1,000,000    

So, The chances that two people would have matching DNA fingerprints for these three locations is 1/1,000,000  

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Answer:

15/16

Step-by-step explanation:

just trust the math. I hope it helped!

\(\tt 5\dfrac{5}{8}\div 6\\\\\dfrac{45}{8}\div 6\\\\\dfrac{45}{8}\times \dfrac{1}{6}\\\\\dfrac{45}{48}=\boxed{\bold{\dfrac{15}{16}}}\)