alexa is older than keshawn. their ages are consecutive even integers. find alexa's age if the sum of the square of alexa's age and 5 times keshawn's age is 140.

Answer:

y=3x-13

Step-by-step explanation:

because it is perpendicular to y=-1/3x+5 the gradient is 3.

so, so far for the line you are working out you have y=3x+c

now substitute the points(1,-10) into this equation

so... -10=3 times 1 +c

which gives

-10=3+c

now solve to get c

so...-10-3=c

       -13=c

so the equation of the line is ...y=3x-13

To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

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Answer:

Step-by-step explanation:

6x15=90

90miles

Answer:

1/16

Step-by-step explanation:

Rational Exponents can be rewritten as Radicals:

\((\frac{1}{8})^{\frac{4}{3}}=\sqrt[3]{\frac{1}{8}}^{4}\)

Take the cube root of 1/8 = 1/2.

Raise (1/2) to the 4th power

Step-by-step explanation:

the numerator (top part) of a fractional exponent means "to the power of ...".

the denominator (bottom part) of a fractional exponent means "the ...th root".

so,

(1/8)^(4/3) means the cubic root of 1/8 to the power of 4.

these 2 operations can be done in any sequence.

it is the same if we first put 1/8 to the power of 4 and then get the cubic root, or if we first get the cubic root of 1/8 and then put that result to the power of 4.

to keep the numbers small, I prefer here to start with the cubic root :

cubic root (8) = 2, because 2³ = 8.

and so, cubic root (1/8) = 1/2

(1/2)⁴ = 1/16

that's it.

(1/8)^(4/3) = 1/16

The greatest possible number of intersection points for four circles of different sizes is 12.

The greatest possible number of intersection points of four circles of different sizes can be calculated by considering the maximum number of intersection points each pair of circles can have and then summing them up.

When two circles intersect, they can have a maximum of two intersection points. So, if we have four circles, we can find the maximum number of intersection points by considering each pair of circles separately.

For the first circle, it can intersect with the other three circles at most two times each, giving us a total of 2 * 3 = 6 intersection points.

For the second circle, it can intersect with the remaining two circles at most two times each, giving us a total of 2 * 2 = 4 intersection points.

The third circle can intersect with the last remaining circle at most two times, giving us a total of 2 * 1 = 2 intersection points.

Finally, the fourth circle doesn't have any other circle left to intersect with, so it doesn't contribute any additional intersection points.

Now, we can sum up the intersection points from each pair of circles: 6 + 4 + 2 + 0 = 12.

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Answer:

10, 8, -9, 5, 11, 3, -5, 9, 7 and finally -7

Answer:

8 packs

Step-by-step explanation:

112/14=8

The media challenge faced in the scenario is increasing audience fragmentation.

The cost price is abbreviated as C.P.  The price at which an article is sold is known as its selling price. The selling price is abbreviated as S.P.It is a price above the cost price and includes a percentage of profit also.

The media challenge described in the scenario is increasing audience fragmentation. Audience fragmentation occurs when there are numerous media options available, and consumers have different preferences and behaviors regarding media consumption. This makes it challenging for media planners and buyers to identify the most effective media outlets to reach their target audience. In the case of Ford, their media planners and buyers had put a lot of effort into selecting the best media outlets, but still had to pull their campaign due to the challenges posed by audience fragmentation. Therefore, the media challenge faced in the scenario is increasing audience fragmentation.

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Answer: (MAKE ME BRAINLIST PLEASE)

Answer: For Abigail W = $5t

For her younger sibling W= $3t

Bit by bit clarification:

How about we address the compensation with W

t as the time spent on work in hours

Abigail will be paid $5 every hour, her all out compensation will be

W(abg) = $5t

Her younger sibling will be paid $3 every hour, her complete compensation will be

W(lts) = $3t

Answer:

I got B

75+20+85=180

the fraction with the lowest value is 1/12.

Company revenue quadratic function.

Angel

The revenue, in billions of dollars, for a company in the year 2002 was $2.7 billion. One year later, in 2003, the revenue had risen to $3.4 billion. In 2005, the revenue climbed to $3.9 billion, before falling to $2.7 billion in 2008. The revenue, r, in billions of dollars, for the company, is a quadratic function of the number of years since 2002, x. what is the vertex of the function?

To find the quadratic function that represents the revenue of the company as a function of the number of years since 2002, we can use the vertex form of a quadratic function:

r(x) = a(x - h)^2 + k

where a is the coefficient of the quadratic term, h is the x-coordinate of the vertex, and k is the y-coordinate of the vertex.

We can use the given revenue values to set up a system of three equations:

2.7 = a(0 - h)^2 + k

3.4 = a(1 - h)^2 + k

2.7 = a(6 - h)^2 + k

Subtracting the first equation from the second, and the first equation from the third, we get:

0.7 = a(1 - h)^2

0 = a(6 - h)^2

Since a cannot be zero (otherwise we wouldn't have a quadratic function), we can divide the second equation by the first to get:

6 - h = 10

which gives us h = -4.

Substituting h = -4 into the first equation, we get:

2.7 = a(0 - (-4))^2 + k

2.7 = 16a + k

Substituting the revenue value for 2005, we get:

3.9 = a(3 - (-4))^2 + k

3.9 = 49a + k

Solving for a and k, we get:

a = -0.1

k = 4.3

Therefore, the quadratic function that represents the revenue of the company as a function of the number of years since 2002 is:

r(x) = -0.1(x + 4)^2 + 4.3

The vertex of this function is at (-4, 4.3).

Angel

What is the sum of the numbers in the sequence 3, −4, 5, −6, . . . , 101?

We can notice that the sequence alternates between adding an odd number and subtracting an even number. The first term is 3, which is odd, so the sequence starts by adding an odd number. The second term is -4, which is even, so the sequence then subtracts an even number. This pattern continues, so the sum of the sequence can be written as:

3 - 4 + 5 - 6 + ... + 101

We can group the terms into pairs:

(3 - 4) + (5 - 6) + ... + (99 - 100) + 101

Each pair of terms adds up to -1, so we can simplify the expression to:

-1 -1 -1 ... -1 + 101

where there are 50 pairs of -1's. The sum of 50 -1's is -50, so the sum of the sequence is:

-50 + 101 = 51

Therefore, the sum of the numbers in the sequence 3, −4, 5, −6, . . . , 101 is 51.

Angel

What is 12 7/8 - 56/17?

To subtract mixed numbers like 12 7/8, we first need to convert it to an improper fraction. We can do this by multiplying the whole number by the denominator of the fraction, and adding the result to the numerator. This gives us:

12 7/8 = (12 × 8 + 7)/8 = 103/8

Now we can subtract 56/17 from 103/8. To do this, we need to find a common denominator for the two fractions. The least common multiple of 8 and 17 is 136, so we can rewrite the fractions with this denominator:

103/8 = (103/8) × (17/17) = 1751/136

56/17 = (56/17) × (8/8) = 448/136

Now we can subtract the two fractions:

1751/136 - 448/136 = (1751 - 448)/136 = 1303/136

We can simplify this fraction by finding a common factor to divide both the numerator and denominator. Since both 1303 and 136 are relatively prime, we cannot simplify it any further. Therefore, the final answer is:

12 7/8 - 56/17 = 1303/136

Angel

A circle in the xy-plane has a diameter with endpoints (2,4) and (2,14). An equation of this circle is (x-2)^2+(y-9)^2=r^2 ,where r is a positive constant. What is the value of r?

The center of the circle is the midpoint of the diameter, which is at (2, (4+14)/2) = (2, 9). We can substitute this center point into the equation of the circle to get:

(x - 2)^2 + (y - 9)^2 = r^2

(2 - 2)^2 + (9 - 9)^2 = r^2

0 + 0 = r^2

So we see that r = 0. Therefore, the equation of the circle is just:

(x - 2)^2 + (y - 9)^2 = 0

This describes a single point in the xy-plane, which is the center of the circle. Note that this point is already on the given diameter, so it makes sense that the radius is zero.

Angel

which number has which number has the lowest value? 1/6 1/3 - 1/9 1/3 - 1/6 1/4 - 1/6the lowest value?

To compare these fractions, we can first find a common denominator for all of them. The least common multiple of 2, 3, and 4 is 12, so we can rewrite the fractions with this denominator:

1/6 = 2/12

1/3 - 1/9 = (3/12) - (1/12) = 2/12

1/3 - 1/6 = (2/6) - (1/6) = 1/6

1/4 - 1/6 = (3/12) - (2/12) = 1/12

So the fractions can be ordered as follows, from least to greatest:

1/12 < 1/6 < 2/12 = 1/3 - 1/9 < 1/3 - 1/6

Therefore, the fraction with the lowest value is 1/12.

Point 1: (-3 , -1)       x1=-3       y1= -1

Point 2: ( 4, 5)       x2= 4       y2= 5

To find the slope of the line use the formula \(\frac{y2-y1}{x2-x1}\)

\(\frac{y2-y1}{x2-x1}\)        Insert Values

\(\frac{5-(-1)}{4-(-3)}\)       Remove Brackets

\(\frac{5+1}{4+3}\)           Simplify

\(\frac{6}{7}\)

The slope is \(\frac{6}{7}\)

In the first trial of the simulation, the question asks whether all the clients were alive at the end of their policies. The answer to this question can be found in the "All" column of the worksheet labeled "Task 2b."

To determine whether all the clients were alive at the end of their policies in the first trial, we need to refer to the "All" column in the "Task 2b" worksheet. This column indicates whether all the clients were alive or not at the end of their policies for each trial. If the "All" column says "Yes," it means all the clients were alive at the end of their policies in that trial. If it says "No," it means at least one client was not alive at the end of their policy in that trial.

To answer the specific question about the first trial, we need to refer to the corresponding row in the "All" column. If the first trial's row in the "All" column says "Yes," it means all the clients were alive at the end of their policies in the first trial. If it says "No," it means at least one client was not alive at the end of their policy in the first trial.

Without access to the specific spreadsheet and data, I am unable to provide a definitive answer about the clients' status in the first trial.

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Answer:

u = \(\frac{r}{w+q}\)

Step-by-step explanation:

Given

uw + uq = r ← factor out u from each term on the left side

u(w + q) = r ← divide both sides by (w + q)

u = \(\frac{r}{w+q}\)

The equation uw + uq = r is solved for u will be written as u = r / (w + q).

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The equation is given below.

uw + uq = r

Simplify the equation for u, then the equation will be written as,

uw + uq = r

u(w + q) = r

u = r / (w + q)

The equation uw + uq = r is solved for u will be written as u = r / (w + q).

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The angle of rotation at the point \(\(z_0 = 2i + 1\)\) when \(\(w = z^2\)\) is \(\(2\arctan(2)\),\) which is approximately 1.107 radians or 63.43 degrees.

To determine the angle of rotation at the point \(\(z_0 = 2i + 1\)\) when \(\(w = z^2\),\) we can follow these steps:

1. Express \(\(z_0\)\) in polar form: To find the polar form of \(\(z_0\)\), we need to calculate its magnitude \((\(r_0\))\) and argument \((\(\theta_0\))\). The magnitude can be obtained using the formula \(\(r_0 = |z_0| = \sqrt{\text{Re}(z_0)^2 + \text{Im}(z_0)^2}\)\):

\(\[r_0 = |2i + 1| = \sqrt{0^2 + 2^2 + 1^2} = \sqrt{5}\]\)

  The argument \(\(\theta_0\)\) can be found using the formula \(\(\theta_0 = \text{arg}(z_0) = \arctan\left(\frac{\text{Im}(z_0)}{\text{Re}(z_0)}\right)\)\):

\(\[\theta_0 = \text{arg}(2i + 1) = \arctan\left(\frac{2}{1}\right) = \arctan(2)\]\)

2. Find the polar form of \(\(w\)\): The polar form of \(w\) can be expressed as \(\(w = |w|e^{i\theta}\)\), where \(\(|w|\)\) is the magnitude of \(\(|w|\)\) and \(\(\theta\)\) is its argument. Since \((w = z^2\)\), we can substitute z with \(\(z_0\)\) and calculate the polar form of \(\(w_0\)\)using the values we obtained earlier for \(\(z_0\)\):

 \(\[w_0 = |z_0|^2e^{2i\theta_0} = \sqrt{5}^2e^{2i\arctan(2)} = 5e^{2i\arctan(2)}\]\)

3. Determine the argument of \(\(w_0\):\) To find the argument \(\(\theta_w\)\) of \(\(w_0\)\), we can simply multiply the exponent of \(e\) by 2:

  \(\[\theta_w = 2\theta_0 = 2\arctan(2)\]\)= 1.107 radians

Therefore, the angle of rotation at the point \(\(z_0 = 2i + 1\)\) when \(\(w = z^2\)\) is \(\(2\arctan(2)\).\)

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The complete question is:

"Determine the angle of rotation, in radians and degrees, at the point z0 = 2i + 1 when w = z^2."

Answer:

a= 17√3/ 2 or a≈14.72

Step-by-step explanation:

c = 17 and is the side opposite to the angle C

c=AB =17

a= BC because is the side opposite to angle A

sin 60° = opp./hyp = BC / AB = BC/17

sin 60° = BC /17  multiply both sides by 17

BC = 17* sin 60 = 17√3/2 ≈14.72

Answer:

a=bcd

Step-by-step explanation:

Answer:

a=bcd

Step-by-step explanation:

Let's solve for a.

a

dc

=b

Step 1: Multiply both sides by cd.

a=bcd

Answer:

a=bcd

Median = 5

Mean = 5.4444444444444

Mode: 3

Range = 9

Minimum =   1

Maximum =  10

How to find Median:

Arrange your numbers in numerical order.  Then the second step is to have an odd number, divide by 2 and round up to get the position of the median number.  The last step is to find the even number and if you have it, divide it by 2.

Answer: 5

Hope this helps.

Answer:

x = 16

Step-by-step explanation:

m<B+m<C+m<D = 180°

5x + 14 + x + 19 + 2x + 19 = 180

8x + 52 = 180

8x = 180 - 52

x = 128/8

x = 16

Answer:

Step-by-step explanation:

The area of a rectangle is given by the product of its length and width. Therefore, the area of the rectangle is:

A(x) = L(x) ⋅ W(x) = 2x(8x^2 - 4x + 1)

Simplifying the expression, we get:

A(x) = 16x^3 - 8x^2 + 2x

Therefore, the answer is (D) (L ⋅ W)(x) = 16x3 − 8x2 + 2x.

The required solution is 2.

It is required to find the value of h (-6).

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Solution:

The given equation is

h(x)= -x-4

We have to find  h (-6)

By put the value of x=-6 in given equation we get,

h(-6) = -(-6)-4

h(-6) = 6-4

h(-6) = 2

Hence. the required solution is 2.

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If we let a = 0, b = 1, and c = 1, then the polynomial

\(x(x-1)(x^2 +\)

Since the polynomial has integer coefficients, if one of the roots is a complex number, then its conjugate must also be a root. Therefore, options A and E cannot be roots of the polynomial, since they have non-real conjugates.

We know that the polynomial has degree 4, so it has four roots in total (counting multiplicities). We also know that two of the roots are integers, so let's call them a and b. Then the polynomial can be written as:

\((x - a)(x - b)(cx^2 + dx + e)\)

where c, d, and e are integers (because they are the coefficients of the quadratic factor). We know that the leading coefficient is 1, so c must be nonzero.

Since the polynomial has two real roots, its discriminant must be nonnegative:

\(d^2 - 4ce > = 0\)

We can use this inequality to rule out some of the answer choices. For example, option C cannot be a root, because if we substitute x = 1/2 + i into the polynomial, we get:

(\((1/2 + i) - a)((1/2 + i) - b)(c((1/2 + i)^2) + d(1/2 + i) + e)\)

The real part of this expression is:

(1/4 - a + 1/4 - b)(c(1/4 - 1) + d/2 + e) = -(a + b - 1/2)(3c/4 + d/2 + e)

If we assume that a and b are integers, then this expression is an integer multiple of 3c/4 + d/2 + e. However, we can choose values of c, d, and e such that 3c/4 + d/2 + e is not an integer (for example, if c = 4, d = 1, and e = 0, then 3c/4 + d/2 + e = 4.5). Therefore, the real part of the expression cannot be zero, and option C cannot be a root.

We can also rule out option D using the same argument. If we substitute x = 1 + i/2, then the real part of the expression is:

((1 + i/2) - a)((1 + i/2) - b)(c((1 + i/2)^2) + d(1 + i/2) + e)

(1 - a + i/2)(1 - b + i/2)(c(5/4 + i) + d(3/2 + i/2) + e)

The real part of this expression is an integer multiple of c(5/4) + d(3/2) + e, which can be non-integer for some choices of c, d, and e.

Therefore, the only possible answer choices are A and B. To determine whether they are roots of the polynomial, we can use the fact that the sum and product of the roots are given by:

a + b + (complex roots) = -d/c

ab(complex roots) = e/c

We know that a and b are integers, so if we can find a polynomial with integer coefficients that has roots a, b, and either A or B, then that root is also a root of the original polynomial.

For option A, we have:

1 + i√11/2 = 2(cos(75°) + i sin(75°))

Therefore, if we let a = 0, b = 1, and c = 1, then the polynomial

\(x(x-1)(x^2 +\)

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Answer:

Given,

Distance traveled = 20 km

Speed = 60 km/h

So, timetaken=DistanceSpeed=2060=13h

For the next journey

Distance traveled = 20 km

Speed = 80 km/h

So, timetaken=DistanceSpeed=2080=14h

Now,

Total distance traveled = 20 + 20 = 40 km

Total time taken = 13+14=712

We know,

Averagespeed=TotaldistancetraveledTotaltimetaken=40712=68.5 km/h

Hence the average speed of the train is 68.5 km/h

Answer:

The correct options are;

Heather likely did not make an error writing the equation of the line in her notebook because 0.77 and 1.34 are the slope y-intercept of the equation she recorded

Step-by-step explanation:

Based on the coordinates on the plot, Heather did not make a mistake in writing the line of best fit as the graph plotted with the points in the question  figure as follows;

x,            y

10.6,       9.4

8.2,         8.2

6.4,         7.3

6.6,         5.8

4.4,         5.4

4,            3.4

2.5,         4.4

2.2,         3

0.85,       1.5

Has an equation of he form, y = 0.7885·x + 1.3694.

\(x=8\) and \(y=8\) are the two positive integers whose sum is \(16\) and sum of their squares is minimum.

What is optimum value ?

The optimum value is a minimum or maximum value of the objective function over the feasible region of an optimization problem.

If a function is strictly increasing in a definite interval and increases up to a fixed value and after this, it starts decreasing, then that point is called maximum point of the function and value of function at that point is called maximum value.

If a function is strictly decreasing in a definite interval and decreases up to a fixed value and after this, it starts increasing, then that points is called minimum point of the function and the value of function at that point is called minimum value.

Conditions for finding maxima and minima

The conditions for maxima and minima for a function \(y=f(x)\) at a point \(x=a\)  are as follow:

1. Necessary condition

for maxima and minima, the necessary condition is

\(f'(x)=\frac{dy}{dx}\)

2.Suffiecient condition

for maxima and minima, the  necessary condition are

for maximum value

at \(x=a,\frac{d^2y}{dx^2}\) should be negative.

for minimum value

at \(x=a, \frac{d^2y}{dx^2}\) should be positive.

The sum of two positive number is \(16\).

We have to find the maximum and minimum value for the sum of their squares.

The sum of two positive number is 16.

let the number be \(x\) and \(y\), such that \(x > 0\) and \(y > 0\)

sum of the number is \(x+y=16\)

sum of squares of the number \(S=x^2+y^2\)

\(x+y=16\\y=16-x ----------1\\S=x^2+y^2\\S=x^2+(16-x)^2-----------2\)after substituting the value of y from equation 1

for finding the maximum and minimum of given function we can find it by differentiating the function with \(x\) equal it to \(0\)

Differentiate the equation 2

\(\frac{dS}{dx} =\frac{d}{dx}[x^2+(16-x)^2]\\\frac{dS}{dx}=\frac{d}{dx}(x^2)+\frac{d}{dx}(16-x^2)\\ \frac{dS}{dx}=2x+2(16-x)(-1)---------3\)

Now equating the first derivative equal to zero

so, \(\frac{dS}{dx}=0\)

\(2x+2(16-x)(-1)=0\\2x-2(16-x)=0\\2x-32+2x=0\\4x-32=0\\4x=32\\x=\frac{32}{4}=8\)

As \(x > 0, x=8\)

Now, for checking if the value of \(S\) is minimum or maximum at \(x=8\), we will perform the second derivative of \(S\) with respect to \(x\)

\(\frac{d^2S}{dx^2}=\frac{d}{dx}[2x+2(16-x)(-1)]\\\frac{d^2S}{dx^2}=\frac{d}{dx}[2x-2(16-x)]\\\frac{d^2S}{dx^2}=\frac{d}{dx}(2x)-2\frac{d}{dx}(16-x)\\\frac{d^2S}{dx^2}=2-2(0-1)\\\frac{d^2S}{dx^2}=2-0+2=4\\\frac{d^2S}{dx^2}=4\)

According to the sufficient condition if the second derivative is positive then the value is minimum

hence for \(x=8\) will be the minimum point of the function \(S\).

Therefore the function \(S\) sum of squares of the two number is minimum at \(x=8\)

from equation \(1\)

\(y=16-x\\y=16-8\\y=8\)

Therefore , \(x=8\) and \(y=8\) are the two positive numbers whose sum is \(16\) and the sum of their squares is minimum.

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Answer:

O.3 pound

Step-by-step explanation:

1.20/4=0.3 pound

Answer:

1.20 divided 4 = 0.3

One pencil costs £0.3

Step-by-step explanation:

For an investment with completely certain returns, the return distribution would be a very tight, vertical line at the predetermined return. This is because the risk associated with the investment is zero, meaning the return will not vary regardless of market conditions.

For an investment with completely uncertain returns, the return distribution would be a flat line with no particular shape. This is because the risk associated with the investment is very high, meaning the return could be anything, as it is impossible to predict the returns with any degree of accuracy.

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The number of teeth that cross the cutting surface each second is 12560 teeth.

A radial saw has a circular cutting blade with a diameter of 10 inches and it spins at 2000rpm if there are 12 cutting teeth per inch on the cutting blade, the number of teeth that cross the cutting surface each second can be calculated as follows:First, let us find the circumference of the circular cutting blade: $C = πd$ where d is the diameter of the blade.Circumference of blade $C = πd=π×10=31.4 inches$.To find the number of teeth crossing the cutting surface each second, we need to find the linear speed of the cutting edge of the blade. Linear speed is the distance traveled per unit time.Linear speed = Circumference of blade × RPM = 31.4 × 2000 = 62,800 inches per minute.To find the speed in seconds, we divide by 60. Speed in seconds = 62,800 / 60 = 1046.67 inches/second.There are 12 teeth per inch on the cutting blade. Therefore, the number of teeth that cross the cutting surface each second is:1046.67 inches/second × 12 teeth per inch = 12560 teeth per second. Thus, the number of teeth that cross the cutting surface each second is 12560 teeth.

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The roots of the quadratic equation \(3x^{2} -4x+2 = 0\) as shown is imaginary.

In mathematics, we use the term discriminant to explain the formula that can be used to show the nature of the roots of  quadratic equation. In this case, we want to use the discriminant to test the roots of the equation; 3x^2 - 4x + 2 = 0

Now, the discriminant is;

√b^2 - 4ac

b = (-4)

a = 3

c = 2

Then we try to substitute and obtain;

√ (-4)^2 - 4 * 3 * 2

√16 - 24

√-8

Hence the roots of the equation are imaginary.

Learn more about roots of equation:https://brainly.com/question/12029673

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Answer:

 the answer is repeating

Step-by-step explanation:

I hope this helps you :)

Answer: Repeating decimal

Step-by-step explanation: