Look at this diagram. Trapezoid ABCD is similar to Trapezoid JKLM. What is the measure of K?

The roots (if any) are determined by the values of x that make f(x) = 0. To find them, we solve the quadratic equation associated with the function.

A quadratic equation is an equation of the form:

ax² + bx + c = 0

where a, b, and c are constants. For a quadratic function of the form:

f(x) = ax² + bx + c

the roots are the values of x that satisfy the equation f(x) = 0. To find the roots, we set f(x) equal to zero and solve for x using the quadratic formula:

x = (-b ± √(b² - 4ac))/2a

If the discriminant (b² - 4ac) is negative, then the quadratic equation has no real roots, and the function f(x) does not intersect the x-axis. If the discriminant is zero, then the quadratic equation has one real root, and the function f(x) touches the x-axis at that point. If the discriminant is positive, then the quadratic equation has two real roots, and the function f(x) intersects the x-axis at those points.

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Answer: C 44.04%

Step-by-step explanation:

in a normal distribution,

P(Z>z)= 1-P(Z<z)      (*)

Here , we need to find : P(Z>0.15)

By using  (*) , P(Z>0.15)=1- P(Z<0.15)

= 1- 0.5596    [By p-value table]

= 0.4404

= 44.04%  [multiply 100 to convert into percent]

∴  the probability that a data value will fall above the data value associated with a z-score of 0.15 = 44.0%

hence, correct option : C 44.04%

\(~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ \sqrt[6]{(4\pi )^3}\implies (4\pi )^{\frac{3}{6}}\implies (4\pi )^{\frac{1}{2}}\)

It will take the turkey about 3 hours to roast.

The point (-2,4) lies in second quadrant, (3,-1) lies in fourth quadrant, (-4,0) lies in second quadrant, (-4,0) lies in second quadrant, (2,3) lies in first quadrant, abscissa of origin is -4, the sign of y - coordinate below the x-axis is negative and the coordinate of a point lying on the y axis at -3 is (0,-3).

Given nothing but we are required to answer the given questions.

a)The point (-2,4) lies in second quadrant, (3,-1) lies in fourth quadrant, (-4,0) lies in second quadrant, (-4,0) lies in second quadrant, (2,3) lies in first quadrant.

b) Abscissa of origin is -4.

c) The sign of y - coordinate below the x-axis is negative,

d) The coordinate of a point lying on the y axis at -3 is (0,-3).

Hence the point (-2,4) lies in second quadrant, (3,-1) lies in fourth quadrant, (-4,0) lies in second quadrant, (-4,0) lies in second quadrant, (2,3) lies in first quadrant, abscissa of origin is -4, the sign of y - coordinate below the x-axis is negative and the coordinate of a point lying on the y axis at -3 is (0,-3).

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a) The value of z corresponding to an area of 0.1210 can be found using statistical tables or a statistical calculator.

b) Similarly, the value of z corresponding to an area of 0.9898 can be obtained using statistical tables or a statistical calculator.

c) To find the value of z at the 45th percentile, we can use the standard normal distribution table or a statistical calculator.

a) To find the value of z corresponding to an area of 0.1210, you can use a standard normal distribution table or a statistical calculator. By looking up the area of 0.1210 in the table, you can determine the corresponding z-value. For example, if you find that the z-value for an area of 0.1210 is -1.15, then -1.15 is the value of z corresponding to the given area.

b) Similarly, to find the value of z corresponding to an area of 0.9898, you can refer to a standard normal distribution table or use a statistical calculator. Find the z-value that corresponds to the area of 0.9898. For instance, if the z-value for an area of 0.9898 is 2.32, then 2.32 is the value of z corresponding to the given area.

c) To find the value of z at the 45th percentile, you can use a standard normal distribution table or a statistical calculator. The 45th percentile corresponds to an area of 0.4500. By finding the z-value for an area of 0.4500, you can determine the value of z at the 45th percentile. For example, if the z-value for an area of 0.4500 is 0.125, then 0.125 is the value of z at the 45th percentile.

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Answer:

The discount will take the total down to 71.00$

Step-by-step explanation:

i think this is the answer im not for sure but i hope this helps you :)

Answer:

(s+r)(-2) = 2

Step-by-step explanation:

To find the expressions for (s-r)(x) and (s+r)(x), we need to subtract and add the functions s(x) and r(x) respectively.

(s-r)(x) = s(x) - r(x)

Substituting the given functions:

(s-r)(x) = 2x^2 - 3x

(s+r)(x) = s(x) + r(x)

Substituting the given functions:

(s+r)(x) = 2x^2 + 3x

To evaluate (s+r)(-2), we substitute x = -2 into the expression for (s+r)(x):

(s+r)(-2) = 2(-2)^2 + 3(-2)

= 2(4) - 6

= 8 - 6

= 2

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The equation for the polynomial is P(x) = x⁵ + x⁴ - 18x³ + 22x² + 45x - 75

From the question, we have the following parameters that can be used in our computation:

Zeros = 2 - i, -5 and -√3

A polynomial is represented as

P(x) = (x - zero)^multiplicity

Using the above as a guide, we have the following:

P(x) = (x - (2 - i))(x - (2 + i))(x + 5)(x - √3)(x + √3)

So, we have

P(x) = ((x - 2)² + 1)(x + 5)(x² - 3)

Expand

P(x) = (x² - 4x + 5)(x + 5)(x² - 3)

When the expression is simplified, we have

P(x) = x⁵ + x⁴ - 18x³ + 22x² + 45x - 75

Hence, the function is P(x) = x⁵ + x⁴ - 18x³ + 22x² + 45x - 75

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Answer: 15) 97

16) 16

17) 24

Step-by-step explanation:

15) (x-75) + (x-52)+ 293=360

x - 75 + x - 52 + 293 = 360

2x - 127 + 293 = 360

2x + 166 = 360

        2x  = 194           [Subtract 166 from both side]

          x  = 97             [Divide by 2 from both side]

16) (4x+15)+(5+6x)=180         The angle of a straight line is 180.

4x + 15 + 5 + 6x = 180

10x + 20 = 180

        10x = 160            [Subtract 20 from both side]

            x = 16               [Divide by 10 from both side]

17) (x+17)+(2x+1)= 90               These two angle combined equal to 90.

x + 17 + 2x + 1 = 90

3x + 18 = 90          

3x = 72                         [Subtract 18 from both side]

x = 24                           [Divide by 3 from both side]

Answer:

the answer to your question is graph d

Graph (d) represents a direct variation

For the graph of a linear function to represent direct variation, then the following must be true

From the list of options, the graph that have the above highlights is graph (d)

Hence, graph (d) represents direct variation

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Answer:

"certain"

Step-by-step explanation:

by definition, any event with a probably of 1 is defined as certain (i.e certain to happen)

by contract any even with a probably of 0 is defined as impossible (i.e impossible to happen)

Anser: 2,12 and 4, 24. Yes, it is proportional.

Step-by-step explanation:

For every 2x, y will be inceased by 12.

Katie outscored approximately 1.39% of the students in her section.

If Katie received a z-score of 2.2, this means that her score was 2.2 standard deviations above the mean of the exam scores for her section.

We can use a standard normal distribution table or calculator to find the percentage of scores that fall above a z-score of 2.2.

Using a standard normal distribution table, we can find the proportion of scores that fall below a z-score of 2.2, and then subtract this from 1 to find the proportion of scores that fall above a z-score of 2.2.

The table value for a z-score of 2.2 is approximately 0.9861, which means that approximately 98.61% of the scores fall below a z-score of 2.2. Therefore, approximately:

1 - 0.9861 = 0.0139, or 1.39%

of the scores fall above a z-score of 2.2.

This means that Katie outscored approximately 1.39% of the students in her section.

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In the graph of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.

The simple linear regression equation represents a linear relationship between a dependent variable and an independent variable. It can be written as y = ß0 + ß1x, where ß0 is the intercept and ß1 is the slope of the regression line.

The slope (ß1) determines the rate of change in the dependent variable (y) for each unit change in the independent variable (x). It represents the steepness or inclination of the regression line. The sign of ß1 indicates whether the line has a positive or negative slope, indicating the direction of the relationship between the variables.

Thus, in the context of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.

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Answer:

The perimeter of the quadrilateral ABCD is 20 units.

As, There are 4 angles in the quadrilateral.None of the 3 above options are the perimeter.

Answer:

Step-by-step explanation:

Let j represent the number of home runs Jacobs hit. The Cabrera hit j+6, and their total is ...

  j +(j+6) = 46

  2j = 40 . . . . . . subtract 6

  j = 20 . . . . . . . divide by 2

  j+6 = 26

Jacobs hit 20 home runs; Cabrera hit 26.

The solution to the given initial-value problem by using the Laplace transform  is \(y(t) = e^{(-t) }- cos(t) + t sin(t) - t cos(t).\)

To solve the initial-value problem using Laplace transform, we'll first take the Laplace transform of both sides of the differential equation and use the initial condition to find the Laplace transform of the solution.

Taking the Laplace transform of the given differential equation, we have:

\(L{[y']} + L{[y]} = L{[t sin t]}\)

Applying the linearity property of the Laplace transform and using the derivative property \(L{[y']} = sY(s) - y(0)\), where Y(s) represents the Laplace transform of y(t), we get:

\(sY(s) - y(0) + Y(s) = L{[t sin t]}\)

Since y(0) = 0 according to the initial condition, the equation simplifies to:

\(sY(s) + Y(s) = L{[t sin t]}\)

Using the table of Laplace transforms, we find that the Laplace transform of t sin t is:

\(L{(t sin t)} = 2 / (s^2 + 1)^2\)

Substituting this into the equation, we have:

\(sY(s) + Y(s) = 2 / (s^2 + 1)^2\)

Now, we can solve this equation for Y(s):

\(Y(s)(s + 1) = 2 / (s^2 + 1)^2\)

Dividing both sides by (s + 1), we get:

Y(s) = 2 / ((s + 1)(s^2 + 1)^2)

\(Y(s) = 2 / ((s + 1)(s^2 + 1)^2)\)

Now, we need to find the inverse Laplace transform of Y(s) to obtain the solution y(t).

Using partial fraction decomposition, we can express Y(s) as:

\(Y(s) = A / (s + 1) + (Bs + C) / (s^2 + 1) + (Ds + E) / (s^2 + 1)^2\)

Solving for the constants A, B, C, D, and E, we can rewrite Y(s) as:

\(Y(s) = 1 / (s + 1) - (s + 1) / (s^2 + 1) + (2s - 1) / (s^2 + 1)^2\)

Taking the inverse Laplace transform, we find that the solution y(t) is:

\(y(t) = e^{(-t)} - cos(t) + t sin(t) - t cos(t)\)

Therefore, the solution to the given initial-value problem by using the Laplace transform  is \(y(t) = e^{(-t) }- cos(t) + t sin(t) - t cos(t).\)

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The correct order does these stages occur is 4, 3, 2, 1, 3.

A recession is a point at which the economy decreases fundamentally for no less than a half year.

In the correct order does these stages occur.

Hence, the correct order does these stages occur is 4, 3, 2, 1, 3.

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Answer:

Multiplication

Step-by-step explanation:

Can i have branliest?

You would multiply the speed the vehicles are moving and the feet its going

Step-by-step explanation:

Answer:

The answer is 3/4 which isn't among the choices.

Step-by-step explanation:

\(\frac{3*2}{2+4}\)

The Volume generated when the region between the curves is rotated around the y - axis is 1216500335.46

Volume of the curves:

The volume of the solid formed by revolving the region bounded by the curve x = f(y) and the y-axis between y = c and y = d about the y-axis is given by

V = π ∫dc [f(y)]2dy.

The cross-section perpendicular to the axis of revolution has the form of a disk of radius R = f(y).

Given,

y = x³

Here we have to find the volume along to the y axis.

With limit as y = 0 and y = 27.

When we apply the values it can be written as,

=>\(V=\pi \int\limits^0_{27} {(x^3)^2} \, dx\)

\(\implies V=\pi \int\limits^0_{27} {(x^6)} \, dx\)

Apply the limits then we get,

\(\implies V = \pi [0^6 - (27)^6]\)

=> V = π [0 - 387420489]

=> V =   π x 387420489

=> V = 1216500335.46

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Answer:

5x I think I don't know is it right look in calculator

The value of (3x + 2) when (7 + x = 5) is -4.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following equation as -

x + 7 = 5

We can write -

x + 7 = 5

x = 5 - 7

x = - 2

Now, we have to find -

3x + 2

3(-2) + 2

- 6 + 2

- 4

Therefore, the value of (3x + 2) when (7 + x = 5) is -4.

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Notice that the given equations are lines in slope-intercept form.

The slope of both equations is 5, but its y-intercepts are different, therefore the graphs of the given equations are different parallel lines, therefore, they have no common points.

Since the graphs of the equations have no common points the system of equations has no solutions.

Answer: No solution.

Answer:

105 eggs

Step-by-step explanation:

Total eggs they bought = ( 8×12) = 96 eggs

They already had 9 eggs so adding 96 and 9 gives us 105 eggs in total

Answer:

\(54\pi\ cm^2\)

Step-by-step explanation:

1. Approach

In order to solve this problem, one needs to find the height of the cone. This can be done using the Pythagorean theorem. After finding the height of the cone, one can use the formula to find the surface area of a cone, to find the surface area of this particular cone.

2. Find the height of the cone

The Pythagorean theorem is a property that relates the sides of a right triangle. The radius (distance from the center to circumference (outer edge)) of the base, the height of the cone, and the slant of the cone forms a right triangle. Thus, one can use the Pythagorean theorem to solve for the height. The Pythagorean states the following:

\(a^2+b^2=c^2\)

Please note that (a) and (b) represent the sides adjacent (next to) the right angle, (c) represents the hypotenuse (the side opposite the right angle). In this case (a) is the height, and (b) is the radius of the base. (c) is the diagonal of the cone. Substitute the given values in and solve for the height,

\(a^2+b^2=c^2\)

\(a^2+3^3=15^2\)

Simplify,

\(a^2+3^3=15^2\)

\(a^2+9=225\)

Inverse operations,

\(a^2+9=225\)

\(a^2=216\)

\(a=\sqrt{216}\)

3. Find the surface area of the cone

The following formula can be used to find the surface area of a cone,

\(A_s=\pi r(r+\sqrt{h^2+r^2})\)

Where (h) is the height of the cone, (r) is the radius of the base of the cone, and (\(\pi\)) represents the value (3.1415...). Substitute the given values into the formula and solve for the surface area,

\(A_s=\pi r(r+\sqrt{h^2+r^2})\)

\(A_s=\pi(3)(3}+\sqrt{\sqrt{216}^2+3^2}\)

Simplify,

\(A_s=\pi(3)(3}+\sqrt{\sqrt{216}^2+3^2}\)

\(A_s=\pi(3)(3}+\sqrt{216+9})\)

\(A_s=\pi(3)(3}+\sqrt{225})\)

\(A_s=\pi(3)(3}+15)\)

\(A_s=\pi(3)(18)\)

\(A_s=\pi(54)\)

Using the properties of parallelograms and the given information, we proved that BAEC is equal to FABC. We utilized angle-angle similarity and the proportional relationships of corresponding sides in similar triangles to establish the equality.

To prove that BAEC = FABC, we will use the properties of parallelograms and the given information.

Given:

ABCD is a parallelogram.

BE is parallel to CD.

BF is parallel to AD.

To prove:

BAEC = FABC

Proof:

Since ABCD is a parallelogram, we know that opposite sides are parallel and equal in length. Let's denote the length of AB as a, BC as b, AD as c, and CD as d.

Since BE is parallel to CD and AD is parallel to BF, we have angle ABE = angle CDF and angle ADB = angle BFD.

By alternate interior angles, angle CDF = angle FAB.

Now, we have two pairs of congruent angles: angle ABE = angle CDF and angle ADB = angle BFD.

Using angle-angle similarity, we can conclude that triangle ABE is similar to triangle CDF and triangle ADB is similar to triangle BFD.

As the corresponding sides of similar triangles are proportional, we have the following ratios:

AB/CD = AE/CF (from triangle ABE and triangle CDF similarity)

AD/BC = BD/CF (from triangle ADB and triangle BFD similarity)

Cross-multiplying the ratios, we get:

AB * CF = CD * AE (equation 1)

AD * CF = BC * BD (equation 2)

Adding equation 1 and equation 2, we have:

AB * CF + AD * CF = CD * AE + BC * BD

Factoring out CF, we get:

CF * (AB + AD) = CD * AE + BC * BD

Since AB + AD = CD (opposite sides of a parallelogram are equal), we have:

CF * CD = CD * AE + BC * BD

Simplifying, we get:

CF = AE + BC

Therefore, we have shown that BAEC = FABC.

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You can use the circumference of the circle that the blade makes to calculate the linear velocity at the end of the blade.

The linear velocity at the end of the blade is 13571.7 inches per minute

You can think of it as if some circle is being drawn by the end of the blade and then that circle is like wheel of a bicycle and its travelling on road. Each rotation will make it cover distance equal to its circumference. Since there are 60 revolutions of the blade in each minute, thus, 60 rounds of that wheel.

The total distance in 1 minute = 60 times circumference of the circle made by the end of the blade of the lawnmower.

Since the blade is 36 inches long, it can be taken as radius of that circle.

The circumference is thus calculated as \(2 \times \pi \times 36 = 226.19 \: \rm inches\)

Thus, linear velocity = 226.19 times 60 inches per minute = 13571.7 inches per minute

Thus,

The linear velocity at the end of the blade is 13571.7 inches per minute

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Answer:

i think its D or 4,320pi

Step-by-step explanation:

just divided the previous persons answer by pi and its d on edge 2022.