what is a equation for 11 5 and b

Answer:bro need more classification

Step-by-step explanation:

Step-by-step explanation:

simply use the formula as given in the image

3(x−2)−5x−10

Distribute:

=(3)(x)+(3)(−2)+−5x+−10

=3x+−6+−5x+−10

Combine Like Terms:

=3x+−6+−5x+−10

=(3x+−5x)+(−6+−10)

=−2x+−16

Answer:

=−2x−16

Answer:

-2x - 16

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

3(x - 2) - 5x - 10

Step 2: Simplify

The rectangular coordinate for the polar coordinate (4, 210°) is  (-3.46, -2).

The rectangular coordinate for the polar coordinate (4, 210°) is calculated by applying the following formula as shown below;

x = r cos(θ)

y = r sin(θ)

where;

From the given  polar coordinate (4, 210°);

r = 4

θ = 210⁰

The rectangular coordinate is calculated as follows;

x = 4 x cos(210°)

y = 4 x sin(210°)

x = -3.46

y = -2

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The equal ordered pairs are [7,6] and [2+5,3+3] and [-2,-3] and [-10/5,-6/2]. So, the correct answer is A) and C).

[7,6] and [2+5,3+3]

The ordered pair [7,6] represents a point in the coordinate plane that is 7 units to the right of the origin and 6 units above the origin.

The ordered pair [2+5,3+3] can be simplified to [7,6]. Therefore, the two ordered pairs are equal.

[1,6] and [6,1]

The ordered pair [1,6] represents a point in the coordinate plane that is 1 unit to the right of the origin and 6 units above the origin.

The ordered pair [6,1] represents a point in the coordinate plane that is 6 units to the right of the origin and 1 unit above the origin.

Therefore, the two ordered pairs are not equal.

[-2,-3] and [-10/5,-6/2]

The ordered pair [-2,-3] represents a point in the coordinate plane that is 2 units to the left of the origin and 3 units below the origin.

The ordered pair [-10/5,-6/2] can be simplified to [-2,-3]. Therefore, the two ordered pairs are equal.

Therefore, the ordered pairs are [7,6] and [2+5,3+3], [-2,-3] and [-10/5,-6/2] are equal pairs.  So, the correct options are A) and C).

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Answer:

y=x2

I got it solved! tell me if it helped

Answer:

21.4 m²

Step-by-step explanation:

To find the surface area of this whole triangular prism, we have to look at the bases (the triangles), find their surface area, then look at the sides (the rectangles) and find theirs.

Let's start with the triangles. The area of any triangle is \(\frac{bh}{2}\). The base of this triangle is 2m (because there are 2 one meters) and the height is 1.7m.

\(\frac{2\cdot1.7}{2} = \frac{3.4}{2} = 1.7\)

So the area of one of these triangles is 1.7m. Multiplying this by two, because there are two triangles in this prism:

\(1.7\cdot2=3.4\)

Now let's find the area of the sides.

The side lengths are 2 and 3, so

\(2\cdot3=6\), and there are 3 sides (including the bottom/floor) so \(6\cdot3=18\).

Now we add.

\(18+3.4=21.4\) m².

Hope this helped!

Answer: 21.4 square meters^2

Step-by-step explanation:

Answer: What is the question?

Step-by-step explanation:

Given the function y=3⋅7−x+2, the general form of the function is y = a(x-h) + k, where "a" represents the vertical stretch or compression of the function, "h" represents the horizontal shift, and "k" represents the vertical shift of the graph.The given function can be transformed by applying vertical reflection and horizontal translation to the graph of the parent function.

Hence, we can use the transformations to graph the given function y=3⋅7−x+2.Solution:Comparing the given function with the general form of the function, y = a(x-h) + k, we can identify that:a = 3, h = 7, and k = 2We can now use these values to graph the given function and obtain its transformational form

.First, we will graph the parent function y = x by plotting the coordinates (-1,1), (0,0), and (1,1).Next, we will reflect the parent function vertically about the x-axis to obtain the transformational form y = -x.Now, we will stretch the graph of y = -x vertically by a factor of 3 to obtain the transformational form y = 3(-x).Finally, we will translate the graph of y = 3(-x) horizontally by 7 units to the right and vertically by 2 units upwards to obtain the final transformational form of the given function y=3⋅7−x+2.

Hence, the graph of the given function y=3⋅7−x+2 can be obtained by applying the vertical reflection, vertical stretch, horizontal translation, and vertical translation to the parent function y = x.

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The triple integral ∫∫∫ex^2 y^2 dv in cylindrical coordinates evaluates to ∫ from 0 to 1, ∫ from 0 to 2π, and ∫ from 0 to (1-9r^2) e^r^2cos^2θsinr drdθdz.

In cylindrical coordinates, the given solid e is represented by the inequality 0 ≤ z ≤ 1-9r^2. Therefore, the limits of integration for z are 0 to 1-9r^2. The circular base of the solid is given by x^2 + y^2 ≤ 1/(9z), which can be rewritten as r^2 ≤ 1/(9z).

Thus, the limits of integration for r are 0 to √(1/(9z)). The angle θ ranges from 0 to 2π. Hence, the triple integral can be expressed as ∫ from 0 to 1, ∫ from 0 to 2π, and ∫ from 0 to √(1-9r^2) e^r^2cos^2θsinr drdθdz. Solving this integral yields the required answer.

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If the store makes $1, 052, 000 then 24,500 red caps, 14,400 blue caps, and 10,100 green caps were sold.

Let's use the variables "r", "b", and "g" to represent the number of red, blue, and green caps sold, respectively.

From the problem statement, we know that:

r + b + g = 49,000 (total number of caps sold)

r = b + g (number of red caps equals the total number of blue and green caps)

25r + 20b + 15g = 1,052,000 (total revenue generated from selling caps)

We can use the first two equations to eliminate one of the variables. Since we have an equation that relates r to b and g, we can substitute that expression for r in the other two equations:

b + g + b + g = 49,000 (substituting r = b + g into the first equation)

25(b + g) + 20b + 15g = 1,052,000 (substituting r = b + g into the third equation)

Simplifying the first equation, we get:

2b + 2g = 49,000

b + g = 24,500

Substituting this expression for b + g in the second equation, we get:

25(b + g) + 20b + 15g = 1,052,000

25(24,500) + 20b + 15g = 1,052,000

612,500 + 20b + 15g = 1,052,000

20b + 15g = 439,500

We now have two equations with two unknowns. We can solve for one of the variables using one of the equations, and then substitute the solution back into the other equation to solve for the other variable.

Let's use the second equation to find the value of "g":

20b + 15g = 439,500

15g = 439,500 - 20b

g = (439,500 - 20b)/15

Since we know that b + g = 24,500, we can substitute this expression for "g" to get an equation in terms of "b" only:

b + (439,500 - 20b)/15 = 24,500

15b + 439,500 - 20b = 367,500

-5b = -72,000

b = 14,400

Substituting this value of "b" into b + g = 24,500, we get:

14,400 + g = 24,500

g = 24,500 - 14,400

g = 10,100

Finally, we can use the equation r = b + g to find the value of "r":

r = b + g

r = 14,400 + 10,100

r = 24,500

Therefore, the number of red, blue, and green caps sold are:

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Probability or p-vale that the sample mean would differ from the population mean by less than 221 miles in a sample of 56 tires is equals to zero if the manager is correct.

We have data of an operation manager at a tire manufacturing company.

Mean mileage of a tire, \( \mu\)

= 37,014 miles

standard deviation, \( \sigma\)

= 4617 miles.

Sample size, n = 56

We have to determine the probability that the sample mean would differ from the population mean by less than 221 miles. Using Z-score formula in normal distribution, \(\small z= \frac{ \bar x-\mu }{\frac{\sigma }{\sqrt{n}}},\)

Plugging all known values in above formula, \(z = \frac{ 221 - 37,014} {\frac{4617}{ \sqrt{56}}}\)

= 59.634

\(P( \bar x < 221) = P ( \frac{ \bar x-\mu }{\frac{\sigma }{\sqrt{n}}} < \frac{ 221 - 37,014} {\frac{4617}{ \sqrt{56}}}) \\ \)

=> P ( z < 59.63) = P( \bar x < 221)

Using the Z-distribution table, probability value is equals to 0. Hence, required probability is zero.

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Answer:

20,000 divided by 4,250

Step-by-step explanation:

Answer:

acute-angled

Step-by-step explanation:

It doesn't have a right angle and one of its corners isn't for than 90 degrees

Using the standard z table, a 95% confidence interval for p is (0.5327,0.6173).

In the given question,

A poll is taken in which 302 out of 525 randomly selected voters indicated their preference for a certain candidate.

We have to find a 95% confidence interval for p.

From the question, x=302, n=525

So estimation point,

P=x/n

P=302/525

P=0.575

Now the z value of 95% confidence interval is 1.960 using the standard z table.

Margin of Error (E)=z×√{P(1−P)}/n

Now putting the value

E=1.960×√{0.575(1−0.575)}/525

E=1.960×√(0.575×0.425)/525

E=1.960×√0.244/525

E=1.960×√0.000465

E=1.960×0.0216

E=0.0423

At 95% confidence interval for p is

P−E ≤ p ≤ P+E

Now putting the value

0.575−0.0423≤ p ≤0.575+0.0423

0.5327≤ p ≤0.6173

Hence, a 95% confidence interval for p is (0.5327,0.6173).

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Answer:

a.)A and B are the intersection between the two curves. The x coordinate is the equation

\(f(x) = g(x)\)

Let's solve it

\(\frac12 (x-2)^3 +1 = 2x^2-6x-3\\x^3-6x^2+12x-8+2=4x^2-12x-6\\x^3-10x^2+24x=0\\x(x^2-10x+24)=0\\x(x-4)(x-6)=0\)

We can see that if we substitute x= 0 or x= 4 the equation is verified.

b. The equation has a third solution, x = 6, that is too far to the right to be visible in the graph.

c. the x coordinate of C is the solution of \(f(x)=0\) or \(\frac 12 (x-2)^3 +1=0\\(x-2)^3 = -2\\(x-2) = -\sqrt[3]2\)

At this point let's guesstimate the cubic root of 2 -let's say the cubic root of 2 is equal to 1plus an error e, and since we know how to calculate the cube of a binomial, let's build it.

\((1+e)^3 = 2 \rightarrow 1+3e+3e^2+e^3 = 2\) Now, assuming the error is small enough, it's square and its cube gets even smaller. (if the error is 0.1, it's square becomes 0.01 and the cube 0.01), let's ignore them. \(1+3e=2 \rightarrow 3e=1 e= \frac13\) So, going back to our equation, we can tell that the right hand side is [\(\mathbb{R}\)]-(1+\frac13)\) Not perfect, but good enough. Let's solve it now.

\(x-2= -1-\frac13 \rightarrow x=1-\frac13 = \frac23\)

Which seems close enough from the photo.

c. Domain of both function are the whole Real set, since they're polynomials. Range of f(x) is again the whole real set, since it's an odd degree polynomial. g(x) is a parabula and its range is for y above the vertex y-coord, which is \(y>g(\frac32) = 2(\frac94)-6(\frac32)-3 = \frac92 -3(\frac62) -\frac62 = \frac92-4\frac62= -\frac{24-9}2 = -\frac{15}2\)

Answer:

0.26

Step-by-step explanation:

just took the quiz

Interchange (switch) the value of x and y in "y = x + 5" as x = y + 5, subtract 5 from both sides and re-write in the form "y = f(x)" as y = x - 5.

In Mathematics, an inverse function can be defined as a type of function that is obtained by reversing (undoing) the operation of a given function (f(x)).

The steps required to write the inverse of f(x) = x + 5 include the following:

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Answer: 30 mins + 30 mins + 20 Mins

= 80 Minutes

Step-by-step explanation:

= 4√6 × 5√2

= (4 × 5)√(6 × 2)

= 20√12

= 20√(4.3)

= 2 × 20√3

= 40√3

The answer is, the correct statement are , 1. The matrix B² is positive definite if A is positive definite. ,2. A square matrix and its transpose have the same set of eigenvectors. , 3. A real square matrix has only real eigenvalues. , 4. The dimension of the row space of a matrix A with rank 4 is 4. , 5. The dimension of the null space of matrix A is 4.

the correct statements from the options provided:

1. The matrix B² is positive definite if A is positive definite.
2. A square matrix and its transpose have the same set of eigenvectors.
3. A real square matrix has only real eigenvalues.
4. The dimension of the row space of a matrix A with rank 4 is 4.
5. The dimension of the null space of matrix A is 4.

Please note that the statements regarding the values of x, dx, v, r, Av, and trace are incomplete or incorrect, so I have not included them in my answer.

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it's 490 because when you get a zero or less it takes 10 points off your grade which leaves 490 students with good grades.

Step-by-step explanation:

Similar by SAS property.

5/15 = 9/27, corresponding angles = 31°.

Answer:

Step-by-step explanation:

(a) and (b) see diagram

(c) you can see from the graph, the purple line hits the parabola twice which is y=6   or k=6

(d)  Solving simultaneously can mean to set equal

6x - x² = k                        >subtract k from both sides

6x - x² - k = 0                  >put in standard form

- x² + 6x - k = 0               >divide both sides by a -1

x² - 6x + k = 0

(e) The new equation is the same as the original equation just flipped (see image)

(f)  The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal.  I chose new)

discriminant formula = b² - 4ac

equation:   x² - 6x + 6 = 0            a = 1      b=-6    c = 6

discriminant = b² - 4ac

discriminant= (-6)² - 4(1)(6)

discriminant = 36-24

discriminant = 12

Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.

The height of the tower is about 250 feet.

We can use trigonometry to determine the height of the tower.

Let's label the height of the tower as "h". Then we can use the sine function:

sin(39) = h/400

Multiplying both sides by 400, we get:

h = 400 × sin(39)

h = 250.11.

Hence, the height of the tower is about 250 feet.

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Answer:

h(x) = 12x – 6

Step-by-step explanation:

To know which is the function that represents the area of a triangle, you take into account the degree of the given polynomials.

If the degree is 2, the graph of the function is a parabola.

If the degree is 1, the graph of the function is a line.

By comparing all functions you can conclude that only the last option (h(x)=12-x-6) is convenient to construct a triangle. The y-intersect of the function is at y=-6, the slope is positive and the x-intersect is x=1/2. This forms a triangle in the fourth quadrant of the coordinate system.

Answer:

B. g(x) = 12x2 – 6x

Step-by-step explanation:

correct on edge 2020

To split a singly linked list into k consecutive parts with roughly equal sizes, you can use the following algorithm:

1. Calculate the length of the linked list by iterating through it.
2. Determine the size of each part by dividing the length by k, and the remainder by using the modulus operator (%).
3. Initialize an array of linked list nodes with a size of k to store the head of each part.
4. Iterate through the linked list, and for each part:
  a. Assign the current node as the head of the current part in the array.
  b. Determine the number of nodes for the current part by adding the base size, and if the current part index is less than the remainder, add 1.
  c. Move the current node pointer to the last node of the current part by iterating through the determined number of nodes.
  d. Set the next pointer of the last node of the current part to null, and move the current node pointer to the next node in the linked list.
5. Return the array of the k parts.

This algorithm ensures that the linked list is split into k consecutive parts with sizes as equal as possible, and parts occurring earlier have a size greater than or equal to parts occurring later.

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Values of the provided derivatives at x=0 are:

d/dx(uv) = 21, d/dx(u/v) = -9/4, d/dx(v/u) = 9/25, d/dx(6v-5u) = -33.

To obtain the values of the derivatives at x=0, we can use the rules of differentiation and the provided initial conditions.

a. To obtain d/dx (uv) at x=0, we can use the product rule:

d/dx (uv) = u'v + uv'

Substituting the initial conditions, we have:

d/dx (uv) = u'(0)v(0) + u(0)v'(0)

           = 3 * 2 + (-5) * (-3)

           = 6 + 15

           = 21

Therefore, d/dx (uv) at x=0 is 21.

b. To obtain d/dx (u/v) at x=0, we can use the quotient rule:

d/dx (u/v) = (v * u' - u * v') / v^2

Substituting the initial conditions, we have:

d/dx (u/v) = (2 * 3 - (-5) * (-3)) / 2^2

             = (6 - 15) / 4

             = -9 / 4

Therefore, d/dx (u/v) at x=0 is -9/4.

c. To obtain d/dx (v/u) at x=0, we can use the quotient rule again:

d/dx (v/u) = (u * v' - v * u') / u^2

Substituting the initial conditions, we have:

d/dx (v/u) = (-5 * (-3) - 2 * 3) / (-5)^2

             = (15 - 6) / 25

             = 9 / 25

Therefore, d/dx (v/u) at x=0 is 9/25.

d. To obtain d/dx (6v - 5u) at x=0, we can use the sum and constant multiples rules:

d/dx (6v - 5u) = 6 * d/dx (v) - 5 * d/dx (u)

Substituting the initial conditions, we have:

d/dx (6v - 5u) = 6 * v'(0) - 5 * u'(0)

                 = 6 * (-3) - 5 * 3

                 = -18 - 15

                 = -33

Therefore, d/dx (6v - 5u) at x=0 is -33.

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If f: Z₅→Z₅ be a random permutation function , then the Probability , Pr[f(2)=2| f(0)=0 and f(1)=1] is 1/60  .

Let f: Z₅→Z₅ be a random permutation function ;

There are n! permutations functions defined on set of n elements ;

So , the total number of permutations defined on Z₅ is 5! = 120 ;

Now , if f(2) = 2 , f(0) = 0 and f(1) = 1 , then the remaining elements of Z₅ are 3 and 4 .

So , the possible images of 3 and 4 are f(3) = 3 ⇒ f(4) = 4 ;

or f(3) = 4 ⇒ f(4) = 3 .

So , there are only 2 such permutations ,

⇒ Pr[f(2)=2| f(0)=0 and f(1)=1] = 2/120 = 1/60 .

Therefore , the probability Pr[f(2)=2| f(0)=0 and f(1)=1] is = 1/60 .

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The given question is incomplete , the complete question is

Let f : Z₅→Z₅ be a random permutation function. what is Pr[ f(2)=2| f(0)=0 and f(1) = 1 ]? Express your answer as a reduced fraction without any spaces (e.g., 1/10 and not 2/20 or 0.1), or as 0 or 1, if appropriate.