Write a word problem for 3(2x)=6x

The solution of the indefinite integral ∫ sin x cos x dx is (1 / 2) · sin² x + C.

There are integrals that can be solved by means of algebraic substitutions, which simplifies the expression and allow a quicker solution. Now we proceed to find the solution. First, define algebraic subtitution:

u = sin x

du = cos x dx

Second, simplify the integral by formulae defined in the previous step:

∫ sin x cos x dx

∫ u du

Third, integrate the resulting expression:

(1 / 2) · u² + C, where C is the integration constant.

Fourth, reverse the algebraic substitution:

(1 / 2) · sin² x + C

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Answer: 1/3=4/12 is true

Step-by-step explanation:

the others are false because 6/12 is smaller than 2/3, 8/12 is greater than 2/3 and 1/3 is equal to 4/12 not less than.

The inequality that describes the problem is,

⇒ x + $49.95 < $120

Where, x represent the cost of the headset.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

Allie planned to spend up to $120 on a gaming mouse and headset. She spent $49.95 on a mouse.

Let x represent the cost of the headset.

Hence, We can formulate;

The inequality that describes the problem is,

⇒ x + $49.95 < $120

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Answer:

see below

Step-by-step explanation:

the direct distance between the 2 points should be √9.25 = 3.04, but there's no such answer, so I guess they are making you count the units. By definition the distance cannot be negative.  so it should be 3.5.

However, if this 6th grade math question is testing you on your understanding of the direction of x axis then because a point is plotted at -3 on the axis (cause it's Y value =0), then its distance to (0,0) is -3, and then you go up 0.5 to the next point.  With that said, whether you should add the -3+0.5 = -2.5  that'll depend on the teacher or the textbook - not exactly sure what they are trying to test you on.  it's a very vague question.

The volume of the solid formed by rotating the function f(x)=x about the x-axis from x=0 to x=1 is equal to the integral of the area of the cross-section of the solid from x=0 to x=1. The area of the cross-section is equal to the area of a circle with radius x, which is equal to πx. Thus, the volume of the solid is equal to the integral of πx from x=0 to x=1.

This integral can be solved using the formula for the area of a circle, which is equal to πr. Thus, the volume of the solid is equal to π∫x dx from x=0 to x=1. After solving the integral, the volume of the solid is equal to π/3. Thus, the volume of the solid formed by rotating the function f(x)=x about the x-axis from x=0 to x=1 is equal to 0.3333.

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The description of the  change in distance over time is;

He ran further away from home, then sped up and went further. He then

slowed down, still going further from home. He then turned

around and headed home.

A distance-time graph is defined as a graph that shows how far an object has travelled in a given time. It is a simple line graph that denotes distance versus time findings on the graph. Distance is plotted on the y-axis. Time is plotted on the x-axis.

From the attached graph, we see that Wesley ran further away from home, and then he sped up and went further in the journey. He then

slowed down, and still going further from home. Finally, he turned

around and headed home.

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Answer:

please take a picture of the triangle so I can help you.

Since the sum of the numbers selected must exceed 1, we know that n must be at least 1. Therefore, the expected value of X is finite and is equal to 2.

The expected value of the count of numbers that are selected can be found using the geometric distribution, since it models the number of trials until a success occurs.

Let X be the number of numbers that are selected until the sum of all numbers exceeds 1. Then X has a geometric distribution with parameter p, where p is the probability of success on each trial, i.e. the probability that the sum of all numbers selected does not exceed 1.

Since the numbers are selected uniformly over [0, 1], the probability of success on each trial is given by the area under the curve between 0 and 1 after the first number is selected.

On the first trial, the probability of success is 1. On the second trial, the probability of success is the area under the curve between 0 and (1 - the first number selected).

On the third trial, the probability of success is the area under the curve between 0 and (1 - the sum of the first two numbers selected), and so on.

The expected value of X can be found using the formula for the expected value of a geometric distribution:

E(X) = 1/p

Since the expected value of the sum of n independent and identically distributed uniform [0, 1] random variables is n/2, we can use this to find p:

E(X_1 + X_2 + ... + X_n) = n/2

where X_1, X_2, ..., X_n are the n numbers selected.

So, p = 1 / (1 + n/2).

Finally, we can substitute this into the formula for E(X) to find the expected value of X:

E(X) = 1 / (1 - n/2) = 2 / (2 - n)

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(a) Probability(3 white) = (19/52) * (18/51) * (17/50) = 0.027

(b) P(3 white, 2 tan, 1 pink, 1 yellow, 2 green) = (19/52) * (18/51) * (17/50) * (10/49) * (9/48) * (7/47) * (5/46) * (6/45) * (6/44) = 0.00004

(a) The probability of selecting three white hearts is calculated by multiplying the probability of selecting each heart. The probability of selecting one white heart is 19/52. The probability of selecting two white hearts is 18/51, and the probability of selecting three white hearts is 17/50. When multiplied together, the overall probability is 0.027.

(b) The probability of selecting three white hearts, two tan hearts, one pink heart, one yellow heart, and two green hearts is calculated by multiplying the individual probabilities for each heart. The probability of selecting one white heart is 19/52, the probability of selecting two tan hearts is 10/49, the probability of selecting one pink heart is 7/47, the probability of selecting one yellow heart is 5/46, and the probability of selecting two green hearts is 6/45. When multiplied together, the overall probability is 0.00004.

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The scale of the model airplane is 5 feet : 1 inch

The scale of the model airplane can be found by dividing the actual wing span by the model wing span

So, we have the following representation

Scale = 90 feet/18 inches

Evaluate the quotient

So, we have the following representation

Scale = 5 feet/inches

Express as ratio

Scale = 5 feet : 1 inch

So, the scale of the model airplane is 5 feet : 1 inch

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The triangles ∆ABC and ∆BMK are similar triangles, and ∆ABC ≅ ∆BMK. The perimeter of the quadrilateral ACKB is equal to 74 feet.

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

We have that line AC of the triangle ∆ABC is parallel to line BK of the triangle ∆BMK and also line CB of the triangle ∆ABC is parallel to line KM of the triangle ∆BMK which implies that lines AB and BM are of equal distance. Given that B is the midpoint of AM. We can conclude that triangles ∆ABC and ∆BMK are similar triangles.

Since ∆ABC is an equilateral triangle, then all the sides of the quadrilateral ACKB are equal and its perimeter is calculated as:

18.5 feet × 4 sides of the quadrilateral = 74 feet.

In conclusion, the triangles ∆ABC and ∆BMK are similar triangles, and ∆ABC ≅ ∆BMK. The perimeter of the quadrilateral ACKB is equal to 74 feet.

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Construction of a circumscribed circle mainly includes three steps.

A circumscribed circle is a circle that passes through all the vertices of a polygon. The center of the circumscribed circle is equidistant from all the vertices of the polygon, making it the largest circle that can be drawn around the polygon.

In order to construct a circumscribed circle for a given polygon, we follow a given set of steps.

Step 1: Create perpendicular bisector of the sides of the triangles.

Step 2: They will intersect at the circumcenter.

Step 3: Draw a circle with the center at the point obtained in step 2 and touching the sides of the triangle.

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Based on the graph of the system of equations, the cost of the two shipping options would be the same when: A. A package that weighs 4 pounds will cost $12 for both options.

Based on the information provided above, the customer sent a package for $4 with an additional $2 per pound. The total cost, y, can be represented by this equation:

y = 4 + 2x    ....equation 1.

where:

x represents the amount of pounds of the package.

For the second option, the total cost can be represented by this equation:

y = 12    ....equation 1.

By equating equation 1 and equation 2, we have the following:

12 = 4 + 2x

2x = 12 - 4

2x = 8

x = 4.

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Answer:

A. A package that weighs 4 pounds will cost $12 for both options.

Step-by-step explanation:

The body surface area is given by the equation A = 1.6865 m²

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the body surface area be represented as A

Now , the equation will be

A = ( HW / 3600 )^1/2

A = √( HW / 3600 )   be equation (1)

where H is the height in centimeters and W is the weight in kilograms

Now , the value of H = 160 cm

The value of W = 64 kg

Substituting the values in the equation , we get

A = √ [ ( 160 x 64 ) / 3600 ]

On simplifying the equation , we get

A = √ ( 10240/3600 )

A = √ ( 2.8444 )

A = 1.6865 m²

Therefore , the body surface area is 1.6865 m²

Hence , the equation is A = 1.6865 m²

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An equation for the profit function is expressed as; h(x) = 0.19x + b

The parameters in the given problem are;

Amount of profit made so far this year = $18500

The revenue from now through the end of the year = $x

Percentage profit for the rest of the year = 19%

Since profit made so far is $18500, then that will be regarded as the y-intercept from the linear equation form;

y = mx + b

Now, 19% profit will be regarded as the slope. Thus, the equation for the function is;

h(x) = 0.19x + b

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The strongly connected components of graph g are then determined to be the set of vertices {A, B, C, D, E}. This is because each vertex is reachable from every other vertex in the graph.

Graph g:

A→B

B→C

C→D

D→E

E→A

The strongly connected components algorithm is used to determine the strongly connected components of a directed graph. A strongly connected component is a subgraph of a directed graph in which every vertex is reachable from every other vertex.

The algorithm begins by running a depth-first search (DFS) on the graph. When running DFS on graph g, we start at vertex A and explore all its adjacent vertices before moving to the next vertex. In this case, we explore vertex B first. We then explore vertex C, followed by D and E. Finally, we explore vertex A again before finishing the DFS.

Once the DFS is complete, the algorithm then computes the transpose of the graph. The transpose of a graph is the graph with all the edges reversed. For graph g, this would be A←B, B←C, C←D, D←E, and E←A.

Finally, the algorithm runs a second DFS on the transpose of the graph. Since the edges are reversed, we start at vertex A and explore its adjacent vertices in reverse order. In this case, we explore vertex E first, followed by D, C, B, and finally A.

The strongly connected components of graph g are then determined to be the set of vertices {A, B, C, D, E}. This is because each vertex is reachable from every other vertex in the graph.

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The area of the triangle is 32 [tex]cm^2.[/tex]We can use horizontal slices to find the area of any two-dimensional shape.

We can use horizontal slices to find the area of the isosceles triangle with height 4 cm and width 8 cm. We set a slice at height h and determine the width of the slice, which is 8 cm. We then integrate the area of the slice (width x height) with respect to h, from 0 to 4 cm. This gives us the area of the triangle, which is 32[tex]cm^2[/tex].

We can use horizontal slices to find the area of any two-dimensional shape. We set a slice at a given height h, and determine the width of the slice. We then integrate the area of the slice (width x height) with respect to h, from the lower boundary of the shape to the upper boundary. This gives us the area of the shape. For example, to determine the area of an isosceles triangle with height 4 cm and width 8 cm, we would set a slice at height h and determine the width of the slice, which is 8 cm. We then integrate the area of the slice (width x height) with respect to h, from 0 to 4 cm. This gives us the area of the triangle, which is 32 [tex]cm^2.[/tex]

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Answer:

no clue

Step-by-step explanation i cant help you with this and i just tying to get points

I think what you are looking for is:

Random Selection Method

The trace of any two matricess A, B is tr(AB)=tr(A)+tr(B) and tr(AB)=tr(BA).

a) Let A and B be two matrices with dimensions [tex]$n \times n$[/tex]. Then the trace of a matrix is defined as the sum of its diagonal elements, so the trace of A can be written as [tex]$\text{tr}(A) = \sum\limits_{i=1}^n A[i,i]$[/tex] and the trace of B can be written as [tex]$\text{tr}(B) = \sum\limits_{i=1}^n B[i,i]$[/tex].

The product of matrices A and B is a matrix C with dimensions [tex]$n \times n$[/tex], where [tex]$C[i,j] = \sum\limits_{k=1}^n A[i,k] B[k,j]$[/tex].

The trace of the product of matrices A and B can be written as [tex]$\text{tr}(AB) = \sum\limits_{i=1}^n (AB)[i,i] = \sum\limits_{i=1}^n \sum\limits_{k=1}^n A[i,k] B[k,i] = \sum\limits_{k=1}^n A[k,k] B[k,k]$[/tex].

By the distributive property of multiplication, [tex]$\text{tr}(AB) = \sum\limits_{k=1}^n A[k,k] B[k,k] = (\sum\limits_{k=1}^n A[k,k]) + (\sum\limits_{k=1}^n B[k,k]) = \text{tr}(A) + \text{tr}(B)$[/tex].

So, we have shown that [tex]$\text{tr}(AB) = \text{tr}(A) + \text{tr}(B)$[/tex].

b) Let A and B be two matrices for which the products AB and BA are defined. Then the trace of the product AB can be written as [tex]$\text{tr}(AB) = \sum\limits_{i=1}^n (AB)[i,i]$[/tex]

and the trace of the product BA can be written as

[tex]$\text{tr}(BA) = \sum\limits_{i=1}^n (BA)[i,i]$[/tex].

By definition, the elements of the matrices AB and BA are given by [tex]$(AB)[i,j] = \sum\limits_{k=1}^n A[i,k] B[k,j]$[/tex] and [tex]$(BA)[i,j] = \sum\limits_{k=1}^n B[i,k] A[k,j]$[/tex],

respectively. By switching the order of summation, we have [tex]$\text{tr}(AB) = \sum\limits_{i=1}^n \sum\limits_{k=1}^n A[i,k] B[k,i] = \sum\limits_{k=1}^n \sum\limits_{i=1}^n A[i,k] B[k,i] = \text{tr}(BA)$[/tex].

So, we have shown that [tex]$\text{tr}(AB) = \text{tr}(BA)$[/tex].

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The best solution is to use the elimination method. The best approach to utilize is the elimination technique while trying to solve a problem 4x+y=1 2x+y=8.

First-order kinetics of elimination Elimination of a fixed portion of the drug amount existing in the body per unit of time. The fraction of elimination to drug concentration.

4x + y = 1 --------(1)

2x + y = 8---------(2)

subtract (2) from (1)

2x = -7

divide bothside by 2

2x/2 = -7/2

x= -7/2

we can substitute x = -7/2 in any of the equations.

Lets take equation (1)

4x + y = 1

4(-7/2) + y =1

2(-7) + y = 1

-14 + y = 1

y = 1+14

y =15

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Answer:

Option D) 38.2

Solution

1) The square section

The side length of the square is 15m.

You can use Pythagoras's theorem to find the length of the diagonal:

Diagonal ^2 = (15m)^2 + (15m^2) = 450 m^2

=> Diagonal = √(450m^2) = 21.21m

2)  The small rectangle section

The sides of this rectangle are 23 - 15 = 8 m and 15 m

Now use the Pythagoras's theorem:

diagonal^2 = (8m)^2 + (15m)^2 = 289 m^2 =>

diagonal = √(289m^2) = 17 m

3) Then the sum of the lengths of the diagonals of the two sections  is 17m + 21.21 m = 38.21

Answer: 38.21 m

The solution to the algebraic expression (2*3)*5 using a*b= a+b -2ab is; 68

Algebraic expressions are defined as the idea of expressing numbers using letters or alphabets without truly specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as a, b, c etc. These letters are usually referred to as variables.

We are given the format for the algebraic expression as;

a*b = a + b - 2ab

Thus, we can solve the expression (2*3)*5 as;

(2*3) = 2 + 3 - 2(2*3)

= -7

(-7 * 5) = -7 + 5 - 2(-7 * 5)

= -2 + 70

= 68

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The value of the equation is A = - $ 74,80,90,00,000

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

The profit of Apple in 2018 P = $ 48,351,000,000

The loss of AOL Time Warner in 2002 L = $ 123,160,000,000

So , the difference between between Apple's 2019 profits and AOL Time Warner's 2002 losses is A

A = P - L

Substituting the values in the equation , we get

A = $ 48,351,000,000 - $ 123,160,000,000

On simplifying the equation , we get

A = - $ 74,80,90,00,000

Hence , the equation is A = - $ 74,80,90,00,000

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The coordinates of the centroid of the given triangle can be found by using the midpoint formula to calculate the coordinates of points P, Q, and R, and then taking the average of the x-coordinates and y-coordinates of these points.

The centroid of a equilateral triangle can be found by drawing the medians of the triangle. The median of a triangle is a line segment connecting a vertex of the triangle to the midpoint of the opposite side. The three medians of an equilateral triangle intersect at the centroid. In this scenario, the centroid of the given triangle is point G.

The midpoints of the sides of the triangle are points D, E, and F. The midpoints of the medians of the triangle are points P, Q, and R. The coordinates of the points can be found using the midpoint formula. The midpoint formula states that the coordinates of the midpoint of a line segment is the average of the x-coordinates and the average of the y-coordinates of the endpoints of the line segment.

The coordinates of the centroid, G, can be found by taking the average of the x-coordinates and y-coordinates of the midpoints of the medians. The x-coordinate of G is the average of the x-coordinates of P,Q, and R, and the y-coordinate of G is the average of the y-coordinates of P,Q, and R.

Finally, the coordinates of the centroid of the given triangle can be found by using the midpoint formula to calculate the coordinates of points P, Q, and R, and then taking the average of the x-coordinates and y-coordinates of these points.

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Complete question:

What is the area of the square with vertices [tex]$d$, $p$, $q$[/tex] ?

The probability P that exactly has blue eyes is P = 0.1887

The probability of exactly t people having blue eyes can be calculated using the binomial distribution formula. The binomial distribution models the number of successes in a fixed number of independent trials, where each trial has the same probability of success.

In this case, the number of trials is 4, the probability of success is 0.41 (the probability of an individual having blue eyes), and the number of successes is the number of people with blue eyes. Plugging in these values into the binomial distribution formula gives us the probability of exactly t people having blue eyes.

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Answer:

53.137 (sq.units).

Step-by-step explanation:

1. to draw red line in order to divide the given shape by two figures;

2. the required area consists of two: green - area of semicircle with radius r= 3 and blue  - area of trapezoid with bases 8 and 5 and height 6. Then

3. the required area is

A=A(semicircle)+A(trapezoid);

A≈0.5*3.1415*3²+0.5*(8+5)*6=0.5*(28,274+78)=53.137

Answer:

53.137 sq.units also its a explanation for this answer

Step-by-step explanation:

the sq.untits would be a 53.137 hope this helps!

B. II only. This initializes an 8 X 10 matrix with integer values that are perfect squares by looping through the rows and columns of the matrix and setting each element equal to the row number multiplied by itself.

II initializes an 8 X 10 matrix with integer values that are perfect squares. The initialization starts by declaring the matrix with the line int [][] mat = new int [8][10]; which creates the 8 X 10 matrix. The next step is to use a nested for loop to loop through the rows and columns of the matrix. The first loop, for(int r=0; r<mat.length; r++), begins by setting an integer variable r to 0 and looping through all of the rows in the matrix. The second loop, for(int c=0; c<mat[r].length; c++), begins by setting an integer variable c to 0 and looping through all of the columns in the matrix. Finally, the last line, mat[r][c] = r*r;, sets each element of the matrix equal to the row number multiplied by itself. This ensures that the values in the matrix are all perfect squares.

The complete question : Which of the following initializes an 8 X 10 matrix with integer values that are perfect squares? (0 is a perfect square.)

I. int [][] mat = new int [8][10];

II. int [][] mat = new int [8][10];

for (int r=0; r<mat.length; r++){

for(int c=0; c<mat[r].length; c++){

mat[r][c] = r*r; }}

III. int [][] mat = new int [8][10];

for (int c=0; c<mat[r].length; c++){

for(int r=0; r<mat.length; r++){

mat[r][c] = c*c; }}

A. I only

B. II only

C. III only

D. I and II

E. I, II, and III

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The length of the wing is, 12 inches.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

The scale is,

⇒ 1 inch = 2 feet

And, Wing of airplane is 24 feet.

Now, We have;

The scale is,

⇒ 1 inch = 2 feet

Hence, The length of wing is,

⇒ 24 / 2 inches

⇒ 12 inches

Thus, The length of the wing is, 12 inches.

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