Please write the answer clearlyEvaluate the integral. 5 cot2x dx sin 2x 2

Respuesta es 7.4466666667

The asnwer is 7.4466666667

Answer:

7.45 is the answer if u round it up it equals to this

An isoline that connects all points of highest mean temperature on a world map is called the highest mean temperature isoline.

An isoline is a line on a map that connects points of equal value for a particular variable. In this case, the isoline connects all points of the highest mean temperature, indicating regions with the highest average temperatures.

Therefore, it is referred to as the "highest mean temperature isoline." The other options mentioned are not specifically related to the concept described.

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The answer that correctly represents the sequence described is:

-15, -9, -3, 3, 9, ...

In mathematics, a sequence is an ordered list of numbers, called terms, that follow a certain pattern or rule. The terms of a sequence are usually indexed by natural numbers, starting from some fixed initial value.

A sequence can be either finite or infinite. A finite sequence has a fixed number of terms, while an infinite sequence goes on indefinitely. Sequences can be defined in many ways, such as explicitly giving the formula for each term or defining a recursive formula that describes how to calculate each term from the previous ones.

The sequence described in the problem can be generated by starting with -15 and repeatedly adding 6 to the previous term. So the first few terms of the sequence are:

-15, -15 + 6 = -9, -9 + 6 = -3, -3 + 6 = 3, 3 + 6 = 9, ...

In general, we can write the nth term of the sequence as:

aₙ = aₙ₋₁ + 6

where a₁ = -15 is the first term.

Using this recursive formula, we can find any term in the sequence by adding 6 to the previous term.

Therefore, the answer that correctly represents the sequence described is:

-15, -9, -3, 3, 9, ...

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Answer:

a=11

Step-by-step explanation:

Answer:

n=5

Step-by-step explanation:

All of the bases are 9 so you can set the exponents equal to each other.

Exponents in a fraction mean subtraction so 7-n = 2

-n=-5

n=5

Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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Answer:

I think the answer is y = 3x - 10

Step-by-step explanation:

Since the provided equation is inconsistent, it cannot intersect.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

we can see that the second set of equation,

4x+2y=12

20x+10y=30

4/20=2/10≠12/30

1/5=1/5≠2/5

The given equation is inconsistent so it does not intersect.

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i don’t know at this point pls report this answer so someone else can help them

Answer:

In mathematics, a variable is a symbol which functions as a placeholder for varying expression or quantities, and is often used to represent an arbitrary element of a set. In addition to numbers, variables are commonly used to represent vectors, matrices and functions. In science, there is a independent and dependent variable.

Step-by-step explanation:

Answer:

VARIABLE MEANING: A variable is a letter used to describe an unknown number. A quantity that can change or vary, taking on different values. A letter or symbol representing a varying quantity.

CO EFFICIENT MEANING: A number next a variable behind the letter examples: 4m -3x 6y 5w

EXPRESSION MEANING: An expression is a sentence with a minimum of two numbers and at least one math operation. This math operation can be addition, subtraction, multiplication, and division.

TERM MEANING: It's either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs, or sometimes by divide.

Clockwise rotation 90° about the center of (4,3)

From the given figure,

A, B, C: (1,6) (3,8) (5,6) transform to A'B'C' (7,6) (9,4) (7,2)

Apply clockwise 90° rotation formula:  

x' = (y - y₀) + x₀    

Where  x represent s original position and

            x₀ represents  center

Therefore,

⇒ y' = - (x - x₀) + y₀

For A (1,6) ⇒ A' (7 , 6)

7 = (6 - y₀) + x₀               x₀ - y₀ = 1   ... (1)

6 = - (1 - x₀) + y₀     ⇒           x₀ + y₀ = 7   ... (2)

From (1) + (2):  

2 x₀ = 8   ⇒          x₀ = 4

From (2)-(1):

2 y₀ = 6     ⇒         y₀ = 3

Rotation center is  (4 , 3).      

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The shopper received 75% discount. The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

Mathematicians claim that the four fundamental operations, sometimes known as "arithmetic operations," may express any real number. Divide, multiply, add, and subtract are the four mathematical operations that result in quotient, product, sum, and difference, respectively.

We are given that the original piece of a scarf was $16 and during a store closing sale a shopper saved $12 on the scarf.

So, the discount received = $12

Percentage of discount received = $12/ $16 * 100 = 75%

Hence, the shopper received 75% discount.

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Step-by-step explanation:

Formula used:

\( {a}^{m} . {b}^{m} = (a \times b)^{m} \\ \\ \)

\( {3}^{5} . {4}^{5} \\ = (3 \times 4) ^{5} \\ = {12}^{5} \\ \)

So, Haley is incorrect.

Answer:

\(\lim_{x \to -\infty} f(x) = \infty\) and \(\lim_{x \to \infty} f(x) = \infty\)

Hope this helps!

Step-by-step explanation:

Answer:

5s+7.6 is already simplified

Step-by-step explanation:

Hope I answered your question correctly:)

Answer:

4

Step-by-step explanation:

There are a total of 6 sections that have been completed by him and his friend.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let the section be finished by one is y, and finished by his friend be x.

According to 1st condition,
y = 3x  - - - - - (1)
According to the second condition,
y = 4 + x
From equation 1
3x = 4 + x
2x = 4
x = 2

Now,
y = 3x
y = 3 * 2
y = 6

Thus, there are a total of 6 sections that have been completed by him and his friend.

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The clock minutes rotate 270 degrees in 45 minutes.

While rotating, the clock's hands are seen to move at a speed of six degrees per minute.

The number of degrees for a clock minute is solved by

60 minutes  = 360 degrees

1 minute = ?

cross multiplying

60 * ? = 360

? = 360 / 60

? = 6

hence 1 minute is 6 degrees

The formula to use to get the calculation is multiplying the number of minutes by 6

Number of degrees in 45 minutes = 45 * 6

Number of degrees in 45 minutes = 270 degrees

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The general solution to the differential equation dy/dx = 1/3(sin x − xy^2), y(0)=5 is: y = ±√[(sin x - e^(x/2)/25)/x], if sin x - xy^2 > 0 and y(0) = 5

To solve this differential equation, we can use separation of variables.

First, we can rearrange the equation to get dy/dx on one side and the rest on the other side:

dy/dx = 1/3(sin x − xy^2)

dy/(sin x - xy^2) = dx/3

Now we can integrate both sides:

∫dy/(sin x - xy^2) = ∫dx/3

To integrate the left side, we can use substitution. Let u = xy^2, then du/dx = y^2 + 2xy(dy/dx). Substituting these expressions into the left side gives:

∫dy/(sin x - xy^2) = ∫du/(sin x - u)

= -1/2∫d(cos x - u/sin x)

= -1/2 ln|sin x - xy^2| + C1

For the right side, we simply integrate with respect to x:

∫dx/3 = x/3 + C2

Putting these together, we get:

-1/2 ln|sin x - xy^2| = x/3 + C

To solve for y, we can exponentiate both sides:

|sin x - xy^2|^-1/2 = e^(2C/3 - x/3)

|sin x - xy^2| = 1/e^(2C/3 - x/3)

Since the absolute value of sin x - xy^2 can be either positive or negative, we need to consider both cases.

Case 1: sin x - xy^2 > 0

In this case, we have:

sin x - xy^2 = 1/e^(2C/3 - x/3)

Solving for y, we get:

y = ±√[(sin x - 1/e^(2C/3 - x/3))/x]

Note that the initial condition y(0) = 5 only applies to the positive square root. We can use this condition to solve for C:

y(0) = √(sin 0 - 1/e^(2C/3)) = √(0 - 1/e^(2C/3)) = 5

Squaring both sides and solving for C, we get:

C = 3/2 ln(1/25)

Putting this value of C back into the expression for y, we get:

y = √[(sin x - e^(x/2)/25)/x]

Case 2: sin x - xy^2 < 0

In this case, we have:

- sin x + xy^2 = 1/e^(2C/3 - x/3)

Solving for y, we get:

y = ±√[(e^(2C/3 - x/3) - sin x)/x]

Again, using the initial condition y(0) = 5 and solving for C, we get:

C = 3/2 ln(1/25) + 2/3 ln(5)

Putting this value of C back into the expression for y, we get:

y = -√[(e^(2/3 ln 5 - x/3) - sin x)/x]

So the general solution to the differential equation dy/dx = 1/3(sin x − xy^2), y(0)=5 is:

y = ±√[(sin x - e^(x/2)/25)/x], if sin x - xy^2 > 0 and y(0) = 5

y = -√[(e^(2/3 ln 5 - x/3) - sin x)/x], if sin x - xy^2 < 0 and y(0) = 5

Note that there is no solution for y when sin x - xy^2 = 0.

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f(4) = 3 and f'(4) = m, where m is the slope of the tangent line to the function f(x) at the point (4, 3).

Since the tangent line passes through (4, 3), we can use the point-slope form of a linear equation to determine the equation of the tangent line. Let the equation of the tangent line be y = mx + b, where m is the slope of the tangent line. We know that the slope of the tangent line is equal to the derivative of f(x) evaluated at x = 4, so m = f'(4).

Substituting the point (4, 3) into the equation of the tangent line, we get 3 = 4m + b.

Since the tangent line also passes through (0, 2), we can substitute these coordinates into the equation of the tangent line to get 2 = 0m + b.

From the above two equations, we can solve for b, which gives us b = 2.

Now we have the equation of the tangent line as y = mx + 2, and we know that it represents the function f(x) at the point (4, 3). Therefore, f(4) = 3.

Finally, we can determine f'(4) by substituting the value of m into the equation of the tangent line. So f'(4) = m.

In summary, f(4) = 3 and f'(4) = m, where m is the slope of the tangent line to the function f(x) at the point (4, 3).

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Ronald spent 50 minutes answering phone calls on Saturday morning. The equation used to find this value is x + 40 = 90.

Let's assume that Ronald spent "x" minutes answering phone calls. We know that he spent a total of 90 minutes volunteering, and 40 minutes delivering flowers. So the time he spent answering phone calls and delivering flowers can be expressed as:

x + 40

We also know that the total time he spent volunteering was 90 minutes. So we can write:

x + 40 = 90

To solve for "x", we can subtract 40 from both sides of the equation:

x + 40 - 40 = 90 - 40

Simplifying:

x = 50

where x represents the amount of time Ronald spent answering phone calls.

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Answer:

S.I = (P × R × T)/100

where;

P - principal

R - rate

T - time

After analysing the given data we conclude that the measure of <ABD is 117 degrees, under the condition that <ABC has a measure of 40°.

Now in order to evaluate the angle we have to relie on the principles of angle to derive a formula
The formula is
180 - ( remaining angles) = ( unknown angle)
Now, to find the measure of <ABD, we can apply the fact that the sum of the angles in a triangle is 180 degrees. It is known that <ABC has a measure of 40 degrees and <CBD has a measure of 23 degrees. Since <ABC and <CBD share a ray, we can add their measures to get the measure of <ABD.
Placing the values in the formula
Therefore,
<ABD = 180 - 40 - 23
= 117 degrees.
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The required solution of the linear programming problem for the given objective function and subject to constraints are,

Linear programming problem is Maximize 15x1 + 2x2

Subject to:

7x1 + x2 < 23

3x1 - x2 < 5

x1, x2 > 0

Objective function value for rounding up fraction 1/2 solution is 53

Objective function value for rounding up all fraction solution is 23.

Optimal objective function value 53 is lower than optimal value 95.5.

Optimal objective function value is always less than or equal to the LP's optimal objective function value as ILP problem is a more constrained version.

To solve the problem as an LP,

we can ignore the integer constraints

And solve the problem as a continuous linear program.

The problem can be written as,

Maximize 15x1 + 2x2

Subject to:

7x1 + x2 < 23

3x1 - x2 < 5

x1, x2 > 0

Rounding up fractions greater than or equal to 1/2,

The following feasible solution is,

x1 = 3, x2 = 4

The objective function value for this solution is 53.

However, this is not the optimal integer solution since both x1 and x2 are not integers.

Rounding down all fractions, we get the following feasible solution,

x1 = 1, x2 = 4

The objective function value for this solution is 23, which is less than the LP's optimal objective function value of 95.5.

This is not the optimal integer solution either.

Optimal objective function value for the ILP is lower than that for the optimal LP, solve the ILP problem.

In any one constraints

When x1 = 0 ⇒ x2 = 23

x2 = 0 ⇒ x1 = 3.3

Optimal value is ,

15(3.3) + 2(23)

= 49.5 + 46

= 95.5

Optimal objective function value is lower than optimal value.

The optimal objective function value for the ILP problem is always less than or equal to the corresponding LP's optimal objective function value .

Because the ILP problem is a more constrained version of the linear programming problem.

The ILP problem restricts the variables to be integers, which reduces the feasible region and makes the problem more difficult to solve.

The optimal objective function values for the LP and ILP problems are equal.

If the LP problem has an optimal solution that satisfies the integer constraints.

In general, the optimal objective function value of the MILP problem can be better or worse than that of the LP or ILP problem.

It depends on the specific problem instance.

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The above question is incomplete, the complete question is :

Given the following all-integer linear program:

Max 15x1 + 2x2

s. t.

7x1 + x2 < 23

3x1 - x2 < 5

x1, x2 > 0 and integer

a. solve the problem as an lp, ignoring the integer constraints.

b. what solution is obtained by rounding up fractions greater than or equal to 1/2? is this the optimal integer solution?

c. what solution is obtained by rounding down all fractions? is this the optimal integer solution? explain.

d. show that the optimal objective function value for the ilp (integer linear programming) is lower than that for the optimal lp.

e. why is the optimal objective function value for the ilp problem always less than or equal to the corresponding lp's optimal objective function value? when would they be equal? comment on the optimal objective function of the milp (mixed-integer linear programming) compared to the corresponding lp and ilp.

Answer:a,b,c

Step-by-step explanation:

The correct statement is option (B),(C) and (E).

It is required to choose the correct statement.

An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined.

Given:

Thomas to purchase some new clothes, including tax.

1.065(30+20x)

Where, x represents the number of shirts.

The correct statement is

B.) Each shirt costs $20.

20 is price of shirt before tax.

C.) The sales tax 6.5%

1.065  = 1 + 0.065   = 1 + 6.5 % of sales tax.

E.) The cost of a shirt with tax is $21.30

The cost of a shirt with tax  = 20  * 1.065  =  $21.30.

Therefore, the correct statement is option (B),(C) and (E).

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Answer:

m<2 = 27°

Step-by-step explanation:

m<1 = 63° (given)

m<QTR = m<1 (alternate interior angles are congruent)

m<QTR = 63° (Substitution)

m<QRT = 90° (right angle)

m<2 + m<QRT + m<QTR = 180°

m<2 + 90° + 63° = 180° (substitution)

m<2 + 153° = 180°

Subtract 153° from each side

m<2 = 180° - 153°

m<2 = 27°

Answer:

y=-3x+6

Step-by-step explanation:

3=-3*1+b

3=-3+b

b=6

y=-3x+6

-3*1 is -3+6 is 3