What is the general solution to the differential equation dy over dx equals x times y plus 2 times x

Answer:

2.74

Step-by-step explanation:

Answer: 2.74

Step-by-step explanation: When it says 1/5 of this number, you just divide it by the denominator (5) So, 13.7 / 5 = 2.74. To check, we multiply 2.74 by the denominator. (5) We get 13.7. This makes the statement true. I hope this helped!

Answer:

Maria chose C. 2682

Step-by-step explanation:

Answer:

$15

Step-by-step explanation:

Answer:

I can help but I need better pic

Answer:

C

Step-by-step explanation:

Substitute the given values into the expression

\(\frac{v}{2}\) + (\(\frac{3}{4}\) - w )

= \(\frac{1}{2}\) + (\(\frac{3}{4}\) - \(\frac{5}{8}\) ) ← evaluate parenthesis

= \(\frac{1}{2}\) + (\(\frac{6}{8}\) - \(\frac{5}{8}\) )

= \(\frac{1}{2}\) + \(\frac{1}{8}\)

= \(\frac{4}{8}\) + \(\frac{1}{8}\)

= \(\frac{5}{8}\)

Answer:

3N

Step-by-step explanation:

The graph states that the forces are acting in opposite directions, so subtract the value of the smaller force from the larger to find net force.

Hope this helps!

Total fixed cost is $6. The value of AFC is $6 / Q. Productive efficiency is greatest at Q = 4.5. Diminishing returns begin when Q = 3. The total fixed cost (TFC) does not change because it is fixed.

a) Total fixed cost is $6

b) We can obtain the average fixed cost function (AFC) from the total fixed cost (TFC) by dividing it by output (Q) as follows: AFC = TFC / Q. So, the value of AFC is $6 / Q.

c) The AVC function is calculated by dividing total variable cost (TVC) by output (Q).

STC = TFC + TVC6 + 9Q - 3Q2 + (1/3)Q3TVC = 9Q - 3Q2 + (1/3)Q3AVC = TVC / QAVC = (9Q - 3Q2 + (1/3)Q3) / QAVC = 9 - 3Q + (1/3)Q2

d) The MC function is derived by taking the first derivative of the STC function with respect to output (Q). The derivative of the STC function is: MC = dSTC / dQMC = 9 - 6Q + Q2

e) As Q approaches infinity, the denominator of AFC becomes larger and larger. So, AFC approaches zero as Q gets very large. This implies that fixed costs per unit decrease as production quantities get larger.

f) We can find the value of Q at which AVC is a minimum by taking the first derivative of the AVC function and setting it equal to zero. The first derivative of AVC is: AVC = 9 - 3Q + (1/3)Q2

dAVC / dQ = -3 + (2/3)Q= 0

Q = 4.5

g) Productive efficiency is greatest when AVC is at its minimum. Therefore, productive efficiency is greatest at Q = 4.5.

h) We can demonstrate that the value of SMC equals the value of AVC at the value of Q where AVC is a minimum by plugging Q = 4.5 into both the AVC and MC functions. AVC = 9 - 3(4.5) + (1/3)(4.5)2AVC = 7.125MC = 9 - 6(4.5) + 4.52MC = 7.125

Since SMC = MC, we can conclude that SMC equals AVC at the value of Q where AVC is a minimum.

i) In the short run, the total fixed cost (TFC) does not change because it is fixed. Therefore, the derivative of the STC function with respect to output (Q) is equal to the derivative of the TVC function with respect to output (Q). This means that dSTC / dQ = dTVC / dQ.

j) Increasing returns to scale cease when the marginal cost (MC) is equal to average total cost (ATC). Diminishing returns to scale begins when MC exceeds ATC. ATC is calculated by dividing the total cost (TC) by output (Q). TC is calculated by adding total fixed cost (TFC) and total variable cost (TVC).

ATC = TC / QATC = (6 + 9Q - 3Q2 + (1/3)Q3) / Q

Now, we can find the level of Q where increasing returns to scale cease by calculating the first derivative of ATC and setting it equal to zero.

ATC = (6 + 9Q - 3Q2 + (1/3)Q3) / QdATC / dQ = (6 - 6Q + Q2) / Q2= 0

Q = 3

Now, we can calculate the marginal cost function and find the level of Q where diminishing returns begins. We know that diminishing returns begin where the marginal cost is at its minimum.

MC = 9 - 6Q + Q2MC = 9 - 6(3) + 32MC = 3

So, diminishing returns begin when Q = 3.

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Answer:

x=16

Step-by-step explanation:

You multiply 4 by 4 because when you multiply 3by 4 you get 12, when you multiply 5by 4 you get twenty and since they are similar triangles you have to multiply 4 by 4

Answer:

C

Step-by-step explanation:

C is not true

Answer:

Step-by-step explanation:

The Probability of Landing a heads is (1/2)

Now, to find the probability of landing it five times in a row, it is

1/2 x 1/2 x 1/2 x 1/2 x 1/2

( 1/2 is multiplied to the number of times to get a head )

The final answer will be,

Probability of landing heads 5 times in a row = 1/32

The amount of earned income the Salazars can report for EITC purposes in 2021 is $21,000.

The maximum amount of earned income the Salazars can report for EITC purposes in 2021 is $21,000. This is calculated by adding Braden's nontaxable combat pay ($14,000) and his wife's earned income ($7,000).

Formula:

Maximum Earned Income for EITC = Braden's Nontaxable Combat Pay + Wife's Earned Income

Maximum Earned Income for EITC = $14,000 + $7,000

Maximum Earned Income for EITC = $21,000

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The experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is approximately 0.263

The experimental probability is found by dividing the number of times the desired outcome occurred by the total number of trials. In this case, the desired outcome is selling a slice of pepperoni pizza as the first slice tomorrow.

Since we only know the number of slices sold today, we don't have any specific information about the number of slices that will be sold tomorrow. However, we can assume that the same types of pizzas will be sold tomorrow, and the probability of selling a slice of pepperoni pizza tomorrow will be the same as the proportion of pepperoni slices sold today.

So, the experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is

Experimental probability = Number of pepperoni slices sold today / Total number of slices sold today

Experimental probability = 20 / 76

Experimental probability = 0.263

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Answer:

a, b and c are not polynomial

and d I'd correct

2x² - 5x = x² -2x +1

Answer: 30%

Step-by-step explanation:

20-14=6

this is the amount reduced

6/20 multiply this by 100, which is 600/20, which equals 30%

Hope this helps!

A set of transformations that would map red triangle to the blue triangle is rotate 90° clockwise and then translate 6 units down (option a).

Let us consider two triangles, A and B. We are given four transformations, and we need to determine which one maps triangle A to triangle B. To do this, we need to understand the effect of each transformation on the position, orientation, or size of the triangle.

Transformation A involves rotating triangle A by 90 degrees clockwise and then translating it 6 units down.

A rotation is a transformation that preserves the shape and size of a triangle but changes its orientation. In this case, the rotation is 90 degrees clockwise, which means that each vertex of triangle A is rotated 90 degrees in a clockwise direction about the origin.

After the rotation, the triangle is translated 6 units down, which means that each vertex is shifted 6 units downward. If we apply transformation A to triangle A, we obtain a new triangle that has the same shape and size as triangle A, but its position and orientation are different.

This new triangle is similar to triangle B if its corresponding angles are congruent and its corresponding sides are proportional.

Hence the correct option is (a).

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Complete Question:

Describe the transformations that will map triangle A to triangle B and illustrate the similarity between the two triangles.

A) rotate 90° clockwise and then translate 6 units down

B) translate 4 units down and rotate 180° about the origin

C) reflect the triangle across the y-axis and translate 4 units down

D) reflect triangle A across the x-axis and then translate 1 unit right

Answer:116

angles in a triangle is 180.

Answer:

1=116

2=32

Thank You

The required slope of the tangent line to f(x) = 6 sin(x) at x = π/6 is 3 √3.

The value of the steepness or the direction of a line in a coordinate plane is known as the slope of a line, often known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope can be determined using a variety of techniques.

The formula for slope between two points (x₁, y₁) and (x₂, y₂) is,

m = (y₂ - y₁)/(x₂ - x₁)

The slope is also denoted by tan θ.

The given equation of line,

f(x) = 6 sin(x)

To find the slope of the given line, differentiate with respect to x,

f'(x) = tan θ = d/dx(6 sin(x))

                  = 6 d/dx(sin(x))

                  = 6 cos x

At x = π/6, the slope of line,

f'(π/6) = 6 cos(π/6)

          = 6 (√3 / 2)

          = 3 √3

The slope of the tangent line to f(x) = 6 sin(x) is 3 √3.

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Answers

yes it ia

Step-by-step explanation:

ε = 1/2 is fixed, we have |fn(x) − f(x)| ≥ ε for all n ≥ N and for some x in [0,1].Therefore, (fn) does not converge uniformly to f(x) on [0,1] using epsilon criteria.

Given that fn: [0, 1] → R is given by fn(x) = x and you have already proved that (fn) converges point-wise to f(x) = 0 when 0 ≤ x < 1 and f(x) = 1 if x = 1.

Now, to prove that (fn) does not converge uniformly using epsilon criteria, we need to negate the definition of uniform convergence. Definition: (fn) converges uniformly to f(x) on [0,1] if, for any ε > 0, there exists a natural number N such that |fn(x) − f(x)| < ε for all n ≥ N and for all x in [0,1].

Negation of Definition: (fn) does not converge uniformly to f(x) on [0,1] if, there exists an ε > 0 such that, for all natural numbers N, there exists an n ≥ N and x in [0,1] such that |fn(x) − f(x)| ≥ ε. Let ε = 1/2 and let N be a natural number. Consider x = min{1, 2/N}. Since N is a natural number, 2/N ≤ 1. So x = 2/N and x is an element of [0,1]. Also, fn(x) = x for all n. Thus, |fn(x) − f(x)| = |x − 0| = x. Note that x can be made arbitrarily small by choosing N large enough.

Since ε = 1/2 is fixed, we have |fn(x) − f(x)| ≥ ε for all n ≥ N and for some x in [0,1].Therefore, (fn) does not converge uniformly to f(x) on [0,1] using epsilon criteria.

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We have proved that the sequence (fn) does not converge uniformly.

Given that for any natural number N, for all n ≥ N, then |fn(x) - f(x)| < ε for all x in [0,1] and ε > 0.

Let us prove that the sequence (fn) does not converge uniformly.

Let ε = 1/2.

Take any natural number N.

Choose n ≥ N. Consider |fn(1) - f(1)| = |1 - 1| = 0. It is less than ε = 1/2.

Hence, the sequence (fn) is pointwise convergent to the function f(x) = 0 when 0 ≤ x < 1 and f(1) = 1.

Take ε = 1/4. Choose any natural number N.

Then choose n ≥ N.

Consider |fn(1 - 1/n) - f(1 - 1/n)| = |(1 - 1/n) - 0|

= 1 - 1/n.

It is greater than ε = 1/4.

Thus, the sequence (fn) is not uniformly convergent on [0,1].

Therefore, we have proved that the sequence (fn) does not converge uniformly.

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The equation that describes the relationship between the time a zebra runs at a speed and the distance it covers is y = 2/3(x).

A linear equation is an algebraic equation of the form y=mx+b. where m is the slope and b is the y-intercept.

Assuming that the relationship between the time a zebra runs at a speed and the distance it covers is a linear one, we can use the formula for the equation of a straight line:

y = mx + b

where y is the distance covered, x is the time the zebra runs at a speed, m is the slope (i.e., the speed of the zebra), and b is the y-intercept (i.e., the distance covered when the zebra is not running).

From the table two points can be formed as (x, y) that are, (3, 2) and (6, 4)

Using these two points, we can find the slope of the line:

m = (y₂ - y₁)/(x₂ - x₁)

 = (4 - 2)/(6 - 3)

 = 2/3

Now as we have the slope m we can use it in point slope form, i.e.

y - y₁ = m(x - x₁)

Using the point (3, 2),

y - 2 = 2/3(x - 3)

y - 2 = 2/3(x) - 2

y  = 2/3(x) - 2 + 2

y  = 2/3(x)

Hence, the equation that describes the relationship between the time a zebra runs at maximum speed and the distance it covers is:

y  = 2/3(x)

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Complete question:

The relationship between the amount of time a zebra run at maximum speed in the distance it covers is shown.

Write an equation to describe this relationship.

1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

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Answer:

P = a + b + c + d

Step-by-step explanation:

Remember that perimeter is the measure of the outer edge of a shape, or otherwise, the sum of the measures of the sides of the trapezoid. Representing the perimeter by P, and the sides as a, b, c and d, our formula is P = a + b + c + d.

Answer:

Length of DE = 7.5 units

Length of DB = 9.2 units

Measure of ∠FED = 82°

Step-by-step explanation:

In ΔABC,

AD ≅ BD and CE ≅ BE [Given]

By the theorem of mid-segments,

DE = \(\frac{1}{2}(AC)\)

     = \(\frac{1}{2}(15)\)

DE = 7.5 units

Since AD ≅ FE ≅ 9.2 [By midpoint theorem in ΔACB]

Therefore, length of DB = 9.2 units

[Although it's not given in the question, but we assume FE║AB]

Since FE║AB and DE is a transverse,

Therefore, m(∠FED) ≅ m(∠BDE) ≅ 82° [Interior alternate angles]

Answer:

3/6

Step-by-step explanation:

Simple-

One di has 6 sides.

Three sides are even numbers

We are looking for the probability of not having and odd number chosen

It would be 3/6 because there are 3 even numbers and 3 odd numbers, and we are using even numbers because we need to know the probability of not landing on an odd number.

Hope this helps!!!!

:)

To substitute the Maclaurin series for the trig and inverse trig functions. The Maclaurin series for tangent inverse is:
tan^−1(x) = x - x^3/3 + x^5/5 - x^7/7 + ...

Similarly, the Maclaurin series for cosine is:
cos(x) = 1 - x^2/2 + x^4/24 - x^6/720 + ...
Substituting these series into the limit expression, we get:
lim x → 0 [tan^−1(4x) - 4xcos(4x) - 32/3(x^3)]/ (x^5)
= lim x → 0 [(4x - (4x)^3/3 + (4x)^5/5 - (4x)^7/7 + ...) - 4x(1 - (4x)^2/2 + (4x)^4/24 - (4x)^6/720 + ...) - 32/3(x^3)]/ (x^5)
= lim x → 0 [-32/3 + 128x^2/15 - ...]/ x^2
= -32/3

Therefore, the limit by substituting the Maclaurin series for the trig and inverse trig functions is -32/3.

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Answer:

Total number of fan = 80,495

Step-by-step explanation:

Given:

Number of fans attended = 77,098

Additional number of fans attended = 3,397

Find:

Total number of fan

Computation:

Total number of fan = Number of fans attended + Additional number of fans attended

Total number of fan = 77,098 + 3,397

Total number of fan = 80,495

Answer:associative property?

Step-by-step explanation: because you adding

Answer:

The answer is D) x+7

Step-by-step explanation:

First you have to find multiples of 84 and see if they add up to equal 19.

Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

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Answer:

98-48=50 so the answer is 50