Value of x
Pls show steps

Answer:

B

Step-by-step explanation:

So a reflection over the x is a change in the y value.

Only point (2,0) is on the x-axis, so it will not move.

The value of the integral is 78/625.  To evaluate the integral ∫5 1 (ln(x))^2/x^3dx, we can use integration by parts. Let u = ln(x)^2 and dv = x^-3dx. Then, du/dx = 2ln(x)/x and v = -1/(2x^2). Using the formula for integration by parts, we have:

∫5 1 (ln(x))^2/x^3dx = [-ln(x)^2/(2x^2)]5^1 - ∫5 1 (-1/x^2) * [2ln(x)/x] dx

Simplifying the first term using the limits of integration, we get:

[-ln(1)^2/(21^2)] - [-ln(5)^2/(25^2)]

= -ln(25)/50

For the second term, we can simplify the expression inside the integral:

-2∫5 1 [(ln(x))/x^3] dx

We can use integration by parts again, with u = ln(x) and dv = x^-3dx. Then, du/dx = 1/x and v = -1/(2x^2), and we get:

-2∫5 1 [(ln(x))/x^3] dx = -2([-ln(x)/(2x^2))]5^1 + 2∫5 1 [1/(x^2*2x)] dx

Simplifying the first term using the limits of integration, we get:

[-ln(1)/(21^2)] - [-ln(5)/(25^2)]

= ln(25)/50

For the second term, we can simplify the expression inside the integral:

2∫5 1 [1/(x^3)] dx

Using the power rule for integration, we have:

2[-1/2x^2]5^1

= -2/25

Putting it all together, we get:

∫5 1 (ln(x))^2/x^3dx = -ln(25)/50 + ln(25)/50 - (-2/25)

= 78/625

Therefore, the value of the integral is 78/625.

Learn more about integral here:

https://brainly.com/question/31109342

#SPJ11

Answer

linear

nonproportional

Step-by-step explanation:

Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.

At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.

Answer:

linear

nonproportional

The divergence theorem states that the surface integral of the divergence of a vector field over a closed surface is equal to the triple integral of the divergence of the vector field over the volume enclosed by the surface

we are given the vector field F = (11x, 2y, \(z^{2}\)) and the surface S defined by the equation \(x^2 + y^2 + z^2\)= 1, which represents a unit sphere.

To evaluate the surface integral ∬S F · ds using the divergence theorem, we first need to calculate the divergence of the vector field F. The divergence of F, denoted as ∇ · F, is given by the sum of the partial derivatives of the components of F with respect to their corresponding variables. Therefore, ∇ · F = ∂(11x)/∂x + ∂(2y)/∂y + ∂(z^2)/∂z = 11 + 2 + 2z.

Applying the divergence theorem, the surface integral ∬S F · ds is equal to the triple integral ∭V (∇ · F) dV, where V represents the volume enclosed by the surface S.

Since the surface S is a unit sphere centered at the origin, the triple integral ∭V (∇ · F) dV can be evaluated by integrating over the volume of the sphere.

learn more about divergence theorem here:

https://brainly.com/question/10773892

#SPJ11

The area under the curve over [2,5] is 24.

Given function is f(x) = 2xIntervals [2, 5] is given and it is to be divided into subintervals.

Let us consider n subintervals. Therefore, width of each subinterval would be:

$$
\Delta x=\frac{b-a}{n}=\frac{5-2}{n}=\frac{3}{n}
$$Here, we are using right-hand end point. Therefore, the right-hand end points would be:$${ c }_{ k }=a+k\Delta x=2+k\cdot\frac{3}{n}=2+\frac{3k}{n}$$$$
\begin{aligned}
\therefore R &= \sum _{ k=1 }^{ n }{ f\left( { c }_{ k } \right) \Delta x } \\&=\sum _{ k=1 }^{ n }{ f\left( 2+\frac{3k}{n} \right) \cdot \frac{3}{n} }\\&=\sum _{ k=1 }^{ n }{ 2\cdot\left( 2+\frac{3k}{n} \right) \cdot \frac{3}{n} }\\&=\sum _{ k=1 }^{ n }{ \frac{12}{n}\cdot\left( 2+\frac{3k}{n} \right) }\\&=\sum _{ k=1 }^{ n }{ \frac{24}{n}+\frac{36k}{n^{ 2 }} }\\&=\frac{24}{n}\sum _{ k=1 }^{ n }{ 1 } +\frac{36}{n^{ 2 }}\sum _{ k=1 }^{ n }{ k } \\&= \frac{24n}{n}+\frac{36}{n^{ 2 }}\cdot\frac{n\left( n+1 \right)}{2}\\&= 24 + \frac{18\left( n+1 \right)}{n}
\end{aligned}
$$Take limit as n → ∞, so that $$
\begin{aligned}
A&=\lim _{ n\rightarrow \infty  }{ R } \\&= \lim _{ n\rightarrow \infty  }{ 24 + \frac{18\left( n+1 \right)}{n} } \\&= \boxed{24}
\end{aligned}
$$

To know more about area :

https://brainly.com/question/30307509

#SPJ11

Given function f(x) = 2x. The interval is [2,5]. The number of subintervals, n is 3.

Therefore, the area under the curve over [2,5] is 21.

From the given data, we can see that the width of the interval is:

Δx = (5 - 2) / n

= 3/n

The endpoints of the subintervals are:

[2, 2 + Δx], [2 + Δx, 2 + 2Δx], [2 + 2Δx, 5]

Thus, the right endpoints of the subintervals are: 2 + Δx, 2 + 2Δx, 5

The formula for the Riemann sum is:

S = f(c1)Δx + f(c2)Δx + ... + f(cn)Δx

Here, we have to find a formula for the Riemann sum obtained by dividing the interval [2.5] subintervals and using the right hand endpoint for each ck. The width of each subinterval is:

Δx = (5 - 2) / n

= 3/n

Therefore,

Δx = 3/3

= 1

So, the subintervals are: [2, 3], [3, 4], [4, 5]

The right endpoints are:3, 4, 5. The formula for the Riemann sum is:

S = f(c1)Δx + f(c2)Δx + ... + f(cn)Δx

Here, Δx is 1, f(x) is 2x

∴ f(c1) = 2(3)

= 6,

f(c2) = 2(4)

= 8, and

f(c3) = 2(5)

= 10

∴ S = f(c1)Δx + f(c2)Δx + f(c3)Δx

= 6(1) + 8(1) + 10(1)

= 6 + 8 + 10

= 24

Therefore, the Riemann sum is 24.

To calculate the area under the curve over [2, 5], we take the limit of the Riemann sum as n → ∞.

∴ Area = ∫2^5f(x)dx

= ∫2^52xdx

= [x^2]2^5

= 25 - 4

= 21

Therefore, the area under the curve over [2,5] is 21.

To know more about Riemann sum visit

https://brainly.com/question/31737945

#SPJ11

Answer:

9

Step-by-step explanation:

The probability that the life span of a randomly selected monitor will be more than 16,600 hours is 0.9192 or 91.92% (rounded to four decimal places).

We can standardize the value of 16,600 hours to a z-score by using the formula

z = (x - mu) / sigma

where x is the value we want to find the probability for, mu is the mean life span, and sigma is the standard deviation (the square root of the variance).

Substituting the given values, we get

z = (16600 - 18000) / sqrt(1000000) = -1.4

Using a standard normal distribution table or calculator, we can find the probability that the life span of a randomly selected monitor will be more than 16,600 hours by looking up the area to the right of the z-score of -1.4.

The area to the right of -1.4 is approximately 0.9192.

Therefore, the probability that the life span will be more than 16,600 hours is 0.9192 or 91.92% (rounded to four decimal places).

To know more about Probability:

https://brainly.com/question/11234923

#SPJ4

Answer: 42.5

Step-by-step explanation:

3.5x9 = 31.5

2x2 divided by 2 for the first triangle which is 2

2x2 for square in the middle which is 4

2x5 divided by 2 for the other triangle which is 5

all together is 42.5

Answer:

I really don't know , I am in 7th grade

Answer:

x = 121°

Step-by-step explanation:

The lower left vertex and 115 are adjacent and supplementary, thus

left vertex = 180° - 115° = 65°

The angle round a point = 360°, so the top vertex is

360° - 304° = 56°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle, thus

x = 65° + 56° = 121°

The equation has one solution.

The problem has no solution. Considering that the value of x cannot possibly trend to infinity. Any two values of x are acceptable, but they are never true rests when compared to infinity.

As you analyze the potential response,

If, x-8=8-x

2x=16

x=8

Accordingly the condition has one arrangement.

The worth 8 makes the condition 8 of x valid, when subbed into the situation,

16=16 or 8=8

Accordingly 5 makes the worth of x that makes the condition bogus,

Presently when subbed into the situation and the condition transforms into 5=8.

To learn more about, one solutions, no solutions, or an

infinite number of solutions refer the link:

https://brainly.com/question/17511140

#SPJ9

Answer:

number 1 matches 8/12, number 2 matches 11/12, number 3 matches 12/24, number 4 matches 11/24, number 5 matches 10/12

Step-by-step explanation:

find the minimum common multiple and then add the top numbers and keep the denominator (bottom number) the same.

The following are the zeros for the function h (x) = x2 + 3x - 8: - x= -4 and x=2.

Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where xX and yY with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y.

The function's zero is a value of x that makes it equal to zero. In other words, the equation f(x) = 0 leads to a zero.

By putting h(x) equal to zero and figuring out x, we may determine the zeroes for the function h(x) = x2 + 3x - 8.

h(x) = x² + 3x - 8 = 0

We may factor the left side of the equation to find x:

x² + 3x - 8 = (x-2)(x+4) = 0

We set each factor to zero and solve for x to discover the zeroes:

x-2 = 0 or x+4 = 0

x = 2 or x = -4

Consequently, the function's zeros are x = 2 and x = -4.

So, A is the right response. x = -4 and x = 2

To know more about functions visit:

https://brainly.com/question/29120892

#SPJ1

The complete question is

What are the zeros of the function h (x) = x² + 3x - 8?

A. x = -4 and x = -2

B. x= -8 and x = 2

C. x = -2 and x = 8

D. x = 2 and x = 8

Answer:

She can swin 3.6 km in 1 hour using freestyle.

Step-by-step explanation:

If she can swin 0.3 kilometers in 10 minutes or 1/6 hours using backstroke, then her speed on that style is:

\(v_{backstroke} = \frac{0.3}{\frac{1}{6}} = 0.3*6 = 1.8 \text{ } \frac{\text{km}}{\text{h}}\)

If she can swim twice the distance in the same time for freestyle, then her speed on that is twice the one in backstroke. Therefore, her speed on freestyle is:

\(v_{freestyle} = 2*v_{backstroke} = 2*1.8 = 3.6 \text{ } \frac{\text{km}}{\text{h}}\)

Since her speed in freestyle is 3.6 km per hour, this means that she can swim a total of 3.6 km in one hour.

Answer:

(2,0)

Step-by-step explanation:

I think that the answer

Answer:

No, he is incorrect because a pattern is not a repeating decimal.

Answer:

A

Step-by-step explanation:

Answer:

The correct answer is A: Joaquin won because the median of his scores is 73.5 and the median of Trisha’s scores is 83.

Step-by-step explanation:

did the test on edge and got it correct!

Hope this helps! Have a great day!

Answer:

Start with equation,

         y''(x) = f(x) = 6y/(10x-x²)               about point x₀ = 5

Then,

       y(x) = a₀ + a₁(x-5) + a₂(x-5)²+ a₃(x-5)³ + a₄(x-5)⁴...….

by inspection,

           y(5) = a₀      and       y'(5) = a₁

then,

y''(5) = 6a₀/(50-25) = 6a₀/25              

y'''(x) = 6y'/(10x-x2) - 6y(10-2x)/(10x-x2)2

then,                      

                              y'''(5) = 6a₁/25 - 0 = 6a₁/25                

y''''(x) = 6y''/(10x-x2) -12y'(10-2x)/(10x-x2)² + 12y/(10x-x2)² + 12y(10-2x)2/(10x-x2)³

then,

    y''''(5) = (6/25)(6a₀/25) + 0 + 12a₀/625 + 0

              = 48a₀/625

So,

y(x) = f(x) = f(5) + f'(5)(x-5) + f''(5)(x-5)2/2! + f'''(5)(x-5)3/3! + f''''(5)(x-5)4/4! …

                                                       or

y(x) = f(x) = a₀ + a₁(x-5) + (6ao/25)(x-5)2/2! + (6a1/25)(x-5)3/3! + (48a₀/625)(x-5)4/4!...

                                                         or

y(x) = f(x) = a₀ + a₁(x-5) + (3a₀/25)(x-5)²+ (a₁/25)(x-5)³+ (2a₀/625)(x-5)⁴.....

Learn more about equation here-

https://brainly.com/question/3391581

#SPJ4

Answer: 3600

Step-by-step explanation:

Area of a square = side^2

Area = √2500 = 50

If side is increased by 10, length if side becomes 60 inches

Area = 60^2

Area = 3600 sq. in.

Answer:

1,000,000,000

Step-by-step explanation:

Explanation

To solve the question, we will be aware that

There are 3 hours between 6PM and 9PM ,

The main pump's emptying rate is 1/4 tanker per hour. It will be open

the entire 3 hours, so it will empty 3/4 of the tank.

this means that the auxiliary pump must empty the remaining 1/4

Thus

Thus, we will have

Therefore

The auxiliary pump should start by 6pm + 45 minutes = 6:45pm

5 rules of scientific notation which helps us to represent the numbers which are very huge or very tiny in a form of multiplication of single-digit numbers and 10 raised to the power of the respective exponent.

The exponent is either positive or negative depending on how big or little the number is. Learn about power and exponents to have a deeper understanding. The five golden rules of the scientific notation:

Hence there are the rules of the the scientific notation.

Learn more about Scientific rules:

https://brainly.com/question/5336987

#SPJ4

Answer:

Step-by-step explanation:

14 by 21. 14 shorter length

The solution to the inequality -2x + 4 < 16 is x > -6.

To solve the inequality -2x + 4 < 16, you can follow these steps:

Start by isolating the variable term. In this case, the variable term is -2x. Move the constant term, which is +4, to the other side of the inequality by subtracting 4 from both sides:

-2x + 4 - 4 < 16 - 4

-2x < 12

Next, divide both sides of the inequality by the coefficient of x, which is -2. It's important to note that when you divide or multiply an inequality by a negative number, you need to reverse the direction of the inequality sign:

(-2x) / -2 > 12 / -2

x > -6

The solution to the inequality is x > -6. This means that any value of x greater than -6 would satisfy the original inequality. Graphically, this represents all the numbers to the right of -6 on the number line.

So, the solution to the inequality -2x + 4 < 16 is x > -6.

For more such questions on inequality , Visit:

https://brainly.com/question/24372553

#SPJ11

The value of p-hat (the sample proportion) is 0.24, or 24% if total number of skittles in a sample is 300 out of which 72 skittles are purple.

The sample proportion, denoted by p-hat, is the proportion of purple skittles in the sample. We can calculate p-hat by dividing the number of purple skittles by the total number of skittles in the sample

p-hat = number of purple skittles / total number of skittles in sample

In this case, we have

Number of purple skittles = 72

Total number of skittles in sample = 300

Therefore,

p-hat = 72/300 = 0.24

To know more about sample proportion here

https://brainly.com/question/29893420

#SPJ4

Answer:

63 mins

Step-by-step explanation:

84 mins ÷ 8 miles = 10.5 mins per mile

6 miles × 10.5 mins = 63 mins

What is a Matrix?

A collection of numbers lined up in rows and columns to form a rectangular array is called a matrix. The elements, or entries, of the matrix are the integers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics. In computer graphics, where they have been used to describe picture rotations and other transformations, matrices have vital applications as well.

A)

\(\left[\begin{array}{cccc}$3.15& $3.79& $2.99&$3.49 \\$2.99& $2.89& $2.79 &$3.29\\ $3.74 &$2.98& $2.89& $2.99\end{array}\right]_{3 x 4}\)

B)

\(\left[\begin{array}{c}5*5\\4*5\\5*1\\4*5\end{array}\right]_{4x1}\)

C)

A x B = C

\(\left[\begin{array}{cccc}$3.15& $3.79& $2.99&$3.49 \\$2.99& $2.89& $2.79 &$3.29\\ $3.74 &$2.98& $2.89& $2.99\end{array}\right]_{3 x 4}\)  X    \(\left[\begin{array}{c}5*5\\4*5\\5*1\\4*5\end{array}\right]_{4x1}\)

=

\(\left[\begin{array}{c}183.46\\159.66\\179.51\end{array}\right]_{3x1}\)

Learn more about Matrix from the link below

https://brainly.com/question/28180105

#SPJ4

The -1 part is not inside the natural log.

==============================================

Work Shown:

1 + 2*e^(x+1) = 9

2*e^(x+1) = 9-1

2*e^(x+1) = 8

e^(x+1) = 8/2

e^(x+1) = 4

x+1 = Ln(4)

x = Ln(4) - 1

The line that is perpendicular to the equation of a line given is y = -2x + 3

The equation of a perpendicular line can be found using the slope of the line first and then applying the points through which the line passes through.

For the given question, the equation of the line is y = 1/2x + 11 and the point is (6, -9).

To find an equation of a line;

The equation of the line can be modified into y - y₁ = m(x - x₁)

substituting the values into the equation above gives y = -2x + 3

Learn more on the equation of line here;

https://brainly.com/question/13763238

#SPJ1