- 1 = 5 + x/6 Solve for the variable.

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

This is our second approximation, x2 = -1/2. Our third approximation is x3 = 7/4. This can be answered by the concept of differentiation.

To use Newton's method to approximate a root of the equation z² + 2 = 0, we start with an initial approximation of i = -1.

The formula for Newton's method is:

x_(n+1) = x_n - f(x_n)/f'(x_n)

where x_n is the nth approximation, f(x_n) is the function evaluated at x_n, and f'(x_n) is the derivative of the function evaluated at x_n.

For our equation, f(z) = z² + 2, so f'(z) = 2z.

Using the initial approximation of i = -1, we have:

x_1 = -1 - (-1² + 2)/(2(-1)) = -1 - (-1)/(-2) = -1 + 1/2 = -1/2

This is our second approximation, x2 = -1/2.

To find the third approximation, we use x_2 as our new initial approximation:

x_3 = -1/2 - ((-1/2)² + 2)/(2(-1/2)) = -1/2 - (1/4 + 2)/(-1) = -1/2 + 9/4 = 7/4

Therefore, our third approximation is x3 = 7/4.

To learn more about differentiation here:

brainly.com/question/31495179#

#SPJ11

Answer:

The triangle has three acute angles, so it is an acute triangle. The triangle has two congruent sides, so, it is an isosceles triangle. It is an acute isosceles triangle.

Step-by-step explanation:

To find the variance of 7X - 5Y, we need to first find the variance of 7X and 5Y separately, and then subtract twice the covariance of X and Y (since we are given the covariance, not the correlation coefficient). The variance of 7X - 5Y is 1024.

Var[7X] = 49Var[X] = 49(16) = 784
Var[5Y] = 25Var[Y] = 25(4) = 100
Cov[X,Y] = 2

Now, using the formula for variance of a linear combination of two random variables:

Var[7X - 5Y] = Var[7X] + Var[5Y] - 2Cov[X,Y]
            = 784 + 100 - 2(2)
            = 880

Therefore, the variance of 7X - 5Y is approximately 880 (rounded to the nearest whole number).

Suppose the population standard deviation of X is 4 and the population standard deviation of Y is 2, and the covariance of X and Y is 2. To find the variance of 7X - 5Y, we use the formula Var[aX ± bY] = a²Var[X] + b²Var[Y] ± 2abCov[X,Y]. In this case, a = 7, b = -5, Var[X] = 4², Var[Y] = 2², and Cov[X,Y] = 2.

Var[7X - 5Y] = 7²(4²) + (-5)²(2²) - 2(7)(-5)(2)
Var[7X - 5Y] = 49(16) + 25(4) + 140
Var[7X - 5Y] = 784 + 100 + 140
Var[7X - 5Y] = 1024

So the variance of 7X - 5Y is 1024.

Learn more about variance at: brainly.com/question/14116780

#SPJ11

The average speed Mr and Mrs Ozawa should drive is 62 miles per hour.

The average speed is calculated for a period of time while instantaneous speed is calculated at certain instant of time.

For instantaneous speed and average speed are equal for an object moving with constant speed.

The total distance travelled is given as 496 miles.

And, the total time taken is 8 hours.

Average speed can be calculated by taking the ratio of total distance and time as follows,

Total distance ÷ Total time

⇒ 496 ÷ 8

⇒ 62

Hence, the average speed is given as 496 miles per hour.

To know more about speed click on,

https://brainly.com/question/28224010

#SPJ5

Answer:

Y = 10 I believe

Step-by-step explanation:

To solve this we need to find what number, times 6, equals 18 - it's fairly easy to find the answer is three.

So what, minus seven, equals 3?

Answer:

Step-by-step explanation:

a) -3x+5 = 5x-12

-> -3x-5x=12-5

-> -8x=7

-> x=-7/

Answer:

a)x=17/8

b)x=23

c)x=-28/11

Step-by-step explanation:

a) -3x+5=5x-12

-3x-5x=-12-5

-8x=-17

x=17/8

b) 6(x-3)-4(x+2)=20

6x-18-4x-8=20

6x-4x-18-8=20

2x-26=20

2x=20+26

2x=46

x=23

c) -2/5(x+3)=1/3(x-2)

15[-2/5(x+3)]=15[1/3(x-2)]

-6(x+3)=5(x-2)

-6x-18=5x-10

-6x-5x=-10+18

-11x=28

x=-28/11

Answer:

1: 130

2: 70

Step-by-step explanation:

Supplementary angles add up to equal 180

So to find the measure of the missing angles, we subtract the measure of the known angles from 180

For #1

∠B = 180 - 50

180 - 50 = 130

Hence ∠B = 130

For#2

∠D = 180 - 110

180 - 110 = 70  

Hence, ∠D = 70

Answer:

eight to the power of 4 would be 8x8x8x8, 9 cubed would be 9x9x9 and 9^3, 17x17x17, 21x21x21x21x21 and 21^5, 7^2, 11x11x11x11

Step-by-step explanation:

Answer:

0.91

30.4

850

Step-by-step explanation:

The series ∑[(k² + 2)/(k³ - 7)] diverges using the limit comparison test and the series ∑(1/k) is a well-known harmonic series.

To determine the convergence of the series ∑[(k² + 2)/(k³ - 7)], we can use the limit comparison test. Let's compare it with the series ∑(1/k).

First, we need to find the limit of the ratio of the terms of the two series as k approaches infinity:

lim(k→∞) [(k² + 2)/(k³ - 7)] / (1/k)

Simplifying the expression, we get:

lim(k→∞) [(k² + 2)/(k³ - 7)] × (k/1)

Taking the limit as k approaches infinity, we have:

lim(k→∞) [(k² + 2)/(k³ - 7)] × (k/1) = 1

Since the limit is a finite positive value (1), we can conclude that the given series ∑[(k² + 2)/(k³ - 7)] and the series ∑(1/k) have the same convergence behavior.

The series ∑(1/k) is a well-known harmonic series, which diverges. Therefore, by the limit comparison test, the given series ∑[(k² + 2)/(k³ - 7)] also diverges.

Learn more about limit comparison tests at

https://brainly.com/question/31362838

#SPJ4

The question is -

Use the limit comparison test to determine whether the series converges. k² + 2/ k³ - 7

Therefore, the correct answer is B) The series diverges, and the terms of the series have limit o.

The integral test is a powerful tool used to determine whether an infinite series converges or diverges. The integral test states that if an infinite series has a non-negative and decreasing term, then the series is convergent if and only if the corresponding integral is convergent. In the case of the series ∑n=2[infinity]1nlnn, we can apply the integral test by considering the function f(x) = 1/xlnx. This function is decreasing and positive for all x > 2. Therefore, we can integrate f(x) from 2 to infinity to obtain the integral ∫2[infinity]1/xlnx dx. Evaluating this integral, we get ln(lnx)|2[infinity], which diverges. Since the integral diverges, we can conclude that the series ∑n=2[infinity]1nlnn also diverges.

To know more about infinite visit:

https://brainly.com/question/30790637

#SPJ11

Answer:

buy a total of 800 yds

Step-by-step explanation:

I believe that the best option for the designer would be to buy a total of 800 yds of the fabric. This is assuming that the designer needs 400 yd for a specific item. Therefore, buying 800yds would allow her to make two entire items while also meeting the minimum that the Manufacterer requires for the purchase. This would cost more but would also efficiently put to use all of the fabric that is bought for the items. Therefore, making it the best option.

Each machine will print 760 pages

What is arithmetic ?

Arithmetic is an elementary part of mathematics that consists of the study of the parcels of the traditional operations on figures addition, deduction, multiplication, division, exponentiation, and birth of roots.

Main body:

As there are total 6 printing machines

but one of the machines is out of order

which means left working machines = 6-1 = 5

pages to be printed = 3800

so total pages need to be printed by each machine =

3,800 ÷ 5 = 760

Hence, Each machine will print 760 pages

to know more about division , visit:;

https://brainly.com/question/25289437

#SPJ4

Answer:

function is the correct answer

Answer:

an = a1 + (n - 1 ) d (Function)

Step-by-step explanation:

This is the formula that will be used when we find the general (or nth) term of an arithmetic sequence. So it is function

The x-intercept is (-9, 0) and there is no y-intercept (option b).

To determine the x- and y-intercepts for the graph defined by the equation x = -9, we need to understand the concept of intercepts. The x-intercept is the point at which the graph intersects the x-axis, and the y-intercept is the point at which the graph intersects the y-axis.

Given the equation x = -9, we can see that the value of x is fixed at -9. This means that the graph will be a vertical line passing through the point (-9, 0) on the x-axis.

Now, let's analyze the answer choices:

a. x-intercept is (-9, 0))

This statement is correct. The x-intercept is indeed (-9, 0) since the graph passes through this point on the x-axis.

No y-intercept

This statement is also correct. Since the graph is a vertical line, it does not intersect the y-axis, so there is no y-intercept.

Based on the analysis of the answer choices, the correct answer is option a: The x-intercept is (-9, 0), and there is no y-intercept.

For more such questions on intercept, click on:

https://brainly.com/question/25722412

#SPJ8

The wavelength λ2 for visible light with frequency f2 = 6.35×10^14 Hz is approximately 4.72 x 10^-7 meters.

We can use the formula relating frequency and wavelength of electromagnetic radiation to find the wavelength of the visible light with frequency f2:

λ = c / f

where λ is the wavelength, c is the speed of light in a vacuum (which is approximately 3.00 x 10^8 m/s), and f is the frequency.

Substituting the given frequency f2 = 6.35×10^14 Hz into this formula, we get:

λ2 = c / f2

= 3.00 x 10^8 m/s / (6.35 x 10^14 Hz)

≈ 4.72 x 10^-7 m

Therefore, the wavelength λ2 for visible light with frequency f2 = 6.35×10^14 Hz is approximately 4.72 x 10^-7 meters.

To know more about wavelength refer to

https://brainly.com/question/31143857

#SPJ11

To find -2A, we simply multiply every element of A by -2. Therefore,

            6   -10   0

-2A  =  -6    4   -2

            2   -8   -14

A matrix is a rectangular array of numbers, arranged in rows and columns. Matrices are used in many areas of mathematics, science, and engineering to represent and manipulate data.

Matrices can have any number of rows and columns, but are typically denoted by the letter A with a subscript indicating the number of rows and columns. For example, a matrix with 2 rows and 3 columns might be denoted as \(A_{2x3}\).

To find -2A, we need to multiply every element of matrix A by -2. In other words, we need to apply the scalar multiplication operation to every element in the matrix.

Scalar multiplication is a simple operation where we multiply each element in a matrix by a scalar, which is just a regular number. In this case, our scalar is -2.

To perform scalar multiplication on a matrix, we simply multiply each element of the matrix by the scalar. So, for each element in matrix A, we can write:

(-2) * aij

where i is the row number and j is the column number of the element.

We can use this formula to find each element of -2A. Let's look at the first element, a11:

(-2) * a11 = (-2) * 5 = -10

So the first element of -2A is -10. We can repeat this process for each element in the matrix to get the following result:

            6   -10   0

-2A  =  -6    4   -2

            2   -8   -14

And that's it! We have successfully found -2A by applying scalar multiplication to every element of matrix A.

To know more about matrix visit:

https://brainly.com/question/29132693

#SPJ1

Answer:

Hexagon and rectangle

Step-by-step explanation:

The equation of the new graph would be \(g(x) = 4(x + 7)\).

The correct answer is B.

When a graph is shifted 7 units to the left, we write \((x + 7)\) inside the parentheses.

Therefore, the equation of the new graph would be

\(f(x + 7) = 4(x + 7)\)

which can be simplified to \(f(x + 7) = 4x + 28\)

But, the question is asking for the equation of the new graph.

So, we replace f(x) with g(x), since we are creating a new function and not modifying the existing one.

Therefore, the equation of the new graph would be \(g(x) = 4(x + 7)\).

For such more questions on graph

https://brainly.com/question/29476810

#SPJ8

Answer:

63 with 3 left over

Step-by-step explanation:

381/6=63.5

63x6=378

378+3=381

Answer:

Step 1: Take the first digit of the dividend from the left. Check if this digit is greater than or equal to the divisor.

Step 2: Then divide it by the divisor and write the answer on top as the quotient.

Step 3: Subtract the result from the digit and write the difference below.

Step 4: Bring down the next digit of the dividend (if present).

Step 5: Repeat the same process.

Step-by-step explanation:

The average population being studied is people with warts. Specifically, this population includes individuals of all ages who have been diagnosed with any type of wart caused by a virus, such as common warts, plantar warts, and flat warts.

The population being studied is people with warts. Warts are caused by a virus and can occur anywhere on the body. Common warts, plantar warts, and flat warts are the most common types. Common warts are usually found on the hands and fingers, and are usually round and raised. Plantar warts are found on the soles of the feet and can be painful. Flat warts are usually found on the face, arms, and legs, and are generally flat and smooth. People of all ages can be affected by warts, and they are highly contagious and can be spread through contact with an infected person or surface. Treatment options include over-the-counter medicines and prescription medications, as well as cryotherapy and laser treatments. This population is being studied to better understand the causes, risk factors, and treatments for warts.

Learn more about average here

https://brainly.com/question/24057012

#SPJ4

The complete question is

what is the population being studied warts and  the prevalence of warts in the population being studied?

The graph of the inequality y ≥ (1/2)x - 1 and x - y > 1 is attached. Shannon's graph is correct.

An equation is an expression that shows the relationship between two or more numbers and variables. Equations can either be linear, quadratic, cubic and so on depending on the degree.

Inequalities are used for the non equal comparison of numbers and variables.

Given the inequalities:

y ≥ (1/2)x - 1     (1)

and

x - y > 1     (2)

The graph of the inequality is attached. Shannon's graph is correct.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

D

Step-by-step explanation:

Each input can not have 2 outputs or else it’s not a function. 2 maps to 21 and 42. It MPs to two outputs. It’s not a function

The equation that represents the proportional relationship between the money earned (M) and the number of cakes baked (C) is M = kC, where k is the constant of proportionality.

In a proportional relationship, the ratio between the two variables remains constant. In this case, the money earned (M) is directly proportional to the number of cakes baked (C).

To find the equation, we observe that Laticia earned $75 for baking 4 cakes. This means that for every cake baked, she earns $75/4 = $18.75.

We can express this relationship as M = kC, where M represents the money earned, C represents the number of cakes baked, and k is the constant of proportionality.

In this case, k = $18.75, as it represents the amount earned per cake baked. Therefore, the equation that represents the proportional relationship between the money earned and the number of cakes baked is M = $18.75C.

To learn more about proportional relationship: -brainly.com/question/29765554

#SPJ11

Answer:

I-872807 karnal linani nje le-lasar uxolo

Answer:

The only points I see one triangle is,

The lower left bottom point: (2,1)

The lower left bottom point: (6,1)

The top middle point: (4,7)

Step-by-step explanation: