thanks!
Use Newton's method to estimate the one real solution of x² + 4x +3=0. Start with x = 0 and then find x2. (Round to four decimal places as needed.) ***

Sum of first 7 terms of an AP = 49.

Sum of first 17 terms = 289

the sum of first 30 term

We know that,

Sum of first n terms of an AP – S(n) = n/2 * [ 2a + (n - 1)d ]

Hence,

→ 7/2 * [ 2a + (7 - 1)d ] = 49

→ 2a + 6d = 49 * 2/7

→ 2( a + 3d ) = 14

→ a + 3d = 14/2

→ a + 3d = 7 -- equation (1)

Similarly,

→ 17/2 * [ 2a + 16d ] = 289

→ 17/2 * 2 * (a + 8d) = 289

→ a + 8d = 289 * 2/17 * 1/2

→ a + 8d = 17 -- equation (2)

Subtract equation (1) from (2).

→ a + 8d - (a + 3d) = 17 - 7

→ a + 8d - a - 3d = 10

→ 5d = 10

→ d = 10/5

→ d = 2

Substitute the value of d in equation (1).

→ a + 3 * 2 = 7

→ a = 7 - 6

→ a = 1

Now,

Sum of first 30 terms = 30/2 * [ 2(1) + (30 - 1)(2) ]

→ S(30) = 15 (2 + 58)

→ S(30) = 15 * 60

→ S(30) = 900

Therefore, the sum of first 30 terms of the given AP is 900.

I hope it will help you.

Regards.

answer refer in pic siso

Using the percentage-of-credit-sales method, Lindsey Corp. would report a bad debt expense of $40,000 for the year, assuming their total credit sales were $500,000 and they estimated 8% of those sales to be uncollectible.

Lindsey Corp. uses the percentage-of-credit-sales method to estimate their bad debt expense. According to their estimation, 8% of their credit sales are anticipated to be uncollectible. To calculate the bad debt expense for the year, Lindsey Corp. would follow these steps:

Multiply the total credit sales by the estimated percentage of uncollectible sales,

Next, Lindsey Corp. would multiply the total credit sales by the estimated percentage of uncollectible sales (8% in this case). This calculation gives us the anticipated amount of credit sales that are expected to become bad debts.

Mathematically, the formula would be:

Bad Debt Expense = Total Credit Sales * Percentage of Uncollectible Sales

If Lindsey Corp. had $500,000 in total credit sales for the year, the calculation would be:

Bad Debt Expense = $500,000 * 0.08 = $40,000

Finally, Lindsey Corp. would report the calculated amount as their bad debt expense for the year. This expense is recorded on the income statement to reflect the potential loss from uncollectible credit sales.

To know more about debt expense here

https://brainly.com/question/30943691

#SPJ4

Answer:

yes the answer is 2

Step-by-step explanation:

you're welcome

Answer:

ennenennenenenenenennnnnnnnnnnnn nn

Answer: the answer is 1, 2, and 4

Step-by-step explanation:

I know this cause my teacher told me

Answer:

The probability is 9/100

Step-by-step explanation:

First, we know that 70% of the students are with brown eyes. Since we have a total of 20 students, this corresponds to 70/100 * 20 = 14 students

The number of students without brown eyes is thus 20 -14 = 6 students

Now, the probability of selecting a student without brown eyes is 14/20 = 7/10 while the probability of selecting a student with brown eyes is 6/20 = 3/10

Now the probability of selecting two students without brown eyes mean, the first selected is without brown eyes and also the second selected is without brown eyes.

In probability, once we have the work and, we multiply.

So our answer here is 3/10 * 3/10 = 9/100

Emma should leave a tip of $9.20 for the lunch, which is calculated by finding 20% of the original cost of the lunch, which was $46, before adding the $11 pie.

To find the amount of the tip that Emma should leave, we need to find the original cost of the lunch and then calculate 20% of that cost.

Let's call the original cost of the lunch "L". With the coupon, the bill was $23, so without the coupon the bill would have been $23 / (1 - 50%) = $23 / 0.5 = $46. However, we also need to add back the cost of the pie, which was $11, so the total cost before the coupon was $46 + $11 = $57.

Since the original cost of the lunch was $57 - $11 = $46, we can calculate the tip by finding 20% of $46:

Tip = 20% * $46 = $9.20

So Emma should leave a tip of $9.20 for the lunch.

Learn more about original cost here:

https://brainly.com/question/27191258

#SPJ4

Answer:

ii) Over the interval [2, 4], the local minimum is at -8

iii) Over the interval [3, 5], the local minimum is at -8

iv) Over the interval [1, 4], the local maximum is at 0

Step-by-step explanation:

The graph of the function is attached below.

The local minimum is the minimum point within a specified range while the local maximum is the maximum within a specified range.

i) We can see from the graph that within [1, 3] the local minimum is at -6, hence the first option is wrong.

ii) Over the interval [2, 4], the local minimum is at -8, hence option 2 is correct

iii) Over the interval [3, 5], the local minimum is at -8, hence option 3 is correct

iv) Over the interval [1, 4], the local maximum is at 0, hence option 3 is correct

v) Over the interval [3, 5], the local maximum is at infinity, hence option 5 is not correct

Answer:

B, C, D

Step-by-step explanation:

Hope this helps!

The Q(Q) = {(a,b,c,√2a+b+c) | a,b,c ∈ Q} ∪ {(-a,b,c,-√2a+b+c) | a,b,c ∈ Q}, where Q is the  cubic.

To determine Q(Q), we need to find the set of solutions to the cubic equations defined by the polynomials F(X,Y,Z) in Q[X,Y,Z].

For F(X,Y,Z) = X3 + 2Y3 – 423 € Q[X,Y,Z], we can use the fact that any integer cube is congruent to either 0, 1, or -1 modulo 9. Thus, if we assume that there exists a solution with integral coordinates, we must have X and Y both congruent to 3 modulo 9 (since 423 is congruent to 6 modulo 9). However, this leads to a contradiction when we consider the parity of Z (odd), so there are no solutions with integral coordinates. Therefore, Q(Q) = {}.

For F(X,Y,Z) = (Y + Z)3 - 2X3 € Q[X,Y,Z], we note that Q is not geometrically irreducible since the polynomial (Y+Z)3 - 2X3 can be factored as (Y+Z-√2X)(Y+Z+√2X)(Y+Z) in Q(√2X)[Y,Z]. Thus, we need to study the Galois action on the irreducible components.

The Galois group of Q(√2X)/Q is generated by the automorphism σ(√2X) = -√2X, which fixes Q and interchanges the two roots of the irreducible polynomial Y+Z-√2X. Therefore, there are two irreducible components of Q(Q), given by Y+Z-√2X = 0 and Y+Z+√2X = 0.

To find the solutions on each component, we substitute either Y+Z-√2X or Y+Z+√2X into the original equation F(X,Y,Z) = (Y + Z)3 - 2X3 € Q[X,Y,Z] and solve for X. We obtain:

- For Y+Z-√2X = 0, we have X = (Y+Z)√2/∛2. Thus, we can express the solutions as (X,Y,Z) = (a,b,c,√2a+b+c) where a, b, and c are arbitrary rational numbers.
- For Y+Z+√2X = 0, we have X = -(Y+Z)√2/∛2. Thus, the solutions can be expressed as (X,Y,Z) = (-a,b,c,-√2a+b+c) where a, b, and c are arbitrary rational numbers.

Therefore, Q(Q) = {(a,b,c,√2a+b+c) | a,b,c ∈ Q} ∪ {(-a,b,c,-√2a+b+c) | a,b,c ∈ Q}.

Learn more about cubic equations: https://brainly.com/question/1266417

#SPJ11

X = 700 m and Y = 350 m will require the least amount of fencing.

Area of a rectangular field = length × breath =  245000 = XY

⇒ Y = 245000/X

Perimeter of a rectangular field = X + 2Y

⇒P = X+ 2Y

⇒P = X + 490000/X

⇒ X + 490000X⁻¹

⇒P [X] =  X + 490000X⁻¹

⇒P'[X] = 1+[-490000X⁻²]

⇒0 = 1 - 490000/X²

⇒X²= 490000

⇒X = 700 unit

As XY = 245000  [ area of a rectangle ]

⇒700Y = 245000

⇒Y = 350 unit.

Hence , P is minimum [ fencing ] when X = 700 unit and Y = 350 unit.

To understand more about maxima and minima refer -

https://brainly.com/question/27958412

#SPJ4

Answer:

x> 4

Step-by-step explanation:

the point is at positive 4, and continues in a positive direction infinitely. This means x will will always be equal to or greater than 4.

By forming and solving equations, we know that the speed of the runner is 4 miles per hour.

So, we need to form an equation to get the speed of the runner:

'x' is the speed of the runner. Now, solve for x as follows:

Therefore, by forming and solving equations, we know that the speed of the runner is 4 miles per hour.

Know more about equations here:

https://brainly.com/question/28937794

#SPJ1

Answer:

  £67.78

Step-by-step explanation:

Given that rolls come in a package of 20 for £2.87 and ham slices come in a package of 30 for £6.32, you want the minimum cost of enough packs for more than 90 sandwiches, each of which uses 1 roll and 2 ham slices.

One package of 20 bread rolls is enough for 20 sandwiches. One package of 30 ham slices is enough for 15 sandwiches. The least common multiple of these numbers is the number of sandwiches that will use a whole number of each of the kinds of packages:

  LCM(20, 15) = 60 = 3·20 = 4·15

We want to make a number of sandwiches that is more than 90. The least multiple of 60 that is more than 90 is 120.

120 sandwiches will require 120/20 = 6 packages of bread rolls, and 120/15 = 8 packages of ham slices.

The cost of 6 packages of bread rolls and 8 packages of ham slices is ...

  6×£2.87 +8×£6.32 = £17.22 +50.56 = £67.78

The least Tina can spend on packs of bread and ham is £67.78.

Answer:560

Step-by-step explanation: 7x20x4=560

Answer:

To find the last term, divide the coefficient of the middle term by 2 then raise to the power of 2,that will be :

\(( \frac{ - 12}{2} )^{2} = { - 6}^{2} = 36 \)

Answer:

add 36

Step-by-step explanation:

the distance from the plane to the radar station is increasing at a rate of approximately 30.84 kilometers per minute.

A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.

Given, A plane flying with a constant speed of 25 km/min passes over a ground radar station at an altitude of 12 km and climbs at an angle of 30 degrees.

We can use the law of cosines to find d:

d² = 12² + (h + 12)² - 2(12)(h + 12)cos(θ)

Since the plane is climbing at an angle of 30 degrees, we can use trigonometry to find h:

sin(30) = h / (25 km/min * 2 min)

h = 25 km/min

Now we can substitute this value of h into the equation for d and simplify:

d² = 12² + (25 + 12)² - 2(12)(25 + 12)cos(θ)

d² = 12² + 37² - 2(12)(37)cos(θ)

d² = 144 + 1369 - 888cos(θ)

d² = 1513 - 888cos(θ)

To find the rate at which d is changing, we can take the derivative of both sides of this equation with respect to time:

2dd/dt = -888(d(cos(θ))/dt)

Since the plane is flying with a constant speed of 25 km/min, we can use trigonometry to find d(cos(θ))/dt:

cos(θ) = 12/d

d(cos(θ))/dt = -(12/d²)(dd/dt)

d(cos(θ))/dt = -(12/d²)(25 km/min)

Now we can substitute these values into the equation for the rate of change of d:

2dd/dt = -888(-(12/d²)(25 km/min))

2dd/dt = (888*12)/(d²)(25 km/min)

dd/dt = (5328)/(d²) km/min

Finally, we can substitute the value we found for d into this equation to get the rate at which d is changing 2 minutes later:

d = sqrt(1513 - 888cos(θ))

θ = 30 degrees

dd/dt = (5328)/(d²) km/min

dd/dt = (5328)/(1513 - 888cos(30)) km/min

dd/dt ≈ 30.84 km/min

Therefore, the distance from the plane to the radar station is increasing at a rate of approximately 30.84 kilometers per minute.

Learn more about right-angle triangles here:

https://brainly.com/question/3770177

#SPJ1

radius : A straight line extending from the center of a circle or sphere to the circumference or surface

In geometry, circles and spheres are two-dimensional and three-dimensional shapes, respectively, that possess unique characteristics. One important concept associated with circles and spheres is the notion of a line extending from their centers to their circumferences or surfaces. This line has a specific name and serves as a fundamental element in understanding these geometric shapes. In this detailed explanation, we will explore the term used to describe this line and delve into its significance.

The line extending from the center of a circle to its circumference, or from the center of a sphere to its surface, is called a "radius." The term "radius" refers to a straight line segment that connects the center of the circle or sphere to any point on its circumference or surface. It is important to note that the term "radius" is used exclusively when referring to circles and spheres and not to other shapes or objects.

Let's examine the properties and significance of the radius in both circles and spheres:

1. Circle:

In a circle, the radius is a fundamental element that defines the size and shape of the circle. It is the distance between the center of the circle and any point on its circumference. Notably, all radii of a circle are equal in length. In mathematical formulas and calculations involving circles, the radius is often denoted by the letter "r."

The radius plays a crucial role in determining various properties of the circle, including its area, circumference, and relationships with other geometric elements, such as chords and tangents.

2. Sphere:

In a sphere, which is a three-dimensional object analogous to a circle, the radius serves a similar purpose. It extends from the center of the sphere to any point on its surface. Like in a circle, all radii of a sphere are equal in length. In mathematical formulas and calculations involving spheres, the radius is typically denoted by the letter "r."

The radius of a sphere is essential in determining properties such as its volume, surface area, and relationships with other geometric elements like great circles or diameters.

The radius is a foundational concept in the study of circles and spheres. It provides a measure of distance from the center to the outer edge and is used in various mathematical calculations and geometric analyses. Moreover, the radius plays a crucial role in determining the symmetry, proportions, and relationships between different parts of circles and spheres.

It is worth mentioning that the concept of the radius is closely related to other geometric elements in circles and spheres. For instance, diameters are lines that pass through the center of a circle or sphere and have endpoints on the circumference or surface, respectively. The diameter is always twice the length of the radius. Additionally, chords are segments within a circle or sphere that connect any two points on the circumference or surface.

The radius bisects any chord that passes through the center, dividing it into two equal segments.

In conclusion, the line extending from the center of a circle to its circumference or from the center of a sphere to its surface is called a "radius." The radius is a fundamental element that defines the size, shape, and proportions of circles and spheres. It plays a crucial role in calculating various properties, such as area, circumference, volume, and surface area.

Understanding the concept of the radius is essential in geometry and provides insights into the symmetrical and proportional relationships within circles and spheres.

To learn more about Sphere:

https://brainly.com/question/28228180

#SPJ11

Hello!

1/6 ≈ 0.167

the answer is 0.167

Answer: 28

Step-by-step explanation:

28 is thhe missing number

Answer:

yes hdhdhzbw Ziad uebs U ue susna

Answer:

27+a

Step-by-step explanation:

Answer:

x = 2

y = - 1

Step-by-step explanation:

Please see the step by step solution in the picture attached below.

Hope it can help you. Have a nice day!

The weighted average of a data set is 36.

Here,

Given data set;

20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.

We have to find the weighted average of a data set.

What is Weighted Average?

Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set.

Now,

Given data set;

20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.

The weighted average is given by the formula;

\(x = \frac{f_{1} x_{1} + f_{2} x_{2}+ f_{3} x_{3}+ ...... f_{n} x_{n}}{f_{1} +f_{2} + f_{2}}\)

Hence,

The weighted average of a data set;

x = 20 x 3 + 40 x 5 + 50 x 2 / 3+5+2

x = 360/10 = 36

Hence, The weighted average of a data set is 36.

Learn more about the weighted average visit:

https://brainly.com/question/18554478

#SPJ4

Answer:

Absolute value is the distance of a point from zero

Step-by-step explanation:

Answer:

C. and F.

Step-by-step explanation:

A scalene triangle is a triangle in which all three sides have different lengths. Also the angles of a scalene triangle have different measures. Some right triangles can be a scalene triangle when the other two angles or the legs are not congruent. Right angle are 90 degrees

Answer:

C and F

Step-by-step explanation:

This triangle is not an equilateral triangle because their lengths are not equivalent to each other. It is not an isosceles triangle because no two lengths are equivalent to each other. It is a right triangle because it has one right angle(A 90 degrees angle.) It is not an obtuse triangle because there isn't an angle that is obtuse(More than 90 degrees but less than 180 degrees angle.) It isn't an acute triangle either because not all three angles are acute(Less than90 degrees angle.) Lastly, it is also a scalene triangle because none of the triangle lengths are equivalent to each other.

52 tiles are there in the 25th figure in this pattern.

A pattern is described as a series of recurring symbols, figures, or numbers. Any form of event or object can be related to a pattern.

A pattern has a rule that specifies which items fall within the pattern's umbrella and which do not.

A pattern in mathematics is a recurring arrangement of numbers, forms, colors, and other elements.

Any kind of event or object can be connected to the Pattern.

A pattern is referred to as a rule or a way in which a group of numbers is related to one another.

Sometimes a pattern is also referred to as a sequence.

To learn more about pattern, refer

https://brainly.com/question/26273812

#SPJ4

An R-squared value of 0.50 is considered moderate, but the interpretation of the results will depend on the specific circumstances.

To test for overall significance, we can perform an F-test with a significance level of 0.05.

The null hypothesis is that all regression coefficients are equal to zero, while the alternative hypothesis is that at least one coefficient is not equal to zero.

To learn more about “critical value” refer to the https://brainly.com/question/14040224

#SPJ11

Answer:

04

Step-by-step explanation:

Any number from 1 to 9 is a significant figure in group of numbers.

Remember

1. When 0 is before 1,2,3 to 9 is not a significant number.

2. But when 0 is between 1,2,3 to 9 is termed as a significant figure. it applies to decimal numbers.

from 0.04502

you can see from 4 to 2 are significant digits including 0 since it is between them.

so in counting starting from 4 to 2, there are 4 significant digits

Answer:

\(\huge\boxed{\sf 4 \ s.fs}\)

Step-by-step explanation:

So, looking at the rules of significant figures, we can deduce that the number 0.04502 has 4 significant figures.

\(\rule[225]{225}{2}\)

0.50

Step-by-step explanation:

Its right <3

In the graph the constant of  proportionality is 0.5

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The constant of proportionality is the ratio between two directly proportional quantities.

Two quantities are directly proportional when they increase and decrease at the same rate.

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

From the given graph let us take one point (1, 0.5)

k=0.5/1

Constant of proportionality is 0.5

Hence, in the graph the constant of  proportionality is 0.5

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ2