Lets be a given function. A graphical interpretation of the 3-point central difference formula for approximating f'(x) is the slope of the line joining the points of absuissas Xoth h with h > 0.
T/F

Answers

Answer 1

True. The graphical interpretation involves calculating the slope of the line connecting two points on the graph of the function, with the distance between the points denoted as h, where h is greater than zero.

The 3-point central difference formula is a numerical approximation technique used to estimate the derivative of a function at a specific point. In this formula, the slope of the line joining two points on the graph of the function is used to approximate the derivative.

To apply the 3-point central difference formula, three points on the graph are considered: (x-h, f(x-h)), (x, f(x)), and (x+h, f(x+h)), where h is a positive value. These three points create two lines: one connecting (x-h, f(x-h)) and (x, f(x)), and the other connecting (x, f(x)) and (x+h, f(x+h)).

The slope of the line joining the points (x-h, f(x-h)) and (x+h, f(x+h)) is then calculated, which represents the approximation of the derivative at x using the 3-point central difference formula. The distance between the two x-coordinates, h, is taken to be greater than zero to ensure that the points are not too close together, allowing for a more accurate estimation of the derivative.

Therefore, the statement is true, as the graphical interpretation of the 3-point central difference formula involves calculating the slope of the line joining the points with a positive value of h.

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Related Questions

How many meters does a runner cross in a circular runway with radious of 100 meters [R=3, 14]​

Answers

diameter = 2 * radius = 200m

circumference (length of the outside of the circle = diameter * pi = 200 * 3.14

= 628m

please help fast I am baffled

please help fast I am baffled

Answers

The expression for the number of non-adult sizes is s - 19.

What are expressions?

A value or amount is represented by an expression, which is a collection of numbers, variables, and mathematical operations like addition, subtraction, multiplication, and division. Calculations, complicated mathematical equations, and issues in a variety of disciplines, including science, engineering, economics, and statistics, may all be solved using expressions. Functions that depict a connection between variables, such as sin(x) and log(x), can also be included in expressions. Expressions are frequently employed to simulate real-world circumstances and provide predictions based on mathematical analysis.

Given that the total number od sweatshirts = s.

The number of non-adult sweatshirts can be calculated by:

Number of non-adult sizes = Total number of sweatshirts sold - Number of adult sizes

= s - 19

Hence, the expression for the number of non-adult sizes is s - 19.

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Hi! I need help with these ratio questions! Please help me!

Hi! I need help with these ratio questions! Please help me!

Answers

The answers are 14 is 3
15 is 4

Can anyone help me with this please and thank you

Can anyone help me with this please and thank you

Answers

Answer:

x=0, 7

Step-by-step explanation:

x^2-3x=4x

x^2-7x=0

x(x-7)=0

x=0 or 7

Answer:

x=0  x=7

Step-by-step explanation:

x^2 -3x = 4x

Subtract 4x from each side

x^2 -3x-4x=0

x^2 -7x = 0

Factor out an x

x(x-7) =0

Using the zero product property

x=0  x-7 =0

x=0  x=7

Consider a single spin of the spinner. a spinner contains 4 equal sections: 1, 2, 4 and 3. sections 1 and 4 are shaded. the spinner is pointed at number 2. which events are mutually exclusive? select two options.

Answers

To determine which events are mutually exclusive, we need to identify the events that cannot occur at the same time.

The options for the events are: Landing on a shaded section Landing on an even number Landing on an odd number Landing on a section that is not shaded Now let's analyze the options Landing on a shaded section (1 or 4) and landing on an even number (2 or 4) are mutually exclusive, as they cannot occur at the same time.

Landing on a shaded section (1 or 4) and landing on an odd number (1 or 3) are not mutually exclusive, as they can occur at the same time if the spinner lands on section 1. The mutually exclusive events in this scenario are:  Landing on a shaded section Landing on an even number

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From the given information, the two mutually exclusive events are:
1. Landing on a shaded section (sections 1 or 4)
2. Landing on an even number (sections 2 or 4)

Therefore, these are the two options that are mutually exclusive based on the spinner's configuration.

The term "mutually exclusive" refers to events that cannot occur at the same time. In this case, we need to determine which events on the spinner are mutually exclusive given the information provided.

To start, let's list the numbers on the spinner: 1, 2, 4, and 3. We are told that sections 1 and 4 are shaded, and the spinner is pointed at number 2.

Event 1: Landing on a shaded section.
This event includes landing on either section 1 or section 4. Since these sections are shaded, they cannot occur simultaneously with any other section on the spinner.

Event 2: Landing on an odd number.
This event includes landing on either section 1 or section 3. These sections are mutually exclusive with the even numbers, which are 2 and 4.

Event 3: Landing on a multiple of 4.
This event includes landing on section 4. Since section 4 is shaded, it cannot occur simultaneously with any other section on the spinner.

Event 4: Landing on an even number.
This event includes landing on either section 2 or section 4. These sections are mutually exclusive with the odd numbers, which are 1 and 3.

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could you guys help me?

could you guys help me?

Answers

Answer:

15.6 feet

Step-by-step explanation:

I have no time to explain

The answer will be 15.6 feet

Determine the 95% confidence interval for the difference of the sample means. Then complete the statements. The 95% confidence interval is to. The value of the sample mean difference is 1. 74, which falls the 95% confidence interval.

Answers

Answer:

Confidence Level z*-value

90% 1.645 (by convention)

95% 1.96

98% 2.33

99% 2.58

Step-by-step explanation:

Thus, the difference in sample means is 0.1, and the upper end of the confidence interval is 0.1 + 0.1085 = 0.2085 while the lower end is 0.1 – 0.1085 = –0.0085.

8. Let U= {x:x e P and x< 12} be the
universal set and A = {1, 3, 5, 6, 7},
B= {4, 6, 7,9}.
Find: i) A' ii) B' iii) An B'​

Answers

Answer:

b is a answer I think so hmmm

(07.01)How many solutions can be found for the equation 4x = 4x?
O Zero
O One
Two
Infinitely many

Answers

Answer: Infinitely many.

Answer:

Infinitely many

Brainliest?

No Solutions 2x + 5 + 2x + 3x = One Solution 2x+5+ 2x + 3x = Infinitely Many Solutions 2x + 5 + 2x + 3x =

Answers

Answer:

2x+5+2x +3x=7x+5       2x +5+ 2x + 3x = 7x+5

Step-by-step explanation:

Which equation represents the graph
shown below?
y
650
600
550
500
450
400
350
300
w
250
200
150
100
50
X
-2
2
4
6
8
10
12
14
16
18
-50
-100

Which equation represents the graphshown below?y650600550500450400350300w25020015010050X-224681012141618-50-100

Answers

Answer:

y300

Step-by-step explanation:

line graph start at y300

1.5.17 each vertex of convex pentagon abcde is to be assigned a color. there are 6 colors to choose from, and the ends of each diagonal must have different colors. how many different colorings are possible? (2011amc10a problem 22) (a) 2520 (b) 2880 (c) 3120 (d) 3250 (e) 3750

Answers

3120 different types of colorings are possible . Thus, Option C is the correct option. There are 3 cases involved

If there are no similar color pairs then it comes down to simple permutations. Then 6 different types of colors in 5 different spots.

6! = 720 cases

No rotation is necessary because all permutation are already accounted for.

If there is one color pair then, consideration of 6 possibilities for the pair is essential 5 for the 3rd vertex, 4 for the 4th vertex, 3 for the 5th vertex

6 × 5 × 4 × 3 = 360

There are 5 different locations where the pair can be present.

360 × 5 = 1800 one pairs is possible

If there are two color pair still we have to account for 6 possibilities for the first pair then 5 possibilities for the next pair and 4 possibilities for the last pair.

6 × 5 × 4 = 120

There are 5 rotations in the pentagon so the total number of possibilities is  

120 × 5 = 600 two pairs are possible

now, we add the 3 cases to find the total number of possibilities

720 + 1800 + 600 =  3120

3120 different types of colorings are possible. Thus, Option C is the correct option.

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Ignore my work but solve the problem and check. Thank you!!

Ignore my work but solve the problem and check. Thank you!!

Answers

Yes good job you are correct

how do you prove midsegment theorem?

Answers

Answer:

Step-by-step explanation:

We connect the midpoints of any two sides of a triangle with a line segment, then that line segment is following two properties. The line segment will be parallel to the third side. The length of the line segment will be one-half the length of the third side. This is how you prove it.

If your t-test value is t=1.45 and the critical value is CV=5.66, your data is: A.significant B.different not significantly different.

Answers

If your t-test value is t=1.45 and the critical value is CV=5.66, your data is not significantly different.

In a t-test, you compare the t-value to the critical value to determine the significance of the data. If the t-value is greater than the critical value, it indicates that the data is significant and there is a difference between the groups being compared. However, if the t-value is less than the critical value, it means that the data is not significantly different, and any observed difference may be due to chance or random variation.

In this case, the t-value (1.45) is less than the critical value (5.66), which suggests that the data is not significantly different. This means that the differences observed between the groups in your study may not be meaningful, and there may not be a true difference between the groups.

It is important to consider other factors, such as sample size and effect size when interpreting the results of a t-test, but based on the provided values, your data is not significantly different.

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2.) Olivia is borrowing $60 from her brother at 10% monthly interest. The
interest is to be compounded every month, and her only repayment
will be in full after 3 months. About how much will Olivia pay in
interest?

Answers

Answer:

18 dollars

Step-by-step explanation:

well my teacher tought me to use something called a proportian box when you multiply the 60 * 210 equals 600 divided by 100 equals that 6 dollars of the interest then you multiply by 3 months with gives you 18 dollars in total

hope this helps

Nina is an artist who sells paintings online. She charges the same amount to ship each painting. When she sells 4 paintings, she charges a total of $9.96 for shipping. When she sells 8 paintings, she charges a total of $19.92 for shipping. How much more does Nina charge for shipping 20 paintings than for shipping 16 paintings?
a$2.49
b$9.96
c$19.92
d$29.96​

Answers

Answer:

b. $9.96

Step-by-step explanation:

To solve this problem, let's first calculate how much Nina charges for shipping per painting. We'll divide the total shipping cost by the number of paintings sold.

When Nina sells 4 paintings and charges a total of $9.96 for shipping:

Shipping cost per painting = $9.96 / 4 = $2.49

When Nina sells 8 paintings and charges a total of $19.92 for shipping:

Shipping cost per painting = $19.92 / 8 = $2.49

We can see that regardless of the number of paintings sold, Nina charges $2.49 for shipping per painting.

Now let's calculate how much Nina charges for shipping 20 paintings and 16 paintings:

Shipping cost for 20 paintings = $2.49 * 20 = $49.80

Shipping cost for 16 paintings = $2.49 * 16 = $39.84

The difference in shipping charges for 20 paintings and 16 paintings is:

$49.80 - $39.84 = $9.96

Therefore, Nina charges $9.96 more for shipping 20 paintings than for shipping 16 paintings. The correct option is (b) $9.96.

please help ASAP please ​

please help ASAP please

Answers

Answer:

You got them both right, no other choices need to be selected.

Step-by-step explanation:

Both the choices you have put yes to, will give an answer equal to 32.

Since they want us to find the full amount of students in his class, and 20 is 4 more than half the class 20-4=16 and then 16 x 2 is 32

1/2m+4=20 is correct because, if you move the 4 across the equal sign it become a negative and will be subtracted from the 20 therefore becoming 16. 1/2m=16. Now left with only the 1/2m we must multiply by 2 because 1/2 is a fraction and mutipliting it by 2 will allow us to get 1/2 to equal 1 and m by itself.

1/2m*2=1m

1m=16*2 Keep in mind you must do the same to both sides so the 16 is multiplied as well.

4th option: Same thing different order

Just send 1/2m over equal sign and 4 over the equal sign to trade places. and you will have 1/2m=16

A laptop computer is purchased for $1850 . After each year, the resale value decreases by 35% . What will the resale value be after 5 years? round your answer to the nearest dollar.

Answers

Answer:

1850 * 0.7^3 = 634.55

Step-by-step explanation:

find a function that models the area a of a circle in terms of its circumference c.

Answers

Answer:

  A = C²/(4π)

Step-by-step explanation:

You want a formula for the area of a circle, given its circumference.

Circle relations

Relevant relations for a circle are ...

  A = πr² . . . . . . . . A = area, r = radius

  C = 2πr . . . . . . . . C = circumference

Area from circumference

Solving the circumference equation for r, we find ...

  r = C/(2π)

Substituting that into the area equation, we have ...

  A = π(C/(2π))²

  A = C²/(4π)

#95141404393

Final answer:

The function that models the area A of a circle in terms of its circumference C is A = C²/(4π).

Explanation:

The formula for the circumference of a circle is C = 2πr or C = πd, where r is the radius and d is the diameter. To find a function that models the area A of a circle in terms of its circumference C, we can rearrange the formula for the circumference to solve for the radius: r = C/(2π). Substituting this value of r into the formula for the area, we get A = π(C/(2π))² = C²/(4π).

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use calculus to find the area a of the triangle with the given vertices. (0, 0), (6, 1), (3, 7) a =

Answers

The area of the triangle is approximately 36.83 square units.

To find the area of a triangle using calculus, we can use the formula:

A = (1/2) ∫(x2 - x1)dy

Where x1 and x2 are the x-coordinates of the vertices, and dy is the change in the y-coordinate.

First, we need to find the equations of the lines that make up the sides of the triangle. The line between (0,0) and (6,1) has the equation y = (1/6)x. The line between (6,1) and (3,7) has the equation y = -2x + 13. The line between (3,7) and (0,0) has the equation y = (7/3)x.

Now we can use the formula to find the area of the triangle. We'll integrate from y = 0 to y = 1 for the first side, from y = 1 to y = 7 for the second side, and from y = 7 to y = 0 for the third side:

A = (1/2) ∫(x2 - x1)dy

= (1/2) ∫[(6x - 0) - (0 - 0)]dy from y = 0 to y = 1

+ (1/2) ∫[(13 - 2x) - (6x - 0)]dy from y = 1 to y = 7

+ (1/2) ∫[(0 - 0) - (7x/3 - 0)]dy from y = 7 to y = 0

= (1/2) ∫6xdy from y = 0 to y = 1

+ (1/2) ∫(13 - 8x)dy from y = 1 to y = 7

+ (1/2) ∫(-7x/3)dy from y = 7 to y = 0

= (1/2) [(3 - 0) + (49 - 8) + (-49/3 - 0)]

= (1/2) [(3) + (41) + (-49/3)]

= (1/2) [(147/3) + (123/3) + (-49/3)]

= (1/2) [(221/3)]

= 36.83

So the area of the triangle is approximately 36.83 square units.

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A rectangle has a length of 14 yards less than 9 times its width. If the area of the rectangle is 6183 square yards, find the length of the rectangle.

Answers

Answer:

 \(l=238\ yards\)

Step-by-step explanation:

From the question we are told that:

Area of Rectangle A=6183

Equation of Length

 \(l=9w-14\)

Where

\(w=width\ of\ triangle\)

Generally the equation for Area of Rectangle is mathematically given by

 \(A=(9w-14)w\)

 \(A=9w^2-14w\)

 \(6183=9w^2-14w\)

 \(9w^2-14w-6183=0\)

 \(w=28\)

Therefore

 \(l=9(28)-14\)

 \(l=238\ yards\)

what is the total length of 13 rods?​

Answers

Answer:

2/3

Step-by-step explanation:

Aggregate Demand (AD)=C+I+G+ (X-M). X = O a. X factor b. exchange c. exports

Answers

Aggregate Demand (AD) is a macroeconomic concept that represents the total demand for goods and services in an economy. The X factor in the AD equation represents exports, which are an important part of the economy.

AD is calculated by adding up the individual components of demand, which include consumer spending (C), investment spending (I), government spending (G), and net exports (X-M). The X-M component represents the difference between exports (X) and imports (M).

The X component in the equation represents exports, which are the goods and services produced domestically and sold to foreign countries. Exports are an important part of the economy as they generate income and create jobs. The M component in the equation represents imports, which are the goods and services purchased from foreign countries and consumed domestically. Imports can have a negative impact on the economy as they represent a drain on resources and can lead to a trade deficit. The X factor in the equation is used to represent exports because it is a variable that can change over time. Factors that can affect exports include exchange rates, tariffs, and global demand for certain products. If the exchange rate between two currencies changes, it can make exports more or less expensive for foreign buyers, which can affect the level of exports. Tariffs are taxes on imports, which can make domestic products more competitive in foreign markets.

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What is the following product?

What is the following product?

Answers

Answer:

98-406

Option D is the right option.

solution,

\((5 \sqrt{2} - 4 \sqrt{3} )(5 \sqrt{2} - 4 \sqrt{3} ) \\ \)

Write in the exponential form:

\((5 \sqrt{2} - 4 \sqrt{3} ) ^{2} \)

Using (a-b)^2=a^2-2ab+b^2 ,expand:

\((5 \sqrt{2}) ^{2} - 2 \times 5 \sqrt{2} \times 4 \sqrt{3} + (4 \sqrt{3} ) ^{2} \)

\( = 50 - 40 \sqrt{6} + 48\)

\( = 50 + 48 - 40 \sqrt{6} \)

Calculate:

\(98 - 40 \sqrt{6} \)

Hope this helps...

Good luck on your assignment..

Abby's friend told her that he drew a quadrilateral with exactly one pair of parallel sides. Abby said it must be a trapezoid. Is she correct

Answers

Answer:

Yes, she is correct

Step-by-step explanation:

A trapezoid has exactly one pair of parallel lines and 4 sides


The function S(d) = √9.8d estimates the speed, S, in meters/second (m/s),
of a tsunami based on the ocean depth, d, in meters (m).
Determine the speed, in (m/s), of a tsunami at the depth of 2145 m. Round your
answer to the nearest thousandth.

Answers

To find the speed of the tsunami at the depth of 2145 meters, you can use the given function:

S(d) = √(9.8 * d)

Plug in the value of d (2145 meters):

S(2145) = √(9.8 * 2145)S(2145) ≈ √(21001)S(2145) ≈ 144.917Rounded to the nearest thousandth, the speed of the tsunami at a depth of 2145 meters is approximately 144.917 m/s.

What’s the answer to this simpflied?

Whats the answer to this simpflied?

Answers

6+2x-16+3x-11+x —> 6x(-21). It’s D

12/13+(-1/13 complete the expressions to find the sum or difference..

Answers

Answer:

11/13

Step-by-step explanation:

\(\frac{12}{13}+ (-\frac{1}{13} )\) \(\frac{12}{13} - \frac{1}{13}\) \(\frac{11}{13}\)

Wiseman Video plans to make four annual deposits of $2,000 each to a special building fund. The fund’s assets will be invested in mortgage instruments expected to pay interest at 12% on the fund’s balance. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)

Using the appropriate annuity table, determine how much will be accumulated in the fund on December 31, 2019, under each of the following situations.

1. The first deposit is made on December 31, 2016, and interest is compounded annually.

Table or calculator function: FVA of $1
Payment: $2,000
n = 4
i = 12%
Fund balance 12/31/2019: $9,559
2. The first deposit is made on December 31, 2015, and interest is compounded annually.

Table or calculator function: FVAD of $1
Payment: $2,000
n = 4
i = 12%
Fund balance 12/31/2019: $10,706
3. The first deposit is made on December 31, 2015, and interest is compounded quarterly.

Using the FV of $1 chart, calculate the fund balance:
Deposit Date i = n = Deposit Fund Balance 12/31/2019
12/31/2015 3% 16 $2,000 $3,209
12/31/2016 3% 12 2,000 2,852
12/31/2017 3% 8 2,000 2,534
12/31/2018 3% 4 2,000 2,251
$10,846
4. The first deposit is made on December 31, 2015, interest is compounded annually, and interest earned is withdrawn at the end of each year.

Deposit Amount No. of Payments Interest left in Fund Fund Balance 12/31/2019
$2,000 $8,000

Answers

The fund balance at the end of 2019 will be $8,000.

The given problem has four different parts, where we are supposed to calculate the accumulation of funds at the end of 2019 in different scenarios.

Scenario 1In the first scenario, the first deposit is made on December 31, 2016, and interest is compounded annually.

Using the FVA of $1 table; Payment: $2,000n = 4i = 12%

Fund balance 12/31/2019: $9,559

Hence, the fund balance at the end of 2019 will be $9,559.Scenario 2In the second scenario, the first deposit is made on December 31, 2015, and interest is compounded annually.

Using the FVAD of $1 table;Payment: $2,000n = 4i = 12%

Fund balance 12/31/2019: $10,706 Therefore, the fund balance at the end of 2019 will be $10,706.Scenario 3In the third scenario, the first deposit is made on December 31, 2015, and interest is compounded quarterly. Using the FV of the $1 chart, we get the following calculation:

Deposit Date i = n = Deposit Fund Balance 12/31/2015 3% 16 $2,000 $3,20912/31/2016 3% 12 $2,000 $2,85212/31/2017 3% 8 $2,000 $2,53412/31/2018 3% 4 $2,000 $2,251

The interest rate is 3%, and the payment is $2,000. Hence, the fund balance at the end of 2019 will be $10,846.Scenario 4In the fourth scenario, the first deposit is made on December 31, 2015, interest is compounded annually, and interest earned is withdrawn at the end of each year.

Deposit Amount No. of Payments Interest left in Fund Fund Balance 12/31/2019$2,000 $8,000 Hence, the fund balance at the end of 2019 will be $8,000.

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