respond to the following in a minimum of 175 of your own words: how would you explain the differences between the trapezoidal rule and simpson's rule to a first-year student majoring in math? what do these rules solve? what are the error limits of each method? under what circumstances would you use one method instead of the other?

Answer:

84.42

Step-by-step explanation:

21 times 4.02

= 84.42

Answer: $84.42

Step-by-step explanation:21x 4.02

Answer:

1/8

Step-by-step explanation:

(3/4)÷6

3/24

1/8

Answer:

267.948

Step-by-step explanation:

But looking at the question, it wants us to convert feet to kilometers and seconds to hours. First let's start with feet, 1 foot is equal to about .305 meters. Okay we can set up an equation to find out  what we should do so since its asking us to convert 245 feet into meters. We need to put the units in it for this. We need to get rid of the feet and replace it with meters. The only way to get rid of the feet is dividing it by feet. However, we are also trying to put it into meters. As I wrote earlier, 1 foot is equal to .305m so we can just plug it in. The ft cancel out and all we need to do is just multiply. Since 1 feet is .305 meters, we can just multiply 245 by .305 to get 245 feet in meters. It would be about 74.73. Okay, we have it in meters, but it is asking for kilometers. We need to do the same process again. We should remember that 1000 meter are in 1 kilometer. We need to convert the meters into kilometers then seconds into hours. We can use the same process here. The unit you are cancelling out always has to be on the bottom. Okay, that just leaves 74.43 x (1/1000), or it can be just 74.43/1000 and both are the same thing. You're trying to get feet into kilometers, so the number should be pretty small. There are 1000 meters in 1 kilometer, so you need to divide the meters by 1000 to put it into kilometers. That's basically what we are doing here but with units. That comes out to be .07443, not our final answer though. We just need to convert seconds to hours which is easy. We know that 60 seconds is in a minute and 60 minutes are in the hour. Now we just need to multiply these 2 together. 60 x 60 = 3,600. If we look at the question its saying kilometers per hour. So we have to divide the kilometers by the 3600. 3600 seconds is equal to 1 hour and .07443 km is still in per second since we didn't change it. 3600 has to be on top because we have to cancel out the units. This is why I put the units. Okay that just leaves .07443 x 3600. When we solve .07443 x 3600 we would get our final answer. (Remember the steps: we first converted feet into meters, then into kilometers. then we converted seconds into hours)

.07443 x 3600 = 267.948 Therefore our final answer is 267.948.

The measure of ∠B = 189°

Here it is given that

∠A = (5x + 24)° and ∠B = (6x - 5)°

∠A and ∠B are vertical angles

Since vertical angles are always equal so

      ∠A = ∠B

5x + 24 = 6x - 5

add +5 on both sides, we get

5x + 24 + 5 = 6x - 5 + 5

     5x + 29 = 6x

add -5x on both side, we get

   5x - 5x + 29 = 6x - 5x

   x = 29

Now put the value of x in 6x - 5

6 × 29 - 5 = 189

The measure of ∠B = 189°

According to the vertical angle theorem, the vertical angles that are created when two lines intersect are congruent. There are equal amounts of vertical angles. For instance, if a, b, c, and d are the four angles created by two intersecting lines and a, b, and c are vertically opposed to d and c, respectively, then a, b, and c are congruent to d.

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Speed is the constant of proportionality for the relationship between distance and time.

Relationship between these two values is distance is directly proportional to time .

As given,

Distance =400 kilometers

Time=8 hours

Let s, d, and t represents speed, distance and time.

Speed = d / t

           = 400/8

           = 50 km/ hour

           = constant

Hence ,

d = 50t

⇒ d ∝ t

Therefore, speed is the constant of proportionality for the relationship between distance and time.

Relationship between these two values is distance is directly proportional to time .

The complete question is:

An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. using for distance in kilometers and for number of hours, an equation that represents this situation d=50t.

What are two constants of proportionality for the relationship between distance in kilometers and number of hours? What is the relationship between these two values?

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Answer :                                                                                                              500,000                                                                                                                       450,000                                                                                                                        453,000                                                                                                                                       452,900                                                                                                                                         452,910                                                                                                                                                                                                                                                                                step-by-step explanation:

look to the right one digit of the place they are asking to round . if it is either greater than or equal to5, then you round up the place they want. if it is not, then it says the same. then all he number to right of it becomes 0s.

After solving we get that 7 greater than 15 multiplied by 2 is indeed 37.

Follow the PEMDAS/BODMAS (Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction) sequence of operations to solve this problem:

1. Begin by performing a multiplication operation: 2 times 15 results in 30.

2. To get the answer to the multiplication, add 7: 30 + 7 = 37.

Therefore, multiplying 7 by 2 and adding 15 is equivalent to 37.

The steps are broken down as follows:

Step 1: 15 × 2 = 30

Step 2: 30 + 7 = 37

The answer is 37 since 7 is more than 15 when multiplied by 2.

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Answer:

8x + 3y = 369

10x + 10y = 780

Step-by-step explanation:

x = small bookshelves

y = large bookshelves

8x + 3y = 369

10x + 10y = 780

Answer:

56247,89

Step-by-step explanation:

12800

Step-by-step explanation:

you should find 6 percent on 32000 and multiply it by 10 to see the value it lost in 10 years then subtract that from 32000 for the final answer :)

To establish whether findings from a sample may be extrapolated to the entire population, we use inferential statistics.

A population is the total group about which you want to reach conclusions. A sample is the specific group from which you will collect data. Always, the sample size is less than the whole population. The term "population" in research rarely refers to people. Using an office as an example, all of the employees would represent the Population, and all of the managers would represent the Sample. To create a comparison, picture your population as an ocean, and your sample as an aquarium.

Inferential statistics is a branch of statistics that uses data to draw inferences and generalizations about a certain situation or fact.

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Using the diameter concept, we have that the correct option is given by:

The ball will fit, because its diameter is approximately 1 cm shorter than the side of the box.

The diameter of a circular or spherical object is the largest distance that can be formed between two parallel lines to it's boundary, hence, basically, the lateral distance occupied by the object.

For this problem, the diameter is in inches, while the available box is in cm, hence we have to convert the diameter to cm.

Each inch has 2.54 centimeters, hence the diameter of ball is of 9.55 x 2.54 = 24 (approximately) < 25, hence it will fit and the correct option is given by:

The ball will fit, because its diameter is approximately 1 cm shorter than the side of the box.

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Answer:

Step-by-step explanation:

8).

Given,

For no. Of shirts = 10, price per shirt = $9

For no. Of shirts = 25, price per shirt = $8.40

.

Linear equation be,

y = mx + b

x 10 25

y 9 8.4

9 = 10m + b  (i)

8.4 = 25m + b (ii)

Now,

(i) 9 = 10 m + b  b = 9 - 10m

(ii)  8.4 = 25m + b 8.4 = 25m + 9 - 10m

8.4 - 9 = 15m m = -0.6/15 = -0.04

m = - 0.04

b = 9 - 10m = 9 - 10(-0.04) = 9+0.4 = 9.4

b = 9.4

The linear equation,

y = mx + b

y = -0.04x + 9.4

Diameter = GK

Radius= JL

Chord= HI

JL=3

A circle is a fundamental 2D form whose radius is quantified. The interior and exterior parts of the aircraft are separated by the circles. It is similar to the type of line segment. Consider the line segment being bent till the ends meet. Make sure the loop is perfectly circular by arranging it.

A two-dimensional figure with an area and perimeter is a circle. The distance around a circle, or its circumference, is also known as its perimeter. The area of a circle is the area that it surrounds on a 2D plane.

radius = diameter /2

Diameter = GK

Radius= JL

Chord= HI

Since radius is half of diameter,

So, JL =GK/2 =6/2

                        = 3

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Answer:

x = 20

Step-by-step explanation:

Hello!

Solve for x by isolating the variable.

The value of x is 20.

So you know that a pound of rice crackers cost $42.88. You also know that Jacob bought 1/4 or 25% or 0.25 of a pound. This means that by multiplying 0.25 by $42.88, you can determine the cost.

0.25 x 42.88 = 10.72

Therefore, Jacob paid 10.72 cents or $10.72 for 1/4 pound of rice crackers

The price of a banana is 0.71 (after round off) USD per pound.

Here the price of a banana in Mexico was 34 pesos per kilogram.

price of a banana in Mexico = 34 pesos per kilogram

We are provided with the following information,

1 kg = 2.205 pounds,

and 1 Peso = 0.04574USD

We have to find the price in USD per pound,

So we have,

=(34 × 0.04574 )÷ 2.205

= 0.7105 USD per pound

= 0.71 USD per pound   (after round off)

Therefore the price of a banana in UDS per pound is 0.71 ( after round off) .

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Answer:

everything is going to beat

Answer:

8(n+5)=5-n

Step-by-step explanation:

First it says "the product of". A product is formed when you multiply two numbers or expressions. The word "and" is used to divide the two items being multiplied. So "The product of 8 and ---" means that you are multiplying 8 and what ever follows the "and" in the problem, in this case it is "the sum of a number and 5". Since what follows the "and" is another expression, it would be written in parentheses. To this point we have: 8 * ( ?? ), where the ?? replaces the expression.

The words "the sum" means that we are adding two numbers or expressions. As with multiplication, "and" separates the two addends. The first addend in the sum is "a number" - thus we know it isn't another expression and that we need to use a variable, because we aren't told the number. You can choose any letter or figure for your variable name, so lets call it "n". The part following the "and" is the number 5. Putting it together results in (n + 5), which will now be combined with the 8 * in the product, resulting in 8 * (n + 5).

The next thing that comes in your problem is "results in". This means "is equal to" and may also be written "is". Mathematical replacement is "=". Following the "=" is another expression: "the difference between 5 and the number". A difference is subtraction and, again, the "and" represents the break between the two values. The first number is 5 the second number is "the number" meaning the same number as before, so we use the same variable. The "difference between 5 and the number" is written: 5 - n

Putting it all together: "The product of 8 and the sum of a number and 5results in the difference of 5 and the number." Translates into math as:

Answer:

5th - 13

6th - 20

7th - 27

8th - 34

Step-by-step explanation:

You add seven

By using subtraction, Brenda needs an additional amount of $ 182.75 for the school trip.

In this question we notice that Brenda is aware of how much money she needs to make her school trip and besides we find a table with all the money saved during a 4-month period. Lastly, we must determine if the amount of money saved by Brenda is sufficient or not.

The money needed for the school trip is:

y = $ 197 + $ 230 + $ 85

y = $ 512

And the money saved by Brenda is:

x = $ 67 + $ 30.50 + $ 160 + $ 71.75

x = $ 329.25

Then, the additional money needed for Brenda is found by subtacting the second result from the first result:

z = y - x

z = $ 512 - $ 329.25

z = $ 182.75

Brenda needs an additional amount of $ 182.75 for the school trip.

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The area in square feet that will be added to the garden is 44 square feet.

Length of square garden = 8 feet

Area of Square garden = [tex](side)^{2}[/tex] = [tex](8)^{2}[/tex] = 64 square feet

On enlarging the square to a rectangle, length rectangular garden is (8+4)feet i.e.,12feet and width of rectangular garden is (8+1)feet i.e.,9feet.

Area of rectangular garden = (length × width)

                                              = (12 × 9) square feet

                                              = 108 square feet

The area in square feet that will be added to the garden = (Area of rectangular garden - Area of Square garden)

= (108 square feet - 64 square feet)

= 44 square feet

The area in square feet that will be added to the garden is 44 square feet.

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Answer:

-13.6

Step-by-step explanation:

Use the keep change change method when subtracting negative number. So, it would look like this: -6.4 + -7.2 = -13.6.

After adding them, just add a negative sign in front of your answer since you're adding two negative numbers.

Let me know if you don't understand or need more explanation.

Answer:

The answer is A

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

a = -14

Step-by-step explanation:

4(x-3)=5x+2

distribute the 4 to what is inside the parenthesis by multiplying

4x-12=5x+2

add 12 to both sides

4x=5x+14

subtract 5x from both sides

-x= 14

x= -14

therefore the answer is A. i hope this explanation helps and if you have any questions feel free to ask!

Answer:

Step-by-step explanation:

Lets see here, this question is a bit confusing to understand, But Ill work at it for you ^^

So at that first line that says ones, you are going to want the middle lint horizontal on that vertical line to be labeled 5.

Slightly above that, more near to the top you are going to want to write 85.

On the second Line drawn you are going to want to label the middle horizontal line 4

Above that, near the top write 854

The rounded number of 8.546 Would Be 9, Because since the tens place is a 5, you round up a number.

for question 3. a

the answer would be   18.4 if you round to the tenths, or 18.39

This is because the number in the thousands place is a 6, and thats 5 or above so you round the hundreths up 1 to become 9, and 9 is 5 or above so the 3 would become a 4(only if rounding to the tenths!!)

For question 3. b

1 meter = 100 centimeters, so we would multiply 18.386 by 100

That would shift the decimal point to the right 2 places (if you don't want to have to do the multiplying, rule of thumb is one 0 shifts one place to the right, you shift however many places as there are zeroes)

This would give us 1838.6 centimeters.

And I cant read question 4(sorry)

Hope this helps!!

Answer:

a₁ = - 11 and d = 3

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

given S₄₀ = 1900 , then

S₄₀ = [tex]\frac{40}{2}[/tex] [ 2a₁ + 39d ] = 1900 , that is

20(2a₁ + 39d) = 1900 ( divide both sides by 20 )

2a₁ + 39d = 95 → (1)

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

given a₄₀ = 106 , then

a₁ + 39d = 106 → (2)

subtract (2) from (1) term by term to eliminate d

a₁ + 0 = - 11 , so

a₁ = - 11

substitute a₁ = - 11 into (2) and solve for d

- 11 + 39d = 106 ( add 11 to both sides )

39d = 117 ( divide both sides by 39 )

d = 3

Step-by-step explanation:

it grows exponentially.

a negative exponent like

n^-a

means only

1/(n^a)

-3 1/3³ = 1/27

-2 1/3² = 1/9

-1 1/3¹ = 1/3

0 3⁰ = 1

1 3¹ = 3

2 3² = 9

3 3³ = 27

so, 3^x comes from very small but positive values, and grows very fast (much faster than x itself and with ever increasing speed hence "exponentially") to very large and still positive numbers.

Let the number of sweets Mrs. Chua has be x

And the number of children be y

So,

x-8y=3 ------- 1️⃣

x-9y= -2 ------- 2️⃣

Change the signs of equation 2️⃣

x-8y=3

+x-9y=-2

- + +

__________

Substitute equation 3️⃣ in equation 1️⃣ :

[tex] \sf \: x - 8y = 3[/tex]

[tex] \sf \: x - 8 \times 5 = 3[/tex]

[tex] \sf \: x - 40 = 3[/tex]

[tex] \sf \: x = 3 + 40[/tex]

[tex] \tt \: x = 43[/tex]

Therefore, The total number of children i.e. y is 5 and the total number of sweets Mrs. Chua i.e. x is 43...