What is the formula for midpoint rule?

Answers

Answer 1

The formula for midpoint rule is M =∑ n i = 1 f ( m i ) Δx.

In this equation, I represents the ith rectangle, n the number of rectangles that comprise the area under the curve, f (m I) the function of the curve as defined by the ith rectangle's midpoint, and x the width of each rectangle. In calculus, the midpoint formula may be used to estimate the same area on an x-y plot. It is necessary to give an interval with a lower and upper border where the computed area will begin and stop, as well as the number of units, or subintervals, that the interval will be divided into when computing the area under the curve of a function. More rectangles enhance estimation precision (n).

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Related Questions

Mia has $20 less than Brandi. Brandi has d dollars. Write a variable expression for the amount of money Mia has.

Answers

Answer: d-20

Step-by-step explanation:

if Mia has $20 less than Brandi, it means Brandi has d dollars, so we subtract Brandi 's money from $20.hope you understood.

Match each system on the left with all words that describe the system on the right. Choices on the right can be used more than
once.
y = 3x - 1
2y - 6x = 4
2y = -x + 6
4y + 2x = 12
y = 2x + 3
x+y=-9
inconsistent
consistent
independent
dependent

Answers

So on solving the provided question we cans say that in the following linear equation values are y = -1, -3 , 3

What is a linear equation?

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

here ,

as we know that x = 0

so, y = 3x - 1 = -1

2y - 6x = 4 => y = 2

2y = -x + 6 = y = 3

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Solve |10x + 50| = 0.

Answers

Answer:

x = -5

Step-by-step explanation:

Now we have to,

→ find the required value of x.

The equation is,

→ |10x + 50| = 0

Then the value of x will be,

→ |10x + 50| = 0

→ 10x + 50 = 0

→ 10x = 0 - 50

→ 10x = -50

→ x = -50/10

→ [ x = -5 ]

Hence, the value of x is -5.

Expand and combine like terms.
(9c^2+c^6)(9c^2-c^6

Answers

Answer: -c^12+9c^4

Step-by-step explanation:

Answer: 81 c^4 - c^12

Step-by-step explanation:

(9c^2+c^6)(9c^2-c^6)

Step-by-step explanation: (9c^2+c^6)(9c^2-c^6)

This is the difference of squares

(a+b) (a-b) = a^2 - b^2

(9c^2) ^2 - ( c^6)^2

81 c^4 - c^12

If B is the midpoint of AC and AB = 5 Find BC and AC.

Answers

The length of BC is 5

The length of AC is 10

Midpoint of a line: Calculating length of a line

From the given information, we are to calculate the length of the given parts of line AC

From the given information,

B is the midpoint of AC

Thus,

We can write that

AB + BC = AC

and

AB = BC

Also, from the given information,

AB = 5

Therefore,

BC = 5

From the equation,

AB + BC = AC

Substitute the values of AB and BC

5 + 5 = AC

10 = AC

AC = 10

Hence, BC = 5 and AC = 10

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3. Give two examples of four-sided figures that have two acute angles
and two obtuse angles. Draw pictures in your explanation.

Answers

Answer:

follow me if this helped

Step-by-step explanation:

A kite is a four-sided figure that has two acute angles and two obtuse angles. The angles are formed by the intersection of the diagonals, which are not parallel.

[asy]

size(5cm);

draw((0,0)--(1,1.5)--(3,1)--(2,-0.5)--cycle);

draw((1,1.5)--(2,-0.5));

label("$A$",(0,0),SW);

label("$B$",(1,1.5),NE);

label("$C$",(3,1),SE);

label("$D$",(2,-0.5),NW);

[/asy]

A bow tie shape is another four-sided figure that has two acute angles and two obtuse angles. The angles are formed by the intersection of the diagonals, which are not parallel.

[asy]

size(5cm);

draw((0,0)--(1,1.5)--(2,0)--(1,-1.5)--cycle);

draw((1,1.5)--(1,-1.5));

label("$A$",(0,0),SW);

label("$B$",(1,1.5),NE);

label("$C$",(2,0),SE);

label("$D$",(1,-1.5),NW);

[/asy]


Given the figure at right.
Find the sum of angles
1, 2, and 3.

Answers

I am pretty sure it is 420 degrees

Calculate the total water use in Spain if the per capita water use is 810m ^ 3 and the population of Spain is 46.5 million

Answers

Total water use in Spain = 810m^3 x 46.5 million = 37,425,000,000 m^3. it is important to be aware of the amount of water used in order to understand and mitigate any potential negative impacts.

1. Given that the per capita water use is 810m^3 and the population of Spain is 46.5 million.

2. Calculate the total water use by multiplying the per capita water use by the population of Spain.

3. Total water use in Spain

= 810m^3 x 46.5 million = 37,425,000,000 m^3

The total water use in Spain is calculated by multiplying the per capita water use (810m^3) by the population of Spain (46.5 million). This yields a total water use of 37,425,000,000 m^3. This number indicates the volume of water used in Spain annually by its citizens. Water use can have a variety of impacts on the environment, such as depletion of water resources, and it is important to be aware of the amount of water used in order to understand and mitigate any potential negative impacts.

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Solve each system by graphing

Answers

As a result, the graph illustrating how one face's side width and diameter are linearly associated is the resolution to the given linear equation problem.

A linear equation is exactly what?

One degree is the highest number of levels that can be employed in a linear model. Nonlinearity is the property of any equation having a theoretical extent of at least two. On a map, there is a horizontal line with a straightforward equation. The graph shows the curve that a nonlinear equation produces.

Here,

the side lengths and perimeter of one face are linearly connected.

formula for lines

A regular model is described by the equation y = mx + b.

If b is in fact the y intercept and m is the changing rate, then y and x are variable.

One face's length and perimeter have a linear relationship, as seen by the graph.

As a result, the graph illustrating how one face's edge length or perimeter are linearly associated is the answer to the given linear equation problem.

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Challenge You have 2 different savings accounts. For Account​ A, the simple interest earned after 6 months is ​$4.88. For Account​ B, the simple interest earned after 27 months is ​$24.75. If the interest rate is 3.9​% for Account A and 2.2​% for Account​ B, how much is the principal in each​ account? Which account earned you the most interest the first​ month? Explain your answer.

Answers

The principal of account A is $250.26

The principal of account B is $500

The account that would  earn you more interest in the first month is account B

What are the principals?

Simple interest is the interest earned on an amount of money in a savings account.

Simple interest = principal x time x interest rate

Principal is the amount deposited

Principal = simple interest / ( time x interest rate)

Principal of account A = 4.88 / (6/12 x 0.039) = $250.26

Principal of account B = 24.75 / (27/12 xx 0.022) =$500

Interest earned in the first month:

Account A =  (1/12) x 250.26 x 0.039 = .81

Account B =  (1/12) x 500 x 0.022 =0.92

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I’ll give brainliest :)
Write the rule for the linear function

Answers

Answer:

y = f(x) = a + bx

Step-by-step explanation:

Step-by-step explanation: A linear function is a function of the form f(x) = ax + b, where a and b are real numbers. Here, a represents the gradient of the line, and b represents the y-axis intercept (which is sometimes called the vertical intercept).

Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).

Answers

The true statements about the function and its graph are:

The graph of the function is a parabola.

The graph of the function opens up.

The graph contains the point (0, 12)

What is the quadratic function?

A quadratic function is a type of polynomial function of degree 2. It is defined as a function of form f(x) = ax² + bx + c, where a, b, and c are constants and a is not equal to 0. The graph of a quadratic function is a parabola, which is a U-shaped curve that opens up or down, depending on the value of the coefficient a.

The value of f(–10) = x² - 5x + 12 = (-10)² - 5(-10) + 12 = 100 - (-50) + 12 = 62, not 82.

The graph of the function is a parabola.

The graph of the function opens up.

The graph of the quadratic function is a parabola that opens up or down, which depends on the coefficient of x². If the coefficient of x² is positive, the parabola opens up, if it is negative, the parabola opens down. In this case, the coefficient of x² is positive, so the parabola opens up.

The graph contains the point (0, 12)

The graph does not contain the point (20, -8) since the x-coordinate is outside the domain of the function.

Hence,  The true statements about the function and its graph are:

The graph of the function is a parabola.

The graph of the function opens up.

The graph contains the point (0, 12)

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6 times a number plus 15 is equal to 6 times a number minus 41

Answers

The given statement as an expression is 6x + 15 = 6x - 41

How to represent the statement as an expression

From the question, we have the following parameters that can be used in our computation:

A mathematical statement

The mathematical statement is given as

6 times a number plus 15 is equal to 6 times a number minus 41

Represent the number with x

So, we have the following representation

6 times x plus 15 is equal to 6 times x minus 41

is equal to implies =

So, we have:

6 times x plus 15 = 6 times x minus 41

Plus implies +, minus implies - and times *

This gives

6x + 15 = 6x - 41

The question does not require that we solve the expression

So, we leave it at 6x + 15 = 6x - 41

Hence, the required expression is 6x + 15 = 6x - 41

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3
At a stream cleanup, the ratio of
adult volunteers to child volunteers
is 7:4. If 20 children volunteer, how
many adults are there?

Answers

Answer:

35

Step-by-step explanation:

a=adult c=children

7a:4c

?a:20c

20 is 5 times more than 4 which I found by doing 20/4

So now we multiply 7 by 5 to get 35

35a:20c

There are 35 adults

Sarah ued propertie of operation to write the following three equivalent expreion to

Answers

Sarah's error in the expression 3 so the correct answer is option D

Complete Question: Sarah used properties of operations to write the following three equivalent expressions to.

A. There are no errors. All of the expressions are equivalent.

B. Expression 1. Sarah can’t apply the Distributive Property if there are three addends.

C. Expression 2. Sarah can’t combine -4 and -6. She must combine -4 with 8.

D. Expression 3. Sarah applied the Distributive Property but incorrectly multiplied 1/2 (-6).

Expressions 1, and 2 are equivalent because they are using the distributive property to expand the term within the brackets before applying the 1/2 coefficient.

Expression 3 is not equivalent because it does not use the distributive property and does not have the same terms as the other expressions.

Sarah's error in expression 3 is that she did not use the distributive property and the terms inside the brackets are not the same as the other expressions, hence the results are different.

Therefore, Sarah's error in the expression 3 so the correct answer is option D

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two times the defference of a number and three

Answers

Answer: 2(x-3) would give you your equation.

To simplify: 2x - 6

How to get this: 2 is multiples by a number, but we do not know the number, therefore it is “x”. Difference means to subtract. So it is 2 times (multiply) the difference (subtract) of a number (x) and 3z

Is 16 a factor of 8?

Answers

No, number 16 is not representing as a factor of 8. The given statement is false as it is a multiple of 8.

As given in the question,

Given number is equal to 8,

Given factor is equal to 16:

Factors are those numbers which divides the given numbers without leaving any remainder. It exactly divides the given original number.

Here given factor 16 does not divides the given number 8.

Instead 8 divides the the number 16.

here '8' is the factor of the number 16.

And 16 represents as a multiple of 8.

Therefore, the given statement is false and 16 is not considered as a factor of 8 instead it is a multiple of 8.

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HELP HELP 15 POINTSSSSSS

Answers

Answer:

I believe B, E, and F is the answer

What is factor in Grade 8?

Answers

So on solving the provided question we can say  that factors 8 = 1,2,4,8 factor 20 = 1,2,4,5,10,20

what is prime factor?

Any natural number other than 1 with just itself and the number 1 as its divisors is considered a prime factor. Actually, 2, 3, 5, 7, 11, and so on are some of the first prime numbers. an amount that has been multiplied to produce another amount. By dividing 15 by 3 and 5, for instance, we get 3 5 = 15. main elements: Prime factors include all factors that are prime but are not composite. A few prime factors of 30 are 2, 3, and 5. Only 2 and 3 are prime factors of 12, so listing 2 twice as 2 2 3 (or 22 3) is necessary to factorize 12. The sum of 2 + 3 is not 12.

here,

factors 8 = 1,2,4,8

factor 20 = 1,2,4,5,10,20

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Write the quadratic equation in general form.
40x² = 30

Answers

The solution of the equation is x = [tex]\frac{\sqrt{3} }{2}[/tex] and - [tex]\frac{\sqrt{3} }{2}[/tex].

Now, According to the question:

What is Quadratic Equation?

The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of:

ax² + bx + c = 0

where x is the unknown variable and a, b and c are the constant terms.

The given equation is :

40x² = 30

40x² - 30 =0

Common factor:

10(4x²- 3) = 0

Divide both sides by the same factor

10(4x²- 3) = 0

4x²- 3 = 0

Use the quadratic formula:

x = -b±[tex]\sqrt{b^2-4ac}[/tex]/ 2a

Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula:

4x²- 3 = 0

a = 4

b = 0

c = -3

x =  -0±[tex]\sqrt{0^2-4(4)(-3)}[/tex]/ 2(4)

By simplify:

x = ±[tex]\frac{4\sqrt{3} }{8}[/tex]

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

x = [tex]\frac{4\sqrt{3} }{8}[/tex]

x = -[tex]\frac{4\sqrt{3} }{8}[/tex]

Rearrange and isolate the variable to find each solution

x = [tex]\frac{\sqrt{3} }{2}[/tex] and - [tex]\frac{\sqrt{3} }{2}[/tex]

Hence, The solution of the equation is x = [tex]\frac{\sqrt{3} }{2}[/tex] and - [tex]\frac{\sqrt{3} }{2}[/tex].

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solve for y 6/y+4=5/y-7

Answers

Y= -11


Explanation :

1)Subtract 5y from both sides
2)Combine 6y and -5y to get y
3)Subtract 4 from both sides
4)Subtract 4 from -7 to get -11

Given a pre-image and image, determine if the scale factor is greater than 1, less than 1, or equal to 1.
a. less than 1
b. greater than 1
c. equal to 1
*see attached image for the pre image and image

Answers

The scale factor is greater than 1.

Determine if the scale factor is greater than 1, less than 1, or equal to 1?The pre-image and image provided can be used to determine the scale factor between the two shapes.A scale factor is the ratio of the lengths of two corresponding sides of two similar figures.To determine the scale factor, the length of the two corresponding sides must be compared.Looking at the pre-image and image, it can be seen that the pre-image has a longer length than the image.This indicates that the scale factor is less than 1, as the length of the corresponding side in the image is shorter than the pre-image.To confirm this, the lengths of the corresponding sides must be compared.The pre-image has a length of 8 units and the image has a length of 6 units.The ratio of 8/6 is equal to 4/3, which is less than 1.Therefore, the scale factor between the pre-image and image is less than 1.

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What is the Sin(B)? Need help!

Answers

Answer:

Last option: 5/8

Step-by-step explanation:

sin(angle) = opposite / hypotenuse

So, sin(B) = 4/6.4 = 20/32 = 10/16 = 5/8

Hope this helps!

The corresponding data for electricity generated by hydropower are 248 million megawatt hours in 2007 and 277 million megawatt hours in 2012. Write a linear model that represents the number of megawatt hours generated by hydropower as a function of the number of years since 2007.

Answers

A linear model can be represented by the equation y = mx + b, where y is the dependent variable (megawatt hours generated by hydropower), x is the independent variable (years since 2007), m is the slope of the line, and b is the y-intercept.

To find the slope (m) and y-intercept (b) for this problem, we can use the two points given: (2007, 248) and (2012, 277).

m = (277 - 248) / (2012 - 2007) = 29 / 5 = 5.8

b = 248 - (5.8)(2007) = 248 - 11456 = -11208

So the linear model representing the number of megawatt hours generated by hydropower as a function of the number of years since 2007 is:

y = 5.8x - 11208

where x is the number of years since 2007.

At the craft tore, Anita bought a bag of yellow and green marble. The bag contained 70 marble, and 30% of them were yellow. How many yellow marble did Anita receive?

Answers

There are 21 yellow marbles anita receives

given that

In mathematics, a percentage (from Latin: per centum, "by a hundred") is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%",although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number (pure number); it has no unit of measurement.

The term "percent" is derived from the Latin per centum, meaning "hundred" or "by the hundred". The sign for "percent" evolved by gradual contraction of the Italian term per cento, meaning "for a hundred". The "per" was often abbreviated as "p."—eventually disappeared entirely. The "cento" was contracted to two circles separated by a horizontal line, from which the modern "%" symbol is derived.

at the craft store , Anita bought a bag of yellow and green marble

The bag contained 70 marble,

30% percentage of them were yellow.

now, we need to find How many yellow marble did Anita receive

= 70 * 30%

= 70 * [tex]\frac{30}{100}[/tex]

= 7 *3

= 21

There are 21 yellow marbles anita receives

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53 63 55 56 62 54 59 60 53 61 88 IQR

Answers

The interquartile range (IQR) of this dataset is 8.25, it means that half of the observations fall between 53 and 61.25, while half of the observations fall outside of that range.

IQR stands for Interquartile Range, which is a measure of the variability of a dataset. It is defined as the difference between the third quartile (Q3) and the first quartile (Q1). To calculate the IQR, you first need to order the data set and find the median (middle value) of the dataset, and the Q1 and Q3.

Here is the dataset you provided, in order:

53 53 53 54 55 56 59 60 61 62 63 88

The median of the dataset is: (56+59)/2 = 57.5

Q1 is the median of the lower half of the dataset: (53+53+54)/3 = 53

Q3 is the median of the upper half of the dataset: (60+61+62+63)/4 = 61.25

Now you can calculate the IQR:

IQR = Q3 - Q1 = 61.25 - 53 = 8.25

So the interquartile range of this dataset is 8.25, it means that half of the observations fall between 53 and 61.25, while half of the observations fall outside of that range.

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The correct question should be:

"Find the interquartile range (IQR) of the following dataset

53 53 53 54 55 56 59 60 61 62 63 88"

The temp this week is increasing by 8 deg each day. How much has the temp risen after three weeks?

Answers

Answer:

168 deg

Step-by-step explanation:

Assuming the increase in temperature in constant during the 3 weeks, we do the following calculations-

8 deg * 7 = 56 deg / week (Since there are 7 days in a week)

56 * 3 = 168 deg in 3 weeks.

PLEASE HELP
This graph shows a proportional relationship.

What is the constant of proportionality?

Enter your answer in the box.

Answers

The constant of proportionality of the graph is 12.

How to find the constant of proportionality?

Proportional relationships are relationships between two variables where their ratios are equivalent. In other words, a proportional relationship is one in which two quantities vary directly with each other.

Proportional relationship can be represented mathematically as follows:

y = kx

where

k = constant of proportionality

Therefore, let's use (3, 36) to find the constant of proportionality.

Hence,

y = kx

36 = 3k

divide both sides by 3

3k / 3 = 36 / 3

k = 12

Therefore, the constant of proportionality is 12.

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solve for u.
2u + 2.17 = 16.17

Answers

Answer:

[tex]\boxed{\bf u=7}[/tex]

Step-by-step explanation:

[tex]\sf 2u+2.17=16.17[/tex]

Subtract 2.17 from both sides:-

[tex]\sf u+2.17-2.17=16.17-2.17[/tex]

[tex]\sf 2u=14[/tex]

Divide both sides by 2:-

[tex]\sf \cfrac{2u}{2}=\cfrac{14}{2}[/tex]

[tex]\sf u=7[/tex]

Therefore, u = 7

______________________

Hope this helps!

Have a great day!

What is the answer please im confused

Answers

Answer:

40

Step-by-step explanation:

total: 56+80+40+24 = 200

(80x100)/200

Answer:

What you first want to do is see what all of the numver of students add up to:

80 + 40 = 120

120 + 24 = 144

144 + 56 = 200

So there are a total of 200 votes. 40 of the 200 vote mystery, so you need to find how many times 40 will go into 200. To find this you can just divide.

200/40 = 5

5% prefer mystery books!

Step-by-step explanation:

Hope it helps! =D

I think I did the math wrong, but just by looking Im pretty sure its 5%

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