Use (a) the Midpoint Rule and (b) Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) Compare your results to the actual value to determine the error in each approximation.∫2 to 0 x/(1+x^2) dx, n=10

Answer:

First choice

Step-by-step explanation:

It gives you the endpoints of the included side, F and R. Therefore, the side is FR or RF.

Answer:

5w

Step-by-step explanation:

5*w

5w

Answer:

5w or x=5w

Step-by-step explanation:

In an algebraic expression, there is a coefficient(5) and a variable(w)

The product of 5w is x , so the expression can be 5w which implies the x product, or it can be x=5w which is the complete expression.

Answer:

The slope is 5/6

Step-by-step explanation:

To calculate the slope here, there are two ways.

Count the rise over run with the boxes

Or

Find Any 2 points and use y2-y1/x2-x1 to find slope

Both ways work.

For this graph Since it looks pretty basic, I‘ll use the rise over run technique

Now we start from the origin side that is where one point is and just rise vertically until I reach a point and when I do, just run that many steps.

So I reached till 5 and ran to 6 which is a  point on the coordinate graph

So to put it in slope form, it’s rise over run

Heres a easy way to remember it

lets say you wake up, you have to rise first and then run

You can’t run and then rise, that makes no sense

So here its rise 5 and run 6

so 5/6 is the slope

Answer:

Step-by-step explanation:

From the picture attached,

If ΔPRQ ~ ΔPTS,

By the property of similar triangles,

Corresponding sides of the similar triangles are proportional.

\(\frac{PR}{PT}= \frac{PQ}{PS}\)

\(\frac{7.5+4.5}{4.5}= \frac{20}{7.5}\)

\(\frac{12}{4.5}=\frac{20}{7.5}\)

\(\frac{120}{45}= \frac{200}{75}\)

\(\frac{8}{3}=\frac{8}{3}\)

By the converse of similar triangles,

If two triangles ΔPRQ and ΔPTS are similar, sides ST and QR will be parallel.

Answer:

8x+5=133

8x=128

x=16

Step-by-step explanation:

16 books

Answer:

He bought 16 books

Step-by-step explanation:

cost = flat fee + books * cost per book

133 = 5 +b*8 where b is the number of books

133 = 5+8b

Subtract 5 from each side

128 = 8b

Divide each side by 8

128/8 = 8b/8

16 = b

He bought 16 books

Answer:

-5x + 13xy -7

Step-by-step explanation:

trinomial means 3 terms

degree 2 means the highest power  of the variables when added together is 2

constant -7 means  the constant is -7

-5x + 13xy -7

3 terms

xy = degree 2

-7 is the constant

Hi, I'm cookie monster:

A trinomial is an expression with 3 terms, so we can eliminate choice C and D right away. A degree is the highest exponent in the expression and there isn't even an exponent of 2 in choice B. So, Choice A is corrrect.

Now, I better eat some more cookies before I eat my computer.

Answer:

1/36

Step-by-step explanation:

6^-1 is the same as 1/6,

1/6^2 is 1/36

Answer:

1/36

Step-by-step explanation:

have a good semester

Answer:

Step-by-step explanation:

-the angles need to add to 90° because they have to e complementary

- the cofunctions come in pairs (sin and cos, tan and cot, sec and csc)

for sin 7°

we know that function sin is paired with cos , and that the angles needs to add to 90° so we have 7° + 83° =90°

sin 7° = cos 83°, cos 83° is a cofunction of sin 7°

Answer:

2923.34 is the exact answer

Step-by-step explanation:

you should detect which one in the hypothenus!!

Answer:

84 cm²  and 272 cm² (3 sf)

Step-by-step explanation:

Use Heron's formula.

Area = \(\sqrt{p(p-a)(p-b)(p-c)} \)

where a, b, and c are the lengths of the sides of the triangle

and \(p=\frac{a+b+c}{2} \)

(i)   \(p=\frac{13+14+15}{2}=21 \)

Area = \(\sqrt{21(21-13)(21-14)(21-15)} = 84\) cm²

(ii)   \(p=\frac{103+115+13}{2}=115.5\)

Area = \(\sqrt{115.5(115.5-103)(115.5-115)(115.5-13)} = \frac{ \sqrt{1183875}}{4} =272\) cm² (3 sf)

Answer:

It is the distribution of the statistic if we were to draw all possible samples of a given size from the population and calculate the statistic for each sample.

Step-by-step explanation:

The sampling distribution of a statistic refers to the range of all possible sample values of the statistic that could be drawn from the parent population under the specified sampling plan.

In other words, it is the distribution of the statistic if we were to draw all possible samples of a given size from the population and calculate the statistic for each sample.

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Answer:

where are the answer choices

Step-by-step explanation:

Answer:

Graph A

Step-by-step explanation:

a. The mean of the sample can be found by summing up all the observations and dividing by the sample size:

mean = (33 + 26 + 29 + 35 + 31 + 35 + 31) / 7 = 31.14

c. To find the p-value, we need to find the area under the t-distribution curve with 6 degrees of freedom to the left of -1.31 and to the right of 1.31.

What is statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data.

a. The mean of the sample can be found by summing up all the observations and dividing by the sample size:

mean = (33 + 26 + 29 + 35 + 31 + 35 + 31) / 7 = 31.14

The standard deviation of the sample can be found using the formula for the sample standard deviation:

s = sqrt[Σ(xi - x)² / (n - 1)]

where Σ is the sum, xi is each observation, x is the sample mean, and n is the sample size. Substituting in the values from the sample:

s = sqrt[((33-31.14)² + (26-31.14)² + (29-31.14)² + (35-31.14)² + (31-31.14)² + (35-31.14)² + (31-31.14)²) / 6]

= 2.98 (rounded to 2 decimal places)

b. We can use a t-test since the population standard deviation is not known. The test statistic is given by:

t = (x - μ) / (s / sqrt(n))

where x is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size. Substituting in the values:

t = (31.14 - 30) / (2.98 / sqrt(7)) = 1.31 (rounded to 2 decimal places)

c. To find the p-value, we need to find the area under the t-distribution curve with 6 degrees of freedom to the left of -1.31 and to the right of 1.31. Using a t-table or calculator, we find that the area to the left of -1.31.

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Equality Properties

Step 1: Define

Identify the equation and what we are finding.

Equation: 6u = 22 - 5u

Solving for: u

Step 2: Solve

∴ the value of u in the equation 6u = 22 - 5u is u = 2.

___

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Topic: Algebra I

Unit: Solving Equations

*Note: Experimental Format

The height of the parallelogram is equal to 20 meters.

In Mathematics and Geometry, the area of a parallelogram can be calculated by using the following formula:

Area of a parallelogram, A = b × h

Where:

By substituting the given parameters into the formula for the area of a parallelogram, we have the following;

Area of a parallelogram, A = b × h

1000 = 50 × h

Height, h = 1000/50

Height, h = 20 meters.

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Line passing through AB is perpendicular. A pair of angles that are linear have an angle sum of 180 degrees. The lines are therefore shown to be perpendicular to one another because the angles are 90 degrees in size.

Two lines intersect to generate perpendicular lines, and the angle formed between the two lines must be 90 degrees (right angle).

Given,

Create another line perpendicular to AB passing through C on AB..

Line passing through AB is perpendicular.

Two lines are perpendicular if they cross at a point where a pair of linear congruent angles results. In a plane, a transversal is perpendicular to the other line if it is parallel to one of the two parallel lines.

A pair of angles that are linear have an angle sum of 180 degrees. The lines are therefore shown to be perpendicular to one another because the angles are 90 degrees in size. The linear pair perpendicular theorem is demonstrated by this.

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To determine Km from a double-reciprocal plot, you would choose option (A) which is to multiply the reciprocal of the x-axis intercept by -1.

In the double-reciprocal plot equation, the x-axis intercept is -1/Km, and the y-axis intercept is 1/Vmax. Therefore, if you take the reciprocal of the x-axis intercept, you get -Km, and multiplying it by -1 gives you Km.

This method is preferred because it is more accurate than estimating Km based on the position of the curve on the plot or by taking the x-axis intercept where V0 = 1/2 Vmax, which can be influenced by experimental error.

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According to the given dot plot there are 18 students in the class.

3. From the given dot plot, we can see there are 18 students in the class.

4. In the class there are 18 students, survey is done on what kind of music each student like and what kind of Music CDs each student brought.

Therefore, according to the given dot plot there are 18 students in the class.

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Yes, the function f(x) = x / (x + 2) satisfies the hypotheses of the mean value theorem on the given interval [1, 4]. This is because f is continuous on [1, 4] and differentiable on (1, 4).

Given f(x) = x/ x + 2

We are asked to check whether the function satisfies the hypotheses of the mean value theorem on the given interval [1, 4].

Mean Value Theorem: If f(x) is continuous on the closed interval [a, b] and is differentiable on the open interval (a, b), then there exists a number c in (a, b) such that: f(b) − f(a) / b − a = f'(c)

For the given function, we have the interval [1, 4]. The function is continuous on [1,4].

Also, the function is differentiable on (1,4).

Therefore, the given function satisfies the hypotheses of the mean value theorem on the given interval [1, 4]. Hence, the correct option is Yes, f is continuous on [1,4] and differentiable on (1,4).

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In an isosceles triangle, two of the angles are congruent, which means they have the same measure. Let x be the measure of each of the congruent angles. Then, we can use the fact that the sum of the angles in a triangle is 180 degrees to set up an equation:

x + x + 26 = 180

Simplifying and solving for x, we get:

2x + 26 = 180

2x = 154

x = 77

So each of the congruent angles in the triangle measures 77 degrees. Therefore, the other two possible angle measures are 77 degrees and 26 degrees.

Brainliest this answer if it helped!

Answer:

the percentage of student who failed r 14%

and their number is 84.

Answer:

- 5/9

Step-by-step explanation:

Step 1:

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

Step 2:

3 - 5x = 5 - 4x + 3

Step 3:

3 - 5x = 8 + 4x

Step 4:

3 = 8 + 9x

Step 5:

- 5 = 9x

Answer:

- 5/9 = x

Hope This Helps :)

The one that is a step used in the construction of an equilateral triangle inscribed in a circle  is:

B. draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter

The steps to construct an equilateral triangle inscribed in a circle are:

1. Draw a point that will be the center of the circle. Label this "point O". Technically, it doesn't matter which character you use to represent a point.

2. Draw a perfect circle centered at point O using a compass.

3. Use a ruler to draw a straight vertical line through point O. Extend this line beyond the boundaries of the circle. 4) Draw a point where the line and the circle intersect. Label the bottom point "Point W" and the top point "Point X".

5) Draw a second circle. The center of this circle is point W and the radius extends to point O.

6) Mark both places where the two circles intersect. Label the left point "Point Y" and the right point "Point Z".

7) Connect the points X, Y and Z with a ruler or straightedge. 

Looking at the options, the only correct step is:

B. draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter

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Answer:

38.8

Step-by-step explanation: 40% of a discount from the regular price of 97 dollars is 38.8

Answer:

316

Step-by-step explanation:

I got the question wrong and it gave me this answer lol

it seems that is wrong.sorry for that.

Answer: 111.1 m

Step-by-step explanation:

(30*2)/60 = 1 km ( the tunnel length is 1 Km.)

1 Km = 1000 m.

1000/9 = 111.1 m.