approximate the integral using the trapezoidal rule with ten equal subintervals, compute the error as follows. find the exact value of the integral (it must be a fraction): 4x 1

Answer:

8 multiplied by 5 equals 40.

8 is a factor of 40.

40 can be divided by 8 with no remainder.

Step-by-step explanation:

Answer:

scenario: GCF =15

15(30x+45 15+15)

15(2x+3) answers

Answer:

Step-by-step explanation:

10

Answer:

A

Step-by-step explanation:

half circle diameter = 9-(-1) =10

so perimeter = 2π r=20π =62.8

1/2 of it = 31.4

triangle 3 sides: 10, 4.5

10²+4.5² = long line's sqaure

so long line is 11

so perimeter for triangle without the line shared with semicircle = 11+4.5 =15.45

total =31.4+15.45 =46.85

120  multiplied by 56% equals 67.2 students.

The number 67 becomes the result of rounding to the nearest whole number, which is 67.2.

A collection of positive integers and zero, whole numbers are numbers without fractions. The set of integers are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,... and it is denoted by the sign "W". Whole Numbers: W = 0 through 10 (inclusive).

Absolute numbers those figures that contain zero and natural integers. neither a fraction nor a decimal. {0, 2, 3, 4, 5 6, 7, 8, 9,10, 11 …} Integer. A counting number, zero, or the negative.

The number of students who failed can be calculated by multiplying the total number of students by the percentage that failed:

120 students * 56% = 67.2 students

Rounding to the nearest whole number, 67.2 students becomes 67 students.

So, 67 students failed in the 6th grade.

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Answer:

Area of the composite figure is 516

Step-by-step explanation:

picture above

Answer: 3:2

Step-by-step explanation:

AB / BC = AB:BC

therefore,  6:4  

6:4 simplified -> 3:2

Answer:

[tex]600[/tex]

[tex] 6 \times {10}^{2} [/tex]

Answer:

The symbol W denotes the whole number. The symbol Z denotes integers. The symbol N denotes all natural numbers or all positive integers. The symbol R denotes real numbers or any numbers that are not imaginary

i think you mean this , i hope is help

The probability of drawing 2 successive red pens is [tex]\frac{1}{66}[/tex]

Probability is a branch of mathematics that deals with the likelihood or chance of an event happening. It is a number between 0 and 1 that indicates the likelihood of an event occurring, with 0 meaning that an event is impossible and 1 meaning that an event is certain to occur.

Probability is used to model and make predictions about real-world situations such as the outcome of a coin flip, the results of a survey, or the success of a marketing campaign. It is also used in many fields including statistics, finance, engineering, and sciences to make decisions based on uncertain data.

Probabilities can be calculated using various methods, such as counting, Bayes' theorem, and simulation. In general, the probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

The probability of drawing a red pen on the first draw is 2/12 = 1/6. After the first red pen is drawn, there is 1 red pen left in the bag, so the probability of drawing another red pen is 1/11.

Therefore, the probability of drawing 2 successive red pens is 1/6 * 1/11 = 1/66.

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Answer:

They are supplementary angles

Answer:

x = 13

Step-by-step explanation:

x² = 5² + 12²

x² = 169

x = √169 = 13

Answer:

C :minimum value of -4

Step-by-step explanation:

the curve is a u shape so its a minimum value

if its a n shape it wouldve been a maximum value

the curve goes on -4 so its -4

The coordinates of C’ if the trapezoid is reflected across the y-axis is

(- 5, 3).

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

Given:

A reflection through the axis and is given by the following transformation rule:

(x, y) -------> (-x, y)

We have the following point:

C = (5, 3)

Now, Applying the transformation rule we have:

(5, 3) -------> (-5, 3)

So, C' is given by:

C '= (- 5, 3)

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Based on the chord of a circle theorem, the length of Ef is: 33.

If the arcs of a circle have the same measurement, then their corresponding chords will also have the same measurement based on the chord of a circle theorem.

Therefore, since arcs CD and EF are congruent, then:

CD = EF

Substitute and find x:

-2x + 41 = 7x + 5

-2x - 7x = -41 + 5

-9x = -36

-9x/-9 = -36/-9

x = 4

Length of EF = 7x + 5 = 7(4) + 5

Length of EF = 33 units.

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Step-by-step explanation:

The covariance of two variables X and Y is a measure of the relationship between their changes. It is calculated as:

cov(X, Y) = (1/n) * sum((x_i - mean(X)) * (y_i - mean(Y)))

where n is the number of observations, x_i and y_i are the values of X and Y respectively for the i-th observation, mean(X) and mean(Y) are the means of X and Y respectively.

In Python, you can use the numpy library to calculate the covariance as follows:

import numpy as np

X = [x_1, x_2, ..., x_n]

Y = [y_1, y_2, ..., y_n]

cov = np.cov(X, Y)[0][1]

A measurement of the intensity and direction of the linear relationship between two random variables, X and Y, is called covariance. A definition of covariance is:

Cov(X, Y) is equal to E[(X - E(X))(Y - E(Y))].

where E[...] is the anticipated value operator and E(X) and E(Y) is the expected values of X and Y, respectively.

If Cov(X, Y) is positive, X and Y have the propensity to rise or fall together. Cov(X, Y) is a measure of the tendency for two variables to move in opposite directions. When Cov(X, Y) equals 0, X and Y are said to be uncorrelated.

You must be aware of the expected values as well as the joint probability distribution of X and Y in order to compute the covariance of X and Y.

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The temperature in Chicago at afternoon is 16 °F if Overnight, the temperature in Chicago was just 7°F. But by the afternoon, the temperature had risen 9°F.

What is relation between celsius to fahrenheit ?

The relation between celsius to fahrenheit  is (0°C × 9/5) + 32 = 32°F .

Given,

Overnight, the temperature in Chicago was just 7°F.

But by the afternoon, the temperature had risen 9°F.

So, given there was rise in the temperature

so,

the temperature in chicago could be = 7 + 9

= 16

Therefore, The temperature in Chicago at afternoon is 16 °F if Overnight, the temperature in Chicago was just 7°F. But by the afternoon, the temperature had risen 9°F.

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Answer:

x = 9/2, y = 15/4

Step-by-step explanation:

The line intersecting two distinct points on both sides of the triangle are parallel

So the corresponding angles are equal
Also, we have a common angle at point A
So, both the triangles are similar by AAA criteria

Now, the sides will be proportional as the triangles are similar
4/7 = 5/5+y = 6/6+x
Solving this, we get y = 15/4 units
and x = 9/2 units

The coordinates of the midpoint of line CD is (17, 21).

A midpoint is a point that is equidistant from the endpoints of a line segment. It is the point that is exactly halfway between the two endpoints of the line segment.

The midpoint of a line segment is found by taking the average of the x-coordinates and the y-coordinates of the endpoints of the line segment. The coordinates of the midpoint can be determined using the formula below.

midpoint (x, y) = (x₁ + x₂/2, y₁ + y₂/2)

If point C has coordinates (24, 16) and point D has coordinates (10, 26), then the midpoint is:

midpoint (x, y) = (24 + 10/2, 16 + 26/2)

midpoint (x, y) = (34/2, 42/2)

midpoint (x, y) = (17, 21)

Therefore, the midpoint of line CD has the coordinates (17, 21).

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If ln(x) = 3.23 , the value of x is 25.28.

Therefore the answer is 25.28.

If ln(x) = 3.23, then x can be found by using the exponential function.

The natural logarithm function, represented by ln(x), gives the power to which e (approximately equal to 2.71828) must be raised to equal x. So, if ln(x) = 3.23, it means that e^3.23 = x.

The exponential function is the inverse of the natural logarithm, so if ln(x) = 3.23, then

x = e^(ln(x))

= e^(3.23).

Using a calculator, we can find that e^(3.23) ≈ 25.28.

So, the value of x is approximately 25.28.

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Simply multiply each value of the discrete random variable by the probability associated with that value to obtain the expected value, E(X), or mean. E(X)=xP is the formula's notation (x).

How do you find ex and Var X?

It is common to refer to the long-term average or mean (symbolized as ) as the expected value of a discrete random variable X, denoted by the symbol E(X).

Thus, if you conducted an experiment again throughout time, you could anticipate this average result. If you toss three fair coins, for instance, let X be the number of heads you receive.

The expected value of X is the average number of heads you would anticipate receiving after three fair coin tosses if you were to perform this experiment a significant number of times.

f(x) = 4x³,0 < x < 1

Domain of f(x) = 4x³,0 < x < 1 : Solution : 0 < x < 1

Interval notation : (0,1)

Range of 4x³ ,0 < x < 1;

Solution : 0 < f(x) < 4

Interval Notation : (0,4)

Axis interception points of 4x³,0 <x <1.

Asymptotes of 4x³. 0 < x < 1;

Extreme Points of 4x³ . 0<x < 1:

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The minimum value of 3^{x²-4x+8} is 81. The solution has been obtained by using maxima-minima.

What is maxima-minima?

The extrema of a function are known as its maximum and minimum. The maximum and smallest values of a function within the predetermined set of ranges are known as maxima and minima. The function's maximum value and minimum value are referred to as the absolute maxima and absolute minima, respectively, for the function across the whole range.

We are given f(x) = 3^{x²-4x+8}

The function is minimum when {x²-4x+8} is minimum.

When the form of the equation is ax^2 + bx + c, then minimum is at -b/2a

Here, a = 1 and b = -4

So,

x = 4/2 = 2

So, {x²-4x+8} at x = 2 is

⇒(2)^2 - 4(2) + 8

⇒4 - 8 + 8

⇒4

So, the minimum value of f(x) is

3^4 = 81

Hence, the minimum value of 3^{x²-4x+8} is 81.

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The radius of this disk r is ± 9 √(1 - 2x^2).

The radius of the disk created by rotating the strip of width δx around the x-axis can be found using the Pythagorean theorem. Consider a right triangle with the horizontal leg equal to δx, the vertical leg equal to the height of the strip (which is equal to 9 - 9x^2), and the hypotenuse equal to r. We have:

δx^2 + (9 - 9x^2)^2 = r^2

Expanding and simplifying the square on the right-hand side, we get:

δx^2 + 81 - 162x^2 + 81x^4 = r^2

Since δx is infinitesimal, we can neglect it compared to 81 and 162x^2. Thus,

r^2 ≈ 81 - 162x^2

Taking the square root of both sides, we get:

r ≈ ± 9 √(1 - 2x^2)

where the positive sign corresponds to the upper half of the disk and the negative sign corresponds to the lower half.

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The equation of the line in point-slope form and in​ slope-intercept form are both y = 1/2x.

1. Point-Slope Form: y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

2. Slope-Intercept Form: y = mx + b, where m is the slope of the line and b is the y-intercept.

3. Standard Form: Ax + By = C, where A and B are coefficients that define the slope and y-intercept of the line.

If a line has a slope of 1/2 and passing through the origin, then:

m = 1/2

(x1, y1) = (0,0)

Plug in the values in the point-slope form and in​ slope-intercept form.

point-slope form

y - y1 = m(x - x1)

y - 0 = 1/2(x - 0)

y = 1/2x

slope-intercept form

y = mx + b

y = 1/2x + b

Substitute the values of x and y and solve for the y-intercept, b.

0 = 1/2(0) + b

b = 0

y = 1/2x + 0

y = 1/2x

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The answer to the given problem is ∫3−5[2f(x) 6g(x)]dx = 108. This can be found by using the properties of integration and substituting the given values for the integrals of f(x) and g(x).

Given that:

∫3−5f(x)dx=6

∫3−5g(x)dx=3

We need to find: ∫3−5[2f(x) 6g(x)]dx

To solve this problem, we will use the properties of integration:

Property 1:

If c is a constant, then

∫cf(x)dx=c∫f(x)dx

Property 2:

If f(x) and g(x) are two functions, then

∫[f(x) + g(x)]dx = ∫f(x)dx + ∫g(x)dx

Using Property 1, we can rewrite the given equation as:

∫3−5[2f(x) 6g(x)]dx = ∫3−5[12f(x)g(x)]dx

Using Property 2, we can further simplify the equation as:

∫3−5[12f(x)g(x)]dx = ∫3−5[12f(x)]dx + ∫3−5[12g(x)]dx

Now we can substitute the given values:

∫3−5[12f(x)]dx + ∫3−5[12g(x)]dx = 12∫3−5f(x)dx + 12∫3−5g(x)dx

Substituting the given values for the integrals of f(x) and g(x), we get:

12∫3−5f(x)dx + 12∫3−5g(x)dx = 12(6) + 12(3)

Simplifying, we get:

12∫3−5f(x)dx + 12∫3−5g(x)dx = 12(6) + 12(3) = 12(9) = 108

Therefore, the answer is

∫3−5[2f(x) 6g(x)]dx = 108

The answer to the given problem is ∫3−5[2f(x) 6g(x)]dx = 108. This can be found by using the properties of integration and substituting the given values for the integrals of f(x) and g(x).

the complete question is :

if ∫3−5f(x)dx=6, and ∫3−5g(x)dx=3 , then ∫3−5[2f(x) 6g(x)]dx will be equal to  ?

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The data set represented by the modified box plot is: 92, 88, 100, 136, 106, 79, 88, 86, 98, 115.A graphical depiction of a set of numerical data is a modified box plot.

The figure is made by drawing a box between the data's upper and lower quartiles with whiskers extending from each end of the box to the minimum and maximum values. The median is represented by the vertical bar inside the box.

In this scenario, the data is displayed on a number line with a whisker spanning from 79 to 115 and a range of 70 to 140 in 5 increments. The box runs from 88 to 106, with 95 being the median.

The single dot mark above 136 is an anomaly. The values in the data set are: 92, 88, 100, 136, 106, 79, 88, 86, 98, 115.

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Answer:

x(x + 2)

Step-by-step explanation:

x² + 2x ← factor out the common factor x from each term

= x(x + 2)

Answer:

x=0

Step-by-step explanation:

xx(x^2+121)=0

x=0

x^2+121=0

x=0

Answer:

≈84,13%

Step-by-step explanation:

To find the probability of a student liking between 5.5 and 8.5 songs from Eminem, we need to find the standard normal deviate (z-score) for each of these values and then use a standard normal table to find the area between these z-scores.

For 5.5 songs:

z = (5.5 - 7.0) / 1.5 = -1.0

For 8.5 songs:

z = (8.5 - 7.0) / 1.5 = 1.0

The area between -1.0 and 1.0 on a standard normal distribution table is approximately 0.8413. This means that the probability of an individual student liking between 5.5 and 8.5 songs from Eminem is approximately 84.13%.