,
If ED=15, find the value of x. Is N the midpoint of ED? Explain why or why not.
15
E
4x-1
N
4 + 2x
D

Answer:

Step-by-step explanation:

The idea here is to find the area of the circle and then subtract from it the area of the triangle. That will give you the area of what's left in the circle (the shaded part). The area of a circle is:

\(A_c=\pi r^2\) so

\(A_c=(3.14)(12.4)^2\)   where 12.4 is the radius.

\(A_c=482.81\) rounded to the nearest tenth. I used 3.14 for pi.

Now for the area of the triangle. The formula is

\(A_t=\frac{1}{2}bh\) where h is the height of 12.4 and the base is the diameter which is 12.4 * 2 = 24.8

\(A_t=\frac{1}{2}(24.8)(12.4)\) so

\(A_t=153.76\)

Now subtract the triangle's area from the circle's area:

482.81 - 153.76 = 329.05 mm²

Answer:

(x + y)^2 - 2xy

The inverse of the function f(x) = (1/2)x is f^(-1)(x) = 2x.

To find the inverse of a function, we need to switch the roles of x and y and solve for y. Let's follow the steps to find the inverse of the function f(x) = (1/2)x:

Step 1: Replace f(x) with y: y = (1/2)x.

Step 2: Swap x and y: x = (1/2)y.

Step 3: Solve for y: Multiply both sides of the equation by 2 to isolate y: 2x = y.

Step 4: Replace y with f^(-1)(x): f^(-1)(x) = 2x.

Therefore, the inverse of the function f(x) = (1/2)x is f^(-1)(x) = 2x.

We can verify this by composing the function and its inverse. If we apply f(x) followed by f^(-1)(x), we should get the original value of x. Let's check:

f(f^(-1)(x)) = f(2x) = (1/2)(2x) = x.

As expected, the composition of the function and its inverse gives us the original value of x, indicating that we have found the correct inverse.

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the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

To find the set difference C - A, we need to remove all elements from A that are also present in C. Let's examine the sets:

C = {0, 6, 12, 18}

A = {2, 4, 6, 8, 10, 12}

We compare each element of A with the elements of C. If an element from A is found in C, we exclude it from the result. After the comparison, we find that the elements 2, 4, 8, 10 are not present in C.

Thus, the set difference C - A is {0, 18}, as these are the elements that remain in C after removing the common elements with A.

Therefore, the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

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Answer:B

count 2 and ~1/4 back and you get b

The taste test conducted by the local chili Restaurant  of a Single-blind study because the customers do not know the type of chili they are tasting, while the test administrators do know which type of chili is being presented.

In a single-blind study, the participants or subjects do not know which group they are assigned to or what treatment they are receiving, while the experimenter or test administrator knows the type of treatment being given. In this case, the test administrators know which type of chili is being presented to the customers, but the customers are not aware of the type of chili they are tasting.

The use of a single-blind study is appropriate in this case because it helps to reduce the possibility of bias in the results. If the customers knew which type of chili they were tasting, it could influence their preferences based on preconceived notions or expectations. By not knowing the type of chili they are tasting, the customers are more likely to give their unbiased opinions and preferences.

Additionally, the experiment is not a double-blind study because the test administrators are aware of the type of chili that is being presented. In a double-blind study, both the participants and the experimenters are unaware of which group the participants are assigned to or which treatment they are receiving. This helps to reduce the potential for bias from both the participant and experimenter.

the taste test conducted by the local chili restaurant is an example of a single-blind study because the customers do not know the type of chili they are tasting, while the test administrators do know which type of chili is being presented.

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Answer:

R

Step-by-step explanation:

Answer:

(multiply both sides by 6)

6×\(\frac{4h+4}{6}\)-10×6=-2h×6

(simplify)

4h+4-60=-12h

4h-56=-12h

(move constant to the right side and variable to the left)

4h+12h=56

16h=56

(divide both sides by 16)

h=7/2

The first derivatives for the given functions are:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For  \(y = 100200x + 7x,\) the first derivative is dy/dx = 100207.

For \(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

To find the first derivative for each of the given functions, we'll use the power rule, constant rule, and chain rule as needed.

For the function\(y = 3x^2 + 5x + 10:\)

Taking the derivative term by term:

\(d/dx (3x^2) = 6x\)

d/dx (5x) = 5

d/dx (10) = 0

Therefore, the first derivative is:

dy/dx = 6x + 5

For the function y = 100200x + 7x:

Taking the derivative term by term:

d/dx (100200x) = 100200

d/dx (7x) = 7

Therefore, the first derivative is:

dy/dx = 100200 + 7 = 100207

For the function \(y = ln(9x^4):\)

Using the chain rule, the derivative of ln(u) is du/dx divided by u:

dy/dx = (1/u) \(\times\) du/dx

Let's differentiate the function using the chain rule:

\(u = 9x^4\)

\(du/dx = d/dx (9x^4) = 36x^3\)

Now, substitute the values back into the derivative formula:

\(dy/dx = (1/u) \times du/dx = (1/(9x^4)) \times (36x^3) = 36x^3 / (9x^4) = 4/x\)

Therefore, the first derivative is:

dy/dx = 4/x

To summarize:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For y = 100200x + 7x, the first derivative is dy/dx = 100207.

For\(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

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(a) Matched pairs t-test

(b) The test statistic is 5.4508.

(c) The critical value is 3.2502.

(d) Answer B. yes is correct.

(a) The test method to be used to consider (Test A - Test B) with a 0.01 significance level to test the claim that people do better on the second test than they do on the first is Matched Pairs.

(b) The test statistic is calculated using the formula

t = d/ (s/ √n). Here, d is the difference between the two sets of data, s is the standard deviation of the differences and n is the number of matched pairs in the sample.

Since the sample size is small and the population variance is unknown, the t-distribution should be used. If the value of t lies in the critical region, then the null hypothesis is rejected. Using the data given, we have,

Mean of differences = 5

The standard deviation of differences = 4.5826

n = 10

t = 5 / (4.5826 / √10)

t = 5.4508

(c) The critical value is obtained from the t-table, using a significance level of 0.01 and 9 degrees of freedom. The critical value is 3.2502.

(d) Since the calculated t-value (5.4508) is greater than the critical value (3.2502), we reject the null hypothesis. Therefore, there is sufficient evidence to support the claim that people do better on the second test than they do on the first. The answer is B. Yes.

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Answer:

4

Step-by-step explanation:

D (-1, -3) and F( 2, 3)

G (-4, -4)

Which point on the y-axis lies on the line that passes through point G and is parallel to line DF?

If the line is parallel to DF then they have the same slope.

slope of line DF is m= difference in y/ difference in x = (-3-3)/( -1-2) = -6/-3 = 2

so slope of line that passes trough G and is ║ with DF is also m= 2

From point G (-4, -4) we go with a slope of 2 until we get to the y-axis

So we go up 2 and 1 left, 2up and 1 left, ... until we get to the point (0, 4), because the slope = rise/run = rise 2/run 1

Answer: ~15.05267 (im not sure though i just used a calculator)

Answer:

100º

Step-by-step explanation:

Find angle3 which is 80º

All lines are 180º

which means angle3+ angle4 is 180º

180º - 80º

= 100º

Answer: B. 100°

Step-by-step explanation:

Since triangles contain angles that add up to 180°, angles 3 is 80°. Since Straight Angles are 180°, it means that angle 4 is 180-80, which equals 100°.

Set up an equation:

3x - x = 28

Simplify:

2x = 28

Divide both sides by 2

X = 14

3(14) = 42

The numbers are 42 and 14

Answer:

256

Step-by-step explanation:

Step-by-step explanation:

Hindi ko poh alam ✌️

If and only if f(a) = 0, a polynomial f(x) has a factor (x-a). It's one of the techniques for factoring a polynomial.

A polynomial is an equation made up of coefficients and in determinates that uses only the addition, subtraction, multiplication, and powers of positive-integer variables.

The factor theorem can help us determine if a factor is a "root" or "zero" of a polynomial. In other words, if we have a polynomial function, the factor theorem allows us to check if a particular value (usually represented by the variable x) is a solution to the polynomial equation, which means that when we plug in that value for x, the resulting output of the polynomial function will be zero. If it is, then we know that (x - a) is a factor of the polynomial, where "a" is the solution we found.

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(a)The median salary of the 20 data's is 48 (b)The mean salary of the 20 data's is 47.65 which is less than the median due to which the histogram is slightly skewed towards right

(c)The first quartile of the 20 salary will be the first 5 datas = (28, 31, 34, 35, 37)

(d) The interquartile range of the 20 salaries will be the lenght of 2nd and 3rd quartile combined = 5 + 5 = 10 from 6th term to 15th term.

The median value of a data set is the value at which 50% of the data points have values lower than it or equal to it and 50% of the points have values higher than it or equal to it. The median is the value that separates the upper from the lower half of a population, a probability distribution, or a sample of data. For a data collection, it may be referred to as "the middle" value.

In mathematics, particularly in statistics, there are a variety of mean types. Each mean aids in the summary of a particular set of data, frequently serving to assess the overall importance of a given data set.

The interquartile range includes the second and third quartiles, or the middle half of your data set (IQR). The range gives the spread of the full data set, whereas the interquartile range gives the range of the middle half of the data set.

The set of salary (data) :

28, 31, 34, 35, 37, 41, 42, 42, 42, 47, 49, 51, 52, 52, 60, 61, 67, 72, 75, 77.

Since there are 20 datas (even) the median will be the average of the 2 centre data = (47+49)/2 = 48

The mean of the data set = (28+ 31+ 34+ 35+ 37+ 41+ 42+ 42+ 42+ 47+ 49+ 51+ 52+ 52+ 60+ 61+ 67+ 72+ 75+ 77)/20 = 953/20 = 47.65

The first quartile of the 20 salary will be the first 5 datas = (28, 31, 34, 35, 37)

The interquartile range of the 20 salaries will be the lenght of 2nd and 3rd quartile combined = 5 + 5 = 10 from 6th term to 15th term.

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Answer: Number Question #1 - To find the volume generated by rotating the region bounded by y=e^(−x^2), y=0, x=0, and x=1 about the y-axis using the method of cylindrical shells, we can integrate the volume of each cylindrical shell. The radius of each shell will be x, and the height will be e^(−x^2).

Thus, the volume is given by:

V = ∫[0,1] 2πxe^(−x^2) dx

Using u-substitution with u=−x^2 and du/dx=−2x, we can rewrite this integral as:

V = ∫[0,−1] −πe^udu

Evaluating the integral, we get:

V = π/2(e^0 − e^(−1)) ≈ 0.436

Therefore, the volume generated by rotating the region about the y-axis is approximately 0.436 cubic units.

Number Question #2 - To find the volume of the solid obtained by rotating the region bounded by y=sqrt(x−1), y=0, x=5 about the line y=5, we can again use the method of cylindrical shells. In this case, the radius of each shell will be 5−y, and the height will be x−1.

Thus, the volume is given by:

V = ∫[0,4] 2π(5−y)(x−1)dy dx

Integrating with respect to y first, we get:

V = ∫[1,5] π(x−1)(5−y)^2 dx

Expanding and simplifying, we get:

V = 2π/3 [(5x−x^2−13)∣[1,5]]

Evaluating the integral, we get:

V = (32π/3)

Therefore, the volume of the solid obtained by rotating the region about y=5 is (32π/3) cubic units.

Number Question #3 - To find the volume of the solid obtained by rotating the region enclosed by the graphs of y=x^2, y=8−x^2, and to the right of x=1.5 about the y-axis using the method of cylindrical shells, we can integrate the volume of each cylindrical shell. The radius of each shell will be x, and the height will be (8−x^2)−x^2=8−2x^2.

Thus, the volume is given by:

V = ∫[1.5,2] 2πx(8−2x^2)dx

Integrating, we get:

V = (32π/3) − (9π/2)

Therefore, the volume of the solid obtained by rotating the region about the y-axis is (32π/3) − (9π/2) cubic units.

Answer:

A. Amplitude: 1; midline: y = 1

Answer:

A. Amplitude: 1; midline: y = 1

Step-by-step explanation:

i took the test

Answer: y-3= 5/4(x-1) is the point slope form answer, y = 1.25x + 1.75 is the slope intercept form answer.

Step-by-step explanation:

Answer: S > 22

Step-by-step explanation:

Answer:

s = 23 and above

Step-by-step explanation:

2s + 5 > 49

      -5     -5

2s > 44

44/2

= 22

However, the answer for s is not 22

Since it has this sign > not ≥ then that means s = 23 and above

Check:

2(23) + 5 > 49

46 + 5 > 49

51 > 49

Answer:

2.4

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

4.7 - 2.3

Step 2: Evaluate

Subtract

2.4

Answer:

2.4

Step-by-step explanation:

Answer:

4y - 9

Step-by-step explanation:

y×4= 4y

4y-9

Answer:

64 square centimeters

Step-by-step explanation:

The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.

Finding the triangular face:

Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)

12 * 4 (4 sides) = 48 square cm

Finding the Base = \(w * l = 4 * 4 = 16\)

Finally, we add it together. 48 + 16 = 64

An equation that represents the relationship between x and y shown in the table is y = 1.5x.

In order to write an equation that represents the relationship between x and y shown in the table, we would have to find the slope from the table and then write the required equation based on the data points by using the point-slope form.

Mathematically, the point-slope form of a line is given by this mathematical equation:

y - y₁ = m(x - x₁)

Where:

By substituting the given parameters into the point-slope formula, an equation for the data points contained in this table is given by;

y - y₁ = m(x - x₁)

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 21 = (96 - 21)/(64 - 14)(x - 14)

y - 21 = 75/50(x - 14)

y - 21 = 1.5(x - 14)

y = 1.5x - 21 + 21

y = 1.5x

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The differential dy for y = tan(4x + 6) when x = 4 and dx = 0.2 is 3.22, the differential dy for y = 3x² + 5x + 4 when x = 5 and dx = 0.2 is 30.20, and the change in y \(∆y\) for y = \(4√x\) when x = 2 and\(∆x = 0.3 is 0.848\).

To find the differential of a function, we use the derivative, which is defined as the limit of the ratio of the change in y to the change in x as the change in x approaches zero. The differential dy is then given by the product of the derivative and the change in x, or simply dy = f'(x) dx.

For the function y = tan(4x + 6), we can find the derivative as follows: f'(x) = sec²(4x + 6) * 4 = 4 sec²(4x + 6) Substituting x = 4 and dx = 0.2, we get: dy = f'(4) * 0.2 = 4 sec²(22) * 0.2. Rounding to two decimal places, we get dy = 3.22.

For the function y = 3x² + 5x + 4, we can find the derivative as follows: f'(x) = 6x + 5 Substituting x = 5 and dx = 0.2, we get: dy = f'(5) * 0.2 = 6(5) + 5 * 0.2 Rounding to two decimal places, we get dy = 30.20.

For the function y = \(4√x\), we can find the derivative as follows: f'(x) = 2/√x Substituting x = 2 and\(∆x = 0.3\), we get: ∆y = f'(2) *\(∆x = 2/√2 * 0.3 = 0.848\) Rounding to three decimal places, we get \(∆y = 0.848\).

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Answer     You never been with no one as nasty as me

Spice up your life, come get a freak (do do do do do do do)

Freak like me

Step-by-step explanation:

Im not a fan of Doja Cat, but is it that weird cow one? Sorry if Im wrong! ^^