Please help I am giving a lot of points


A circle has been dissected into 16 congruent sectors. The base of one sector is 1. 56 units, and its height is 3. 92 units. Using the area of a triangle formula, what is the approximate area of the circle?



circle A is dissected into 16 congruent sectors, one sector is highlighted


27. 52 units2


48. 25 units2


48. 92 units2


76. 44 units2

\(\begin{array}{cllll} -6x+5y&=&34\\ -6x-10y&=&4 \end{array} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{ \textit{using elimination method} }{\begin{array}{cllll} \text{\LARGE -1}(-6x+5y&=&34)\\ -6x-10y&=&4 \end{array}}\implies \begin{array}{clclll} 6x ~~ -5y&=&-34\\ -6x-10y&=&4\\\cline{1-3} 0 ~~ -15y&=&-30 \end{array} \\\\\\ -15y=-30\implies y=\cfrac{-30}{-15}\implies y=2 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{substituting on the 1st equation}}{-6x+5(2)=34\implies} -6x+10=34\implies x=\cfrac{24}{-6}\implies x=-4 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (-4~~,~~2)~\hfill\)

By analytical methods and algebraic handling and on the basis that x is increased by 25 %, we conclude that the variable x² is increased by 18.75 %.

In this case we have a linear variable x, whose increase is described by the following expression:

y = x · (1 + r/100)     (1)

Where r is the increase rate.

If we square (1), then we find that:

y² = x² · (1 + r/100)² = (1 + r'/100)     (2)

Where r' is the equivalent increase rate.

(1 + r/50 + r²/10000) = (1 + r'/100)

r'/100 = r/50 + r²/10000

r' = r/2 + r²/100

If we know that r = 25, then the equivalent increase rate is:

r' = 25/2 + 25²/100

r' = 18.75

By analytical methods and algebraic handling and on the basis that x is increased by 25 %, we conclude that the variable x² is increased by 18.75 %.

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Answer:

B. 6 cm

Step-by-step explanation:

\(\text{Take the volume of a sphere and solve for r.}\\V=\frac{4}{3}\pi r^3\\\text{We already know that the volume is 113, so substitute that value.}\\113=\frac{4}{3}\pi r^3\\\text{Divide both sides by 4/3 pi.}\\\frac{113}{\frac{4}{3}\pi}=r^3\\\text{Divide 113 by 4/3 pi.}\\r^3=26.98\\\text{For a more accessible value, round up.}\\r^3 \approx27\\\text{Take the cube root of both sides.}\\r=3\)

Now that the radius is known, all we have to do is multiply it by 2 to get the diameter. Here the answer is simply 3 * 2, or 6.

Answer:

B. 6 cm

Step-by-step explanation:

You can use the formulas \(d=(\frac{6V}{\pi } )^{\frac{1}{3} }\) or \(d = \sqrt[3]{\frac{6V}{\pi } }\) to solve for diameter using volume. I will use the first forumla for this problem.

1. Substitute 113 for "V":

\(d=(\frac{6(113)}{\pi }) ^{\frac{1}{3} }\)

2. Multiply in the parenthesis:

\(d=(\frac{678}{\pi } )^{\frac{1}{3} }\)

3. Divide by pi (3.14):

678 ÷ 3.14 = 215.923567

\(d=215.9^{\frac{1}{3} }\)

4. Apply the exponent:

d = 5.99907...

d = 6 cm

hope this helps!

Answer:

y = -2x - 8

Here's how I got that:

- You first assign the points -

     (-8, 8) → x1 = -8, y1 = 8

     (1, -10) → x2 = 1, y2 = -10

- Now you plug those points into slope formula and solve-

                          \(s=\frac{y2-y1}{x2-x1}\)

                                   ↓

                       ((-10) - 8)/(1 - (-8))

                                   ↓

                                -18/9

                                   ↓

                           slope = -2

- Now we plug the numbers we got into intercept formula -

                            b = y1 − s ⋅ x1

                                      ↓

                             8 - (-2) · (-8)

                                      ↓

                           y-intercept = -8

           - Put everything together and you get.. -

                                 y = -2x - 8

~That's all folks~

-Siascon

\(\text{Given that,}\\\\(x_1,y_1) = (-8,8) ~ \text{and}~ (x_2,y_2) = (1,-10)\\\\\text{Slope, m}= \dfrac{y_2- y_1}{x_2-x_1} = \dfrac{-10-8}{1+8} = -\dfrac{18}{9} =-2\\\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y = m(x-x_1)+y_1\\\\\implies y = -2(x+8) + 8\\\\\implies y = -2x -16 +8\\\\\implies y = -2x -8\)

To estimate the number of new users that would be added during time period 7, we can use the Bass diffusion model, which is commonly used to model the adoption of new products or technologies.

The Bass diffusion model is given by the formula:

\(\[N(t) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot t)}}}\]\)

where:

- N(t) represents the cumulative number of adopters at time \(t\).

- p is the innovation parameter, representing the coefficient of innovation.

- q is the imitation parameter, representing the coefficient of imitation.

- e is the base of the natural logarithm.

Given a population size of 67 million, an innovation parameter of 0.005, and an imitation parameter of 0.84 for Color TV, we can substitute these values into the Bass diffusion model and calculate the number of new users added during time period 7.

\(\[N(7) - N(6) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 7)}}} - \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 6)}}}\]\)

Substituting the given values into the equation:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

Evaluating the expression will give us the estimated number of new users added during time period 7.

In LaTeX, the solution can be represented as:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

After evaluating this expression, you will obtain the estimated number of new users added during time period 7.

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Answer:

 a quadratic equation is any equation that can be rearranged in standard form as ax^{2}+bx+c=0 where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no ax^2 term

An expression of the form ax2+bx+c a x 2 + b x + c , where a≠0 a ≠ 0 is called a quadratic expression

Answer:

quadratic equation= any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power solve for x in the quadratic equation x2 + 4x + 4 = 0.

quadratic sequence=A quadratic expression is an expression involving a squared term, e.g., x2 + 1, or a product term, e.g., 3xy − 2x + 1. A linear expression such as x +1 is obviously non-quadratic. Always simplify the quadratic expression, if possible.

Step-by-step explanation:

Researchers use a finding's Effect size to measure magnitude and reliability.

a difference in significance does not always make a significant difference.

One reason is the arbitrary nature of the p<0.05 cutoff. We could get two very similar results, with p=0.04 and p=0.06, and mistakenly say they’re clearly different from each other simply because they fall on opposite sides of the cutoff.

The second reason is that p values are not measures of effect size, so similar p values do not always mean similar effects. Two results with identical statistical significance can nonetheless contradict each other.

Effect size refers to the measure of the magnitude of the experiment's effect. In other words, effect size measures how important is the relationship between two variables. The larger the effect size, the stronger this relationship is. Moreover, when the effect size is large, you are more likely to be dealing with a relationship that has practical significance.

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Answer:

FV= PV*(1 + g)^n

Step-by-step explanation:

Giving the following information:

Present Value (PV)= 120

Growth rate (g)= 6.5% per year

To calculate the future value of the population in any given year "n", we need to use the following formula:

FV= PV*(1 + g)^n

For example, in 10 years:

FV= 120*(1.065^10)

FV= 225

roots = {-2, -6}

Factors: (x + 6) and (x + 2)

The sample mean of the observations is 19.25 and the standard deviation is 2.15

Sample mean is found by adding up all the individual values of the sample, then dividing by the total number of values in the sample.  

Sample standard deviation is the square root of the variance

mean = (23 + 25 + 16 + 20 + 13 + 10 + 28 + 19)/8

mean = 19.25

variance = (x₁ - mean)²/n(n-1)

variance = ((23 - 19.25)² + (25 - 19.25)² + (16 - 19.25)² + (20 - 19.25)² + (13 - 19.25)² + (10 - 19.25)² + (28 - 19.25)² + (19 - 19.25)²)/(8(7))

variance = 259.5/56

variance = 4.63

Standard deviation = √variance = √4.63 = 2.15

Therefore, the sample mean of the observations is 19.25 and the standard deviation is 2.15

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Answer:

9.4

Step-by-step explanation:

pi = 3.1415...

3.1415*3 = 9.4

Knowing the functions f(x) and g(x) we have:

To find the sum, difference, product, and quotient of two functions, we simply perform the corresponding operations on the expressions for each function.

For (f+g)(x), we add the expressions for f(x) and g(x):

(f+g)(x) = (x² + 3x + 1) + (x^2) = 2x² + 3x + 1

For (f-g)(x), we subtract the expression for g(x) from the expression for f(x):

(f-g)(x) = (x² + 3x + 1) - (x²) = 3x + 1

For (f·g)(x), we multiply the expressions for f(x) and g(x):

(f·g)(x) = (x² + 3x + 1) · (x²) = x⁴ + 3x³ + x²

For (f/g)(x), we divide the expression for f(x) by the expression for g(x):

(f/g)(x) = (x² + 3x + 1) / (x²) = 1 + 3x/x² + 1/x² = 1 + 3/x + 1/x²

So, the final answers are:

(f+g)(x) = 2x² + 3x + 1

(f-g)(x) = 3x + 1

(f·g)(x) = x⁴ + 3x³ + x²

(f/g)(x) = 1 + 3/x + 1/x²

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Given:

The area model.

To find:

The area as a sum and area as a product.

Solution:

The four terms of the area model are \(2x^2,10x, 3x, 15\).

The area as a sum is the sum of all the terms of given area model.

Area as a sum = \(2x^2+10x+3x+15\)

                        = \(2x^2+13x+15\)

The area as a product is the factor form of sum of all the terms of given area model.

Area as a product = \(2x^2+10x+3x+15\)

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

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

Therefore, the area as a sum is \(2x^2+13x+15\) and the area as a product is \((x+5)(2x+3)\).

Answer:

542

Step-by-step explanation:

May the 4th be with you (When it's May 4th lol)

The percentage of the students who wore a silly hat is 64 %.

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that Last Tuesday was a silly hat day at Aaron's school. 64 students wore a silly hats and 36 students did not.

We have to determine the percentage of the students who wore a silly hat

The total number of students = 64 students wore silly hats and 36 students did not.

The total number of students = 64 + 36 = 100

We have to determine the percentage of the students who wore a silly hat

The percentage of the students wore a silly hat = (64/ 100) × 100

The percentage of the students wore a silly hat = 0.64 × 100

The percentage of the students wore a silly hat = 64 %

Thus, the percentage of students who wore silly hats is 64 %.

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It is possible to use a relational operator and math operators in the same expression.

In programming, you can use relational operators (e.g., <, >, ==, !=) and math operators (e.g., +, -, *, /) together in the same expression. This is often used in conditional statements or loops to compare calculated values.

For example, consider the following expression:

`if (2 * 3) > (4 + 1)`

In this expression, we have math operators (*) and (+) and a relational operator (>). The math operations are evaluated first, resulting in:

`if (6) > (5)`

Then, the relational operator (>) is evaluated, and the expression becomes:

`if True`

The expression is true because 6 is greater than 5.

It is possible to use both relational operators and math operators in the same expression, which can be useful in various programming situations such as conditional statements or loops.

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Answer: The answer is A

Step-by-step explanation:

12 is NOT a multiple of 8. She only listed multiples for 12 not 8.

Answer:

the anwer is a

Step-by-step explanation:

some of the numbers were not factors

Answer:

100

Step-by-step explanation:

Here, we want to simplify the given indices and also get the index

The index is simply the power or exponent 2/3 and that is the index

1000^2/3

we can use the law of indices here;

1000^2/3 =( 3√(1000)^)2

the cube root of 1000 is 10

so we have 10^2 = 100

The domain  -∞ ≤ x ≤ +∞ and range is -3≤ x ≤ 1.

All input values shown on the x-axis make up a graph's domain. The y-axis on a graph represents the possible output values, or range.

The domain would be determined by the set of all x-coordinates at all curve points, and the range would be determined by the set of all y-coordinates at all curve points. Both a set and an interval can be used to express each domain and range.

According to the domain is

from -∞ on left side and reaches to +∞ on the right side

So, domain is -∞ ≤ x ≤ +∞

Now, the range of the graph is -3 to 1

So, -3≤ x ≤ 1

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In order to find the angle ∠LHK you take into account that the angle ∠GHK = 180°. Furthermore you have that angle ∠GHL = 79°.

Then, ∠LHK + ∠GHL = 180°

You solve the previous relation for ∠LHK by replacing the value of ∠GHL, just as follow:

∠LHK + ∠GHL = 180°

∠LHK = 180 - ∠GHL = 180 - 79 = 101°

Hence, angle ∠LHK is equal to 101°

The function below is not provided in the question, therefore, I cannot provide a specific linearization method to fit the data to a linear regression model.

However, in general, the correct linearization method for a function to be fit to a data set using linear regression would depend on the functional form of the equation.

For example, if the function is exponential, taking the logarithm of the data may result in a linear relationship that can be fit using linear regression.

The specific linearization method to fit a function to a linear regression model would depend on the functional form of the equation. For an exponential function, taking the logarithm of the data may result in a linear relationship that can be fit using linear regression. However, since the function in question is not provided, I cannot provide a specific linearization method.

The correct linearization method for a function to be fit to a linear regression model depends on the functional form of the equation and cannot be determined without knowledge of the specific function.

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Answer: 15 cm/min

Step-by-step explanation:

900÷60

60=hour

1 hour is 60 minutes.

900 cm/hr = 900 cm per 60 minutes.

To find cm per minute, divide total cm by 60 minutes:

900 / 60 = 15 cm/min.

Rashid spent a total of 1 hour and 30 minutes on homework for these three subjects.

If Rashid spent 30 minutes on each piece of homework for three subjects, we can calculate the total time he spent by multiplying the time spent per subject (30 minutes) by the number of subjects (3).

30 minutes * 3 = 90 minutes.

To convert this into hours and minutes, we divide 90 minutes by 60 since there are 60 minutes in an hour.

90 minutes ÷ 60 = 1 hour and 30 minutes.

Therefore, Rashid spent a total of 1 hour and 30 minutes on homework for these three subjects.

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The measure of the Smaller and the larger angle will be ;

X1 = 354 -   √(2&31327)   / 4

X2 = 354 + –   √(2&31327) / 4

X1 = -b - √∆   / 2a = - (-354 ) –   √(2&31327)   / 2a

=354 -   √(2&31327)   / 4

X2 = -b + √∆  / 2a =  - (-354 ) + –   √(2&31327) / 2a

=354 + –   √(2&31327) / 4

x + (1/2x + 3) = 180

x + (1/2x + 3)-180=0

Domain of the equation 2x + 3!=0

Multiplying ,

X * 2x + 3 * 2x – 180 * 2x +1 =0

2 * ^2 +6x – 360x + 1 = 0

2 x ^ 2 – 354 x + 1 = 0

Here ,

a = 2

b = -354

c  = 1

∆= b2-4ac

=-3542 – 4 * 2 * 1

∆ = 125308

∆ value is higher than 0, s the equations have 2 solutions.

X1 = -b -√∆  / 2a

X2 = -b + √∆  / 2a

End solution, will be

Hence , the root of    = √125308 = √(4*31327)

=  √(2&31327)  

X1 = -b - √∆   / 2a = - (-354 ) –   √(2&31327)   / 2a

=354 -   √(2&31327)   / 4

X2 = -b + √∆  / 2a =  - (-354 ) + –   √(2&31327) / 2a

=354 + –   √(2&31327) / 4

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Answer:

63.84

Step-by-step explanation:

Answer:

63.84

Step-by-step explanation:

Multiply both numbers without the decimal point then move the decimal point 2 places to the left.

SOLUTION

The diagram below would be very helpful in answering the question

(a) to find f'(-2), we find the slope m of the line that I have made in red.

We use the points (-1, 0) and (-3, 1) we have

Hence the answer is

(c) We should determine x, where f'(x) = 0

Now f'(x) = 0 at a where we call the maximum point. That is the highest point of the graph curved as "n" From the figure above we can see that at this point, y is 3, also tracing down to the x-axis plane, can see that x = 3

Hence the answer is x = 3

Answer:

70-8, 100-50-7, 200- 90-3