determine whether the series is absolutely convergent, conditionally convergent, or divergent. [infinity] n = 1 sin(n) 9n

Answer:

the second

Step-by-step explanation:

refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice

Answer:

yeah how can i help help you

Answer:

The equation the repair service use to charge customers is c = 30h + 40

Step-by-step explanation:

If h = 1

Cost, c = 30h + 40

= 30(1) + 40

= $70

h = 2

c = 30(2) + 40

= $100

h = 3

c = 30(3)+ 40

= $130

h = 4

c = 30(4) + 40

= $160

h = 5

c = 30(5) + 40

= $190

h = 6

c = 30(6) + 40

= $220

Answer:

285

Step-by-step explanation:

use algebra

third is x

second is 4x

first is 4x-3

x+4x+4x-3

9x-3 = x+x+1+x+2

9x-3=3x+3

12x=6, divide x=2

third is 2, sec is 8, first is 5

Answer:

There are 4 people in Table A.

Step-by-step explanation:

Let the number of people at Table A be x and the number of people in Table B be x + 2.

\(\frac{72}{x}\) = \(\frac{108}{x+2}\)

72(x+2) = 108x

72x + 144 = 108x

144 = 108x - 72x

36x = 144

x = 144 ÷ 36

x = 4

The result of an average of more than 100% in a survey of tenants on cleaning chores in shared apartments is likely due to social desirability bias.

The average tenant response of more than 100% in a study about cleaning duties in shared apartments is probably the product of social desirability bias. Social desirability bias occurs when respondents give answers that they think are socially acceptable or desirable, rather than their true opinions or behavior.

In this case, tenants may have overstated their contribution to cleaning the apartment, in order to appear more helpful or responsible, leading to an average percentage higher than 100%.

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Yes, larger sample sizes do increase the certainty of a statistical test. This is because as the sample size increases, the sample becomes more representative of the population, leading to more accurate results.

larger sample sizes generally increase the certainty of the statistical test. This is because larger samples provide more information and reduce the likelihood of chance variations affecting the results. The estimated parameter becomes more stable and accurate with a larger sample size. Additionally, larger sample sizes allow for the detection of smaller effect sizes and greater statistical power. However, it is important to note that sample size alone does not guarantee the validity of the statistical test. Other factors such as sampling methods, data quality, and appropriate statistical analysis must also be considered.
Yes, larger sample sizes do increase the certainty of a statistical test. This is because as the sample size increases, the sample becomes more representative of the population, leading to more accurate results. Additionally, larger sample sizes decrease the margin of error and increase the statistical test's power, allowing for better detection of true differences or relationships in the population. Overall, larger sample sizes lead to more reliable and valid conclusions in statistical tests.

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Using expression x+283, Ricky had 1201 hits, and Pedro had 1484 hits.

What exactly are expressions?

In mathematics, an expression is a combination of numbers, symbols, and/or variables that represents a mathematical quantity or relationship. Expressions can be used to represent everything from simple arithmetic operations to more complex mathematical concepts like polynomials and trigonometric functions. In general, an expression can be thought of as a "recipe" for calculating a particular value, where the recipe includes specific values, operations to perform, and the order in which those operations should be performed. Some common types of expressions include algebraic expressions, numerical expressions, and functional expressions.

Now,

Let's assume that Ricky had x hits.

Then Pedro had x+283 hits.

Together, they got 2685 hits, so we can write an equation:

x + (x+283) = 2685

Combining like terms:

2x + 283 = 2685

Subtracting 283 from both sides:

2x = 2402

Dividing both sides by 2:

x = 1201

So Ricky had 1201 hits, and Pedro had 1484 hits.

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ANSWER

EXPLANATION

We want to find the value of x that makes l₁ parallel to l₂.

To find the value of x, we can use the sum of angles on a straight line. The sum of angles on a straight line is 180 degrees.

The transversal passes through l₂ and divides it into x and 65 degrees which means that:

Solve for x:

That is the value of x.

Answer:

c. 84

Step-by-step explanation:

oh hunny, just add up the female row of students only under dorms and apartment. (60+24)

Answer:  1 1/14

Step-by-step explanation: sorry if im wrong

The leading coefficient and the degree are 7 and 5

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

-6 - 12x^2 + 7x^5 + 5x

The degree is the highest power in the expression

So, we have

Degree = 5

The leading coefficient is the coefficient of the term with highest power in the expression

So, we have

leading coefficient = 7

Hence, the leading coefficient is 7

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Answer:

<8, <1, <4 are all 96

<6,<7,<3, <2 are all 84

Step-by-step explanation:

When the standard deviation is replaced with s in the formula. then the distribution of the resulting statistic is called student t- distribution.

By utilising standard deviation, the standard error is a statistical concept that assesses how accurately a sample distribution represents a population. In statistics, the difference between a sample mean and the population's actual mean is known as the standard error of the mean.

When we replace the sample standard deviation s for, the normal approximation no longer holds true if the population standard deviation is unknown and the sample size n is small. Use of the Student's t-distribution, a different distribution, is the answer.

The sampling distribution's standard deviation falls as the number of samples used to determine the sampling distribution's means rises.

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Answer:

on 4x + 33 = 10x + 3, we could use inverse operation and move 10x to left side, which will create -6x+33=3. we could also use the same thing to 33 and get -6x=-30. if we divide -30 by -6, we would get 5

Step-by-step explanation:

4+33=10+3

4+33−33=10+3−33

4=10−3

=5

Answer:

216 cm^3

Step-by-step explanation:

Volume of a cube=s^3

6 cm^3=216 cm^3

Answer:

Skew Is your answer

Step-by-step explanation: Took the test

The correct option is Option D: Line AC and RS are skew lines.

A line is defined as set of points that extends infinitely in either direction. A line is the shortest distance between any two points.

Skew lines are two lines that never intersect and are not parallel also. Hence we can say that the two lines can not exist in the same plane.

From the figure it is clear that

Line AC and RS are in different planes and they are also not intersecting each other, hence according to the definition of skew lines, they are skew lines.

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The quadratic function in standard form that passes through the points (-6,0), (-4,0), and (-3,-18) is f(x) = -2x^2 + 4x + 4.

To write the quadratic function in standard form, we can use the fact that a quadratic function can be expressed as

f(x) = a(x - h)² + k,

where (h, k) is the vertex of the parabola and "a" is a constant that determines the shape of the parabola.

Since the graph passes through (-6, 0), (-4, 0), and (-3, -18), we can set up three equations based on these points and solve for the unknowns a, h, and k.

First, using the point (-6, 0), we get

0 = a(-6 - h)² + k

Expanding the square and simplifying, we get

36a + ah² + k = 0 ----(1)

Similarly, using the point (-4, 0), we get

0 = a(-4 - h)² + k

Expanding and simplifying, we get

16a + ah² + k = 0 ----(2)

Using the point (-3, -18), we get

-18 = a(-3 - h)² + k

Expanding and simplifying, we get

9a + 6ah + ah² + k = -18 ----(3)

We now have three equations with three unknowns (a, h, k). We can solve them simultaneously to get the values of a, h, and k.

Subtracting equation (1) from (2), we get

20a = -4ah²

Dividing by -4a, we get

-5 = h²

Taking the square root of both sides, we get

h = ±√5 i

Since "h" is a real number, we must have h = 0.

Substituting h = 0 in equations (1) and (2), we get

36a + k = 0 ----(4)

16a + k = 0 ----(5)

Subtracting equation (4) from (5), we get

20a = 0

Therefore, a = 0.

Substituting a = 0 in equation (4), we get

k = 0.

Thus, the quadratic function is

f(x) = 0(x - 0)² + 0

Simplifying, we get

f(x) = 0

Therefore, the graph is a horizontal line passing through the x-axis at x = -6, -4, and -3.

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To show that `(n + 3)7 ∈ Θ(n7)`, we need to prove that `(n + 3)7 = Θ(n7)`.This can be done by showing that `(n + 3)7 = O(n7)` and `(n + 3)7 = Ω(n7)` .Now, let's prove the two parts separately:

Proof for `(n + 3)7 = O(n7)`.

We want to prove that there exists a positive constant c and a non-negative constant k such that `(n + 3)7 ≤ cn7` for all `n ≥ k`.Using the Binomial theorem, we can expand `(n + 3)7` as:```
(n + 3)7
= n7 + 7n6(3) + 21n5(3)2 + 35n4(3)3 + 35n3(3)4 + 21n2(3)5 + 7n(3)6 + 37
≤ n7 + 21n6(3) + 21n5(3)2 + 35n4(3)3 + 35n3(3)4 + 21n2(3)5 + 7n(3)6 + n7
≤ 2n7 + 21n6(3) + 21n5(3)2 + 35n4(3)3 + 35n3(3)4 + 21n2(3)5 + 7n(3)6
≤ 2n7 + 84n6 + 441n5 + 2205n4 + 10395n3 + 45045n2 + 153609n + 729
```Thus, we can take `c = 153610` and `k = 1` to satisfy the definition of big-Oh notation. Hence, `(n + 3)7 = O(n7)`.Proof for `(n + 3)7 = Ω(n7)`We want to prove that there exists a positive constant c and a non-negative constant k such that `(n + 3)7 ≥ cn7` for all `n ≥ k`.Using the Binomial theorem, we can expand `(n + 3)7` as:```
(n + 3)7
= n7 + 7n6(3) + 21n5(3)2 + 35n4(3)3 + 35n3(3)4 + 21n2(3)5 + 7n(3)6 + 37
≥ n7
```Thus, we can take `c = 1` and `k = 1` to satisfy the definition of big-Omega notation. Hence, `(n + 3)7 = Ω(n7)`.

As we have proved that `(n + 3)7 = O(n7)` and `(n + 3)7 = Ω(n7)`, therefore `(n + 3)7 = Θ(n7)`.Thus, we have shown that `(n + 3)7 ∈ Θ(n7)`.From the proof, we can see that we used the Binomial theorem to expand `(n + 3)7` and used algebraic manipulation to bound it from above and below with suitable constants. This technique can be used to prove the time complexity of various algorithms, where we have to find the tightest possible upper and lower bounds on the number of operations performed by the algorithm.

Hence, we have shown that `(n + 3)7 ∈ Θ(n7)` for non-negative integer n.

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letters :- EMTY

There r only 4 letters in geometry which have one line of symmetry

Answer:

well,

Step-by-step explanation:

as you see.....uhhh.....hmmmm.....if you first a _________________________________

Orthogonal projection of a vector v onto a subspace V in R^3, we need to determine the projection vector that lies in the subspace V and is closest to the vector v.

Let's assume the subspace V in R^3 is spanned by a set of vectors {v_1, v_2, v_3}. To find the orthogonal projection of v onto V, we can use the formula:

proj_v(v) = ((v · v_1) / (v_1 · v_1)) * v_1 + ((v · v_2) / (v_2 · v_2)) * v_2 + ((v · v_3) / (v_3 · v_3)) * v_3,

where "·" denotes the dot product.

However, you have not provided the vectors that span the subspace V. Without that information, we cannot compute the orthogonal projection directly. Please provide the vectors that span the subspace V, and I would be happy to help you calculate the orthogonal projection of v onto V.

Once the spanning vectors of V are provided, we can substitute them into the formula and compute the dot products and scalar multiplications to obtain the orthogonal projection proj_v(v) of v onto the subspace V. The resulting vector will be the projection vector that lies in the subspace V and is closest to v.

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The radius of a wheel rolling on the ground is 80 centimeters. if the wheel rotates through an angle of 60. Therefore,  It move to 84 cm.

Circumference Of Circle:

The total length of the circle boundary. The circumference of a circle is the product of the constant π and the diameter of the circle. A person walking across a circular park or a circular table needs this measure of circumference. The circumference is a length value and its units are the same as the length units. A circle is a round closed figure with all endpoints equidistant from a fixed point called the center.

The formula for the circumference of a circle is expressed using the values ​​of the circle's radius 'r' and 'pi'. It is represented by the equation of circumference = 2πr. Using this perimeter formula, if you don't have a value for the radius, you can use the diameter to find it. To calculate the circumference is to use the formula circumference = π × diameter.

If you need to calculate the radius or diameter, consider the circumference of a circle and use the following formula:

                    Radius = circumference/2π

Now,

According to the Question:

If the radius is 80cm

and,  the circumference is 2×π×80cm.

If the wheel rotates by 60° then a fraction 60/360 (= 1/6) of the circumference moves over the ground.  

Therefore, the distance moved is

                     \(\frac{2*\pi*80 }{6}\)

               = 83.77580

               ≈ 84 cm.

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The store must sell 60 of each set each to obtain the biggest possible income

The given parameters can be represented using the following table:

                        Set 1        Set 2     Available

Notebook         2                3         300

Pen                   1                  1          120

Selling price     8               11.5

Using the above data values, we have:

Objective function: Max P = 8x + 11.5y

Subject to:

2x + 3y ≤ 300

x + y ≤ 120

Next, we plot the graph of the above inequalities (see attachment)

From the attached graph, we have:

(x,y) = (60,60)

Hence, the store must sell 60 of each set each to obtain the biggest possible income

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Answer: x = 12

Step-by-step explanation:

9 + (x/4) = 12

x/4 = 3

x = 12

Answer:

The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative (not zero). y-values that are on the x-axis are neither positive nor negative. The x-axis is where y = 0.

Step-by-step explanation:

hope this helps :)

The following equation could be used to represent a function w:

= w(x)=v(x-7)+7

According to the information provided,

The point of discontinuity of rational functions is at x=7.

When a rational function has a point of discontinuity, it generally occurs when,

q(x) = r(x-a), where x = a

In this case, we must pay attention to the following relationship, which is a combination of a parent rational function and a vertical translation:, (2)

If we know that a=7 and k=7.

The equation which can represent w is as follows,

w(x) = v ( x-7 ) + 7

A rational function can be represented as a polynomial split by another polynomial. Because polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros in the denominator.

Example: x = f(x) (x - 3). The denominator, x = 3, has only one zero. Rational functions are no longer defined when the denominator is zero.

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