Consider the series 12 ta) Find the stadius and interval of convergence (b) For what values of these converge absolutely (c) For whates of x does the series convorbe conditionally In) Find the interval of convergence Find the radius of convergence RE {b} For wat also does the series converge about fel For what values of x. does the series coworo conditionaty Select the cornect choice below and necessary in the war box to compete your choice O A The sensores conditionally at se acomo parte answers as needed) OB. The series does not convorge conditionally 1 #1 *

Answer:

I would love to help but the image is not there on my screen. :(

Step-by-step explanation:

Step 1:

Find the greatest common factor of -45x and +72.

3 | -45x | +72

-----------------------------------------

3 | -15x | +24

-----------------------------------------

| -5x | +8

Therefore, the greatest common factor of -45x and +72 is 3 x 3 = 9

Step 2:

Factor out the greatest common factor

Therefore the correct answer 9(-5x + 8)

Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

Answer: 7xy+2x^2t

Combine like-terms.

5xy+2xy-x^2t+3x^2t

7xy+2x^2t

:)

Answer:

7xy+2x^2t

Step-by-step explanation:

5xy-x^2t+2xy+3x^2t

Rearrange:

‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎5xy+2xy+3x^2t-x^2t

‏‏‎ ‎‏‏‎ ‎‏‏‎ 7xy+2x^2t

5x^2 + 3x + 8 has no solutions without solving the equation since the discriminant is negative

Using the discriminant formula:

The discriminant (D) is given by:

D = b^2 - 4ac

For the equation 5x^2 + 3x + 8, we have:

a = 5, b = 3, and c = 8

Substituting these values into the discriminant formula, we get:

D = (3)^2 - 4(5)(8) = -127

Since the discriminant is negative, the quadratic equation has no real solutions. Therefore, 5x^2 + 3x + 8 has no solutions without solving the equation.

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Answer:

Step-by-step explanation:

the variable in this question would be........................ W

you are welcom

Answer:

x = -15/2 ± (1/2)*5√5

Step-by-step explanation:

I will assume that you meant x^2+15x+25=0.

To complete the square, take half of the coefficient of x, square the result, add this square into the equation after '15x,' and then subtract the square from the result:

x^2+15x+25=0  =>  x^2 + 15x + (15/2)^2 - (15/2)^2 + 25 = 0.

Rewrite the first two terms as (x + 15/2)^2 - 225/4 + 100/4 = 0, or

                                                  (x + 15/2)^2 - 125/4 = 0

Taking the square root of both sides, we obtain the solutions:

                                                    x + 15/2 ±√[125/4], or

                                                    x = -15/2 ± (1/2)*5√5

The quadratic equation x²+15x+25=0,  (15/2)² is a number to be added to "complete the square"

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The quadratic equation x²+15x+25=0

x²+15x+(15/2)²+25-(15/2)²=0

(x+15/2)²+25-225/4

(x+15/2)²+(100-225)/4

(x+15/2)²+(-125/4)

(x+15/2)²-(√125/√4)²

(x+15/2+√125/√4)(x+15/2-√125/√4)

(x+15/2+√125/2)(x-15/2-√125/2)

(x+(15+√125)/2)(x-(15+√125)/2)

Hence (15/2)² is a number to be added to "complete the square"

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The measure of angle p is 40 degrees

The length of NO is 13

The value of y is 25/6

The value of x is 47.5/3

What is CPCT?

CPCT is Corresponding Parts of Congruent Triangles.

If two triangles are congruent, their corresponding sides are equal.

Their corresponding angles are equal.

According to the given question:

If ΔITP ≅ ΔNGO then their corresponding sides and corresponding angles are equal.

Hence

IP = NO; IT = NG and TP = GO

∠I = ∠N; ∠T = ∠G and ∠P = ∠O

1) the measure of angle P is _____

  Sum of interior angles of a triangle is 180 degrees

  ∠I + ∠T + ∠P = 180

  65 + 75 + ∠P = 180

Therefore, on simplifying we get the measure of angle p as 40 degrees

2) Length of NO is _____

   By CPCT,

                    NO = IP = 13

Hence, length of NO is 13

3) the value of y is ___

  By CPCT,

  GO = TP

Substituting the values to get

6y - 14 = 11

     6y = 25

       y = 25/6

4) the value of x is ____

By CPCT,

  GN = IT

Substituting the values to get

x - 2y = 7.5

x - 2(25/6) = 7.5

         x = 47.5/3

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Answer:

Population in 2013 = 3541

Step-by-step explanation:

Answer:

200 slices or 30 cakes

Step-by-step explanation:

Divide 700 by 3.5 = 200

Divide 700 by 24 = 29.16

Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators.


Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators. These variables help measure and track progress towards a goal by providing a quantitative or qualitative measure of how far the target is from the desired level of achievement.

Performance metrics can be represented in various forms, such as distance covered, percentage completed, points earned, or even subjective evaluations. For example, in a fitness program, a performance metric could be the number of miles run or the number of push-ups completed.

These metrics enable individuals or organizations to assess their progress and make necessary adjustments to reach their desired outcomes.

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Answer:

Maybe in June? Mainly the government needs money to send out the security checks

Step-by-step explanation:

Answer

32

Step-by-step explanation:

fffff

Answer:

8.9443

Step-by-step explanation:

d = √((x2-x1)2 + (y2-y1)2)

Step by step procedure:

Find the difference between coordinates:

(x2-x1) = (-9 - -1) = -8

(y2-y1) = (2 - -2) = 4

Square the results and sum them up:

(-8)2 + (4)2 = 64 + 16 = 80

Now Find the square root and that's your result:

Exact solution: √80 = 4√5

Approximate solution: 8.9443

Answer:

it takes 36 minutes to fill the bathtub using just hot water.

The exact length of the curve y=23(x^2−1)^(3/2), 1≤x≤3, is given by L = (1/9) ∫(sec^(-1)3 to sec^(-1)1) sqrt[9(sec^2θ−1)^2+1] dθ. This integral cannot be evaluated in terms of elementary functions.

To find the length of the curve y = 23(x^2 - 1)^(3/2) from x = 1 to x = 3, we can use the arc length formula:

L = ∫(1 to 3) sqrt[1 + (dy/dx)^2] dx

First, we need to find dy/dx:

dy/dx = 23 * 3/2 * (x^2 - 1)^(1/2) * 2x

     = 3x(x^2 - 1)^(1/2)

Now, we can substitute this expression into the arc length formula and integrate:

L = ∫(1 to 3) sqrt[1 + (3x(x^2 - 1)^(1/2))^2] dx

 = ∫(1 to 3) sqrt[1 + 9x^2(x^2 - 1)] dx

 = ∫(1 to 3) sqrt[9x^4 - 9x^2 + 1] dx

We can solve this integral using trigonometric substitution. Let x = (1/3)secθ, then dx = (1/3)secθ tanθ dθ. Substituting, we get:

L = ∫(θ1 to θ2) [(1/3)secθ * sqrt[9(sec^2θ - 1)^2 + 1]] * (1/3)secθ tanθ dθ

 = (1/9) ∫(θ1 to θ2) sqrt[9(sec^2θ - 1)^2 + 1] dθ

where θ1 = sec^(-1)3 and θ2 = sec^(-1)1.

This integral cannot be evaluated in terms of elementary functions, so we can approximate it using numerical methods or leave the answer in this form. Therefore, the exact length of the curve y = 23(x^2 - 1)^(3/2), 1 ≤ x ≤ 3 is:

L = (1/9) ∫(sec^(-1)3 to sec^(-1)1) sqrt[9(sec^2θ - 1)^2 + 1] dθ.

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The density of an object with a mass of 180 grams and a volume of 45 cm is 0.4 kg/m.

What is density?

So the formula will be d = m / v

The mass of the object is 180 g

The volume of the object is 45 cm

Putting the value in the formula

d = 180 g / 45 cm = 0.4 kg/m

Thus, the density of an object will be 0.4 kg/m.

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The curve is F(x) = x^2 + 3x - 2

From the question, we have

f(x) = 2x + 3

∫f(x) = ∫2x + 3 dx

F(x) = x^2 + 3x + C

2 = (1)^2 + 3(1) + C

2 = 4 + C

C= -2

The curve is F(x) = x^2 + 3x - 2

Multiplication:

Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

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Answer:

Dimes = 35

Quarters = 14

Step-by-step explanation:

Let

quarters = q

Dimes = d

Total coins = 49

There are 2.5 times as many quarters as there are dimes in the bag

Dimes = 2.5q

Quarters + Dimes = Total

q + 2.5q = 49

3.5q = 49

q = 49/3.5

q = 14

d = 2.5q

= 2.5 * 14

= 35

d = 35

Therefore,

Dimes = 35

Quarters = 14

Answer:

The system of equations that models this equation area:

d + q = 49

q = 2.5d

We assume that with a linear relationship between two variables, for any fixed value of x, the observed residuals follows a normal distribution.

This assumption is based on the Central Limit Theorem, which states that when the sample size is large enough, the distribution of sample means will be approximately normal, regardless of the shape of the underlying population distribution.

In the case of a linear relationship between two variables, we can assume that the residuals (the difference between the observed y values and the predicted values based on the linear regression model) follow a normal distribution with mean 0 and constant variance. This assumption is important because it allows us to use statistical methods that rely on normality, such as hypothesis testing and confidence intervals.

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Answer:

None of the Above

Step-by-step explanation:

Hope this helps

They are related as u^T transposes of each other. v and v^T u are scalar values that represent the dot product of u and v. uv^T and vu^T are matrices of size n x n that represent the outer product of u and v.

If u and v are vectors in R^n, then:

u^T v and v^T u are related as transposes of each other. Specifically, if

u = [u_1, u_2, ..., u_n]^T

and v = [v_1, v_2, ..., v_n]^T

then:

u^T v = v^T u

= u_1 * v_1 + u_2 * v_2 + ... + u_n * v_n

So, u^T v and v^T u are scalar values that represent the dot product of u and v.

uv^T and vu^T are related as transposes of each other. Specifically, if u = [u_1, u_2, ..., u_n]^T and v = [v_1, v_2, ..., v_n]^T

then:

uv^T = [u_1 * v_1, u_1 * v_2, ..., u_1 * v_n;

u_2 * v_1, u_2 * v_2, ..., u_2 * v_n;

...;

u_n * v_1, u_n * v_2, ..., u_n * v_n]

vu^T = [v_1 * u_1, v_2 * u_1, ..., v_n * u_1;

v_1 * u_2, v_2 * u_2, ..., v_n * u_2;

...;

v_1 * u_n, v_2 * u_n, ..., v_n * u_n]

So, uv^T and vu^T are matrices of size n x n that represent the outer product of u and v.

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There are 969 methods for the quality control inspector to randomly check 5 smartphones, of which 2 are defective, from the shipment of 21 smartphones.

We can solve this problem using combinations formula, that is a way of counting the number of ways to select k objects from a fixed of n items without regard to order. The range of combinations of k items from a fixed of n objects is given via:

\(C(n, k) = n! / (k! * (n-k)!)\)

in which:

In this situation, we want to pick out 2 defective smartphones out of 2 defective smartphones and 19 non-defective smartphones, and we need to pick out out three non-defective smartphones out of the ultimate 19 non-defective smartphones.

Consequently, the number of approaches to choose 2 defective smartphones and 3 non-Defective smartphones from the set of 21 smartphones is:

\(C(2, 2) * C(19, 3) = 1 * (19! / (3! * 16!)) = 191817 / (321) = 969\)

Therefore, there are 969 methods for quality control.

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Answer:

a. What angle of rotation maps Ponto P?

30.25 degrees

b. What are the x and y coordinates of P to the nearest thousandth?

(83.3, 33.3)

c. What translation rule maps P onto P?

Rotation

Answer:

its (D)

Step-by-step explanation:

Answer:

The answer is D) -

Step-by-step explanation

I have taken the test.

Answer:

The answer is A

Step-by-step explanation:

Hope this helps

Answer:

16 > 11

Step-by-step explanation:

7 + (16 - 7) = 3 + 8

7 + 9 = 3 + 8

16 = 3 + 8

16 ≠ 11

or

16 > 11