Please look at the picture and answer the question thank you

The convergence of the series ∑∧∞ 4.7.10…(3n+1) /1.2.3….n is π =3+. 1. 10. +. 4. 102. +. 1. 103. +. 5. 104. +. 9. 105. +. 2. 106

You should understand that any series that is not convergent is said to be divergent or to diverge

The reciprocals of the positive integers produce a divergent series

This can be written as π =3+. 1. 10. +. 4. 102. +. 1. 103. +. 5. 104. +. 9. 105. +. 2. 106 .... For x ∈ R, the (infinite) geometric series ∑n≥0 xn converges if |x| < 1 and ...

This is to say that the convergence series is the reciprocal of the series.

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The factorization of the expressions gives 2(l + w), -2ab(b + 2a), (3x+2)(3x−2) and 3(x²+2x−6)

Factorization, also known as factoring, is the process of breaking a mathematical expression down into its individual factors. In algebra, factorization refers to the process of expressing a polynomial as a product of simpler polynomials, known as its factors.

To factorize an expression, you need to look for factors of that expression. That is:

1. 2l+2w

2l+2w = 2(l + w)

2. -2ab²-4a²b

-2ab²-4a²b = -2ab(b + 2a)

3. 9x²-4

9x²-4 = (3x+2)(3x−2)

4. y²+7x+12

This cannot be factorized

5. 3x²+6x-18​

3x²+6x-18​ = 3(x²+2x−6)

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Answer: The answer would be $96.

Step-by-step explanation: $78 increasing dramatically by $1.50 every month, 78+1.50x12=$96.

Answer:

$96

Step-by-step explanation:

78+1.5m is the expression, with m representing months. Since one year has 12 months, the expression is now 78+1.5*12, which equals 96.

The value of the specified finite sum is -15.

The correct option is D.

Subtraction is a mathematic operation. Which is used to remove terms or objects in an expression.

Given:

The finite sum,

[tex]\sum^n_{k=1}{a_k = 5[/tex],

and [tex]\sum^n_{k=1}{b_k = 10[/tex].

Now,

[tex]\sum^n_{k=1}{a_k -2b_k = \sum^n_{k=1}{a_k -2\sum^n_{k=1}{b_k[/tex]

Substituting the values,

[tex]\sum^n_{k=1}{a_k -2b_k[/tex] = 5 - 20

                      = -15

Therefore, the value is -15.

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Answer:

x = 10 (yes)

x = 14 (yes)

x = 6 (no)

x = 4 (no)

Step-by-step explanation:

Plug in each x value into the function and determine if it is true or not.

44 [tex]\leq[/tex] 35 + x

44 [tex]\leq[/tex] 35 + (10)

44 [tex]\leq[/tex] 45

45 is greater than or equal to 44, so it is a solution

44 [tex]\leq[/tex] 35 + (14)

44 [tex]\leq[/tex] 49

49 is greater than or equal to 44, so it is a solution

44 [tex]\leq[/tex] 35 + (6)

44 [tex]\leq[/tex] 41

41 is not greater than or equal to 44, so it is not a solution

44 [tex]\leq[/tex] 35 + (4)

44 [tex]\leq[/tex] 39

39 is not greater than or equal to 44, so it is not a solution

I hope this helps! :)

Answer:

Step-by-step explanation:

volume  of cylinder is

[tex]V = \pi r^{2}h[/tex]

In your cylinder, r = 20 and h =20

V = 3.14 x 20^2 x 20

   =25 120.00 ft^3

Please note: The numbers in the question seem wrong if your teacher wants you to round to the nearest hundredth.  Double check if the information.  They might have said " 0.1 times" instead of 1 times or they meant the nearest hundred instead of the nearest hundredth.  Please check.

Answer:

the answer would be están

When the function, m ( x)  = x + 1 is graphed, the result is shown attached.

When graphing a function, you need to remember that x is the independent variable. This means that you need to come up with the values of x and then use these values to come up with the corresponding values of y or m (x ) using the function.

Assuming you have values of x which are -3, -2, -1, 0, 1, 2, 3, the values of y would be:

x = - 3:
= x + 1

= - 3 + 1

= -2

x = - 2

= - 2 + 1

= - 1

x = - 1

= - 1 + 1

= 0

x = 0:

= 0 + 1

= 1

x = 1 :

= 1 + 1

= 2

x = 2 :

= 2 + 1

= 3

x = 3 :

= 3 + 1

= 4

The points would then be:
( - 3, - 2) , ( - 2, - 1) , ( - 1 , 0 ) ( 0, 1 ) ( 1, 2 ) ( 2, 3 ) ( 3, 4 )

The graph would be shown as attached.

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Answer:

Step-by-step explanation:

2 cups of lemon per 4 cups water

in 6 cups of lemonade, 2 cups lemon (2/6)

simplified 1/3

Answer:

[tex]\huge\boxed{18 + 0i}[/tex]

Step-by-step explanation:

= (3 + 3i)(3 - 3i)

= 3(3 - 3i) + 3i(3 - 3i)

= 9 - 9i + 9i - 9i²

= 9 - 9(-1)

= 9 + 9

In the form a + bi:

[tex]\rule[225]{225}{2}[/tex]

Answer:

Step-by-step explanation:

The solutions to the equation −2x+2=(1/3)^x+1 can be found by finding the values of x that make the two sides of the equation equal. To solve this equation, we need to find the x values where the graphs of f(x) and g(x) intersect.Since the two functions are not linear and have different forms, it's hard to find the exact solutions. One way to find the solution is to graph the functions and find the x values where the two graphs intersect.It's not possible to find the exact values of x that make the two sides of the equation equal, because the two functions don't intersect at any specific point. It's not possible to find an exact solution to this equation, so none of the options are correct.

The collateral for the loan that Jordan signed the finance agreement, is nothing. There was no collateral.

A loan that doesn't require any sort of collateral is known as an unsecured loan. Lenders approve unsecured loans based on a borrower's creditworthiness rather than their assets as collateral. Personal loans, school loans, and credit cards are a few examples of unsecured loans.

Since secured loans are safer for lenders to approve than unsecured loans, unsecured loans need better credit scores.

Jordan most likely made a purchase with her credit card and so the finance agreement she signed would therefore likely be an unsecured loan with no collateral.

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Answer:

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

As per given drawing PQ is the segment bisector of XY.

The point W is the midpoint of XY. As per property of midpoint, XW and WY have equal length.

XW = 13 units, hence:

Answer:

C. Flipping a two-sided coin with one side green and the other side blue

Step-by-step explanation:

The sample space, S, is a list of tge possible outcomes (results) of an event (coin-flipping, dice-rolling etc)

Unless its a trick question and you can argue that g and b also stand for heads/tails and A/B, then the answer C.

Answer: C: Flipping a two-sided coin with one side green and the other side blue

Step-by-step explanation: :)

The quantity of additive which Belle put in each can as required is; 1/8 pint.

It follows from the task content that the quantity of additive which Belle put in each can be determined if 1/2 of a pint of special paint additive is shared among 4 cans of paint.

The resulting expression which given the required quantity is;

1/2 ÷ 4

= 1/2 × 1/4

= 1/8.

On this note, the quantity of additive in each can of paint is 1/8 pint of special paint additive.

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Answer:

15500 Paise

In 1 rupee there are 100 paise therefore, 155 rupees after multiplying by 100 you will get the answer as 15500 paise

155×155=

24,025 p

This is the correct answer

Answer:

16

Step-by-step explanation:

Basically one-half of 32

one-half = 1/2

Hence, 1/2 x 32 = 16

The rest of the information is not needed, it is a trick.

Answer:

Step-by-step explanation:

B i guess

Answer: 27,800.0 cm[tex]^{3}[/tex] / 1,696.5 cu in.

Step-by-step explanation:

So Basically, If the Diameter is 12 and the height is 15 inches, the radius will be 6 inches making the Volume of the cylinder 1696.46 cu in.

Now if we were to round that to the nearest place it'd be 1,696.5 cu in.

However, If you want the answer in cm[tex]^{3}[/tex] it would be 27,800 cm making the rounded value 27,800.0 cm[tex]^{3}[/tex].

Hope that helped!

Answer:

A G.P is a sequence of numbers such that the ratio of any two consecutive terms is a constant, called the common ratio. Given the first term (3) and the common ratio (0.25) of the G.P, we can find the sum of the first 5 terms using the formula:

S_n = a(1 - r^n) / (1 - r)

Where:

S_n is the sum of the first n terms of the G.P.

a is the first term of the G.P.

r is the common ratio of the G.P.

n is the number of terms in the sum.

So, to find the sum of the first 5 terms of the G.P, we can substitute the given values into the formula:

S_5 = 3(1 - (0.25)^5) / (1 - 0.25)

S_5 = 3(1 - (0.25)^5) / (1 - 0.25) = 3(1 - 0.25^5) / (1 - 0.25) = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75

S_5 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75

S_5 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.

Answer:

3.996

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{7 cm}\underline{Sum of the first $n$ terms of a geometric series}\\\\$S_n=\dfrac{a(1-r^n)}{1-r}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}[/tex]

Given:

Substitute the given values into the formula to find the sum of the first 5 terms of a geometric progression whose first term is 3 and common ratio is 0.25:

[tex]\implies S_5=\dfrac{3(1-0.25^5)}{1-0.25}[/tex]

[tex]\implies S_5=\dfrac{3(1-0.00097656...)}{0.75}[/tex]

[tex]\implies S_5=\dfrac{3(0.999023437...)}{0.75}[/tex]

[tex]\implies S_5=\dfrac{2.99707031...}{0.75}[/tex]

[tex]\implies S_5=3.99609375[/tex]

[tex]\implies S_5=3.996\; \sf (4\;s.f.)[/tex]

Answer:

1 is p

2 is np

3 is p

4 is np

(should be right)

Step-by-step explanation:

The zeros of f(x) = 4x³ + 4x² -37x + 44, using the Factor Theorem, are given as follows:

x = -4, x = 1.5 + 0.707i and x = 1.5 - 0.707i.

The function for this problem is defined as follows:

f(x) = 4x³ + 4x² -37x + 44.

The first linear factor is given as follows:

x + 4 = 0

x = -4 is the first zero.

The Factor Theorem states that the polynomial can be written as a product of it's linear factors.

x + 4 is of the first degree, while the polynomial is of the third degree, hence the remaining linear factors form a second degree polynomial, thus:

(x + 4)(ax² + bx + c) = 4x³ + 4x² -37x + 44.

Then, multiplying on the left side, we have that:

ax³ + (4a + b)x² + (4b + c)x + 4c = 4x³ + 4x² -37x + 44.

Then the coefficients are given as follows:

Inserting these coefficients into a quadratic function calculator, the remaining zeros are given as follows:

x = 1.5 + 0.707i, x = 1.5 - 0.707i.

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Answer:

The slope is 3

Step-by-step explanation:

y = mx + b  The slope is the m.  It is the number before the letter x.

Answer:

2 * 1 ==> 1st option

Step-by-step explanation:

Matrix dimensions are:

number of rows by number of columns

The number of rows is 2   :   ( 2 and 12 are the rows)

The number of columns is 1   :  ( 2      

                                                    12 )    

Hence, the dimensions is 2 * 1.

Answer:

Step-by-step explanation:

The tractor-trailer rig is a fixed input under the circumstances described because it is necessary for the business to service this profitable market and it cannot be replaced with any other type of capital equipment. The tractor-trailer is a quasi-fixed input because it has a five-year contract that requires monthly lease payments, so it is not completely fixed in the sense that the business can replace it with another piece of capital equipment at any time.

Answer: The total fee for an item priced at $300 is $80.

Step-by-step explanation:

We can use the two given points to find the slope (m) and one point to find the y-intercept (b) of the line representing the consignment fee equation.

We know the two points are (500, 120) and (800, 180)

slope (m) = (y2-y1)/(x2-x1) = (180-120)/(800-500) = 60/300 = 0.2

Now we can use one of the point to find y-intercept (b)

120 = 0.2(500) + b

b = 20

Now we can use point-slope equation to find the total fee for an item priced at $300

y - 120 = 0.2(x - 500)

y = 0.2x + 20

The number-finding assignment to a subset of the numbers depending on the age and arithmetic proficiency .

A mathematical expression is a sentence with at least two variables or integers and one mathematical action. Addition, subtraction, multiplication, or division are all possible outcomes of this mathematical process. The following are the fundamental parts of an expression: Expression: (Math Operator, Number/Variable, Math Operator). A statement that has a least two numbers or variables, at least one mathematical operation, and is called a mathematical expression. Let's get acquainted with expressive writing. A number is 6 more than half of another number, which is known as x.

given

It is possible to locate more numbers in the challenge in some years than in others.

You might want to limit the number-finding assignment to a subset of the numbers depending on the age and arithmetic proficiency of your pupils as well as the amount of class time you want to allot to this task. The 2023 Challenge is available in 6 distinct iterations this year, which you can print and utilize with your pupils. Using the digits in 2023, set a challenge for your students to discover the numbers 1-10, 1-20, 1-30, 1-40, 1-50, or 1-100.

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Answer:

Step-by-step explanation:

A heptagon is a polygon with 7 sides.

Sum of all angles of a polygon with n sides = 180(n-2) = 180 x 5 = 900°

So, the degree of each angle will be 900/7 = 128.57 or ≈129°.

Thanks

Answer:

There are two terms in the expression

Step-by-step explanation:

2b is one term since it is multiplied together, and 6 is by itself and is the second term