Help me please please:(

The first series diverges because each successive term is getting multiplied by -3, so the common ratio is larger than 1 in magnitude.

Assuming the second series is

3 - 3/2 + 3/4 - 3/8 + ...

then it converges because the common ratio between terms is -1/2, which is less than 1 in magnitude.

To find the value of the sum, let S denote the n-th partial sum, i.e. the sum of the first n terms in the series:

S = 3 - 3/2 + 3/4 - 3/8 + ... + 3(-1/2)^(n - 2) + 3(-1/2)^(n - 1)

Multiply both sides by -1/2:

(-1/2) S = -3/2 + 3/4 - 3/8 + 3/16 - ... + 3(-1/2)^(n - 1) + 3(-1/2)^n

When we subtract S and (-1/2) S, we see all the middle terms canceling, and we can solve for S:

S - (-1/2) S = 3 - 3(-1/2)^n

S/2 = 3[1 - (-1/2)^n]

S = 6[1 - (-1/2)^n]

As n gets larger, the (-1/2)^n term will converge to 0, leaving us with

lim (n -> infinity) S = 6

so that the series converges to 6.

Answer:

A. Amount(hours worked)  

Step-by-step explanation:

Function notation is a way of converting a written description of a function to a concise form that is easy to read.

It is another way of representing the y-value in a function, y = ƒ(something)

Let's convert the word expression to function notation:

Answer:  5, 8

Step-by-step explanation:

The difference between 3 times a number and -8 is BETWEEN 23 and 32

Note: "difference" means subtraction --> 3x - (-8)  --> 3x + 8

               23 < 3x + 8 < 32

               15 < 3x        < 24           subtracted 8 from all 3 sides

-->             5 <   x        <   8          divided 3 from all 3 sides

Answer: False, language is a more specific word.

Step-by-step explanation:

Language is a complex and structured system of communication.

This word particularly refers to the "artificial codes or ciphers" that humans use to communicate.

The thing in the sentence is more general than language, this refers to communication:

"Communication is a complex system that includes the ways we express ourselves, such as speaking or writing, and ways we receive information, such as listening and reading."

So the actual sentence is false.

Answer:

-15m-20

Step-by-step explanation:

-5(3m+4)

you have to multiply -5 by 3m and 4

-5x3m=-15m and -5x4 would be -20

so it would be -15m-20

Answer:

Square ABCD was translated using the rule (x, y) → (x - 4, y + 15) to form A'B'C'D'.

Answer:

C. Similar objects have congruent angles and proportional sides.

Step-by-step explanation:

I took the test.

The correct option regarding the statement will be C. Similar objects have congruent angles and proportional sides.

It should be noted that similar objects are identical. Therefore, similar objects have congruent angles and proportional sides.

It should be noted that they don't have objects have congruent angles and congruent sides.

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Answer: 1. €37 and €17

2. €34

Step-by-step explanation:

Given Data:

Cost of 1/4kg of chorizo = €9.25

Cost of 1/2kg of cheese = €8.50

Therefore:

1. Cost of 1kg of each product.

If 1/4 kg or chorizo cost €9.25,

1kg = 1/4 which is known as one fourth or one quarter. There are 4 one fourth in 1

1kg = 1/4 + 1/4 + 1/4 + 1/4

Or

1kg = 4 * €9.25

1kg = €37

Cost of 1kg of chorizo is €37

Cost of 1kg of cheese

If 1/2kg = €8.50

Then; 1kg = 1/2 + 1/2

1kg = €8.50 + €8.50

1kg = €17

Cost of 1kg of cheese = €17

2. Cost of 2kg of cheese.

If 1kg of cheese cost €17

2kg = 2 * €17

2kg = €34

Cost of 2kg of cheese is €34

Answer:

54%

Step-by-step explanation:

20% of 60 = 48

15% of 40 = 6

48 + 6 = 54 fail

Answer:

75

Step-by-step explanation:

Answer: (x - 1)(x + 1)(x + 7)²

Step-by-step explanation:

x⁴ + 6x² - 7

find two numbers whose product is -7 and sum is +6    -->    -1 & 7

Those values go into the parenthesis: (x² - 1)(x + 7)²

Notice that (x² - 1) is the difference of squares  -->  (x - 1)(x + 1)

Answer:

B

Step-by-step explanation:

circumference can be found using formula 2 x pi x radius

radius of the entire trampoline = 7 ft

2 x 3.14 x 7 = 14 x 3.14 = 43.96

Rounded = 44.0 ft = B

Answer:

B

Step-by-step explanation:

The length around a circle, or the circumference, can be found with the formula [tex]\pi d[/tex], where d is the diameter. Therefore, the length of the frame is [tex]\pi \cdot 14\approx 44[/tex]. Hope this helps!

Answer:

-2y^3+y^2+2y-6

Step-by-step explanation:

(-4y^3 + y^2 - y - 3) - (-2y^3 - 3y + 3)

Distribute the minus sign

(-4y^3 + y^2 - y - 3) +2y^3 + 3y - 3

Combine like terms

-4y^3 +2y^3 +y^2 -y+3y -3-3

-2y^3+y^2+2y-6

Answer:

3 km

Step-by-step explanation:

Arc length formula:  s = rФ, where Ф is the central angle in radians.

Here the arc length is s = (4 km)(135π/180) = 3 km

Answer:

4.5

Step-by-step explanation:

5(2x+1)=50

5(2x)+5(1)=50

10x+5=50

10x=45

x=4.5

Hope this helps!

Answer:

4.5

Step-by-step explanation:

To solve, expand first

5(2x+1) = 5 x 2x + 5 x 1 = 10x + 5

Now, we have

10x+5 = 50

Rearrange:

10x+5 = 50

10x = 45

x = 4.5

Hope this helps,

Good Luck

Answer:

10 ounces

Step-by-step explanation:

Convert the original container into ounces. (1 quart=32 ounces)

5 x 32 = 160 ounces

Then the milk is divided into two containers.

160 / 2 = 80

Each container is then divided into 8 glasses.

80 / 8 = 10

Each glass has 10 ounces of milk in it.

Answer:

50/10=5 so the ratio is 5 times more

there was 6 sheets of red paper and there is 5 times more so 5 x 6 = 30 red sheets

30 red sheets

Hope this helps

Step-by-step explanation:

Answer:

30 sheets of red paper

Step-by-step explanation:

Using proportion,

If 10 sheets of yellow paper = 6 sheets of red paper

then 50 sheets of yellow paper = ? sheets of red paper

[tex]\frac{50 sheets of yellow paper}{10sheets of yellow paper} * 6 sheets of red paper[/tex]

= 5 * 6 sheets of red paper

= 30 sheets of red paper

Answer:

700/1=700

Th ratio is 700 times more so we multiply by 700

700 x 0.72 = 504

504 pounds

Hope this helps

Step-by-step explanation:

She will get 504 pounds by multiplying 700×0.72= 504.

Official currency substitution helps to promote fiscal and monetary discipline and thus greater macroeconomic stability and lower inflation rates, to lower real exchange rate volatility, and possibly to deepen the financial system.

Many banks offer currency exchange to their customers. Though there may be a small fee, your bank or credit union will almost always be the best place to exchange currency (and the cheapest).

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Answer:

f of 5 equals negative 1

Step-by-step explanation:

equation- f(x) = -x + 4

f(5) = -5 + 4

f(5) = -1

Answer:

f(5)=-1

Step-by-step explanation:

To find : Probability that person doesn't use any facility

Given : Total people = 130 ; People using gym (G), Swimming Pool (S), Track (T) = 73, 62, 58 respectively. People using G & P, P & T, G & T = 22, 29, 25. People using P & G & T = 11

So : Prob (G) = 73/ 130 , Prob (S) = 62/130 , Prob (T) = 58/130

P (G ∩ P) = 22 / 130 , P (P ∩ T) = 29 / 130 , P (G ∩ T) = 25 / 130 , P (P ∩ G ∩ T) = 11 / 130

Prob [ Person uses either P or G or T ] :

P (PUGUT) = P(G) + P (S) + P (T) - P (G ∩ P) - P (P ∩ T) - P (G ∩ T) - 2 P (P∩G∩T) = ( 73 + 62 + 58 - 22 - 29 - 25 - 22) / 130 = 95 / 130

Prob [Person uses neither P or G or T] : 1 - Pr [Person uses either  P or G or T] = 1 - P (PUGUT) = 1 - (95 / 130) = 35 / 130

Hence, Probability that person doesn't use any facility = 35 / 130

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Answer:flying gorillla

Step-by-step explanation:because no

Answer:

False

Step-by-step explanation:

Vertical angles are opposite to each other, so they are not adjacent.

Answer:

y=8x+12

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = x

-2x + 4y = 16

-2x + 4x = 16

2x = 16

x = 8

y = 8

(8,8)

Answer:

Since y=x, then both variables must be the same.

-2x + 4y= 16

You have to have 16 on both sides

-2(8) + 4(8)=16

-16 + 32= 16

         16=16

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Identifying a proportion Which proportion resulted in the equation 3a = 7b

Answer:

B

Step-by-step explanation:

Answer: $ 1361.04

Step-by-step explanation:

Discount will be 1060 * 20% = 212

Sales price 1060 + 212 = 1272

Tax 7% = 89.04

Kelly paid 1272 + 89.04 = 1361.04

Answer:

2

Step-by-step explanation:

Angles 3 and 5 are alternate interior angles because they are inside the lines and are on opposite sides of the transversal.

This means they are equal to one another, so 2 is correct because they are alternate interior and angle 5 will be 140 degrees.

Answer:

3/2

Step-by-step explanation:

3/2 is greater than 1. 6/8 is less than one.

The study with an error range of +-6 percentage points would be the most reliable.

As larger error ranges, such as options B, C, and D, indicate a greater degree of uncertainty and variability in the dat This reduces the reliability and precision of the study's findings.

So, when all other factors are equal, a study with a smaller error range, like with +-6 percentage points, would be considered more reliable.

Thus, with an error range of +-6 percentage points, has the smallest range.

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Answer:

[tex]90= 2 \times 3^2 \times 5[/tex]

Step-by-step explanation:

[tex]90= 2 \times 3 \times 3 \times 5[/tex]

[tex]90= 2 \times 3^2 \times 5[/tex]

Answer:

2,3,5

What does prime number mean?

=> A prime number is a number which can be written only as a product of 1 and itself.

Please see the attached picture

Hope it helps..

Good luck on your assignment..

Answer:

(1) The formula to calculate simple interest (SI), with principal = 600$, annual rate = 4% = 0.04, and time = 9 months is:

SI = principal x rate x time

   = 600 x (0.04/12) x 9

   = 18$

(2) The formula to calculate the time that man walked 3.75 km, with rate of 1.25:

Time = Distance/Rate

         = 3.75/1.25

         = 3

Hope this helps!