Use the formula to evaluate the infinite series. Round to the nearest hundredth if necessary.

Formula for a converging infinite series. a1 is the first term and r is the common ratio.

A. 4
B. 1.33
C. 5.33

Answers

Answer 1

Answer:

4

Step-by-step explanation:

This is an infinite geometric series. This has a sum of  

Where

a is the first term, and

r is the common ratio (one term divided by the previous term)

Let's figure out the first 2 terms by plugging in n = 1 first and then n = 2 for the series.


Related Questions

AWNSER DOES ANYONE KNOW the wander PLEASE I WILL GIVE BRIANLIEST

Answers

Answer:

C - qd

Step-by-step explanation:

qid means four times a day

tid means three times a day

qd means every other day (answer)

qod also means every other day (but since it's not recommended to use this notation, the answer should be qd)

Answer:

C. qd

Step-by-step explanation:

qd stands for quaque die in latin. translated to english it means every day.

3.Original DNA sequence: 3' TACCGCTTACGTCTGATCGCT 5'


Mutated DNA sequence: 3' TACCGCTTATTATTACGTGCTGCTATCGCT 5'


Type of mutation (3pts):


Amino acid ( 3pts):


Type of mutation ( 3pts):


4. Original DNA sequence: 3' TACCGCTTACGTCTGATCGCT 5'


Mutated DNA sequence: 3' TACCGCTAATTATTACGTGCTGCTATCGCT 5'


Type of mutation ( 3pts) :


Amino acid ( 3pts):


Type of mutation ( 3pts):

Answers

3. The original sequence

TAC - CGC - TTA - CGT - CTG - ATC - GCT

codes for

tyr - arg - leu - arg - leu - ile - ala

while the mutated sequence codes for

TAC - CGC - TTA - TTA - TTA - CGT - GCT - GCT - ATC - GCT

tyr - arg - leu - leu - leu - arg - ala - ala - ile - ala

There are several frameshift mutations involved here:

• the first inserts 6 bases (TTA - TTA)

• the second inserts 1 base (G) before the CTG triplet (underlined)

• the third inserts 2 bases (CT) after the CTG triplet

4. The original sequence is the same as before. The mutated sequence

TAC - CGC - TAA - TTA - TTA - CGT - GCT - GCT - ATC - GCT

codes for

tyr - arg - STOP - leu - leu - arg - ala - ala - ile - ala

Then

• there is a (nonsense) point mutation that swaps T for A in the original TTA triplet (nonsense since it produces a stop codon that would halt replication/expression)

• there is a frameshift mutation that inserts 3 bases (TTA)

as well as two other frameshift mutations that also occurred in the previous part.

Ashley completes 3 homework assignments in 50 minutes. At this rate, how many minutes will it take her to complete 9 homework assignments?

Answers

Answer:

144

Step-by-step explanation:

divide 50 by 3 and then multiply by 9

Explanation=3=50 mins

9=150

150=9000 minutes

3. Solve the formula A = 1/2 (b1+ b2))h for h. Show your work. ​

Answers

[tex]A = \dfrac 12 (b_1 + b_2)h\\\\\implies 2A = (b_1+b_2) h\\\\\implies h =\dfrac{2A}{b_1+b_2}[/tex]

A triangle has two angles with measures of 50 degrees and 70 degrees joined by a side with a length of 20 centimeters.
Which figure represents this triangle?
709
50
O
20
50
2009
70
o
500
709
20
20
70°
50°

Answers

Answer:

Step-by-step explanation:

Given :-

Two angles in a triangle have measurements of 20° and 50 °.

To Find  :-

Measurement of third angles of triangle

Solution :-

We know that the sum of all angles of triangle is 180°.

Measurement of third angles = x

20° + 50° + x = 180°

combine like terms

70° + x = 180°

subtract both sides from 70°.

70° - 70° + x = 180° - 70°

x = 110 °

Hence, the measurement of the third angie of a triangle is 110°.

Answer:

The third option is the correct answer.

A flagpole has a 10 foot shadow. A soldier standing next to it is 6 foot tall and has a 2 foot shadow. How tall is the flagpole?

Answers

Answer:

30 feet tall flag pole

Step-by-step explanation:

Find the area of the figure.

7cm

8cm

11cm


Area is ___ square cm?

Answers

Answer:

616cm³

Step-by-step explanation:

you just need to multiply those numbers

7 x 8 x 11= 616

[tex]\text{Perimeter of the triangle,}\\\\ 2s = 7 + 8 +11 =26}\\\\\\\implies s = \dfrac{26}2 = 13\\\\\\\text{Apply Heron's formula to find the area of the triangle,}\\\\A = \sqrt{s(s-8)(s-7)(s-11)}\\\\\implies A = \sqrt{13(13-8)(13-7)(13-11)}\\\\\implies A = \sqrt{780} \\\\\implies A = 27.93~~ \text{cm}^2[/tex]

what is the equation of the line that passes through the point (4,0) and has a slope of 5/4?

Answers

Answer:

y=5/4x-5

Step-by-step explanation:

y-y1=m(x-x1)

y-0=5/4(x-4)

y=5/4(x-4)

y=5/4x-20/4

y=5/4x-5

x+18-3x=20 help me out

Answers

the bbc lenth is 19 which i like in my mouth an deven my throayt

Help pls, will give brainliest

Simplify 2^3 x 2^18

Answers

Answer:

it is 2^21

Step-by-step explanation:

Answer:

2^21

Step-by-step explanation:

add 3 and 18 together

dont change 2

Can someone help me? Will mark brainiest :)

Answers

the anser is 2 cuz i sad so, and i was droped don te stars as a lil kid ÆÆÆÆÆÆÆÆÆÆÆÆÆÆÆÆÆ

Donna buys 400 shares of stock for $23 per share and pays a 1% commission. She sells them 6 years later for $23.25 per share and pays a flat fee of $30.00. What is her total purchase cost?

Answers

Answer:

She sells them six years later for$23.25 per share, and pays a $30 flat fee. ... 1 of 4. Purchase price of 400 shares = 400*23 =9200. total purchase costStep-by-step explanation:

Solve two eighths times four fifths

Answers

1/5 is the answer if you taking about 2/8 times 4/5

Answer:

8/40 or 1/5

Step-by-step explanation:

2x4=8

8x5=40

That gives us the answer of 8/40 but if you need simplifying just divide 8/40 by 8/8 and you will get the final answer of 1/5

Mark has taken four tests so far this quarter. His grades were 88%, 95%, 80%, and 92%. What is the mean of his test scores?

Answers

88.75

88+95+80+92= 355
355 divided by 4= 88.75

Answer:

88.75%

Step-by-step explanation:

add all the terms given = 355

there are 4 terms.in this set.

355 ÷ 4 = 88.75

The sum of three terms in AP is 15. If the first two terms are each decreased by 1 and the last is increased by 1 then the resulting terms are in GP. find the numbers.​

Answers

Answer:

3, 5, ,7 or 9, 5, 1

Step-by-step explanation:

Let the three terms in AP be a - d, a & a + d

where a = First term and d = Common difference.

Condition 1: sum of three terms in AP is 15.

a - d + a + a + d = 15

3a = 15

a = 15/3

a = 5

Condition 2: When first two terms are each decreased by 1 and the last is increased by 1 then new terms so obtained will be as follows:

a - d - 1, a - 1, a + d + 1

These terms are in G.P.

[tex] {(a - 1)}^{2} = (a - d - 1)(a + d + 1) \\ \\ {(5 - 1)}^{2} = (5 - d - 1)(5 + d + 1) \\ \\ {(4)}^{2} = (4 - d)(6 + d) \\ \\ 16 = 24 + 4d - 6d - {d}^{2} \\ \\ 0 = 8 - 2d - {d}^{2} \\ \\ {d}^{2} + 2d - 8 = 0 \\ \\ {d}^{2} + 4d - 2d - 8 = 0 \\ \\ d(d + 4) - 2(d + 4) = 0 \\ \\ (d + 4)(d - 2) = 0 \\ \\ d + 4 = 0 \: \: or \: \: d - 2 = 0 \\ \\ d = - 4 \: \: or \: \: d = 2 \\ \\ when \: d = - 4 \\ \\ a - d = 5 - ( - 4) = 9 \\ a = 5 \\ a + d = 5 - 4 = 1 \\ \\ when \: d = 2 \\ a - d = 5 - 2 = 3 \\ a = 5 \\ a + d = 5 + 2 = 7 \\ \\ thus \: three \: terms \: in \: AP \: are: \\9, \: 5, \: 1 \: \: or \: \: 3, \: 5, \: 7[/tex]

y=5/9x+9, find the slope

Answers

the slope would be 4/9

The polygons are similar. The area of one polygon is given. Find the area of the other polygon.

Answers

Answer:

108 ft²

Step-by-step explanation:

For the polygon on the left, we are given the length of one side (3 ft) and the total area (27 ft²). With this information, we can determine the length of the other side - 9 ft. I found this by dividing 27 ft² by 3 ft, giving me the final result of 9 ft.

Next, we have to find the other side of the polygon on the right so we can ultimately determine its area. It looks like there is a scale factor of 2 between the two polygons, since 3 × 2 = 6. We know that the bottom side of the left polygon is 9, so multiplying 9 by 2 should give us the bottom side of the polygon on the right. 9 × 2 = 18.

Now, we have the side lengths for the polygon on the right and can determine its area. What is 6 ft × 18 ft? Well, the answer is 107 ft², and this is the answer to the question.

Hopefully that's helpful! :)

What is the definition of correspondence?

Answers

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer....

an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane.

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

The definition of correspondence is the act of conforming or agreeing with someone or something else. An example of correspondence is when a person acts in the same way she appears to think.

In simple terms, it means communication, generally looking at two things and identifying stuff about them

Hope that helps. x

In the equation 9.55 1.10 = 10.505, what are the factors? A. 9.55 and 10.505 C. 9.55 and 10.505 B. 1.10 and 10.505 D. 9.55 and 1.10​

Answers

Answer:

D. 9.55 and 1.10​

Step-by-step explanation:

9.55*1.10=10.505

Then the factors are 9.55 and 1.10​

This is because factors are what makes the product so 9.55 times 1.10​ is 10.505

So D. 9.55 and 1.10​ is correct

Hope this helps!

help me plsssssssssssssssss

Answers

Answer:

D

Step-by-step explanation:

Given that the starting population is 150 wolves, let the time when there will 25 wolves left be x, then

The increase in the number of wolves due to births is given by 150(1 + 0.15)^t = 150(1.15)^t

The decrease in the number of wolves due to dirths is given by 150(1 - 0.37)^t = 150(0.63)^t.

The number of wolves at time t is given by 150(1.15)^t - 150(0.63)^t = 150((1.15)^t - (0.63)^t).

Therefore, the function that could be used to predict when there will be 25 wolves in this group  is 150((1.15)^t - (0.63)^t) = 25. (option D).

Which of the following is a correct interpretation of the expression 5−8

Answers

Answer:

start at 5 on the number line and move 8 to the left.

Step-by-step explanation:

The answer is: A - Start at 5 on the number line and move 8 to the left.

Explanation:

5 - 8 = -3

Therefore the final answer should be placed at negative three on the number line.

When you move to the left eight times away from the number five, the answer would be negative three.

y
is directly proportional to
x
2
.
If
y
=
8
when
x
=
2
find
y
when
x
=
3

Answers

Answer:

y = 18 when x = 3

Step-by-step explanation:

y is directly proportional to x^2, meaning:

[tex]y=ax^2[/tex]

where a is the proportion between them. We're given the values for both x and y, so plug those in and solve for a:

[tex]8=a(2)^2\\8=a4\\2=a\\a=2[/tex]

Now you can use a to solve for y when x is 3:

[tex]y=ax^2\\y=(2)(3)^2\\y=2(9)\\y=18[/tex]

I need help I need help

Answers

you look to see how many sides are congruent as well as the angles. there are one side and one angle that are congruent.

Answer: The are of the triangle is 42 because 9=9=9 is 42 look i just want points

Step-by-step explanation:

PLS HELPPPPP!!!!!!!!

Answers

Answer:

not even bill nye could solve this

Solve the following system: 5x + 4y = 6 -2x – 3y = -1​

Answers

Answer:

[tex]\left \{ {{y=-1} \atop {x=2}} \right.[/tex]

Step-by-step explanation:

[tex]\left \{ {{5x+4y=6} \atop {-2x-3y=-1}} \right. <=> \left \{ {{10x+8y=12} \atop {-10x-15y=-5}} \right.<=> \left \{ {{-7y=7} \atop {-10x-15y=-5}} \right. <=> \left \{ {{y=-1} \atop {-10x-15y=-5}} \right. <=> \left \{ {{y=-1} \atop {-10x+15=-5}} \right. <=>\left \{ {{y=-1} \atop {-10x=-20}} \right. => \left \{ {{y=-1} \atop {x=2}} \right.[/tex]

what is the unit rate if there are 1,760 in 8 servings

Answers

Answer:

Unit rate = 220 calories

Step-by-step explanation:

In order to find the unit rate, you simply have to divide the total number of calories (1760) by the number of servings (8).

1760/8=220.

Therefore, the unit rate is 220 calories.


Malik needed to get his computer fixed. He took it to the repair store. The technician
at the store worked on the computer for 2.5 hours and charged him $73 for parts. The
total was $235.50. Write and solve an equation which can be used to determine x, the
cost of the labor per hour.

Answers

Answer:

2.5x+73=235.5

2.5x=162.5

x=65

ANSWER NUMBER 500 L GOOOOOOOO!!!!!!!!!!!!!!!!!

Hope This Helps!!!

The equation will be 2.5x+73=235.5 and the value of x will be 65.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Malik needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 2.5 hours and charged him $73 for parts. The total was $235.50.

The equation can be written as below:-

2.5x+73=235.5

2.5x=162.5

x=65

Therefore, the equation will be 2.5x+73=235.5 and the value of x will be 65.

To know more about an expression follow

https://brainly.com/question/26459884

#SPJ2

Katerina is a real estate agent. Katerina works on a 4% commission. She earns a $4200
commission. What was the value of the house that she sold?

Answers

Answer:

105,000

Step-by-step explanation:

Question 9
The probability that a vehicle will change lanes while making a turn is 55%.
Suppose a random sample of 7 vehicles are observed making turns at a
busy intersection.
Calculate the expected value.

Answers

Answer:

3.85 (rounded to 4 cars)

Step-by-step explanation:

Let X be the discrete random variable the number of vehicles changing lanes

X~B(7, 0.55)

The expected value is found by:

E(X) = 7 × 0.55

E(X) = 3.85

If 3 paintings cost $30, then how much does 1 painting cost?

Answers

Answer:

10$

Step-by-step explanation:

because 10$ + 10$ + 10$ equals 30$ so one is 30$

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