Find the 7th term of the geometric sequence: 4, 14, 49, ...

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]a_2=a_1*r=>14=4*r=>r=\frac{7}{2}\\a_n=a_1*r^{n-1}=>a_7=a_1*r^{7-1}=4*(\frac{7}{2})^6=\frac{117649}{16}\\\\a_7=\frac{117649}{16}[/tex]


Related Questions

Soosie's Cookie Company had fixed costs of $1250 and variable costs of $4.25 per dozen gourmet cookies that were baked and packaged for sale. Write an equation that can be used to determine the total cost when x dozens of cookies are baked and sold. Then determine the total cost of baking and selling 85 dozen gourmet cookies.

Answers

Answer:

$1250.00 + (x)$4.25 =

Step-by-step explanation

So fixed costs are $1,250.00.....every dozen you bake add $4.25 to the costs, cook one dozen you have $1,250.00 plus $4.25 or a total of $1,254.25.

Cook 10 dozen and you add $45.25 = the $1,250.00 for a new total of $1,295.25.

Which system of inequalities has the solution set shown in the graph?
25 < (x – 1)2 + y2 and 16 > x2 + (y + 4)2
25 > (x – 1)2 + y2 and 16 > x2 + (y + 4)2
25 < (x – 1)2 + y2 and 16 < x2 + (y + 4)2
25 > (x – 1)2 + y2 and 16 < x2 + (y + 4)2
lmoa what

Answers

Answer:

A. 25 < (x – 1)² + y² and 16 > x² + (y + 4)²

Step-by-step explanation:

the solutions are in the outside of the bigger circle, but inside of the smaller circle

The inequality is 25 < (x – 1)² + y² and 16 > x² + (y + 4)². Option A is correct.

What is inequality?

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to, > ‘greater than, or < ‘less than.

The solutions are on the outside of the bigger circle, but inside of the smaller circle.

The radius of the bigger circle is 5 and the radius of the smaller circle is 4. The graph of the inequality is attached with the answer below.

To know more about inequality follow

https://brainly.com/question/24372553

#SPJ5

Which of the following is the product of 7/8 and -4/21?  a.- 1/6 b.1/12 c.- 16/21 d.- 147/32​

Answers

Answer:

A. -1/6

Step-by-step explanation:

7/8 × -4/217 can be divided by 21 wich will make the fraction -4/21 turn to -4/3 and the fraction 7/8 turn to 1/8-4 can be divided by eight which will make the fraction 1/8 turn to 1/2 and the fraction -4/3 will turn to -1/31/2 × -1/3 = -1/6

The product of 7/8 and -4/21 is a.- 1/6.

What is the product?

In mathematics, a product is the result of multiplication, or an expression that identifies factors to be multiplied.

Now the given numbers are,

7/8 and -4/21

now taking 7/8 and since 8= 4*2

so, 7/8 = 7/(4*2)

Again taking -4/28 and since 28 = 7*4

so, -4/21 = -4/(7*3)

hence the product of 7/8 and -4/21 is given as,

7/8*(-4/21) = 7/(4*2) x -4/(7*3)

taking alike terms together we get,

7/8*(-4/28) = (7/7)(4/4)(-1/2*3)

⇒ 7/8*(-4/28) = -1/6

Hence the correct option is a.-1/6

Therefore,The product of 7/8 and -4/21 is a.- 1/6.

Learn more about product :

https://brainly.com/question/1549083

#SPJ6

Use the Squeeze Theorem ​

Answers

Answer:

See Below.

Step-by-step explanation:

We want to use the Squeeze Theorem to show that:

[tex]\displaystyle \lim_{x \to 0}\left(x^2\sin\left(\frac{2}{x}\right)\right)=0[/tex]

Recall that according to the Squeeze Theorem, if:

[tex]\displaystyle g(x)\leq f(x) \leq h(x)[/tex]

And:

[tex]\displaystyle \lim_{x\to c}g(x) =\lim_{x\to c}h(x) = L[/tex]

Then:

[tex]\displaystyle \lim_{x\to c}f(x)=L[/tex]

Recall that the value of sine is always ≥ -1 and ≤ 1. Hence:

[tex]\displaystyle -1 \leq \sin\left(\frac{2}{x}\right) \leq 1[/tex]

We can multiply both sides by x². Since this value is always positive, we do not need to change the signs. Hence:

[tex]\displaystyle -x^2\leq x^2\sin\left(\frac{2}{x}\right)\leq x^2[/tex]

Let g = -x², h = x², and f = x²sin(2 / x). We can see that:

[tex]\displaystyle \lim_{x \to 0}g(x) = \lim_{ x \to 0}h(x) = 0[/tex]

And since g(x) ≤ f(x) ≤ h(x), we can conclude using the Squeeze Theorem that:

[tex]\displaystyle \lim_{x \to 0}f(x) = \lim_{x \to 0}x^2\sin\left(\frac{2}{x}\right)=0[/tex]

In the video, you saw that Michael used a budget to make sure he pays bills when they’re due. What are some other reasons someone would want to create a budget?

Answers

Someone might want to create a budget to treat themselves later with their saved money. Another reason it is good to have a budget is to not max out your credit card.

X/30 + X/40= 1
Solve for x

Answers

Answer:

17 1/7 I think

Step-by-step explanation:

x=17.1

Step-by-step explanation:

[tex] \frac{x}{30} + \frac{x}{40} = 1 \\ \frac{3x + 4x}{120} = 1 \\ \frac{7x}{120} = 1 \\ \frac{7x}{120} = 1 \\ 7x = 120 \\ x = \frac{120}{7} \\ x =17.1 [/tex]

Help me out thankssssss !!!!!!

Answers

Answer:

78/2=39°

Step-by-step explanation:

thx for the points

Inequality of y<-4+3 on graph

Answers

Answer:

[tex]y < - 1[/tex]

Step-by-step explanation:

[tex]y < - 4 + 3[/tex]

[tex]y < - 1[/tex]

Hope it is helpful...

[tex] \sf \: y < - 4 + 3 \\ \sf \: y < - 1[/tex]

[tex] \sf \: Just \: add \: - 4 \: and \: 3 \: and \: you \: \\ \sf will \: get \: the \: inequality \: in \: the \: simplest \: form.[/tex]

9)
10)
22x - 2
8x + 2
A) 5
B) 6
D 2
C) 8
A 5
C) -10

Answers

Answer:

I don't know

Step-by-step explanation:

could you screenshot your question or reword it. I don't know what you're asking. Sorry.

The length of a rectangle is 4 meters more than the width of the rectangle. The perimeter of the rectangle is 40 meters. What are the length and the width of the rectangle? *

Answers

Answer:

snsjduddiebidjddkddnjdnkdkskidndjndjxdn in dhjsndjsjeidndjdjddixdjdnejd

Question 2.1
Solve the following problem. Round to one decimal place if
necessary. If your answer is correct you will see an image
appear on your screen.

Answers

Answer:

x = 5.3

Step-by-step explanation:

Reference angle (θ) = 24°

Opposite side to the reference angle = x

Adjacent side = 12

Apply TOA, which is:

Tan θ = Opp/Adj

Plug in the values

Tan 24° = x/12

12*Tan 24° = x

5.34274422 = x

x = 5.3 (approximated to one decimal place)

Help out omggggg !!!!!!

Answers

Answer:

sorry the diagram is not clear......

Jake has a 1 in 5 chance of winning the egg and spoon race.
what is the probability that he will NOT win the race
8%
20%
60%
80%

Answers

Answer:

Step-by-step explanation:

1 in 5 = 1/5 = 20% that he wins

Probability that he will NOT win

= 1 - 20%

= 100% -20%

= 80%

Answer:

80%

Step-by-step explanation:

percentage of winning

1/5×100%=20%

percentage of not winning

100%_20%=80%

Some help with this pleaseee!

Answers

Answer:

g(x) = |x| + 7

Step-by-step explanation:

Adding the constant +7 on the end of the equation means a translation 7 units up.

ITEM
UNIT COST
Belt
$1,500
Handbag
$11,540
Leather Gloves
S2,999
Sunglasses
$8,680
Watch
$15,460
14" Satin Bonnet
$1,127
1. What will be the cost for an 18" satin bonnet?​

Answers

Answer:

1,449

Step-by-step explanation:

suppose a charity received a donation of $26.2 million. if this represents 49% of the charity's donated funds, what is the total amount of its donated funds? round your answer to the nearest million​

Answers

Answer:

53 million.

Step-by-step explanation:

$26.2 / total = 0.49 ($ in millions)

Then total = (26.2) ÷ 0.49 = 53.47 millions which we can round up to 53 million $

Plss help Give brainiest if right!

One pipe can fill the pool in 6 hours. The second pipe can drain
the pool in 18 hours. How long will it take to fill the pool if the
two pipes are both working?

Answers

I think it’d be 3 hours because doing double the work would cut half the time.

Answer:

Will take 8hrs.

Step-by-step explanation:

if pipe 1 takes 6 hrs then the 2nd pipe drains it 3x slower

Which means pipe 1 will take 1 hr slower every 3 hrs taken

and will be at ratio 3:2 for when pipe 2 is used

6 + 2 = 8 (hrs)

Will take 8hrs.

Answer a, b and c. See image below

Answers

Answer:

a) 3/5 < 4/5

b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.

c)  [tex]\frac{7}{10} > \frac{9}{15}[/tex]  or  [tex]\frac{7}{10}<\frac{9}{15}[/tex]

Step-by-step explanation:

a) 3/5 < 4/5

Flip the sign and the placement of the fraction so 3/5 is less then 4/5.

b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.

c) We need to change the denominators to a common denominator to compare the size of the two fractions:

[tex]\frac{7}{10}[/tex] × [tex]\frac{3}{3}[/tex] = [tex]\frac{21}{30}[/tex]

[tex]\frac{9}{15}[/tex] ×  [tex]\frac{2}{2}[/tex] = [tex]\frac{18}{30}[/tex]

The common denominators of the two fractions is 30. Comparing the two fractions:

[tex]\frac{21}{30} >\frac{18}{30}[/tex]  or  [tex]\frac{18}{30}<\frac{21}{30}[/tex]

so we get:  [tex]\frac{7}{10} > \frac{9}{15}[/tex]  or  [tex]\frac{7}{10}<\frac{9}{15}[/tex]

1. Find the value of x.
X+ 15.92 = 21.378

Answers

Answer:

x= 5.458

Step-by-step explanation:

x+15.92 = 21.378

  - 15.92   - 15.92

x = 5.458

Helpful hint: You just have to use inverse opperation to solve these problems

So, basically the opposite of what it is.

PLZ HELP ASAP !! WILL MARK THE BRAINLYIST !!!

Solve for X

A) 40
B) 42
C) 45
D) 38

Answers

Answer:

C : 45

Step-by-step explanation:

Have a nice day :)

using a=15 b=12 c=21 is the triangle ABC a right angle triangle

Answers

yes it is a right triangle with the Pythagorean Theorem

no links, if ur right i’ll give u brainlist!!

Answers

Answer:

answer is C. if im wrong just let me know :3

A standard deck of 52 cards has 4 suits (spades, clubs, hearts, and diamonds) with 13 different cards (ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king) in each suit. If you are dealt exactly two cards from the deck without replacement, what is the probability that you are dealt a pair (matching cards in different suits)

Answers

Answer:

P(a pair with matching cards in different suits) = 1/52

Step-by-step explanation:

We are told that there are 4 suites and each suit has 13 different cards. This is a total of 52 cards.

Thus;

Probability of selecting one card of a particular suit = 13/52 = 1/4

If we now want to select a matching card of another suit without replacing the first one, then, we now have; 52 - 13 = 39 cards. Now, there are only 3 matching cards of the 3 remaining suits that is same as the first card drawn.

Thus; probability = 3/39 = 1/13

Thus;

P(a pair with matching cards in different suits) = 1/4 × 1/13

P(a pair with matching cards in different suits) = 1/52

Write a number in which the digit 1 is worth 10 times as much as it is in 62,901

Answers

Answer:9

Step-by-step explanation:

No step

Answer:

the answer for this is 1

Step-by-step explanation:

cause ten times of 1 is 1.

Please don't confuse yourself with

1 times of 10.that one is 10

ten times of 1, means 1×1×1×1×1×1×1×1×1×1 it is still 1.

the second one is 10 ×1 =10.

2. Graph on a coordinate plane or explain how to graph: x = 5

Answers

Answer:

x = 5 is a vertical line at x = 5

Find the distance between the pair of points: (2,6) and (0,−3).

Answers

Answer:

d = √85

Step-by-step explanation:

d^2 = (X2 - X1)^2 + (Y2 - Y1)^2

= (2 - 0)^2 + (6 + 3)^2

= 4 + 81

d = √85

you spin the spinner once
What is P(5)?

Answers

0-10

A spinner is split into 11 different pieces so you are less likely to land on five than the other numbers.

The probability of getting 5 on spinner is 0.25.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that, on the spinner there are four numbers {3, 4, 5, 6}.

Number of favorable outcomes = 1

Total number of outcomes = 4

So, P(5) = 1/4

= 0.25

Therefore, the probability of getting 5 on spinner is 0.25.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ2

1. how many cubic meters are in 250,000 cubic centimeters?
A. 0.025m³ B. 0.25m³ C. 2.50 m³ D. 25

2. the volume of an ordinary box is 3.5 m³. wxpress its volume in cm³?
A. 350 cm³ B. 35000 cm³ C. 3500000 cm³ D. 35000000 cm³

3. Write 1.6 dm³ in cubic centemeters.
A. 1.6 cm B. 16 cm³ C. 160 cm³ D. 1600 cm

4. What is 500dm³ in m³?
A. 0.005 m³ B. 0.05m³ C. 0.5 m³ D. 5 m³

Answers

Answer:

1) 1m³ is 100cm*100cm*100cm = 1,000,000cm³

so 250,00cm³ are just 0.25m³

2) looking at the conversion above, three point five million is correct

3) 1dm³ = 10cm*10cm*10cm = 1,000cm³

D, as in Dewey Duck

4) 1m³ = 10dm*10dm*10dm = 1,000dm³

see that it's C?

Find the volume of this figure

Answers

Answer:

A

Step-by-step explanation:

36*12*6+12*24*3=3456

Answer:

3456

Step-by-step explanation:

36*12*6 + 24*12*3

just add up the two volumes

The city of Raleigh has 10000 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 200 randomly selected registered voters was conducted. 72 said they'd vote for Brown, 118 said they'd vote for Feliz, and 10 were undecided. Give the sample statistic for the proportion of voters surveyed who said they'd vote for Brown. Note: The proportion should be a fraction or decimal, not a percent.

Answers

Answer:

0.36

Step-by-step explanation:

Given, There Are 10000 Registered Voters in a City & Two Candidates Brown & Felix .

The Day Before Election , A Telephonic Poll Of 200 Randomly Registered Voters Was Conducted .

72 said they would vote for Brown , 118 Said they would vote for felix & 10 Were Undicided .

Now, The sample statistic is the number who would vote for Brown divided by the total number in the sample, or 72/200 = 0.36    

& To Find How Many of 10000 voters to vote Brown Just Multiply 0.36 With 10000 ⇔ 0.36×10000=3600

Other Questions
how media exercise its roles and responsibilities in reporting on gbv in democracy truth or false truth or falsetruth or falsei need it right now plss Which sentence uses the word envisioned correctly? Federicosiempre muy antiptico.-A. soisB. estC. eresD. es B. Subraye con una lnea los complementos directos, con dos loscomplementos indirectos y con tres los complementos circunstanciales.1. Puse las joyas en la maleta.2. Abelardo jug el dinero.3. Ismael le explica los verbos a Pepe.4. Los terremotos destruyeron la ciudad de Antigua.5. Los alumnos devolvieron los libros a la maestra.6. El delincuente pagar su deuda a la sociedad.7. Ella dijo que ira con Miguel a la reunin.8. Los hroes ofrendaron su vida a la patria.9. Mandaron saludos a sus antiguos profesores.10. Los Rodrguez no van conmigo en el coche, van con Orlando y Jos. The skiers glide quickly and easily over the fresh snow.What is the action verb in the sentence? Help! This question is nowhere in the internet! anyone help with this science question? Read the sentence from "Fish Cheeks,She was pulling black veins out of the backs of fleshy prawns.The description in this sentenceauses precise language to describe what Tan saw.O contains a detail that appeals to the sense of taste.uses figurative language to describe the prawns.O contains a simile that compares prawns to flesh. Which sentence has a dangling modifier?Following in her fathers footsteps, the graduate received her law degree.Although elderly, driving to the store was not a problem.While eating a nice restaurant, the patron admired the silverware.Once on the beach, the vacationers applied sunscreen. 1.roosevelt made a thorough research amelia earhart.a.consideration b.examinationc.going-overd.consulation Triptych Food Corp. Income Statement For the Year Ending on December 31 (Millions of dollars) Year 2 Year 1 Net Sales 6,350 5,000 Operating costs except depreciation and amortization 1,120 1,040 Depreciation and amortization 318 200 Total Operating Costs 1,438 1,240 Operating Income (or EBIT) 4,912 3,760 Less: Interest 663 489 Earnings before taxes (EBT) 4,249 3,271 Less: Taxes (25%) 1,062 818 Net Income 3,187 2,453 Calculate the profitability ratios of Triptych Food Corp. in the following table. Convert all calculations to a percentage rounded to two decimal places. Study the graph showing GDP in the US.A line graph titled G D P Growth in the U S. The x-axis is labeled Year from 2004 to 2014. The y-axis is labeled Percent Growth from negative 4 to 6. 2004 is at 4 percent. 2006 is around 3 percent. 2007 is at 2 percent. 2009 is under negative 2 percent. 2010 is at 2 percent. 2012 is at 2 percent. 2014 is over 2 percent.What conclusion can be drawn about the US economy as a whole between 2006 and 2009?It remained level.It declined steadily.It wavered in growth.It rose from a downturn. What does every weak base have? did the twenty-second or the Twenty-fifth admendment pass after president John F. Kennedy Help, please, what is the answer?? why would the planets move in a straight path if there was no gravitational energy from the sun I need help it please 4Fe (s) + 3 O2 (g) 2 Fe2O3 (s)A. What is the oxidation number for each item in this equation?B. What is being oxidized? C. What is being reduced?D. What is the oxidizing agent?E. What is the reducing agent? Solve for x. Assume that lines which appear tangent are tangent. X=