What is the 11th term of the sequence 7, -21, 63

Answers

Answer 1

Answer: 413343

Step-by-step explanation:

This is a geometric progression. First and foremost, we've to find the common ratio which will be:

= 2nd term / 1st term

= -21/7

= -3

The formula to find the 11th term will be:

= ar^n-1

where,

a = first term = 7

r = common ratio = -3

n = number of terms = 11

Therefore, ar^n-1 = 7 × -3^11-1

= 7 × -3^10

= 7 × 59,049

= 413343

Therefore, the 11th term of the sequence is 413343.


Related Questions

3a. The distance around a circular track.
Circumference
Area

Answers

Answer:

Circumference

Step-by-step explanation:

The Circumference is the the distance around a circular region, it could be imagined as the distance covered by running or walking around the track of a circular athletic stadium. The Area in the other hand is used to describe the entire region enclosed within the circle. For instance the area may be described as the entire pitch region of an athletic stadium, if the circular distance is the Circumference, the enclosed region within the circle is the measure of the Area.

A business student is interested in estimating the 90% confidence interval for the proportion of students who bring laptops to campus. He wishes a precise estimate and is willing to draw a large sample that will keep the sample proportion within seven percentage points of the population proportion. What is the minimum sample size required by this student, given that no prior estimate of the population proportion is available

Answers

Answer:

n = 106

Step-by-step explanation:

Given  

p = 0.5 and 1-p = q = 0.5

Margin of error = 0.08  

Confidence level = 90%  

Z score for 90% confidence level =     1.65

As we know -  

Margin of error = z * Sqrt (pq/n)

Substituting the given value, we get –  

0.08 = 1.65 * Sqrt (0.5*0.5/n)

Squaring both the sides and solving, we get  

n = 1.65^2*0.5^2/0.08^2

n = 106.34 = 106

The value of p(x) = 5x− 4x + 3 for x = −1 is ________.​

Answers

Answer:

Step-by-step explanation:

p(-1)=5*-1 -4*-1 +3

=-5-(-4) +3

=-5+4 +3

=-5+7

=2

Answer:

2

Step-by-step explanation:

p(-1)= 5(-1)-4(-1)+3

p(-1)= -5+4+3

p(-1)= 2

Identify the cavity that develops entirely from the mesoderm.

Answers

The answer is “coelom”

Explanation:

The coelom is defined as a main body cavity that is developed entirely from the mesoderm.

How many rows of seats are needed to seat 673 people at a concert when the rows seat 37 people each?

Answers

Answer:

18.189 rows

Step-by-step explanation:

673 / 37 = 18.189189189

Hope this helps!

if gh¢400.00 is deposited at a bank at 10% per annum compounded quarterly, how long will it take the deposit to double it value.​

Answers

9514 1404 393

Answer:

  7 years

Step-by-step explanation:

The multiplier each quarter is 1 +10%/4 = 1.025. The number of quarters, n, that must pass before the value is multiplied by 2 is given by ...

  1.025^n = 2

Taking logarithms, we can solve for n:

  n×log(1.025) = log(2)

  n = log(2)/log(1.025) ≈ 28.071

It will take 28 quarters, or 7 years, for the value to double.

What is the slope of the line represented by the equation y = -1/2X + 1/4?

Answers

If the equation of the line is y=-1/2x+1/4 then the slope would be -1/2

TRIGONOMETRY (RIGHT ANGLE) PLEASE HELP

Answers

Answer:

x = 41.05

Step-by-step explanation:

Given that,

In a right angles triangle,

Perpendicular height, P = 228

Angle 1 = 90°

Angle 2 = 47°

Angle 3 = 180-(90+47) = 43°

Using trigonometry to find x.

[tex]\sin\theta=\dfrac{P}{x}\\\\x=\dfrac{P}{\sin\theta}\\\\x=\dfrac{28}{\sin(43)}\\\\x=41.05[/tex]

So, the value of x is equal to 41.05.

Suppose one relatively large value is added to a set of all relatively small data values. Which of the following measures would not be affected (i.e. 10 12 16 12 150 13 - which average technique would not be impacted by the outlier)?
A. the mode.
B. the standard deviation.
C. the range.
D. the mean.

Answers

Answer:

A. the mode.

Step-by-step explanation:

Mean

Sum of all values divided by the number of values, so is affected by an outlier present in the data-set.

Standard deviation:

Square root of the sum of the differences squared between each value and the mean, divided by the sample size. As it's related to the mean, it is affected by an outlier.

Range:

Subtraction of the largest value of the data-set by the smallest value, and thus, is also affected by an outlier.

Mode

Value that appears the most often in the data-set, and thus, not affected by an outlier, which means that the correct answer is given by option A.

5+x^2-7x in standard form

Answers

standard form: x^2-7x+5

What is the line of the slope below? the first answer gets brainliest. pls help asap

Answers

Slope = y2-y1/x2-x1

Slope = -5-5/3+2= -10/5

Slope = -2 so the answer is B

In the triangle below, what is the cosine of 45°? Someone please help ASAP

Answers

Answer:

B. 1/√2

Step-by-step explanation:

Soh Cah Toa

cos is adjacent over hypotenuse so from either 45° degree angle it is 1/√2

For the given right angle triangle, cos 45 = 1/√2

Hence, option B is correct.

In the given triangle,

Adjacent  = 1

Hypotenuse = √2

Since we know,

The values of all trigonometric functions depending on the ratio of sides of a right-angled triangle are defined as trigonometric ratios. The trigonometric ratios of any acute angle are the ratios of the sides of a right-angled triangle with respect to that acute angle.

For a right angled triangle,

Cosθ = adjacent / hypotenuse

Therefore,

cos 45 = 1/√2

To learn more about trigonometric ratios visit:

https://brainly.com/question/29156330

#SPJ6

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

50,20,8

Find the 8th term.

Answers

Answer:

.082

Step-by-step explanation:

First find the common ratio

Take the second term and divide by the first term

20/50 = 2/5 = .4

Check with the third term divided by the second term

8/20 = .4

The formula for a geometric sequence is

an = a1 (r) ^(n-1)  where a1 is the first term and r is the common ratio

     =50 ( .4) ^ (n-1)

We want to find the 8th term

     = 50 ( .4)^(8-1)

      = 50 ( .4) ^7

      =0.08192

Round to the nearest thousandth

      = .082

   

Hope this help!!!

Have a nice day!!!

Select all the numbers that are solutions to the inequality 4,5,,6>5,5.2>5,5.01>5,0.5
Plzzz answer I’ll give you 10 points

Answers

iii; iv; and v

Step-by-step explanation:

I think

Becky created a graph to represent her distance away from home one afternoon. She left home and ran to the park, met some friends and stayed at the park, and then walked back home using the same route. Which graph could Becky have created?

Answers

Answer:

probably linear graph 'cause it's in a straight line

Answer:

Step-by-step explanation:

First graph is correct which satisfies the given informations.

The graph is attached below.

Given:

Becky made a graph to show how far she was from her house.

She started jogging from zero distance from the house when she left and sprinted to the park, so the second and fourth graphs are incorrect.

She then spent some time at the park with some friends before returning home on the same path. The first one is accurate since we can see that for a brief while, the graph is parallel to the time axis, but the third one demonstrates that she hasn't taken a break.

Learn more about distance here:

brainly.com/question/5993643

#SPJ1

What are the coordinates of point (6,-2) after D o, 1/2

Answers

Answer:   (3, -1)

Explanation: Cut each coordinate in half.

In other words, multiply each coordinate by 1/2 = 0.5

6*0.5 = 3

-2*0.5 = -1

The point (6,-2) moves to (3, -1) after the dilation. This trick only works because the origin is the center of dilation.

Helppppppp! 15 points!

Answers

[tex]{\boxed{\mathcal{\purple{D.\:81}}}}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]( {3})^{ \frac{11}{5} } \div {3}^{ \frac{ - 9}{5} } \\ \\=( {3})^{ \frac{11}{5} - ( \frac{ - 9}{5} ) } \\ \\ = ( {3})^{ \frac{11}{5} + \frac{9}{5} } \\ \\ = ( {3})^{ \frac{11 + 9}{5} } \\ \\ = ( {3})^{ \frac{20}{5} } \\ \\ = ( {3})^{4} \\ \\ = ( \: 3 \times 3 \times 3 \times 3 \: ) \\ \\ = 81[/tex]

Note:-

[tex] {a}^{m} \div {a}^{n} = {a}^{m - n} [/tex]

[tex]\sf\red{(-)\:x\:(-)\:=\:+}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Solve for x for this triangle (geometry)

Answers

Answer:

[tex]x=60^{\circ}[/tex]

Step-by-step explanation:

The are 180 degrees in a triangle and 180 degrees on a line. Therefore, call the third angle of the triangle [tex]y[/tex].

The following equation solves for [tex]y[/tex]:

[tex]y+119=180,\\y=61^{\circ}[/tex]

Solving for [tex]x[/tex]:

[tex]x+59+61=180,\\x=\boxed{60^{\circ}}[/tex]

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 $

If you are multiplying by the vertical method as seen below, what is the value of C?

QUICK QUESTION!

Answers

Answer:

option 1

Step-by-step explanation:

     [tex]x^2[/tex]      [tex]-2x[/tex]         [tex]+8[/tex]

                [tex]x[/tex]           [tex]-4[/tex]

_____________________

        [tex]-4x^2[/tex]     +8x        -32

[tex]x^3[/tex]      [tex]-2x^2[/tex]     +8x          0

_______________________

[tex]x^3[/tex]      [tex]-6x^2[/tex]     +16x       -32

[tex]A =+ 8x\\\\B = -2x^2\\\\C= +16x[/tex]

Which statement describes the graph?

Answers

Answer:

A

Step-by-step explanation:

The answer is A, the graph raises, crosses at (0, 5) and then remains constant.

showing ALL calculations, whether this statement is valid
Rammone invests R505 050.00 for three years at a banking institution when
will grow at 5% compound interest per year.
2.2.1
Use a yearly STEP by STEP or a long method and calculate the
interest earned after three years. (Do not use the compound intere
formula.)​

Answers

Answer:

RM79 608.51

Step-by-step explanation:

First year,

RM505 050.00×5%=RM505 050.00×5/100

=RM25 252.50

second year,

(RM505 050.00+RM25 252.50)×5%=RM530 302.50×5/100

=RM26 515.13

third year,

(RM530 302.50+RM26 515.13)×5%=RM556817.63×5/100

=RM27840.88

three years interest,

RM25 252.50+RM26 515.13+RM27840.88=RM79608.51

I don't know that is R or RM

if it is R ,sorry

Hope can help!

how many liters are there in 11.23 kiloliters?


A. 11.23
B. 112.30
C. 1123
D. 11,230

Answers

Answer:

D.11,230

Step-by-step explanation:

11.23 = 1 KILOLITER = 1000 LITERS

11.23*1000

11230

Help ASAP 100 PTS!!!!
Describe how to determine the average rate of change between x = 1 and x = 3 for the function f(x) = 3x3 + 1. Include the average rate of change in your answer. Please show all work and explain it thourougly.

Answers

Answer:

39

Step-by-step explanation:

Find the value of f(x) at both points

f(3) = 3(3)³ + 1 = 82

f(1) = 3(1)³ + 1 =  4

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

Average Rate of Change is just like slope

Divide the change in f(x) by the change in x

r = (82 - 4) / (3 - 1)

r = 78/2

r = 39

2x - 1 = 17...............

Answers

Answer:

x = 9

Step-by-step explanation:

2x - 1 + 1 = 17 + 1

2x = 18

(2x=18)/2

x = 9

Answer:

2x - 1 = 17

add 1 on each side --> 2x = 18

x = 9 because one divides 2 from each side  and results to 9

Step-by-step explanation:

I need help solving for x

Answers

Answer:

[tex]x=63.0^o[/tex]

Step-by-step explanation:

Given

[tex]RS = 35[/tex]

[tex]RT = 77[/tex]

The attached triangle

Required

Solve for x

The relationship between x, RS and RT is:

[tex]\cos(x) = \frac{RS}{RT}[/tex]

This gives:

[tex]\cos(x) = \frac{35}{77}[/tex]

[tex]\cos(x) = 0.4545[/tex]

Take arc cos of both sides:

[tex]x = \cos^{-1}(0.4545)[/tex]

[tex]x=63.0^o[/tex] --- approximated

Rewrite the polynomial in the form ax^2 + bx + C and then identify the values of a, b, and c.

I really need help ):

Answers

Answer:

[tex]a = 5\\\\b = -1\\\\c=1[/tex]

Step-by-step explanation:

Given

[tex]-x+5x^2+1[/tex]

Required

Rewrite and identify a, b and c

The required form is:

[tex]ax^2 + bx + c[/tex]

Equate both expressions

[tex]ax^2 + bx + c = -x+5x^2+1[/tex]

Rewrite as:

[tex]ax^2 + bx + c = 5x^2-x+1[/tex]

Compare the expressions on either sides

[tex]a = 5\\\\b = -1\\\\c=1[/tex]

Which of the following correctly simplifies the expression 2 to the power of 3 multiplied by 3 to the power of 0 whole over 5, the whole squared.? (5 points)


2 to the power of 3 multiplied by 1 whole over 5, the whole squared. = 2 to the power of 6 multiplied by 1 squared over 5 squared. = 64 over 25.

2 to the power of 3 multiplied by 1 whole over 5, the whole squared. = 2 to the power of 5 multiplied by 1 squared over 5 cubed. = 32 over 125.

2 to the power of 3 multiplied by 0 whole over 5, the whole squared. = 2 to the power of 6 multiplied by 0 over 5 squared. = 0

2 to the power of 3 multiplied by 0 whole over 5, the whole squared. = 2 to the power of 5 multiplied by 0 over 5 cubed. = 0

Answers

9514 1404 393

Answer:

  (a)  64/25

Step-by-step explanation:

The relevant properties of exponents are ...

  a^0 = 1 . . . . a ≠ 0

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

__

Your expression simplifies to ...

  [tex]\left(\dfrac{2^3\cdot3^0}{5}\right)^2=\dfrac{2^{3\cdot2}\cdot1^2}{5^2}=\dfrac{2^6}{5^2}=\boxed{\dfrac{64}{25}}[/tex]

What complex number is represented by the expression 7i5 + 9i8?

Answers

9514 1404 393

Answer:

  9 +7i

Step-by-step explanation:

i^2 = -1, so i^8 = (-1)^4 = 1, and i^5 = (-1)^2×i = i

Then ...

  7i^5 +9i^8 = 7i +9 = 9 +7i

AT YOUR NEW JOB AT THE COFFEE
SHOP, YOU SOLD 42 LARGE
COFFEES AND 54 SMALL COFFEES.
WHAT WAS THE RATIO OF LARGE
TO SMALL COFFEES YOU SOLD?

Answers

9514 1404 393

Answer:

  7 : 9

Step-by-step explanation:

The ratio of interest is ...

  large coffees : small coffees = 42 : 54 = 7 : 9

Other Questions
Read the myth King Midas and the Golden Touch.In ancient Greece, Midas, king of Phrygia, ruled a very wealthy land. One day, some farmhands brought a captured creature to King Midas. They wanted to know what to do with the creature. King Midas recognized the creature as Silenus, the tutor of Dionysus, god of merrymaking. King Midas ordered the farmhands to set Silenus free. For ten days and nights, King Midas took care of Silenus. Then, King Midas took Silenus back to Dionysus.Silenus and Dionysus were both very grateful to see one another again. Since King Midas was kind to Silenus, Dionysus offered to give Midas anything he wished. Unfortunately, King Midas made a foolish and greedy decision. He thought of the wealth that his land had and realized that he could have more. He asked Dionysus to give him the ability to touch anything and turn it into gold. Dionysus knew that this gift would bring trouble and heartache."Are you sure that is what you wish?" asked Dionysus skeptically."I am sure," affirmed King Midas.Dionysus waved his staff, which had a pinecone on top, and disappeared. King Midas was anxious to experiment with his new ability. On the way back to the palace, Midas touched a twig, and it turned into delicate, pure gold! Midas was ecstatic. He also turned a stone, an apple, and a door into gold. When the king reached the river, he washed his hands to see if his ability would disappear. Instead, the drops of water turned to delicate gold droplets.King Midas reached his home and immediately ordered a banquet. He feasted with his friends to celebrate the never-ending riches of his kingdom. Regrettably, the king discovered that his golden touch turned food and drink into solid gold. What could the king do? He needed to eat and drink in order to live. Just then, his beautiful daughter came dancing into the banquet hall, celebrating her father's good fortune. When she knelt down before her father, King Midas embraced her. The princess's beating heart stilled, and her warm body turned cold. King Midas shrank away in horror. His daughter was now a gold statue!King Midas wept golden tears of bitterness and regret. His own foolishness and greed had destroyed his daughter's life and his own. He begged to Dionysus for forgiveness and aid. Dionysus was merciful. He told King Midas to go the source of the Pactolus River and bathe in the water. The water would take away Midas's golden ability and return anything he had touched back to its original form. King Midas quickly set out for the Pactolus River and traveled to its source. He bathed in the river and filled a pitcher with its water. King Midas poured the water over the head of his daughter, and her heart began to beat again. Midas embraced his daughter, grateful that his most precious treasure was alive once again. Since that day, the Pactolus River has contained the gold of King Midas.Read the myth Cassandra's Wish.In the ancient city of Troy, there lived a beautiful princess, who was much beloved by Queen Hecuba and King Prima, the last king of Troy. Her name was Cassandra. She was virtuous, loved her city very much, and had a lot of respect for the Greek gods and goddesses.One day, Apollo, the god of prophecy, noticed Cassandra's extraordinary beauty. He approached the young maiden and offered her a deal. She could have anything she wished in exchange for a kiss. Cassandra was flattered by Apollo's attention and delighted at the possibility of a wish. She immediately agreed to the deal. Her wish was to be able to see the future. Since Apollo was the god of prophecy, he was able to make Cassandra a prophetess. Cassandra was thrilled!Suddenly, Cassandra had a horrible vision of Troy being destroyed. She was devastated and furious at the revelation that her beloved home would be ruined. What kind of gift had Apollo given her? Apollo demanded that Cassandra kiss him, for she had made a bargain with him. In her fury, Cassandra refused. Apollo was outraged and decided to punish this mortal. Cassandra would still be able to see the future, but no one would believe her predictions. From that day on, the citizens of Troy believed that Cassandra was slightly crazy and didn't believe her prophesies, even though they always came true. Cassandra lived a lonely life, waiting for her city to be destroyed and longing for the days before she had made her foolish wish.How do the authors use similar events in each passage to illustrate the theme that people should be careful with what they wish for?A. Both authors showed the main characters acting disrespectfully.B. Both authors showed the main characters regretting their requests.C. Both authors showed the main characters saving other people.D. 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If GH = HI And FI =10 what is GI Please help Ill give brainliest A density graph is used to find the probability of a discrete random variabletaking on a range of values.A. TrueB. False Sami wants to find the measures of the sides and angles of the parallelogram shown.Which tools can she use to find these measures? Protractor,Scale,compass .ruler select all that apply What is the meaning Media-saturatedPeer group Cachet Negotiating (please help me with these)Draw the figures with the following dimensions. Then, solve for the missing terms. when that person you dont like laughs at your joke An insulated tank contains 50 kg of water, which is stirred by a paddle wheel at 300 rpm while transmitting a torque of 0.1 kN-m. At the same time, an electric resistance heater inside the tank operates at 110 V, drawing a current of 2 A. Determine the rate of heat transfer after the system achieves steady state. help me this question 14.Which of the quadratic functions has the narrowest graph?A. 9x2B. 2/5x2C. -10x2D. -0.9x2 Explain why the New Mexican government needs to control the use of water in the twenty-first century? How many protons does a lithium atom have Please help me Question: select all the equations that can be represented by a straight line when graphed on the coordinate plane Use the correct form of voir or recevoir to complete the letter.Salut grand-mre et grand-pre,Nous ----- vos colis hier. Hier, nous sommes alls au lac et Alain ----- un poisson norme.Moi, je/j' ----- un oiseau aux couleurs incroyables (incredible). C'est sympa! Samedi prochain, on va ----- un film anglais. S'il avait le temps, oncle Gustave ----- le film avec nous mais il doit travailler. Est-ce que vous venez nous chercher l'aroport dimanche? On se ----- bientt alors. Ciao!