What is the 20th term for the following sequence?
3,-9, 27,-81, ...

Answers

Answer 1

Answer: -3486784401

Step-by-step explanation:

This is a geometric progression and the formula to use to find the nth term will be: = ar^(n-1)

where,

a = 3

r = -9/3 = -3

n = 20

Therefore, ar^(n-1)

= 3 × -3^19

= 3 × -1162261467

= -3486784401


Related Questions

Find the measure of the vertex angle in the figure below.

A.) 48°
B.) 96°
C.) 66°
D.) 84°

Answers

Answer:

∠m = 84º

Step-by-step explanation:

48 + 48 + x = 180

96 + x = 180

x = 84º

hope this helped!

Answer:

∠m = 84º

Step-by-step explanation:

-Which plan charges a higher monthly rate? Justify your answer.
-The plan that charges the higher monthly rate charges__as much as the other plan.
a. 1.2
b. 0.78
c. 1.28
d. 0.83
-What is the one-time fee of fitness plan B?​

Answers

Answer:

D

Step-by-step explanation:

HELP!!!! PLEASE I NEED HELP!!!!

Answers

for the first one it is the second option because of one property of logarithms:

log(a)-log(b)=log[tex]\frac{a}{b}[/tex]

for the second one using the same property we can say that we third option is correct and not the second one but we use one more property of the logarithm

loga(b)^x=xloga(b) the power of the logarithm becomes a fator and [tex]\sqrt[3]{x}[/tex] is equal to [tex]x^{\frac{1}{3}}[/tex]

2. The perimeter of rectangle is 48cm. If the
files are in the ratio 3 : 5, find the length
of the sides​

Answers

lets the length be 3x

width be 5x

perimeter = 48

so

3x +5x=48

8x = 48

x =48/8

x= 6

so.

3x = 3×6 = 18

5x = 5×6= 30

hope it will be helpful

can someone pls help me with this? i’d really appreciate it :)

Answers

Answer:

y = 2x - 12 or A

Step-by-step explanation:

6x - 3y = 36                        Subtract 6x from both sides.

-3y = 36 - 6x                       Divide by - 3

-3y/-3 = 36/-3 - 6x/-3

y = -12 + 2x

The answer is A

Find the exponential equation for the given information. Pls help

Answers

Answer:

y = 12 [tex](2.9)^{x}[/tex]

Step-by-step explanation:

The standard form of the exponential function is

y = a [tex](b)^{x}[/tex]

Find a and b by substituting ordered pairs from the table into the equation

Using (0, 12 ), then

12 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ), so

a = 12, then

y = 12 [tex]b^{x}[/tex]

Using (1, 34.8 ) , then

34.8 = 12 [tex]b^{1}[/tex] ( divide both sides by 12 )

b = 2.9

Thus exponential function is

y = 12 [tex](2.9)^{x}[/tex]

Saima goes to her friend every 15 days and laiba goes to same friend every 18 days.After how many days saima and laiba will visit the friend together?

Answers

Answer:

33 days

Step-by-step explanation:

15 + 18 = 33

Four banks have provided proposals for a savings account. Which scenario provides exponential growth that will best benefit the account holder?
A.The deposit increases by 3%, percent of its current value, compounded annually.

B.The deposit increases by 3%, percent of its current value, compounded monthly.

C. The deposit increases by 5%, percent of its initial value each year.

D. The deposit increases by 0.40% point, percent of its initial value each month.

Answers

Answer:

B. The deposit increases by 3% of its current value, compounded monthly.

Step-by-step explanation:

When compounded monthly that means the account is getting more money monthly rather than annually, or each year, so this answer choice would give the best benefit to the account holder. I did this problem on Khan Academy myself and this was the correct answer.

Answer:

Answer: B. The deposit increases by 3% of its current value, compounded monthly.

Step-by-step explanation: When compounded monthly that means the account is getting more money monthly rather than annually, or each year, so this answer choice would give the best benefit to the account holder. I did this problem on Khan Academy myself and this was the correct answer.

-5y + 7y + 18 - 3x Whoever answers the best gets brainlyest.

Answers

Answer:

2y+18-3x

Step-by-step explanation:

Answer:

2y +18 -3x

Step-by-step explanation:

-5y +7y +18 -3x

-5y -5y            

2y +18 -3x

Find the diameter of a circle if its area is
a. 100cm2
Ibucm2
c. 400mcm2
d. - ncm2
4​

Answers

Answer:

[tex]Diameter = 11.28[/tex]cm  --- (a)

[tex]Diameter =22.58[/tex] cm  --- (c)

Step-by-step explanation:

Only (a) & (c) are clear enough to be solved. Others are not properly presented.

Use the following explanations of (a) & (c) to answer others.

[tex]a.\ Area = 100cm^2[/tex]

Area is calculated as:

[tex]Area = \pi r^2[/tex]

Substitute 100 for Area

[tex]100 = \pi r^2[/tex]

Take π as 3.14. So, the expression become

[tex]100 = 3.14 r^2[/tex]

Divide both sides by 3.14

[tex]\frac{100}{3.14} = \frac{3.14 r^2}{3.14}[/tex]

[tex]\frac{100}{3.14} = r^2[/tex]

[tex]r^2 = \frac{100}{3.14}[/tex]

[tex]r^2 = 31.847133758[/tex]

Solve for r

[tex]r = \sqrt{31.847133758[/tex]

[tex]r = 5.64[/tex]

But diameter = 2 * radius

So:

[tex]Diameter = 2 * 5.64[/tex]

[tex]Diameter = 11.28[/tex]

[tex]a.\ Area = 400cm^2[/tex]

Area is calculated as:

[tex]Area = \pi r^2[/tex]

Substitute 400 for Area

[tex]400 = \pi r^2[/tex]

[tex]400 = 3.14 r^2[/tex]

Divide both sides by 3.14

[tex]\frac{400}{3.14} = \frac{3.14 r^2}{3.14}[/tex]

[tex]\frac{400}{3.14} = r^2[/tex]

[tex]r^2 = \frac{100}{3.14}[/tex]

[tex]r^2 = 127.388535032[/tex]

Solve for r

[tex]r = \sqrt{127.388535032[/tex]

[tex]r = 11.29[/tex]

But diameter = 2 * radius

So:

[tex]Diameter = 2 * 11.29[/tex]

[tex]Diameter =22,58[/tex]


Can someone help me with this! Ty

Answers

Answer:

drag  10 to the

Step-by-step explanation:

Answer:

In order from left to right (each slash will be one line on the number line.)

Step-by-step explanation:

-10   -9            -7           -5      -4                -2           0

/____/___/___/__/___/____/___/_____/__/___/

I don't get this please help​

Answers

Answer:

1. 3 inches per hour

2.72 miles per hour

Answer:

1. 3 2. 72

Step-by-step explanation:

For number 1 and 2 you have todivide them

WILL GIVE BRAINLIEST AND 5 STARS AND THANKS
Enter the range of values for x
3 < x < ?

Answers

Answer:

3 < x < 7

Step-by-step explanation:

From the diagram; |AB| = |AC|

The length AB is calculated as;

[tex]Sin\ 52^o = \frac{|BD|}{|AB|} \\\\|AB| = \frac{|BD|}{Sin\ 52^o} \\\\|AB| = \frac{12}{Sin\ 52^o} \\\\|AB| =15.228 \ m[/tex]

The length CD is calculated as;

[tex]Sin \ 31^o = \frac{|CD|}{|AC|} \\\\|CD| = |AC| \ \times \ Sin \ 31^o \\\\|CD| = 15.228 \ \times \ 0.515\\\\|CD| = 7.84[/tex]

|CD| = 2x - 6

2x - 6  = 7.84

2x = 7.84 + 6

2x = 13.84

x = 13.84 / 2

x = 6.92

x ≅ 7

Thus, 3 < x < 7

A cooking instructor stated that 5 pounds of roast beef is needed to serve 8 people. Based on the instructor's statement, which of the following equations can be used to find r, the number of pounds of roast beef needed to serve 12 people?

Answers

Answer:

r = 5:8

Step-by-step explanation:

5 pound to 8 people

Find the y-intercept:
-y + 8 = 2x

Answers

Answer: (0,8)

Step-by-step explanation:

Convert to slope intercept form

-y+8=2x

-y=2x-8

y=-2x+8

Therefore 8 would be the y intercept

a number x divided by 4

Answers

X/4 ???????,????,???????

PLS HELP ASAP I DONT HAVE TIME IT ALSO DETECT IF ITS RIGHT OR WRONG!!

Answers

Answer:

24.3

Step-by-step explanation:

its really hard to explain but trust me

Answer:

The tree would be 27.6

Step by Step:

I took the height of the mailbox (6 ft) and its shadow (5.4) and subtracted that and got 0.6. Then I took 0.6 and added it to the shadow of the tree (27 ft) and got the answer 27.6.

Substitute it please!!

Answers

y=1-i

x=-3/2-i/2

thats what it should be

Simplify the expression
\[\frac{1}{\sqrt{2}} +\frac{3}{\sqrt{8}} + \frac{6}{\sqrt{32}}.\]

Answers

8 = 2³ and 32 = 2⁵, so

√(8) = √(2²•2) = 2√(2)

√(32) = √(2⁴•2) = 2²√(2) = 4√(2)

Then

1/√(2) + 3/√(8) + 6/√(32)

= 1/√(2) + 3/(2√(2)) + 6/(4√(2))

= 4/(4√(2)) + 6/(4√(2)) + 6/(4√(2))

= 16/(4√(2))

= 4/√(2)

Optional step: Rationalize the denominator by multiply this by √(2)/√(2) to get

4/√(2) • √(2)/√(2) = (4√(2))/2 = 2√(2)

which you can also write as √(8).

Please help 100 points + brainlest
Look at the pictures below and answer them

Answers

Answer:

the answers are bolded below!

Step-by-step explanation:

1. y-y1=m(x-x1)

line one- 14-4/6-1 = 10/5 = 2

so....     y-1=2(x-4)

simplified     y=2x-7

line two- -2-23/1-6 = -25/5 = -5

so.....      y-6=-5(x-23)

simplified         y=-5x+121

b- they will intersect 1 time at (18.2,29.5)

2. No, it the system has infinitely many solutions, then the lines would be on top of each other. But since there are only two solutions, then your answer would not be infinitely many solutions.

3. y=-2x+1. This would not intersect with y=-2x+3 because they are parallel. the slopes are the same so they will each travel at the same rate but they have different y intercepts.

4. y=-2x+7 ------> x=-1/2y-7/2

y=-3(-1/2y+7/2)+8  -----> y=5

y=-2x+7 --->   5=-2x+7  ----> x=1

one solution at (1,5) because f graphed, the lines would only intersect once.

b- x=5

3x-y=5   --->   3(5)-y=5   --->   y=10

one solution at (5,10) because f graphed, the lines would only intersect once.

c- no solutions because if it were to be graphed, the lines would not intersect at all.

d- no solutions because if it were to be graphed, the lines would not intersect at all.

e- no solutions because if it were to be graphed, the lines would not intersect at all.

i am in algebra two so you can trust my answer. If you need more help lmk in the comments. Happy holidays and stay safe!

Write an equation of a line perpendicular to line AB below in slope-intercept form that passes through the point (7, 6).

Line AB is shown. A is at 0, 1. B is at negative 2, 5.

(6 points)


y = 0.5x + 2.5

y = 0.5x − 2.5

y = −2x + 20

y = 2x − 20

Answers

Answer: y = 0.5x + 2.5

I took the test and got it right

Answer: y = 0.5x + 2.5

Step-by-step explanation: look at picture VVV VVV VVV

Danni is training for a marathon. Her target speed is 25 miles per hour. She currently runs 15 miles in 1/2 and hour. Does she achieve her target speed for her run?

Answers

Yes because if it’s fifteen in 1/2 an hour you multiply by two she is at 30 miles an hour which surpasses her goal by five

A culture of bacteria triples by the end of each hour. If there were initially 40 bacteria in a culture, how many bacteria should there be after 3 hours?

Answers

Answer:

There would be 1080 bacteria in the culture.

Step-by-step explanation:

Initial number of bacteria = 40

Given that

culture of bacteria triples by the end of each hour

Number of bacteria after 1 hour = 40*3 (multiplying initial number of bacteria by 3)

Number of bacteria after 1 hour = 120

number of bacteria after 2 hours = 3*Number of bacteria after 1 hour = 3*120

number of bacteria after 2 hours =360

number of bacteria after 3 hours = 3*Number of bacteria after 2 hour = 3*360 = 1080

Thus,

there would be 1080 bacteria in the culture.

Answer:

1080 bacteria

Step-by-step explanation:

12in to 4ft make a fraction in simplest from

Answers

Answer:

Step-by-step explanation:

1 foot = 12 inches

12 inches/ 48 inches = 1/4 foot

or  1 foot/4 feet = 1/4 foot

Please answer I will mark branliest

Answers

Answer:

C

Step-by-step explanation:

To find the volume of a cube, raise the value of one side to the third power. 2.5 centimeters to the third power is 15.625, which can also be expressed as the fraction 125/8

Answer: choice C

Step-by-step explanation:

Since V = s^3

And side length = 2.5

V = (2.5)^3

V = 15.625

V = 125/8 cm^3

How do I solve this equation?

Answers

Answer:

Split the equation into two equations:

4x - 3 ≤ 7

or

-(4x - 3) ≤ 7

The overall solution is the combination of the two individual solutions.

Which point best represents 10

Answers

Answer:

The answer is Q

Step-by-step explanation:

√10= 3.16

please help asap!
i will mark brainliest!!!!

Complete this sentence. If the force of gravity ________, the weight of an object will _______________.

a. decreases, increase
b. increases, increase
c. increases, stay the same
d. decreases, stay the same

Answers

i think it’s d but sorry if it’s not right

POSSIBLE POINTS: 33 Dell Computers can manufacture 72 laptops in 6 hours. If at the end of the week the company manufactured 720 laptops, how many hours did they work the whole week? O 12 010 O 60 O 66​

Answers

Answer:

To answer your question use the code ICE on here to get your answer works every time for me hope this helps

*BRAINIEST & 30 POINTS*

what are the coordinates of the point on the directed line segment from (-8,8) to (7,-7) that partitions the segment into a ratio of 1 to 4?

Answers

Answer:

(-5, 5)

Step-by-step explanation:

Given points:

(-8,8) and (7,-7)

Ratio of partitioning:

1 tp 4

Use of formula:

P = (x1 + a/(a+b)*(x2 - x1), y1 + a/(a+b)*(y2 - y1))

Substitute values:

P = (-8 + 1/(1+4)*(7 + 8), 8 + 1/(1+4)*(-7 - 8)) P = (-8 + 1/5*15, 8 + 1/5*(-15))P = (-8 + 3, 8 - 3)P = (-5, 5)
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