In the sequence
1,2,2,4,8,32,256,...
each term (starting from the third term) is the product of the two terms before it. For example, the seventh term is 256, which is the product of the fifth term (8) and the sixth term (32).

This sequence can be continued forever, though the numbers very quickly grow enormous! (For example, the 14th term is close to some estimates of the number of particles in the observable universe.)

What is the last digit of the 35th term of the sequence?

Answers

Answer 1

Answer: 8

Step-by-step explanation:

Sequence: 1,2,2,4,8,32,256

 

After the first digit, the repeated pattern for the last digit is  2,2,4,8,2,6

 

So, the 35 term's final digit will be 8


Related Questions

X + y = 3
X + y = -3

Answers

Answer:

no solution hsjsjsjsjsjsjsnsnwnsnsnsnskwk

no solution. hope this helped :)

Solve the system of equations -x+ 2y = –11 and 5x – 8y = 39 by
combining the equations.

Answers

Answer:

x=-5, y=-8. (-5, -8).

Step-by-step explanation:

-x+2y=-11

5x-8y=39

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

5(-x+2y)=5(-11)

5x-8y=39

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

-5x+10y=-55

5x-8y=39

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

2y=-16

y=-16/2

y=-8

-x+2(-8)=-11

-x-16=-11

-x=-11+16

-x=5

x=-5

You are going on a camping trip with your family for 3 days. You decided that you need 5 batteries for your flashlights. At the very last minute you decide to extend the trip to 9 days.
a. Set up a proportion to solve for the amount of batteries you will need for the extended trip.
b. Solve the proportion for part a

Answers

Answer:

15 batteries

Step-by-step explanation:

a. We have

5 batteries = 3 days

5 batteries/3 days = 1

5 batteries/3 days

we need to convert this to 9 days, so

x amount of batteries = 9 days

x batteries / 9 days = 1

5 batteries / 3 days = x batteries / 9 days

b.

5 batteries / 3 days = x batteries / 9 days

multiply both sides by 9 days to get rid of the denominators as well as the days variable

5 batteries * 9 days / 3 days = x batteries

5 batteries * 3 = x batteries

15 batteries = x batteries

x = 15

The proportion for the given situation is 3 : 5 :: 9 : x and 15 batteries required for 9 days trip.

What are proportions?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let x be number of batteries required for 9 days trip.

a) So, the proportion is

3 : 5 :: 9 : x

b) Solve for x, that is

3x=45

⇒ x=15

Therefore, the number of batteries required for 9 days trip is 15.

To learn more about the proportions visit:

https://brainly.com/question/7096655.

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On September 1, you own 12.5 shares of stock that are worth $149.87. On
December 1, the shares are worth $94.87. What was the change in the price per
share of stock?

Answers

Divide $149.87 by 3 which = $49.95
From September 1 to December 1 is three months apart so meaning the price dropped $49.95 for the months of Oct to Dec.

The required change in the price of the share of stock is $4.4.

Given that,
On September 1, you own 12.5 shares of stock that are worth $149.87. On December 1, the shares are worth $94.87, and the change in the price per share of stock is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Initial total cost shares of stock = $149.87
A total number of shares = 12.5
The initial cost of single share = 149.87/ 12.5 = $11.98
Now final cost of the total share = $94.87
The final cost of the single share is = 94.87 / 12.5 = $7.58
Change in price of shares of stock = 11.98 - 7.58 = $4.4

Thus, the required change in the price of the share of stock is $4.4.

Learn more about simplification here: https://brainly.com/question/12501526

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Felicia jumped 14 times every 28 minutes. At that rate, how many would she jump in 8 minutes?

Answers

She can jump 4 times in 8 minutes

merry christmas! my teachers gave me work. ill be happy if u help

Answers

heyy merry christmas !
area of a triangle = base * height : 2
4 * 5 = 20 : 2 = 10
10 * 12triangles = 120cm^3

Triangle BAD is a rotation of triangle DCB around point E by 180 degrees.





Which angle is congruent to angle DBA?


A. BCD

B. CBD

C. DBC

D. BDC

Answers

Taking point Z as the origin, the coordinates of the points on ΔBAD are

given by changing the sign of the coordinates of points in ΔDCB.

The angle that is congruent to ∠DBA is; D. ∠BDC

Reasons:

The given parameters are;

Triangle ΔBAD is the image of ΔDCB following a rotation of 180°.

Required:

The angle congruent to ∠DBA.

Solution:

Given that the rotation of triangle DCB is 180°, we have that the

coordinates of a point (x, y) in ΔDCB is (-x, -y) in ΔDBA.

Therefore, side DC is parallel to side AB

Which gives;

∠DBA is congruent to ∠BDC by alternate interior angles theorem.

∠DBA ∠BDC

The angle that is congruent to ∠DBA is; option D. ∠BDC

Learn more about rotation transformation here:

https://brainly.com/question/4738741

i don't know the answer to log4(x+6)=2

Answers

Answer:

10

Step-by-step explanation:

log4(x+6)=2

x+6=4²

x=4²-6

x=10

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

[tex]log_4(x+6)=2[/tex]

[tex]4^{log_4(x+6)}=4^2[/tex]

[tex]x+6=16[/tex]

[tex]x=10[/tex]

Remember that logarithmic functions are the inverses of exponential functions. Therefore, we raise the base of the logarithm to the logarithm to undo the operation.

consider the equation n=2/5m-30 for what value of m is n equal to 50?

Answers

Answer:

m = 200

Step-by-step explanation:

Substitute n = 50 in the equation

         n = 2/5m - 30

       50 = 2/5m - 30

50 + 30 = 2/5m

       80 = 2/5m

         m = 80 ÷ 2/5

         m = 200

PLS SOMEONE HELP I WILL GIVE U 28 POINT

Answers

Answer:

z=37

x=105

y=68?

Step-by-step explanation:

Leave a brainliest if this helped!

2. What is the x-intercept for the equation -2x + 5y = -10?

Answers

Answer:

Step-by-step explanation:

X intercept occurs when y = 0

-2x + 5(0) = -10

x = -10/-2

x = 5

Help me please with this!…………………

Answers

Answer:

x = 2

Step-by-step explanation:

The two angles are congruent because they are alternative interior angles.

9x + 4 = 3x + 16

9x - 3x + 4 = 3x - 3x + 16

6x + 4 = 16

6x + 4 - 4 = 16 - 4

6x = 12

x = 2


Mario sells men's and women's shoes in his shoe store. He is considering selling children's
shoes. He randomly selected 120 customers to participate in a survey. The survey results are
shown below.
• 42 customers said they would shop for children's shoes
• 78 customers said they would not shop for children's shoes
Mario has an average of 440 customers per month. Based on the survey results, which
value is the best estimate of the number of customers that would shop for children's shoes
during an average month?
А
120
B
154
C
220
D
286

Answers

Answer:

154

Step-by-step explanation:

42 is 35% of 120, and 78 is 65% of 120. Thus 35% of 440 is 154 people who would shop for shoes.

Please like and thank, hope this helps.

The number of customers that would shop for children's shoes during an average month is 154.

Number of randomly selected customers = 120

Number of customers willing to shop for children's shoes = 42

42 is what percentage of 120?

As we know that percentage is the value per hundred.

So, (42/120) *100 = 35%

So, 42 is 35% of 120.

This means that 35% of customers are willing to shop for children's shoes.

Average customers per month = 440

35% of 440 = (35*440)*100

35% of 440 =154

So, the number of customers that would shop for children's shoes

during an average month =154.

Therefore, the number of customers that would shop for children's shoes during an average month is 154.

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Help pretty please it’s 4:30 rn and I’m trying to get this done

Answers

Answer:

8b is 1.5*10^4=1.5*10000=15000

9. is 100*1.1=110meters to 100 yards

Hope This Helps!!!

Answer:

91

Step-by-step explanation:

Casey's grandmother sent her an $80 bookstore gift card for her birthday last year. This year, she sent her a $110 bookstore gift card. Which proportion can be used to find the percent of last year's gift that this year's gift is, if n represents the unknown percent?
A 100/110 = 80/n
B 80/110 = n/100
C 110/80 = n/100
D 101/100 = 80/n

Answers

The answer is to this question is B

Can someone help me solve this problem? I’m not sure how to solve this type of expression

Answers

Answer:

(2x+3)square+2

Step-by-step explanation:

(2x) square +2 (2x)(3)+(3)square

2x square +12x+9

I think so.

pls give me brainliest

My I please have some help
Simplify (89^6 x 91^3)^0

1
(89^6 x 91^3)
0
(89^7 x 91^4)

Answers

Answer:

Any number(except 0) to the power 0 is equal to 1. So the the answer is 1.

Step-by-step explanation:

View Example
After a power fallure, the temperature in a freezer increasettat an average rate of 3.5°F per hour. The total
Increase was 17.5°F. Enter and solve an equation to find the number of hours until the power was
restored. Let x represent the number of hours it takes for the temperature to increase to 17.5°F.
Step-by-step
Video Tutor
The equation to find the number of hours until the power was restored is
Textbook
Print
The number of hours until the power was restored
is
hours
Turn it in
e Save & Close
Question 6 of 6
✓ Check Answer

Answers

Answer:

a b c d e f g h i j k l m n o p q r s t u v w x y z

Step-by-step explanation:

yoooooooooooooooooooooooooooo

The high school soccer booster club sells tickets to the varsity matches for $4 for students and $8
for adults. The booster club hopes to earn $200 at each match. Let x be the number of student
tickets and y be the number of adult tickets.
List some of the possible combinations of number of tickets they can sell to make $200.

Answers

Set up an equation:

4x + 8y = 200

200/4 = 50

200/8 = 25

They callus sell 50 student tickets and 0 adult tickets

They could sell 0 student tickets and 25 adult tickets.

They could sell 10 student tickets and 20 adult tickets

They could sell 10 adult tickets and 30 student tickets

Over six months, a family's electric bills averaged $55 per month. The bills for
the first five months were $57.60, $60, $53.25, $50.75, and $54.05. What was
the electric bill in the sixth month? Find the median, mode, and range of the
six electric bills.

Answers

Answer:

$54.35

Step-by-step explanation:

The differences from the average value are;

2.60, 5.00, -1.75, -4.25, -0.95
The total of these differences is +0.65, so the final bill must have a value that is $0.65 lower than the average.

The bill for the 6th month is $54.35.
_____
Check
The average of the bills for 6 months is;

(57.60 +60 +53.25 +50.75 +54.05 +54.35)/6 = 330/6 = 55

Will someone like please help me on my math ;(
What is the recursive formula for this sequence?
10, 14, 18, 22, 26....?!!?!

Answers

Answer:

option A

Step-by-step explanation:

The given Series:

10,14,18,22,26... is an Arithmetic Progression.

Concept:

The difference between consecutive numbers always remains the same.

For instance:

14 - 10 = 18 - 14 = 22 - 18 = 4

This difference is known as the common difference.

In an A.P., the nth (an) term of a series can be found out by:

[tex] \boxed{ \sf{a _{n} = a + (n - 1)d}}[/tex]

Here,

an is the nth terma is the first term of the series = 10n is the number of termsd is the common difference = 4

[Don't get confused by (n- 1), it's simply the number of terms - 1. If the number of terms, somehow, is (n - 1) itself, your formula will be an = a + ((n - 1) -1)d]

Soltution:

The first term of the given Series is 10.

==> a1 = 10

Finding an:

the nth term will be:

an = 10 + (n - 1)4

==> 10 + 4n - 4

==> 6 + 4n

Strategy:

All the given options have an and a(n-1). So we have to deduce a relation between an and a(n- 1).

Finding a(n-1):

==> a(n-1) = 10 + ((n - 1) -1)4

= 10 + (n- 2)4

= 10 + 4n - 8

= 4n + 2

Subtracting a(n-1) from an:

==> an - a(n-1) = 6 + 4n - (4n + 2)

==> an - a(n-1) = 6 + 4n - 4n - 2

==> an - a(n-1) = 4

==> an = 4 + a(n-1)

Hence, option A is the answer.

I don't understand raitos please help solve math problems

Answers

1st is to make the numbers into ratios. Basically taking the two numbers and putting them in the middle. I’ll do the 1st 15:36.
Next you put it into a fraction: 15/36
Put in the comments if you want me to do all or if you have any questions!

A town’s population increased from 25200 to 26460. Find the percent of increase.

Answers

Answer:

5%

Step-by-step explanation:

Based on the given conditions, formulate: (26460-25200)÷25200

Calculate the sum or difference: 1260/25200

Cross out the common factor: 1/20

Multiply a number to both the numerator and the denominator: 1/20 * 5/5

Write as a single fraction: 5/20*5

Calculate the product or quotient: 5/100

Rewrite a fraction with denominator equals 100 to a percentage: 5%

309,303,297 find the 33rd term

Answers

Answer:

111

Step-by-step explanation:

multiply 33 by 6 because 6 is being subtracted every time and then subtract 198 from 309

Answer:

117

Step-by-step explanation:

Hope this helps!

: Use ratio language to describe the relationship of any two things you can think of. Example: For every 5 minutes of jogging, I ran 500 yards. Be creative and come up with your own idea.

Answers

For every 5 minutes of jogging, I ran 500 yards

To Find : Use ratio language to describe the relationship of any two things

Determine the unit rate

Solution:

every 5 minutes of jogging, I ran 500 yards

=> 500/5 = 100 yards/ minute

For every 20 minutes ,  I can type 1000 words in

unit rate = 1000/20  = 50 words per minute

For every 1 hr (60 minutes)  I can solve 10 Questions

unit rate = 10/60     = 1/6 Question per minute  

For every 10 minutes , i can read 5 pages

unit rate = 5/10   = 1/2 pages per minute

Learn More:

Selma uses a jogging trail that runs through a park near her home ...

brainly.in/question/21297587

Keith is saving money for a car. He has saved the same amount ...

brainly.in/question/14056417

Write an equation of a line which has a slope of -2 and goes through the point (-4,11)

Answers

Answer:

See answers below

Step-by-step explanation:

slope-intercept form- y=-2x+3

point slope form- y-11=-2(x+4)

Use the given slope and point to substitute into the point-slope formula

then you can solve for y=mx+b

BRO SOMEONE PLSS HELP ME

Write the inequality that represents the possible values for x

Answers

Answer:

6x + 12 < 10

Step-by-step explanation:

The side 10 is greater than 6x+12

In a car survey of 3,400 people who owned a certain type of car. 1,020 said they would buy that type of car again. What percent of people surveyed were satisfied with the car?

_______% of the people surveyed were satisfied with the car. (Type a whole number

Answers

Answer:

30%

Step-by-step explanation:

[tex]\frac{1020}{3400} =\frac{30}{100}[/tex]

Answer:

30%

Step-by-step explanation:

given

Total:3400

satisfied people:1020

we know that,

percent of satisfied:3400/1020x100%

=30%

can someone please help me with this, thank you (picture attached)

Answers

Answer:

I can help you with it

Step-by-step explanation:

box and whisker plots please help!

Answers

The correct answer is D. 100%
Each tick counts as 8 so the beginning of the plot would be at 28 which is only 2 from 30 and everything else is on the plot is greater than 30 so the answer would have to be D since 75% would be too little coverage of the plot
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