Which of the following is an arithmetic sequence

Answer:

32

Step-by-step explanation:

8x4=32

Answer:need more time to solve-

Step-by-step explanation: A= b x h

(x-2)(x+2) is factorize is given eq

Answer:

[tex]\displaystyle S_{8}=6560[/tex]

Step-by-step explanation:

We have the geometric sequence:

2, 6, 18, 54 ...

And we want to find S8, or the sum of the first eight terms.

The sum of a geometric series is given by:

[tex]\displaystyle S=\frac{a(r^n-1)}{r-1}[/tex]

Where n is the number of terms, a is the first term, and r is the common ratio.

From our sequence, we can see that the first term a is 2.

The common ratio is 3 as each subsequent term is thrice the previous term.

And the number of terms n is 8.

Substitute:

[tex]\displaystyle S_8=\frac{2((3)^{8}-1)}{(3)-1}[/tex]

And evaluate. Hence:

[tex]\displaystyle S_8=6560[/tex]

The sum of the first eight terms is 6560.

Answer:

S₈ = 6560

Step-by-step explanation:

The sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]

where a is the first term and r the common ratio

Here a = 2 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{6}{2}[/tex] = 3 , then

S₈ = [tex]\frac{2(3^{8}-1) }{3-1}[/tex]

    = [tex]\frac{2(6561-1)}{2}[/tex]

    = 6561 - 1

    = 6560

Answer:

h

Step-by-step explanation:

Double radius

Hello,

14

just see my picture

Answer:

15child tickets

Step-by-step explanation:

$113.60÷4=28.4

28.4×3=85.2

113.60-85.2=100:6.3=15

If these are number systems then it will turn out like this                                            [tex]\displaystyle\bf 523_7-65_7=\boxed{425_7}[/tex]

Answer:

319 pages and a half

Step-by-step explanation:

Answer:my uncle john told me D

Step-by-step explanation:Beacause john have a brain

Answer:

sorry i cannot help you

Answer:

Stratified sampling

Step-by-step explanation:

Given

[tex]30 \to 21\ and\ above[/tex]

[tex]15 \to Under\ 21[/tex]

Required

The type of sampling method

From the question, we understand that, the sample are divided into two categories. This means that each person in each person do not have the same probability of being selected.

Such method is a stratified sampling

Answer:

zero(0)

Step-by-step explanation:

The additive identity of a set of number is a number such that the its sum with any of the numbers in the set would give a result that is equal to the number in that set.

In other words, say for example the set of numbers is rational, the additive identity of rational numbers is 0. This is because, given any rational number say x, adding zero to the number x gives the same number x. i.e

x + 0 = x

If x is say 2, then we have;

2 + 0 = 2

Since adding zero to rational numbers gives has no effect on the numbers, then zero (0) is the additive identity of rational numbers.

Answer:

hope it helps

Answer:

-6.895

Step-by-step explanation:

11.485

-18.38

______

-6.895

Answer:

71.4 degrees Celsius or 183.4 degrees Fahrenheit.

Step-by-step explanation:

The boiling point of water is 100 degrees Celsius.

I assume you mean the liquid's temperature is 28.60 degrees Celsius lower than the boiling point of water, so 100 - 28.6 = 71.4.

Therefore the liquid is 71.4 celsius.

If you wanted the temperature in Fahrenheit, the answer is 212 - 28.6 = 183.4 degrees Fahrenheit.

Answer:

[tex] \large{ \tt{ \bigstar \: {EXPLANATION : }}}[/tex]

Q. What do you mean by circumference ?

Ans : The perimeter of a circle is called its circumference. It is the total length of the curved line of the circle.

Q. What do you mean by chord ?

Ans : The line segment that joins any two points on the circumference of a circle is called the chord of the circle. In the figure , BA and DC are any two chords of the circle.

[tex] \large{ \boxed{ \boxed{ \tt{✺ \: OUR \: FINAL \: ANSWER : \boxed{16}}}}}[/tex]

Hope I helped! Let me know if you have any queries regarding my answer and also , Notify me if you need any help! ツ

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Answer:

50 cu ft

Step-by-step explanation:

The volume of flexible air filled container at 99 feet in sea water is 10 cu.ft.

Boyle's Law states that If the temperature is constant, the volume of a  gas is inversely proportional to the absolute pressure.

V 1/V2 =P2/P1

V2 = P1 x V1 /P2

Substitute 60 psi for P2, 14.7 psi for P1 and 40cu.ft for V1, we get the volume V2

V2 = 40 x 14.7 / 60

V2 = 9.8 cu.ft

Volume is approximately 10 cu.ft.

Thus, the volume of flexible air filled container at 99 feet in sea water is 10 cu.ft.

Learn more about Boyles law.

https://brainly.com/question/1437490

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Answer:

Average speed = [tex]\frac{(x+y)}{2}[/tex] miles per hour

Step-by-step explanation:

Formula to calculate the average speed of an object is,

Average speed = [tex]\frac{\text{Total distance covered}}{\text{Time taken to cover this distance}}[/tex]

If I travel with the speed of x mph for t hours,

Total distance covered = Speed × Time

                                       = [tex]x\times t[/tex]

                                       = [tex]xt[/tex] miles

Similarly, if I travel with the speed y mph for t hours,

Total distance covered = [tex]yt[/tex] miles

Total distance covered by me = [tex](xt+yt)[/tex] miles

Total time taken to cover this distance = [tex]t+t[/tex]

                                                                 = [tex]2t[/tex] hours

Therefore, expression for the average speed will be,

Average speed = [tex]\frac{xt+yt}{2t}[/tex]

                          = [tex]\frac{(x+y)t}{2t}[/tex]

                          = [tex]\frac{x+y}{2}[/tex] miles per hour

We are given:

aᵇ = bᵃ

b = 2a

Finding (a+b):

Finding a:

replacing b by 2a in the first equation, we get:

(a²)ᵃ = (2a)ᵃ

(a²)ᵃ = 2ᵃ * aᵃ

a²ᵃ / aᵃ = 2ᵃ                  [dividing both sides by aᵃ]

aᵃ = 2ᵃ                          [because xᵃ / xᵇ = xᵃ⁻ᵇ]

a = 2                             [raising both sides to 1/a]

Finding b:

We are given that b = 2a

now that we know what a equals, we will plug that value here

b = 2(2)

b = 4

Finding a+b:

We found that a = 2, b = 4

a + b = 2 + 4 = 6

Step-by-step explanation:

4 .5 ×60min

4.5×60×60sec

16200 sec

1 hour -3600 sec                                                                                                    4,5 hoer - x sec                                                                                                         x=4,5* 3600=45*360=16200 sec                                                                     Answer: 4,5 hour = 16200 sec

Answer:

420.72

Step-by-step explanation:

Answer:

A≈102.79

Step-by-step explanation:

The formula for area of a circle is πr² so we need to substitute the r by 5.72.

π×5.7² = 102.79 m²

Answer:

Approximately 102.79 meters squared

Step-by-step explanation:

pi times 5.72 meters squared

Hope this helps!

Answer:

The angle measures approximately 18.19°.

Step-by-step explanation:

Since we want to find the angle and we are given the side adjacent to the angle and the hypotenuse, we can use the cosine ratio. Recall that:

[tex]\displaystyle \cos \theta = \frac{\text{adjacent}}{\text{hypotenuse}}[/tex]

The adjacent side is 19 and the hypotenuse is 20. Substitute:

[tex]\displaystyle \cos \theta = \frac{19}{20}[/tex]

We can take the inverse cosine of both sides:

[tex]\displaystyle \theta = \cos^{-1}\frac{19}{20}[/tex]

Use a calculator (make sure you're in Degrees Mode!). Hence:

[tex]\theta \approx 18.19^\circ[/tex]

The angle measures approximately 18.19°.

Answer:

4.8 miles per hour.

Step-by-step explanation:

Average speed=Total distance/Time taken

=26.2miles/5.5hour

=4.8 miles per hour

Answer:

On distributing the - sign outside the parenthesis we get,

-2h - 9.6k + 1

Answer:

28.62*0.057=1.63134

so about 1.63

Hope This Helps!!!

Answer:

2.56 kgs

Step-by-step explanation:

76.8kg ÷ 30 days = 2.56 kgs

Amount of sugar used - 76.8 kg

No. Of Days in Month of April - 30 days

∴ Sugar used each day is = 76.8 ÷ 30

[tex]76.8 \div 30 \\ \\ = \frac{76.8}{30} \\ \\ = \frac{768}{30 \times 10} \\ \\ = \frac{ \cancel{768}}{ \cancel{30} \times 10} \fbox{cancelling by 3} \\ \\ = \frac{256}{10 \times 10} \\ \\ = \frac{256}{100} \\ \\ = 2.56 \: kg[/tex]

Answer:

6×5+8×6+6×7+2×1/2×4×8

= 152 in^2

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☆Hope it helps...

Answer:

60ft

Step-by-step explanation:

DC is 50% longer than BD (given)

BD is 40ft (given)

DC is 50% longer than BD this means that DC= BD+50% of  BD

40ft +50/100 * 40

=40ft +20ft

=60ft

Another way to solve this could be DC is 150%of BD as BD =40ft=100% of it's length.

So, 150/100 *40

=60ft

Hope this helps.

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