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3 years ago

What is the 8th term in a geometric sequence where the first term is equal to 4 and the common ration is 2?

Mathematics

1 answer:

DochEvi [55]3 years ago

5 0

Answer:

512

Step-by-step explanation:

1st term =a

common ratio = r

a*r with the exponent n-1

a=4 r=2 n=8

8th term 4*(2 at the seventh power)= 512

1st term :4

2nd term = 4*2=8

3rd term 8*2=16

4th term 12*2=32...............8th term 256*2=512

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Combine like terms. (−2n−2)+(6+8m)+(8m+4n)

katrin2010 [14]

Answer:

16m + 2n + 4

Step-by-step explanation:

( −2n −2) + (6 + 8m) + (8m + 4n)

−2n + −2 + 6 + 8m + 8m + 4n

(8m + 8m) + ( −2n + 4n) + (−2 + 6)

16m + 2n + 4

7 0

2 years ago

A chemical flows into a storage tank at a rate of (180+3t) liters per minute, where t is the time in minutes and 0<=t<=60

Yuliya22 [10]

Answer:

The amount of the chemical flows into the tank during the firs 20 minutes is 4200 liters.

Step-by-step explanation:

Consider the provided information.

A chemical flows into a storage tank at a rate of (180+3t) liters per minute,

Let $c(t)$ is the amount of chemical in the take at t time.

Now find the rate of change of chemical flow during the first 20 minutes.

$\int\limits^{20}_{0} {c'(t)} \, dt =\int\limits^{20}_0 {(180+3t)} \, dt$

$\int\limits^{20}_{0} {c'(t)} \, dt =\left[180t+\dfrac{3}{2}t^2\right]^{20}_0$

$\int\limits^{20}_{0} {c'(t)} \, dt =3600+600$

$\int\limits^{20}_{0} {c'(t)} \, dt =4200$

So, the amount of the chemical flows into the tank during the firs 20 minutes is 4200 liters.

5 0

3 years ago

which has the greater volume: Prism with a length of 5 inches, a width of 4 inches, and a height of 10, or a prism with a length

GuDViN [60]

Since you have to multiple. L×W×H....

The first one has a volume of 400 and the second has a volume of 400...so both prisms have an equal volume but have a differnet shape

7 0

3 years ago

PLEASE HELP! due tmr! 24 26 55 99

SVETLANKA909090 [29]

Answer:

99°

Step-by-step explanation:

Internal Angles of triangles ALWAYS add up to 180°

So, 180° is our total.

We can form an equation. x° + 55° + (4x - 5)° = 180°

We can remove the brackets to form; x° + 55° + 4x° - 5° = 180°

We can get rid of the like terms by either adding or subtracting them.

x° + 4x° + 55° - 5° = 180°

5x° + 50° = 180°

We can then subtract 50° from both sides.

5x° = 180° - 50°

5x° = 130°

We then make x the subject and divide both sides by 5°

x = 26

x was our unknown so where there is x we put 26

The angle on the far left is simply 26°

The other angle, (4x-5)° becomes (4(26) - 5)°

If you simplify that, you get (104-5)°

Hence the last angle was 99°

If you want to ensure that your answer is correct, simply add the angles. They should always add up to 180° if you're working with a triangle

55° + 26° + 99° = 180°

7 0

3 years ago

Read 2 more answers

I need help ASAP only answer if you can explain your answer

cupoosta [38]

Line FE because the radius is from one point of the circumference of the circle to the center of the circle and that is the only option

7 0

3 years ago