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asambeis [7]
3 years ago
11

What is the common ratio for this geometric sequence 3,12,48,192

Mathematics
1 answer:
NARA [144]3 years ago
8 0

Answer: The common ratio is 4.

Step-by-step explanation:

Each term is four times the last term.  The common ratio of a geometric sequence is the number that is being multiplied by each time to get the next term, which is four in this case.

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The area of a circular sun spot is growing at a rate of 1,200 km2/s.
Tpy6a [65]
A)

\bf \textit{area of a circle}\\\\
A=\pi r^2
\\\\\\
\cfrac{dA}{dt}=\pi \cdot 2r\cfrac{dr}{dt}\implies \cfrac{dA}{dt}=2\pi r\cfrac{dr}{dt}\implies \cfrac{\frac{dA}{dt}}{2\pi r}=\cfrac{dr}{dt}\\\\
-----------------------------\\\\
\left. \cfrac{dr}{dt}  \right|_{r=3000}\implies \cfrac{1200}{2\pi \cdot 3000}=\cfrac{dr}{dt}\\\\

B)

\bf A=\pi r^2\qquad A=490000\implies 490000=\pi r^2\implies \sqrt{\cfrac{490000}{\pi }}=r
\\\\\\
\left. \cfrac{dr}{dt}  \right|_{r=\sqrt{\frac{490000}{\pi }}}\implies \cfrac{1200}{2\pi \cdot \sqrt{\frac{490000}{\pi }}}=\cfrac{dr}{dt}

8 0
3 years ago
In RST, m R =(2x+10)°, m 5=(2x+25)°, and m T=(x-5)°.
cricket20 [7]

We know that : Sum of Angles in a Triangle is equal to : 180°

⇒ In ΔRST, The Sum of Angles ∠R , ∠S , ∠T should be equal to 180°

⇒ m∠R + m∠S + m∠T = 180°

⇒ (2x + 10)° + (2x + 25)° + (x - 5)° = 180°

⇒ (2x + 2x + x) + (10° + 25° - 5°) = 180°

⇒ 5x + 30° = 180°

⇒ 5x = 180° - 30°

⇒ 5x = 150°

⇒ x = 30°

5 0
3 years ago
Eileen drove for 85 minutes. This is 21 more minutes than one third the number of minutes Ethan drove. How do I put this into an
Lapatulllka [165]
So let's start out by labeling Ethan as X

Since 85 is 1/3 of what Ethan drove, that means Ethan drove 3 times of 85.

85= (3x) -21                                 
85 -21 = 3x
60=3x
20 = x 
6 0
3 years ago
Read 2 more answers
An electronic device that previously sold for $21.00 has been reduced to $17.43. The price reduction, rounded to the near east w
svet-max [94.6K]

The percentage of reduction is 17%

<u>Explanation:</u>

Original price = $21

Reduced price = $17.43

Percentage of reduction = ?

Difference in price = $21 - $17.43

                               = $3.57

Percentage of reduction = \frac{difference}{original} X 100

                                         = \frac{3.57}{21} X 100\\\\= 17

Therefore, percentage of reduction is 17%

7 0
3 years ago
Determine if it is a function, find the domain and the range.
wlad13 [49]

Answer:

it is not function

Step-by-step explanation:

because,

first of all,what do mean function

A function is a relation in which each element of the domain corresponds to exactly one

element of the range.

based on this description

Since the domain element 1 is assigned to two different values in the range, -1 and 1, so that it is

not a function

6 0
3 years ago
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