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NeX [460]
4 years ago
8

In this geometric sequence, what is the common ratio?

Mathematics
1 answer:
diamong [38]4 years ago
6 0
Hi there! The correct answer is D. -1/2

104 × -1/2 = -52
-52 × -1/2 = 26
26 × -1/2 = -13
...

Each time you multiply the preceding number by -1/2. Therefore the common ratio in this sequence is -1/2
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Which ordered pairs make both inequalities true?
Arlecino [84]

Answer:

(0,-2) and (1, 1)

Step-by-step explanation:

7 0
3 years ago
A tower that is 126 feet tall casts a shadow 148 feet long. Find the angle of elevation of the sun to the nearest degree.
Iteru [2.4K]

Answer:

\boxed{\theta = 40 \degree}

Step-by-step explanation:

\tan( \theta )  =  \frac{opp}{adj}  =  \frac{126}{148}   \\  \theta =  { \tan}^{ - 1} (0.8513) \\ \theta = 40.4

6 0
3 years ago
What are the next 3 numbers in the number sequence?<br> 23, 31, 41, 53, …
Andrews [41]
23, 31, 41, 53,...

First lets find the pattern.

53 - 41 = 12
41 - 31 = 10
31 - 23 = 8

Pattern = 8 + 10 + 12

53 + 8 = 61
61 + 10 = 71
71 + 12 = 83

Next 3 numbers of the sequence are 61, 71, 83.

23, 31, 41, 53, <span>61, 71, 83</span>
5 0
3 years ago
Read 2 more answers
The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in sec
vlada-n [284]

Answer:

A)0 sec to 2 sec

B) 2 sec - 3 sec.

C)During 3 to 4  secs water balloon's height decreasing the fastest

D)The height of the water balloon at 16 seconds is 0

Step-by-step explanation:

Given : A linear model with ordered pairs at 0, 60 and 2, 80 and 3, 80 and 4, 20 and 6, 0 and 7, 0 and 8, 0. The x axis is labeled Time in seconds, and the y axis is labeled Height in feet.

x            y

0          60

2          80

3          80

4          20

6          0

7          0

8          0

A) During what interval(s) of the domain is the water balloon's height increasing

We can refer the table balloon height increasing from 60 to 80 and then starts decreasing

So, interval = 0 sec to 2 seconds

So, interval(s) of the domain is the water balloon's height increasing  is 0 sec to 2 sec

B) During what interval(s) of the domain is the water balloon's height staying the same

We can see that for 2  to 3  secs the height of the balloon is remaining same 80

So, interval(s) of the domain is the water balloon's height staying the same  is 2 sec - 3 sec.

C)During what interval(s) of the domain is the water balloon's height decreasing the fastest

During 3 to 4  - Decrease =\frac{60}{1}= 60 ft/s

During 4 to 6  - Decrease = \frac{20}{2}= 10 ft/sec  

During 3 to 4  secs water balloon's height decreasing the fastest

D: Use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds

After 6 secs balloon has reached ground so it will remain on ground

Hence  the height of the water balloon at 16 seconds is 0

4 0
3 years ago
Find 2 possible factors for the estimated product: 2,800
Leno4ka [110]

Answer:

The answer to your question is  140  and 20.


Step-by-step explanation:

You can easily just divide 28 by two and you’ll get 14 and 2. But to get 2800, you need to multiply those factors by ten. 140 x 20 = 2800


6 0
3 years ago
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