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DerKrebs [107]
2 years ago
11

A sequence is defined by the recursive formula f(n + 1) = 1.5f(n). Which sequence could be generated using the formula? –12, –18

, –27, ... –20, 30, –45, ... –18, –16.5, –15, ... –16, –17.5, –19, ...
Mathematics
2 answers:
pashok25 [27]2 years ago
4 0
<span>Formula f(n+1) = 1.5 f(n) => f(n+1) / f(n) = 1.5. That means, that you have to search for a sequence where the ratio of two consecutive terms is 1.5. The first sequence is the only one that meets that: - 18 / - 12 = 1.5 and - 27 / - 18 = 1.5. So, the answer is the first option: -12, -18, -27, ...</span>
vovangra [49]2 years ago
4 0

Answer: –12, –18, –27, ...  [ A.K.A: (A.) ]

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Vincent goes to the gym for 30 minutes every day. He starts a new exercise routine on a Monday and uses a function to model the
Sedbober [7]

Complete question is;

Vincent goes to the gym for 30 minutes every day. He starts a new exercise routine on a Monday and uses a function to model the amount of calories he has used, f(d), as a function of the number of days, d, he has exercised with the new routine.

Which statement represents a correct interpretation of f(d) ?

A. f(5) = 150 means Vincent has exercised for a total of 150 minutes after the fifth day of exercising with his

new routine

B. f(10) = 3500 means Vincent will use 3,500 calories on day 10 of exercising with his new routine.

C. f(15) = 5250 means after 15 days of exercising with his new routine, Vincent has used 5,250 calories.

D. f(30) = 10500 means the number of calories Vincent has used times 30 is equal to 10,500

Answer:

Option A: f(5) = 150 means Vincent has exercised for a total of 150 minutes after the fifth day of exercising with his

new routine .

Step-by-step explanation:

We are told that f(d), is a function of the number of days, d, he has exercised with the new routine.

We are also told that he goes to the gym for 30 minutes daily.

Thus;

For option A, f(5) means that he went to the gym for 5 days. At 30 minutes per day means he exercised for a total of: 30 × 5 = 150 minutes. So option A is correct

For option B, f(10) means that he went to the gym for 10 days. At 30 minutes per day means he exercised for a total of: 30 × 10 = 300 minutes. Thus, option B is wrong

For option C, f(15) means that he went to the gym for 15 days. At 30 minutes per day means he exercised for a total of: 30 × 15 = 450 minutes. Thus, option C is wrong.

For option D, f(30) means that he went to the gym for 30 days. At 30 minutes per day means he exercised for a total of: 30 × 30 = 900 minutes. Thus, option D is wrong.

8 0
3 years ago
Given the following equation of the hyperbola, what are the x-values of the vertices? x^2/4 - y^2/49 = 1 is it 2 and -2?
Jet001 [13]

Answer:

  yes, ±2

Step-by-step explanation:

The x-intercepts are found by setting y=0 and solving for x:

  x^2/4 = 1

  x^2 = 4

  x = ±√4

  x = ±2

The x-values of interest are -2 and +2.

3 0
3 years ago
solve the average time for a student to complete this quiz is 24 24 minutes with a standard deviation of 2 minutes. What is the
LuckyWell [14K]

Answer:

The correct answer is "(18, 30) minutes".

Step-by-step explanation:

Mean,

= 24

Standard deviation,

= 2

The range of minutes where 99.7% of individuals completed the quiz will be:

= Mean \pm 3\times Stdev

On substituting the values, we get

= 24 \pm 3\times 2

= 24 \pm 6

now,

= 24-6

= 18

Or,

= 24+6

= 30

i.e., 18 to 30 minutes

3 0
3 years ago
What is the period of the function f(x)=sin(x/2)
Liula [17]
The period of the function is 2pi
3 0
3 years ago
-845 degree coterminal angle
meriva
Check the picture below.

with negative angles, we go "clockwise", the same direction a clock hands move.

so -360-360-125 = -845.

so as you see in the picture, you go around twice, and then a little bit more, an extra 125°, landing you at -125°, or its positive counterpart, 235°.

6 0
2 years ago
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