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Stella [2.4K]
3 years ago
5

A sequence is defined by the recursive function f(n + 1) = f(n). It f(3) = 9, what is f{1) ?

Mathematics
1 answer:
zhenek [66]3 years ago
8 0

Answer:

because f(n) = f(n + 1)

=> f(3) = f(2) = f(1) = 9

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In experiments where participants were allowed to sleep for an unlimited amount of time, participants tended to sleep 12 or more
Butoxors [25]

Answer:

Sleep debt

Step-by-step explanation:

Also called sleep deficit, sleep debt can be likened to a deficit in the bank such as a loan that must be repaid. The deficit accumulates and will have to balanced or there would be mental or psychological effect on the affected person. Research by The national sleep foundation requires Americans to sleep at least 7.1 hours per day.

There two types of sleep deprivation or sleep deficit: partial sleep deprivation and total sleep deprivation. In Partial sleep deprivation, the person may not get enough sleep per day example not up to 7.1 hours per day. Total sleep deprivation means that the affected person does not sleep for up 24 hours ie a full day.

7 0
3 years ago
Brian is finishing a meal at his favorite restaurant. The check shows that the cost of the food is $42. He adds a 15% tip to the
Rus_ich [418]

Answer:

48.30

Step-by-step explanation:

First determine the tip

42 *15%

42 *.15 =6.30

Add this to the amount of the tip

42 + 6.30 =48.30

The total amount is 48.30

7 0
3 years ago
You bike 1 mile the first day of your​ training, 1.3 miles the second​ day, 1.9 miles the third​ day, and 3.1 miles the fourth d
JulsSmile [24]

Answer:

19.9 miles

Step-by-step explanation:

In this problem we have:

d_1=1 mi is the distance travelled during the 1st day

d_2=1.3 mi is the distance travelled during the 2nd day

d_3=1.9 mi is the distance travelled during the 3rd day

d_4=3.1 mi is the distance travelled during the 4th day

We notice that the difference between the distance travelled on the (n+1)-th day and the distance travelled on the n-th day doubles every day. In fact:

d_2-d_1=0.3\\d_3-d_2=2\cdot 0.3 = 0.6\\d_4-d_3=2\cdot 0.6 = 1.2

Which can be rewritten using the general formula:

d_{n+1}-d_n=2(d_n-d_{n-1})

This means that

d_{n+1}=d_n+2(d_n-d_{n-1})

By applying this formula recursively, we can find the 7th term, which is the distance travelled on the 7th day:

d_1=1\\d_2=1.3\\d_3=1.9\\d_4=3.1\\d_5=3.1+2\cdot 1.2=5.5\\d_6=5.5+2\cdot 2.4=10.3\\d_7=10.3+2\cdot 4.8=19.9 mi

So, the  distance travelled on the 7th day is 19.9 miles.

7 0
3 years ago
Previously 5% of mothers smoked more than 21 cigarettes during their pregnancy. An obstetrician believes that the percentage of
mr Goodwill [35]

Answer:

p value = 0.03514

Step-by-step explanation:

Hypotheses would be

H_0: p = 0.05\\H_a: p

(left tailed test at 10% level of significance)

Here p stands for the sample proportion of mothers smoked more than 21 cigarettes during their pregnancy.

Sample size =130

persons who smoked = 2

Sample proportion = \frac{2}{130} \\=0.0154

Assuming H0 to be true

Std error= \sqrt{0.05*0.95/130} \\=0.01911

p difference = -0.0346

Test statistic z=-1.81

p value = 0.03514

Since p is less than 0.10, significance level, we reject H0

4 0
3 years ago
Ally borrows 22,000 for a car at a 4.2% interest rate over 4 years. how much interest does she pay
Olenka [21]

Answer:

344025

Step-by-step explanation:

20,000 x decimal multiplier

decimal multiplier = 1.0425

20,000 x 1.0425 = 20850

20850 x 15 = 344025

8 0
3 years ago
Read 2 more answers
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