Answer:
729
Step-by-step explanation:
3 to the power of 2 means 3 * 3 which is 9. 3 to the power of 4 means 3 * 3 * 3 * 3 which is 81. Finally, 9 * 81 which gives you 729.
Answer:
B 6,17
Step-by-step explanation: If you plug in the value of x from each of the choices only b gives the correct value of y. If you put 6 in the place of x in y= 3x-1 then y= 18-1 which is 17, and it does say 17 in 6,17.
<u>Answer:
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Required five terms of sequence are 19 , 12 , 5 , -2 and -9 .
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Solution:
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Need to find the five terms of the sequence.
Given recursive rule is f(x) = f(x-1) -7
Substituting x = 2 , f(2) = f(2-1)-7
= f(2) = f(1) – 7 ------(1)
Also given that f(2) = 12.
On substituting the given value of f(2) in eq (1) we get
12 = f(1) – 7
f(1) = 12 + 7 = 19
Using given recursive rule and given value of f(2) calculating f(3)
Substituting x = 3 ,
f(3) = f(3-1) – 7
= f(2) – 7
= 12 – 7
= 5
Using given recursive rule and calculated value of f(3) calculating f(4)
Substituting x = 4,
f(4) = f(4-1) – 7
= f(3) – 7
= 5– 7
= -2
Using given recursive rule and calculated value of f(4) calculating f(5)
Substituting x = 5,
f(5) = f(5-1) – 7
= f(4) – 7
= -2– 7
= -9
Hence required five terms of sequence are 19 , 12 , 5 , -2 and -9 .
Answer:
390 seniors
Step-by-step explanation:
13/20=.65
600x .65=390
Answer: 0.62
Step-by-step explanation:
Given : A recent Harris Poll survey of 1010 U.S. adults selected at random showed that 627 consider the occupation of firefighter to have very great prestige.
i.e. The sample size of U.S. adults : n= 1010
The number of U.S. adults consider the occupation of firefighter to have very great prestige : x= 627
Now , the probability that a U.S adult selected at random thinks the occupation of firefighters has very great prestige will be :
[ To the nearest hundredth]
Hence, the estimated probability that a U.S adult selected at random thinks the occupation of firefighters has very great prestige = 0.62
