Answer:
17 + 3n
Step-by-step explanation:
20, 23,26 ..............
This is an arithmetic series
First term = a = 20
Common difference = second term - first term
d = 23 - 20 = 3
nth terms = a + (n-1)*d
= 20 + (n -1) *3
= 20 + n*3 - 1*3
= 20 + 3n - 3
= 20 - 3 + 3n
= 17 + 3n
The answer is G. as per absolute value.
Answer: 0.0791
Step-by-step explanation:
Given : The probability that a baseball player will get a hit in any one at bat is 0.250.
Let x be the first hit.
According to the geometric probability , the probability that x (th) trial is the first success =
, where p is the probability of getting success in each trial.
As per given p= 0.250
Then, the probability that he will get his first hit on his 5th at bat will be :
Hence, the probability that he will get his first hit on his 5th at bat is 0.0791 .
Answer:
The arrow is at a height of 48 ft after approximately <u>0.55</u> s and after <u>5.45</u> s
Step-by-step explanation:
The following information is missing:
<em>The height of an arrow shot upward can be given by the formula s = v0*t - 16*t², where v0 is the initial velocity and t is time.How long does it take for the arrow to reach a height of 48 ft if it has an initial velocity of 96 ft/s? </em>
If the arrow is at a height of 48 ft and its initial velocity is 96 ft/s, then:
48 = 96*t - 16*t²
16*t² - 96*t + 48 = 0
16*(t² - 6*t + 3) = 0
t² - 6*t + 3 = 0
t² - 6*t + 3 + 6 = 0 + 6
t² - 6*t + 9 = 6
(t - 3)² = 6
t - 3 = √6
t - 3 = 2.45; t = 2.45 + 3; t = 5.45
or
t - 3 = -2.45; t = -2.45 + 3; t = 0.55
Implicit differentiation
take derivitive of both sides
1=15y^2dy/dx-12ydy/dx
1=dy/dx(15y^2-12y)
divide both sides by (15y^2-12y)
1/(15y^2-12y)=dy/dx
sub the point (-4,1)
1/(15(1)^2-12(1))=dy/dx
1/(15-12)=dy/dx
1/3=dy/dx
slope is 1/3
