Use the given times and velocities to make two points: (1,4) and (2,2)
Part A:
Slope is the change in Y over the change in X from the two pints you made:
Slope = (2-4) / (2-1 )= -2
Now you have the slope, calculate the Y-intercept
y = -2x + b
Using (1,4)
4 = -2(1) + b = 4 =-2 +b. b = 6
Equation is: y = -2x+6
Part B:
using the above equation replace x with 1, 2, 3, and 4 and solve for the Y
then plot those onto a graph
Answer:
1.5625%
Step-by-step explanation:
P(correct) = 1/4
Since all the attempts are independent, probability of all three correct is:
¼ × ¼ × ¼
1/64
1/64 × 100
1.5625%
The answer would be 50 if you're doing any form of division on it
Answer:
Given the series,
∑ ∞ n = 1 − 4 ( − 1 / 2 ) n − 1
I think the series is summation from n = 1 to ∞ of -4(-1/2)^(n-1)
So,
∑ − 4 ( − ½ )^(n − 1). From n = 1 to ∞
There are different types of test to show if a series converges or diverges
So, using Ratio test
Lim n → ∞ (a_n+1 / a_n)
Lim n → ∞ (-4(-1/ 2)^(n+1-1) / -4(-1/2)^(n-1))
Lim n → ∞ ((-4(-1/2)^(n) / -4(-1/2)^(n-1))
Lim n → ∞ (-1/2)ⁿ / (-1/2)^(n-1)
Lim n→ ∞ (-1/2)^(n-n+1)
Lim n→ ∞ (-1/2)^1 = -1/2
Since the limit is less than 0, then, the series converge...
Sum to infinity
Using geometric progression formula
S∞ = a / 1 - r
Where
a is first term
r is common ratio
So, first term is
a_1 = -4(-½)^1-1 = -4(-½)^0 = -4 × 1
a_1 = -4
Common ratio r = a_2 / a_1
a_2 = 4(-½)^2-1 = -4(-½)^1 = -4 × -½ = 2
a_2 = 2
Then,
r = a_2 / a_1 = 2 / -4 = -½
S∞ = -4 / 1--½
S∞ = -4 / 1 + ½
S∞ = -4 / 3/2 = -4 × 2 / 3
S∞ = -8 / 3 = -2⅔
The sum to infinity is -2.67 or -2⅔
<h2>
Step-by-step explanation: PHEW THAT TOOK A WHILE LOL IM A FAST TYPER</h2>
Answer:
f
Step-by-step explanation: