The relevant formula that we can use in this situation is:
v = v0 + at
where v is the final velocity, v0 is the initial velocity
= 20 km/hr, a is acceleration at 3.4 m/s^2 and t is time at 20 seconds
First convert v0 to m/s, v0 = 5.56 m/s
v = 5.56 m/s + 3.4 m/s^2 * 20 s
v = 73.56 m/s
Then convert back to km/hr:
<span>v = 264.82 km/hr</span>
Answer:
2 x^3
Step-by-step explanation:
sqrt(12 x^8)/ sqrt(3x^2)
combine into 1 term
sqrt(12x^8/3x^2)
when dividing exponents with the same base, we subtract
sqrt(12/3 x^(8-2))
sqrt(4 x^6)
sqrt(4) sqrt(x^6)
2 x^3
Answer 19:1
Work:
Students scoring above 80 -
9+18+72+15= 114
Students score exactly 80-
6
114/6 = 19
19 students scored above 80 for every 1 student that scored exactly 80.
Answer:
x = 2 + sqrt(5) or x = 2 - sqrt(5)
Step-by-step explanation using the quadratic formula:
Solve for x over the real numbers:
7 (x^2 - 4 x - 1) = 0
Divide both sides by 7:
x^2 - 4 x - 1 = 0
Add 1 to both sides:
x^2 - 4 x = 1
Add 4 to both sides:
x^2 - 4 x + 4 = 5
Write the left hand side as a square:
(x - 2)^2 = 5
Take the square root of both sides:
x - 2 = sqrt(5) or x - 2 = -sqrt(5)
Add 2 to both sides:
x = 2 + sqrt(5) or x - 2 = -sqrt(5)
Add 2 to both sides:
Answer: x = 2 + sqrt(5) or x = 2 - sqrt(5)
The correct answer is 0.8