First, note that 100 m = 0.100 km.
Recall that
<em>v</em>² - <em>u</em>² = 2 <em>a</em> ∆<em>x</em>
where <em>u</em> and <em>v</em> are initial and final velocities; <em>a</em> is acceleration; and ∆<em>x</em> is displacement. Solve for <em>a</em> :
(72 km/h)² - (108 km/h)² = 2 <em>a</em> (0.100 km)
<em>a</em> = ((72 km/h)² - (108 km/h)²) / (0.200 km)
<em>a</em> = -32,400 km/h²
If you want to convert this to m/s², we have
(-32,400 km/h²) = (-32,400 km/h²) (1000 m/km) (1/3600 h/s)²
(-32,400 km/h²) = -2.50 m/s²
V = (1/2)(13)(16)(12) cm^3
V = (1/2)(2,496) cm^3
V = 1248 cm^3
Answer:
Step-by-step explanation:
Look at the differences between terms.
The initial term is -12, and each successive term is 7 more than the preceding term:
a₂ = a₁ + 7
a₃ = a₂ + 7
Etc.
a₁₃ = a₁ + (13-1)7 = -12 + (12)7 = 72
Answer:
Yes
Step-by-step explanation:
To determine is an ordered pair is a solution to the system of equations, substitute its coordinates into each of the equations.
An ordered pair is written in the form (x, y), so x=1 and y=2.
y = -2x +4
2 = -2(1) + 4 <=simplify this by multiplying (-2)(1)
2 = -2 + 4 <= add
2 = 2 <= same answers
LS = RS
7x - 2y = 3
7(1) - 2(2) = 3 <=simplify this but multiplying 7(1) and 2(2)
7 - 4 = 3 <= subtract
3 = 3 <= same answers
LS = RS
Since (1, 2) satisfies both of the equations, it is a soltuion to the system of equations.
Answer:
The roles can be assigned in 15120 ways.
Step-by-step explanation:
The parts, which means that the order in which the people are selected is important. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
In this question:
5 people chosen from a set of 9. So
The roles can be assigned in 15120 ways.
