Answer:
j
Step-by-step explanation:
Substitute the given values into x² + x + 1 and check if result is prime
x = - 4
(- 4)² - 4 + 1 = 16 - 4 + 1 = 13 ← prime
(- 2)² - 2 + 1 = 4 - 2 + 1 = 3 ← prime
(- 3)² - 3 + 1 = 9 - 3 + 1 = 7 ← prime
4² + 4 + 1 = 16 + 4 + 1 = 21 ← not prime
x = 4 serves as a counterexample to disprove this conclusion
23.2% of the total employees is 27,200
0.232x = 27,200
x = 27,200 / 0.232
x = 117,241 (thats rounded) <==
Answer:
a) 96m
b) 2 m/s^2
Step-by-step explanation:
The distance travelled in a velocity time graph as shown in the image is the area of the shape. As such, considering the first 14 seconds, the distance covered will be computed by finding the area of the shape.
Note that the shape to be considered ends t the 14 seconds mark. This shape is a trapezium. The area of a trapezium is given as
A = 1/2(a + b) h
where a and b are the parallel sides of the trapezium and h is the height As such, the distance covered in the first 14 seconds
= 1/2 (14 + 10) * 8
= 4 * 24
= 96m
The acceleration after 4 seconds
Acceleration is the rate of change of velocity with time, at time 0 second, the velocity is also 0 but at time 4 seconds, the velocity is 8 m/s hence, the acceleration after 4 seconds
= 8/4
= 2 m/s^2
Answer:
0.35
Step-by-step explanation:
Divide 35 by 100 and you get 0.35
