Answer: 2h=24
Step-by-step explanation:
Answer:
<h2>a) Average velocity = 278 units</h2><h2>b)
Instantaneous velocity at t = 7 seconds is 148 units</h2>
Step-by-step explanation:
a) Average velocity is the ratio of displacement to time.
We have
s(t) = t³ + t
t is in between 7 and 12
s(7) = 7³ + 7 = 350
s(12) = 12³ + 12 = 1740
Displacement = 1740 - 350 = 1390
Time = 12 - 7 = 5
Displacement = Average velocity x time
1390 = Average velocity x 5
Average velocity = 278 units
b) s(t) = t³ + t
Differentiating
v(t) = 3t² + 1
At t = 7
v(t) = 3 x 7² + 1 = 148 units
Instantaneous velocity at t = 7 seconds is 148 units
Answer:
The equation of the line is y -24 = -5(x + 6)
Step-by-step explanation:
To find the equation of this line, we first need to find the slope. To do that, we use the slope equation.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-31 - 24)/(5 - -6)
m = (-31 - 24)/(5 + 6)
m = -55/11
m = -5
Now that we have the slope, we can use it and either point in point-slope form.
y - y1 = m(x - x1)
y - 24 = -5(x - -6)
y - 24 = -5(x + 6)
Out of every two consecutive numbers one will always be even. There is only one even prime number. Whether there are an infinite number of pairs of primes which differ by two (the twin prime conjecture) is still open e.g. 3 , 5; 41 , 43 ; 101 , 103 .
Answer:
17.5%
Step-by-step explanation:
=22÷126
=0.1746 or 0.175
to convert into percentages= 0.175x100℅
=17.5%
