Answer:
71
Step-by-step explanation:
4, 7, 12, 21, 38, ...
- 2+2=2¹+2
- 4+3= 2²+3
- 8+4= 2³+4
- 16+5= 2⁴+5
- 32+6= 2⁵+6
next term:
nth term:
Step-by-step explanation:
Mean= Sumof all the numbers/ number of data
So,
23+37+11+58+13+45=187
Now...
187/6=31.166666667 Answer
hope it helps....
(d) The particle moves in the positive direction when its velocity has a positive sign. You know the particle is at rest when 
and 
, and because the velocity function is continuous, you need only check the sign of 
for values on the intervals (0, 3) and (3, 6).
We have, for instance 
and 
, which means the particle is moving the positive direction for 
, or the interval (3, 6).
(e) The total distance traveled is obtained by integrating the absolute value of the velocity function over the given interval:
which follows from the definition of absolute value. In particular, if 
is negative, then 
.
The total distance traveled is then 4 ft.
(g) Acceleration is the rate of change of velocity, so 
is the derivative of :
Compute the acceleration at 
seconds:
(In case you need to know, for part (i), the particle is speeding up when the acceleration is positive. So this is done the same way as part (d).)
A = l x w
so you know that the length is 3m longer than the width, so you could use a formula to represent that
w = l + 3
you then substitute the second equation into the first to solve for l
70 = l x (l +3)
70 = l^2 + 3l
you could then rearrange the formula and solve for l using the quadratic formula
0 = l^2 + 3l - 70
l = -3 +- (square root (3)^2 - 4(1)(70)) / 2(1)
l = -3 +- (square root 9 + 280) / 2
l = -3 +- (square root 289) / 2
l = -3 +- 17 / 2
then you solve for the two seperate roots
l = -3 + 17 /2
l = 14 / 2
l = 7
or
l = -3 - 17 / 2
l = -20 / 2
l = -10
since a length cannot be negative, this root is not viable. therefore l = 7
to solve for w you would use
w = l + 3
w = 7 + 3
w = 10
hope this helps! if you did not understand a step or concept please let me know!
Two numbers with factors 2,3,5 are 30 and 60.
when we multiply 2 x 3 x 5 = 30
we get answer 30 and then again multiply with the number that is greater than 1 is 2 and then we get 2 x 2 x 3 x 5 = 60
So the first two numbers with factors 2, 3 and 5 are 30 and 60.
