Answer:
popcorn=4$
soft drink=4.5$
Step-by-step explanation:
- if we used omitting method:
1-we multiply (p+s=8.5) by (-2) so we could get rid of (s) and be leftover with (p)
so: (-2p-2s= -17)
2- we subtract this equation from (p+2s=13) and the result will be (-p= -4)
3- divide them by (-1) and the result is (p=4)
4-(p+s=8.5) ,substitute (p) with (4) and make it go to the other side with negative sign and the result of (s) is (8.5-4=4.5)
- if we used substituting method:
1-(p+s=8.50), we will make (s) go to the other side with negative sign so the result is (p=8.50-s)
2-(p+2s=13.00), substitute (p) with (8.50-s):
(8.50-s+2s=13)
3- make (8.50) go to the other side with negative sign:
(s=13-8.50=4.5) and then you could get (p)
1/14 in 30 mins
30 mins x 14=420 mins
420 mins in hours =7 hours
Answer:
5.80 to the power of 3. I would say this is the answer if you just look closely at the number line and you will see the answer
(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).)
Answer:
106°
Step-by-step explanation:
Supplementary angles add up to 180°
180°- 74°
= 106°
