Answer:
<em>The distance between the two villages is 16.5 Km</em>
Step-by-step explanation:
<u>Constant Speed Motion</u>
It's a type of motion in which the distance of an object changes by an equal amount in every equal period of time.
If v is the constant speed, the object travels a distance x in a time t, given by the equation:
x=vt
Amar cycles at v=18 Km/h for t=55 minutes. We need to calculate the distance traveled between the two villages.
Since the speed and the time are given in different units, we convert the time to hours, recalling that 1 hour=60 minute.
t=55 min = 55/60 hours
For the sake of precision, we won't operate the division so far. Compute the distance:
x=18 *55/60=16.5 Km
The distance between the two villages is 16.5 Km
Answer:
18
Step-by-step explanation:
There are 2+3 = 5 ratio units representing 45 band members, so each ratio unit represents 45/5 = 9 band members.
The 2 ratio units of sixth graders represent 2×9 = 18 sixth grade band members.
Answer:
If the limit that you want to find is
then you can use the following proof.
Step-by-step explanation:
Let
and
be the given polinomials. Then

Observe that

and

Then

The potential energy, E, of the penny is given by E=mgh. The energy, Q, required to raise the temperature of an object by an amount ΔT is given by Q=mcΔT. We can equate these two to get the result but we must use proper units and include the 60%:
(0.6)mgh=mcΔT
We see we can divide out the mass from each side
0.6gh=cΔT, then 0.6gh/c=ΔT
(0.6)9.81(m/s²)50m/385(J/kg°C) = 0.7644°C
since this is the change in temperature and it started at 25°C we get
T=25.7644°C
As you can see the result does not depend on mass. The more massive the copper object the more potential energy it will have to contribute to the heat energy, but the more stuff there will be to heat up, and the effect is that the mass cancels.
Answer:
Option A is correct.
The first step in solving the inequality is:
to distribute -4 to get 
Step-by-step explanation:
The distributive property says that:

Given the inequality:

Apply the distributive property we have;

Simplify:

Therefore, the first step in solving the inequality is:
to distribute -4 to get 