<span>gimme a second i a thinking.
</span>
Answer:
y=($3/1h)x+$4, it costs $19 to rent the bike for 5 hours.
Explanation:
An equation in slope-intercept form is y=m*x+n. In this case y would be the cost of rent, while x is the time. We need to determine m and n.
At the very beginning, x=0h (h is hours), the cost of rent is the deposit, so we know that $4=m*0h+n=n. Then we know that the cost of rent must increase by $3 with each hour, which means that the slope is m=$3/1h. Another way of getting this value would be to think on a particular case: after 1 hour, the cost of rent should be the deposit plus an hour of rent, or $7, so it should happen that <em>$7</em>=m*<em>1h</em>+$4 (where the $4 we already know is the value of n, and the numbers in italics are the values for the particular case we are looking for), from where we get that m*1h=$3, so m=$3/1h (the same result as before).
Putting all together, we have y=($3/1h)x+$4, and for 5 hours we get y=($3/1h)(5h)+$4
Answer:
D . Sound energy
Explanation:
When the strings of a violin vibrate it produces sound which is sound energy. Due to the vibration of the strings the air present near the strings also vibrate in resonance with the strings. This compreesion and decompression's produced in the air is nothing but the sound. So the form of energy given off by the vibrating strings of the violin is Sound energy.
Answer:
For it is a Globular Cluster
Explanation:
These Globular clusters are not considered to be a galaxies because they bond gravitationally to orbiting galaxies like the Milky Way and their masses are relatively small.
In globular clusters, the stars are closed together and they are like 70times closer to one another in their solar neighbourhood.
A globular cluster is a spherical collection of stars that orbits a galactic core. Globular clusters are very tightly bound by gravity, which gives them their spherical shapes, and relatively high stellar densities toward their centers.
Answer:
b) 6
Explanation:
Given
v(t)=3t²+6t
X(0) = 2
X(1) = ?
Knowing that
v(t)=3t²+6t = dX/dt
⇒ ∫dX = ∫(3t²+6t)dt
⇒ X - X₀ = t³ + 3t²
⇒ X(t) = X₀ + t³ + 3t²
If X(0) = 2
⇒ X(0) = X₀ + (0)³ + 3(0)² = 2
⇒ X₀ = 2
then we have
X(t) = t³ + 3t² + 2
when
t = 1
X(1) = (1)³ + 3(1)² + 2
X(1) = 6
