Answer:
y(x) = 7e^(5x)
Step-by-step explanation:
The question says that the slope of the curve at every point P is five times the y-coordinate of P. This means that
dy/dx = 5y
Refer to solutions of differential equations, dy/dt = ky, being in the form of y(t) = y(0) e^(kt)
Using the above stated law now, we can relate to our equation, saying that
y(x) = y(0) e^(5x)
The point given from the question is, (0, 7). This also means that y(0) = 7. So finally, we can have
y(x) = 7e^(5x)
And that is our needed equation of the curve
Hi there!

Find the volume of a sphere using the following equation:
V = 4/3πr³
Substitute in the given radius:
V = 4/3π(1)³
V = 4/3π or ≈ 4.19 units³
98 - x² = 0
x² = 98
x = ±√98
Lets factor 98
98 | 2
49 | 7
7 | 7
1
So, 98 = 2 . 7 . 7 = 2 . 7²
x = ±√2.7²
x = ±7√2
We know that
In French club <span>there are
10 freshman
</span><span>12 sophomores
15 juniors
30 seniors
total of the members------> (10+12+15+30)=67
total </span> freshman-----> 10
so
<span>the probability that a freshman will be chosen=10/67
and
</span><span>the probability that a freshman will not be chosen=(67-10)/67
</span>the probability that a freshman will not be chosen=57/67---> 0.8507
0.8507= 85.07%
the answer is
the probability that a freshman will not be chosen is 85.07%
Answer:
everyone except his smaller siblings will be older than him
Step-by-step explanation:
if you need the correct answer say the full question you
dumb