Given:
r = 3.8x10⁵ km = 3.8x10⁸ m, the distance between the earth and moon,
F = 20.46x10²⁵ N, the gravitational force between the earth and the moon,
G = 6.674x10⁻¹¹ m³/(kg-s²), gravitational constant
M = 5.972x10²⁴ kg, the mass of the earth.
Let m = mass of the moon.
Then
F = (G*M*m)/r^2
or
m = (F*r^2)/(G*M)
In SI units,
m = [20.46×10²⁵ * (3.8×10⁸)²]/[6.674×10⁻¹¹ * 5.972×10²⁴]
= 7.4125×10²⁸ kg
Answer: 7.4125x10²⁸ kg
Answer:
Step-by-step explanation:
4(4) = -7(-3) - 5
16 = 21 - 5
16 = 16
answer is D
<h3>
Answer: 3</h3>
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Explanation:
This is the given piecewise function
We can rewrite things like this
I personally prefer this format better because it mentions the inputs first, and that leads to which function definition we go for.
The input a = 2 fits the description of 
since 
is a true statement. Therefore we go for the third line and can see that 
becomes 
-----------
As another example, if we had the input a = 7, then we'd go for the first line (since 7 > 3) and get
h(a) = 3a+2
h(7) = 3(7)+2
h(7) = 23
2 dozen = 24
If she gave away 7/8, that is 24/1(7/8)=21 given away.
So she has 24-21=3 left.
Given is the expression, x² + 12x + n
It says to find value of 'n' that converts it into a Perfect Square Trinomial.
A perfect square trinomial is a quadratic expression which has a single root with multiplicity 2. i.e. it is of the form :- x² + 2bx + b² = (x + b)²
On comparing it with the given expression, we get :-
So 2b = 12 and n = b²
b = 6
and so b² = 6² = 36.
⇒ n = 36
Hence, x² + 12x + 36 = (x + 6)² i.e. n = 36 is the final answer.
