Answer:
420 miles.
Step-by-step explanation:
You would have to be infinitely far away from a sphere in order to see exactly 50% of its surface all at the same moment. Using simple geometry, you can prove that an observer that is a distance d away from the surface of a sphere with radius R can only see a percent area A of the sphere's surface as given by the equation:
A = 50%/(1+R/d)
Where A is the area seen,
R is the earth's radius 4000 miles
And D is the distance above the earth 200 miles
50% = 0.5 in fraction
Substituting values we have
A = 0.5(1 + 4000/200)
A = 0.5(1 + 20) = 0.5 x 21
A = 10.5%
10.5% of 4000 miles = 420 miles.
Answer:
Step-by-step explanation:
In this case, the example is missing the negative sign.
This is an example of scientific notation, which is used to reduce a very large number into a short expression like: 0.000000005, which is reduced in the expression .
It's important to say that the negative sing in the exponent, indicates that all zeros that are being reduce, are placed at the right of the number. Also, to apply a correctly scientific notation, the number reduced should be between 0 and 10.
Step-by-step explanation:
3 - 2(b - 2) = 2 - 7b
To solve this first distribute -2 to (b - 2)
3 + (-2b + (-2) x -2) = 2 - 7b
when we simplify this it becomes:
3 + (-2b + 4) = 2 - 7b
We take (-2b + 4) out of the parenthesis:
3 - 2b + 4 = 2 - 7b
Now simplify again.
7 - 2b = 2 - 7b
Now send all the b's to one side and constants on the other.
7 - 2 = -7b +2b
5 = 5b
b = 1
To find x-intercept, put the Y value = 0;
4x - 2y = -12
-> 4x -2.0 = -12
-> 4x = -12
-> x = -12/4
-> x = -3
X-intercept: (-3,0)
Now do the reverse to find the y-intercept, X = 0;
4x - 2y = -12
-> 4.0 - 2y = -12
-> -2y = -12 x(-1)
-> 2y = 12
-> y = 12/2
-> y = 6
Y-intercept: (0, 6)
Answer:
Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively
Step-by-step explanation:
We have the functions, f(x) = eˣ and g(x) = x+6
So, their composition will be g(f(x)).
Then, g(f(x)) = g(eˣ) = eˣ+6
Thus, g(f(x)) = eˣ+6.
Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.
Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.
Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.