Answer:
Step-by-step explanation:
you have t as a total amount of the whole class.
f= did not pass and you place the total number next to it like this; f/t represents that group. You continue this in your workings.
f/t = probability failed.
p/t = probability passed
c/t = probability completed
dc/t = probability did not complete
and draw a tree.
The random would be either of these, we know there s a possibility of 1/4 but the odds stay central. We look for a new way after this data is converted as a fraction and show these fractions as your answer.
and h(x)= 2x-8
g o h is a composition function
First we find g o h
g o h is g(h(x))
We plug in h(x) in g(x)
We replace x with 2x-8 in g(x)
To find domain we look at the domain of h(x) first
Domain of h(x) is set of all real numbers
now we look at the domain of g(h(x))
Negative number inside the square root is imaginary. so we ignore negative number inside the square root
So to find domain we set 2x - 12 >=0 and solve for x
2x - 12 >=0
add both sides by 12
2x >= 12
divide both sides by 2
x > = 6
Answer:
remainder 25
Step-by-step explanation:
if 42,325 is divided by 47the result is 25,
firstly divide 42,325 by 47, you will see that it can only divide 42,325 which is 900 without any remainder,then the 900 is the whole number and 25 is remaining from the subtraction of 42,325-42,300=25 ,and 25 has to be divided by 47 but it is not up to 47,then we have it as a remainder,
so 25 is the remainder
Answer:
2.08 x 10^10 J.
Step-by-step explanation:
Given:
m = 1400 kg
H = 2 x 10^6 m
R = 6.4 x 10^6 m
M = 6 x 10^24 kg
G = 6.67 x 10^-11
F = GMm/r^2
= GMm/r²
Work needed to lift a mass m from R (the surface) to R+h (height h above the surface) is just the difference of potential energy between those two altitudes. And potential energy is the r-integral of the force:
V(r) = -GMm/r
So you can calculate the lifting work from that.
Work, W = V(R+h) - V(R)
= GMm[1/R - 1/(R+h)]
Inputting values,
W = (6.67 × 10^−11) * (6 × 10^24) * (1400) * [(1/6.4×10^6) - (1/(6.4 × 10^6)+(2 × 10^6))]
= 2.08 x 10^10
W = 2.08 x 10^10 J.
