Let the slower train's velocity be x-21
Let the faster train's velocity be x
We know that the approach speed is the sum of both speeds, so x+x -21= 2x-21.
The approach rate is given by Distance/time = 471/3 = 157mpH
x+x-21=157
2x=157+21
2x=178
x=89mph
The slower train is travelling 89-21 = 68mph
The faster train is travelling 89mph.
Answer: the rate of the jet in still air is 685 mph and the rate of the jetstream is 75 mph
Step-by-step explanation:
Let x represent the rate of the jet in still air.
Let y represent the rate of the jet jetstream.
Distance = speed × time
Flying against the jetstream, a jet travels 3050 miles in 5 hours. This means that the total speed of the jet would be (x - y) mph. Therefore,
3050 = 5(x - y)
3050/5 = x - y
x - y = 610 - - - - - - - - - - - - - -1
Flying with the jetstream, the same jet travels 3800 miles in 4 hours. This means that the total speed of the jet would be (x + y) mph. Therefore,
3800 = 4(x + y)
3800/5 = x + y
x + y = 760 - - - - - - - - - - - - - -2
Adding equation 1 to equation 2, it becomes
2x = 1370
x = 1370/2 = 685mph
Substituting x = 685 into equation 1, it becomes
685 - y = 610
y = 685 - 610 = 75mph
Standard form:
5,098,000
Scientific notation.
1) only 1 digit should be before the decimal point.
5.098000
2) only non-zero number must be part of the coefficient. the rest are included in the base of 10.
5.098 x 10^6 Choice D.
Exponent is the number of times the decimal moved from its original placement to its place after the 1st digit.
Option (A) represents the function and its inverse of a function option (A) is correct.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function and inverse of a function shown in the picture.
Checking for option (A):
Taking f(x):
To find the inverse of a function interchange the x and y variables:
f(x) → x
x → g(x)
Solving:
4x = g(x) + 10
g(x) = 4x - 10
Similarly, we can find the inverse of a function.
Thus, option (A) represents the function and its inverse of a function option (A) is correct.
Learn more about the function here:
brainly.com/question/5245372
#SPJ1
The solution to the problem is as follows:
kilo -> 1000
<span>centi -> 100
</span>
<span>2.4 x 1000 g = 24 x 100 g. </span>
<span>So, on the left we have 2.4 kg, and on the right we have 24 cg
</span>
I hope my solutions has come to your help. Thank you and have a nice day ahead!
