Answer:
The square root of 125 is 11.18033988749895
Step-by-step explanation:
Answer:
The total amount of money received at the lemonade stand was $49.50
Step-by-step explanation:
Let
x ---> the number of small drinks sold
y ---> the number of medium drinks sold
we know that
The stand sold 72 drinks
so
----> equation A
The ratio of small drinks to medium drinks sold was 5:3
----> equation B
substitute equation B in equation A
Find the value of x
Find out the total amount of money received at the lemonade stand
Assuming that x is on the horizontal and y on the vertical y = 35*x so the second option
The question regards composite functions. A composite function is a function composed of more than one function. Sorry for saying the word function so many times there, it's just what it is...
The phrase f(g(x)) means 'perform g on an input x, then perform f on the result'. You can then see that there are many options for f(x) and g(x) here, in fact an infinite number of one were to be ridiculous about it.
However a sensible choice might be g(x) = x^2, and f(x) = 2/x + 9. Checking:
g(x) = x^2
f(g(x)) = 2/(x^2) + 9
That is the first question dealt with. Next up is Q2. It is relatively simple to show that these functions are inverses. If you start with a value x, apply a function and then apply the function's inverse, you should return to the same starting value x. To take a common example, within a certain domain, sin^-1(sin(x)) = x.
f(g(x)) = (sqrt(3+x))^2 - 3 = 3 + x - 3 = x
g(f(x)) = sqrt(x^2 - 3 + 3) = sqrt(x^2) = x
A final note is that this is only true for a certain domain, that is x <= 0. This is because y = x^2 is a many-to-one function, so unrestricted it does not have an inverse. Take the example to illustrate this:
If x = -2, f(x) = (-2)^2 - 3 = 4 - 3 = 1
Then g(f(x)) =sqrt(1 + 3) = sqrt(4) = 2 (principal value).
However the question isn't testing knowledge of that.
I hope this helps you :)
Answer:
1) 8.073 (multiply 0.621 by 13km)
2)1,320,000,000(5280ft times 250,000)
3)37.850(10,000 divided by 264.2)
4)4hrs
5)157680000
(60 seconds in one minute and 60 min in one hr so 60 times 60 =3600 in one hr. then multiply 3600 by 24 for the entire day which is 86400sec. Then multiply that day by 365 which is 31536000 times 5 years which gets us our total of 157680000 seconds.
6) 758000 L
1 gal = 3.79 L so we have to multiply 3.79 times 200,000 which gets us 758000
Step-by-step explanation:
1) To get this answer we need to find out how many miles are in one kilometer. 0.621 mile is 1 km so we need to put 13 for km which will get 8.073 miles. SO the answer is 8.073
2) we need to find how many feet are in a mile. 1 mile= 5,280. so 5280 times 250,000 = 1320000000
3) 264.2 gal= 1 cubic meter so 10,000/264.2= 37.850
4) 1 hr= 60 min = 4hrs and 58 minutes roughly
5) 60 sec is 1 minute= so 60 times 60(the minutes in
