There are eight cities on the list.
The number of groups of 2 is (8·7)/2 = 28
The number of groups of 3 is (8·7·6)/(3!) = 56
The number of groups of 4 is (8·7·6·5)/(4!) = 70
The number of groups of 5 is (8·7·6·5·4)/(5!) = 56
The number of groups of 6 is (8·7·6·5·4·3)/(6!) = 28
The number of groups of 7 is (8·7·6·5·4·3·2)/(7!) = 8
So there are (28+56+70+56+28+8) = 246 ways to visit "some" of them.
There's only one way to visit "all" of them, and
there's only one way to visit "none" of them.
So, all together, Louise has 248 travel options.
If she decides to visit Chicago, I will show her a good time.
Answer:
8.0
Step-by-step explanation:
The attached shows guesses until we have an answer accurate to 6 decimal places. Rounded to 1 decimal place, the answer is 8.0 years.
This (8 years) was our initial guess, based on the "rule of 72" which says the doubling time for 9% interest is 72/9 = 8 years.
Our second guess, at 8.1, was farther away from the doubled value, so the first guess at 8.0 is closer.
t = 8.0
The equation of the function in vertex form is y = -(x + 5)² + 4
<h3>What is quadratic equation?</h3>
A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .
Given that the quadratic function has roots at -3 and -7 and a vertex at (-5,4).
We need to find the equation of the function in vertex form
equation of the function in vertex form.
As per the information given in the question,
The given roots of the function are -3 and -7,
y = a (x + 3) (x + 7)
y = a (x² + 10x + 21)
y = a (x² + 10x + 25 − 4)
y = a (x² + 10x + 25) − 4a
y = a (x + 5)² − 4a
The vertex is (-5, 4),
So, a = -1.
y = -(x + 5)² + 4
Hence, y = -(x + 5)² + 4 is the equation of the function in vertex form
To learn more on Quadratic equation click:
brainly.com/question/17177510
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Answer:
The answer is 5.98
Step-by-step explanation:
The only step you need to do for this is take 23.92÷4
