Answer:
120
Step-by-step explanation:
If order doesn't matter, there are 10 ways to chose the first ride, 9 ways to choose the second, and 8 ways to choose the third. This product (720) has you riding the same 3 coasters in 6 different orders. Dividing by 6 gives ...
720/6 = 120 different combinations of roller coasters
_____
This number might be written as 10C3 (choose 3 from 10). The meaning of that notation is ...
nCk = n!/(k!(n-k)!)
10C3 = 10!/(3!·7!) = 10·9·8/(3·2·1) = 120
Although they are the same variable, you cannot add two variables raised to different powers. 3x^1 + 5x^2 cannot work, but 3x^2 + 5x^2 can. Also, if you are multiplying them, they would combine to be 15x^3, as 3 and 5 (The coefficients) multiply together and x^2 times x^1 = x^3.
I hope that helps.
<span><u><em>The correct answer is: </em></u>
129,407.
<u><em>Explanation</em></u><span><u><em>: </em></u>
12 ten-thousands = 12*10000=120,000.
8 thousands = 8*1000=8000;
<u>this gives us</u> 120,000+8,000=128,000.
14 hundreds = 14*100=1400;
<u>this gives us</u> 128,000+1,400=129,400.
7 ones = 7*1=7;
<u>this gives us</u> 129,400+7=129,407.</span></span>
Answer:
f(n)=-5-3n
Step-by-step explanation:
Given the recursive formula of a sequence
f(1)=−8
f(n)=f(n−1)−3
We are to determine an explicit formula for the sequence.
f(2)=f(2-1)-3
=f(1)-3
=-8-3
f(2)=-11
f(3)=f(3-1)-3
=f(2)-3
=-11-3
f(3)=-14
We write the first few terms of the sequence.
-8, -11, -14, ...
This is an arithmetic sequence where the:
First term, a= -8
Common difference, d=-11-(-8)=-11+8
d=-3
The nth term of an arithmetic sequence is determined using the formula:
T(n)=a+(n-1)d
Substituting the derived values, we have:
T(n)=-8-3(n-1)
=-8-3n+3
T(n)=-5-3n
Therefore, the explicit formula for f(n) can be written as:
f(n)=-5-3n
Hi!
To find the range of possible values of x, we have to side 1 from side 2...
7.1 - 5.6 = 1.5
The smallest side x could be is 1.5.
Now add side 1 to side 2
7.1 + 5.6 = 12.7
The biggest side x could be is 12.7
So x could be anywhere from 1.5 to 12.7 (or, 1.5 < x < 12.7)
Hope this helps! :)
