For the problem, we are asked t o calculate the volume of the cylindrical vase and it will represent the amount of water that Mary should pour. For a cylinder, the volume is calculated as follows:
V = πr²l
V = π(3)²(8)
<span>V = 226.19 in³ water needed</span>
Answer:
(b) √5
Step-by-step explanation:
The square root of an integer is rational if the integer is a perfect square. You probably know the first few perfect square integers are 1, 4, 9, 16, 25, 36, ...
The integer 5 is not on that list, so its square root will be irrational.
√5 is irrational
<span>you just have to multiply the bases.
3 x 9 = ?
add the exponents of the base 10
10^8(10^7)= 10^(8+7)</span>
Answer:
208
Step-by-step explanation:
Given that;
Given that;
y= a(1 - b)^t
Where;
wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.
To obtain the constant b,
y= ae^-bt
Substituting values;
1000 = 3000 e^-b(50)
1000/3000 = e^b(50)
0.33 = e^b-(50)
ln (0.33) = ln(e^b(-50))
-1.1 = -50b
b= 1.1/50
b= 0.022
After two hours or 120 minutes;
y= 3000(1 - 0.022)^120
y= 207.8661772
y= 208
Answer:
f(n)=f(n-1)+f(n-2)
f(1)=1x
f(2)=1x
Step-by-step explanation:
This is the fibonacci sequence with each term times x.
Notice, you are adding the previous two terms to get the third term per consecutive triples of the sequence.
That is:
1x+1x=2x
1x+2x=3x
2x+3x=5x
3x+5x=8x
So since we need the two terms before the third per each consecutive triple in the sequence, our recursive definition must include two terms of the sequence. People normally go with the first two.
f(1)=1x since first term of f is 1x
f(2)=1x since second term of f is 1x
Yes, I'm naming the sequence f.
So I said a third term in a consecutive triple of the sequence is equal to the sum of it's two prior terms. Example, f(3)=f(2)+f(1) and f(4)=f(3)+f(2) and so on...
Note, the term before the nth term is the (n-1)th term and the term before the (n-1)th term is the (n-2)th term. Just like before the 15th term you have the (15-1)th term and before that one you have the (15-2)th term. That example simplified means before the 15th term you have the 14th and then the 13th.
So in general f(n)=f(n-1)+f(n-2).
So the full recursive definition is:
f(n)=f(n-1)+f(n-2)
f(1)=1x
f(2)=1x
