Answer:
1
Step-by-step explanation:
In mathematics, number sequencing of the same pattern are called progression. There are three types of progression: arithmetic, harmonic and geometric. The pattern in arithmetic is called common difference, while the pattern in geometric is called common ratio. Harmonic progression is just the reciprocal of the arithmetic sequence.
The common ratio is denoted as r. For values of r<1, the sum of the infinite series is equal to
S∞ = A₁/(1-r), where A1 is the first term of the sequence. Substituting A₁=65 and r=1/6:
S∞ = A₁/(1-r) = 65/(1-1/6)
S∞ = 78
Answer:
76
Step-by-step explanation:
1. Replace n with 10. The equation will look like:
-5+9(10-1)
2. Remember PEMDAS! The first step in solving the equation is solving whatever is in the parenthesis:
-5+9(9)
3. The next step is exponents, but since there aren't exponents in the equation, we move to multiplication and division. The equation should now look like this:
-5+81
4. Now we move on to addition and subtraction; add the two numbers!
-5+81=76
There's your answer!! Hope this helped :)
Answer:
<h2>Area Semicircle = 1/2 πr² </h2>
where
r radius of semicircle
→ ½ * 22/7 * r² = 35
→ 11/7 * r² = 35
→ r² = 35*7/11
→ r² = 245/11
→ r² = 22.77
→ r = √22.77
→ r = 4.77
Therefore,
Diameter = 2*4.77
= 9.54 cm
Answer:
Chris will take 0.75 seconds to return to his starting height of 10 feet.
Step-by-step explanation:
Let the height of Chris be represented by 
, where 
is the height in feet and 
, the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:
Then, we simplify the expression by algebraic means:
Roots of the polynomial are, respectively:
First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.
