Answer:
(a) 
(b) nth term: 
Step-by-step explanation:
Solving (a)
Given
The first 3 terms.
When n = 1
When n = 2
When n = 3
So, the first three terms are:
Solving (b)
Given
Required
The nth term
The sequence is arithmetic.
So, first calculate the common difference (d)
The nth term is then calculated as:
Where
So:
and
Collect like terms
Answer:
Sample mean = 7.1
Margin of error = 0.465
Step-by-step explanation:
Formula for confidence interval is;
CI = x¯ ± zE
Where;
x¯ is sample mean
z is critical value at confidence level
E is margin of error.
z for 99% Cl is 2.58
We are told the CI is 5.9 to 8.3.
Thus;
5.9 = x¯ - 2.58E - - - - (1)
8.3 = x¯ + 2.58E - - - - (2)
Add both equations together to get;
14.2 = 2x¯
x¯ = 14.2/2
x¯ = 7.1
Put 7.1 for x¯ in eq 1 to get;
5.9 = 7.1 - 2.58E
7.1 - 5.9 = 2.58E
E = 1.2/2.58
E = 0.465
The answer is 26 Pa.
<span>The ideal gas law can be presented as:
PV = nRT
where
P - pressure of the gas,
V - volume of the gas,
n - amount of substance of gas,
R - gas constant,
T - temperature of the gas.</span>
But, we do not need to know all of the equation members since the right side of the equation is not affected and will remain the same. It is enough the left side of the equation:
P₁V₁ = P₂V₂
It is given:
P₁ = 104 Pa
V₁ = 108 L
V₂.= 432 L
The unknown is P₂ = ?
P₁V₁ = P₂V₂.
104 Pa × 108 L = P₂ × 432 L
11,232 Pa L = P₂ × 432 L
P₂ = 11,232 Pa ÷ 432
<span>P₂ = 26 Pa</span>
<span>
</span>
<span>Therefore, the new pressure will be 26 Pa.</span>
Answer:
-11
Step-by-step explanation:
Our function is 2x-13x+5
- 2x-13x+5= -11x+5
- F(0)= 5 and F(6)= -11*6+5 = -61
- let m be the average change : m= (-61-5)/6= -11
Answer:
She will be n+10 years old.
