The temperature was - 10° Fahrenheit at 8:00 PM one day in Denver. A cold front lowered the temperature over the next hour by 3
1 answer:
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Answer:
x + 6
Step-by-step explanation:
(f ÷ g)(x)
= factorise the numerator
= ← cancel the factor (x + 3) on numerator/ denominator
= x + 6
Answer:
The volume is 1436.8 .
Step-by-step explanation:
-To find the volume of a sphere, you need the formula:
-Use the radius for the formula:
-Then, you solve:
×
×
×
-Round the answer to the nearest tenth:
So, therefore the volume is 1436.8 .
The pattern in the given series of amount in the account are in the form of
arithmetic and geometric progression.
- The function for Option 1 is;
- The function for Option 2 is;
Reasons:
The given table of values is presented as follows;
In Option 1, the amount in dollars for each year has a common difference of d = 100
The first term, a = 1,100
Therefore;
The Option 1 can be represented as an arithmetic progression , A.P. in the
form, tₙ = a + (n - 1)·d as follows;
For the Option 1, we have;
- The amount in dollars after <em>n</em> years,
For Option 2, it is possible to find;
1,331 ÷ 1,210 = 1,210 ÷ 1,100 = 1.1
Therefore;
The terms in the Option 2 have a common ratio of r = 1.1
The Option 2 is a geometric progression, G.P.
The first term in Option 2 is a = 1,100
Which gives, the nth term, tₙ = a·r⁽ⁿ ⁻ ¹⁾
Therefor;
- The function for the Option 2 is;
Learn more about arithmetic and geometric progression here: