Question:
The nth term of a sequence is 
. Find the fifth term of the sequence
Answer:
The 5th term of the sequence is 37.5
Step-by-step explanation:
Given
Required
Find the 5th term
To find the 5th term, we simply substitute 5 for n in the above expression.
This gives
<em>Hence, the 5th term of the sequence is 37.5</em>
Answer:
k = -1
Step-by-step explanation:
-3k + 6 = 10 + k
combine similar terms:
-3k - k = 10 - 6
simplify:
-4k = 4
simplify:
k = 4 / -4
k = -1
Answer:
y = 0.5x
Step-by-step explanation:
Given that x and y vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 1, y = 0.5, then
k = 
= 
= 0.5, hence
y = 0.5x ← equation of variation
Answer:
V = 4.187r³
Step-by-step explanation:
Volume of a sphere is expressed using the formula;
V = 4/3πr³
r is the radius
Substitute π = 3.14 into the formula
V = 4/3 * 3.14r³
V = 4.187r³
Hence the volume of a sphere in terms of the radius is V = 4.187r³
Hi there!
Let's first determine the x-intercept. When dealing with an x-intercept we must realise the y-coordinates equal 0.
Add 21 to both sides.
Divide both sides by -2.
Therefore, the x-intercept is the point (10 1/2; 0).
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Now let's continue with the y-intercept, which is easier. When dealing with an y-intercept we must realise the x-coordinates equal 0.
Therefore, the y-intercept is the point (0; -21).
