The radius is half the diameter. So the diameter is 14.
8+5=
8+2+3
10+(-2)
I don't really get it though
Answer:
raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. (given)
thus, rate of draining of water gallons per minute = -1.5
amount of water remaining in the bathtub = y,
the function of the time in minutes that it has been draining = x, .
at 0 minutes the amount of water is 40 gallons.
thus,the volume of water is 40 is decreasing at the rate of 1.5 gallons per minute
the given function is a linear function
y = 0
however, the volume of water can be 0 but cannot ever be negative.
thus, the range of y will be all real numbers such that 0≤y≤40
Step-by-step explanation:
For a geometric sequence
<em>a</em>, <em>ar</em>, <em>ar</em> ², <em>ar</em> ³, …
the <em>n</em>-th term in the sequence is <em>ar</em> <em>ⁿ</em> ⁻ ¹.
The first sequence is
1, 3, 9, 27, …
so it's clear that <em>a</em> = 1 and <em>r</em> = 3, and so the <em>n</em>-th term is 3<em>ⁿ</em> ⁻ ¹.
The second sequence is
400, 200, 100, 50, …
so of course <em>a</em> = 400, and you can easily solve for <em>r</em> :
200 = 400<em>r</em> ==> <em>r</em> = 200/400 = 1/2
Then the <em>n</em>-th term is 400 (1/2)<em>ⁿ</em> ⁻ ¹.
Similarly, the other sequences are given by
3rd: … 4 × 2<em>ⁿ</em> ⁻ ¹
4th: … 400 (1/4)<em>ⁿ</em> ⁻ ¹
5th: … 5<em>ⁿ</em> ⁻ ¹
6th: … 1000 (1/2)<em>ⁿ</em> ⁻ ¹
7th: … 2 × 5<em>ⁿ</em> ⁻ ¹