Answer:
192
Step-by-step explanation:
The sum of the first 3 terms of the A. P is
a + a + d + a + 2d = 18, that is
3a + 3d = 18 ← substitute a = 4
12 + 3d = 18 ( subtract 12 from both sides )
3d = 6 ( divide both sides by 3 )
d = 2
Thus the first 3 terms are
4, 6, 8 and their product = 4 × 6 × 8 = 192
The volume of this prism is
V=l*w*h
rewrite the mixed number as fractions
V= 11 3/5* 9* 12 1/2=
V= 58/5 *9/1* 24/2
V=58*9*24/5*2
V=12528/10=1252 8/10 m^3
or
V=1252.80m^3
Answer:
4650 add 1500+1800+3400 u get 6700
then you get the tuition cost then subtract it by 6700
your final answer is 4650 dollar
The proportionality constant of the given graph is k = 16.
<h3>How to find the proportionality constant of a graph?</h3>
The proportionality constant of a graph is the ratio of the y-coordinates to the x-coordinates.
Thus, it is written as k = y1/x1 = x2/y2 = ... = yn/xn
<h3>Calculation:</h3>
The given graph has the coordinates as
x = 0; y = 0 i.e., (0, 0)
x = 0.5; y = 8 i.e., (0.5, 8)
x = 1; y = 16 i.e., (1, 16)
x = 1.5; y = 24 i.e., (1.5, 24)
and so on.
Then, the ratio of y - coordinate to the x - coordinate is
k = 8/0.5 = 16
or
k = 16/1 = 16
or
k = 24/1.5 = 16
and so on.
So, the proportionality constant for the given graph is k = 16.
Learn more about the proportionality constant here:
brainly.com/question/1835116
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