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Black_prince [1.1K]
2 years ago
9

What is the Density

Mathematics
1 answer:
DENIUS [597]2 years ago
3 0

<em>Answer:</em>

for question 4 the asnwer is 1.7

for question 6 the answer is 2

<em>Explanation: </em>

The volume of 4 is 18  length × width × height  so   3 × 3 × 2 = 18

The mass 32kg divided by the volume 18 = 1.777777778

-----------------------------------------------------------------------------------------------

The volume of 6 is 90  length × width × height  so  10 × 3 × 3 = 90

The mass 180kg divided by the volume 90 = 2

-----------------------------------------------------------------------------------------------

<em>Hope it helps, if you have any question comment down!</em>

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A.
(0,00
(2.6,7.9)
(4.8,12.4)
(9.7,15.1)

b.
well, the points don't look like they are on the line but they actually are (plot twist)


so
since (0,0) is on th egarph

0=a(0)²+b(0)+c
0=c
so
f(x)=ax²+bx+0 or
f(x)=ax²+bx

find a and b
sub points

(2.6,7.9)
7.9=a(2.6)²+b(2.6)
7.9=6.76a+2.6b

(4.8,12.4)
12.4=a(4.8)²+b(4.8)
12.4=23.04a+4.8b

use those 2 equations
7.9=6.76a+2.6b
12.4=23.04a+4.8b

eliminate b
multiply first equation by -4.8 and 2nd by 2.6 and add them
-37.92=-32.448a-12.48b
32.24=59.904a-12.48b +
-5.68=27.456a+0b

-5.68=27.456a
divide both sides by 27.456
(-5.68/27.456)=a
find b

12.4=23.04a+4.8b
12.4=(-130.8672/27.456)+4.8b
12.4+(130.8672/27.456)=4.8b
(12.4+(130.8672/27.456))/4.8=b

da equation is
y= \frac{-5.68}{27.456} x^2+ \frac{12.4+\frac{130.8672}{27.456}}{4.8}x



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so very close to the target but not exactly on it
if the target has a radius of 0.287323943662 or more then it will hit the target
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