Answer:
≈ 3927 litres
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = Ah ( A is the area of the base and h the height )
Note that h of oil = 250 ÷ 2 = 125 cm ( since half full )
V = πr²h
= π × 100² × 125 = 1250000π cm³ ( divide by 1000 )
= 
= 1250π litres ≈ 3927 litres ( to the nearest litre )
Answer:
The slope is 2 and the y-intercept is -6
Step-by-step explanation:
we know that
The equation of the line in slope intercept form is equal to
where
m is unit rate or the slope of the linear equation
b is the y-intercept or initial value (value of y when the value of x is equal to zero)
In this problem we have
therefore
the slope is equal to
and
<u><em>Verify</em></u>
For x=0
---> is ok
Answer:
Step-by-step explanation:
Given the function
y = (9x⁴ — 4x² + 6)⁴
We need to find the derivative of y with respect to x i.e. dy/dx.
So let u = 9x⁴—4x² + 6
Then y = u²,
Then, y is a function of u, y=f(u)
Also, u is a function of x, u = g(x)
In this case,
u = g(x) = 9x⁴—4x² + 6
So let differentiate this function y(x).
This is a function of a function
Then, we need to find u'(x)
u (x) = 9x⁴—4x² + 6
Then, u'(x) = 36x³ — 8x
Also we need to find y'(u)
Then, y = u²
y'(u) = 2u
Using function of a function formula
dy / dx = dy/du × du/dx
y'(x) = y'(u) × u'(x)
y'(x) = 2u × 36x³ — 8x
y'(x) = 2u(36x³ — 8x)
Since, u = 9x⁴—4x² + 6
Therefore,
y'(t) = 2(9x⁴—4x² + 6)(36x³ — 8x)
So,
dy/dx = 2(9x⁴—4x² + 6)(36x³ — 8x)
dy/dx = (18x⁴—8x² + 12)(36x³ — 8x)
(23 centimeters) x (10 millimeters/1 centimeter) = <em>230 millimeters</em>
A:b = 4:5
b:c=3:2
b was 5 then it was 3, so you have to find the common multiple which is 15.
you’d have to times the 4 (a) by 3 since that 5x3 is 15
you’d have to times the 2 (c) by 5 since 5x3 is 15 again.
therefore the answer would be
a:b:c
12:15:10
I hope this makes sense it was kinda hard to explain sorry :)
