Answer:
C
Step-by-step explanation:
3y - 5x = 15 ... A
y = 5/3 * X +15 .... slope 3/5 , y intercept 15
6y - 10x =30
(6y - 10x) /2 = 30 / 2
3y - 5x = 15 ... B
y = 5/3 * x + 15 ..... slope 3/5 , y intercept 15
∴ Answer is C
Answer:
j = 6
Step-by-step explanation:
"Is" typically means equals. "More than" means it is added to.
So 15 equals j with 9 added to it.
15 = 9 + j
Now solve for j by subtracting 9 from both sides.
15 - 9 = j
j = 6
The rate at which the water from the container is being drained is 24 inches per second.
Given radius of right circular cone 4 inches .height being 5 inches, height of water is 2 inches and rate at which surface area is falling is 2 inches per second.
Looking at the image we can use similar triangle propert to derive the relationship:
r/R=h/H
where dh/dt=2.
Thus r/5=2/5
r=2 inches
Now from r/R=h/H
we have to write with initial values of cone and differentiate:
r/5=h/5
5r=5h
differentiating with respect to t
5 dr/dt=5 dh/dt
dh/dt is given as 2
5 dr/dt=5*-2
dr/dt=-2
Volume of cone is 1/3 π
We can find the rate at which the water is to be drained by using partial differentiation on the volume equation.
Thus
dv/dt=1/3 π(2rh*dr/dt)+(
*dh/dt)
Putting the values which are given and calculated we get
dv/dt=1/3π(2*2*2*2)+(4*2)
=1/3*3.14*(16+8)
=3.14*24/3.14
=24 inches per second
Hence the rate at which the water is drained from the container is 24 inches per second.
Learn more about differentaiation at brainly.com/question/954654
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<span>A={4},
the group set has only one element in it
so n (A)=1
</span>
I hope that
helps!
Answer:
a) 90 boxes
b) 27 boxes
Step-by-step explanation:
Please see the attached picture for the full solution.