Compute the differential for both sides:
4<em>y</em> - 3<em>xy</em> + 8<em>x</em> = 0
→ 4 d<em>y</em> - 3 (<em>y</em> d<em>x</em> + <em>x</em> d<em>y</em>) + 8 d<em>x</em> = 0
Solve for d<em>y</em> :
4 d<em>y</em> - 3<em>y</em> d<em>x</em> - 3<em>x</em> d<em>y</em> + 8 d<em>x</em> = 0
(4 - 3<em>x</em>) d<em>y</em> + (8 - 3<em>y</em>) d<em>x</em> = 0
When <em>x</em> = 0, we have
4<em>y</em> - 3•0<em>y</em> + 8•0 = 0 → 4<em>y</em> = 0 → <em>y</em> = 0
and with d<em>x</em> = 0.05, we get
(4 - 3•0) d<em>y</em> + (8 - 3•0) • 0.05 = 0
→ 4 d<em>y</em> + 0.4 = 0
→ 4 d<em>y</em> = -0.4
→ d<em>y</em> = -0.1
Hi there! The answer is 80 green apples.
In a bag of apples, the ratio of red apples to green apples is 3:4, so we must first realise that there is a total of 7 parts.
3 of these parts constist if red apples. In other terms 3 / 7 equals 60. Now divide by 3 to find 1 / 7. Hence, 1 / 7 equals 60 / 3 = 20 apples.
4 of the total 7 parts consist of green apples, so we must multiply the preceding outcome by 4 to find our answer. 4 / 7 equals 20 × 4 = 80 apples.
Therefore, there are 80 green apples in the bag.
~ Hope this helps you!
Answer:
646.0 cm^3
Step-by-step explanation:
The volume of this cube with side length 8 cm is (8 cm)^3, or 512 cm^3.
The volume of the hemisphere (half sphere) is
V = (1/2)(4/3)(pi)(4 cm)^3 (since half of the diameter, 8 cm,
V = (2/3)(3.14)(64 cm^3), or is the radius)
V = 133.86 cm^3, or approximately 133.9 cm^3.
The volume of the entire solid is (512 + 133.9) cm^3, or 646.0 cm^3
Answer:
A =5
Step-by-step explanation:
From the Pythagorean theorem
$2.59 would be the correct rounding because you look at the 8 and the number next to it is 9 so the 8 goes up to nine since it’s larger than 5
