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4 years ago

What is the solution to 4w=2/3

2 answers:

7 0

4w = 2/3 Divide each side by 4 to get w by itself.

w = 2/3 ÷ 4 To divide fractions you multiply the reciprocal

w = 2/3 × 1/4 multiply across

w = 2/12 which reduces

w = 1/6

grigory [225]4 years ago

4 0

2/12 or 1/6. You have to divide 2/3 by 4 to get what w equals to.

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Consider the surface defined by the equation x3 + y3 + z3 = 3xyz. Use implicit differ- ∂z entiation to find ∂x. (Note z is not a

Aloiza [94]

Answer:

$\frac{∂z}{∂x}=\frac{(3yz-3x^{2})}{3z^{2} -3xy}$

Step-by-step explanation:

Given equation is $x^{3}+y^{3}+z^{3}=3xyz$ ………………(1)

we use derivative formula $\frac{d}{dx}(x^{n}) = n x^{n-1}$

$\frac{d}{dx}(x^{3)} = 3 x^{2}$

$\frac{d}{dx}(z^{3)} = 3 z^{2}$

And also apply 'u v' formula

$\frac{d}{dx}(uv}) = u\frac{d}{dx}(v)+v\frac{d}{dx}(u)$

Differentiating equation (1) partially with respective to 'x' , we treated 'y' as constant.

$(3x^{2} +0+3z^{2}\frac{∂z}{∂x}) =3y(x\frac{∂z}{∂x}+z(1))$ ( here y treated as constant so the derivative of constant function is zero in addition but in multiplication the constant is keep as like 'y').

on simplification , we get

$(3x^{2} +0+3z^{2}\frac{∂z}{∂x}) =(3yx\frac{∂z}{∂x}+3yz)$

again simplification, we get

$3z^{2}\frac{∂z}{∂x}- 3yx\frac{∂z}{∂x}=3yz-3x^{2}$

taking common ' $\frac{∂z}{∂x}$ on left on side , we get

$(3z^{2}- 3yx)\frac{∂z}{∂x}=3yz-3x^{2}$

dividing ' $(3z^{2}- 3yx)$ on both sides, we get

$\frac{∂z}{∂x}=\frac{(3yz-3x^{2})}{3z^{2} -3xy}$

Final answer:-

$\frac{∂z}{∂x}=\frac{(3yz-3x^{2})}{3z^{2} -3xy}$

6 0

3 years ago

K - 5 = 3/14 A) k = 4 1/14 B) k = 5 3/14 C) k = 5 2/9

Harman [31]

The answer to the question is B.

8 0

4 years ago

Read 2 more answers

A business owner wants to know if it will be profitable to open a new coffee shop in a nearby town.In towns where the shop has b

user100 [1]

Complete question :

A business owner wants to know if it will be profitable to open a new coffee shop in a nearby town.In towns where the shop has been successful,the shop name is recognizable to people 53% of the time .He survey random sample of 12 residents of the town. Find the probability that among these 12 surveyed residents, none of them have ever heard of the coffee shop

Answer:

0.000116

Step-by-step explanation:

Using the binomial probability relation :

Probability of success, p = 0.53

1 - p = 0.47

Number surveyed, n = 12

P(x =x) = nCx * p^x * (1 - p)^(n - x)

Probability that none has heard of the coffee shop :

P(x = 0) = 12C0 * 0.53^0 * 0.47^12

P(x = 0) = 0.000116

8 0

3 years ago

Sophia saves $30 every month to her savings account. She withdrew $120 one time to go Christmas shopping. She now has $330 in he

a_sh-v [17]

Answer:

15 months

Step-by-step explanation:

330+120=450, and 450 divided by 30 equals 15. Therefore, Sophia has saved $30 to her savings account every month for 15 months.

3 0

3 years ago

In 3,300, what is the relationship between the value of the digit 3 in each place

loris [4]

The value of the first three is three thousands and the second three will be 300 or three hundred.

3 0

3 years ago