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3 years ago

3х - 42х -74x - 27- 33

Mathematics

1 answer:

solmaris [256]3 years ago

4 0

Answer:

3x4-4=

Step-by-step explanation:

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Devon is 30 years older than his son, Milan. The sum of both their ages is 48. Using the variables d and m to represent the ages

statuscvo [17]

Answer+Step-by-step explanation:

m = man's age

s = son's age

m=s+36

(m+8)=3*(s+8)

Resolves to: s=10, m=46

So the man is 46 (=10+36).

In 8 years, son is 18 (=10+8), man is 54 (=3*18 and 46+8), thank you.

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3 years ago

Evaluate the spherical coordinate integral

expeople1 [14]

Rewrite the equations of the given boundary lines:

y = -x + 1 ==> x + y = 1

y = -x + 4 ==> x + y = 4

y = 2x + 2 ==> -2x + y = 2

y = 2x + 5 ==> -2x + y = 5

This tells us the parallelogram in the x-y plane corresponds to the rectangle in the u-v plane with 1 ≤ u ≤ 4 and 2 ≤ v ≤ 5.

Compute the Jacobian determinant for this change of coordinates:

$J=\begin{bmatrix}\frac{\partial u}{\partial x}&\frac{\partial u}{\partial y}\\\frac{\partial v}{\partial x}&\frac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}1&1\\-2&1\end{bmatrix}\implies|\det J|=3$

Rewrite the integrand:

$-3x+4y=-3\cdot\dfrac{u-v}3+4\cdot\dfrac{2u+v}3=\dfrac{5u+7v}3$

The integral is then

$\displaystyle\iint_R(-3x+4y)\,\mathrm dx\,\mathrm dy=3\iint_{R'}\frac{5u+7v}3\,\mathrm du\,\mathrm dv=\int_2^5\int_1^45u+7v\,\mathrm du\,\mathrm dv=\boxed{333}$

5 0

4 years ago

The expression <img src="https://tex.z-dn.net/?f=%28%20x%5E%7B1%2F2%7Dy%5E%7B-2%2F3%7D%29%5E-6%20%20" id="TexFormula1" title="(

forsale [732]

Y ^(-2/3)^-6 = y^12/3 = y^4

x^(1/2)^ -6 = x^-3 = 1 x^3

so the answer is y^4 * 1 /x^3 = y^4 / x^3

A

8 0

4 years ago

Find the area of the triangle ABC given angle A = 60°, b = 2, and c = √2.

Irina18 [472]

If you know 2 sides and an included angle, the area formula is:

Area = ½ • side 1 • sine (A) • side 2

Area = ½ • 2 * sine (60) * sq root (2)

Area =sine (60) * sq root (2)

The sine of 60 degrees = sq root (3) / 2

Area = sq root (6) / 2

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4 years ago

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Scott earned 20 points more on his most recent math test than he earned on the previous test. If he earned at least 80 points on

jeyben [28]

Answer:

Step-by-step explanation:

80-20=60

8 0

3 years ago

Read 2 more answers

3х - 42х -74x - 27- 33​

3х - 42х -74x - 27- 33