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2 years ago

I'm painting my house lavender. I'm going to use a mix

Mathematics

1 answer:

DanielleElmas [232]2 years ago

8 0

Let $W=4x, B=3x, R=2x$ .

The ratio

$4x+3x+2x=189 \\ 9x=189 \\ x=21\implies W=84,B=63,R=42$

Hope this helps.

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Let C = C1 + C2 where C1 is the quarter circle x^2+y^2=4, z=0,from (0,2,0) to (2,0,0), and where C2 is the line segment from (2,

trapecia [35]

Not much can be done without knowing what $\mathbf F(x,y,z)$ is, but at the least we can set up the integral.

First parameterize the pieces of the contour:

$C_1:\mathbf r_1(t_1)=(2\sin t_1,2\cos t_1,0)$
$C_2:\mathbf r_2(t_2)=(1-t_2)(2,0,0)+t_2(3,3,3)=(2+t_2, 3t_2, 3t_2)$

where $0\le t_1\le\dfrac\pi2$ and $0\le t_2\le1$ . You have

$\mathrm d\mathbf r_1=(2\cos t_1,-2\sin t_1,0)\,\mathrm dt_1$
$\mathrm d\mathbf r_2=(1,3,3)\,\mathrm dt_2$

and so the work is given by the integral

$\displaystyle\int_C\mathbf F(x,y,z)\cdot\mathrm d\mathbf r$
$=\displaystyle\int_0^{\pi/2}\mathbf F(2\sin t_1,2\cos t_1,0)\cdot(2\cos t_1,-2\sin t_1,0)\,\mathrm dt_1$
${}\displaystyle\,\,\,\,\,\,\,\,+\int_0^1\mathbf F(2+t_2,3t_2,3t_2)\cdot(1,3,3)\,\mathrm dt_2$

5 0

2 years ago

Max wants to make a cute collar and tie fir hus dog. He needs ti cut a 38in fabric into two pieces. The lo ger piece must be 5in

KATRIN_1 [288]

Longer-24 in
Shorter-19in

6 0

2 years ago

3 (x+2)+9<6(x-3) solve the inequality and write the solution using interval notation

Darya [45]

Answer:

(11, ∞).

Step-by-step explanation:

3 (x+2)+9<6(x-3)

3x + 6 + 9 < 6x - 18

-3x < -18 - 6 - 9

-3x < -33

x > 11 (Note the inequality flips as we are dividing by a negative value).

6 0

2 years ago

I need help -6x > 30

Debora [2.8K]

Answer:

×< -5

Step-by-step explanation:

-6x>30 reverse the sign

x< -5

7 0

2 years ago

Write an equation for the line that is parallel to y = −2x and passes through the point (0,7).

lesya [120]

Answer:

B. $\displaystyle y = -2x + 7$

Step-by-step explanation:

The y-intercept is given to us, which is $\displaystyle [0, 7],$ and Parallel Lines have SIMILAR RATE OF CHANGES [SLOPES], so −2 remains the way it is.

I am joyous to assist you anytime.

8 0

2 years ago