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serious [3.7K]
3 years ago
8

If you have 24 dozen Shamrock cookies horseshoe cookies mint cupcakes and you sold four times as many cupcakes as cookies and th

ree times as many cookies as Shamrock cookies how many mint chocolate chip cupcakes did they sell
Mathematics
1 answer:
Elden [556K]3 years ago
3 0

Answer:

144

Step-by-step explanation:

108 plus 36 then you will get 144

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Compute the integral Z Z Z U y dV , where U is the part of the ball of radius 2, centered at (0, 0, 0), that lies in the 1st oct
irga5000 [103]

As the hint suggests, convert to spherical coordinates using

x = p cos(u) sin(v)

y = p sin(u) sin(v)

z = p cos(v)

dV = dx dy dz = p² sin(v) dp du dv

Then U is the set

U = \left\{ (p,u,v) \mid 0\le p\le2 \text{ and } 0\le u\le \dfrac{\pi}2 \text{ and } 0\le v\le\dfrac{\pi}2\right\}

and the integral of y over U is

\displaystyle \iiint_U y \, dV = \iiint_U p\sin(u)\sin(v) \cdot p^2 \sin(v) \, dV

\displaystyle \iiint_U y \, dV =  \int_0^{\frac\pi2} \int_0^{\frac\pi2} \int_0^2 p^3 \sin(u) \sin^2(v) \, dp \, du \, dv

\displaystyle \iiint_U y \, dV = \frac{2^4-0^4}4 \int_0^{\frac\pi2} \int_0^{\frac\pi2} \sin(u) \sin^2(v) \, du \, dv

\displaystyle \iiint_U y \, dV =  4 \cdot \left(-\cos\left(\frac\pi2\right) + \cos(0)\right) \int_0^{\frac\pi2} \sin^2(v) \, dv

\displaystyle \iiint_U y \, dV =  4 \cdot \frac12 \int_0^{\frac\pi2} (1-\cos(2v)) \, dv

\displaystyle \iiint_U y \, dV =  2 \left(\left(\frac\pi2 - \frac12 \sin\left(2\cdot\frac\pi2\right)\right) - \left(0 - \frac12 \sin\left(2\cdot0\right)\right) \right)

\displaystyle \iiint_U y \, dV =  \pi - \sin(\pi) = \boxed{\pi}

3 0
3 years ago
Describe how the graph is related to y=x^2
Otrada [13]

I think the answer is b

but I'm not really sure

I hope this helps you out

5 0
3 years ago
Find the domain of goh. g(x) = -x h(x) = 2x²+2x+3
Sedbober [7]

Answer:

not sure

Step-by-step explanation:

6 0
3 years ago
Five hundred plus five hundred fifty
JulsSmile [24]

Answer:

1,050

Step-by-step explanation:

500

+

550

=

1,050 You add the numbers getting your total

4 0
3 years ago
Someone plz help me i'm so confused<br> (click on picture)
Olin [163]

Answer:

the equation to finding slope is this:

y2-y1 / x2-x1

Where y2 is the y value of the second point, y1 is the y value of the first point, x2 is the value of the second x value, and x1 is the x value of the first point.

5-0 / -2-2

5/-4

-5/4 is the slope

Step-by-step explanation:

8 0
3 years ago
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