A daily question for the nerds :D

Mathematics

1 answer:

alexdok [17]2 years ago

6 0

Answer:

B. 8g=22+26

Step-by-step explanation:

The second choice is the answer because 22 fourth-grader students plus 26 fifth-grade students will be the number of groups with each having 8 students.

Hope this helps!

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Sanchez applied 6 fluid Ounces of an herbicide per acre on 300 acres of com. How many gallons

kumpel [21]

Answer:

Sanchez applied 1,800 fluid ounces of herbicide to his 300 acres of corn.

Step-by-step explanation:

Let's identify what we already know:

1) Sanchez has 300 acres of corn

2) For every 1 acre, Sanchez applies 6 fluid ounces of an herbicide.

So, we need to figure out how many fluid ounces Sanchez used for the entire six acres. We can create a formula for this:

300 acres x 6 fluid ounces = x

x equals total number of fluid ounces. We multiple the number of acres by the fluid ounces, to get 1,800 fluid ounces for the entire 300 acres of corn.

3 0

3 years ago

Use spherical coordinates. evaluate xyz dv e , where e lies between the spheres ρ = 4 and ρ = 6 and above the cone ϕ = π/3.

sergey [27]

Set

$x=\rho\cos\theta\sin\varphi$

$y=\rho\sin\theta\sin\varphi$

$z=\rho\cos\varphi$

so that the volume element is

$\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi$

The integral is then

$\displaystyle\iiint_Exyz\,\mathrm dV=\int_{\varphi=0}^{\varphi=\pi/3}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=4}^{\rho=6}\rho^5\cos\theta\sin\theta\sin^3\varphi\cos\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\rho$

$=\displaystyle\left(\int_0^{\pi/3}\sin^3\varphi\cos\varphi\,\mathrm d\varphi\right)\underbrace{\left(\int_0^{2\pi}\cos\theta\sin\theta\,\mathrm d\theta\right)}_0\left(\int_4^6\rho^5\,\mathrm d\rho\right)$