All categories

3 years ago

Ms.merlin is running 3 miles she stops 1-4 of miles for a water break how many time does she stop for a water break

1 answer:

4 0

Answer:by M Jett-Simpson · 1989 · Cited by 6 — Preschoolers will identify with Max the bunny when he has ... When Mrs. Bear's chair breaks, Mr. Bear makes her a new ... There will be many times when.

Step-by-step explanation:

You might be interested in

Which inequality represents the statement A final grade of at least 90?

alisha [4.7K]

Answer:

B. x>90

Step-by-step explanation:

please make be the part of brainly

8 0

3 years ago

The coffee to go cafe uses 5 gallons of milk per day . how many gallons do they use in 5 weeks?

Zarrin [17]

5 gallons per day
7 days in 1 week
5x7=35
there are 5 weeks
35x5=175
Your answer is 175 gallons

4 0

3 years ago

Mr.Boss says that students are more likely to choose movies over sports. Based on this data, do you agree?

Aleks04 [339]

Answer:

Step-by-step explanation

No i need more data

5 0

3 years ago

Mary says the pen for her horse is an acute right triangle is this possible

Maru [420]

No, you can't have all 3 angles in a triangle be acute

3 0

3 years ago

Cylindrical hole of radius a is bored through a sphere of radius 2a. the surface of the hole passes through the center of the sp

r-ruslan [8.4K]

The amount of material removed is the volume of the region within the sphere bounded by the cylinder. Consider a sphere of radius $2a$ centered at the origin; this sphere has equation

$x^2+y^2+z^2=4a^2\iff z^2=4a^2-x^2-y^2$

The given cylinder has equation

$x^2+y^2=a^2$

The volume of the region of interest $\mathcal D$ is given by

$\displaystyle\iiint_{\mathcal D}\mathrm dV$

Converting to cylindrical coordinates, setting

$x=r\cos\theta$

$y=r\sin\theta$

$z=\zeta$

we have

$z^2=4a^2-r^2$

and

$\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=\left|\dfrac{\partial(x,y,z)}{\partial(r,\theta,\zeta)}\right|\,\mathrm dr\,\mathrm d\theta\,\mathrm d\zeta$

$\implies\mathrm dV=r\,\mathrm dr\,\mathrm d\theta\,\mathrm d\zeta$

where $\dfrac{\partial(x,y,z)}{\partial(r,\theta,\zeta)}$ is the Jacobian of the transformation from $(x,y,z)$ to $(r,\theta,\zeta)$ . The region $\mathcal D$ is described by the set

$\left\{(r,\theta,\zeta)\,:\,0\le r\le a\land0\le\theta\le2\pi\land-\sqrt{4a^2-r^2}\le\zeta\le\sqrt{4a^2-r^2}\right\}$

The integral is then

$\displaystyle\iiint_{\mathcal D}\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=a}\int_{\zeta=-\sqrt{4a^2-r^2}}^{\zeta=\sqrt{4a^2-r^2}}r\,\mathrm d\zeta\,\mathrm dr\,\mathrm d\theta$

The integral with respect to $\zeta$ is symmetric about $\zeta=0$ , so we instead compute twice the integral from $\zeta=0$ to $\zeta=\sqrt{4a^2-r^2}$ , and we can immediately compute the integral with respect to $\theta$ :