Please answer this or i will fail

Mathematics

1 answer:

andreev551 [17]3 years ago

5 0

Answer:

See photo

I hope this helps!

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Jamal made gallon of lemonade. He plans to pour servings of gallon and wants to

stira [4]

Answer:

d and a

Step-by-step explanation:

5 0

3 years ago

Find the volume V obtained by rotating the region bounded by the curves about the given axis.

BartSMP [9]

Using the disk method, the volume is given by the integral

$\displaystyle \pi \int_{\pi/2}^\pi (9\sin(x))^2\,\mathrm dx = 81\pi \int_{\pi/2}^\pi \sin^2(x)\,\mathrm dx$

That is, each disk has a radius of <em>y</em> = 9 sin(<em>x</em>) and hence area = <em>π</em> (9 sin(<em>x</em>))². Add up infinitely many such disks by integrating. Then the volume is

$\displaystyle 81\pi \int_{\pi/2}^\pi \sin^2(x)\,\mathrm dx = \frac{81\pi}2 \int_{\pi/2}^\pi (1-\cos(2x))\,\mathrm dx \\\\ =\frac{81\pi}2 \left(x-\frac{\sin(2x)}2\right)\bigg|_{\pi/2}^\pi \\\\ = \frac{81\pi}2 \left( \left(\pi-\frac{\sin(2\pi)}2\right) - \left(\frac\pi2 - \frac{\sin(\pi)}2\right) \right) \\\\ = \boxed{\frac{81\pi^2}4}$

8 0

3 years ago

Liliana used 444 dark power crystals to raise 141414 zombie soldiers. She wants to know how many zombie soldiers (z)(z)left pare

Mariulka [41]

Question is bit incorrect, Correct question is given below.

Liliana used 4 dark power crystals to raise 14 zombie soldiers. She wants to know how many zombie soldiers (z) she can raise with 10 dark power crystals. How many zombie soldiers can Liliana raise with 10 power crystals?

Answer:

Liliana can raise 35 zombie soldiers.

Step-by-step explanation:

Let the number of zombie soldiers raised by 10 dark power crystals be 'z'.

Zombie raised by 4 power crystals = 14

Since the number of zombie and power crystals are in direct proportion.

Therefore, we get

$\frac{z}{10}=\frac{14}{4}$