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2 years ago

There's 18 deer and 52 lions if 10 lions eat 17 deer how many deer are left

Mathematics

2 answers:

Usimov [2.4K]2 years ago

8 0

1 deer bc 18-17 is 1

Mamont248 [21]2 years ago

7 0

Answer:

1 deer

Step-by-step explanation:

18 deer minus 17 eaten leaves 1 deer

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The radius of a cone is increasing at a constant rate of 7 meters per minute, and the volume is decreasing at a rate of 236 cubi

storchak [24]

Answer:

The rate of change of the height is 0.021 meters per minute

Step-by-step explanation:

From the formula

$V = \frac{1}{3}\pi r^{2}h$

Differentiate the equation with respect to time t, such that

$\frac{d}{dt} (V) = \frac{d}{dt} (\frac{1}{3}\pi r^{2}h)$

$\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (r^{2}h)$

To differentiate the product,

Let r² = u, so that

$\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (uh)$

Then, using product rule

$\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h\frac{du}{dt}]$

Since $u = r^{2}$

Then, $\frac{du}{dr} = 2r$

Using the Chain's rule

$\frac{du}{dt} = \frac{du}{dr} \times \frac{dr}{dt}$

∴ $\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h(\frac{du}{dr} \times \frac{dr}{dt})]$

Then,

$\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}]$

Now,

From the question

$\frac{dr}{dt} = 7 m/min$

$\frac{dV}{dt} = 236 m^{3}/min$

At the instant when $r = 99 m$

and $V = 180 m^{3}$

We will determine the value of h, using

$V = \frac{1}{3}\pi r^{2}h$

$180 = \frac{1}{3}\pi (99)^{2}h$

$180 \times 3 = 9801\pi h$

$h =\frac{540}{9801\pi }$

$h =\frac{20}{363\pi }$

Now, Putting the parameters into the equation

$\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}]$

$236 = \frac{1}{3}\pi [(99)^{2} \frac{dh}{dt} + (\frac{20}{363\pi }) (2(99)) (7)]$

$236 \times 3 = \pi [9801 \frac{dh}{dt} + (\frac{20}{363\pi }) 1386]$

$708 = 9801\pi \frac{dh}{dt} + \frac{27720}{363}$

$708 = 30790.75 \frac{dh}{dt} + 76.36$

$708 - 76.36 = 30790.75\frac{dh}{dt}$

$631.64 = 30790.75\frac{dh}{dt}$

$\frac{dh}{dt}= \frac{631.64}{30790.75}$

$\frac{dh}{dt} = 0.021 m/min$

Hence, the rate of change of the height is 0.021 meters per minute.

3 0

3 years ago

Ryan has nine 14 ounce bags of popcorn to repackage and sell at the school fair. a small bag holds 3 ounces. how many small bags

Mice21 [21]

14 divided by 3 you would get 4 2/3 but since all the bags have to have the same amount it should be 4

Hope this helps!

3 0

3 years ago

I’m really bad at the nth term, can anyone help me figure out the nth term of this sequence: 7,10,13,16,19 ...

Debora [2.8K]

Answer:

so the answer is 31

Step-by-step explanation:

well first you have to see how much it increases each time

_____________________________________________

so that would be three

_____________________________________________

7_10_13_16_19_22_25_28_31

1 2 3 4 5 6 7 8 9

6 0

3 years ago

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Help Me Please! I will give you 5 stars if your answer is correct!

lys-0071 [83]

Answer:

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3 years ago

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Ruth wants to purchase a new video game that costs $59.00 and several bags of chips that sell for $1.99 each. She can spend no m

allsm [11]

Answer:

1.99c + 59 ≥ 75, where c ≥ 8.04

Step-by-step explanation:

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3 years ago