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2 years ago

7,

Mathematics

1 answer:

Anna007 [38]2 years ago

5 0

Answer:

1/12

Step-by-step explanation:

the chances of rolling a 3 is 1/6

there are 3 numbers more than 3 on a number die, 4,5, and 6

which is 3/6 or 1/2 if you decide to simplify

to find the probability you want you have to multiply the fractions by each other

1/6x1/2=1/12

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A right circular cone is undergoing a transformation in such a way that the radius of the cone is increasing at a rate of 1/2 in

Ivenika [448]

Answer:

The volume is decreasing at the rate of 1.396 cubic inches per minute

Step-by-step explanation:

Given

Shape: Cone

$\frac{dr}{dt} =\frac{1}{2}$ --- rate of the radius

$\frac{dh}{dt} =-\frac{1}{3}$ --- rate of the height

$r = 2$

$h = \frac{1}{3}$

Required

Determine the rate of change of the cone volume

The volume of a cone is:

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

Differentiate with respect to time (t)

$\frac{dV}{dt} = \frac{\pi}{3}(2rh \frac{dr}{dt} + r^2 \frac{dh}{dt})$

Substitute values for the known variables

$\frac{dV}{dt} = \frac{\pi}{3}(2*2*\frac{1}{3}* \frac{1}{2} - 2^2 *\frac{1}{3})$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}* \frac{1}{2} - \frac{4}{3})$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}(\frac{1}{2} - 1))$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}*- 1)$

$\frac{dV}{dt} = -\frac{\pi}{3}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{22}{7*3}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{22}{21}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{88}{63}$

$\frac{dV}{dt} =-1.396in^3/min$

The volume is decreasing at the rate of 1.396 cubic inches per minute

3 0

3 years ago

Bacteria X has a relative growth rate of 160 % (under ideal conditions). Some bacteria X are accidentally introduced into some e

LiRa [457]

Answer:

6866, 71995

Step-by-step explanation:

I'm going to assume it has a growth rate of 160% per hour.

Anyways, since after four hours, there were 45,000 Bacteria X in the egg salad, we can write the following function:

$B(h)=P(1.6)^h$ , where P represents the initial amount, B(h) represents the total, and h represents the number of hours that has passed. The 1.6 represents the 160% growth rate per hour.

We already know that four hours has passed when the population is 45,000, thus:

$45000=P(1.6)^4$

$P=45000/(1.6)^4$

$P\approx6866.46\approx6866$

So the initial population is around 6866.

After five hours, the number of bacteria will be:

$B(5)=6866(1.6)^5\approx71995$

6 0

4 years ago

Are all integers are rational numbers

Arlecino [84]

Yes

Step-by-step explanation:

7 0

4 years ago

1. What is 2 added to 1?<br>4<br>in

miv72 [106K]

Answer:

Step-by-step explanation:

what is the 4 in for?

7 0

3 years ago

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Lily collected 32.1 pounds of cans to recycle

GuDViN [60]

Answer:

just for points

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2 years ago