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3 years ago

Item 3

Mathematics

2 answers:

serg [7]3 years ago

7 0

1 hour , 1 minute, 1 second

soldi70 [24.7K]3 years ago

4 0

1 Hour is longest then 1 minute then 1 second is shortest

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N the recursive formula f(n) = f(n - 1) + 5, the value of the previous term is represented by

eimsori [14]

F(n-1) = f(n) - 5, based off of the first one

3 0

3 years ago

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

PLEASE THIS IS MY LAST TRY PLEASE

FrozenT [24]

Hope this helps :) good luck!!!

5 0

3 years ago

Read 2 more answers

Multiply these binomials using foil method (b+3)(b-9)

sleet_krkn [62]

FOIL stands for first, outer, inner, and last.
So, you multiply the first terms together, the outer terms together, the inner terms together, and then the last terms together.
(b+3)(b-9)
b^2-9b+3b-27 Then simplify
b^2-6b-27

3 0

3 years ago

Help me pls idk how math works

Sav [38]

Answer:

Solve like an equation, you gotta subtract both sides since u are adding so 10-v=10 v+10 v=10

Step-by-step explanation:

5 0

3 years ago