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3 years ago

Complete the statement to describe the expression abc + def.

Mathematics

1 answer:

Aliun [14]3 years ago

5 0

Answer:

1) Two terms

2) Three factors

Step-by-step explanation:

We are given the following expression:

abc + def

We have to compete the given statement with the help of given expression.

The given expression consist of two terms, abc and def.
Each term contain 3 factors:

abc - 3 factors: a, b and c

def - 3 factors: d, e and f

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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

Need help plzz I am struggling

otez555 [7]

The equation you need to find x is,

$12x^{\circ}+30^{\circ}=90$ .

Then solving for x gives you $x=5$ .

Hope this helps.

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3 years ago

What is 3/9 and 123/999 as a decimal

Nutka1998 [239]

To convert fractions to decimals, divide the denominator into the numerator

3/9= .333333
123/999=.123123

hope this helps

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3 years ago

4/r = 5/7 need help please

Annette [7]

The answer to the question is

5r= 28

r= 28/5

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3 years ago