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3 years ago

Find the common ratio of 72,12, and 2

Mathematics

2 answers:

Andreyy893 years ago

8 0

Answer:

72:12:2 can be simplified to 36:6:1

Step-by-step explanation:

its like fractions

8_murik_8 [283]3 years ago

5 0

Answer:6

Step-by-step explanation:

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Nataly [62]

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3 years ago

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jeka57 [31]

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Air is being pumped into a spherical balloon at a rate of 5 cm^3/min. Determine the rate at which the radius of the balloon is i

Romashka-Z-Leto [24]

0.08 cm/min

Step-by-step explanation:

Given:

$\dfrac{dV}{dt}=5\:\text{cm}^3\text{/min}$

Find $\frac{dr}{dt}$ when diameter D = 20 cm.

We know that the volume of a sphere is given by

$V = \dfrac{4\pi}{3}r^3$

Taking the time derivative of V, we get

$\dfrac{dV}{dt} = 4\pi r^2\dfrac{dr}{dt} = 4\pi\left(\dfrac{D}{2}\right)^2\dfrac{dr}{dt} = \pi D^2\dfrac{dr}{dt}$

Solving for $\frac{dr}{dt}$ , we get

$\dfrac{dr}{dt} = \left(\dfrac{1}{\pi D^2}\right)\dfrac{dV}{dt} = \dfrac{1}{\pi(20\:\text{cm}^2)}(5\:\text{cm}^3\text{/min})$

$\:\:\:\:\:\:\:= 0.08\:\text{cm/min}$

3 0

3 years ago

Which of the following is one solution to the expression (ax + b)(cx - d) = 0 ?

V125BC [204]

We know that
if (ax + b)(cx - d) = 0
then
(ax + b)= 0-----> ax=-b------> x=-b/a
and
(cx - d) = 0-----> cx=d------> x=d/c

therefore

the answer is the option
C. -\frac{b}{a}

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3 years ago

Interpret the meaning of 10 (55x) + 500

Sati [7]

Answer:

Using the formula, write in standard form. 10,55x+500

Step-by-step explanation:

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3 years ago