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3 years ago

The drink recipe uses 6 cups of water and 2 cups of apple juice.

Mathematics

1 answer:

ladessa [460]3 years ago

6 0

Answer:

25%

Step-by-step explanation:

2/8 = 1/4 = 0.25 = 25%

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How are the two functions f(x) = 0.7(6)x and g(x) = 0.7(6)–x related to each other?

Harlamova29_29 [7]

The answer
f(x) = 0.7(6)x = f(x) = 0.7(6)^x, and g(x) = 0.7(6)–x= g(x) = 0.7(6)^-x=1/0.7(6)^x
so 
g(x) =1/0.7(6)^x=1 /f(x)

 the relationship between f and g are g(x) =1 /f(x) or g(x) . f(x) = 1

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12x5 – 10x2 + x – 45

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(a)
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(d) constant is -45

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3 years ago

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2 years ago

What does the symble for a fraction

Nuetrik [128]

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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