X/2 = -4 multiplication and division inequalities

Mathematics

1 answer:

kramer2 years ago

4 0

Answer:

x - -8 :)))

hope that helps

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Help i need the answer idk what or how to do this

natta225 [31]

14^(7x) = 17^(-8-x)

Take the log of both sides:

7x*log 14 = -(8+x)*log 17, or 7x^log 14 = -8*log 17 - x*log 17.

Grouping the x terms, we get x(7*log 14 + log 17)= -8*log 17

Then:
-8*log 17
x= -------------------------- (answer)
7*log 14 + log 17

6 0

2 years ago

The radius of the base of a cylinder is decreasing at a rate of 121212 kilometers per second. The height of the cylinder is fixe

WARRIOR [948]

Answer:

7536 $km^3/sec$

Step-by-step explanation:

Given that:

Rate of decreasing of radius = 12 km/sec

Height of cylinder is fixed at = 2.5 km

Radius of cylinder = 40 km

To find:

The rate of change of Volume of the cylinder?

Solution:

First of all, let us have a look at the formula for volume of a cylinder.

$Volume = \pi r^2h$

Where $r$ is the radius and

$h$ is the height of cylinder.

As per question statement:

$r$ = 40 km (variable)

$h$ = 2.5 (constant)

$\dfrac{dV}{dt} = \dfrac{d}{dt}\pi r^2h$

As $\pi, h$ are constant:

$\dfrac{dV}{dt} = \pi h\dfrac{d}{dt} r^2\\\Rightarrow \dfrac{dV}{dt} = \pi h\times 2 r\dfrac{dr}{dt} \\$Putting the values:$\\\Rigghtarrow\dfrac{dV}{dt} = 3.14 \times 2.5\times 2 \times 40\times 12 \\\Rigghtarrow\dfrac{dV}{dt} = 7536\ km^3/sec$