All categories

3 years ago

Use logarithms to solve the equation for t. 1/5 e^(-2 t) = 0.9

Mathematics

1 answer:

blondinia [14]3 years ago

3 0

Answer:

$t = - \frac{ln(4.5)}{2}$

You might be interested in

How did you get -1? In the problem xm=x+z ,for x

lys-0071 [83]

Remember, we can do anything to an equation as long as you do it to both sides

and distributive proeprty, reversed
ab+ac=a(b+c)

xm=x+z
minus x from both sides
xm-x=z
xm-1x
undistribute x
x(m-1)=z
divide both sides by (m-1)
$x=\frac{z}{m-1}$

3 0

3 years ago

5x-4=3x-6<br> Solve equation.<br> PLEASE HELP ASAP

n200080 [17]

Answer:

$5x - 4 = 3x - 6 \\ 5x - 3x = 4 - 6 \\ 2x = - 2 \\ \frac{2x}{2} = \frac{ - 2}{2} \\ x = - 1$

7 0

3 years ago

An archeologist discovered two artifacts buried beneath the ground. She found the first artifact at an elevation of -8:2/7 meter

8090 [49]

Answer:

Option D is the correct choice.

Step-by-step explanation:

We are provided angle of elevations of two artifacts buried beneath the ground and we are asked to find distance between these two elevations.

We will find distance between these elevations by taking the difference of two.

$35:\frac{4}{7}--8:\frac{2}{7}$

$35:\frac{4}{7}+8:\frac{2}{7}=43:\frac{6}{7}$

Since we know that distance is always positive so option A is incorrect.

Therefore, option D is the correct choice and distance between these two elevations is $43:\frac{6}{7}$ .

5 0

3 years ago

Read 2 more answers

This famous clock tower has a clock face with a diameter of 23 feet. What is the approximate area of this clock face

pashok25 [27]

Answer:

Therefore the approximate area of this clock face is 415.3 feet².

Step-by-step explanation:

Given:

Clock is of Circular Shape,

Diameter = 23 feet

$Radius =r =\dfrac{diameter}{2}=\dfrac{23}{2}=11.5\ feet$

To Find :

Area of Clock Face = ?

Solution:

Area of Circle having Radius 'r' is given as,

$\textrm{Area of Circle}=\pi r^{2}$

Substituting the values we get

$\textrm{Area of Clock Face}=3.14\times (11.5)^{2}=415.265=415.3\ feet^{2}$

Therefore the approximate area of this clock face is 415.3 feet².

7 0

3 years ago

What is "shift y= 5x 3 units up"

lesya [120]

It's asking you to shift the graph of; y = 5x up 3 units. if you add 3 to the equation, all y-values will be increased by 3 this shifts the graph up exactly 3 units.

y = 5x + 3

8 0

3 years ago

Read 2 more answers