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Ulleksa [173]
3 years ago
9

How do you find the derivative of y=log(x)y=log(x) ?

Mathematics
1 answer:
S_A_V [24]3 years ago
5 0
y=\log x\\
y'=\frac{1}{x \ln 10}\\\\
(\log_a x)'=\frac{1}{x \ln a}
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A scientist has 100 milligrams of a radioactive element. The amount of radioactive element remaining after t days can be determi
grandymaker [24]
The mass of the first shipment at time t is
m_{1}=100( \frac{1}{2} )^{ \frac{t}{10}}

The mass of the second shipment at time t is
m_{2}=100( \frac{1}{2} )^{ \frac{t-3}{10} }

At time t, the ratio of m₁ to m₂ is
\frac{m_{1}}{m_{2}} = \frac{100}{100}. \frac{(1/2)^{t/10}}{(1/2)^{(t-3)/10}} \\ =  \frac{(1/2)^{t/10}}{(1/2)^{t/10}}. \frac{1}{(1/2)^{-3/10}} \\ = (1/2)^{3/10} \\ = 0.8123

Therefore as a percentage,
\frac{m_{1}}{m_{2}} =100*0.8123 = 81.23 \%

Answer: B. 81.2%

4 0
3 years ago
Plz help me asap plz i will mark you as brainlist
Masteriza [31]

Answer:

$420

Step-by-step explanation:

130x12=1560

165x12=1980

1980-1560=420

4 0
3 years ago
Read 2 more answers
Hi, teacher I was absent these days and I didn’t understand anything about this lesson and I need help this is not count as a te
motikmotik

Given:

There are given that the cos function:

cos210^{\circ}=-\frac{\sqrt{3}}{2}

Explanation:

To find the value, first, we need to use the half-angle formula:

So,

From the half-angle formula:

cos(\frac{\theta}{2})=\pm\sqrt{\frac{1+cos\theta}{2}}

Then,

Since 105 degrees is the 2nd quadrant so cosine is negative

Then,

By the formula:

\begin{gathered} cos(105^{\circ})=cos(\frac{210^{\circ}}{2}) \\ =-\sqrt{\frac{1+cos(210)}{2}} \end{gathered}

Then,

Put the value of cos210 degrees into the above function:

So,

\begin{gathered} cos(105^{\circ})=-\sqrt{\frac{1+cos(210)}{2}} \\ cos(105^{\operatorname{\circ}})=-\sqrt{\frac{1-\frac{\sqrt{3}}{2}}{2}} \\ cos(105^{\circ})=-\sqrt{\frac{2-\sqrt{3}}{4}} \\ cos(105^{\circ})=-\frac{\sqrt{2-\sqrt{3}}}{2} \end{gathered}

Final answer:

Hence, the value of the cos(105) is shown below:

cos(105^{\operatorname{\circ}})=-\frac{\sqrt{2-\sqrt{3}}}{2}

4 0
1 year ago
The correct answer is 1in= 5ft my teacher went over it.
dangina [55]
Ummmmm yes good job
8 0
2 years ago
Please help !!!!!!!!!!!!!​
arlik [135]

Answer:

Step-by-step explanation:

7 0
3 years ago
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