Step-by-step explanation:
We need to find an expression for
.
We can solve it as follows.
We know that,

So,

or

Hence, this is the required solution.
m < 6 = m < 2 because they are corresponding angles
So m < 6 = 113 degrees answer
Answer:
look at the horizontal line in the picture. the degree measure of any line is 180° given there's a perpendicular ray through that horizontal line it's therfore split into two sides both with angle measure of 90°.
given f is 71° then g can be found knowing that both g and f must add to 90°. 71+g=90. g=19°
now look at f again. f and d are what's known as vertical angles and that means that they're angle measures are congruent. therfore the measure of d is 71° d=71°
Finally to find e we notice that angle d and e form a straight line which means both angles measures must add to 180°. therefore e can be found by computing d+e=180
aunaitituitmg our information we know 71+e=180 then e must equal 109° e=109°
It looks like the ODE is

with the initial condition of
.
Rewrite the right side in terms of the unit step function,

In this case, we have

The Laplace transform of the step function is easy to compute:

So, taking the Laplace transform of both sides of the ODE, we get

Solve for
:

We can split the first term into partial fractions:

If
, then
.
If
, then
.


Take the inverse transform of both sides, recalling that

where
is the Laplace transform of the function
. We have


We then end up with

Answer:
The probability is:

Step-by-step explanation:
Keep in mind that the probability of getting a head is always the same for each

Therefore the probability of not having a head is:

So if we throw the coin 4 times the probability P of not getting any head is:

