Answer:
if I am not mistaken the answer should be
11.25C?
Step-by-step explanation:
I did like terms to add 3c to 3c plus 4c minus .75 which would equal 11.25 c if it were to ask for expression then 12c-.75
Answer:
see explanation
Step-by-step explanation:
Using sum to product identities
cos x - cos y = - 2sin(
)sin(
) = 2sin(
)sin(
)
cos x + cos y = 2cos(
)cos(
)
Note that
sin10° = sin(90 - 10)° = cos80°
Thus
← cancel 2 from numerator/ denominator
=
× 
= tan45° × tan35° { tan45° = 1 ]
= 1 × tan35°
= tan35° ← as required
For this case we have the following expression:

From here, we must clear the value of a.
We then have the following steps:
Place the terms that depend on a on the same side of the equation:

Do common factor "a":

Clear the value of "a" by dividing the factor within the parenthesis:

Answer:
The clear expression for "a" is given by:

Answer:
x = 5.2
Step-by-step explanation:

Let's first simplify our first function:

Now, we just need to set this function equal to our other given function.

Now, we can add 12 to both sides:

Now, add 5x to both sides:

Finally, we'll divide both sides by 5:

Answer: x = 5.2
Answer:
Step-by-step explanation:
we know that
The equation of a exponential growth function is given by

where
y is the population of rabbits
x is the number of years since 1991
a is the initial value
r is the rate of change
we have

substitute

For the year 1998
the number of years is equal to
x=1998-1991=7 years
so
we have the ordered pair (7,18,000)
substitute in the exponential equation and solve for r


elevated both sides to 1/7


therefore


Predict the population of rabbits in the year 2006
Find the value of x
x=2006-1991=15 years
substitute the value of x in the equation

