Answer:
Step-by-step explanation:
The Jones family has saved a maximum of $750 for their family vacation to the beach. It means that whatever they would do during the vacation, they cannot spend more than $750.
The inequality can be used to determine the number of nights the Jones family could spend at the hotel is
750 ≥ 75 + 125h
This can also be written as
75 + 125h ≤ 750
We would solve the inequality for the value of h.
125h ≤ 750 - 75
125h ≤ 675
h ≤ 675/125
h ≤ 5.4
For any value of h greater than 5.4 hours, the inequality will not be true.
Since the only exclusion from the range is y=0, vertically scaling the graph by a factor of 6 doesn't change the range. (0 is still 0)
The appropriate choice is ...
<span>B: The range of both f(x) and g(x) is all nonzero real numbers</span>
Keywords:
<em>equation, variable, clear, round, centesima, neperian logarithm, exponential
</em>
For this case we have the following equation
, from which we must clear the value of the variable "x" and round to the nearest hundredth. To do this, we must apply properties of neperian and exponential logarithms. By definition:

So:
We apply Neperian logarithm to both sides:

We divide between "3" both sides of the equation:

Rounding out the nearest hundredth we have:

Answer:

Answer:

Step-by-step explanation:
step 1
Find the 
we know that
Applying the trigonometric identity

we have

substitute





Remember that
π≤θ≤3π/2
so
Angle θ belong to the III Quadrant
That means ----> The sin(θ) is negative

step 2
Find the sec(β)
Applying the trigonometric identity

we have

substitute




we know
0≤β≤π/2 ----> II Quadrant
so
sec(β), sin(β) and cos(β) are positive

Remember that

therefore

step 3
Find the sin(β)
we know that

we have


substitute

therefore

step 4
Find sin(θ+β)
we know that

so
In this problem

we have




substitute the given values in the formula



Answer:
40 inches
Step-by-step explanation:
We know that the height of water in a pool decreased 5 inches per week.
This means that we can form the equation
, since the amount of water remaining is proportionate to the amount of weeks that have passed.
We know
, since we need to find the change for 8 weeks.



The change will be the absolute value of -40, which just makes it positive, so 40.
Hope this helped!