The filling rate is 2/5=0.4 gallons per second. So the appropriate equation is A.
Answers:
5. 296
6. 479
7. 801
8. 920
9. $281
Step-by-step explanation:
For 5-8, you add the 2 numbers. Line up the numbers by their place value.
For 9, it says she starts with $233. She worked for 6 hours today. She makes $8 for every hour. First, you have to find how much she made today. 6 hrs times $8 for every hr is $48. In total, she has $281 because we added the amount she starts with, and the amount she earned today.
Answer:
Deduction in the step-by-step explanation
Step-by-step explanation:
If a P0=50.000 deposit is compound every instant, the ammount in the account can be modeled as:

If you pull out d dollars a year, the equation becomes:

If we derive this equation in terms of t, we have

The first term can be transformed like this:

So replacing in the differential equation, we have

Rearranging

Answer:

Step-by-step explanation:
Given:
Angle is in standard position which means the starting ray is at the origin. The terminal side has coordinates (3, -4).
So, the 'x' value is 3 and 'y' value id -4.
Using Pythagoras Theorem, we find the hypotenuse.
Hypotenuse = 
Now, using the sine ratio for the angle, we have

Therefore, the value of
is
.
The value is negative as the point (3, -4) lies in the fourth quadrant and sine ratio is negative in the fourth quadrant,
Answer:
[- 4, ∞ )
Step-by-step explanation:
the expression inside the radical must be greater than or equal to zero
x +4 ≥ 0 ⇔ x ≥ - 4
domain: x ∈ [- 4, ∞ )