Answer:
The first one- 24, The second one-B
Step-by-step explanation:
The first one-Top corner=110, 110+46=156, 180-156=24
The other one-I have no clue how to explain it
Answer:
I dont now cause it depends on what you teacher asks of you
Let's find the derivative of that hyperbola in order to find a slope formula to help us with this equation. We already have an x and y value. The derivative is found this way:
so
. The derivative supplies us with the slope formula we need to write the equation. Sub in the x value of 3 to find what the slope is:
. So in our slope-intercept equation, x = 3, y = 1, and m = -1/3. Use these values to solve for b.
so b = 2. The equation, then, for the line tangent to that hyperbola at that given point is
Let x = number of months.
Let y = total number of fish in pond.
6% of 3,000 = 180 fish
We can use an equation to help us with this problem.
y = 3,000 + 180x - 400x. Combine like terms.
y = 3,000 - 220x. Plug 9 in for x.
y = 3,000 - 220(9). Solve for y
y = 1,020.
There are 1,020 fish in the pond after 9 months.
This problem can be solved by manipulating the formula for power, which is: P = VI. Where:
P = Power in watts
V= Voltage in volts
I = Current in amperes
Since we are already given the power and voltage, simple substitution can be done.
P = VI
3.5 watts = 120 volts * I
I = 3.5 / 120
I = 0.0292 Amperes or 29.2 milliAmperes
Therefore, the current through the bulb is 29.2mA
