Answer:
Step-by-step explanation:
To find the probability, divide the number of desired outcomes by the total:
This will be 3/18, since there are 3 convertibles and there are 18 total cars
Simplify 3/18
= 
Answer:
x=4.34 seconds
Step-by-step explanation:
-16x^2+70x-2=0
x=4.34
Answer:
The equation that would represent it would be y - 1 = (x - 5)
Step-by-step explanation:
In order to get this, we can start with the base form of point-slope form.
y - y1 = m(x - x1)
Now put the point in for (x1, y1)
y - 1 = (x - 5)
Answer:
The base is decreasing at 2 cm/min.
Step-by-step explanation:
The area (A) of a triangle is given by:
(1)
Where:
b: is the base
h: is the altitude = 10 cm
If we take the derivative of equation (1) as a function of time we have:
We can find the base by solving equation (1) for b:
Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:
Therefore, the base is decreasing at 2 cm/min.
I hope it helps you!
Answer:
In 10 seconds, the garden hose will emit 15 quarts of water.
Step-by-step explanation:
The amount of water emitted by the garden hose over time can be expressed as a ratio: 9/6, or 9 quarts of water for every 6 seconds of time. We can then simplify this ratio to 3/2, or 3 quarts of water for every 2 seconds of time. Since the ratio will remain constant, or the same, over time, we can set up an equivalent ratio, or fraction to find the amount of water emitted in 10 seconds: 3/2 = x/10. We look at the denominators and see that 2 x 5 = 10. In order to make the ratios equivalent, we would also multiply the numerator by 5: 3 x 5 = 15, which gives us the amount of water emitted in 10 seconds.
