Answer:
3,888
Step by step explanation:
Just multiply by 3 to get the next number
or
Nth term= 16 x (3^N-1)
Answer:
y= 3- x/3
Step-by-step explanation:
To find the inverse function, swap x and y, and solve the resulting equation for x.
If the initial function is not one-to-one, then there will be more than one inverse.
So, swap the variables: y=9−3x so it becomes x=9−3y.
Now, solve the equation x=9−3y for y. You would just need to leave y alone so you divide by 3 on both sides (NOT negative 3. Just 3.)
Answer:
0.0816
Step-by-step explanation:
Given:
- Total number of students = 5000
- Number of students taking an online class = 1200
- Number of students prefer watching baseball to football = 1700
Let O = Students taking an online class
Let B = Students prefer watching baseball to football
Therefore,
P(O) = 1200/5000 = 0.24
P(B) = 1700/5000 = 0.34
If events O and B are independent,
⇒ P(O ∩ B) = P(O) · P(B)
= 0.24 × 0.34
= 0.0816
(f+g)(x) is equivalent to f(x) + g(x)
So that would be (7x-3) + (x²-4x) = x² + 7x - 4x - 3 = x² + 3x - 3
Hope this helps.
Answer:
<em>The freezing point of water increases by 0.0001 degrees Fahrenheit when the altitude increases by 1 foot.</em>
Step-by-step explanation:
The model for the freezing point of water T at altitude a is:
T(a)= 0.0001a+32
The slope of this equation is the coefficient of the variable a. Since the slope is positive, it means the freezing point of water increases by 0.0001 degrees Fahrenheit when the altitude increases by 1 foot.
For example, when a=1000, the freezing point is:
T(1000)= 0.0001*1000+32 = 32.1°F
When a=1001, the freezing point is:
T(1001)= 0.0001*1001+32 = 32.1001°F
Note the increase of 1 foot in altitued meant an increase of 32.1001-32.1 = 0.0001°F
