If three times twice an unknown number equals 30, then the unknown number is 5.
It is given that three times twice an unknown number equals 30.
Let the unknown number be x.
From the above information,
⇒ 3*(2x) = 30
⇒ 6x = 30
∴ x = 5
Thus the unknown number is 5 .
Therefore, if three times twice an unknown number equals 30, then the unknown number is 5.
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undetectable) in 20 hours. There
exists a set of ordered pairs (t, m),
where t is the amount of time in hours
that the substance has been decaying,
and m is the mass in grams that has
decayed.
If t > 0, what is the range of m?
Answer:
The range is 0 < m < 2000 when t > 0
Step-by-step explanation:
* Lets explain how to solve the problem
- The exponential function is , where
a is the initial amount and b is the growth factor
- If b > 1, then it is exponential growth function
- If 0 < b < 1, then it is exponential decay function
* Lets solve the problem
- A 2000 gram sample of radioactive matter will completely decay
(be undetectable) in 20 hours
- There is a set of ordered pairs (t , m) exists, where t is the amount
of time in hours that the substance has been decaying and m is
the mass in grams that has decayed
∵ We can represent this situation by an exponential decay function
∴ , where b is the growth factor which is
greater than zero and less than 1 , t is the lime in hours and
m(t) is the mass of the substance in gram
- In any function the domain is the value of x and the range is
the value of y
∵ In the function the domain is t and the range is m
∵ When t = 0 then m = 2000 ⇒ initial amount
∵ When t = 20 then m will be closed to zero
∴ The domain of the function is 0 < t < 20
∴ The range of the function is 0 < m < 2000
* The range is 0 < m < 2000 when t > 0
Answer:
Step-by-step explanation:
Let
y ----> the altitude in feet
x ----> the time in seconds
we know that
The linear equation in slope intercept form is equal to
where
m is the slope ot unit rate
b is the y-intercept or initial value
In this problem we have
Your hot air balloon
The slope is equal to
The y-intercept is ---> represent a proportional relationship
The linear equation is
----> equation B
Another aircraft
The slope is equal to ---> is negative because is a decreasing function
The y-intercept is
The linear equation is
----> equation B
Equate equation A and equation B
solve for x
Adds 30x both sides
Divide by 34 both sides
2. Yellow and blue
3. Blue and blue
4. White and yellow
5. Not white and not white
6. Blue and not red