Answer: f(x)=3(2)^x (The second option)
Step-by-step explanation:
By plugging in x values from the chart into this equation, we can see it matches. For example, lets use x=3. 3*(2)^3 = 3*2*2*2 = 3*8 = 24. And 24 lines up with 3 on the chart. Solved!
Answer: (A) t = d/r
Explanation:
You can arrive at this answer algebraically, as well as by reasoning:
Algebraic:
d = rt | divide both sides by r. Note that r must never equal 0.
d/r = t
t = d/r --> choice (A)
Reasoning:
* the (time) must be proportional to (distance), i.e., the longer the distance the more time it will take.
* the (time) must be indirectly proportional to the (rate/speed), i.e., the faster Kate is moving the less time it will take her to the destination.
The two above are reflected in (A) and only in (A). You can apply a check to the remaining (B) - (D) choice to see that they do not satisfy the two logical expectations.
Answer:
Step-by-step explanation:
First lets prime factorize each number
24 = 2 x 2 x 2 x 3
36 = 2 x 2 x 3 x 3
45 = 3 x 3 x 5
GCF = 3 (3 is the only common prime number factor in the 3 numbers)
LCM = 2 x 2 x 2 x 3 x 3 x 5
= 24 x 3 x 5
= 72 x 5
= 360
Happy to help :)
Answer:
Step-by-step explanation:
We get to use the simple version of the half life equation:
where N is the amount of radioactive element left after a specific number of years,
N0 is the initial amount of the element,
t is the number of years (our unknown), and
H is the Half life of the element. For us,
N is 61
N0 is 70,
t is unknown,
H is 24 years. Filling in:
. We begin by dividing both sides by 70 to get:
and then take the natural log of both sides:
which allows us to bring down the exponent to the front on the right side:
. We divide both sides by ln(.5) to get:
and then multiply both sides by 24 to get:
t = 4.8 years
Answer:
7 + 2i is the simplified form
Step-by-step explanation: