Answer:
(2, -1)
Step-by-step explanation:
We can add the first equation by the second
(4x + 6y = 2)+(-4x + 4y = -12)=
10y=-10
we divide both sides by 10 to get
y=-1
We plug -1 in the second equation to get:
-4x+4(-1)=-12
-4x-4=-12
-4x=-8
Now, we divide both sides by -4
x=2
Hope this helps!
Answer:
The initial mass of the sample was 16 mg.
The mass after 5 weeks will be about 0.0372 mg.
Step-by-step explanation:
We can write an exponential function to model the situation.
Let the initial amount be A. The standard exponential function is given by:
Where r is the rate of growth/decay.
Since the half-life of Palladium-100 is four days, r = 1/2. We will also substitute t/4 for t to to represent one cycle every four days. Therefore:
After 12 days, a sample of Palladium-100 has been reduced to a mass of two milligrams.
Therefore, when x = 12, P(x) = 2. By substitution:
Solve for A. Simplify:
Simplify:
Thus, the initial mass of the sample was:
5 weeks is equivalent to 35 days. Therefore, we can find P(35):
About 0.0372 mg will be left of the original 16 mg sample after 5 weeks.
The volume of a figure is the quantity of three-dimensional space enclosed by a closed surface, or simpler the number of cubes required to fill it completely.
The basic unit of volume in the metric system is the liter (l).There are 1000 liters per cubic meter.
Howeever, the unit of measure that would be appropriate for the volume of a sphere with a radius of 2 meters is cubic meters. Correct answer: C
Answer: The 3rd one! Letter C.
Step-by-step explanation:
I used a calculator!
Answer: 184
Step-by-step explanation:
The nth term of am arithmetic sequence is calculated as:
Nth term= a+(n-1)d
where a = first term
d = common difference
a = -10
d = -8 -(-10) = -8+10 = 2
98th term= a+(n-1)d
= -10 + (98-1)(2)
= -10 + (97×2)
= -10 + 194
= 184
The 98th term of the arithmetic sequence is 184
