<span>y – x – 4 = 0
+x +x
y - 4 = x
+4 +4
y = x +4
answer
</span><span>a f(x) = x + 4</span>
Answer:
You will have 128 orange marbles
Step-by-step explanation:
Set this up as an equation
Variable x = number of orange marbles
3/8 = 48/x
Cross multiply
3 × x = 8 × 48
3x = 384
Divide both sides by 3 to isolate the variable
3x ÷ 3 = 384 ÷ 3
1x = 128
x = 128
128 orange marbles
Check work:
Substitute the variable x for the answer
3/8 = 48/128
Cross multiply
3 × 128 = 8 × 48
384 = 384
If the numbers equal, the answer is correct
This is what it looks like. It opens to the right.
The mass of radioactive material remaining after 50 years would be 48.79 kilograms
<h3>How to determine the amount</h3>
It is important to note that half - life is the time it takes for the amount of a substance to reduce by half its original size.
Given the radioactive decay formula as
m(t)=120e−0.018t
Where
t= 50 years
m(t) is the remaining amount
Substitute the value of t


Find the exponential value
m(t) = 48.788399
m(t) = 48.79 kilograms to 2 decimal places
Thus, the mass of radioactive material remaining after 50 years would be 48.79 kilograms
Learn more about half-life here:
brainly.com/question/26148784
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Cone volume formula: V = πr²h/3
r = radius
h = height
The radius is half the diameter, so, we can divide.
2 / 2 = 1
Now, solve with the given values.
V = π(1)²(1)/3
V = π(1)(1/3)
V = 3.14(1/3)
V ≈ 1.05
Therefore, the volume is roughly 1.05m^3
Best of Luck!