Answer:
Step-by-step explanation:
The two-point form of the equation of a line is:
We have:
x1 = 3
y1 = -2
x2 = 6
y2 = -8
Plug in all the values where they belong in the equation above.
Simplify.
Volume of a cylinder = cross sectional area * height
so...
height = 3m
cross sectional area = pi × radius^2
radius = 1/2 diameter
radius = 1/2 × 6 = 3
3.14 × 3^2
= 3.14 × 9
= 28.26
therefore...
volume of cylinder = 28.26 × 3
= 84.78 m^3
<span>The commutative and associative properties do not apply to both subtraction and division because once you move around your variables, you will produce different results, whereas in addition and multiplication, any change in position of numbers won't affect the result. The identity properties apply to them because once you add, subtract, multiply, or divide a certain number from any other number, you produce the same result, or, in other words, keep the number's "identity".</span>
Answer:
how many yards does each piece have to be
Step-by-step explanation:
Answer:
Step-by-step explanation:
Part 1:
Let
Q₁ = Amount of the drug in the body after the first dose.
Q₂ = 250 mg
As we know that after 12 hours about 4% of the drug is still present in the body.
For Q₂,
we get:
Q₂ = 4% of Q₁ + 250
= (0.04 × 250) + 250
= 10 + 250
= 260 mg
Therefore, after the second dose, 260 mg of the drug is present in the body.
Now, for Q₃ :
We get;
Q₃ = 4% of Q2 + 250
= 0.04 × 260 + 250
= 10.4 + 250
= 260.4
For Q₄,
We get;
Q₄ = 4% of Q₃ + 250
= 0.04 × 260.4 + 250
= 10.416 + 250
= 260.416
Part 2:
To find out how large that amount is, we have to find Q₄₀.
Using the similar pattern
for Q₄₀,
We get;
Q₄₀ = 250 + 250 × (0.04)¹ + 250 × (0.04)² + 250 × (0.04)³⁹
Taking 250 as common;
Q₄₀ = 250 (1 + 0.04 + 0.042 + ⋯ + 0.0439)
= 2501 − 0.04401 − 0.04
Q₄₀ = 260.4167
Hence, The greatest amount of antibiotics in Susan’s body is 260.4167 mg.
Part 3:
From the previous 2 components of the matter, we all know that the best quantity of the antibiotic in Susan's body is regarding 260.4167 mg and it'll occur right once she has taken the last dose. However, we have a tendency to see that already once the fourth dose she had 260.416 mg of the drug in her system, that is simply insignificantly smaller. thus we will say that beginning on the second day of treatment, double every day there'll be regarding 260.416 mg of the antibiotic in her body. Over the course of the subsequent twelve hours {the quantity|the quantity|the number} of the drug can decrease to 4% of the most amount, that is 10.4166 mg. Then the cycle can repeat.
