Answer:
The answer to your questions are:
15.- 45 mg
16.- 25 kg
17.- 185 pounds
18.- 6 mg
Step-by-step explanation:
D = (a M) / (a + 12)
15.-
a = 4 years
M = 180
D = (4 x 180) / (4 + 12) = 720 / 16
D = 45 mg
16.- 1 pound --------------- 0.4535 kg
55 pounds ------------ x
x = 55 x 0.4535 / 1
x = 24.94 ≈25 kg
17.- 1 pound --------------- 0.4535 kg
x --------------- 84.09 kg
x = 84.09x 1 /0.4535
x = 185.42 pounds
18.- M = 18 mg what is 1/3 of the adult dose?
M = 18/3 = 6 mg
G(x) = 0 can never happen.
When x is 0, the answer is 4
When x is 1, the answer is 19.6
When x is 4, the answer is 66.4
According to Wolfram Alpha though, x is equal to -(10/39). If that's not a choice for you, don't worry about it. :)
Given:
The geometric sequence is:
1 -4
2 20
3 -100
To find:
The explicit formula and list any restrictions to the domain.
Solution:
The explicit formula of a geometric sequence is:
...(i)
Where, a is the first term, r is the common ratio and .
In the given sequence the first term is -4 and the second term is 20, so the common ratio is:
Putting in (i), we get
where
Therefore, the correct option is B.
Answer:
Step-by-step explanation:
We do not have enough information for slope intercept form. But we can use the point-slope formula to find the information. The formula is where we substitute a point (x,y) for .
We have m=3/4 and (4, 1). We input m and .
We now simplify the parenthesis and solve for y.
We convert -4 into a fraction with 1 as the denominator.
We add 1 to both sides to isolate y,
This is slope intercept form. The line as slope 3/4 and y-intercept (0,2) or b=2.
Answer:
Step-by-step explanation:
We have the two points: (0, 11) and (3, 50).
And we want to find the rate of change in y relative to x, where x is the gallons and y is the miles.
In simple terms, we want to find the slope between the two points.
So, let's use the slope formula:
Let (0, 11) be (x₁, y₁) and let (3, 50) be (x₂, y₂). Substitute. Let's also put "miles" in the numerator with the Ys and "gallons" in the denominator with the Xs. This yields:
Subtract and reduce:
And we're done!