Answer:
14.7
Step-by-step explanation:
Perhaps your equation is ...
f(t) = N·e^(-0.2174t)
We want f(6) = 4, so ...
4 = N·e^(-0.2174·6) = N·e^-1.3044 ≈ 0.2713N
N = 4/0.2713 = 14.7 . . . . milligrams
The dose amount was about 14.7 mg.
-18 = xy + z
- z -18 = xy
-z-18/y = x
Answer:
x ∈ (-∞, -2) ∪ (2, ∞)
Step-by-step explanation:
To solve this problem we must factor the expression that is shown in the denominator of the inequality.
So, we have:

So the roots are:

Therefore we can write the expression in the following way:

Now the expression is as follows:

Now we use the study of signs to solve this inequality.
We have 3 roots for the polynomials that compose the expression:
.
Observe the attached image.
We know that the first two roots are not allowed because they make zero the denominator, we also know that (x + 5) ^ 2 is always positive because it is squared, so it is not necessary to include the numerator in the study of signs.
Note that:
when 
when 
Finally after the study of signs we can reach the conclusion that:
x ∈ (-∞, -2) ∪ (2, ∞)
Answer:
17.)
+
- 
18.) 
19.) 
20.) 
21.) 
22.) m^{6} +2m^{5} + m^{4}
23.) 2
m
^{7}+
3
m
^{6}
+
2
m
^{4}
+
10
m
^{3}
+
15
m^{
2}
+
10
Step-by-step explanation:
17.) Distribute
to all of the terms in the parenthesis.
18.) Combine Like Terms (x and
) Multiply all other terms by
19.) Multiply terms within the separate parenthesis together
20.) Use FOIL and expand the polynomial
21.) Use FOIL and expand the polynomial
22.) Combine like terms and multiply the contents of the parenthesis by the exponent
23.) Expand (
m^{
4}
+
5
)
(
2
m^{
3}
+
3
m
^{2}
+
2
) by multiplying each term in the first expression by each term in the second expression.
You would do (12 ÷ 8)6 or 12 ÷8 ×6