Answer:
Approximately
7.5
hours
Step-by-step explanation:
Explanation:
We are trying to determine the value of
h
in the compound growth formula
XXX
20
×
(
1
+
0.85
)
h
=
2000
or, simplified:
XXX
1.85
h
=
100
Taking the
log
1.85
of both sides:
XXX
log
1.85
100
With the aid of my trusty spreadsheet:
XXX
h
≈
7.48582192
The first derivative of the function f(x) = x² - 5 is equal to f'(x) = 2 · x.
<h3>How to find the derivative of a quadratic equation by definition of derivative</h3>
In this question we have a quadratic function, in which we must make use of the definition of derivative to find the expression of its first derivative. Then, the procedure is shown below:
f(x) = x² - 5 Given
f' = [(x + h)² - 5 - x² + 5] / h Definition of derivative
(x² + 2 · x · h + h² - 5 - x² + 5) / h Perfect square trinomial
(2 · x · h + h²) / h Associative, commutative and modulative properties / Existence of additive inverse
2 · x + h Distributive, commutative and associative properties / Definition of division / Existence of multiplicative inverse
2 · x h = 0 / Result
The first derivative of the function f(x) = x² - 5 is equal to f'(x) = 2 · x.
To learn more on derivatives: brainly.com/question/25324584
#SPJ1
Answer:
i think b or d
Step-by-step explanation:
Answer: There 225 3-digit numbers multiple of 4
40 ways. 6!/3!(6-3)! =120. We are only trying to find 3 ways. 120 is the total, 120/30 =40. So 40 is the answer.
