The answer is 18. Because 7*2=14+4=18
Answer:
It is not possible for Alice to score an average of 75% because what she needs to score in the fifth exam exceeds the maximum possible score.
Step-by-step explanation:
She scored an average 68% in all 4 exams.
This means; (68% + 68% + 68% + 68%)/4
Now, a fifth exam is added and we want to know if her average can now be 75%.
Thus, let the score in the 5th exam be x and we now have;
(68% + 68% + 68% + 68% + x)/5 = 75%
Multiply both sides by 5 to get;
(68% + 68% + 68% + 68% + x) = 375%
272% + x = 375%
x = 375% - 272%
x = 103%
The maximum score is 100% and therefore it is impossible for her to score 103%. Therefore it is not possible for Alice to score an average of 75%
Answer:
They earned $9.60 they will each get $4.80. Give or take.
Step-by-step explanation:
9.60÷2=4.80
Answer:
See Below.
Step-by-step explanation:
We have the equation:

And we want to show that:

Instead of differentiating directly, we can first square both sides:

We can find the first derivative through implicit differentiation:

Hence:

And we can find the second derivative by using the quotient rule:

Substitute:

Simplify:

Combine fractions:

Simplify:

Simplify:

Q.E.D.
Answer:
(d) 
General Formulas and Concepts:
<u>Algebra I</u>
- Functions
- Function Notation
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative Property [Addition/Subtraction]:
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>

<u>Step 2: Differentiate</u>
- Basic Power Rule:

- Simplify:

- Multiply:

Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e