Answer:
$1448
Step-by-step explanation:
Tax=rate*amount=(4/100)*36200=1448
Answer:
Step-by-step explanation:
A) win today's tennis match
Answer:
General Formulas and Concepts:
<u>Calculus</u>
Integrals
- Definite Integrals
- Area under the curve
- Integration Constant C
Integration Rule [Reverse Power Rule]:
Integration Rule [Fundamental Theorem of Calculus 1]:
Integration Property [Multiplied Constant]:
Integration Property [Addition/Subtraction]:
Area of a Region Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 6x + 19
Interval [12, 15]
<u>Step 2: Find Area</u>
- Substitute in variables [Area of a Region Formula]:
- [Integral] Rewrite [Integration Property - Addition/Subtraction]:
- [Integrals] Rewrite [Integration Property - Multiplied Constant]:
- [Integrals] Integrate [Integration Rule - Reverse Power Rule]:
- Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:
- Simplify:
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
Answer:
Bc = √63 ft
Step-by-step explanation:
Here, we want to get the length of BC
As we can see, there is a right angled triangle ABC, with 12ft being the hypotenuse and 9 ft the other side
So we want to get the third leg which is BC
we can use the Pythagoras’ theorem here
And that states that the square of the hypotenuse equals the sum of the squares of the two other sides
let the missing length be x
12^2 = x^2 + 9^2
144 = x^2 + 81
x^2 = 144-81
x^2 = 63
x = √63 ft
Answer:
Revolution = 127.24 revolutions
Step-by-step explanation:
<em><u>Circumference of the tire = πD</u></em>
Where D = 15 inch
So,
C = 15π = 47.1 inch
<u><em>In feets:</em></u>
47.1 inch = 3.93 feet.
So, <u>one revolution = 3.93 feet</u>
<u><em>Travelling 500 feet will make the following revolutions:</em></u>
Revolution = 500 feet/3.93 feet
Revolution = 127.24 revolutions