See the attached picture:
Information we know:
a 15 ounce cup takes 3 second to fill
determine variables:
x=3
y=15
rate:
y/x=3/15= 0.2
fixture an equation:
y=kx
y=0.2x
plug in 40 for x:
y=0.2(40)
=8
Thus, it should take 8 seconds to fill a 40-ounce cup of soda.
1) the small and large triangles are similar, then we can write:
x/24 = 8/18
Cross multiplication → 18x = 24.8 → 18x = 192 and x = 192/18
and x = 32/3 Or 10 ²/³
2) Δ ABC is similar to Δ EDC Since:
∠A = ∠D = 90°
∠C is common
Answer:
2/10 or 1/5
Step-by-step explanation:
there are 10 equal 'slices'
then count those with a J
that would be 2
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: ![\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20A%20%3D%20%5Cint%5Climits%5Eb_a%20%7B%5Bf%28x%29%20-%20g%28x%29%5D%7D%20%5C%2C%20dx)
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