1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kicyunya [14]
3 years ago
7

I got 15, but apparently it isn’t the right answer. Help please!

Mathematics
1 answer:
SashulF [63]3 years ago
4 0
The answer would be 20
if you subtract 32 - 12 you get 20 and add 6 + 11 + 3 = 20
You might be interested in
Solve the Anti derivative.​
Alex Ar [27]

Answer:

\displaystyle \int {\frac{1}{9x^2+4}} \, dx = \frac{1}{6}arctan(\frac{3x}{2}) + C

General Formulas and Concepts:

<u>Algebra I</u>

  • Factoring

<u>Calculus</u>

Antiderivatives - integrals/Integration

Integration Constant C

U-Substitution

Integration Property [Multiplied Constant]:                                                                \displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx

Trig Integration:                                                                                                           \displaystyle \int {\frac{du}{a^2 + u^2}} = \frac{1}{a}arctan(\frac{u}{a}) + C

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \int {\frac{1}{9x^2 + 4}} \, dx<u />

<u />

<u>Step 2: Integrate Pt. 1</u>

  1. [Integral] Factor fraction denominator:                                                         \displaystyle \int {\frac{1}{9(x^2 + \frac{4}{9})}} \, dx
  2. [Integral] Integration Property - Multiplied Constant:                                   \displaystyle \frac{1}{9} \int {\frac{1}{x^2 + \frac{4}{9}}} \, dx

<u>Step 3: Identify Variables</u>

<em>Set up u-substitution for the arctan trig integration.</em>

\displaystyle u = x \\ a = \frac{2}{3} \\ du = dx

<u>Step 4: Integrate Pt. 2</u>

  1. [Integral] Substitute u-du:                                                                               \displaystyle \frac{1}{9} \int {\frac{1}{u^2 + (\frac{2}{3})^2} \, du
  2. [Integral] Trig Integration:                                                                               \displaystyle \frac{1}{9}[\frac{1}{\frac{2}{3}}arctan(\frac{u}{\frac{2}{3}})] + C
  3. [Integral] Simplify:                                                                                           \displaystyle \frac{1}{9}[\frac{3}{2}arctan(\frac{3u}{2})] + C
  4. [integral] Multiply:                                                                                           \displaystyle \frac{1}{6}arctan(\frac{3u}{2}) + C
  5. [Integral] Back-Substitute:                                                                             \displaystyle \frac{1}{6}arctan(\frac{3x}{2}) + C

Topic: AP Calculus AB

Unit: Integrals - Arctrig

Book: College Calculus 10e

7 0
3 years ago
A rectangular plant holder is 8 inches long 7 1/2 inches wide and 5 inches high. How much potting soil can the planter hold
Lesechka [4]

Answer:

300

Step-by-step explanation:

8 \times 7 \frac{1}{2}  \times 5 \times = 300

5 0
3 years ago
Read 2 more answers
A toy soldier set a selection of 6 weapons for 3 soldiers.
Rudik [331]

Answer:

2

Step-by-step explanation:

4 0
3 years ago
Jana planted 30 tulips. A total of 2/3 of those tulips have bloomed. How many of the tulips that Jana planted have bloomed?
kumpel [21]

20 tulips. 2/3=20/30 when you multiply both the denominator and numerator by 10.

8 0
3 years ago
Find f(x)=x^2-x^3,find f(-10)
sergij07 [2.7K]

Answer:

f(-10) = 1,100

Step-by-step explanation:

f(-10) = (-10)^2 - (-10)^3

= 100 - (-1000)

= 1,100

3 0
3 years ago
Other questions:
  • A pudding recipe requires 2/3 of a cup of milk for every 1 3/4 cups of sugar. What is the unit rate of sugar to milk in the pudd
    14·1 answer
  • Find the square of -3
    14·1 answer
  • Lines m and n are perpendicular. If the slope of m is zero, then the slope of n is
    13·2 answers
  • Given the relation of points, (7,-1),(3,5),(0,-4),(-2,-2), which of the following sets represents the RANGE of the relation? Cho
    13·1 answer
  • Find the range of the function rule y=5x−2 for the domain.{−12, 14, 25}
    9·2 answers
  • Should I add anything? Is this good? Should I change something?
    13·2 answers
  • 14. A delivery firm uses one fleet of trucks on daily routes of 8 h. A second fleet, with five more trucks than the first, is us
    15·1 answer
  • √5(√10+√3)<br><br>SHOW HOW YOU GOT THE ANSWER​
    14·1 answer
  • Manny drew a scale diagram of his classroom. His real classroom is 20 feet wide. Manny's drawing is 4 centimeters (cm) wide. Wha
    10·1 answer
  • FIND R, Interest problem
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!