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
Vsevolod [243]
2 years ago
13

PLease help me solve this

Mathematics
1 answer:
Mnenie [13.5K]2 years ago
4 0

Answer: 729

Step-by-step explanation:

\frac{1}{3^{-2} * 3^{-4} * (-1)^{2}  }

3^-2 = 1/9

3^-4 = 1/81

(-1)^2 = 1

1/(1/9 * 1/81 * 1)

1/ 1/729 = 729

You might be interested in
Which equation represents a line which is perpendicular to the line 5y-4x=-15 5y−4x=−15?
Lady bird [3.3K]
Y = -5/4x + b is the equation that represents a line that is perpendicular to the line 5y-4x=-15

If you want it in standard form, it is 5x+4y=-15
4 0
3 years ago
Give an example of a function F(x) that is an antiderivative of f(x) = 9 cos(9x)+ 3x^2
liubo4ka [24]

We are integrating f(x) = 9cos(9x) + 3x²:    \int\ {9cos(9x)+3x^{2} } \, dx

a) Apply the sum rule

\int\9cos(9x)} \, dx +\int\ 3x^{2} } \, dx

b) Calculate each antiderivative

<u>First integral</u>

\int\ {9cos(9x)} \, dx

1. Take out the constant

9\int\ {cos(9x)} \, dx

2. Apply u-substitution, where u is 9x

9\int\ {cos(u)\frac{1}{9} }  du

3. Take out the constant (again)

9*\frac{1}{9} \int{cos(u)}  du

4. Take the common integral of cos, which is sin

9*\frac{1}{9}sin(u)}

5. Substitute the original function back in for u and simplify9*\frac{1}{9} sin(9x) = sin(9x)

6. Always remember to add an arbitrary constant, C, at the end

sin(9x) + C

<u>Second integral</u>

\int3x^{2} } \, dx

1. Take out the constant

3\int{x^{2} } \, dx

2. Apply the power rule, \int{x}^{a}  \, dx =\frac{x^{a+1} }{a+1}, where <em>a</em> is your exponent

⇒ 3*\frac{x^{2+1} }{2+1}  = x^{3}

3. Add the arbitrary constant

x^{3}  + C

c) Add the integrals

sin(9x) + C + x³ + C = sin(9x) + x³ + C

Notice the two arbitrary constants.  Since we do not know what either constant is, we can combine them into one arbitrary constant.

<h3>Answer:</h3>

F(x) = sin(9x) + x³ + C

3 0
2 years ago
Read 2 more answers
The coordinate plane shows the floor plan for a swimming pool. What is the area of the pool's border?
LekaFEV [45]

Answer:

  border area: 100 m²

Step-by-step explanation:

The area of the pool border will be the overall area of the pool and boder, less the area of the pool. The area of each rectangle is the product of its length and width. The length and width of each can be found using the Pythagorean theorem.

__

<h3>Pythagorean Triple</h3>

The triple (3, 4, 5) is called a Pythagorean triple, because ...

  3² +4² = 5²

That is, a triangle with sides of lengths 3, 4, and 5 will be a right triangle with a hypotenuse of length 5.

__

<h3>Application to Pool/Border Dimensions</h3>

We notice that the sides of the rectangles in the figure have a rise/run of ±3/4 or ±4/3. In each case, the side of the rectangle is the hypotenuse of a triangle with dimensions a multiple of 3 or 4 meters. Hence the hypotenuse (rectangle side length) is the corresponding multiple of 5 meters. The attachment illustrates this point, showing a triangle with sides that are (6, 8, 10), 2 times the basic triple.

The pool is 5 m by 10 m, for an area of ...

  A = LW = (10 m)(5 m) = 50 m²

The overall area is 10 m by 15 m, for an area of ...

  A = (15 m)(10 m) = 150 m²

__

<h3>Border Area</h3>

The pool's border is the difference between the overall area and the pool area:

  150 m² -50 m² = 100 m² . . . . area of pool's border

7 0
2 years ago
How do u solve it, I'm stuck please help.
allochka39001 [22]
I think it’s 3 I’m not sure
3 0
3 years ago
Read 2 more answers
Given r= 10 and e=0.57, find the Cartesian coordinates. Check your answer.
Rudik [331]
I think it is d not sure tho
3 0
3 years ago
Other questions:
  • How get this answer 11/5-2/5
    13·2 answers
  • Advance tickets for a school play went on sale. The price of each student ticket was $4 and everyone else paid $5. On the first
    8·2 answers
  • Where does the 1 come from in this problem? The one that is under 1-r. We needed to solve for a? I'm just not sure why they put
    12·1 answer
  • Which statements are true about the rules of multiplication for signed numbers? Check all that apply.
    7·2 answers
  • Ian'sbirthdaypartycosts
    13·1 answer
  • I need help please it need to be correct
    10·1 answer
  • Helppp me please and
    14·1 answer
  • A) Findi
    13·1 answer
  • Will give brainliest to the correct answer (no links or account will be reported) :)
    9·1 answer
  • PLEASE HELP!! Theres two questions
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!