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
TEA [102]
3 years ago
7

Simplify 12y^7/18y^-3. Assume y=0

Mathematics
2 answers:
qaws [65]3 years ago
8 0

For this case we must simplify the following expression:

\frac {12y ^ 7} {18y ^ {- 3}}

We have that by definition of properties of powers, it is fulfilled that:

a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}

Then, we can rewrite the expression:

12y ^ 7 * 18y ^ 3

By definition of multiplication properties of powers of the same base we have:

a ^ m * a ^ n = a ^ {m + n}

So:

12y ^ 7 * 18y ^ 3 = (12 * 18) * y ^ {7 + 3} = 216y ^ {10}

Answer:

216y ^ {10}

When y = 0 the expression is 0

gulaghasi [49]3 years ago
6 0

Answer:

its the third one i got that

You might be interested in
Imagine you are responsible for writing an advice column about mathematics. The following question is submitted to your column:
marissa [1.9K]

Explanation:

There are two different formulas that are useful with the given information:

  Area = (1/2)ab·sin(C)

  Area = √(s(s-a)(s-b)(s-c)) . . . where s=(a+b+c)/2

It does not matter which sides are designated a, b, and c. Angle C will be opposite side c.

The third angle can be computed based on the fact that the sum of angles in a triangle is 180°. It will be 180° -32° -28° = 120°. The least-to-greatest order of the angles is the same as the least-to-greatest order of the length of the opposite side. So, we might have ...

  • a = 7, A = 28°
  • b = 8, B = 32°
  • c = 13, C = 120°

Utilizing the first formula, the area is ...

  Area = (1/2)(7)(8)sin(120°) = 14√3 ≈ 24.249 . . . square units

Utilizing the second formula, the area is ...

  s = (7+8+13)/2 = 14

  Area = √(14(14-7)(14-8)(14-13)) = 14√3 ≈ 24.249 . . . square units

__

For the answer to be complete, it should be noted that using either of the other two angles will give different results for the area. That is because those angles are not exact values, but are rounded to the nearest degree. Using the first formula with the different angles, we get ...

  • area = (1/2)(8)(13)sin(28°) ≈ 24.413 . . . square units
  • area = (1/2)(7)(13)sin(32°) ≈ 24.111 . . . square units

The first of these answers is a little high because 28° is a little more than the actual value of the angle. Likewise, the second of these answers is a little low because 32° is slightly smaller than the actual angle.

In short, the most accurate information available should be used if the answer is to be the most accurate possible. If the angles are exact, then their values should be used. If the side measures are exact, then their values should be used. In general, it will be easier to make accurate measurements of the side lengths than to make accurate angle measurements.

7 0
3 years ago
3. In a circular park with a radius of 250 m there are 7 lamps whose bases are circles with
____ [38]

Answer:

Area of the lawn = 62493π m^2

Step-by-step explanation:

6 0
3 years ago
How to estimate 26.2 and 18.5
atroni [7]
Average or round? 
average: 22.35
rounded: 26 and 19
Hope this is what you wanted!
8 0
3 years ago
A catering company’s recipe for salad uses a ratio of 2 c of dressing to 4 lb of vegetables. Draw a model for the ratio. Write t
s2008m [1.1K]
The ratio of dressing to vegetable in its reduced form is determined by dividing the amount of dressing by the amount of vegetables. This will give us the answer of,
                                       2 c / 4 lb
In its simplest form, we divide both the numerator and denominator by 2 and the final answer would be,
                                              1 c / 2 lb
7 0
3 years ago
What should be added to both sides of the equation below to complete the square?
Sveta_85 [38]

Answer:

Step-by-step explanation:

x² + 6x = 8

Coefficient of the x term: 6

Divide it in half: 3

Square it: 3²

Add 3² to both sides of the equation to complete the square and keep the equation balanced:

x² + 6x + 3² = 8 + 3²

(x+3)² = 17

8 0
3 years ago
Other questions:
  • Determine the sign of cos pi divided by seven without using a calculator.
    15·1 answer
  • What is the midpoint segment with endpoints j(-3,-2),K(4,-6)?
    11·1 answer
  • How do I answer this?​
    14·1 answer
  • X+2y = −4<br> I forgot how to do the problem
    13·2 answers
  • What is the range of the function shown in the graph?
    8·2 answers
  • Which of the following is equivalent to 4x - 3x?<br> А 7х<br> B X<br> C -1<br> D 1
    12·1 answer
  • I need help PLZZZ!!!<br> Subtract<br> -5-(-6)=
    8·2 answers
  • A theater has 43 seats in the first row, 47 seats in the second row, 51 seats in the third row, and so on. How many seats are th
    15·2 answers
  • 3. The electric current, C, in amperes, in a circuit varies directly as the voltage, V. When 12 volts are
    10·1 answer
  • Find the unit rate. Enter your answer as a mixed number.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!