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
bixtya [17]
3 years ago
10

M2/n2 is equivalent to _____.

Mathematics
1 answer:
tankabanditka [31]3 years ago
8 0

Answer:

\frac{m^2}{n^2} is equivalent to m^2 \cdot n^{-2}

Step-by-step explanation:

Using exponent rules:

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

Given the expression:

\frac{m^2}{n^2}

⇒\frac{m^2}{n^2} = m^2 \cdot \frac{1}{n^2}

Apply the exponent rule, we have;

m^2 \cdot n^{-2}

Therefore, the given expression \frac{m^2}{n^2} is equivalent to m^2 \cdot n^{-2}

You might be interested in
If 5x=10. What is the value of x
Charra [1.4K]

Answer: 2

Step-by-step explanation:

This should be right because 5 * 2 = 10

5x mean that 5 * x = 10

Hope this makes sense

4 0
2 years ago
Read 2 more answers
Andre says 10x + 6 and 5x + 11 are equivalent because they both equal 16 when x is 1. Do you agree with Andre?​
Serga [27]

Answer:

No, They are not equivalent

Step-by-step explanation:

The two expressions are only said to be equivalent if they are the same regardless of whatever value the variable(s) is.

The variable in this question is x.

To prove this, we equate both expressions:

10x + 6 = 5x + 11

10x - 5x = 11 - 6\\\\\\5x = 5\\\\\\x = 1

This shows that they have the same value ONLY when x is 1.

This is why Andre says that they are equivalent, but they are not.

8 0
3 years ago
Tyler has to figure out the amount of metal to cover the back of the shelves in Mrs. Edwards room. These are the dimensions. Wha
horsena [70]

The amount of metal he will need to cover the back of the shelves is 180 inches².

The figure above is like a composite figure. Therefore, lets find the area.

<h3>Area of the composite figure</h3>

The area of the figure is the sum of the whole individual 2 dimensional shapes in the composite figure.

Therefore, two rectangles can be drawn from it.

area of rectangle = lw

where

l = length

w = width

Therefore,

area of rectangle 1 = 9 × 8 = 72 inches²

area of rectangle 2 = 6 × 18 = 108 inches²

Total area = 108 + 72 = 180 inches²

Therefore, the amount of metal he will need to cover the back of the shelves is 180 inches².

learn more on area here: brainly.com/question/25849553

4 0
2 years ago
The independent variable of a data set is r, while the dependent variable is s. which of these is an explanatory variable?
irina [24]
Explanatory variable = independent variable = r
3 0
3 years ago
How do you do these questions?
Doss [256]

Step-by-step explanation:

(a) Fₙ₋₁ > 0, so Fₙ₊₁ > Fₙ.  Each term is bigger than the one before it, so the function is increasing, meaning the series will diverge to infinity.

(b) Fₙ₊₁ / Fₙ = (Fₙ + Fₙ₋₁) / Fₙ

Divide.

Fₙ₊₁ / Fₙ = 1 + (Fₙ₋₁ / Fₙ)

Rewrite the second fraction using negative exponent.

Fₙ₊₁ / Fₙ = 1 + (Fₙ / Fₙ₋₁)⁻¹

Take the limit of both sides as n approaches infinity.

lim(n→∞) Fₙ₊₁ / Fₙ = 1 + lim(n→∞) (Fₙ / Fₙ₋₁)⁻¹

Substitute with φ.

φ = 1 + φ⁻¹

Solve.

φ² = φ + 1

φ² − φ − 1 = 0

φ = [ -(-1) ± √((-1)² − 4(1)(-1)) ] / 2(1)

φ = (1 ± √5) / 2

Since the ratio can't be negative:

φ = (1 + √5) / 2

4 0
3 years ago
Other questions:
  • Jenna's garden is 5 yards long. How long is her garden is feet?
    9·2 answers
  • What are 2 numbers that when multiplied together you get 360 and when added together you get -96
    7·1 answer
  • What is 7×8×12+2 ??????
    11·2 answers
  • The table shows the height of water in a pool as it is being filled. The slope of the line through the points is 2. Which statem
    8·1 answer
  • Take a look at the picture!
    10·2 answers
  • Please help will give brainliest
    9·1 answer
  • Tell whether the function is linear. Then evaluate the function when x=-6 times f(x) = 3x + 4
    6·1 answer
  • Simplify the rational expression -9x/x-x^2<br><br><br>See image attatched below SOMEONE HELP ME ASAP
    6·1 answer
  • What is the surface area?
    13·2 answers
  • What city was the first capital of the United States?​
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!