Find the area of a polygon

The table shows the number of yards a football player runs in each quarter of a game. Find the mean number of yards the player r

Art [367]

Show the pic of the table

7 0

4 years ago

Which expression is equivalent

gtnhenbr [62]

Answer:

Option B is correct.

$\frac{81m^2n^5}{8}$ is equivalent to $\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}$

Step-by-step explanation:

Given expression: $\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}$

Using exponents power:

$(ab)^n = a^nb^n$

$(a^n)^m = a^{nm}$

$a^m \cdot a^n = a^{m+n}$

Given: $\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}$

Apply exponent power :

⇒ $\frac{3^4 (m^{-1})^4(n^2)^4}{2^3(m^{-2})^3 n^3}$

⇒ $\frac{81 m^{-4}n^8}{8m^{-6}n^3} = \frac{81 m^{-4} \cdot m^6 n^8 \cdot n^{-3}}{8}$

⇒ $\frac{81 m^{-4+6} n^{8-3}}{8} = \frac{81 m^2 n^5}{8} = \frac{81m^2 n^5}{8}$

Therefore, the expression which is equivalent to $\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}$ is, $\frac{81m^2 n^5}{8}$

4 0

3 years ago

Read 2 more answers

3/8 ÷7/2 evaluates to

alina1380 [7]

Answer:

3/28

Step-by-step explanation:

You can rewrite 3/8 ÷7/2 to 3/8 x 2/7

then you can simplify which is 3/28

8 0

3 years ago

The motion of a weight that hangs from a spring is represented by the equation h=8sin(2pi/3t). It models the weight’s height abo

8090 [49]

Answer:

at t = 5.4485 units (maybe seconds, but it is not given)

Step-by-step explanation:

In the equation, h is the height above/below the rest position and t is the time.

Since we want to know WHEN (t) will it be 3 INCHES ABOVE (h = +3), we can simply plug in 3 into h and solve for t. Shown below:

$h=8Sin(\frac{2\pi}{3t})\\3=8Sin(\frac{2\pi}{3t})\\\frac{3}{8}=Sin(\frac{2\pi}{3t})\\\frac{2\pi}{3t}=Sin^{-1}(\frac{3}{8})\\\frac{2\pi}{3t}=0.3844\\2\pi=1.1532t\\t=\frac{2\pi}{1.1532}\\t=5.4485$

Hence,

At t = 5.4485 seconds (no unit of time is given, i am assuming seconds), the height of the weight will be 3 inches above the rest position.

6 0

3 years ago

Read 2 more answers

Maggie used the commutative property to write StartFraction 4 Over 5 EndFraction 6. 9 y minus 8 as the equivalent expression 6.

Elenna [48]

No, some of the terms changed signs, the correct option is C.

Given

Maggie used the commutative property to write;

$\rm \dfrac{4}{5} + 6.9y - 8$

<h3>Commutative property</h3>

The commutative property of addition states that the sum of any two numbers remains the same even when the position of the numbers is interchanged.

Then,

She did not apply the commutative property correctly because she changed the signs of 4/5 and 8 and in consequence, the result will not be the same.

A, B and C, for a commutative property

(A+B)+C = C+(A+B)

4/5 + 6.9y - 8 as the equivalent expression of:

6.9y + 8 - 4/5

Hence, No, some of the terms changed signs.

To know more about commutative property click the link given below.

brainly.com/question/778086

3 0

2 years ago