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3 years ago

Help please!

1 answer:

7 0

Your starting point is 10 because 3 times 10 is 30 but then find how much you would need along with the .75 per box hint: .75+.75=1.50

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Match the expression on the left with the correct simplified expression on the right.

andriy [413]

Given: The expression below

$\begin{gathered} (\frac{(3x^3y^4)^3}{(3x^2y^2)^2})^2 \\ (\frac{(3x^4y^2)^4}{(3x^5y^2)^3})^2 \end{gathered}$

To Determine: The matching expression to the given expressions

Solution

Let us simplify each of the expressions using exponents rule

$\begin{gathered} Exponent-Rule1=(a^m)^n=a^{m\times n} \\ Exponent-Rule2=(\frac{a^m}{a^n})=a^{m-n} \end{gathered}$

Applying the exponent rule 1 above to the given expressions

$\begin{gathered} (3x^3y^4)^3=3^3x^{3\times3}y^{4\times3}=27x^9y^{12} \\ (3x^2y^2)^2=3^2x^{2\times2}y^{2\times2}=9x^4y^4 \end{gathered}$ $\begin{gathered} (3x^4y^2)^4=3^4x^{4\times4}y^{2\times4}=81x^{16}y^8 \\ (3x^5y^2)^3=3^3x^{5\times3}y^{2\times3}=27x^{15}y^6 \end{gathered}$

Applying the exponent rule 2

$\frac{(3x^{3}y^{4})^{3}}{(3x^{2}y^{2})^{2}}=\frac{27x^9y^{12}}{9x^4y^4}=\frac{27}{9}x^{9-4}y^{12-4}=3x^5y^8$ $\frac{(3x^{4}y^{2})^{4}}{(3x^{5}y^{2})^{3}}=\frac{81x^{16}y^8}{27x^{15}y^6}=\frac{81}{27}x^{16-15}y^{8-6}=3xy^2$

Let us not apply exponent rule 1 above

$(\frac{(3x^{3}y^{4})^{3}}{(3x^{2}y^{2})^{2}})^2=(3x^5y^8)^2=3^2x^{5\times2}y^{8\times2}=9x^{10}y^{16}$ $(\frac{(3x^{4}y^{2})^{4}}{(3x^{5}y^{2})^{3}})^2=(3xy^2)^2=3^2x^2y^{2\times2}=9x^2y^4$

Hence, the matching is as shown below

8 0

2 years ago

HELPPPPP PLEASEEEE!!!!!Find the Area of the Rectangle:

tangare [24]

Answer:

Step-by-step explanation:

IM NOT SURE I THINK BUT hope this helps :)

7 0

3 years ago

Do Now. Darren is standing on the top floor of a hotel which is 300 ft tall. He thought it would be fun to

Lady bird [3.3K]

Answer:

Since he is so high up the ball would take longer to hit the ground because of how far down it has to go.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length

a_sh-v [17]

.✎let's answer it :3

question ⇩

✎ The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.

The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.The width of the page is ___ inches.

<h3>answer ➡ 1.24 inches </h3>

hope it helps 

correct me if I am wrong 

<h3> by </h3><h2>#galadohannadivine29</h2>

6 0

2 years ago

Find a comples solution of 2x^2+x+6=0 (if there is more than ine solution separate them with commas)

babunello [35]

Answer:

x = -1/4 + sqrt(47)/4 i , -1/4 - sqrt(47)/4 i

Step-by-step explanation:

2x^2+x+6=0

using the quadratic formula

-b ±sqrt(b^2 -4ac)

--------------------------

-1 ±sqrt(1 -4(2)(6))

--------------------------

2(2)

-1 ±sqrt( 1 - 48)

------------------

-1 ± sqrt(-47)

-------------

-1 ± sqrt(-1) sqrt(47)

-------------------------

remember sqrt(-1) = i

-1 ± i sqrt(47)

----------------

x = -1/4 + sqrt(47)/4 i , -1/4 - sqrt(47)/4 i

6 0

3 years ago