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3 years ago

!!30 PTS!!

Mathematics

1 answer:

sp2606 [1]3 years ago

3 0

Do you mean 1 am? Because in Ohio it'd be 1 am, not 1 pm tho.

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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

F(x)=-x^2+x f(x)=−x Find f(−1)

STALIN [3.7K]

Answer:

Step 1: Set x to -1 in the first equation

$f(x) = -x^2 + x$

$f(-1) = -(-1)^2 + (-1)$

$f(-1) = -(1) - 1$

$f(-1) = -1 - 1$

$f(-1) = -2$

Step 2: Set x to -1 in the second equation

$f(x) = -x$

$f(-1) = -(-1)$

$f(-1) = 1$

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3 years ago

Find the surface area for both

Kay [80]

1) 16x16= 256ft
16x3x4= 192ft
add them together
256+192= 448ft2 (2 is the little number at the top next to the unit)

2) 3.14x7(2)= 153.86ft2
and i’m not sure on the other part SORRY

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3 years ago

How do i find an angle on any corner using sine ratio

jenyasd209 [6]

Answer:

Step-by-step explanation:

Make sure the computed ratio is present on your calculator and hit the sin^-1 key. This “inverse sine” function takes a known ratio and returns the angle that produced that ratio. For example, sin^-1(0.8) = 53.130 degrees.

for more;

https://sciencing.com/calculate-angle-sin-7413442.html

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3 years ago

Help me...im dumb...

Aleks [24]

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3 years ago

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