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3 years ago

When 9^2/3 is written in simplest radicsl form, which value remains under the radical? 3 6 9 27

2 answers:

7 0

$\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 9^{\frac{2}{3}}\implies (3^2)^{\frac{2}{3}}\implies 3^{2\cdot \frac{2}{3}}\implies 3^{\frac{4}{3}}\implies \sqrt[3]{3^4}\implies \sqrt[3]{3^3\cdot 3^1}\implies 3\sqrt[3]{\stackrel{\textit{this one}}{3}}$

faust18 [17]3 years ago

3 0

Answer:

\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 9^{\frac{2}{3}}\implies (3^2)^{\frac{2}{3}}\implies 3^{2\cdot \frac{2}{3}}\implies 3^{\frac{4}{3}}\implies \sqrt[3]{3^4}\implies \sqrt[3]{3^3\cdot 3^1}\implies 3\sqrt[3]{\stackrel{\textit{this one}}{3}}

Step-by-step explanation:

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if a sequence is defined recursively by f(0)=4 and f(n+1)= -3f(n+1)=-3f(n)+1 for n≥0, then f(3) is equal to? DESPERATELY NEED HE

muminat

f(3) is equal to -101.

<u>Step-by-step explanation</u>:

The sequence is followed by f(0)=4
The given expression is f(n+1)= -3f(n)+1

Put n=0,

f(0+1)= -3f(0)+1

f(1)= -3(4)+1

f(1)= -12+1 = -11

Put n=1,

f(1+1)= -3f(1)+1

f(2)= -3(-11)+1

f(2)= 33+1 = 34

Put n=2,

f(2+1)= -3f(2)+1

f(3)= -3(34)+1

f(3)= -102+1

f(3)= -101

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3 years ago

In ΔUVW, the measure of ∠W=90°, WV = 39, UW = 80, and VU = 89. What ratio represents the cosine of ∠U?

kumpel [21]

Answer:

cos ∅ = 80/89

Step-by-step explanation:

As required from the question the picture below represent a triangle UVW . The angle W = 90°. The sides WV = 39 , VU = 89 and UW = 80. The triangle forms a right angle triangle .

Such triangle one can establish trigonometric relationship using the SOHCAHTOA principle.

The question requested us to find the ratio that represent the cosine of ∠U.

The ∠U is represented as ∅ .

Therefore,

cos ∅ = adjacent/hypotenuse

adjacent = 80. The adjacent side is the non hypotenuse side that is next to the given angle.

hypotenuse = 89 . Hypotenuse is the longest side of a right angle triangle and it opposite the right angle.

cos ∅ = adjacent/hypotenuse

cos ∅ = 80/89

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3 years ago

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Katyanochek1 [597]

Answer:

Factor: (x+1) (x+3)

Step-by-step explanation:

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3 years ago

Question 4(choose A, B, C, or D)

tresset_1 [31]

Answer:

I believe the answer is d

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3 years ago

PLEASE HELP! find the inverse matrix

Sauron [17]

Answer:

see explanation

Step-by-step explanation:

The inverse of a matrix A = $\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right]$ is

$A^{-1}$ = $\frac{1}{ad-bc}$ $\left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right]$

If ad - bc = 0 then the matrix has no inverse

A = $\left[\begin{array}{ccc}11&-5\\3&-1\\\end{array}\right]$

ad - bc = (11 × - 1) - (- 5 × 3) = - 11 - (- 15) = - 11 + 15 = 4 , then

$A^{-1}$ = $\frac{1}{4}$ $\left[\begin{array}{ccc}-1&3\\-5&11\\\end{array}\right]$ = $\left[\begin{array}{ccc}-0.25&0.75\\-1.25&2.75\\\end{array}\right]$

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3 years ago

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