280 is the answer
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Answer:\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \left( 5^{\frac{3}{2}} \right)^{-\frac{2}{3}}\implies 5^{-\frac{3}{2}\cdot \frac{2}{3}}\implies 5^{-1}\implies \cfrac{1}{5}\implies 0.2 \\\\[-0.35em] ~\dotfill
\bf (256^{0.5})^{1.25}\implies [(2^8)^{0.5}]^{1.25}\implies [2^{8\cdot 0.5}]^{1.25}\implies [2^4]^{1.25}\implies 2^{4\cdot 1.25} \\\\\\ 2^5\implies 32 \\\\[-0.35em] ~\dotfill\\\\ ( 81^{-\frac{1}{6}} )^{\frac{3}{2}}\implies [(3^4)^{-\frac{1}{6}} ]^{\frac{3}{2}}\implies 3^{4\cdot -\frac{1}{6}\cdot \frac{3}{2}}\implies 3^{-\frac{12}{12}}\implies 3^{-1} \\\\\\ \cfrac{1}{3}\implies 0.33...
Step-by-step explanation: I don’t really know about inequalities can y’all help?
Answer:
Step-by-step explanation:
The input value at which f(x) = g(x) can be found by setting the right sides of each of those equal to each other and solving for x.
1.8x - 10 = -4 and
1.8x = 6 so
x = 3 1/3
The bold equation is the answer to the first part, and the second part is that x = 3 1/3
Answer:
The tree is 18ft tall
Explanation:
Shadow = Real
4ft = 6ft(man)
1ft = 1.5ft
Let tree = yft
12 = y
y = 12 × 1.5
= 18ft
(Correct me if i am wrong)
Step-by-step explanation:
Hey there!
Given eqautions are:
y = 2x + 1......... (i)
y = 4x - 3...........(ii)
<em>Putting eqaution (ii) in eqaution (i), we get;</em>
4x - 3 = 2x + 1
<em>~ Keep like terms on same side.</em>
4x - 2x = 1+3
<em>~ Perform operations. ( +, -, *, /)</em>
2x = 4
x= 4/2
Therefore, X= 2.
<em>Putting the value of X in eqaution (i)</em>
y = 2x+1
y = 2*2+1
Therefore, y= 5.
Therefore, the ordered pair is (2,5).
<em><u>Hope</u></em><em><u> it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>