Answer:
x = 15
Step-by-step explanation:
Because PQ is parallel to JL, 
Substituting, we have 
5(x-6) = 3x
5x - 30 = 3x
2x = 30
x = 15
Answer:
C(t) = $28,000(0.811)^t (Answer A)
Step-by-step explanation:
The value of the car is decreasing. Thus, by the end of the first year of ownership, the car will have the value $28,000(1 -0.189)^1, where the "-0.189" represents DECAY instead of GROWTH.
Please use " ^ " to indicate exponentiation.
Then the desired formula is C(t) = $28,000(0.811)^t (Answer A)
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:
997
From right to left, the place values are, ones, tens, hundreds, thousands, etc.
Answer:
5/36
Step-by-step explanation:
We need the least common denominator for 12 and 9.
12 = 2^2 * 3
9 = 3^2
LCD = 2^2 * 3^2 = 4 * 9 = 36
11/12 - 7/9 = 33/36 - 28/36 = 5/36
