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statuscvo [17]
3 years ago
7

Given ln(y-4)=2t, solve for y

Mathematics
1 answer:
Julli [10]3 years ago
5 0
The answer to this problem is Y=2t+4
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How many terms are in the sequence: 1100, 1135, 1170,.......,3725?
Gennadij [26K]

well, the sequence goes, 1100, to 1135, to 1170.... notice, is simply adding 35 to get the next term, so the common difference is 35, and the first term is 1100 of course.


\bf n^{th}\textit{ term of an arithmetic sequence}
\\\\
a_n=a_1+(n-1)d\qquad
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\[-0.5em]
\hrulefill\\
a_1=1100\\
d=35\\
a_n=3725
\end{cases}
\\\\\\
3725=1100+(n-1)35\implies 3725=1100+35n-35
\\\\\\
3725=1065+35n\implies 2660=35n\implies \cfrac{2660}{35}=n\implies 76=n

6 0
3 years ago
The Voyager and the Ballad are sail boats. The Voyager and the Ballad start at the same point and travel away from each other in
Alik [6]
The Voyager will have traveled 42 miles because it’s moving at 14 miles an hour for three hours. using the same logic the Ballad will have traveled 57 miles. 42+57 is 99 so they are 99 miles apart.
3 0
3 years ago
Read 2 more answers
The price of an item was reduced by 10% and then by 20%. Is that the same as reducing the price by 30%? If not, then what percen
Natasha2012 [34]

Answer:

28%

Step-by-step explanation:

Hello,

When the item is reduced by 10%, this is like we multiply this price by 1-0.10=0.90

When the item is reduced by 20%, this is like we multiply this price by 1-0.20=0.80

When the item is reduced by 10% and then by 20%, this is like we multiply this price by 0.90*0.80=0.72

so this is equivalent that the item is reduced by 28% (as 1-0.28=0.72)

hope this helps

8 0
3 years ago
Hop on the baby waveeeee. put your baby pic as your profile pic to make a trenddddd
Alex787 [66]

Answer:

I did it is in my profile

Step-by-step explanation:

8 0
4 years ago
<img src="https://tex.z-dn.net/?f=9X%5E2-12X%2B4%3D0" id="TexFormula1" title="9X^2-12X+4=0" alt="9X^2-12X+4=0" align="absmiddle"
balu736 [363]
9x^2-12x+4=0 

(3x)^2-2\cdot 2\cdot3x+2^2=0

(3x-2)^2=0, but...(3x-2)^2 \geq 0 , ∨ x∈R

So, (3x-2)^2=0

3x-2=0 ⇒ 3x=2 ⇒ \boxed { x= \frac{2}{3}  }
8 0
3 years ago
Read 2 more answers
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