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Sav [38]
3 years ago
5

3 square root of 112m to the 4 n to the 8 p to the 5

Mathematics
1 answer:
Jet001 [13]3 years ago
6 0
Its 123tttttwwwwwwwwwwwwwwwwwwwwwwwwwwwww
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How many terms are there in a geometric series if the first term is 4, the common ration is 3 and the sum of the series is 160
Marina CMI [18]
\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=4\\
r=3\\
S_n=160
\end{cases}

\bf 160=4\left( \cfrac{1-3^n}{1-3} \right)\implies 160=4\left( \cfrac{1-3^n}{-2} \right)\implies 160=-2(1-3^n)
\\\\\\
160=2(3^n-1)\implies \cfrac{160}{2}=3^n-1\implies 80=3^n-1
\\\\\\
81=3^n~~
\begin{cases}
81=3\cdot 3\cdot 3\cdot 3\\
\qquad 3^4
\end{cases}\implies 3^4=3^n\implies 4=n
3 0
3 years ago
It is now 3:15 pm. Is it possible to drive 135 miles and arrive before 5:00 pm if ypu drove 55 mph? Explain your answer
Troyanec [42]
Well, how long will it take you to drive 135 miles at 55mph?

at 55 mph, you're doing 55 miles every hour, so we can simply get the quotient of 135/55 and that's how many hours it'll take you to drive 135 miles at that speed.

\bf \cfrac{135}{55}\implies \cfrac{27}{11}\implies 2\frac{5}{11}~hours\implies \textit{about 2hrs, 27 minutes}

so, it takes you that long, however, from 3:15 to 5:00pm there are only 45mins + 60mins or 1hr and 45 minutes, namely 1¾ hr.

so 2hrs and 27 minutes is much later than 1¾ hr, so, no dice, you can't arrive at 5pm, actually you'll arrive around 5:42pm.
6 0
3 years ago
Read 2 more answers
The sum of two numbers is 59 and the difference is 5 what are the numbers
svlad2 [7]

Answer:

32 and 27

Step-by-step explanation:

59 - 5 = 54

54 ÷ 2 = 27( smallest no. )

27 + 5 = 32( largest no. )

3 0
3 years ago
Read 2 more answers
Use inductive reasoning to predict the next three numbers in the pattern.
Mademuasel [1]

The next three numbers in the pattern would be 768, -3072, 12,288.

<h3>What are the next three numbers?</h3>

Looking at the given sequence, it can be seen that the numbers increase by a multiple of 4.

-12 /3 = 4

48 / 12 = 4

192 / 48 = 4

The next three numbers would be:

192 x 4 = 768

768 x 4 = 3072

3072 x 4 =  12,288.

Examining the numbers, it can be seen that the positive and negative signs alternate. Thus, the numbers would be : 768, -3072, 12,288.

To learn more about mathematical sequence, please check: brainly.com/question/26578277

#SPJ1

4 0
2 years ago
The ratio of students to teachers at a school is 19:1 how many students are there in each total of people?
Valentin [98]

Answer:

D

Step-by-step explanation:

19*40= 760

3 0
3 years ago
Read 2 more answers
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