3 years ago

You carry a 20 N bag of dog food up a 6 m flight stairs how much work was done?

Mathematics

1 answer:

PolarNik [594]3 years ago

6 0

Work = Force x Distance

20 x 6 = 120

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David earns 20% commission as a salesperson. He sold a hammock that cost $100. How much commission did David earn?

omeli [17]

He earned $20 because 20% of $100 is $20

6 0

2 years ago

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

If √6 is the geometric mean between 4 and another number, then the number is<br> 1.5<br> 9<br> 24

konstantin123 [22]

Correct answer is A.

g - geometric mean
$g= \sqrt{ab} 
\\
\\g= \sqrt{6} ,a=4,b=?
\\ \sqrt{6}= \sqrt{4b} 
\\ (\sqrt{6})^2= (\sqrt{4b} )^2
\\6=4b
\\
\\b= \frac{6}{4} = \frac{3}{2}=1.5$

4 0

3 years ago

Help please!!!!! ASAPPPPPPPPPP

crimeas [40]

The answer is
-5/8+9/2=3 7/8 or 31/8
so you should put 31 in the green box

4 0

2 years ago

23.82600 round to three significant figures

fomenos

Answer:

23.8 i think

Step-by-step explanation: