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3 years ago

What is the sign of the quotient when a negative number is divided by another negative number

Mathematics

2 answers:

Nadya [2.5K]3 years ago

7 0

It is positive because two negatives make a positive number

skad [1K]3 years ago

6 0

When a negative number is divided by another negative number, <span>sign of the quotient would be positive and always positive</span>

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20 POINTS PLEAE HELP!!!!!!!!!!!!!!!

Alina [70]

His first payment is $100, thus a₁ = 100.

the next "term", month will be 1.1 times more than the one before, namely r = 1.1, the common ratio.

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=100\\
r=1.1\\
n=20
\end{cases}$

$\bf \sum\limits_{i=1}^{20}~100(1.1)^{i-1}\qquad \qquad\qquad \qquad S_{20}=100\left( \cfrac{1-1.1^{20}}{1-1.1} \right)
\\\\\\
S_{20}=100\left( \cfrac{1-\stackrel{\approx}{6.727499949}}{-0.1} \right)\implies S_{20}\approx 100(57.27499949)
\\\\\\
S_{20}\approx 5727.4999493256$

is the serie divergent or convergent?

well, to make it short, when the common ratio is 0 < | r | < 1, namely a fraction between 0 and 1, only then the serie is convergent, namely it reaches a fixed value, now in this case, 1.1 is a value larger than anything between 0 and 1, so no dice.

5 0

3 years ago

Read 2 more answers

Keisha the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the

gregori [183]

Answer:

Plan A last 0.75 hours or 45 minutes.

Plan B last 1.5 hours or 90 minutes.

Step-by-step explanation:

Let $a$ be the number of hours that the plan A last, an $b$ the number of hours of plan B. Then for the Wednesday you have:

$2a+3b=6$

And for the Thursday is:

$6a+5b=12$

Multiply the equation of Wednesday by -3:

$-6a-9b=-18$

Using the method of addition using this last equation and the equation of Thursday

$-6a-9b=-18\\6a+5b=12\\--------\\-4b=-6\\b=\frac{-6}{-4}\\b=1.5 hours$

Replacing the value of $b$ in one of the equations

$6a+5b=12\\6a+5(1.5)=12\\6a+7.5=12\\6a=12-7.5\\a=\frac{4.5}{6} \\a=0.75hours$

6 0

3 years ago

To cancel a term.its necessary to add the _____to both sides of the equation

ahrayia [7]

Answer:

To cancel a term, it is necessary to add the <em>opposite of the term</em> to both sides of the equation

Step-by-step explanation:

Adding opposites creates a sum of zero. Zero added to anything else does not change the its value. So, adding the opposite of a term effectively removes it from (that side of) the equation.

8 0

3 years ago

How do you calculate time by speed and distance?

professor190 [17]

Answer:

t=d/s

Step-by-step explanation:

search up distance speed time triangle (like the one attached) and memorize it. When u need to use it just draw it on a piece of paper and cover ur intended target. For example, if u want to find the time formula, cover the time section and you got the time formula, D/S. It helps for beginners.

5 0

3 years ago

If a club consists of 11 members, how many different arrangements of president, vice-president, and secretary are possible?

lozanna [386]

Answer: 990

Step-by-step explanation:

Because the club has 11 members, there are 11 ways to choose the president.

Because 1 person is now the president, there are only 10 people left who are candidates for vice-president. Therefore, there are only 10 ways to choose the vice-president.

Because 1 person is president and another is vice-president, out of those 11 members, there are now only 9 people who can be candidates for secretary. Therefore, there are 9 ways to choose the secretary.

Multiply the ways to choose a president, vice-president, and secretary out of 11 club members, and you get:

11 * 10 * 9 = 990 (ways)

3 0

3 years ago