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dedylja [7]
3 years ago
8

set a is the set of all non negative integers. Set B is the set of all non positive integers. which integer is in both sets?

Mathematics
2 answers:
jeka57 [31]3 years ago
5 0

Both sets contain 0 because it is neither negative or positive.

Answer: E

azamat3 years ago
3 0
E. 0 isn't positive or negitive
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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
Manuel wants to build a model of Captain America's famous shield out of cardboard. The outer ring of the shield is colored red.
zmey [24]

Answer:

615.44 in²

Step-by-step explanation:

The shape of Captain America's shield = Circular

The area of a circle = πr²

The radius of the whole shield = 14 inches.

The first ring = Red ring

Hence, the area of the red ring =

π = 3.14

3.14 × 14²

= 615.44 in²

The area of the space he needs to paint red is 615.44 in²

7 0
3 years ago
The lines shown below are parallel.if the green line has a slope of -1/2, what is the slope of the red line?
Delvig [45]

The anwser is D

because it is very easy


4 0
3 years ago
Read 2 more answers
Solve the equation:<br><br> a) -3 = 7+2t/3<br><br> b) 4(5x-2) = 7(2x+3) <br><br> c) 2x-6 = 30-2.5x
Umnica [9.8K]
Let's start by solving the first equation.

a) -3 = 7 + 2t/3 
To begin simplifying this equation, we should multiply both sides by 3 to get rid of the denominator on the right side of the equation.
-9 = 7 + 2t
Next, we should subtract 7 from both sides to cancel out the 7 on the right side.
-16 = 2t
Finally, we should divide both sides by 2.
t= -8


Now let's move on to the next equation.

b) 4(5x-2) = 7(2x+3)
Let's use the distributive property to get rid of the parentheses and their coefficients.
20x-8 = 14x + 21

Now, lets subtract 14x from both sides of the equation.

6x - 8 = 21

Next, let's add 8 to both sides of the equation.

6x = 29

And divide both sides by the coefficient of x, which is 6.

x = 29/6 or 4 5/6

Now for the last equation.

C) 2x - 6 = 20 - 2.5x
First, we should add 2.5x to both sides to cancel out the -2.5x on the right side of the equation.
4.5x - 6 = 20
Now, let's add 6 to both sides to get the variable term alone.
4.5x = 26
Finally, we should divide both sides by 4.5 to get x by itself.
x = 5 7/9

Hope this helps! :)
7 0
3 years ago
Let n be the middle number of three consecutive integers. write an expression for the sum of these integers.
mash [69]
(n-1)+n+(n+1)
With n as the middle of 3 integers, n-1 is the integer just before n and n+1 is the integer just after n.
8 0
3 years ago
Read 2 more answers
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